GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tma12m9.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tma12m9.tom,v 4.2 2001/07/05 06:56:17 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the nineth maximal subgroup of
## $A12$
##
#H tomlib history
#H --------------
#H $Log: tma12m9.tom,v $
#H Revision 4.2 2001/07/05 06:56:17 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tma12m9.tom,v
#H Working file: tma12m9.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:33:50; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:46:08; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tma12m9_tom :=
"@(#)$Id: tma12m9.tom,v 4.2 2001/07/05 06:56:17 gap Exp $";
SetActualLibFileName("tma12m9");
LIBTOM( "2^6:3^3:S4",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
4,6,7,13],[1,4,6,14],[1,2,15],[1,4,16],[1,2,8,17],[1,4,8,18],[1,6,7,8,19],[1,
7,8,20],[1,3,7,21],[1,4,22],[1,4,23],[1,3,6,24],[1,6,7,25],[1,7,26],[1,2,27],[
1,8,28],[1,4,29],[1,4,30],[1,5,6,31],[1,3,5,7,32],[1,2,4,8,33],[1,2,4,34],[1,
2,35],[1,4,8,36],[1,6,7,37],[1,2,7,38],[1,2,6,7,39],[1,3,4,40],[1,2,7,41],[1,
3,8,42],[1,4,43],[1,2,4,44],[1,2,3,45],[1,3,7,46],[1,4,7,47],[1,4,5,48],[1,7,
49],[1,3,5,8,50],[1,6,51],[1,2,3,5,52],[1,2,6,53],[1,4,7,54],[1,6,55],[1,5,12,
56],[1,2,10,57],[1,5,11,58],[1,2,9,59],[1,5,10,60],[1,3,10,61],[1,3,10,62],[1,
5,9,63],[1,4,9,64],[1,7,9,65],[1,8,12,66],[1,5,10,67],[1,6,9,68],[1,6,9,69],[
1,7,10,70],[1,3,12,71],[1,6,10,72],[1,4,8,16,18,22,36,73],[1,2,4,8,15,17,33,
74],[1,2,7,15,27,38,75],[1,2,4,8,17,36,44,76],[1,3,7,21,26,49,77],[1,2,6,15,
35,53,78],[1,2,4,8,17,18,33,34,36,79],[1,4,8,36,43,80],[1,2,6,7,25,37,38,39,
53,81],[1,3,4,22,40,82],[1,5,6,7,25,31,51,83],[1,3,4,6,14,24,40,84],[1,3,4,7,
21,40,54,85],[1,3,4,8,36,40,42,86],[1,2,4,8,27,33,35,87],[1,4,5,22,23,48,88],[
1,4,7,22,30,54,89],[1,2,4,15,34,44,90],[1,2,4,27,35,44,91],[1,2,4,8,17,18,33,
34,44,92],[1,4,8,16,36,93],[1,3,4,5,8,36,40,48,50,94],[1,4,8,18,28,36,95],[1,
2,4,8,16,18,33,34,96],[1,3,6,7,37,46,49,97],[1,3,4,8,23,36,40,98],[1,4,6,8,14,
30,36,99],[1,4,6,7,13,14,25,37,55,100],[1,4,6,7,13,25,26,37,54,101],[1,4,7,29,
47,102],[1,4,7,30,47,103],[1,2,6,7,8,17,19,20,39,41,104],[1,4,6,7,8,13,18,19,
20,47,105],[1,4,5,23,29,48,106],[1,2,4,6,27,34,53,107],[1,2,4,7,27,34,38,
108],[1,2,6,7,35,41,53,109],[1,2,6,7,27,41,53,110],[1,2,6,7,25,26,38,39,111],[
1,2,7,35,38,41,112],[1,3,4,7,40,46,54,113],[1,2,6,7,35,39,114],[1,2,6,7,27,35,
39,115],[1,2,4,7,27,34,38,116],[1,4,29,117],[1,4,8,23,36,43,118],[1,4,30,
119],[1,4,8,16,36,120],[1,2,3,5,8,17,42,45,50,52,121],[1,2,4,7,34,35,38,122],[
1,2,6,7,15,39,41,123],[1,2,4,6,7,8,14,19,33,39,54,124],[1,2,4,6,7,13,38,39,44,
53,125],[1,2,4,7,38,41,44,47,126],[1,2,4,8,30,33,127],[1,2,4,27,44,128],[1,2,
4,22,34,44,129],[1,2,4,8,16,33,44,130],[1,2,6,7,27,39,131],[1,3,6,7,8,19,21,
24,42,46,132],[1,4,6,7,13,14,16,54,133],[1,4,7,16,47,54,134],[1,2,6,7,37,39,
53,55,135],[1,3,4,16,23,40,136],[1,3,4,7,40,43,54,137],[1,4,6,14,43,138],[1,2,
4,6,7,13,34,39,41,47,139],[1,4,7,43,54,140],[1,4,29,43,141],[1,2,4,6,14,44,53,
142],[1,2,4,35,44,143],[1,4,23,30,43,144],[1,2,4,8,27,33,145],[1,2,4,8,17,28,
33,36,146],[1,2,4,27,44,147],[1,5,6,31,51,55,148],[1,4,16,30,149],[1,6,7,8,19,
26,37,150],[1,4,5,29,48,151],[1,3,4,5,30,40,48,152],[1,2,4,8,23,33,43,153],[1,
2,4,8,33,43,154],[1,3,4,29,40,155],[1,2,4,6,34,35,53,156],[1,2,4,7,38,44,54,
157],[1,3,4,22,40,43,158],[1,4,7,23,43,54,159],[1,4,23,29,160],[1,2,4,30,44,
161],[1,3,4,30,40,43,162],[1,3,6,24,51,55,163],[1,3,6,7,24,25,51,164],[1,2,4,
7,8,20,33,41,54,165],[1,4,22,23,166],[1,2,4,8,29,30,33,167],[1,2,4,6,7,8,13,
19,33,38,53,168],[1,2,4,7,8,20,33,38,47,169],[1,2,3,4,40,43,44,170],[1,3,4,30,
40,171],[1,4,6,14,51,172],[1,4,7,49,54,173],[1,6,7,8,19,51,174],[1,6,7,8,19,
49,175],[1,3,4,30,40,43,176],[1,2,6,8,17,27,53,177],[1,3,4,7,40,43,54,178],[1,
2,7,8,17,35,38,179],[1,4,22,43,180],[1,4,5,22,48,181],[1,4,7,8,29,36,54,182],[
1,4,7,8,30,36,54,183],[1,4,6,14,23,184],[1,3,4,30,40,185],[1,4,30,43,186],[1,
4,30,43,187],[1,2,3,5,7,21,32,41,45,46,52,188],[1,3,4,23,30,40,189],[1,3,4,6,
14,40,43,190],[1,2,7,8,17,27,38,191],[1,4,5,6,14,31,48,192],[1,2,6,7,39,51,
193],[1,2,6,7,39,49,194],[1,2,3,4,5,8,33,40,48,50,52,195],[1,2,3,4,8,33,40,42,
45,196],[1,3,4,8,36,40,43,197],[1,2,4,5,23,44,48,198],[1,3,5,8,28,42,50,199],[
1,2,4,8,22,33,36,200],[1,4,6,14,22,29,201],[1,4,5,30,43,48,202],[1,2,3,6,7,21,
24,39,45,46,203],[1,4,5,7,43,48,54,204],[1,2,3,5,15,45,52,205],[1,3,4,5,7,32,
40,48,54,206],[1,3,4,8,36,40,43,207],[1,4,5,6,14,23,48,208],[1,6,7,8,19,25,55,
209],[1,3,5,7,8,20,21,32,42,46,50,210],[1,2,7,27,38,41,211],[1,4,16,29,30,
212],[1,4,7,8,30,36,54,213],[1,3,6,7,21,37,49,214],[1,2,4,29,44,215],[1,3,4,
16,40,43,216],[1,2,3,5,6,7,24,31,32,39,52,217],[1,3,4,29,40,43,218],[1,3,4,16,
40,43,219],[1,4,5,8,36,43,48,220],[1,4,5,16,43,48,221],[1,3,4,7,23,40,54,
222],[1,4,7,43,54,223],[1,3,7,26,46,49,224],[1,3,5,6,7,8,19,24,31,32,50,225],[
1,11,12,226],[1,9,10,227],[1,10,11,228],[1,11,229],[1,9,10,11,230],[1,6,7,9,
25,65,69,231],[1,4,9,29,64,232],[1,4,7,9,47,64,65,233],[1,2,7,9,41,59,65,
234],[1,6,9,55,68,69,235],[1,6,7,9,37,65,68,69,236],[1,2,6,7,9,39,59,65,68,
237],[1,2,9,35,59,238],[1,2,7,9,38,59,65,239],[1,8,12,28,240],[1,6,9,51,69,
241],[1,4,6,9,14,64,69,242],[1,4,9,23,64,243],[1,2,11,15,244],[1,2,3,10,45,57,
62,245],[1,4,12,16,246],[1,3,8,12,42,66,71,247],[1,4,5,9,48,63,64,248],[1,2,7,
10,41,57,70,249],[1,2,9,27,59,250],[1,8,11,28,251],[1,2,4,9,34,59,64,252],[1,
4,6,7,9,13,64,65,68,253],[1,2,6,9,53,59,68,254],[1,4,9,22,64,255],[1,8,12,28,
66,256],[1,2,9,15,257],[1,2,6,7,10,39,57,70,72,258],[1,2,9,35,59,259],[1,2,6,
9,53,59,69,260],[1,2,9,15,59,261],[1,3,7,10,46,61,62,70,262],[1,6,12,55,263],[
1,4,11,22,264],[1,3,5,7,10,32,62,67,70,265],[1,2,10,15,266],[1,3,7,10,21,61,
62,70,267],[1,3,5,7,10,32,60,61,70,268],[1,7,12,26,269],[1,3,5,8,12,50,56,66,
71,270],[1,2,10,15,57,271],[1,4,10,22,272],[1,3,6,10,24,61,62,72,273],[1,2,3,
5,10,52,57,61,67,274],[1,5,6,10,31,60,67,72,275],[1,2,3,5,10,52,57,60,62,
276],[1,2,4,9,44,59,64,277],[1,2,3,10,45,57,61,278],[1,5,6,9,31,63,69,279],[1,
2,3,4,30,40,43,44,161,162,170,185,186,280],[1,2,4,6,7,13,35,38,39,41,44,47,53,
109,112,125,126,143,281],[1,2,4,6,7,13,27,35,38,39,44,53,91,115,125,131,147,
282],[1,4,8,16,18,22,28,36,73,95,283],[1,2,4,6,7,13,15,34,38,39,41,44,47,53,
90,123,125,126,139,284],[1,2,4,7,22,30,34,38,44,54,89,129,157,161,285],[1,2,4,
7,8,17,18,20,27,33,34,35,36,38,47,79,87,108,122,169,179,191,286],[1,2,4,6,7,
13,27,35,38,39,44,53,91,114,115,125,143,287],[1,2,4,8,16,17,18,22,28,33,34,36,
73,79,93,95,96,120,146,200,288],[1,2,4,6,7,8,13,17,18,19,27,33,34,36,38,53,79,
107,108,145,168,177,191,289],[1,3,4,6,8,14,23,30,36,40,43,98,99,118,144,184,
189,190,290],[1,2,4,6,7,13,27,29,38,39,44,53,125,128,215,291],[1,2,4,6,7,13,
27,38,39,41,44,47,53,110,125,126,147,211,292],[1,2,3,4,29,40,43,44,141,155,
170,215,218,293],[1,2,4,7,8,17,27,35,36,38,41,44,47,76,91,126,179,191,294],[1,
2,4,6,7,13,25,26,37,38,39,44,53,54,81,101,111,125,157,295],[1,2,4,8,16,27,33,
44,128,130,145,147,296],[1,2,4,6,7,8,13,17,27,36,38,39,44,53,76,125,128,177,
191,297],[1,2,4,6,7,8,13,17,18,27,33,34,35,38,39,44,53,91,92,116,125,156,177,
179,298],[1,2,3,4,7,21,38,40,43,44,54,85,157,170,178,223,299],[1,2,3,4,7,38,
40,43,44,46,54,113,137,140,157,170,300],[1,2,4,6,14,22,29,34,44,53,129,142,
201,215,301],[1,2,4,6,7,8,13,16,18,19,27,33,34,35,38,53,87,96,107,116,122,156,
168,302],[1,3,4,7,8,21,29,36,40,42,43,54,85,86,137,155,182,197,218,303],[1,3,
4,7,8,23,30,36,40,43,54,80,98,137,144,159,162,183,304],[1,2,4,15,29,34,35,44,
90,143,215,305],[1,2,4,8,16,27,33,35,44,87,91,130,143,147,306],[1,2,4,7,8,16,
20,33,38,41,44,47,54,126,130,134,157,165,169,307],[1,2,4,6,7,13,14,25,37,38,
39,44,53,55,81,100,125,135,142,308],[1,2,4,5,23,29,44,48,106,151,160,198,215,
309],[1,2,4,8,16,30,33,44,127,130,149,161,310],[1,2,3,5,6,7,24,31,32,35,39,49,
52,114,194,217,311],[1,3,4,5,7,8,29,32,36,40,43,48,50,54,94,151,182,204,206,
218,220,312],[1,3,4,5,7,8,21,30,36,40,43,48,50,54,85,94,152,176,183,204,207,
313],[1,2,4,6,7,13,27,30,38,39,44,53,125,128,161,314],[1,2,4,8,15,17,29,30,33,
74,127,167,315],[1,2,3,4,22,34,40,43,44,82,129,158,170,180,316],[1,2,3,4,30,
40,43,44,161,170,171,176,187,317],[1,2,3,6,7,21,24,27,39,45,46,51,131,193,203,
318],[1,2,4,7,29,38,41,44,47,102,126,215,319],[1,2,3,4,5,8,17,23,36,40,43,44,
48,50,76,94,98,118,170,198,220,320],[1,2,4,8,17,18,27,33,34,35,44,87,91,92,
128,145,321],[1,4,8,16,18,22,23,36,43,73,166,180,322],[1,4,8,16,18,22,36,43,
73,180,323],[1,3,4,8,16,18,22,23,36,40,73,82,98,136,166,324],[1,2,3,4,8,17,36,
40,42,43,44,76,80,86,170,197,207,325],[1,2,4,7,8,17,18,27,33,34,38,41,44,47,
92,116,126,128,191,326],[1,3,4,7,8,29,36,40,43,54,80,140,141,178,182,197,218,
327],[1,3,4,5,8,16,18,22,23,36,40,43,48,50,73,88,94,118,136,158,221,328],[1,3,
4,8,16,18,22,36,40,43,73,82,180,207,219,329],[1,2,4,7,27,35,38,41,44,47,54,91,
112,126,157,211,330],[1,2,4,7,27,35,38,41,44,47,126,128,143,331],[1,2,4,7,27,
38,41,44,47,126,128,147,332],[1,2,3,5,6,7,15,21,24,31,32,39,41,45,46,52,123,
188,203,205,217,333],[1,4,6,7,8,13,14,16,18,22,29,30,36,54,73,89,99,133,182,
201,212,334],[1,2,4,7,30,38,41,44,47,103,126,161,335],[1,2,4,27,35,44,91,128,
143,336],[1,2,4,22,34,43,44,129,180,337],[1,2,4,5,22,23,34,44,48,88,129,166,
181,198,338],[1,4,5,8,16,18,22,36,43,48,73,180,181,220,221,339],[1,2,4,22,34,
35,44,129,143,340],[1,2,4,7,27,38,44,54,128,157,341],[1,4,5,7,8,23,29,36,43,
48,54,106,118,141,159,182,204,220,342],[1,3,4,7,8,23,30,36,40,43,54,118,159,
178,183,187,189,207,343],[1,2,4,7,8,16,18,20,27,33,34,38,47,96,108,116,145,
169,344],[1,2,4,6,8,14,17,18,27,33,34,44,53,92,107,142,147,177,345],[1,4,6,7,
8,13,14,16,30,36,54,99,120,133,149,183,346],[1,4,7,8,16,29,30,36,47,54,120,
134,182,212,213,347],[1,4,7,8,16,29,30,36,47,54,93,134,182,183,212,348],[1,2,
3,5,6,7,24,31,32,37,39,51,52,53,55,135,148,163,193,217,349],[1,2,3,4,5,7,8,20,
21,32,33,40,41,42,45,46,48,50,52,54,85,113,165,188,195,196,206,210,350],[1,3,
4,5,8,16,36,40,43,48,50,80,93,94,197,219,220,221,351],[1,2,3,4,8,22,33,36,40,
42,43,45,154,158,196,197,200,207,352],[1,2,4,6,14,27,44,53,128,142,353],[1,2,
4,6,7,8,14,15,17,19,20,33,39,41,54,74,104,123,124,165,354],[1,2,3,4,8,29,30,
33,40,42,45,155,167,171,185,196,355],[1,2,4,8,15,17,18,33,34,36,44,74,76,79,
90,92,356],[1,2,3,4,8,17,23,28,33,36,40,42,43,45,98,146,153,196,197,207,357],[
1,2,4,6,7,8,13,14,16,18,19,20,33,34,39,41,47,54,96,105,124,133,134,139,165,
358],[1,2,3,4,5,7,23,32,38,40,43,44,48,54,157,159,170,198,204,206,222,359],[1,
2,4,5,6,14,23,31,44,48,53,142,184,192,198,208,360],[1,2,4,8,16,17,28,33,36,44,
76,93,120,130,146,361],[1,2,3,4,5,23,30,40,43,44,48,144,152,161,170,189,198,
202,362],[1,2,3,4,6,14,24,40,43,44,53,84,138,142,170,190,363],[1,4,6,7,13,14,
16,51,54,133,172,364],[1,4,6,7,13,14,16,49,54,133,173,365],[1,4,16,29,30,117,
212,366],[1,4,16,29,30,119,212,367],[1,3,4,7,8,23,30,36,40,42,46,54,86,98,113,
183,185,189,222,368],[1,2,4,22,27,34,44,129,147,369],[1,2,4,6,7,8,14,19,33,39,
51,54,124,172,174,193,370],[1,2,4,8,22,33,36,43,80,154,180,200,371],[1,2,4,6,
7,8,14,19,22,29,30,33,36,39,54,89,99,124,167,182,200,201,372],[1,2,4,7,8,20,
22,30,33,36,41,54,89,127,165,183,200,213,373],[1,2,6,7,8,17,19,20,39,41,49,51,
104,193,194,374],[1,2,4,6,7,13,15,27,34,35,38,39,44,53,75,78,90,91,107,122,
125,375],[1,2,4,7,15,27,34,38,41,44,47,75,90,108,126,128,376],[1,2,4,22,23,34,
44,129,166,377],[1,3,4,7,22,23,30,40,43,54,89,144,158,159,166,189,222,378],[1,
3,4,6,14,22,29,40,43,138,141,158,180,190,201,218,379],[1,4,5,7,22,23,30,43,48,
54,88,89,144,159,180,202,204,380],[1,2,4,15,27,34,35,44,90,91,128,381],[1,3,4,
7,8,23,30,36,40,43,54,118,137,159,186,189,197,213,382],[1,3,4,5,7,22,30,32,40,
43,48,54,89,152,158,181,202,204,206,383],[1,2,4,7,22,27,34,35,38,41,44,47,91,
108,122,126,129,384],[1,2,4,6,7,8,14,17,19,28,30,33,36,39,54,99,124,127,146,
183,213,385],[1,2,4,7,8,17,20,28,29,30,33,36,41,54,146,165,167,182,183,213,
386],[1,2,4,8,15,17,23,33,43,74,153,154,387],[1,4,6,7,8,13,14,16,30,36,54,93,
99,133,149,213,388],[1,3,4,8,16,23,36,40,42,43,86,93,98,118,136,207,216,389],[
1,2,4,8,17,18,27,29,33,34,44,92,147,215,390],[1,3,4,7,8,29,36,40,43,54,80,137,
141,182,207,218,223,391],[1,2,3,4,5,8,29,30,33,40,48,50,52,151,152,155,167,
195,392],[1,2,4,8,15,16,17,18,33,34,44,74,90,92,96,130,393],[1,4,5,7,8,30,36,
43,48,54,80,187,202,204,213,220,223,394],[1,2,4,15,22,34,44,90,129,395],[1,2,
3,4,5,8,17,28,33,36,40,42,45,48,50,52,86,94,121,146,195,196,199,396],[1,2,4,7,
15,27,34,38,44,54,75,90,116,147,157,397],[1,2,4,15,27,30,34,44,90,147,161,
398],[1,2,4,6,7,13,25,26,27,34,35,38,39,41,47,111,112,115,116,122,139,211,
399],[1,2,4,6,7,8,13,14,16,19,33,38,39,44,53,54,124,125,130,133,142,157,168,
400],[1,2,6,7,15,35,37,39,41,53,55,78,109,114,123,135,401],[1,3,4,5,6,8,14,23,
24,30,36,40,48,50,84,94,98,99,152,189,208,402],[1,2,4,8,16,17,18,22,33,34,36,
44,73,79,92,96,129,403],[1,2,4,8,17,18,28,33,34,36,44,76,79,92,95,146,404],[1,
2,4,8,16,29,30,33,44,130,161,167,212,215,405],[1,2,6,7,8,17,19,20,25,27,35,37,
38,39,41,53,81,104,109,115,177,179,211,406],[1,2,6,7,8,17,19,20,25,26,35,38,
39,41,104,111,112,114,179,407],[1,4,7,30,43,47,103,119,186,408],[1,3,6,7,8,19,
21,24,26,37,42,46,49,77,97,132,150,175,214,224,409],[1,3,4,6,8,14,24,30,36,40,
42,43,84,86,99,176,185,190,197,410],[1,2,4,6,7,8,14,19,33,39,49,54,124,173,
175,194,411],[1,2,4,8,29,30,33,117,167,412],[1,2,4,8,29,30,33,119,167,413],[1,
3,4,5,7,8,30,32,36,40,42,43,48,54,86,137,152,162,183,206,220,414],[1,3,4,6,7,
13,21,25,26,37,40,49,54,77,85,101,173,214,415],[1,4,7,8,16,18,22,30,36,47,54,
73,89,134,149,183,213,416],[1,2,4,6,8,14,17,30,36,44,53,76,99,142,161,417],[1,
2,4,27,35,44,91,128,147,418],[1,2,3,4,5,8,22,23,33,36,40,43,48,50,52,88,98,
153,158,195,200,220,419],[1,2,4,27,29,35,44,91,215,420],[1,3,4,7,22,30,40,43,
54,89,158,162,178,180,186,223,421],[1,2,4,6,7,8,13,15,17,19,27,33,35,38,53,74,
75,78,87,168,177,179,422],[1,2,4,6,7,13,22,27,34,38,39,44,53,107,108,125,128,
129,423],[1,2,4,29,44,117,215,424],[1,4,5,6,8,14,23,30,36,43,48,99,118,138,
144,202,208,220,425],[1,3,4,5,7,22,23,30,32,40,48,54,82,88,89,152,189,206,222,
426],[1,2,4,8,17,18,30,33,34,35,44,92,143,161,427],[1,2,3,4,5,8,15,17,33,40,
42,45,48,50,52,74,121,195,196,205,428],[1,2,3,4,8,29,30,33,40,42,43,45,154,
162,167,176,196,218,429],[1,2,3,4,5,8,30,33,40,43,48,50,52,127,154,162,176,
195,202,430],[1,2,4,7,8,17,18,33,34,35,38,44,54,92,122,143,157,179,431],[1,4,
5,7,8,30,36,43,48,54,80,140,183,186,202,204,220,432],[1,2,3,4,5,8,30,33,40,42,
45,48,50,52,127,152,171,185,195,196,433],[1,2,6,7,15,39,41,49,51,123,193,194,
434],[1,2,3,4,6,7,8,14,19,21,24,33,39,40,42,45,46,54,84,85,113,124,132,196,
203,435],[1,2,4,6,14,15,34,35,44,53,78,90,142,143,156,436],[1,2,4,6,7,8,13,17,
18,19,20,33,34,38,39,41,44,47,53,92,104,105,125,126,139,168,169,437],[1,3,4,5,
6,7,13,14,16,23,32,40,43,48,54,133,136,159,190,206,208,221,438],[1,3,4,7,16,
21,23,40,43,47,54,85,134,136,137,159,219,222,439],[1,2,4,8,16,18,29,30,33,34,
96,127,149,167,212,440],[1,2,3,6,7,21,24,25,26,38,39,45,46,49,77,111,194,203,
224,441],[1,2,6,7,15,25,27,35,37,38,39,41,53,75,78,81,110,112,115,123,442],[1,
2,6,7,15,25,26,27,38,39,41,75,111,123,131,211,443],[1,4,7,29,43,47,102,117,
141,444],[1,4,6,7,13,25,26,37,43,49,54,101,140,173,445],[1,4,7,30,43,47,103,
119,187,446],[1,4,6,7,13,25,26,37,43,49,54,101,173,223,447],[1,3,4,5,7,8,30,
32,36,40,42,43,48,54,86,152,176,178,206,213,220,448],[1,4,5,6,7,13,14,25,31,
37,48,51,55,83,100,148,172,192,449],[1,4,5,7,29,47,48,102,117,151,450],[1,3,4,
6,7,13,14,24,25,37,40,51,55,84,100,163,164,172,451],[1,2,4,6,7,14,27,35,38,41,
44,47,53,91,109,110,126,142,452],[1,3,4,6,7,13,25,26,37,40,46,49,54,97,101,
113,173,224,453],[1,3,4,7,30,40,47,103,119,171,454],[1,4,5,16,29,30,43,48,141,
151,202,212,221,455],[1,3,4,5,16,30,40,43,48,149,152,176,186,202,216,221,
456],[1,3,4,7,30,40,47,103,119,185,457],[1,4,5,6,14,22,23,29,48,88,106,160,
166,184,201,208,458],[1,2,3,4,5,6,7,8,14,19,23,33,39,40,43,48,50,52,54,124,
153,190,195,204,208,222,459],[1,2,4,8,17,27,35,36,44,76,143,147,460],[1,2,4,7,
8,17,29,36,38,44,54,76,157,182,215,461],[1,2,4,6,14,44,51,53,142,172,462],[1,
2,4,7,8,15,17,20,27,33,38,47,74,75,145,169,191,463],[1,2,4,6,7,8,14,19,27,33,
35,39,54,87,114,115,124,131,464],[1,3,4,6,14,22,24,29,40,43,82,84,155,158,190,
201,218,465],[1,2,3,4,8,16,18,23,33,34,40,42,43,45,96,136,153,196,216,219,
466],[1,2,3,4,5,8,16,18,33,34,40,43,48,50,52,96,154,195,216,219,221,467],[1,2,
4,6,7,8,14,19,33,39,43,54,124,138,140,154,223,468],[1,2,4,8,29,30,33,43,141,
154,167,186,187,469],[1,2,3,4,8,16,33,40,42,43,44,45,130,154,170,196,216,219,
470],[1,3,4,7,8,23,30,36,40,43,54,80,98,144,159,176,178,213,471],[1,2,3,4,5,6,
7,8,14,19,24,31,32,33,39,40,48,50,52,54,84,124,192,195,206,217,225,472],[1,3,
4,16,23,30,40,43,136,144,149,176,185,189,219,473],[1,3,4,6,8,14,30,36,40,43,
80,99,138,176,186,190,207,474],[1,3,4,8,16,23,36,40,42,43,86,98,118,120,136,
197,219,475],[1,3,4,5,8,16,36,40,43,48,50,80,94,120,207,216,220,221,476],[1,2,
4,6,7,13,25,27,34,37,38,39,41,47,53,81,107,110,116,131,139,211,477],[1,2,4,6,
7,13,25,34,35,37,38,39,41,47,53,81,109,112,114,122,139,156,478],[1,2,3,4,5,8,
17,28,33,36,40,43,48,50,52,146,154,195,197,207,220,479],[1,2,4,8,15,17,22,28,
33,36,74,146,200,480],[1,2,4,8,16,17,18,22,33,34,36,44,73,76,79,92,129,130,
200,481],[1,3,4,5,7,8,30,32,36,40,43,48,50,54,94,171,178,183,197,202,206,
482],[1,3,4,16,23,29,30,40,136,155,160,189,212,483],[1,4,6,7,8,13,18,19,20,47,
49,51,105,174,175,484],[1,3,4,5,16,23,29,30,40,43,48,106,136,144,152,212,218,
221,485],[1,4,16,29,30,212,486],[1,3,4,6,8,14,24,30,36,40,42,43,84,86,99,162,
171,190,207,487],[1,3,4,5,7,16,32,40,43,47,48,54,134,140,178,204,206,219,221,
488],[1,3,5,6,7,8,19,24,25,31,32,50,51,55,83,148,163,164,174,209,225,489],[1,
3,4,16,29,30,40,43,141,155,162,176,212,216,219,490],[1,3,4,16,29,30,40,43,171,
186,212,218,219,491],[1,3,4,7,8,21,23,30,36,40,42,54,85,86,98,171,189,213,222,
492],[1,3,4,5,7,16,32,40,43,47,48,54,134,137,204,206,216,221,223,493],[1,3,4,
7,8,29,36,40,42,43,46,54,86,113,155,178,182,207,218,494],[1,3,4,7,29,40,47,
102,117,155,495],[1,2,3,4,5,8,22,33,36,40,48,50,52,82,94,181,195,200,496],[1,
2,3,4,8,22,33,36,40,42,45,82,86,196,200,497],[1,3,4,16,29,30,40,43,185,187,
212,216,218,498],[1,4,7,23,29,47,102,117,160,499],[1,4,6,7,13,14,25,37,43,51,
55,100,138,172,500],[1,2,4,7,8,17,30,36,38,44,54,76,157,161,183,213,501],[1,2,
4,8,17,27,36,44,76,147,502],[1,2,4,6,7,8,13,14,19,25,26,33,37,38,39,53,54,55,
81,100,101,111,124,135,150,168,209,503],[1,4,5,6,14,22,23,29,31,48,88,106,151,
181,192,201,208,504],[1,2,4,6,7,8,13,19,20,27,33,35,38,41,53,54,87,109,110,
112,165,168,211,505],[1,2,4,7,8,20,29,30,33,38,47,102,103,167,169,506],[1,3,4,
7,8,23,30,36,40,43,54,118,140,144,162,207,213,222,507],[1,3,4,7,8,23,29,36,40,
43,54,98,118,159,160,182,218,222,508],[1,3,4,7,8,23,30,36,40,43,54,118,144,
176,183,197,222,223,509],[1,3,4,6,8,14,30,36,40,43,80,99,138,162,187,190,197,
510],[1,2,4,8,17,18,27,30,33,34,44,92,147,161,511],[1,3,4,6,7,13,14,16,21,40,
43,54,85,133,140,190,216,512],[1,4,7,16,29,30,47,54,102,103,134,212,513],[1,3,
4,6,7,13,14,16,40,43,46,54,113,133,190,219,223,514],[1,2,6,7,8,17,19,20,27,37,
39,41,53,55,104,110,131,135,177,515],[1,3,4,6,7,13,14,16,24,40,43,54,84,133,
137,138,178,216,219,516],[1,2,4,8,17,23,28,33,36,43,80,118,146,153,154,517],[
1,2,4,6,7,13,27,34,35,37,39,41,47,53,55,107,109,110,115,135,139,156,518],[1,3,
4,5,6,8,14,30,31,36,40,43,48,50,94,99,152,190,192,202,220,519],[1,2,3,6,7,21,
24,35,39,45,46,51,114,193,203,520],[1,3,4,6,7,13,14,16,23,24,40,54,84,133,136,
184,222,521],[1,3,4,7,16,23,40,43,46,47,54,113,134,136,159,178,216,222,522],[
1,3,4,7,22,30,40,43,46,54,82,89,113,137,158,171,176,523],[1,3,4,5,7,8,30,36,
40,43,46,48,50,54,94,113,152,162,197,204,213,524],[1,4,6,7,13,14,16,30,54,133,
149,525],[1,2,4,7,8,17,18,27,33,34,38,44,54,92,108,147,157,191,526],[1,2,3,4,
5,8,16,23,33,40,43,44,48,50,52,130,136,153,170,195,198,221,527],[1,3,4,5,16,
30,40,43,48,149,152,162,187,202,219,221,528],[1,2,3,4,7,8,20,23,33,40,41,42,
43,45,54,137,153,165,178,196,222,529],[1,3,4,7,22,30,40,43,54,89,137,140,158,
176,180,187,530],[1,3,4,8,16,18,22,36,40,43,73,82,180,197,216,531],[1,3,4,5,7,
8,23,29,32,36,40,48,50,54,94,98,106,155,182,206,222,532],[1,3,4,8,16,18,22,36,
40,42,43,73,80,86,158,216,219,533],[1,4,5,6,7,13,14,16,31,43,48,54,133,138,
192,204,221,534],[1,3,4,7,21,22,30,40,43,54,82,85,89,158,162,178,185,535],[1,
2,4,7,38,44,49,54,157,173,536],[1,4,6,7,13,14,16,25,26,37,54,55,100,101,133,
537],[1,3,4,16,23,30,40,43,136,144,149,162,171,189,216,538],[1,4,6,7,13,14,23,
25,37,51,55,100,172,184,539],[1,3,4,5,7,8,30,32,36,40,43,48,50,54,94,137,185,
202,206,207,213,540],[1,2,3,4,5,8,23,29,30,33,40,43,48,50,52,106,153,167,189,
195,202,218,541],[1,2,4,30,44,119,161,542],[1,2,3,4,6,7,8,14,19,33,39,40,42,
43,45,54,124,137,154,178,190,196,543],[1,2,3,5,6,7,24,27,31,32,39,49,52,131,
194,217,544],[1,2,3,4,5,7,8,20,33,40,41,43,48,50,52,54,137,154,165,178,195,
204,545],[1,2,4,7,8,20,27,30,33,38,47,127,145,169,546],[1,2,3,5,6,7,8,17,19,
20,21,24,31,32,39,41,42,45,46,50,52,104,121,132,188,203,210,217,225,547],[1,2,
4,8,23,30,33,43,127,144,153,154,186,187,548],[1,2,4,8,23,29,30,33,43,141,144,
153,160,167,549],[1,2,3,5,6,7,24,25,26,31,32,38,39,51,52,83,111,164,193,217,
550],[1,2,3,6,7,21,24,37,39,45,46,49,53,55,97,135,194,203,214,551],[1,2,4,6,7,
8,14,19,23,33,39,43,54,124,138,153,159,184,552],[1,2,4,8,22,23,33,36,43,118,
153,166,180,200,553],[1,2,3,4,8,23,30,33,40,42,43,45,127,153,162,176,189,196,
554],[1,2,4,8,27,29,30,33,145,167,555],[1,2,4,7,8,20,23,33,41,43,54,140,153,
154,159,165,223,556],[1,2,4,27,30,35,44,91,161,557],[1,2,9,10,57,59,227,558],[
1,5,9,10,60,67,227,559],[1,5,11,12,56,58,226,560],[1,5,10,11,58,60,228,561],[
1,6,9,10,11,69,72,230,562],[1,7,9,10,65,70,227,563],[1,5,9,10,11,60,63,230,
564],[1,6,9,10,68,72,227,565],[1,3,9,10,61,62,227,566],[1,5,9,10,11,58,63,67,
230,567],[1,6,9,10,68,69,227,568],[1,4,5,9,22,48,63,64,181,248,255,569],[1,2,
6,7,9,15,39,41,59,65,68,123,234,237,261,570],[1,2,3,5,9,15,45,52,63,205,257,
571],[1,2,4,8,10,22,33,36,57,200,272,572],[1,2,4,7,9,34,35,38,59,64,65,122,
239,252,259,573],[1,4,5,12,16,43,48,56,221,246,574],[1,2,4,6,9,34,35,53,59,64,
69,156,238,252,260,575],[1,4,9,22,23,64,166,243,255,576],[1,6,7,8,12,19,25,55,
66,209,263,577],[1,2,3,5,10,15,45,52,57,60,62,205,245,271,276,578],[1,2,4,6,9,
27,34,53,59,64,68,107,250,252,254,579],[1,4,5,9,29,48,63,64,151,232,248,580],[
1,3,4,12,16,40,43,71,219,246,581],[1,2,4,8,9,15,17,33,64,74,257,582],[1,2,7,9,
15,27,38,59,65,75,239,250,261,583],[1,2,7,10,15,27,38,70,75,266,584],[1,3,4,
12,16,23,40,71,136,246,585],[1,4,5,6,9,14,31,48,63,64,69,192,242,248,279,
586],[1,4,5,9,22,23,48,63,64,88,243,248,255,587],[1,4,9,23,29,64,160,232,243,
588],[1,4,6,9,14,22,29,64,69,201,232,242,255,589],[1,4,8,12,16,36,66,93,246,
590],[1,3,4,12,16,40,43,71,216,246,591],[1,2,4,7,9,27,34,38,59,64,65,108,239,
250,252,592],[1,3,5,8,12,28,42,50,56,66,71,199,247,256,270,593],[1,6,7,8,12,
19,26,37,66,150,269,594],[1,4,5,6,9,14,23,48,63,64,69,208,242,243,248,595],[1,
2,4,6,7,9,13,38,39,44,53,59,64,65,68,125,237,239,253,254,277,596],[1,2,6,10,
15,35,53,72,78,266,597],[1,4,5,9,23,29,48,63,64,106,232,243,248,598],[1,2,6,7,
9,27,35,39,59,65,68,115,237,238,250,599],[1,2,3,5,10,15,45,52,57,61,67,205,
271,274,278,600],[1,4,7,9,29,47,64,65,102,232,233,601],[1,2,4,10,15,34,44,57,
90,266,602],[1,4,8,12,16,36,66,120,246,603],[1,2,4,9,15,34,44,59,90,257,604],[
1,2,4,5,9,23,44,48,59,63,64,198,243,248,277,605],[1,4,6,9,14,23,64,69,184,242,
243,606],[1,3,4,10,22,40,61,82,272,607],[1,4,5,11,22,48,58,181,264,608],[1,2,
4,6,9,14,44,53,59,64,69,142,242,260,277,609],[1,2,6,7,9,35,39,59,65,68,114,
237,238,259,610],[1,2,4,9,29,44,59,64,215,232,277,611],[1,3,5,8,11,28,42,50,
58,199,251,612],[1,2,6,9,15,35,53,59,68,78,254,259,261,613],[1,2,4,9,15,34,44,
59,64,90,252,261,277,614],[1,2,7,9,15,27,38,65,75,257,615],[1,3,4,10,22,40,43,
62,158,272,616],[1,4,5,10,22,48,67,181,272,617],[1,2,6,7,9,27,41,53,59,65,69,
110,234,250,260,618],[1,4,8,12,18,28,36,66,95,240,619],[1,2,4,9,22,34,44,59,
64,129,252,255,277,620],[1,2,3,5,7,10,21,32,41,45,46,52,57,60,61,62,70,188,
249,262,267,268,276,278,621],[1,2,4,6,7,9,13,34,39,41,47,59,64,65,68,139,233,
234,237,252,253,622],[1,2,6,9,15,35,53,59,69,78,238,260,261,623],[1,2,3,5,11,
15,45,52,58,205,244,624],[1,5,6,7,9,25,31,51,63,65,69,83,231,241,279,625],[1,
4,6,7,9,13,14,25,37,55,64,65,68,69,100,231,235,236,242,253,626],[1,2,4,9,35,
44,59,64,143,238,277,627],[1,2,6,7,9,35,41,53,59,65,69,109,234,259,260,628],[
1,2,4,9,27,35,44,59,64,91,250,259,277,629],[1,2,3,5,6,7,10,24,31,32,39,52,57,
60,61,62,67,70,72,217,258,265,268,273,274,275,276,630],[1,2,3,6,7,10,21,24,39,
45,46,57,61,62,70,72,203,245,258,262,267,273,278,631],[1,2,4,8,12,16,33,44,66,
130,246,632],[1,3,7,12,26,46,49,71,224,269,633],[1,2,6,9,15,35,53,68,78,257,
634],[1,2,6,7,9,35,41,53,59,65,68,109,234,238,254,635],[1,2,3,5,7,10,21,32,41,
45,46,52,57,61,62,67,70,188,245,249,262,265,267,274,636],[1,4,5,10,22,23,48,
60,88,272,637],[1,4,6,10,14,22,29,72,201,272,638],[1,5,6,12,31,51,55,56,148,
263,639],[1,2,7,9,35,38,41,59,65,112,234,238,239,640],[1,3,7,12,21,26,49,71,
77,269,641],[1,2,4,9,27,44,59,64,128,250,277,642],[1,2,6,7,9,25,37,38,39,53,
59,65,68,69,81,231,236,237,239,260,643],[1,3,6,12,24,51,55,71,163,263,644],[1,
5,6,9,31,51,55,63,68,69,148,235,241,279,645],[1,2,6,7,9,37,39,53,55,59,65,68,
69,135,235,236,237,254,260,646],[1,4,6,9,14,51,64,69,172,241,242,647],[1,2,4,
7,9,38,41,44,47,59,64,65,126,233,234,239,277,648],[1,4,9,29,64,117,232,649],[
1,4,7,10,22,30,54,70,89,272,650],[1,2,6,7,9,15,39,41,69,123,257,651],[1,2,6,7,
10,15,39,41,57,70,72,123,249,258,271,652],[1,10,11,12,226,228,653],[1,9,10,11,
227,228,230,654],[1,10,11,228,229,655],[1,2,3,4,5,8,16,23,30,33,40,42,43,44,
45,48,50,52,127,130,136,144,149,152,153,154,161,162,170,171,176,185,186,187,
189,195,196,198,202,216,219,221,280,310,317,362,430,433,456,470,473,527,528,
538,548,554,656],[1,2,4,5,8,16,17,18,22,23,33,34,36,43,44,48,73,79,88,92,96,
129,166,180,181,198,220,221,322,337,338,339,403,657],[1,2,3,4,5,8,16,18,29,30,
33,34,40,43,48,50,52,96,127,141,149,151,152,154,155,162,167,176,186,187,195,
202,212,216,219,221,392,430,440,455,456,467,469,490,528,658],[1,2,3,4,7,27,38,
40,43,44,46,49,54,113,128,137,140,157,170,173,300,341,536,659],[1,2,3,4,27,30,
35,40,43,44,91,119,161,170,171,176,187,317,542,557,660],[1,2,3,4,8,16,17,18,
22,23,33,34,36,40,43,44,73,79,82,92,96,98,129,136,158,166,170,180,316,322,324,
377,403,661],[1,2,3,4,5,6,7,8,14,15,17,19,20,23,33,39,40,41,42,43,45,48,50,52,
54,74,104,121,123,124,137,153,154,165,178,190,195,196,204,205,208,222,354,387,
428,459,529,543,545,662],[1,2,4,8,15,16,17,18,27,33,34,35,44,74,87,90,91,92,
96,128,130,143,145,147,296,306,321,381,393,663],[1,2,4,6,7,8,13,14,15,16,17,
18,19,20,33,34,38,39,41,44,47,53,54,74,90,92,96,104,105,123,124,125,126,130,
133,134,139,142,157,165,168,169,284,307,354,358,393,400,437,664],[1,2,4,6,7,8,
14,15,17,19,20,22,28,29,30,33,36,39,41,54,74,89,99,104,123,124,127,146,165,
167,182,183,200,201,213,315,354,372,373,385,386,480,665],[1,2,3,4,5,7,8,16,20,
21,23,32,33,38,40,41,42,43,44,45,46,47,48,50,52,54,85,113,126,130,134,136,137,
140,153,154,157,159,165,169,170,178,188,195,196,198,204,206,210,216,219,221,
222,223,299,300,307,350,359,439,470,488,493,522,527,529,545,556,666],[1,2,3,4,
5,8,16,23,29,30,33,40,43,44,48,50,52,106,130,136,141,144,151,152,153,155,160,
161,167,170,189,195,198,202,212,215,218,221,293,309,362,392,405,455,483,485,
527,541,549,667],[1,2,4,7,15,27,34,35,38,41,44,47,54,75,90,91,108,112,116,126,
128,147,157,211,330,332,341,376,381,397,418,668],[1,2,4,6,8,14,15,17,18,27,30,
33,34,35,36,44,53,74,76,78,79,90,92,99,107,142,143,147,156,161,177,345,356,
398,417,427,436,460,669],[1,2,3,4,7,8,17,21,29,36,38,40,42,43,44,46,54,76,80,
85,86,113,137,140,141,155,157,170,178,182,197,207,215,218,223,293,299,300,303,
325,327,391,461,494,670],[1,2,3,4,6,7,8,13,14,19,21,24,25,26,33,37,38,39,40,
42,45,46,49,53,54,55,77,81,84,85,97,100,101,111,113,124,132,135,150,168,173,
175,194,196,203,209,214,224,409,411,415,435,441,453,503,551,671],[1,2,4,7,8,
17,18,27,28,29,33,34,36,38,44,54,76,79,92,95,108,146,147,157,182,191,215,390,
404,461,502,526,672],[1,2,4,8,16,17,18,22,23,33,34,36,43,44,73,76,79,92,118,
129,130,153,166,180,200,322,337,377,481,553,673],[1,3,4,6,7,8,13,14,16,18,22,
24,29,30,36,40,42,43,46,54,73,80,82,84,86,89,99,113,133,137,138,141,155,158,
162,171,176,178,180,182,186,190,201,207,212,216,218,219,223,329,334,379,391,
421,465,474,487,490,491,494,514,516,523,533,674],[1,2,4,6,7,8,13,17,18,27,29,
33,34,35,38,39,44,53,87,91,92,115,116,125,128,131,145,147,156,177,179,215,282,
291,298,321,390,418,420,675],[1,2,4,7,8,15,17,18,27,30,33,34,36,38,44,54,74,
75,76,79,90,92,108,116,147,157,161,183,191,213,356,397,398,501,502,511,526,
676],[1,2,3,4,5,7,8,20,21,22,30,32,33,36,40,41,42,43,45,46,48,50,52,54,82,85,
89,94,113,127,137,152,154,158,162,165,171,176,178,181,183,185,188,195,196,197,
200,202,204,206,207,210,213,313,350,352,373,383,430,433,482,496,523,524,535,
540,545,677],[1,2,4,6,14,15,22,29,34,35,44,53,78,90,129,142,143,156,201,215,
301,305,340,395,436,678],[1,2,3,4,5,6,7,8,13,14,16,19,23,24,31,32,33,38,39,40,
43,44,48,50,52,53,54,84,124,125,130,133,136,138,142,153,157,159,168,170,184,
190,192,195,198,204,206,208,217,221,222,225,359,360,363,400,438,459,472,521,
527,534,552,679],[1,2,4,8,16,17,18,22,27,30,33,34,35,36,44,73,76,79,87,91,92,
127,129,130,143,147,149,161,200,306,310,427,481,511,680],[1,2,4,6,14,22,29,34,
44,51,53,129,142,172,201,215,301,462,681],[1,2,3,4,6,7,8,14,19,21,22,24,29,30,
33,36,39,40,42,43,45,46,54,82,84,85,86,89,99,113,124,132,137,154,155,158,162,
167,171,176,178,182,185,190,196,197,200,201,203,207,218,303,352,355,372,410,
429,435,465,487,494,497,523,535,543,682],[1,2,3,4,5,7,8,20,21,22,23,30,32,33,
36,40,41,42,43,45,46,48,50,52,54,82,85,86,88,89,98,113,127,137,152,153,158,
162,165,171,176,178,183,185,188,189,195,196,200,206,210,213,220,222,350,368,
373,414,419,426,433,448,492,497,523,529,535,554,683],[1,2,4,8,15,16,17,18,29,
30,33,34,44,74,90,92,96,127,130,149,161,167,212,215,310,315,393,405,440,684],[
1,3,4,5,6,7,8,13,14,16,23,24,30,32,36,40,42,43,48,50,54,80,84,86,94,98,99,118,
120,133,136,137,138,144,149,152,159,162,171,178,183,187,189,190,197,202,206,
207,208,216,219,220,221,304,343,346,402,414,425,438,475,476,482,487,510,516,
528,538,685],[1,3,4,5,6,7,8,13,14,16,30,31,36,40,43,46,48,50,54,80,93,94,99,
113,133,138,149,152,162,187,190,192,197,202,204,213,219,220,221,223,351,388,
394,510,514,519,524,528,534,686],[1,2,4,8,16,17,18,22,27,33,34,36,44,73,76,79,
92,128,129,130,145,147,200,296,369,481,502,687],[1,2,3,4,5,8,15,17,22,23,28,
33,36,40,42,43,45,48,50,52,74,88,98,121,146,153,154,158,195,196,197,200,205,
207,220,352,357,387,419,428,479,480,688],[1,2,4,6,7,14,15,27,34,35,38,41,44,
47,53,75,78,90,91,108,109,110,126,128,142,143,156,331,336,353,376,381,436,452,
689],[1,2,4,8,15,16,17,18,22,28,33,34,36,44,73,74,76,79,90,92,93,95,96,120,
129,130,146,200,288,356,361,393,404,480,481,690],[1,3,4,5,7,8,16,29,30,32,36,
40,43,47,48,50,54,80,93,94,134,140,141,151,171,178,182,183,186,197,202,204,
206,212,218,219,220,221,312,327,348,351,432,455,482,488,491,691],[1,3,4,6,7,8,
13,14,16,23,24,30,36,40,42,43,46,54,84,86,98,99,113,118,120,133,136,144,149,
176,183,184,185,189,190,197,219,222,223,290,346,368,410,473,475,509,514,521,
692],[1,2,3,4,5,8,16,17,23,28,33,36,40,42,43,44,45,48,50,52,76,80,86,93,94,98,
118,120,121,130,136,146,153,154,170,195,196,197,198,199,207,216,219,220,221,
320,325,351,357,361,389,396,470,475,476,479,517,527,693],[1,2,4,7,8,16,18,20,
27,29,30,33,34,38,47,96,102,103,108,116,127,145,149,167,169,212,344,440,506,
546,555,694],[1,2,4,7,15,22,27,30,34,38,44,54,75,89,90,116,129,147,157,161,
285,369,395,397,398,695],[1,2,4,8,16,17,18,22,28,33,34,36,44,73,76,79,92,93,
95,96,120,129,130,146,200,283,288,403,404,481,696],[1,2,3,4,5,6,7,8,13,14,16,
18,19,20,21,23,32,33,34,39,40,41,42,43,45,46,47,48,50,52,54,85,96,105,113,124,
133,134,136,137,139,140,153,154,159,165,178,188,190,195,196,204,206,208,210,
216,219,221,222,223,350,358,438,439,459,466,467,488,493,512,514,522,543,556,
697],[1,3,4,7,8,16,18,21,22,23,30,36,40,42,43,46,47,54,73,80,82,85,86,89,98,
113,134,136,137,144,149,158,159,162,166,171,176,178,183,185,189,213,216,219,
222,304,324,368,378,416,439,471,473,492,522,523,533,535,538,698],[1,2,3,4,5,7,
8,17,20,21,23,28,29,30,32,33,36,40,41,42,43,45,46,48,50,52,54,85,86,94,98,106,
113,121,137,146,153,155,165,167,171,178,182,183,185,188,189,195,196,197,199,
202,206,207,210,213,218,222,303,350,355,357,368,386,396,482,492,494,529,532,
540,541,699],[1,2,4,7,8,15,17,18,27,29,33,34,35,36,38,44,54,74,75,76,79,90,92,
116,122,143,147,157,179,182,215,305,356,390,397,431,460,461,700],[1,2,3,4,5,8,
16,17,18,22,23,28,33,34,36,40,42,43,45,48,50,52,73,79,80,86,88,93,94,95,96,98,
118,120,121,136,146,153,154,158,195,196,197,199,200,207,216,219,220,221,288,
328,351,352,389,396,419,466,467,475,476,517,533,701],[1,2,4,6,7,8,13,14,16,18,
19,20,25,26,27,33,34,35,37,38,39,41,47,53,54,55,81,87,96,100,101,105,107,109,
110,111,112,114,115,116,122,124,131,133,134,135,139,150,156,165,168,209,211,
302,358,399,464,477,478,503,505,518,702],[1,3,4,5,7,8,16,18,21,22,23,30,32,36,
40,43,47,48,50,54,73,82,85,88,89,94,118,134,136,137,140,144,149,152,158,159,
162,176,178,180,183,185,187,189,202,204,206,207,213,219,221,222,313,328,329,
343,380,416,426,439,473,488,507,528,530,535,540,703],[1,2,4,6,7,8,13,14,16,17,
18,19,22,27,33,34,36,38,39,44,53,54,73,76,79,92,107,108,124,125,128,129,130,
133,142,145,147,157,168,177,191,200,289,296,297,345,400,423,481,526,704],[1,2,
3,4,8,16,17,18,22,33,34,36,40,43,44,73,79,82,92,96,129,158,170,180,207,219,
316,323,329,337,403,705],[1,2,3,4,5,6,7,8,13,14,16,18,19,20,24,31,32,33,34,39,
40,41,43,47,48,50,52,54,84,96,105,124,133,134,137,138,139,140,154,165,178,192,
195,204,206,216,217,219,221,223,225,358,467,468,472,488,493,516,534,545,706],[
1,2,4,7,8,16,17,18,20,22,27,33,34,35,36,38,41,44,47,54,73,76,79,87,91,92,108,
122,126,129,130,134,143,147,157,165,169,179,191,200,286,294,306,307,384,431,
481,526,707],[1,2,3,4,15,22,34,40,43,44,82,90,129,158,170,180,316,337,395,
708],[1,2,3,4,5,7,8,17,23,29,32,36,38,40,43,44,48,50,54,76,94,98,106,118,141,
151,155,157,159,160,170,182,198,204,206,215,218,220,222,293,309,312,320,342,
359,461,508,532,709],[1,3,4,6,7,8,13,14,16,21,23,24,30,36,40,42,43,54,84,85,
86,93,98,99,118,133,136,140,144,149,162,171,184,189,190,207,213,216,222,290,
388,389,487,492,507,512,521,538,710],[1,2,4,8,16,27,29,30,33,44,128,130,145,
147,161,167,212,215,296,405,555,711],[1,2,3,4,8,16,17,18,22,33,34,36,40,43,44,
73,79,82,92,96,129,158,170,180,197,216,316,323,337,403,531,712],[1,2,4,7,22,
30,34,38,44,54,89,119,129,157,161,285,542,713],[1,3,4,7,8,16,23,29,30,36,40,
42,43,46,47,54,86,93,98,113,118,134,136,155,159,160,178,182,183,185,187,189,
207,212,216,218,222,343,348,368,389,483,494,498,508,522,714],[1,2,4,7,8,16,17,
18,20,22,30,33,34,36,38,41,44,47,54,73,76,79,89,92,126,127,129,130,134,149,
157,161,165,169,183,200,213,285,307,310,373,416,481,501,715],[1,2,4,6,14,22,
29,34,44,53,117,129,142,201,215,301,424,716],[1,2,4,6,7,13,15,22,27,34,35,38,
39,41,44,47,53,75,78,90,91,107,108,122,123,125,126,128,129,139,284,375,376,
381,384,395,423,717],[1,2,3,4,6,7,8,13,14,16,19,21,24,33,38,39,40,42,43,44,45,
46,53,54,84,85,113,124,125,130,132,133,137,138,140,142,154,157,168,170,178,
190,196,203,216,219,223,299,300,363,400,435,468,470,512,514,516,543,718],[1,2,
4,6,8,14,17,18,27,28,30,33,34,36,44,53,76,79,92,95,99,107,142,146,147,161,177,
345,404,417,502,511,719],[1,2,4,7,22,30,34,38,44,49,54,89,129,157,161,173,285,
536,720],[1,4,6,7,8,13,14,16,25,26,30,36,37,54,55,99,100,101,120,133,149,183,
346,525,537,721],[1,2,4,8,16,17,18,22,27,33,34,35,36,44,73,76,79,87,91,92,129,
130,143,147,200,306,340,369,460,481,722],[1,2,3,4,5,7,8,17,23,30,32,36,38,40,
42,43,44,46,48,50,54,76,80,86,94,98,113,118,137,140,144,152,157,159,161,162,
170,183,185,186,189,197,198,202,204,206,207,213,220,222,280,300,304,320,325,
359,362,368,382,414,432,501,507,524,540,723],[1,2,4,6,7,13,22,25,26,27,30,34,
37,38,39,44,53,54,81,89,101,107,108,111,125,128,129,157,161,285,295,314,341,
423,724],[1,2,4,6,7,13,22,27,34,35,38,39,41,44,47,53,91,107,108,109,112,114,
115,122,125,126,128,129,143,281,287,331,336,340,384,423,725],[1,2,3,4,5,7,8,
17,21,23,30,32,36,38,40,42,43,44,48,50,54,76,80,85,86,94,98,118,144,152,157,
159,161,170,171,176,178,183,187,189,197,198,202,204,206,207,213,220,222,223,
299,313,317,320,325,343,359,362,394,448,471,482,492,501,509,726],[1,2,3,4,6,8,
14,17,24,30,36,40,42,43,44,53,76,80,84,86,99,138,142,161,162,170,171,176,185,
186,187,190,197,207,280,317,325,363,410,417,474,487,510,727],[1,2,4,6,7,14,22,
27,29,34,35,38,41,44,47,53,91,102,108,109,110,122,126,129,142,201,215,301,319,
384,420,452,728],[1,3,4,5,6,7,8,13,14,16,18,22,23,24,29,30,32,36,40,43,48,50,
54,73,82,84,88,89,94,98,99,106,118,133,136,144,152,155,158,159,160,166,182,
184,189,190,201,206,208,212,218,221,222,290,324,328,334,378,402,426,438,458,
465,483,485,508,521,532,729],[1,2,3,4,7,8,20,29,30,33,38,40,42,45,47,102,103,
119,155,167,169,171,185,196,355,413,454,457,506,730],[1,2,4,6,7,8,13,14,16,19,
27,33,35,38,39,44,53,54,87,91,114,115,124,125,130,131,133,142,143,147,157,168,
282,287,306,400,464,731],[1,2,4,8,23,27,29,30,33,43,119,141,144,145,153,160,
167,413,549,555,732],[1,3,4,5,7,8,16,18,22,23,30,32,36,40,43,46,47,48,50,54,
73,82,88,89,94,113,118,134,136,137,144,149,152,158,159,162,171,176,178,180,
183,186,189,197,202,204,206,213,216,221,222,223,328,380,382,416,421,426,456,
482,493,509,522,523,524,531,538,733],[1,3,4,5,7,8,16,18,22,30,32,36,40,42,43,
47,48,54,73,80,86,89,134,137,140,149,152,158,162,176,178,180,181,183,186,187,
202,204,206,213,216,219,220,221,223,339,383,394,414,416,421,432,448,456,488,
493,528,530,533,734],[1,2,4,6,7,8,13,15,17,18,19,20,27,33,34,35,36,38,39,41,
44,47,53,74,75,76,78,79,87,90,91,92,104,105,107,108,122,125,126,128,139,145,
168,169,177,179,191,286,289,294,297,321,356,375,376,422,437,463,735],[1,4,7,8,
16,29,30,36,47,54,93,102,103,134,182,183,212,348,486,513,736],[1,2,3,4,5,6,7,
8,14,19,22,23,29,30,33,36,39,40,43,48,50,52,54,88,89,98,99,106,118,124,138,
141,144,153,158,159,160,166,167,180,182,184,189,190,195,200,201,202,204,208,
218,220,222,290,342,372,378,379,380,419,425,458,459,508,541,549,552,553,737],[
1,2,3,5,6,7,15,21,24,25,26,27,31,32,38,39,41,45,46,49,51,52,75,77,83,111,123,
131,164,188,193,194,203,205,211,217,224,318,333,434,441,443,544,550,738],[1,2,
4,5,15,22,23,34,44,48,88,90,129,166,181,198,338,377,395,739],[1,2,3,4,5,6,7,8,
14,19,22,23,24,29,30,31,32,33,36,39,40,43,48,50,52,54,82,84,88,89,94,98,99,
106,124,151,152,153,155,158,167,181,182,189,190,192,195,200,201,202,204,206,
208,217,218,220,222,225,312,372,383,392,402,419,426,459,465,472,496,504,519,
532,541,740],[1,4,7,8,16,29,30,36,47,54,102,103,120,134,182,212,213,347,486,
513,741],[1,2,4,8,16,27,33,44,128,130,145,147,296,742],[1,3,4,7,16,23,29,30,
40,47,54,102,103,117,134,136,155,160,189,212,366,483,495,499,513,743],[1,2,4,
8,16,29,30,33,44,130,161,167,212,215,405,486,744],[1,2,4,8,15,17,23,29,30,33,
43,74,127,141,144,153,154,160,167,186,187,315,387,469,548,549,745],[1,2,4,6,7,
8,14,17,18,27,33,34,35,38,41,44,47,53,87,91,92,107,109,110,116,126,128,142,
145,147,177,191,321,326,332,345,353,418,452,746],[1,4,5,8,16,18,22,28,36,43,
48,73,95,180,181,220,221,283,323,339,747],[1,2,4,6,7,8,13,15,17,18,27,33,34,
35,36,38,39,41,44,47,53,74,76,79,90,91,92,116,123,125,126,128,139,156,177,179,
191,284,294,297,298,326,356,381,748],[1,3,4,6,7,13,14,16,21,25,26,37,40,43,49,
54,55,77,85,100,101,133,140,173,190,214,216,365,415,445,512,537,749],[1,3,4,7,
16,29,30,40,43,47,54,102,103,119,134,185,187,212,216,218,367,446,457,498,513,
750],[1,2,4,6,7,13,15,27,30,34,35,38,39,44,53,75,78,90,91,107,115,122,125,128,
131,147,161,282,314,375,381,398,418,557,751],[1,2,4,6,8,14,16,17,18,22,27,29,
33,34,36,44,53,73,79,92,96,107,129,142,147,177,201,215,301,345,369,390,403,
752],[1,2,4,7,8,16,17,18,22,30,33,34,35,36,38,44,54,73,79,89,92,96,122,129,
143,157,161,179,285,340,403,427,431,753],[1,3,4,6,7,13,14,16,25,26,37,40,43,
46,49,54,55,97,100,101,113,133,173,190,219,223,224,365,447,453,514,537,754],[
1,2,3,4,27,29,35,40,43,44,91,117,141,155,170,215,218,293,420,424,755],[1,2,4,
7,8,17,18,27,28,30,33,34,35,36,38,44,54,76,79,92,95,108,122,143,146,147,157,
161,179,183,191,213,404,427,431,460,501,511,526,756],[1,2,4,6,7,8,13,14,17,18,
19,20,25,27,33,34,35,37,38,39,41,44,47,53,55,81,91,92,100,104,105,107,109,110,
115,116,125,126,131,135,139,142,147,156,168,169,177,179,211,282,292,298,308,
345,406,437,452,477,515,518,757],[1,2,4,8,15,16,17,18,22,33,34,36,44,73,74,76,
79,90,92,96,129,130,200,356,393,395,403,481,758],[1,2,3,4,8,16,29,30,33,40,42,
43,44,45,130,141,154,155,161,162,167,170,171,176,185,186,187,196,212,215,216,
218,219,280,293,317,355,405,429,469,470,490,491,498,759],[1,3,4,5,6,7,8,13,14,
16,21,30,31,36,40,43,48,50,54,80,85,94,99,120,133,138,140,149,152,176,183,186,
190,192,202,204,207,216,220,221,313,346,432,456,474,476,512,519,534,760],[1,3,
4,5,7,8,16,29,30,32,36,40,43,47,48,50,54,80,94,120,134,137,141,151,182,185,
187,202,204,206,207,212,213,216,218,220,221,223,312,347,391,394,455,476,493,
498,540,761],[1,2,3,4,6,7,8,14,17,19,23,28,30,33,36,39,40,42,43,45,54,80,98,
99,118,124,127,137,138,144,146,153,154,159,162,176,178,183,184,186,187,189,
190,196,197,207,213,290,304,343,357,382,385,471,474,510,517,543,548,552,554,
762],[1,2,4,6,7,8,13,17,18,19,20,27,30,33,34,35,38,39,41,44,47,53,92,103,104,
105,109,112,116,125,126,128,139,143,161,168,169,191,281,314,326,331,335,427,
437,763],[1,2,4,6,7,8,13,14,15,17,19,20,25,26,27,33,35,37,38,39,41,53,54,55,
74,75,78,81,87,100,101,104,109,110,111,112,114,115,123,124,131,135,150,165,
168,177,179,209,211,354,401,406,407,422,442,443,464,503,505,515,764],[1,2,4,7,
8,15,17,20,27,29,30,33,38,47,74,75,102,103,127,145,167,169,191,315,463,506,
546,555,765],[1,2,3,4,5,7,8,20,29,30,33,38,40,47,48,50,52,102,103,117,151,152,
155,167,169,195,392,412,450,495,506,766],[1,2,3,4,5,8,27,29,30,33,40,48,50,52,
119,145,151,152,155,167,195,392,413,555,767],[1,2,4,5,22,23,34,35,44,48,88,
129,143,166,181,198,338,340,377,768],[1,2,3,4,22,23,27,34,40,43,44,82,129,147,
158,166,170,180,316,369,377,769],[1,2,3,4,5,7,8,17,20,21,28,29,30,32,33,36,40,
41,42,43,45,46,48,50,52,54,85,86,94,113,121,137,146,151,152,154,155,162,165,
167,176,178,182,183,188,195,196,197,199,204,206,207,210,213,218,220,303,312,
313,350,386,392,396,414,429,448,479,494,524,545,770],[1,2,3,4,8,27,29,30,33,
40,42,45,117,145,155,167,171,185,196,355,412,555,771],[1,2,3,4,5,8,16,17,18,
22,23,33,34,36,40,43,44,48,50,52,73,76,79,82,88,92,94,98,118,129,130,136,153,
158,166,170,180,181,195,198,200,220,221,316,320,324,328,338,339,419,481,496,
527,553,772],[1,3,4,6,7,8,13,14,16,18,21,22,24,29,30,36,40,42,43,54,73,80,82,
84,85,86,89,99,133,137,138,140,141,155,158,162,176,178,180,182,185,187,190,
197,201,212,216,218,219,303,327,334,379,410,465,490,498,510,512,516,530,531,
533,535,773],[1,2,4,6,7,8,13,17,27,35,36,38,39,41,44,47,53,76,91,109,112,115,
125,126,128,131,143,147,177,179,191,281,282,294,297,332,336,460,774],[1,2,3,4,
8,16,17,18,22,33,34,36,40,42,43,44,45,73,76,79,80,82,86,92,129,130,154,158,
170,180,196,197,200,207,216,219,316,325,329,352,371,470,481,497,531,533,775],[
1,2,4,6,7,8,13,14,16,17,18,19,22,29,30,33,34,36,38,39,44,53,54,73,76,79,89,92,
99,124,125,129,130,133,142,157,161,167,168,182,200,201,212,215,285,301,334,
372,400,405,417,461,481,776],[1,4,6,7,8,13,14,16,25,26,30,36,37,54,55,93,99,
100,101,133,149,213,388,525,537,777],[1,2,3,4,7,8,20,22,23,30,33,36,40,41,42,
43,45,54,89,118,127,137,140,144,153,154,158,159,162,165,166,176,178,180,183,
186,187,189,196,197,200,207,213,222,223,343,352,373,378,382,421,507,509,529,
530,548,553,554,556,778],[1,2,3,4,5,7,8,20,22,23,30,33,36,40,41,43,48,50,52,
54,80,88,89,98,127,137,140,144,153,154,158,159,162,165,176,178,180,183,186,
187,195,200,202,204,213,220,223,304,371,373,380,394,419,421,430,432,471,530,
545,548,556,779],[1,2,3,4,5,8,16,17,18,22,28,33,34,36,40,43,48,50,52,73,79,80,
82,93,94,95,96,120,146,154,180,181,195,197,200,207,216,219,220,221,288,329,
339,351,371,467,476,479,496,531,780],[1,2,4,7,8,16,20,29,30,33,38,41,44,47,54,
102,103,126,130,134,157,161,165,167,169,212,215,307,319,335,405,506,513,781],[
1,2,3,4,5,8,16,18,23,29,30,33,34,40,42,43,45,48,50,52,96,106,127,136,144,149,
152,153,154,162,167,171,176,185,186,187,189,195,196,202,212,216,218,219,221,
429,433,440,456,466,467,473,485,491,498,528,538,541,548,782],[1,3,4,6,7,13,14,
16,23,24,25,26,37,40,51,54,55,84,100,101,133,136,163,164,172,184,222,364,451,
521,537,539,783],[1,3,4,16,23,29,30,40,119,136,155,160,189,212,367,483,486,
784],[1,2,4,8,16,17,18,22,27,29,30,33,34,36,44,73,76,79,92,128,129,130,145,
147,161,167,200,212,215,296,390,405,481,511,785],[1,2,3,4,5,8,15,17,23,29,30,
33,40,42,43,45,48,50,52,74,106,121,127,153,154,162,167,176,189,195,196,202,
205,218,315,387,428,429,430,541,554,786],[1,2,4,5,6,7,13,14,23,25,31,37,38,39,
44,48,51,53,55,81,83,100,125,135,142,148,172,184,192,198,208,308,360,449,462,
539,787],[1,2,4,5,7,23,29,38,41,44,47,48,102,106,117,126,151,160,198,215,309,
319,424,450,499,788],[1,2,3,5,6,7,8,17,19,20,21,24,25,26,31,32,35,38,39,41,42,
45,46,49,50,51,52,77,83,104,111,112,114,121,132,164,179,188,193,194,203,210,
217,224,225,311,374,407,441,520,547,550,789],[1,2,3,4,5,8,15,17,29,30,33,40,
42,45,48,50,52,74,121,127,151,152,155,167,171,185,195,196,205,315,355,392,428,
433,790],[1,2,4,5,23,27,29,35,44,48,91,106,117,151,160,198,215,309,420,424,
791],[1,2,4,5,6,14,23,27,31,44,48,51,53,128,142,172,184,192,198,208,353,360,
462,792],[1,2,3,4,6,7,13,14,24,25,37,38,39,40,43,44,51,53,55,81,84,100,125,
135,138,142,163,164,170,172,190,308,363,451,462,500,793],[1,3,4,5,6,7,8,13,14,
16,23,24,30,32,36,40,42,43,48,50,54,80,84,86,93,94,98,99,118,133,136,137,138,
144,149,152,159,176,178,185,186,189,190,197,202,206,207,208,213,216,219,220,
221,351,382,388,389,402,410,425,438,448,456,471,473,474,516,540,794],[1,2,4,7,
8,16,17,18,22,27,30,33,34,36,38,44,54,73,79,89,92,96,108,129,147,157,161,191,
285,369,403,511,526,795],[1,2,3,4,6,14,24,27,40,43,44,51,53,84,128,138,142,
170,172,190,353,363,462,796],[1,2,3,4,6,7,13,25,26,37,38,39,40,43,44,46,49,53,
54,81,97,101,111,113,125,137,140,157,170,173,224,295,300,445,453,536,797],[1,
2,3,4,7,30,38,40,41,43,44,47,103,119,126,161,170,171,176,187,317,335,446,454,
542,798],[1,2,4,6,7,8,13,14,16,17,18,19,20,22,28,29,30,33,34,36,39,41,47,54,
73,79,89,93,95,96,99,105,120,124,127,133,134,139,146,149,165,167,182,183,200,
201,212,213,288,334,346,347,348,358,372,373,385,386,388,416,440,799],[1,3,4,7,
8,16,21,23,29,30,36,40,42,43,47,54,85,86,98,118,120,134,136,137,155,159,160,
171,182,186,189,197,212,213,218,219,222,303,347,382,439,475,483,491,492,508,
800],[1,2,4,6,7,8,13,14,19,25,26,33,37,38,39,43,49,53,54,55,81,100,101,111,
124,135,138,140,150,154,168,173,175,194,209,223,411,445,447,468,503,801],[1,2,
4,8,15,16,17,18,27,30,33,34,44,74,90,92,96,127,128,130,145,147,149,161,296,
310,393,398,511,802],[1,2,3,4,27,30,35,40,43,44,91,119,161,162,170,185,186,
280,542,557,803],[1,2,3,4,5,7,8,17,20,23,28,29,30,33,36,40,41,43,48,50,52,54,
80,106,118,137,140,141,146,153,154,159,165,167,178,182,183,186,187,189,195,
197,202,204,207,213,218,220,223,327,342,343,382,386,391,394,432,469,479,517,
541,545,556,804],[1,2,3,4,5,6,7,8,14,17,19,23,28,30,33,36,39,40,43,48,50,52,
54,80,99,118,124,127,138,140,144,146,153,154,162,176,183,186,187,190,195,197,
202,204,207,208,213,220,222,223,385,394,425,430,432,459,468,474,479,507,509,
510,517,548,805],[1,2,3,4,7,8,17,20,23,28,29,30,33,36,40,41,42,43,45,54,80,98,
118,137,140,141,144,146,153,154,159,160,162,165,167,176,178,182,183,196,197,
207,213,218,222,223,304,327,357,386,391,429,471,507,508,509,517,529,549,556,
806],[1,2,3,4,5,6,7,8,14,17,19,24,28,30,31,32,33,36,39,40,42,43,45,48,50,52,
54,84,86,94,99,121,124,127,137,146,152,154,162,171,176,178,183,185,190,192,
195,196,197,199,202,206,207,213,217,220,225,385,396,410,414,430,433,448,472,
479,482,487,519,540,543,807],[1,2,3,4,5,8,15,17,22,28,33,36,40,42,45,48,50,52,
74,82,86,94,121,146,181,195,196,199,200,205,396,428,480,496,497,808],[1,2,3,4,
5,6,7,8,14,17,19,21,23,24,28,30,33,36,39,40,42,43,45,46,48,50,52,54,84,85,86,
94,98,99,113,121,124,127,132,146,152,153,162,171,176,183,185,189,190,195,196,
197,199,203,204,207,208,213,222,313,357,368,385,396,402,410,433,435,459,487,
492,524,554,809],[1,2,4,7,22,27,30,34,35,38,41,44,47,54,89,91,103,108,112,122,
126,129,157,161,211,285,330,335,384,557,810],[1,2,4,6,7,8,13,14,16,19,25,26,
33,37,38,39,44,53,54,55,81,100,101,111,124,125,130,133,135,142,150,157,168,
209,295,308,400,503,537,811],[1,2,4,6,7,8,13,14,16,19,27,29,30,33,38,39,44,53,
54,124,125,128,130,133,142,145,147,157,161,167,168,212,215,291,296,314,400,
405,812],[1,3,4,5,6,7,8,13,14,16,18,22,23,29,30,31,32,36,40,43,48,50,54,73,88,
89,94,99,106,118,133,136,138,141,144,151,152,158,159,180,181,182,190,192,201,
202,204,206,208,212,218,220,221,312,328,334,339,342,379,380,383,425,438,455,
485,504,519,534,813],[1,2,4,8,16,17,18,22,33,34,36,43,44,73,76,79,80,92,129,
130,154,180,200,323,337,371,481,814],[1,2,4,6,7,8,13,14,16,19,27,33,38,39,44,
53,54,124,125,128,130,133,142,145,147,157,168,296,341,353,400,815],[1,2,4,8,
16,27,29,30,33,35,44,87,91,130,143,147,161,167,212,215,306,405,420,557,816],[
1,2,4,7,8,17,27,29,35,36,38,41,44,47,54,76,91,102,112,126,157,179,182,191,211,
215,294,319,330,420,461,817],[1,2,3,5,6,7,15,21,24,31,32,35,37,39,41,45,46,49,
51,52,53,55,78,97,109,114,123,135,148,163,188,193,194,203,205,214,217,311,333,
349,401,434,520,551,818],[1,2,3,4,6,7,8,14,19,22,29,30,33,36,39,40,42,43,45,
54,80,89,99,124,137,138,140,141,154,158,162,167,176,178,180,182,186,187,190,
196,197,200,201,207,218,223,327,352,371,372,379,391,421,429,468,469,474,510,
530,543,819],[1,2,3,4,7,22,30,34,38,40,43,44,46,54,82,89,113,129,137,140,157,
158,161,170,171,176,180,187,285,300,316,317,523,530,820],[1,2,3,4,6,7,8,13,14,
16,18,19,20,21,23,24,33,34,39,40,41,42,43,45,46,47,54,84,85,96,105,113,124,
132,133,134,136,137,138,139,153,159,165,178,184,196,203,216,219,222,358,435,
439,466,516,521,522,529,552,821],[1,2,4,7,8,16,20,27,30,33,38,41,44,47,54,126,
127,128,130,134,145,147,149,157,161,165,169,296,307,310,546,822],[1,3,4,16,29,
30,40,43,117,171,186,212,218,219,366,486,491,823],[1,2,4,6,8,14,17,30,36,44,
51,53,76,99,142,161,172,417,462,824],[1,3,4,6,7,13,14,16,23,24,30,40,49,54,84,
133,136,149,173,184,222,365,521,525,825],[1,2,4,6,7,8,13,14,16,17,19,28,30,33,
36,38,39,44,53,54,76,93,99,120,124,125,127,130,133,142,146,149,157,161,168,
183,213,310,346,361,385,388,400,417,501,826],[1,2,4,8,16,17,27,28,33,35,36,44,
76,87,91,93,120,128,130,143,145,146,147,296,306,361,460,502,827],[1,2,4,7,8,
16,17,20,28,29,30,33,36,38,41,44,47,54,76,93,120,126,130,134,146,157,161,165,
167,169,182,183,212,213,215,307,347,348,361,386,405,461,501,828],[1,3,4,8,16,
18,22,23,28,36,40,43,73,82,95,98,136,166,180,197,207,216,219,283,322,323,324,
329,531,829],[1,4,7,8,16,29,30,36,47,54,117,119,120,134,182,212,213,347,366,
367,830],[1,2,4,6,7,13,14,15,25,27,34,35,37,38,39,41,44,47,53,55,75,78,81,90,
91,100,107,109,110,112,114,115,122,123,125,126,135,139,142,143,156,281,284,
287,308,375,401,436,442,452,478,518,831],[1,2,4,6,7,13,15,27,29,34,35,38,39,
44,53,75,78,90,91,107,114,115,122,125,128,143,215,287,291,305,336,375,381,420,
832],[1,2,4,6,7,13,15,25,26,27,34,35,37,38,39,41,44,47,53,54,75,78,81,90,91,
101,107,110,111,112,115,116,122,123,125,126,131,139,147,157,211,282,284,292,
295,330,375,397,399,442,443,477,833],[1,2,4,8,15,17,22,23,28,33,36,43,74,80,
118,146,153,154,166,180,200,371,387,480,517,553,834],[1,3,4,5,7,8,16,21,23,29,
30,32,36,40,42,43,47,48,50,54,80,85,86,93,94,98,106,118,134,136,137,141,144,
152,155,159,162,176,182,183,197,204,206,207,212,216,218,219,220,221,222,223,
303,304,313,342,348,351,389,391,414,439,485,490,493,509,532,835],[1,2,4,6,7,
13,22,27,34,35,38,39,41,44,47,53,91,107,108,110,115,122,125,126,128,129,131,
147,211,282,292,332,369,384,418,423,836],[1,3,4,6,7,13,14,16,30,40,43,46,51,
54,113,133,149,172,190,219,223,364,514,525,837],[1,2,4,6,7,13,15,27,29,34,35,
38,39,41,44,47,53,75,90,102,108,109,112,123,125,126,128,139,143,215,281,284,
291,305,319,331,376,838],[1,2,4,6,7,8,13,17,18,19,20,25,26,27,33,34,35,37,38,
39,41,44,47,53,54,81,91,92,101,104,105,109,111,112,114,115,116,122,125,126,
139,143,156,157,168,169,177,179,211,281,287,295,298,330,399,406,407,431,437,
478,839],[1,2,4,6,7,8,13,17,18,27,30,33,34,35,38,39,44,53,87,91,92,114,115,
116,125,128,143,145,156,161,177,179,287,298,314,321,336,427,557,840],[1,2,3,4,
6,7,13,21,25,26,37,38,39,40,43,44,49,53,54,77,81,85,101,111,125,157,170,173,
178,214,223,295,299,415,447,536,841],[1,2,4,7,8,17,18,27,33,34,35,38,41,44,47,
54,87,91,92,112,116,122,126,128,143,145,157,179,191,211,321,326,330,331,336,
341,431,842],[1,2,4,7,8,15,16,17,18,20,27,33,34,38,41,44,47,54,74,75,90,92,96,
108,116,126,128,130,134,145,147,157,165,169,191,296,307,326,344,376,393,397,
463,526,843],[1,2,3,4,5,6,8,14,17,23,24,30,31,36,40,43,44,48,50,53,76,84,94,
98,99,118,138,142,144,152,161,170,184,189,190,192,198,202,208,220,290,320,360,
362,363,402,417,425,519,844],[1,2,4,6,7,13,14,22,25,27,29,34,37,38,39,44,53,
55,81,100,107,108,125,128,129,135,142,201,215,291,301,308,353,423,845],[1,2,4,
6,7,8,13,14,16,18,19,20,33,34,39,41,47,49,51,54,96,105,124,133,134,139,165,
172,173,174,175,193,194,358,370,411,484,846],[1,2,3,4,8,16,17,18,22,23,28,33,
34,36,40,42,43,45,73,79,82,86,93,95,96,98,118,120,136,146,153,166,180,196,197,
200,207,216,219,288,324,329,357,389,466,475,497,531,553,847],[1,2,4,7,22,23,
30,34,38,43,44,54,89,129,157,161,166,180,285,337,377,848],[1,2,3,4,8,16,18,23,
29,30,33,34,40,42,43,45,96,127,136,141,144,149,153,155,160,162,167,171,176,
185,189,196,212,216,219,355,440,466,473,483,490,538,549,554,849],[1,2,3,4,7,
29,38,40,41,43,44,47,102,117,126,141,155,170,215,218,293,319,424,444,495,
850],[1,2,3,4,6,7,8,14,19,21,24,27,33,35,39,40,42,45,46,51,54,84,85,87,113,
114,115,124,131,132,172,174,193,196,203,318,370,435,464,520,851],[1,2,4,6,7,8,
13,14,16,19,20,27,33,35,38,39,41,44,47,53,54,87,91,109,110,112,124,125,126,
130,133,134,142,143,147,157,165,168,169,211,281,292,306,307,330,400,452,505,
852],[1,2,4,6,7,8,14,15,17,19,20,33,39,41,49,51,54,74,104,123,124,165,172,173,
174,175,193,194,354,370,374,411,434,853],[1,2,4,6,7,8,13,17,27,35,36,38,39,41,
44,47,53,76,91,110,114,115,125,126,128,143,147,177,179,191,211,287,292,294,
297,331,418,460,854],[1,2,3,4,22,27,34,40,43,44,82,129,147,158,170,180,316,
337,369,855],[1,2,4,6,7,8,13,14,16,19,30,33,38,39,44,53,54,124,125,127,130,
133,142,149,157,161,168,310,400,525,856],[1,2,3,4,22,27,34,40,43,44,82,129,
147,158,170,180,316,337,369,857],[1,2,4,8,16,27,33,35,44,87,91,128,130,143,
145,147,296,306,336,418,858],[1,2,3,4,6,14,22,24,29,34,40,43,44,53,82,84,129,
138,141,142,155,158,170,180,190,201,215,218,293,301,316,363,379,465,859],[1,3,
4,6,7,13,14,16,21,30,40,43,51,54,85,133,140,149,172,190,216,364,512,525,860],[
1,2,4,8,16,27,29,30,33,35,44,87,91,127,130,143,147,149,161,167,212,215,306,
310,405,861],[1,2,4,8,16,18,29,30,33,34,96,117,119,127,149,167,212,412,413,
440,862],[1,2,4,8,16,27,30,33,35,44,87,91,127,128,130,143,145,147,149,161,296,
306,310,863],[1,3,4,7,16,29,30,40,43,47,54,102,103,119,134,171,186,212,218,
219,367,408,454,491,513,864],[1,2,4,7,8,17,29,36,38,44,49,54,76,157,173,182,
215,461,536,865],[1,2,4,6,7,8,14,15,17,19,20,23,33,39,41,43,54,74,104,123,124,
138,140,153,154,159,165,184,223,354,387,468,552,556,866],[1,4,5,7,16,29,30,43,
47,48,54,102,103,117,134,141,151,202,212,221,366,444,450,455,513,867],[1,2,3,
5,6,7,8,17,19,20,21,24,27,31,32,37,39,41,42,45,46,49,50,51,52,53,55,97,104,
110,121,131,132,135,148,163,177,188,193,194,203,210,214,217,225,318,349,374,
515,544,547,551,868],[1,4,7,8,16,29,30,36,47,54,93,117,119,134,182,183,212,
348,366,367,869],[1,2,3,4,5,6,7,8,14,15,17,19,20,21,24,31,32,33,39,40,41,42,
45,46,48,50,52,54,74,84,85,104,113,121,123,124,132,165,188,192,195,196,203,
205,206,210,217,225,333,350,354,428,435,472,547,870],[1,4,6,7,8,13,14,16,30,
36,49,51,54,99,120,133,149,172,173,183,346,364,365,871],[1,2,4,6,7,8,13,16,17,
18,19,20,22,27,33,34,35,36,38,39,41,44,47,53,73,79,87,91,92,96,104,105,107,
108,116,122,125,126,128,129,139,145,156,168,169,177,179,191,286,289,298,302,
321,326,344,384,403,423,437,872],[1,2,3,4,5,6,7,8,14,19,24,27,31,32,33,35,39,
40,48,49,50,52,54,84,87,114,115,124,131,173,175,192,194,195,206,217,225,311,
411,464,472,544,873],[1,2,4,6,14,22,23,29,34,44,53,129,142,166,201,215,301,
377,874],[1,2,4,8,16,29,30,33,44,119,130,161,167,212,215,367,405,413,542,
875],[1,2,3,4,5,6,7,8,13,14,19,24,25,26,31,32,33,37,38,39,40,48,50,51,52,53,
54,55,81,83,84,100,101,111,124,135,148,150,163,164,168,172,174,192,193,195,
206,209,217,225,349,370,449,451,472,489,503,550,876],[1,2,3,4,7,21,22,30,34,
38,40,43,44,54,82,85,89,129,157,158,161,162,170,178,180,185,186,223,280,285,
299,316,421,535,877],[1,2,4,6,7,8,13,14,19,23,25,26,33,37,38,39,43,51,53,54,
55,81,100,101,111,124,135,138,150,153,159,168,172,174,184,193,209,370,500,503,
539,552,878],[1,2,4,7,22,30,34,38,43,44,54,89,129,157,161,180,285,337,879],[1,
2,4,6,7,8,14,19,23,27,33,35,39,43,49,54,87,114,115,124,131,138,153,159,173,
175,184,194,411,464,552,880],[1,2,4,6,7,13,15,27,30,34,38,39,41,44,47,53,75,
90,103,108,110,123,125,126,128,139,147,161,211,284,292,314,332,335,376,398,
881],[1,2,3,4,7,30,38,40,41,43,44,47,103,119,126,161,162,170,185,186,280,335,
408,457,542,882],[1,2,4,6,7,8,14,19,27,33,35,39,43,51,54,87,114,115,124,131,
138,140,154,172,174,193,223,370,464,468,883],[1,2,4,7,8,20,29,30,33,38,43,47,
102,103,119,141,154,167,169,186,187,408,413,446,469,506,884],[1,2,4,6,7,8,13,
17,18,19,20,27,29,33,34,38,39,41,44,47,53,92,102,104,105,110,116,125,126,128,
139,147,168,169,191,211,215,291,292,319,326,332,390,437,885],[1,2,4,8,16,17,
18,22,23,28,33,34,36,43,73,79,80,93,95,96,118,120,146,153,154,166,180,200,288,
322,323,371,553,886],[1,2,4,7,8,16,20,27,33,35,38,41,44,47,54,87,91,126,128,
130,134,143,145,147,157,165,169,296,306,307,331,332,887],[1,2,4,8,16,29,30,33,
44,117,130,161,167,212,215,366,405,412,424,888],[1,2,4,8,27,29,30,33,43,117,
141,145,154,167,186,187,412,469,555,889],[1,2,4,8,15,16,17,18,27,29,30,33,34,
35,44,74,87,90,91,92,96,130,143,147,161,167,212,215,305,306,390,393,398,405,
427,890],[1,2,4,8,15,17,29,30,33,74,117,119,127,167,315,412,413,891],[1,2,4,6,
7,8,14,17,27,30,35,36,38,41,44,47,53,76,91,99,103,109,110,126,142,161,179,191,
294,335,417,452,557,892],[1,2,4,6,14,22,29,34,43,44,53,129,142,180,201,215,
301,337,893],[1,2,4,7,22,30,34,38,43,44,54,89,129,157,161,180,285,337,894],[1,
2,3,4,5,8,15,16,17,18,23,33,34,40,42,43,44,45,48,50,52,74,90,92,96,121,130,
136,153,154,170,195,196,198,205,216,219,221,387,393,428,466,467,470,527,895],[
1,3,4,16,29,30,40,43,117,185,187,212,216,218,366,486,498,896],[1,2,3,4,22,34,
35,40,43,44,82,129,143,158,170,180,316,337,340,897],[1,2,3,4,5,7,22,23,30,32,
34,38,40,43,44,48,54,82,88,89,129,144,152,157,158,159,161,166,170,180,181,189,
198,202,204,206,222,285,316,338,359,362,378,380,383,426,898],[1,2,4,6,8,14,17,
30,36,44,53,76,99,119,142,161,417,542,899],[1,4,5,16,29,30,43,48,119,141,151,
202,212,221,367,455,486,900],[1,3,4,5,7,8,16,23,29,30,32,36,40,42,43,46,47,48,
50,54,80,86,94,98,106,113,118,120,134,136,140,141,144,152,155,159,162,176,178,
182,197,204,206,207,212,213,216,218,219,220,221,222,327,342,347,448,471,475,
476,485,488,490,494,507,522,524,532,901],[1,4,5,6,7,13,14,16,25,26,31,37,43,
48,51,54,55,83,100,101,133,138,148,172,192,204,221,364,449,500,534,537,902],[
1,2,4,6,7,8,13,14,16,19,33,38,39,44,49,53,54,124,125,130,133,142,157,168,173,
175,194,365,400,411,536,903],[1,2,4,5,6,14,22,23,29,31,34,44,48,53,88,106,129,
142,151,160,166,181,184,192,198,201,208,215,301,309,338,360,458,504,904],[1,2,
3,4,7,21,27,38,40,43,44,49,54,85,128,157,170,173,178,223,299,341,536,905],[1,
4,5,6,7,13,14,16,30,31,43,48,49,54,133,138,149,173,192,204,221,365,525,534,
906],[1,2,4,6,7,8,13,14,16,19,33,38,39,44,51,53,54,124,125,130,133,142,157,
168,172,174,193,364,370,400,462,907],[1,2,4,7,8,17,29,36,38,44,54,76,117,157,
182,215,424,461,908],[1,2,4,7,8,20,23,29,30,33,38,43,47,102,103,117,141,144,
153,160,167,169,412,444,499,506,549,909],[1,2,4,6,7,8,13,14,17,25,27,30,36,37,
38,39,44,53,55,76,81,99,100,125,128,135,142,161,177,191,297,308,314,353,417,
910],[1,4,6,7,8,13,14,16,30,36,49,51,54,93,99,133,149,172,173,213,364,365,388,
911],[1,2,4,6,7,8,13,14,15,16,17,18,19,27,33,34,35,38,39,44,53,54,74,75,78,87,
90,91,92,96,107,116,122,124,125,130,133,142,143,147,156,157,168,177,179,298,
302,306,345,375,393,397,400,422,431,436,912],[1,2,4,5,22,23,27,34,43,44,48,88,
129,147,166,180,181,198,337,338,369,913],[1,2,4,6,7,8,13,17,25,26,27,29,36,37,
38,39,44,53,54,76,81,101,111,125,128,157,177,182,191,215,291,295,297,341,461,
914],[1,2,6,9,10,53,57,59,68,69,227,254,260,558,568,915],[1,2,6,7,9,10,39,57,
59,65,68,70,72,227,237,258,558,563,565,916],[1,6,9,10,51,68,72,227,565,917],[
1,2,3,5,9,10,52,57,59,60,61,62,67,227,274,276,558,559,566,918],[1,3,5,7,9,10,
32,60,61,62,65,67,70,227,265,268,559,563,566,919],[1,3,7,9,10,21,61,62,65,70,
227,267,563,566,920],[1,2,10,11,15,57,228,244,266,271,921],[1,2,9,10,15,57,59,
227,261,271,558,922],[1,2,9,10,35,57,59,227,238,259,558,923],[1,8,11,12,28,66,
226,240,251,256,924],[1,3,6,9,10,24,61,62,68,72,227,273,565,566,925],[1,5,6,9,
10,31,60,67,68,72,227,275,559,565,926],[1,7,9,10,49,65,70,227,563,927],[1,2,7,
9,10,41,57,59,65,70,227,234,249,558,563,928],[1,2,9,10,15,59,227,257,261,266,
929],[1,5,6,9,10,11,31,58,60,63,67,69,72,230,275,279,562,564,567,930],[1,2,9,
10,11,15,57,230,244,257,271,931],[1,4,9,10,11,22,64,230,255,264,272,932],[1,2,
3,9,10,45,57,59,61,62,227,245,278,558,566,933],[1,2,9,10,11,15,59,230,244,261,
266,934],[1,3,7,9,10,46,61,62,65,70,227,262,563,566,935],[1,6,7,9,10,37,65,68,
69,70,227,236,563,568,936],[1,6,9,10,55,68,69,72,227,235,565,568,937],[1,2,4,
7,10,15,27,34,38,41,44,47,57,70,75,90,108,126,128,249,266,376,584,602,938],[1,
2,4,6,7,9,13,35,38,39,41,44,47,53,59,64,65,68,109,112,125,126,143,233,234,237,
238,239,253,254,277,281,596,627,635,640,648,939],[1,4,8,11,16,18,22,28,36,73,
95,251,264,283,940],[1,2,3,5,6,7,10,15,21,24,31,32,39,41,45,46,52,57,60,61,62,
67,70,72,123,188,203,205,217,245,249,258,262,265,267,268,271,273,274,275,276,
278,333,578,600,621,630,631,636,652,941],[1,2,4,7,9,15,27,34,38,41,44,47,59,
65,75,90,108,126,128,234,257,376,604,615,942],[1,2,4,6,7,9,13,15,34,38,39,41,
44,47,53,59,64,65,68,90,123,125,126,139,233,234,237,239,252,253,254,261,277,
284,570,596,614,622,648,943],[1,4,5,6,7,9,13,14,25,31,37,48,51,55,63,64,65,68,
69,83,100,148,172,192,231,235,236,241,242,248,253,279,449,586,625,626,645,647,
944],[1,3,4,5,7,10,22,30,32,40,43,48,54,62,67,70,89,152,158,181,202,204,206,
265,272,383,616,617,650,945],[1,2,4,6,9,14,15,34,35,44,53,59,64,69,78,90,142,
143,156,238,242,252,260,261,277,436,575,609,614,623,627,946],[1,2,4,9,15,22,
34,44,59,90,129,257,261,395,604,947],[1,2,4,8,12,16,17,28,33,36,44,66,76,93,
120,130,146,246,256,361,590,603,632,948],[1,2,4,9,15,29,34,35,44,59,64,90,143,
215,232,238,252,261,277,305,611,614,627,949],[1,2,4,6,9,14,15,34,35,44,53,59,
68,78,90,142,143,156,254,257,436,604,634,950],[1,2,4,8,11,15,17,22,28,33,36,
74,146,200,244,251,264,480,951],[1,2,4,9,22,23,34,44,59,64,129,166,243,252,
255,277,377,576,620,952],[1,4,8,12,16,18,22,28,36,73,95,240,246,283,953],[1,2,
4,6,7,10,13,15,27,34,35,38,39,44,53,57,70,72,75,78,90,91,107,122,125,258,266,
375,584,597,602,954],[1,2,3,4,8,10,22,33,36,40,42,43,45,57,62,154,158,196,197,
200,207,245,272,352,572,616,955],[1,2,3,4,8,12,16,33,40,42,43,44,45,66,71,130,
154,170,196,216,219,246,247,470,581,591,632,956],[1,2,4,6,7,9,13,27,35,38,39,
44,53,59,64,65,68,91,114,115,125,143,237,238,239,250,253,254,259,277,287,596,
599,610,627,629,957],[1,2,4,6,7,9,13,14,25,37,38,39,44,53,55,59,64,65,68,69,
81,100,125,135,142,231,235,236,237,239,242,253,254,260,277,308,596,609,626,
643,646,958],[1,2,4,8,9,15,17,22,28,33,36,64,74,146,200,255,257,480,582,959],[
1,3,4,8,12,16,23,36,40,42,43,66,71,86,98,118,120,136,197,219,246,247,475,581,
585,603,960],[1,2,3,4,5,8,12,16,23,33,40,43,44,48,50,52,56,66,71,130,136,153,
170,195,198,221,246,270,527,574,585,632,961],[1,2,4,5,9,22,23,34,44,48,59,63,
64,88,129,166,181,198,243,248,252,255,277,338,569,576,587,605,620,962],[1,4,5,
6,10,14,22,23,29,31,48,60,67,72,88,106,151,181,192,201,208,272,275,504,617,
637,638,963],[1,2,4,8,10,15,17,22,28,33,36,57,74,146,200,271,272,480,572,
964],[1,3,4,5,8,12,16,36,40,43,48,50,56,66,71,80,93,94,197,219,220,221,246,
270,351,574,581,590,965],[1,2,4,7,9,15,27,34,38,44,54,59,65,75,90,116,147,157,
239,257,397,604,615,966],[1,2,4,6,7,8,9,13,15,17,19,27,33,35,38,53,64,65,68,
74,75,78,87,168,177,179,253,257,422,582,615,634,967],[1,2,6,7,9,15,35,37,39,
41,53,55,59,65,68,69,78,109,114,123,135,234,235,236,237,238,254,259,260,261,
401,570,610,613,623,628,635,646,968],[1,2,6,7,9,15,39,41,49,51,69,123,193,194,
241,257,434,651,969],[1,2,3,4,5,8,10,22,23,33,36,40,43,48,50,52,57,60,62,88,
98,153,158,195,200,220,272,276,419,572,616,637,970],[1,2,4,11,15,22,34,44,90,
129,244,264,395,971],[1,2,4,9,15,27,30,34,44,59,90,147,161,250,257,398,604,
972],[1,2,4,6,7,8,9,14,15,17,19,20,33,39,41,54,64,69,74,104,123,124,165,242,
257,354,582,651,973],[1,2,4,8,9,15,17,29,30,33,64,74,127,167,232,257,315,582,
974],[1,4,7,9,23,29,47,64,65,102,117,160,232,233,243,499,588,601,649,975],[1,
2,4,9,15,22,34,44,59,64,90,129,252,255,261,277,395,614,620,976],[1,2,6,7,9,15,
25,27,35,37,38,39,41,53,65,68,69,75,78,81,110,112,115,123,236,257,442,615,634,
651,977],[1,2,3,4,5,8,9,15,17,33,40,42,45,48,50,52,63,64,74,121,195,196,205,
248,257,428,571,582,978],[1,2,3,4,8,10,22,33,36,40,42,45,57,61,82,86,196,200,
272,278,497,572,607,979],[1,2,6,7,9,15,25,26,27,38,39,41,65,69,75,111,123,131,
211,231,257,443,615,651,980],[1,2,4,9,27,29,35,44,59,64,91,215,232,250,259,
277,420,611,629,981],[1,2,4,9,27,35,44,59,64,91,128,143,238,250,259,277,336,
627,629,642,982],[1,2,4,6,7,9,13,22,27,34,38,39,44,53,59,64,65,68,107,108,125,
128,129,237,239,250,252,253,254,255,277,423,579,592,596,620,642,983],[1,2,4,6,
7,9,13,15,27,34,35,38,39,44,53,59,65,68,75,78,90,91,107,122,125,237,257,375,
604,615,634,984],[1,4,6,7,9,13,14,23,25,37,51,55,64,65,68,69,100,172,184,231,
235,236,241,242,243,253,539,606,626,647,985],[1,2,4,9,15,27,34,35,44,59,64,90,
91,128,250,252,259,261,277,381,614,629,642,986],[1,2,6,7,9,15,35,37,39,41,53,
55,68,69,78,109,114,123,135,235,257,401,634,651,987],[1,3,4,8,12,16,23,36,40,
42,43,66,71,86,93,98,118,136,207,216,246,247,389,585,590,591,988],[1,2,4,7,8,
10,20,22,30,33,36,41,54,57,70,89,127,165,183,200,213,249,272,373,572,650,
989],[1,2,4,6,7,8,10,14,19,22,29,30,33,36,39,54,57,70,72,89,99,124,167,182,
200,201,258,272,372,572,638,650,990],[1,2,4,6,7,9,13,15,27,34,35,38,39,44,53,
59,64,65,68,75,78,90,91,107,122,125,237,239,250,252,253,254,259,261,277,375,
573,579,583,596,613,614,629,991],[1,2,4,9,15,27,34,35,44,59,90,91,128,238,257,
381,604,992],[1,2,6,7,9,15,25,27,35,37,38,39,41,53,59,65,68,69,75,78,81,110,
112,115,123,231,234,236,237,238,239,250,260,261,442,570,583,599,618,623,640,
643,993],[1,2,3,4,5,8,10,22,33,36,40,48,50,52,57,61,67,82,94,181,195,200,272,
274,496,572,607,617,994],[1,2,4,10,15,22,34,44,90,129,266,272,395,995],[1,2,4,
6,7,9,14,27,35,38,41,44,47,53,59,64,65,69,91,109,110,126,142,233,234,239,242,
250,259,260,277,452,609,618,628,629,648,996],[1,3,4,5,8,12,16,36,40,43,48,50,
56,66,71,80,94,120,207,216,220,221,246,270,476,574,591,603,997],[1,2,4,9,15,
29,34,35,44,59,90,143,215,257,259,305,604,998],[1,2,4,6,9,14,27,44,53,59,64,
69,128,142,242,250,260,277,353,609,642,999],[1,2,4,7,9,22,27,34,35,38,41,44,
47,59,64,65,91,108,122,126,129,233,234,239,250,252,255,259,277,384,573,592,
620,629,648,1000],[1,2,4,5,9,23,29,44,48,59,63,64,106,151,160,198,215,232,243,
248,277,309,580,588,598,605,611,1001],[1,2,4,10,15,22,34,44,57,90,129,266,271,
395,602,1002],[1,2,4,6,7,9,13,25,34,35,37,38,39,41,47,53,59,64,65,68,69,81,
109,112,114,122,139,156,231,233,234,236,237,238,239,252,253,259,260,478,573,
575,610,622,628,640,643,1003],[1,3,4,7,10,21,22,30,40,43,54,61,62,70,82,85,89,
158,162,178,185,267,272,535,607,616,650,1004],[1,2,4,8,9,15,17,23,33,43,64,74,
153,154,243,257,387,582,1005],[1,2,4,5,6,9,14,23,31,44,48,53,59,63,64,69,142,
184,192,198,208,242,243,248,260,277,279,360,586,595,605,606,609,1006],[1,2,4,
7,9,29,38,41,44,47,59,64,65,102,126,215,232,233,234,239,277,319,601,611,648,
1007],[1,2,4,9,22,34,35,44,59,64,129,143,238,252,255,277,340,620,627,1008],[1,
2,4,9,29,44,59,64,117,215,232,277,424,611,649,1009],[1,2,4,6,7,9,13,27,34,35,
37,39,41,47,53,55,59,64,65,68,69,107,109,110,115,135,139,156,233,234,235,236,
237,238,250,252,253,254,260,518,575,579,599,618,622,635,646,1010],[1,4,8,12,
16,18,22,28,36,66,73,95,240,256,283,619,1011],[1,2,4,7,9,15,27,34,38,41,44,47,
59,64,65,75,90,108,126,128,233,234,239,250,252,261,277,376,583,592,614,642,
648,1012],[1,2,4,8,9,15,17,18,33,34,36,44,59,64,74,76,79,90,92,252,257,356,
582,604,1013],[1,2,4,6,7,9,13,15,34,38,39,41,44,47,53,59,69,90,123,125,126,
139,257,260,284,604,651,1014],[1,2,4,6,9,14,22,29,34,44,53,59,64,69,129,142,
201,215,232,242,252,255,260,277,301,589,609,611,620,1015],[1,2,4,8,9,15,16,17,
18,33,34,44,59,64,74,90,92,96,130,257,277,393,582,604,1016],[1,3,5,6,7,8,12,
19,24,25,31,32,50,51,55,56,66,71,83,148,163,164,174,209,225,263,270,489,577,
639,644,1017],[1,4,5,7,9,29,47,48,63,64,65,102,117,151,232,233,248,450,580,
601,649,1018],[1,4,5,6,9,14,22,23,29,31,48,63,64,69,88,106,151,181,192,201,
208,232,242,243,248,255,279,504,569,580,586,587,589,595,598,1019],[1,3,6,7,8,
12,19,21,24,26,37,42,46,49,66,71,77,97,132,150,175,214,224,247,269,409,594,
633,641,1020],[1,4,12,16,29,30,212,246,486,1021],[1,2,4,7,9,27,35,38,41,44,47,
59,64,65,126,128,143,233,234,238,239,250,277,331,627,642,648,1022],[1,4,5,6,9,
14,22,23,29,48,63,64,69,88,106,160,166,184,201,208,232,242,243,248,255,458,
576,587,588,589,595,598,606,1023],[1,2,4,7,8,9,15,17,20,27,33,38,47,64,65,74,
75,145,169,191,233,257,463,582,615,1024],[1,3,4,5,7,10,22,23,30,32,40,48,54,
60,61,70,82,88,89,152,189,206,222,268,272,426,607,637,650,1025],[1,3,4,7,10,
22,30,40,43,46,54,61,62,70,82,89,113,137,158,171,176,262,272,523,607,616,650,
1026],[1,2,3,5,6,7,9,15,21,24,31,32,39,41,45,46,52,63,69,123,188,203,205,217,
257,279,333,571,651,1027],[1,2,4,6,9,14,44,51,53,59,64,69,142,172,241,242,260,
277,462,609,647,1028],[1,3,4,6,10,14,22,24,29,40,43,61,62,72,82,84,155,158,
190,201,218,272,273,465,607,616,638,1029],[1,4,6,7,12,13,14,16,25,26,37,54,55,
100,101,133,246,263,269,537,1030],[1,2,4,6,7,9,13,27,29,38,39,44,53,59,64,65,
68,125,128,215,232,237,239,250,253,254,277,291,596,611,642,1031],[1,5,10,11,
12,56,58,60,226,228,560,561,653,1032],[1,6,9,10,11,68,69,72,227,228,230,562,
565,568,654,1033],[1,5,9,10,11,58,60,63,67,227,228,230,559,561,564,567,654,
1034],[1,2,3,4,5,7,8,16,17,20,21,23,28,29,30,32,33,36,38,40,41,42,43,44,45,46,
47,48,50,52,54,76,80,85,86,93,94,98,106,113,118,120,121,126,130,134,136,137,
140,141,144,146,151,152,153,154,155,157,159,160,161,162,165,167,169,170,171,
176,178,182,183,185,186,187,188,189,195,196,197,198,199,202,204,206,207,210,
212,213,215,216,218,219,220,221,222,223,280,293,299,300,303,304,307,309,312,
313,317,320,325,327,342,343,347,348,350,351,355,357,359,361,362,368,382,386,
389,391,392,394,396,405,414,429,432,439,448,455,461,469,470,471,475,476,479,
482,483,485,488,490,491,492,493,494,498,501,507,508,509,517,522,524,527,529,
532,540,541,545,549,556,666,667,670,691,693,699,709,714,723,726,759,761,770,
800,804,806,828,835,901,1035],[1,2,4,5,6,8,14,16,17,18,22,23,27,29,31,33,34,
36,43,44,48,53,73,79,88,92,96,106,107,129,142,147,151,160,166,177,180,181,184,
192,198,201,208,215,220,221,301,309,322,337,338,339,345,360,369,390,403,458,
504,657,752,893,904,913,1036],[1,2,4,7,8,16,17,18,20,22,27,29,30,33,34,35,36,
38,41,44,47,54,73,76,79,87,89,91,92,102,103,108,122,126,127,128,129,130,134,
143,145,147,149,157,161,165,167,169,179,183,191,200,212,213,215,285,286,294,
296,306,307,310,319,331,332,335,373,384,390,405,416,431,481,501,506,511,513,
526,546,707,715,781,785,822,861,887,1037],[1,2,3,4,6,7,8,13,14,16,18,19,20,21,
23,24,25,26,27,33,34,35,37,38,39,40,41,42,43,45,46,47,49,51,53,54,55,77,81,84,
85,87,96,97,100,101,105,107,109,110,111,112,113,114,115,116,122,124,131,132,
133,134,135,136,137,138,139,150,153,156,159,165,168,172,173,174,175,178,184,
193,194,196,203,209,211,214,216,219,222,224,302,318,358,370,399,409,411,415,
435,439,441,453,464,466,477,478,484,500,503,505,516,518,520,521,522,529,539,
551,552,671,702,821,846,851,878,880,1038],[1,2,3,4,6,7,8,13,14,16,19,21,24,27,
33,38,39,40,42,43,44,45,46,49,53,54,84,85,113,124,125,128,130,132,133,137,138,
140,142,145,147,154,157,168,170,173,175,178,190,194,196,203,216,219,223,296,
299,300,341,353,363,365,400,411,435,468,470,512,514,516,536,543,659,718,815,
903,905,1039],[1,2,3,4,5,7,8,16,18,20,27,29,30,33,34,38,40,43,47,48,50,52,96,
102,103,108,116,117,119,127,141,145,149,151,152,154,155,162,167,169,176,186,
187,195,202,212,216,219,221,344,392,408,412,413,430,440,446,450,455,456,467,
469,490,495,506,528,546,555,658,694,766,767,862,884,889,1040],[1,2,4,6,7,8,13,
14,16,17,19,25,26,28,30,33,36,37,38,39,44,53,54,55,76,81,93,99,100,101,111,
120,124,125,127,130,133,135,142,146,149,150,157,161,168,183,209,213,295,308,
310,346,361,385,388,400,417,501,503,525,537,721,777,811,826,856,1041],[1,2,4,
6,7,14,22,27,29,34,35,38,41,43,44,47,51,53,91,102,108,109,110,122,126,129,142,
172,180,201,215,301,319,337,384,420,452,462,681,728,893,1042],[1,2,4,7,8,16,
17,18,22,30,33,34,35,36,38,44,49,54,73,79,89,92,96,119,122,129,143,157,161,
173,179,285,340,403,427,431,536,542,713,720,753,1043],[1,2,3,4,5,6,7,8,13,14,
15,16,17,18,19,20,21,23,24,31,32,33,34,38,39,40,41,42,43,44,45,46,47,48,50,52,
53,54,74,84,85,90,92,96,104,105,113,121,123,124,125,126,130,132,133,134,136,
137,138,139,140,142,153,154,157,159,165,168,169,170,178,184,188,190,192,195,
196,198,203,204,205,206,208,210,216,217,219,221,222,223,225,284,299,300,307,
333,350,354,358,359,360,363,387,393,400,428,435,437,438,439,459,466,467,468,
470,472,488,493,512,514,516,521,522,527,529,534,543,545,547,552,556,662,664,
666,679,697,706,718,821,866,870,895,1044],[1,2,3,4,5,6,7,8,13,14,16,17,19,21,
23,24,28,30,31,32,33,36,38,39,40,42,43,44,45,46,48,50,52,53,54,76,80,84,85,86,
93,94,98,99,113,118,120,121,124,125,127,130,132,133,136,137,138,140,142,144,
146,149,152,153,154,157,159,161,162,168,170,171,176,178,183,184,185,186,187,
189,190,192,195,196,197,198,199,202,203,204,206,207,208,213,216,217,219,220,
221,222,223,225,280,290,299,300,304,310,313,317,320,325,343,346,351,357,359,
360,361,362,363,368,382,385,388,389,394,396,400,402,410,414,417,425,430,432,
433,435,438,448,456,459,468,470,471,472,473,474,475,476,479,482,487,492,501,
507,509,510,512,514,516,517,519,521,524,527,528,534,538,540,543,548,552,554,
656,679,685,686,692,693,710,718,723,726,727,760,762,794,805,807,809,826,844,
1045],[1,2,3,4,5,6,7,8,13,14,16,18,19,20,24,25,26,27,31,32,33,34,35,37,38,39,
40,41,43,47,48,49,50,51,52,53,54,55,81,83,84,87,96,100,101,105,107,109,110,
111,112,114,115,116,122,124,131,133,134,135,137,138,139,140,148,150,154,156,
163,164,165,168,172,173,174,175,178,192,193,194,195,204,206,209,211,216,217,
219,221,223,225,302,311,349,358,370,399,411,445,447,449,451,464,467,468,472,
477,478,484,488,489,493,503,505,516,518,534,544,545,550,702,706,801,846,873,
876,883,1046],[1,2,4,8,15,16,17,18,22,28,33,34,36,44,73,74,76,79,90,92,93,95,
96,120,129,130,146,200,283,288,356,361,393,395,403,404,480,481,690,696,758,
1047],[1,2,4,6,7,8,13,14,15,17,19,20,23,25,26,27,33,35,37,38,39,41,43,49,51,
53,54,55,74,75,78,81,87,100,101,104,109,110,111,112,114,115,123,124,131,135,
138,140,150,153,154,159,165,168,172,173,174,175,177,179,184,193,194,209,211,
223,354,370,374,387,401,406,407,411,422,434,442,443,445,447,464,468,500,503,
505,515,539,552,556,764,801,853,866,878,880,883,1048],[1,2,3,4,7,8,16,18,20,
23,27,29,30,33,34,38,40,42,43,45,47,96,102,103,108,116,117,119,127,136,141,
144,145,149,153,155,160,162,167,169,171,176,185,189,196,212,216,219,344,355,
412,413,440,444,454,457,466,473,483,490,499,506,538,546,549,554,555,694,730,
732,771,849,862,909,1049],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,27,33,34,35,
36,38,39,41,44,47,53,54,73,74,75,76,78,79,87,90,91,92,96,104,105,107,108,116,
122,123,124,125,126,128,129,130,133,134,139,142,143,145,147,156,157,165,168,
169,177,179,191,200,284,286,289,294,296,297,298,302,306,307,321,326,344,345,
354,356,358,375,376,381,384,393,395,397,400,403,422,423,431,436,437,463,481,
526,663,664,704,707,717,735,748,758,843,872,912,1050],[1,2,4,6,7,8,13,14,16,
17,18,19,20,22,27,30,33,34,35,36,38,39,41,44,47,53,54,73,76,79,87,89,91,92,
107,108,109,110,112,124,125,126,127,128,129,130,133,134,142,143,145,147,149,
157,161,165,168,169,177,183,191,200,211,213,281,285,289,292,296,297,306,307,
310,330,345,373,400,416,423,427,452,481,501,505,511,525,526,546,680,704,715,
822,852,856,863,1051],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,20,21,22,23,24,28,29,
30,32,33,34,36,39,40,41,42,43,45,46,47,48,50,52,54,73,79,80,82,84,85,86,88,89,
93,94,95,96,98,99,105,106,113,118,120,121,124,127,132,133,134,136,137,138,139,
140,141,144,146,149,152,153,154,155,158,159,160,162,165,166,167,171,176,178,
180,182,183,184,185,186,187,188,189,190,195,196,197,199,200,201,202,203,204,
206,207,208,210,212,213,216,218,219,220,221,222,223,288,290,303,304,313,324,
327,328,329,334,342,343,346,347,348,350,351,352,355,357,358,368,372,373,378,
379,380,382,385,386,388,389,391,396,402,410,414,416,419,421,425,426,429,433,
435,438,439,440,448,456,458,459,465,466,467,471,473,474,475,476,482,483,485,
487,488,490,491,492,493,494,497,498,507,508,509,510,512,514,516,517,521,522,
523,524,528,529,530,531,532,533,535,538,540,541,543,548,549,552,553,554,556,
674,682,683,685,692,697,698,699,701,703,710,714,729,733,737,762,773,778,782,
794,799,800,806,809,821,835,847,849,901,1052],[1,2,4,7,8,15,16,17,18,20,22,27,
28,29,30,33,34,35,36,38,41,44,47,54,73,74,75,76,79,87,90,91,92,93,95,96,108,
116,120,122,126,128,129,130,134,143,145,146,147,157,161,165,167,169,179,182,
183,191,200,212,213,215,286,288,294,296,305,306,307,326,344,347,348,356,361,
376,384,386,390,393,397,398,404,405,427,431,460,461,463,480,481,501,502,511,
526,672,676,690,700,707,756,785,827,828,843,890,1053],[1,2,3,4,7,8,16,17,18,
22,23,27,30,33,34,36,38,40,43,44,46,54,73,79,82,89,92,96,98,108,113,129,136,
137,140,147,157,158,161,166,170,171,176,180,187,191,197,216,285,300,316,317,
322,323,324,337,369,377,403,511,523,526,530,531,661,712,769,795,820,848,855,
1054],[1,2,3,4,5,6,7,8,13,14,16,19,23,24,27,31,32,33,35,38,39,40,43,44,48,49,
50,52,53,54,84,87,91,114,115,124,125,130,131,133,136,138,142,143,147,153,157,
159,168,170,173,175,184,190,192,194,195,198,204,206,208,217,221,222,225,282,
287,306,311,359,360,363,365,400,411,438,459,464,472,521,527,534,536,544,552,
679,731,873,880,903,1055],[1,2,4,6,7,8,13,16,17,18,19,20,22,25,26,27,30,33,34,
35,36,37,38,39,41,44,47,53,54,73,79,81,87,89,91,92,96,101,103,104,105,107,108,
109,111,112,114,115,116,122,125,126,128,129,139,143,145,156,157,161,168,169,
177,179,191,211,281,285,286,287,289,295,298,302,314,321,326,330,331,335,336,
340,341,344,384,399,403,406,407,423,427,431,437,478,557,724,725,753,763,810,
839,840,842,872,1056],[1,2,4,7,8,16,17,18,20,22,27,30,33,34,35,36,38,41,44,47,
54,73,76,79,87,91,92,108,122,126,127,128,129,130,134,143,145,147,149,157,161,
165,169,179,191,200,286,294,296,306,307,310,331,332,336,369,384,418,427,431,
481,502,511,526,546,680,687,707,822,858,863,887,1057],[1,2,3,4,6,7,14,22,24,
27,29,34,35,38,40,41,43,44,47,53,82,84,91,102,108,109,110,117,122,126,129,138,
141,142,155,158,170,180,190,201,215,218,293,301,316,319,363,379,384,420,424,
444,452,465,495,716,728,755,850,859,1058],[1,2,3,4,6,7,8,13,14,16,17,18,19,21,
22,24,29,30,33,34,36,38,39,40,42,43,44,45,46,53,54,73,76,79,80,82,84,85,86,89,
92,99,113,124,125,129,130,132,133,137,138,140,141,142,154,155,157,158,161,162,
167,168,170,171,176,178,180,182,185,186,187,190,196,197,200,201,203,207,212,
215,216,218,219,223,280,285,293,299,300,301,303,316,317,325,327,329,334,352,
355,363,371,372,379,391,400,405,410,417,421,429,435,461,465,468,469,470,474,
481,487,490,491,494,497,498,510,512,514,516,523,530,531,533,535,543,670,674,
682,718,727,759,773,775,776,819,820,859,877,1059],[1,2,4,6,7,8,13,14,16,17,18,
19,22,27,29,30,33,34,36,38,39,44,53,54,73,76,79,92,107,108,124,125,128,129,
130,133,142,145,147,157,161,167,168,177,191,200,212,215,289,291,296,297,314,
341,345,353,369,390,400,405,423,481,502,511,526,555,687,704,711,742,785,812,
815,1060],[1,2,4,6,8,14,16,17,18,22,27,29,33,34,36,44,51,53,73,79,92,96,107,
117,129,142,147,172,177,201,215,301,345,369,390,403,424,462,681,716,752,
1061],[1,2,4,6,7,8,13,14,16,17,18,19,20,22,25,27,29,33,34,35,36,37,38,39,41,
44,47,53,55,73,79,81,87,91,92,96,100,102,104,105,107,108,109,110,115,116,122,
125,126,128,129,131,135,139,142,145,147,156,168,169,177,179,191,201,211,215,
282,286,289,291,292,298,301,302,308,319,321,326,332,344,345,353,369,384,390,
403,406,418,420,423,437,452,477,515,518,675,728,746,752,757,836,845,872,885,
1062],[1,2,3,4,6,7,8,13,17,21,25,26,27,29,36,37,38,39,40,42,43,44,46,49,53,54,
76,77,80,81,85,86,97,101,111,113,125,128,137,140,141,155,157,170,173,177,178,
182,191,197,207,214,215,218,223,224,291,293,295,297,299,300,303,325,327,341,
391,415,445,447,453,461,494,536,659,670,797,841,865,905,914,1063],[1,2,4,6,7,
13,14,22,25,27,29,34,37,38,39,43,44,53,55,81,100,107,108,117,125,128,129,135,
142,180,201,215,291,301,308,337,353,423,424,716,845,893,1064],[1,2,4,6,7,8,13,
14,15,16,17,18,19,20,27,30,33,34,38,39,41,44,47,53,54,74,90,92,96,104,105,123,
124,125,126,127,128,130,133,134,139,142,145,147,149,157,161,165,168,169,284,
296,307,310,341,353,354,358,393,398,400,437,511,525,546,664,802,815,822,856,
1065],[1,3,4,7,8,16,21,23,29,30,36,40,42,43,47,54,85,86,98,102,103,117,118,
119,120,134,136,137,155,159,160,171,182,186,189,197,212,213,218,219,222,303,
347,366,367,382,408,439,454,475,483,486,491,492,495,499,508,513,741,743,784,
800,823,830,864,1066],[1,2,4,8,15,16,17,18,22,27,29,30,33,34,35,36,44,73,74,
76,79,87,90,91,92,96,127,128,129,130,143,145,147,149,161,167,200,212,215,296,
305,306,310,315,321,356,381,390,393,395,398,403,405,427,440,481,511,663,680,
684,758,785,802,890,1067],[1,2,3,4,6,7,8,13,14,16,19,21,24,30,33,38,39,40,42,
43,44,45,46,51,53,54,84,85,113,124,125,127,130,132,133,137,138,140,142,149,
154,157,161,168,170,172,174,178,190,193,196,203,216,219,223,299,300,310,363,
364,370,400,435,462,468,470,512,514,516,525,543,718,837,856,860,907,1068],[1,
2,3,4,5,7,8,16,17,18,20,21,22,23,30,32,33,34,36,38,40,41,42,43,44,45,46,47,48,
50,52,54,73,76,79,80,82,85,86,88,89,92,94,98,113,118,126,127,129,130,134,136,
137,140,144,149,152,153,154,157,158,159,161,162,165,166,169,170,171,176,178,
180,181,183,185,186,187,188,189,195,196,197,198,200,202,204,206,207,210,213,
216,219,220,221,222,223,280,285,299,300,304,307,310,313,316,317,320,324,325,
328,329,338,339,343,350,352,359,362,368,371,373,378,380,382,383,394,414,416,
419,421,426,430,432,433,439,448,456,470,471,473,481,482,488,492,493,496,497,
501,507,509,522,523,524,527,528,529,530,531,533,535,538,540,545,548,553,554,
556,656,666,677,683,698,703,715,723,726,733,734,772,775,778,779,820,877,898,
1069],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,33,34,38,39,41,44,47,49,51,53,54,
74,90,92,96,104,105,123,124,125,126,130,133,134,139,142,157,165,168,169,172,
173,174,175,193,194,284,307,354,358,364,365,370,374,393,400,411,434,437,462,
484,536,664,846,853,903,907,1070],[1,2,4,6,7,8,13,14,15,16,17,18,19,27,29,30,
33,34,35,38,39,44,53,54,74,75,78,87,90,91,92,96,107,116,122,124,125,127,128,
130,133,142,143,145,147,149,156,157,161,167,168,177,179,212,215,291,296,298,
302,306,310,314,315,345,375,393,397,398,400,405,422,431,436,440,511,525,684,
802,812,856,861,863,912,1071],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,27,29,30,
33,34,35,38,39,41,44,47,53,54,74,75,87,90,91,92,96,102,103,104,105,108,109,
110,112,116,123,124,125,126,128,130,133,134,139,142,143,145,147,157,161,165,
167,168,169,191,211,212,215,281,284,291,292,296,305,306,307,314,319,326,330,
331,332,335,344,354,358,376,390,393,397,398,400,405,427,437,452,463,505,506,
513,526,664,763,781,812,838,843,852,881,885,887,890,1072],[1,2,4,8,16,17,18,
22,27,29,30,33,34,35,36,44,73,76,79,87,91,92,127,128,129,130,143,145,147,149,
161,167,200,212,215,296,306,310,336,340,369,390,405,418,420,427,460,481,511,
557,680,722,785,816,858,861,863,1073],[1,2,4,6,7,14,22,23,27,29,34,35,38,41,
44,47,51,53,91,102,108,109,110,122,126,129,142,166,172,201,215,301,319,377,
384,420,452,462,681,728,874,1074],[1,2,3,4,6,7,13,21,22,25,26,27,30,34,37,38,
39,40,43,44,49,53,54,77,81,82,85,89,101,107,108,111,125,128,129,157,158,161,
162,170,173,178,180,185,186,214,223,280,285,295,299,314,316,341,415,421,423,
447,535,536,720,724,841,877,905,1075],[1,2,3,4,7,22,27,30,34,35,38,40,41,43,
44,46,47,54,82,89,91,103,108,112,113,119,122,126,129,137,140,157,158,161,170,
171,176,180,187,211,285,300,316,317,330,335,384,446,454,523,530,542,557,660,
713,798,810,820,1076],[1,2,3,4,7,21,22,27,30,34,35,38,40,41,43,44,47,54,82,85,
89,91,103,108,112,119,122,126,129,157,158,161,162,170,178,180,185,186,211,223,
280,285,299,316,330,335,384,408,421,457,535,542,557,713,803,810,877,882,
1077],[1,2,3,4,5,6,7,8,13,14,16,19,23,24,25,26,31,32,33,37,38,39,40,43,44,48,
50,51,52,53,54,55,81,83,84,100,101,111,124,125,130,133,135,136,138,142,148,
150,153,157,159,163,164,168,170,172,174,184,190,192,193,195,198,204,206,208,
209,217,221,222,225,295,308,349,359,360,363,364,370,400,438,449,451,459,462,
472,489,500,503,521,527,534,537,539,550,552,679,783,787,793,811,876,878,902,
907,1078],[1,2,3,4,5,8,15,16,17,18,22,23,33,34,36,40,43,44,48,50,52,73,74,76,
79,82,88,90,92,94,96,98,118,129,130,136,153,158,166,170,180,181,195,198,200,
220,221,316,320,322,324,328,337,338,339,356,377,393,395,403,419,481,496,527,
553,657,661,673,708,739,758,772,1079],[1,2,3,4,8,15,16,17,18,22,33,34,36,40,
42,43,44,45,73,74,76,79,80,82,86,90,92,96,129,130,154,158,170,180,196,197,200,
207,216,219,316,323,325,329,337,352,356,371,393,395,403,470,481,497,531,533,
705,708,712,758,775,814,1080],[1,2,4,7,8,16,17,20,27,28,29,30,33,35,36,38,41,
44,47,54,76,87,91,93,120,126,128,130,134,143,145,146,147,157,161,165,167,169,
182,183,212,213,215,296,306,307,331,332,347,348,361,386,405,420,460,461,501,
502,555,557,711,816,827,828,887,1081],[1,2,4,7,8,16,17,18,20,22,27,28,30,33,
34,35,36,38,41,44,47,54,73,76,79,87,89,91,92,93,95,96,108,120,122,126,127,129,
130,134,143,146,147,149,157,161,165,169,179,183,191,200,213,283,285,286,288,
294,306,307,310,340,369,373,384,403,404,416,427,431,460,481,501,511,526,680,
696,707,715,722,753,756,795,1082],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,22,23,24,
29,30,31,32,33,34,36,38,39,40,43,44,48,50,52,53,54,73,76,79,82,84,88,89,92,94,
98,99,106,118,124,125,129,130,133,136,138,141,142,144,151,152,153,155,157,158,
159,160,161,166,167,168,170,180,181,182,184,189,190,192,195,198,200,201,202,
204,206,208,212,215,217,218,220,221,222,225,285,290,293,301,309,312,316,320,
324,328,334,338,339,342,359,360,362,363,372,378,379,380,383,392,400,402,405,
417,419,425,426,438,455,458,459,461,465,472,481,483,485,496,504,508,519,521,
527,532,534,541,549,552,553,667,679,709,729,737,740,772,776,813,844,859,898,
904,1083],[1,2,4,6,7,8,13,14,16,17,18,19,22,27,28,29,30,33,34,36,38,39,44,53,
54,73,76,79,89,92,93,95,96,99,107,108,120,124,125,128,129,130,133,142,145,146,
147,157,161,167,168,177,182,191,200,201,212,215,283,285,288,289,296,297,301,
334,345,369,372,390,400,403,404,405,417,423,461,481,502,511,526,672,687,696,
704,719,752,776,785,795,1084],[1,2,4,5,6,7,14,22,23,27,29,31,34,35,38,41,44,
47,48,53,88,91,102,106,108,109,110,117,122,126,129,142,151,160,166,181,184,
192,198,201,208,215,301,309,319,338,360,384,420,424,450,452,458,499,504,716,
728,788,791,904,1085],[1,2,4,7,8,15,16,17,18,20,27,30,33,34,35,38,41,44,47,54,
74,75,87,90,91,92,96,108,116,126,127,128,130,134,143,145,147,149,157,161,165,
169,191,296,306,307,310,321,326,331,332,344,376,381,393,397,398,463,511,526,
546,663,742,802,822,843,863,887,1086],[1,2,3,4,6,7,13,14,22,24,25,27,29,34,37,
38,39,40,43,44,51,53,55,81,82,84,100,107,108,125,128,129,135,138,141,142,155,
158,163,164,170,172,180,190,201,215,218,291,293,301,308,316,353,363,379,423,
451,462,465,500,681,793,796,845,859,1087],[1,2,3,4,5,8,15,16,17,18,22,23,28,
33,34,36,40,42,43,44,45,48,50,52,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,
118,120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,
200,205,207,216,219,220,221,288,316,320,324,325,328,329,338,339,351,352,356,
357,361,371,387,389,393,396,404,419,428,466,467,470,475,476,479,480,481,496,
497,517,527,531,533,553,688,690,693,701,772,775,780,808,834,847,895,1088],[1,
2,4,6,7,8,13,14,15,16,17,18,19,22,27,28,30,33,34,35,36,38,39,44,53,54,73,74,
75,76,78,79,87,90,91,92,93,95,96,99,107,108,116,120,122,124,125,127,128,129,
130,133,142,143,145,146,147,149,156,157,161,168,177,179,183,191,200,213,288,
289,296,297,298,302,306,310,345,346,356,361,375,385,388,393,397,398,400,404,
417,422,423,427,431,436,460,480,481,501,502,511,526,669,676,680,690,704,719,
756,802,826,827,912,1089],[1,2,3,4,7,8,16,17,18,21,22,23,27,30,33,34,36,38,40,
43,44,54,73,79,82,85,89,92,96,98,108,129,136,147,157,158,161,162,166,170,178,
180,185,186,191,207,219,223,280,285,299,316,322,323,324,329,337,369,377,403,
421,511,526,535,661,705,769,795,848,857,877,1090],[1,2,4,6,14,15,22,29,34,35,
44,51,53,78,90,117,129,142,143,156,172,201,215,301,305,340,395,424,436,462,
678,681,716,1091],[1,2,4,7,15,22,27,30,34,38,44,49,54,75,89,90,116,119,129,
147,157,161,173,285,369,395,397,398,536,542,695,713,720,1092],[1,2,4,8,15,16,
17,18,27,29,30,33,34,35,44,74,87,90,91,92,96,127,130,143,147,149,161,167,212,
215,305,306,310,315,390,393,398,405,420,427,440,486,557,684,744,816,861,890,
1093],[1,2,4,6,7,8,13,14,16,17,19,20,27,28,29,30,33,35,36,38,39,41,44,47,53,
54,76,87,91,93,99,109,110,112,120,124,125,126,127,128,130,133,134,142,143,145,
146,147,149,157,161,165,167,168,169,182,183,211,212,213,215,281,291,292,296,
306,307,310,314,330,346,347,348,361,385,386,388,400,405,417,452,460,461,501,
502,505,546,812,822,826,827,828,852,861,1094],[1,2,4,6,7,8,13,14,16,17,19,27,
28,30,33,35,36,38,39,44,53,54,76,87,91,93,99,114,115,120,124,125,127,128,130,
131,133,142,143,145,146,147,149,157,161,168,183,213,282,287,296,306,310,341,
346,353,361,385,388,400,417,460,464,501,502,731,815,826,827,863,1095],[1,2,4,
6,7,8,13,15,17,18,19,20,25,26,27,29,33,34,35,36,37,38,39,41,44,47,53,54,74,75,
76,78,79,81,87,90,91,92,101,102,104,105,107,108,109,110,111,112,114,115,116,
122,123,125,126,128,131,139,143,145,147,156,157,168,169,177,179,182,191,211,
215,281,282,284,286,287,289,291,292,294,295,297,298,305,319,321,326,330,331,
332,336,341,356,375,376,381,390,397,399,406,407,418,420,422,431,437,442,443,
460,461,463,477,478,668,675,700,735,748,774,817,832,833,838,839,842,854,885,
914,1096],[1,2,4,6,7,8,13,14,16,17,18,19,22,25,26,27,29,30,33,34,36,37,38,39,
44,53,54,55,73,76,79,81,89,92,99,100,101,107,108,111,124,125,128,129,130,133,
135,142,145,147,150,157,161,167,168,177,182,191,200,201,209,212,215,285,289,
291,295,296,297,301,308,314,334,341,345,353,372,400,405,417,423,461,481,503,
526,537,704,724,776,811,812,815,845,910,914,1097],[1,2,4,6,7,8,13,14,16,17,18,
19,22,27,29,30,33,34,35,36,38,39,44,53,54,73,76,79,87,89,91,92,99,114,115,124,
125,127,129,130,131,133,142,143,147,149,157,161,167,168,182,200,201,212,215,
282,285,287,301,306,310,334,372,400,405,417,427,461,464,481,511,525,680,731,
776,856,861,1098],[1,2,3,4,5,8,16,17,18,22,23,27,33,34,36,40,43,44,48,50,52,
73,76,79,80,82,88,92,94,98,118,128,129,130,136,145,147,153,154,158,166,170,
180,181,195,198,200,220,221,296,316,320,323,324,328,337,338,339,369,371,419,
481,496,502,527,553,687,772,814,855,857,913,1099],[1,2,4,6,7,8,13,14,16,17,18,
19,20,22,27,33,34,35,36,38,39,41,44,47,53,54,73,76,79,87,91,92,107,108,109,
110,112,114,115,122,124,125,126,128,129,130,131,133,134,142,143,145,147,157,
165,168,169,177,179,191,200,211,281,282,286,287,289,292,294,296,297,306,307,
330,331,332,336,340,345,369,384,400,418,423,431,452,460,464,481,505,526,704,
707,722,725,731,774,836,852,854,858,887,1100],[1,2,4,6,7,13,14,22,23,25,27,29,
34,37,38,39,44,53,55,81,100,107,108,117,125,128,129,135,142,166,201,215,291,
301,308,353,377,423,424,716,845,874,1101],[1,2,3,4,8,16,29,30,33,40,42,43,44,
45,117,130,141,154,155,161,162,167,170,171,176,185,186,187,196,212,215,216,
218,219,280,293,317,355,366,405,412,424,429,469,470,486,490,491,498,744,759,
823,888,896,1102],[1,2,3,4,6,7,13,22,25,26,27,30,34,37,38,39,40,43,44,46,49,
53,54,81,82,89,97,101,107,108,111,113,125,128,129,137,140,157,158,161,170,171,
173,176,180,187,224,285,295,300,314,316,317,341,423,445,453,523,530,536,659,
720,724,797,820,1103],[1,2,3,4,5,7,8,16,17,18,22,23,30,32,33,34,35,36,38,40,
43,44,48,54,73,79,82,88,89,92,96,98,122,129,136,143,144,152,157,158,159,161,
166,170,179,180,181,189,198,202,204,206,220,221,222,285,316,322,324,337,338,
339,340,359,362,377,378,380,383,403,426,427,431,657,661,753,768,848,897,898,
1104],[1,3,4,5,6,7,8,13,14,16,25,26,30,31,36,37,40,43,46,48,49,50,51,54,55,80,
83,93,94,97,99,100,101,113,133,138,148,149,152,162,172,173,187,190,192,197,
202,204,213,219,220,221,223,224,351,364,365,388,394,447,449,453,500,510,514,
519,524,525,528,534,537,686,754,777,837,902,906,911,1105],[1,2,3,4,5,7,8,16,
17,18,22,23,27,30,32,33,34,36,38,40,43,44,48,54,73,79,82,88,89,92,96,108,129,
144,147,152,157,158,159,161,166,170,180,181,189,191,197,198,202,204,206,216,
220,221,222,285,316,322,323,337,338,339,359,362,369,378,380,383,403,426,511,
526,531,657,712,795,857,879,898,913,1106],[1,3,4,5,7,8,16,29,30,32,36,40,43,
47,48,50,54,80,94,102,103,117,119,120,134,137,141,151,182,185,187,202,204,206,
207,212,213,216,218,220,221,223,312,347,366,367,391,394,444,446,450,455,457,
476,486,493,498,513,540,741,750,761,830,867,896,900,1107],[1,2,4,6,7,8,13,14,
15,16,17,18,19,20,25,26,27,33,34,35,37,38,39,41,44,47,53,54,55,74,75,78,81,87,
90,91,92,96,100,101,104,105,107,109,110,111,112,114,115,116,122,123,124,125,
126,130,131,133,134,135,139,142,143,147,150,156,157,165,168,169,177,179,209,
211,281,282,284,287,292,295,298,302,306,307,308,330,345,354,358,375,393,397,
399,400,401,406,407,422,431,436,437,442,443,452,464,477,478,503,505,515,518,
537,664,702,731,757,764,811,831,833,839,852,912,1108],[1,2,4,6,7,13,15,22,25,
26,27,30,34,35,37,38,39,41,44,47,53,54,75,78,81,89,90,91,101,103,107,108,110,
111,112,115,116,122,123,125,126,128,129,131,139,147,157,161,211,282,284,285,
292,295,314,330,332,335,341,369,375,376,381,384,395,397,398,399,418,423,442,
443,477,557,668,695,717,724,751,810,833,836,881,1109],[1,2,4,6,7,8,13,14,16,
17,18,19,22,29,30,33,34,36,38,39,43,44,53,54,73,76,79,80,89,92,99,124,125,129,
130,133,142,154,157,161,167,168,180,182,200,201,212,215,285,301,323,334,337,
371,372,400,405,417,461,481,776,814,879,893,894,1110],[1,2,4,5,6,7,13,14,22,
23,25,27,29,31,34,37,38,39,44,48,51,53,55,81,83,88,100,106,107,108,125,128,
129,135,142,148,151,160,166,172,181,184,192,198,201,208,215,291,301,308,309,
338,353,360,423,449,458,462,504,539,681,787,792,845,904,1111],[1,2,4,6,7,8,13,
14,16,17,18,19,22,29,30,33,34,36,38,39,44,53,54,73,76,79,89,92,99,119,124,125,
129,130,133,142,157,161,167,168,182,200,201,212,215,285,301,334,367,372,400,
405,413,417,461,481,542,713,776,875,899,1112],[1,2,4,8,15,16,17,18,22,27,28,
33,34,35,36,44,73,74,76,79,87,90,91,92,93,95,96,120,128,129,130,143,145,146,
147,200,288,296,306,321,340,356,361,369,381,393,404,460,480,481,502,663,687,
690,722,827,1113],[1,2,4,8,15,16,17,18,29,30,33,34,44,74,90,92,96,117,119,127,
130,149,161,167,212,215,310,315,366,367,393,405,412,413,424,440,542,684,862,
875,888,891,1114],[1,3,4,7,8,16,23,29,30,36,40,42,43,46,47,54,86,93,98,102,
103,113,117,118,119,134,136,155,159,160,178,182,183,185,187,189,207,212,216,
218,222,343,348,366,367,368,389,446,457,483,486,494,495,498,499,508,513,522,
714,736,743,750,784,869,896,1115],[1,2,4,8,15,16,17,18,22,23,28,33,34,36,43,
44,73,74,76,79,80,90,92,93,95,96,118,120,129,130,146,153,154,166,180,200,288,
322,323,337,356,361,371,377,387,393,404,480,481,517,553,673,690,814,834,886,
1116],[1,2,4,7,8,15,16,17,18,20,27,29,30,33,34,38,41,44,47,54,74,75,90,92,96,
102,103,108,116,126,127,128,130,134,145,147,149,157,161,165,167,169,191,212,
215,296,307,310,315,319,326,335,344,376,393,397,405,440,463,506,513,526,546,
555,684,694,711,765,781,822,843,1117],[1,2,3,4,7,8,16,20,29,30,33,38,40,41,42,
43,44,45,47,54,102,103,119,126,130,134,141,154,155,157,161,162,165,167,169,
170,171,176,185,186,187,196,212,215,216,218,219,280,293,307,317,319,335,355,
367,405,408,413,429,446,454,457,469,470,490,491,498,506,513,542,730,750,759,
781,798,864,875,882,884,1118],[1,2,4,8,15,16,17,18,27,29,30,33,34,35,44,74,87,
90,91,92,96,127,128,130,143,145,147,149,161,167,212,215,296,305,306,310,321,
336,381,390,393,398,405,418,427,511,555,663,711,802,858,861,863,890,1119],[1,
2,3,4,5,7,8,16,17,18,22,23,27,30,32,33,34,36,38,40,43,44,48,54,73,79,82,88,89,
92,96,108,129,144,147,152,157,158,159,161,166,170,180,181,189,191,198,202,204,
206,207,219,220,221,222,285,316,322,323,329,337,338,339,359,362,369,378,380,
383,403,426,511,526,657,705,795,855,894,898,913,1120],[1,2,4,6,8,14,17,18,27,
28,30,33,34,36,44,51,53,76,79,92,95,99,107,119,142,146,147,161,172,177,345,
404,417,462,502,511,542,719,824,899,1121],[1,2,4,6,7,8,13,14,16,17,19,28,30,
33,36,38,39,44,49,51,53,54,76,93,99,120,124,125,127,130,133,142,146,149,157,
161,168,172,173,174,175,183,193,194,213,310,346,361,364,365,370,385,388,400,
411,417,462,501,536,826,871,903,907,911,1122],[1,2,4,6,7,8,13,14,15,17,18,19,
20,25,27,30,33,34,35,36,37,38,39,41,44,47,53,55,74,75,76,78,79,81,87,90,91,92,
99,100,103,104,105,107,108,109,110,112,114,115,116,122,123,125,126,128,131,
135,139,142,143,145,147,156,161,168,169,177,179,191,211,281,282,284,286,287,
289,292,294,297,298,308,314,321,326,331,332,335,336,345,353,356,375,376,381,
398,401,406,417,418,422,427,436,437,442,452,460,463,477,478,515,518,557,669,
689,735,746,748,751,757,763,774,831,840,854,881,892,910,1123],[1,2,4,7,8,16,
17,20,28,29,30,33,36,38,41,44,47,54,76,93,117,119,120,126,130,134,146,157,161,
165,167,169,182,183,212,213,215,307,347,348,361,366,367,386,405,412,413,424,
461,501,542,828,830,869,875,888,1124],[1,2,4,6,7,8,13,14,15,16,17,18,19,27,29,
30,33,34,35,38,39,44,53,54,74,75,78,87,90,91,92,96,107,114,115,116,122,124,
125,128,130,131,133,142,143,145,147,156,157,161,167,168,177,179,212,215,282,
287,291,296,298,302,305,306,314,321,336,345,375,381,390,393,397,398,400,405,
418,420,422,427,431,436,464,557,663,675,731,751,812,816,832,840,858,890,912,
1125],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,27,33,34,35,38,39,41,44,47,53,54,
74,75,78,87,90,91,92,96,107,108,109,110,112,116,122,124,125,126,128,130,133,
134,142,143,145,147,156,157,165,168,169,177,179,191,211,281,292,296,298,302,
306,307,321,326,330,331,332,336,341,344,345,353,375,376,381,393,397,400,418,
422,431,436,452,463,505,526,663,668,689,746,815,842,843,852,858,887,912,
1126],[1,2,4,6,7,8,13,14,16,17,18,19,22,27,29,30,33,34,36,38,39,44,53,54,73,
76,79,89,92,99,124,125,128,129,130,133,142,145,147,157,161,167,168,182,200,
201,212,215,285,291,296,301,314,334,372,390,400,405,417,461,481,486,511,555,
711,744,776,785,812,1127],[1,2,4,6,7,8,13,14,16,17,18,19,22,29,30,33,34,36,38,
39,44,49,53,54,73,76,79,89,92,99,124,125,129,130,133,142,157,161,167,168,173,
175,182,194,200,201,212,215,285,301,334,365,372,400,405,411,417,461,481,536,
720,776,865,903,1128],[1,2,3,4,8,16,27,29,30,33,35,40,42,43,44,45,87,91,119,
130,141,143,147,154,155,161,162,167,170,171,176,185,186,187,196,212,215,216,
218,219,280,293,306,317,355,367,405,413,420,429,469,470,490,491,498,542,557,
660,759,803,816,875,1129],[1,2,3,4,6,7,8,14,17,24,27,30,35,36,38,40,41,42,43,
44,47,53,76,80,84,86,91,99,103,109,110,119,126,138,142,161,162,170,171,176,
179,185,186,187,190,191,197,207,280,294,317,325,335,363,408,410,417,446,452,
454,457,474,487,510,542,557,660,727,798,803,882,892,899,1130],[1,2,3,4,5,8,15,
16,17,18,23,29,30,33,34,40,42,43,44,45,48,50,52,74,90,92,96,106,121,127,130,
136,141,144,149,151,152,153,154,155,160,161,162,167,170,171,176,185,186,187,
189,195,196,198,202,205,212,215,216,218,219,221,280,293,309,310,315,317,355,
362,387,392,393,405,428,429,430,433,440,455,456,466,467,469,470,473,483,485,
490,491,498,527,528,538,541,548,549,554,656,658,667,684,745,759,782,786,790,
849,895,1131],[1,2,3,4,5,6,7,8,13,14,16,19,23,24,30,31,32,33,38,39,40,43,44,
48,49,50,52,53,54,84,124,125,127,130,133,136,138,142,149,153,157,159,161,168,
170,173,175,184,190,192,194,195,198,204,206,208,217,221,222,225,310,359,360,
363,365,400,411,438,459,472,521,525,527,534,536,552,679,825,856,903,906,
1132],[1,3,4,5,7,8,16,29,30,32,36,40,43,47,48,50,54,80,93,94,102,103,117,119,
134,140,141,151,171,178,182,183,186,197,202,204,206,212,218,219,220,221,312,
327,348,351,366,367,408,432,444,450,454,455,482,486,488,491,513,691,736,823,
864,867,869,900,1133],[1,2,3,4,6,8,14,16,17,18,22,24,27,29,33,34,36,40,43,44,
53,73,79,82,84,92,96,107,129,138,141,142,147,155,158,170,177,180,190,197,201,
207,215,216,218,219,293,301,316,323,329,337,345,363,369,379,390,403,465,531,
705,712,752,855,857,859,893,1134],[1,2,3,4,7,15,22,27,30,34,38,40,43,44,46,54,
75,82,89,90,113,116,129,137,140,147,157,158,161,170,171,176,180,187,285,300,
316,317,337,369,395,397,398,523,530,695,708,820,857,894,1135],[1,2,3,4,8,16,
17,18,22,23,28,33,34,36,40,42,43,44,45,73,76,79,80,82,86,92,93,95,96,98,118,
120,129,130,136,146,153,154,158,166,170,180,196,197,200,207,216,219,283,288,
316,322,323,324,325,329,337,352,357,371,377,389,403,404,466,470,475,481,497,
531,533,553,661,673,696,705,712,775,829,847,886,1136],[1,2,4,8,16,17,27,28,33,
35,36,44,76,87,91,93,120,128,130,143,145,146,147,296,306,336,361,418,460,502,
742,827,858,1137],[1,2,4,6,7,8,13,14,16,17,18,19,20,22,27,29,30,33,34,35,36,
38,39,41,44,47,53,54,73,76,79,87,89,91,92,99,102,103,108,109,110,112,122,124,
125,126,129,130,133,134,142,143,147,157,161,165,167,168,169,179,182,191,200,
201,211,212,215,281,285,286,292,294,301,306,307,319,330,334,335,372,384,400,
405,417,420,431,452,461,481,505,506,513,526,557,707,728,776,781,810,816,817,
852,892,1138],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,28,29,30,33,34,36,38,39,
41,44,47,53,54,73,74,76,79,89,90,92,93,95,96,99,104,105,120,123,124,125,126,
127,129,130,133,134,139,142,146,149,157,161,165,167,168,169,182,183,200,201,
212,213,215,284,285,288,301,307,310,315,334,346,347,348,354,356,358,361,372,
373,385,386,388,393,400,404,405,416,417,437,440,461,480,481,501,664,665,684,
690,715,776,799,826,828,1139],[1,2,4,6,7,8,13,14,16,17,18,19,22,23,29,30,33,
34,36,38,39,43,44,53,54,73,76,79,89,92,99,118,124,125,129,130,133,142,153,157,
161,166,167,168,180,182,200,201,212,215,285,301,322,334,337,372,377,400,405,
417,461,481,553,673,776,848,874,893,1140],[1,2,3,4,5,6,7,8,14,15,17,19,20,21,
22,23,24,28,29,30,31,32,33,36,39,40,41,42,43,45,46,48,50,52,54,74,82,84,85,86,
88,89,94,98,99,104,106,113,121,123,124,127,132,137,146,151,152,153,154,155,
158,162,165,167,171,176,178,181,182,183,185,188,189,190,192,195,196,197,199,
200,201,202,203,204,205,206,207,208,210,213,217,218,220,222,225,303,312,313,
315,333,350,352,354,355,357,368,372,373,383,385,386,387,392,396,402,410,414,
419,426,428,429,430,433,435,448,459,465,472,479,480,482,487,492,494,496,497,
504,519,523,524,529,532,535,540,541,543,545,547,554,662,665,677,682,683,688,
699,740,770,786,790,807,808,809,870,1141],[1,2,3,4,6,8,14,16,17,18,22,23,24,
27,29,33,34,36,40,43,44,53,73,79,82,84,92,96,98,107,129,136,138,141,142,147,
155,158,166,170,177,180,190,201,215,218,293,301,316,322,324,345,363,369,377,
379,390,403,465,661,752,769,859,874,1142],[1,3,4,6,7,8,13,14,16,23,24,25,26,
30,36,37,40,42,43,46,49,51,54,55,84,86,97,98,99,100,101,113,118,120,133,136,
144,149,163,164,172,173,176,183,184,185,189,190,197,219,222,223,224,290,346,
364,365,368,410,447,451,453,473,475,509,514,521,525,537,539,692,721,754,783,
825,837,871,1143],[1,2,4,7,22,27,30,34,35,38,41,43,44,47,49,54,89,91,103,108,
112,122,126,129,157,161,173,180,211,285,330,335,337,384,536,557,720,810,879,
1144],[1,2,4,6,7,13,14,15,22,25,27,29,34,35,37,38,39,41,44,47,53,55,75,78,81,
90,91,100,102,107,108,109,110,112,114,115,122,123,125,126,128,129,135,139,142,
143,156,201,215,281,284,287,291,301,305,308,319,331,336,340,353,375,376,381,
384,395,401,420,423,436,442,452,478,518,678,689,717,725,728,831,832,838,845,
1145],[1,2,4,7,8,15,17,20,23,27,29,30,33,38,43,47,74,75,102,103,117,119,127,
141,144,145,153,154,160,167,169,186,187,191,315,387,408,412,413,444,446,463,
469,499,506,546,548,549,555,732,745,765,884,889,891,909,1146],[1,2,3,4,5,7,8,
15,17,20,27,29,30,33,38,40,42,45,47,48,50,52,74,75,102,103,117,119,121,127,
145,151,152,155,167,169,171,185,191,195,196,205,315,355,392,412,413,428,433,
450,454,457,463,495,506,546,555,730,765,766,767,771,790,891,1147],[1,2,3,4,5,
7,8,16,20,23,29,30,33,38,40,41,43,44,47,48,50,52,54,102,103,106,117,126,130,
134,136,141,144,151,152,153,155,157,160,161,165,167,169,170,189,195,198,202,
212,215,218,221,293,307,309,319,335,362,366,392,405,412,424,444,450,455,483,
485,495,499,506,513,527,541,549,667,743,766,781,788,850,867,888,909,1148],[1,
2,3,4,8,16,17,18,22,27,33,34,35,36,40,42,43,44,45,73,76,79,80,82,86,87,91,92,
129,130,143,147,154,158,170,180,196,197,200,207,216,219,306,316,323,325,329,
337,340,352,369,371,460,470,481,497,531,533,722,775,814,855,857,897,1149],[1,
3,4,6,7,8,13,14,16,21,23,24,25,26,30,36,37,40,42,43,49,51,54,55,77,84,85,86,
93,98,99,100,101,118,133,136,140,144,149,162,163,164,171,172,173,184,189,190,
207,213,214,216,222,290,364,365,388,389,415,445,451,487,492,507,512,521,525,
537,538,539,710,749,777,783,825,860,911,1150],[1,2,3,4,8,16,27,29,30,33,40,42,
43,44,45,117,128,130,141,145,147,154,155,161,162,167,170,171,176,185,186,187,
196,212,215,216,218,219,280,293,296,317,355,366,405,412,424,429,469,470,490,
491,498,555,711,759,771,888,889,1151],[1,2,4,7,8,15,16,17,18,20,22,27,30,33,
34,36,38,41,44,47,54,73,74,75,76,79,89,90,92,96,108,116,126,127,128,129,130,
134,145,147,149,157,161,165,169,183,191,200,213,285,296,307,310,326,344,356,
369,373,376,393,395,397,398,403,416,463,481,501,502,511,526,676,687,695,715,
758,795,802,843,1152],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,20,21,22,23,24,28,29,
30,31,32,33,34,36,39,40,41,42,43,45,46,47,48,50,52,54,73,79,80,82,84,85,86,88,
89,93,94,95,96,98,99,105,106,113,118,120,121,124,127,133,134,136,137,138,139,
140,141,144,146,149,151,152,153,154,155,158,159,162,165,167,171,176,178,180,
181,182,183,185,186,187,188,189,190,192,195,196,197,199,200,201,202,204,206,
207,208,210,212,213,216,217,218,219,220,221,222,223,225,288,303,304,312,313,
327,328,329,334,339,342,343,346,347,348,350,351,352,358,371,372,373,379,380,
382,383,385,386,388,389,391,392,394,396,402,410,414,416,419,421,425,426,429,
430,432,433,438,439,440,448,455,456,459,465,466,467,468,469,471,472,473,474,
475,476,479,482,485,487,488,490,491,493,494,496,498,504,507,509,510,512,514,
516,517,519,522,523,524,528,530,531,532,533,534,535,538,540,541,543,545,548,
556,658,674,677,685,686,691,697,701,703,706,733,734,740,760,761,770,773,779,
780,782,794,799,804,805,807,813,819,835,901,1153],[1,2,4,7,8,17,18,27,28,29,
33,34,36,38,44,49,54,76,79,92,95,108,117,146,147,157,173,182,191,215,390,404,
424,461,502,526,536,672,865,908,1154],[1,2,4,6,7,8,13,14,15,16,17,18,19,22,27,
29,30,33,34,35,36,38,39,44,53,54,73,74,75,76,78,79,87,89,90,91,92,96,99,107,
116,122,124,125,129,130,133,142,143,147,156,157,161,167,168,177,179,182,200,
201,212,215,285,298,301,302,305,306,334,340,345,356,369,372,375,390,393,395,
397,398,400,403,405,417,422,427,431,436,460,461,481,669,678,695,700,722,752,
753,758,776,890,912,1155],[1,2,3,4,7,15,21,22,27,30,34,38,40,43,44,54,75,82,
85,89,90,116,129,147,157,158,161,162,170,178,180,185,186,223,280,285,299,316,
337,369,395,397,398,421,535,695,708,855,877,879,1156],[1,2,4,6,7,8,13,14,16,
17,18,19,22,29,30,33,34,36,38,39,44,53,54,73,76,79,89,92,99,117,124,125,129,
130,133,142,157,161,167,168,182,200,201,212,215,285,301,334,366,372,400,405,
412,417,424,461,481,716,776,888,908,1157],[1,2,3,4,6,14,15,22,24,29,34,35,40,
43,44,53,78,82,84,90,129,138,141,142,143,155,156,158,170,180,190,201,215,218,
293,301,305,316,337,340,363,379,395,436,465,678,708,859,893,897,1158],[1,2,4,
6,7,8,13,14,16,17,18,19,22,29,30,33,34,36,38,39,44,51,53,54,73,76,79,89,92,99,
124,125,129,130,133,142,157,161,167,168,172,174,182,193,200,201,212,215,285,
301,334,364,370,372,400,405,417,461,462,481,681,776,824,907,1159],[1,2,3,4,5,
8,16,23,29,30,33,40,43,44,48,50,52,106,119,130,136,141,144,151,152,153,155,
160,161,167,170,189,195,198,202,212,215,218,221,293,309,362,367,392,405,413,
455,483,485,486,527,541,542,549,667,744,784,875,900,1160],[1,2,3,4,7,8,16,17,
18,22,30,33,34,35,36,38,40,43,44,46,54,73,79,82,89,92,96,113,122,129,137,140,
143,157,158,161,170,171,176,179,180,187,207,219,285,300,316,317,323,329,337,
340,403,427,431,523,530,705,753,820,879,897,1161],[1,2,3,4,5,8,16,23,27,29,30,
33,40,43,44,48,50,52,106,119,128,130,136,141,144,145,147,151,152,153,155,160,
161,167,170,189,195,198,202,212,215,218,221,293,296,309,362,367,392,405,413,
455,483,485,527,541,542,549,555,667,711,732,767,875,1162],[1,2,3,4,7,8,16,17,
18,21,22,30,33,34,35,36,38,40,43,44,54,73,79,82,85,89,92,96,122,129,143,157,
158,161,162,170,178,179,180,185,186,197,216,223,280,285,299,316,323,337,340,
403,421,427,431,531,535,712,753,877,894,897,1163],[1,2,3,4,5,7,8,17,23,27,29,
32,35,36,38,40,41,43,44,47,48,50,54,76,91,94,98,102,106,112,117,118,126,141,
151,155,157,159,160,170,179,182,191,198,204,206,211,215,218,220,222,293,294,
309,312,319,320,330,342,359,420,424,444,450,461,495,499,508,532,709,755,788,
791,817,850,908,1164],[1,2,3,4,6,7,8,13,14,16,19,21,24,27,33,35,38,39,40,42,
43,44,45,46,51,53,54,84,85,87,91,113,114,115,124,125,130,131,132,133,137,138,
140,142,143,147,154,157,168,170,172,174,178,190,193,196,203,216,219,223,282,
287,299,300,306,318,363,364,370,400,435,462,464,468,470,512,514,516,520,543,
718,731,851,883,907,1165],[1,2,4,7,8,16,17,20,28,29,30,33,36,38,41,44,47,54,
76,93,102,103,120,126,130,134,146,157,161,165,167,169,182,183,212,213,215,307,
319,335,347,348,361,386,405,461,486,501,506,513,736,741,744,781,828,1166],[1,
2,3,4,5,8,16,17,18,22,23,28,33,34,36,40,43,44,48,50,52,73,76,79,80,82,88,92,
93,94,95,96,98,118,120,129,130,136,146,153,154,158,166,170,180,181,195,197,
198,200,207,216,219,220,221,283,288,316,320,322,323,324,328,329,337,338,339,
351,371,403,404,419,467,476,479,481,496,527,531,553,657,696,705,712,747,772,
780,814,829,886,1167],[1,3,4,5,6,7,8,13,14,16,21,25,26,30,31,36,37,40,43,48,
49,50,51,54,55,77,80,83,85,94,99,100,101,120,133,138,140,148,149,152,172,173,
176,183,186,190,192,202,204,207,214,216,220,221,313,346,364,365,415,432,445,
449,456,474,476,500,512,519,525,534,537,721,749,760,860,871,902,906,1168],[1,
2,3,4,5,8,16,17,18,22,23,27,33,34,35,36,40,43,44,48,50,52,73,76,79,82,87,88,
91,92,94,98,118,129,130,136,143,147,153,158,166,170,180,181,195,198,200,220,
221,306,316,320,322,324,328,337,338,339,340,369,377,419,460,481,496,527,553,
673,722,768,769,772,897,913,1169],[1,2,4,7,22,27,30,34,35,38,41,43,44,47,49,
54,89,91,103,108,112,122,126,129,157,161,173,180,211,285,330,335,337,384,536,
557,720,810,894,1170],[1,2,4,6,7,13,22,25,26,27,30,34,37,38,39,43,44,53,54,81,
89,101,107,108,111,119,125,128,129,157,161,180,285,295,314,337,341,423,542,
713,724,879,1171],[1,2,3,4,5,6,7,8,13,14,15,17,19,20,21,24,25,26,27,31,32,33,
35,37,38,39,40,41,42,45,46,48,49,50,51,52,53,54,55,74,75,77,78,81,83,84,85,87,
97,100,101,104,109,110,111,112,113,114,115,121,123,124,131,132,135,148,150,
163,164,165,168,172,173,174,175,177,179,188,192,193,194,195,196,203,205,206,
209,210,211,214,217,224,225,311,318,333,349,350,354,370,374,401,406,407,409,
411,415,422,428,434,435,441,442,443,449,451,453,464,472,489,503,505,515,520,
544,547,550,551,671,738,764,789,818,851,853,868,870,873,876,1172],[1,2,3,4,5,
6,7,8,14,15,17,19,20,22,23,28,29,30,33,36,39,40,41,42,43,45,48,50,52,54,74,80,
88,89,98,99,104,106,118,121,123,124,127,137,138,140,141,144,146,153,154,158,
159,160,162,165,166,167,176,178,180,182,183,184,186,187,189,190,195,196,197,
200,201,202,204,205,207,208,213,218,220,222,223,290,304,315,327,342,343,352,
354,357,371,372,373,378,379,380,382,385,386,387,391,394,419,421,425,428,429,
430,432,458,459,468,469,471,474,479,480,507,508,509,510,517,529,530,541,543,
545,548,549,552,553,554,556,662,665,688,737,745,762,778,779,786,804,805,806,
819,834,866,1173],[1,2,3,4,5,6,7,8,13,14,17,23,24,25,27,30,31,36,37,38,39,40,
43,44,48,50,51,53,55,76,81,83,84,94,98,99,100,118,125,128,135,138,142,144,148,
152,161,163,164,170,172,177,184,189,190,191,192,198,202,208,220,290,297,308,
314,320,353,360,362,363,402,417,425,449,451,462,500,519,539,787,792,793,796,
824,844,910,1174],[1,2,3,4,5,6,7,8,13,14,16,19,23,24,27,31,32,33,38,39,40,43,
44,48,50,51,52,53,54,84,124,125,128,130,133,136,138,142,145,147,153,157,159,
168,170,172,174,184,190,192,193,195,198,204,206,208,217,221,222,225,296,341,
353,359,360,363,364,370,400,438,459,462,472,521,527,534,552,679,792,796,815,
907,1175],[1,2,4,5,6,14,15,22,23,29,31,34,35,44,48,53,78,88,90,106,129,142,
143,151,156,160,166,181,184,192,198,201,208,215,301,305,309,338,340,360,377,
395,436,458,504,678,739,768,874,904,1176],[1,2,3,4,5,7,15,22,23,27,30,32,34,
38,40,43,44,48,54,75,82,88,89,90,116,129,144,147,152,157,158,159,161,166,170,
180,181,189,198,202,204,206,222,285,316,337,338,359,362,369,377,378,380,383,
395,397,398,426,695,708,739,769,848,898,913,1177],[1,2,3,4,5,8,16,23,27,29,30,
33,35,40,43,44,48,50,52,87,91,106,117,130,136,141,143,144,147,151,152,153,155,
160,161,167,170,189,195,198,202,212,215,218,221,293,306,309,362,366,392,405,
412,420,424,455,483,485,527,541,549,557,667,755,791,816,888,1178],[1,2,4,6,7,
13,22,25,26,27,30,34,37,38,39,43,44,53,54,81,89,101,107,108,111,119,125,128,
129,157,161,180,285,295,314,337,341,423,542,713,724,894,1179],[1,2,4,7,8,16,
17,18,20,22,23,30,33,34,36,38,41,43,44,47,54,73,76,79,80,89,92,118,126,127,
129,130,134,149,153,154,157,161,165,166,169,180,183,200,213,285,307,310,322,
323,337,371,373,377,416,481,501,553,673,715,814,848,879,894,1180],[1,2,3,4,8,
16,17,18,22,23,27,33,34,36,40,42,43,44,45,73,76,79,80,82,86,92,118,128,129,
130,145,147,153,154,158,166,170,180,196,197,200,207,216,219,296,316,322,325,
329,337,352,369,371,377,470,481,497,502,531,533,553,673,687,769,775,855,857,
1181],[1,2,3,4,6,7,8,13,14,16,19,21,24,25,26,33,37,38,39,40,42,43,44,45,46,49,
53,54,55,77,81,84,85,97,100,101,111,113,124,125,130,132,133,135,137,138,140,
142,150,154,157,168,170,173,175,178,190,194,196,203,209,214,216,219,223,224,
295,299,300,308,363,365,400,409,411,415,435,441,445,447,453,468,470,503,512,
514,516,536,537,543,551,671,718,749,754,797,801,811,841,903,1182],[1,3,6,9,10,
24,51,55,61,62,68,69,72,163,227,235,273,565,566,568,917,925,937,1183],[1,2,6,
7,9,10,35,41,53,57,59,65,68,69,70,109,227,234,238,249,254,259,260,558,563,568,
628,635,915,923,928,1184],[1,4,6,9,10,11,14,22,29,64,69,72,201,230,232,242,
255,264,272,562,589,638,932,1185],[1,2,6,7,9,10,35,39,57,59,65,68,70,72,114,
227,237,238,258,259,558,563,565,610,916,923,1186],[1,2,6,7,9,10,37,39,53,55,
57,59,65,68,69,70,72,135,227,235,236,237,254,258,260,558,563,565,568,646,915,
916,936,937,1187],[1,4,5,9,10,11,22,23,48,60,63,64,88,230,243,248,255,264,272,
564,587,637,932,1188],[1,2,7,9,10,15,27,38,59,65,70,75,227,239,250,257,261,
266,563,583,584,615,929,1189],[1,3,6,7,9,10,37,46,49,61,62,65,68,69,70,97,227,
236,262,563,566,568,927,935,936,1190],[1,2,6,9,10,11,15,35,53,59,69,72,78,230,
238,244,260,261,266,562,597,623,934,1191],[1,2,6,7,9,10,15,39,41,57,59,65,68,
70,72,123,227,234,237,249,258,261,271,558,563,565,570,652,916,922,928,1192],[
1,2,4,9,10,15,34,44,57,59,64,90,227,252,257,261,266,277,558,602,604,614,929,
1193],[1,5,6,9,10,31,51,55,60,67,68,69,72,148,227,235,275,559,565,568,917,926,
937,1194],[1,2,6,7,9,10,39,49,57,59,65,68,70,72,194,227,237,258,558,563,565,
916,927,1195],[1,2,3,5,7,9,10,21,32,41,45,46,52,57,59,60,61,62,65,67,70,188,
227,234,245,249,262,265,267,268,274,276,278,558,559,563,566,621,636,918,919,
920,928,933,935,1196],[1,3,6,7,9,10,21,37,49,61,62,65,68,69,70,214,227,236,
267,563,566,568,920,927,936,1197],[1,2,6,7,9,10,11,15,39,41,57,69,70,72,123,
230,244,249,257,258,271,562,651,652,931,1198],[1,2,3,5,9,10,15,45,52,57,59,60,
61,62,67,205,227,245,261,271,274,276,278,558,559,566,578,600,918,922,933,
1199],[1,2,3,5,10,11,15,45,52,57,58,60,62,205,228,244,245,266,271,276,561,578,
624,921,1200],[1,3,5,8,11,12,28,42,50,56,58,66,71,199,226,240,247,251,256,270,
560,593,612,924,1201],[1,4,5,9,10,11,22,48,58,63,64,67,181,230,248,255,264,
272,567,569,608,617,932,1202],[1,2,3,5,9,10,11,15,45,52,57,60,62,63,205,230,
244,245,257,271,276,564,571,578,931,1203],[1,2,6,7,9,10,15,39,41,59,65,68,69,
123,227,234,237,257,261,266,568,570,651,929,1204],[1,2,6,9,10,15,35,53,59,68,
72,78,227,254,257,259,261,266,565,597,613,634,929,1205],[1,2,3,5,9,10,11,15,
45,52,57,58,61,63,67,205,230,244,257,271,274,278,567,571,600,624,931,1206],[1,
2,6,9,10,15,35,53,57,59,68,69,78,227,238,254,259,260,261,271,558,568,613,623,
915,922,923,1207],[1,2,6,9,10,15,35,53,59,68,69,78,227,238,257,260,261,266,
568,623,634,929,1208],[1,2,6,7,9,10,39,51,57,59,65,68,70,72,193,227,237,258,
558,563,565,916,917,1209],[1,2,3,5,6,7,9,10,24,31,32,39,52,57,59,60,61,62,65,
67,68,70,72,217,227,237,258,265,268,273,274,275,276,558,559,563,565,566,630,
916,918,919,925,926,1210],[1,2,3,6,7,9,10,21,24,39,45,46,57,59,61,62,65,68,70,
72,203,227,237,245,258,262,267,273,278,558,563,565,566,631,916,920,925,933,
935,1211],[1,9,10,11,12,226,227,228,229,230,653,654,655,1212],[1,2,4,5,6,9,14,
22,23,29,31,34,44,48,53,59,63,64,69,88,106,129,142,151,160,166,181,184,192,
198,201,208,215,232,242,243,248,252,255,260,277,279,301,309,338,360,458,504,
569,576,580,586,587,588,589,595,598,605,606,609,611,620,904,962,1001,1006,
1015,1019,1023,1213],[1,2,4,5,10,15,22,23,34,44,48,67,88,90,129,166,181,198,
266,272,338,377,395,617,739,995,1214],[1,2,4,8,12,16,17,18,22,28,33,34,36,44,
66,73,76,79,92,93,95,96,120,129,130,146,200,240,246,283,288,403,404,481,590,
603,619,632,696,953,1215],[1,2,4,5,9,22,23,34,35,44,48,59,63,64,88,129,143,
166,181,198,238,243,248,252,255,277,338,340,377,569,576,587,605,620,627,768,
952,962,1008,1216],[1,2,3,4,5,7,8,10,20,21,22,23,30,32,33,36,40,41,42,43,45,
46,48,50,52,54,57,60,61,62,70,82,85,86,88,89,98,113,127,137,152,153,158,162,
165,171,176,178,183,185,188,189,195,196,200,206,210,213,220,222,249,262,267,
268,272,276,278,350,368,373,414,419,426,433,448,492,497,523,529,535,554,572,
607,616,621,637,650,683,970,979,989,1004,1025,1026,1217],[1,2,3,4,5,8,9,15,17,
22,23,28,33,36,40,42,43,45,48,50,52,63,64,74,88,98,121,146,153,154,158,195,
196,197,200,205,207,220,243,248,255,257,352,357,387,419,428,479,480,571,582,
587,688,959,978,1005,1218],[1,2,4,6,7,9,13,15,27,29,34,35,38,39,41,44,47,53,
59,65,69,75,90,102,108,109,112,123,125,126,128,139,143,215,234,257,259,260,
281,284,291,305,319,331,376,604,615,628,651,838,942,998,1014,1219],[1,2,3,4,5,
8,10,15,17,22,23,28,33,36,40,42,43,45,48,50,52,57,60,62,74,88,98,121,146,153,
154,158,195,196,197,200,205,207,220,245,271,272,276,352,357,387,419,428,479,
480,572,578,616,637,688,955,964,970,1220],[1,2,4,7,9,15,27,34,35,38,41,44,47,
54,59,65,75,90,91,108,112,116,126,128,147,157,211,234,238,239,257,330,332,341,
376,381,397,418,604,615,640,668,942,966,992,1221],[1,2,3,4,6,7,8,10,14,19,21,
22,24,29,30,33,36,39,40,42,43,45,46,54,57,61,62,70,72,82,84,85,86,89,99,113,
124,132,137,154,155,158,162,167,171,176,178,182,185,190,196,197,200,201,203,
207,218,245,258,262,267,272,273,278,303,352,355,372,410,429,435,465,487,494,
497,523,535,543,572,607,616,631,638,650,682,955,979,990,1004,1026,1029,1222],[
1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,33,34,38,39,41,44,47,53,54,59,64,69,74,
90,92,96,104,105,123,124,125,126,130,133,134,139,142,157,165,168,169,242,257,
260,277,284,307,354,358,393,400,437,582,604,609,651,664,973,1014,1016,1223],[
1,2,4,6,7,9,13,14,15,25,27,34,35,37,38,39,41,44,47,53,55,59,64,65,68,69,75,78,
81,90,91,100,107,109,110,112,114,115,122,123,125,126,135,139,142,143,156,231,
233,234,235,236,237,238,239,242,250,252,253,254,259,260,261,277,281,284,287,
308,375,401,436,442,452,478,518,570,573,575,579,583,596,599,609,610,613,614,
618,622,623,626,627,628,629,635,640,643,646,648,831,939,943,946,957,958,968,
991,993,996,1003,1010,1224],[1,2,3,4,5,8,9,15,17,22,28,33,36,40,42,45,48,50,
52,63,64,74,82,86,94,121,146,181,195,196,199,200,205,248,255,257,396,428,480,
496,497,569,571,582,808,959,978,1225],[1,2,4,6,7,9,13,15,27,29,34,35,38,39,44,
53,59,65,68,75,78,90,91,107,114,115,122,125,128,143,215,237,238,257,259,287,
291,305,336,375,381,420,604,610,615,634,832,984,992,998,1226],[1,2,4,6,7,9,13,
15,25,26,27,34,35,37,38,39,41,44,47,53,54,59,65,68,69,75,78,81,90,91,101,107,
110,111,112,115,116,122,123,125,126,131,139,147,157,211,231,236,237,239,257,
260,282,284,292,295,330,375,397,399,442,443,477,604,615,634,643,651,833,966,
977,980,984,1014,1227],[1,2,4,6,7,9,13,15,27,30,34,38,39,41,44,47,53,59,65,69,
75,90,103,108,110,123,125,126,128,139,147,161,211,234,250,257,260,284,292,314,
332,335,376,398,604,615,618,651,881,942,972,1014,1228],[1,2,4,5,9,15,22,23,34,
44,48,59,63,64,88,90,129,166,181,198,243,248,252,255,261,277,338,377,395,569,
576,587,605,614,620,739,952,962,976,1229],[1,2,3,4,10,15,22,34,40,43,44,61,82,
90,129,158,170,180,266,272,316,337,395,607,708,995,1230],[1,3,4,8,12,16,18,22,
23,28,36,40,43,71,73,82,95,98,136,166,180,197,207,216,219,240,246,283,322,323,
324,329,531,581,585,591,829,953,1231],[1,2,4,8,9,15,17,22,23,28,33,36,43,64,
74,80,118,146,153,154,166,180,200,243,255,257,371,387,480,517,553,576,582,834,
959,1005,1232],[1,2,3,4,5,7,8,10,20,21,22,30,32,33,36,40,41,42,43,45,46,48,50,
52,54,57,61,62,67,70,82,85,89,94,113,127,137,152,154,158,162,165,171,176,178,
181,183,185,188,195,196,197,200,202,204,206,207,210,213,245,249,262,265,267,
272,274,313,350,352,373,383,430,433,482,496,523,524,535,540,545,572,607,616,
617,636,650,677,945,955,989,994,1004,1026,1233],[1,2,3,4,5,8,9,15,17,29,30,33,
40,42,45,48,50,52,63,64,74,121,127,151,152,155,167,171,185,195,196,205,232,
248,257,315,355,392,428,433,571,580,582,790,974,978,1234],[1,2,4,8,9,15,16,17,
18,27,33,34,35,44,59,64,74,87,90,91,92,96,128,130,143,145,147,238,257,277,296,
306,321,381,393,582,604,627,663,992,1016,1235],[1,2,4,6,9,14,22,23,29,34,44,
53,59,64,69,129,142,166,201,215,232,242,243,252,255,260,277,301,377,576,589,
609,611,620,874,952,1015,1236],[1,2,4,8,12,16,27,33,44,66,128,130,145,147,246,
296,632,742,1237],[1,2,4,6,8,9,14,15,17,18,27,30,33,34,35,36,44,53,59,64,68,
74,76,78,79,90,92,99,107,142,143,147,156,161,177,250,252,254,257,345,356,398,
417,427,436,460,579,582,604,634,669,950,972,1013,1238],[1,2,4,8,9,15,16,17,18,
29,30,33,34,44,59,64,74,90,92,96,127,130,149,161,167,212,215,232,257,277,310,
315,393,405,440,582,604,611,684,974,1016,1239],[1,2,3,4,5,8,10,15,17,22,28,33,
36,40,42,45,48,50,52,57,61,67,74,82,86,94,121,146,181,195,196,199,200,205,271,
272,274,278,396,428,480,496,497,572,600,607,617,808,964,979,994,1240],[1,2,4,
6,7,9,14,15,27,34,35,38,41,44,47,53,59,65,68,75,78,90,91,108,109,110,126,128,
142,143,156,234,238,254,257,331,336,353,376,381,436,452,604,615,634,635,689,
942,950,992,1241],[1,2,4,7,10,15,22,27,30,34,38,44,54,70,75,89,90,116,129,147,
157,161,266,272,285,369,395,397,398,584,650,695,995,1242],[1,2,4,5,7,9,23,29,
38,41,44,47,48,59,63,64,65,102,106,117,126,151,160,198,215,232,233,234,239,
243,248,277,309,319,424,450,499,580,588,598,601,605,611,648,649,788,975,1001,
1007,1009,1018,1243],[1,2,3,4,5,6,7,8,9,14,15,17,19,20,21,24,31,32,33,39,40,
41,42,45,46,48,50,52,54,63,64,69,74,84,85,104,113,121,123,124,132,165,188,192,
195,196,203,205,206,210,217,225,242,248,257,279,333,350,354,428,435,472,547,
571,582,586,651,870,973,978,1027,1244],[1,2,4,8,12,16,29,30,33,44,66,130,161,
167,212,215,246,405,486,632,744,1021,1245],[1,2,4,6,9,14,15,22,29,34,35,44,53,
59,68,78,90,129,142,143,156,201,215,254,257,259,261,301,305,340,395,436,604,
613,634,678,947,950,998,1246],[1,2,4,7,8,9,15,17,18,27,30,33,34,36,38,44,54,
59,64,65,74,75,76,79,90,92,108,116,147,157,161,183,191,213,239,250,252,257,
356,397,398,501,502,511,526,582,592,604,615,676,966,972,1013,1247],[1,2,4,8,
10,15,16,17,18,22,33,34,36,44,57,73,74,76,79,90,92,96,129,130,200,266,272,356,
393,395,403,481,572,602,758,995,1248],[1,2,4,6,10,14,15,22,29,34,35,44,53,72,
78,90,129,142,143,156,201,215,266,272,301,305,340,395,436,597,638,678,995,
1249],[1,2,4,6,7,8,10,14,15,17,19,20,22,28,29,30,33,36,39,41,54,57,70,72,74,
89,99,104,123,124,127,146,165,167,182,183,200,201,213,249,258,271,272,315,354,
372,373,385,386,480,572,638,650,652,665,964,989,990,1250],[1,2,4,8,9,15,16,17,
18,22,33,34,36,44,59,64,73,74,76,79,90,92,96,129,130,200,252,257,261,277,356,
393,395,403,481,582,604,614,758,947,1013,1016,1251],[1,4,5,8,12,16,18,22,28,
36,43,48,56,73,95,180,181,220,221,240,246,283,323,339,574,747,953,1252],[1,2,
4,6,7,8,9,13,15,17,18,19,20,27,33,34,35,36,38,39,41,44,47,53,59,64,65,68,74,
75,76,78,79,87,90,91,92,104,105,107,108,122,125,126,128,139,145,168,169,177,
179,191,233,234,237,252,253,257,286,289,294,297,321,356,375,376,422,437,463,
582,604,615,622,634,735,942,967,984,1013,1024,1253],[1,2,4,7,9,15,22,27,30,34,
38,44,54,59,65,75,89,90,116,129,147,157,161,239,250,257,261,285,369,395,397,
398,583,604,615,695,947,966,972,1254],[1,2,4,5,6,7,9,13,14,23,25,31,37,38,39,
44,48,51,53,55,59,63,64,65,68,69,81,83,100,125,135,142,148,172,184,192,198,
208,231,235,236,237,239,241,242,243,248,253,254,260,277,279,308,360,449,462,
539,586,595,596,605,606,609,625,626,643,645,646,647,787,944,958,985,1006,1028,
1255],[1,2,4,6,9,14,15,22,29,34,35,44,53,59,64,69,78,90,129,142,143,156,201,
215,232,238,242,252,255,260,261,277,301,305,340,395,436,575,589,609,611,614,
620,623,627,678,946,949,976,1008,1015,1256],[1,2,4,6,7,9,13,14,22,25,27,29,34,
37,38,39,44,53,55,59,64,65,68,69,81,100,107,108,125,128,129,135,142,201,215,
231,232,235,236,237,239,242,250,252,253,254,255,260,277,291,301,308,353,423,
579,589,592,596,609,611,620,626,642,643,646,845,958,983,999,1015,1031,1257],[
1,4,6,7,8,12,13,14,16,25,26,30,36,37,54,55,66,93,99,100,101,133,149,213,246,
263,269,388,525,537,590,777,1030,1258],[1,2,4,6,7,8,12,13,14,16,19,25,26,33,
37,38,39,44,53,54,55,66,81,100,101,111,124,125,130,133,135,142,150,157,168,
209,246,263,269,295,308,400,503,537,577,594,632,811,1030,1259],[1,2,4,6,7,9,
13,15,27,29,34,35,38,39,44,53,59,64,65,68,75,78,90,91,107,114,115,122,125,128,
143,215,232,237,238,239,250,252,253,254,259,261,277,287,291,305,336,375,381,
420,573,579,583,596,599,610,611,613,614,627,629,642,832,949,957,981,982,986,
991,1031,1260],[1,2,4,8,9,15,17,23,29,30,33,43,64,74,127,141,144,153,154,160,
167,186,187,232,243,257,315,387,469,548,549,582,588,745,974,1005,1261],[1,2,4,
8,9,15,16,17,18,27,30,33,34,44,59,64,74,90,92,96,127,128,130,145,147,149,161,
250,257,277,296,310,393,398,511,582,604,642,802,972,1016,1262],[1,4,5,8,11,16,
18,22,28,36,43,48,58,73,95,180,181,220,221,251,264,283,323,339,608,747,940,
1263],[1,2,4,8,9,15,16,17,18,27,29,30,33,34,35,44,59,64,74,87,90,91,92,96,130,
143,147,161,167,212,215,250,257,259,277,305,306,390,393,398,405,427,582,604,
629,890,972,998,1016,1264],[1,2,3,4,5,8,9,15,17,23,29,30,33,40,42,43,45,48,50,
52,63,64,74,106,121,127,153,154,162,167,176,189,195,196,202,205,218,232,243,
248,257,315,387,428,429,430,541,554,571,582,598,786,974,978,1005,1265],[1,2,4,
6,7,8,9,14,15,17,19,20,33,39,41,49,51,54,64,69,74,104,123,124,165,172,173,174,
175,193,194,241,242,257,354,370,374,411,434,582,647,651,853,969,973,1266],[1,
2,4,5,9,23,27,29,35,44,48,59,63,64,91,106,117,151,160,198,215,232,243,248,250,
259,277,309,420,424,580,588,598,605,611,629,649,791,981,1001,1009,1267],[1,2,
4,8,9,15,17,29,30,33,64,74,117,119,127,167,232,257,315,412,413,582,649,891,
974,1268],[1,3,4,6,7,12,13,14,16,23,24,25,26,37,40,51,54,55,71,84,100,101,133,
136,163,164,172,184,222,246,263,269,364,451,521,537,539,585,644,783,1030,
1269],[1,2,4,6,7,9,13,15,27,30,34,35,38,39,44,53,59,65,68,75,78,90,91,107,115,
122,125,128,131,147,161,237,238,250,257,282,314,375,381,398,418,557,599,604,
615,634,751,972,984,992,1270],[1,2,4,6,7,8,9,13,14,15,17,19,20,25,26,27,33,35,
37,38,39,41,53,54,55,64,65,68,69,74,75,78,81,87,100,101,104,109,110,111,112,
114,115,123,124,131,135,150,165,168,177,179,209,211,231,235,236,242,253,257,
354,401,406,407,422,442,443,464,503,505,515,582,615,626,634,651,764,967,973,
977,980,987,1271],[1,2,4,5,6,9,14,23,27,31,44,48,51,53,59,63,64,69,128,142,
172,184,192,198,208,241,242,243,248,250,260,277,279,353,360,462,586,595,605,
606,609,642,647,792,999,1006,1028,1272],[1,2,4,6,7,10,13,15,22,27,34,35,38,39,
41,44,47,53,57,70,72,75,78,90,91,107,108,122,123,125,126,128,129,139,249,258,
266,271,284,375,376,381,384,395,423,584,597,602,652,717,938,954,1002,1273],[1,
2,4,7,8,9,15,16,17,18,20,27,33,34,38,41,44,47,54,59,64,65,74,75,90,92,96,108,
116,126,128,130,134,145,147,157,165,169,191,233,234,239,257,277,296,307,326,
344,376,393,397,463,526,582,604,615,648,843,942,966,1016,1024,1274],[1,2,3,4,
5,8,9,15,16,17,18,23,33,34,40,42,43,44,45,48,50,52,59,63,64,74,90,92,96,121,
130,136,153,154,170,195,196,198,205,216,219,221,243,248,257,277,387,393,428,
466,467,470,527,571,582,604,605,895,978,1005,1016,1275],[1,2,4,6,7,9,13,14,15,
25,27,34,35,37,38,39,41,44,47,53,55,59,65,68,69,75,78,81,90,91,100,107,109,
110,112,114,115,122,123,125,126,135,139,142,143,156,235,236,237,254,257,260,
281,284,287,308,375,401,436,442,452,478,518,604,615,634,646,651,831,950,977,
984,987,1014,1276],[1,2,4,5,11,15,22,23,34,44,48,58,88,90,129,166,181,198,244,
264,338,377,395,608,739,971,1277],[1,2,4,6,7,9,13,15,22,27,34,35,38,39,41,44,
47,53,59,69,75,78,90,91,107,108,122,123,125,126,128,129,139,238,257,260,261,
284,375,376,381,384,395,423,604,623,651,717,947,992,1014,1278],[1,4,7,8,12,16,
29,30,36,47,54,66,102,103,120,134,182,212,213,246,347,486,513,603,741,1021,
1279],[1,2,4,6,9,14,22,29,34,44,51,53,59,64,69,129,142,172,201,215,232,241,
242,252,255,260,277,301,462,589,609,611,620,647,681,1015,1028,1280],[1,2,3,4,
10,15,22,34,40,43,44,62,82,90,129,158,170,180,266,272,316,337,395,616,708,995,
1281],[1,2,4,6,7,9,13,15,22,27,34,35,38,39,41,44,47,53,59,65,68,75,78,90,91,
107,108,122,123,125,126,128,129,139,234,237,257,261,284,375,376,381,384,395,
423,570,604,615,634,717,942,947,984,1282],[1,2,4,7,8,9,15,17,18,27,29,33,34,
35,36,38,44,54,59,64,65,74,75,76,79,90,92,116,122,143,147,157,179,182,215,239,
252,257,259,305,356,390,397,431,460,461,573,582,604,615,700,966,998,1013,
1283],[1,2,4,5,10,15,22,23,34,44,48,60,88,90,129,166,181,198,266,272,338,377,
395,637,739,995,1284],[1,2,3,4,5,8,11,15,17,22,28,33,36,40,42,45,48,50,52,58,
74,82,86,94,121,146,181,195,196,199,200,205,244,251,264,396,428,480,496,497,
608,612,624,808,951,1285],[1,2,3,4,5,6,7,8,10,14,19,22,23,24,29,30,31,32,33,
36,39,40,43,48,50,52,54,57,60,61,62,67,70,72,82,84,88,89,94,98,99,106,124,151,
152,153,155,158,167,181,182,189,190,192,195,200,201,202,204,206,208,217,218,
220,222,225,258,265,268,272,273,274,275,276,312,372,383,392,402,419,426,459,
465,472,496,504,519,532,541,572,607,616,617,630,637,638,650,740,945,963,970,
990,994,1025,1029,1286],[1,2,4,6,7,8,9,14,15,17,19,20,23,33,39,41,43,54,64,69,
74,104,123,124,138,140,153,154,159,165,184,223,242,243,257,354,387,468,552,
556,582,606,651,866,973,1005,1287],[1,2,4,6,9,14,22,29,34,44,53,59,64,69,117,
129,142,201,215,232,242,252,255,260,277,301,424,589,609,611,620,649,716,1009,
1015,1288],[1,2,4,6,7,9,13,15,27,29,34,35,38,39,41,44,47,53,59,64,65,68,75,90,
102,108,109,112,123,125,126,128,139,143,215,232,233,234,237,238,239,250,252,
253,254,261,277,281,284,291,305,319,331,376,570,583,592,596,601,611,614,622,
627,635,640,642,648,838,939,943,949,1007,1012,1022,1031,1289],[1,2,4,6,7,9,13,
15,22,27,34,35,38,39,41,44,47,53,59,64,65,68,75,78,90,91,107,108,122,123,125,
126,128,129,139,233,234,237,239,250,252,253,254,255,259,261,277,284,375,376,
381,384,395,423,570,573,579,583,592,596,613,614,620,622,629,642,648,717,943,
976,983,986,991,1000,1012,1290],[1,2,3,4,5,8,12,16,17,23,28,33,36,40,42,43,44,
45,48,50,52,56,66,71,76,80,86,93,94,98,118,120,121,130,136,146,153,154,170,
195,196,197,198,199,207,216,219,220,221,246,247,256,270,320,325,351,357,361,
389,396,470,475,476,479,517,527,574,581,585,590,591,593,603,632,693,948,956,
960,961,965,988,997,1291],[1,3,4,12,16,23,29,30,40,71,119,136,155,160,189,212,
246,367,483,486,585,784,1021,1292],[1,3,4,6,7,12,13,14,16,21,25,26,37,40,43,
49,54,55,71,77,85,100,101,133,140,173,190,214,216,246,263,269,365,415,445,512,
537,591,641,749,1030,1293],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,27,33,34,35,38,
39,44,53,54,59,64,65,68,74,75,78,87,90,91,92,96,107,116,122,124,125,130,133,
142,143,147,156,157,168,177,179,237,239,253,254,257,277,298,302,306,345,375,
393,397,400,422,431,436,582,596,604,615,634,912,950,966,967,984,1016,1294],[1,
2,4,6,7,9,13,22,27,34,35,38,39,41,44,47,53,59,64,65,68,91,107,108,109,112,114,
115,122,125,126,128,129,143,233,234,237,238,239,250,252,253,254,255,259,277,
281,287,331,336,340,384,423,573,579,592,596,599,610,620,627,629,635,640,642,
648,725,939,957,982,983,1000,1008,1022,1295],[1,4,7,8,12,16,29,30,36,47,54,66,
93,102,103,134,182,183,212,246,348,486,513,590,736,1021,1296],[1,2,3,4,5,6,7,
8,9,14,15,17,19,20,23,33,39,40,41,42,43,45,48,50,52,54,63,64,69,74,104,121,
123,124,137,153,154,165,178,190,195,196,204,205,208,222,242,243,248,257,354,
387,428,459,529,543,545,571,582,595,651,662,973,978,1005,1297],[1,2,4,6,7,9,
14,15,27,34,35,38,41,44,47,53,59,64,65,69,75,78,90,91,108,109,110,126,128,142,
143,156,233,234,238,239,242,250,252,259,260,261,277,331,336,353,376,381,436,
452,575,583,592,609,614,618,623,627,628,629,642,648,689,946,982,986,996,999,
1012,1022,1298],[1,4,6,7,8,12,13,14,16,25,26,30,36,37,54,55,66,99,100,101,120,
133,149,183,246,263,269,346,525,537,603,721,1030,1299],[1,2,3,5,6,7,9,15,21,
24,25,26,27,31,32,38,39,41,45,46,49,51,52,63,65,69,75,77,83,111,123,131,164,
188,193,194,203,205,211,217,224,231,241,257,279,318,333,434,441,443,544,550,
571,615,625,651,738,969,980,1027,1300],[1,3,4,6,7,12,13,14,16,25,26,37,40,43,
46,49,54,55,71,97,100,101,113,133,173,190,219,223,224,246,263,269,365,447,453,
514,537,581,633,754,1030,1301],[1,3,4,12,16,29,30,40,43,71,117,171,186,212,
218,219,246,366,486,491,581,823,1021,1302],[1,2,4,8,9,15,16,17,18,22,28,33,34,
36,44,59,64,73,74,76,79,90,92,93,95,96,120,129,130,146,200,252,255,257,277,
288,356,361,393,404,480,481,582,604,620,690,959,1013,1016,1303],[1,2,4,7,8,9,
15,17,20,27,29,30,33,38,47,64,65,74,75,102,103,127,145,167,169,191,232,233,
257,315,463,506,546,555,582,601,615,765,974,1024,1304],[1,4,5,6,7,12,13,14,16,
25,26,31,37,43,48,51,54,55,56,83,100,101,133,138,148,172,192,204,221,246,263,
269,364,449,500,534,537,574,639,902,1030,1305],[1,2,4,6,7,8,9,13,15,17,18,27,
33,34,35,36,38,39,41,44,47,53,59,64,69,74,76,79,90,91,92,116,123,125,126,128,
139,156,177,179,191,238,252,257,260,284,294,297,298,326,356,381,575,582,604,
651,748,992,1013,1014,1306],[1,2,4,6,7,9,14,22,27,29,34,35,38,41,44,47,53,59,
64,65,69,91,102,108,109,110,122,126,129,142,201,215,232,233,234,239,242,250,
252,255,259,260,277,301,319,384,420,452,573,589,592,601,609,611,618,620,628,
629,648,728,981,996,1000,1007,1015,1307],[1,2,3,5,6,7,9,15,21,24,31,32,35,37,
39,41,45,46,49,51,52,53,55,63,68,69,78,97,109,114,123,135,148,163,188,193,194,
203,205,214,217,235,241,257,279,311,333,349,401,434,520,551,571,634,645,651,
818,969,987,1027,1308],[1,2,4,6,7,8,9,14,15,17,19,20,22,28,29,30,33,36,39,41,
54,64,69,74,89,99,104,123,124,127,146,165,167,182,183,200,201,213,232,242,255,
257,315,354,372,373,385,386,480,582,589,651,665,959,973,974,1309],[1,4,5,12,
16,29,30,43,48,56,119,141,151,202,212,221,246,367,455,486,574,900,1021,1310],[
1,3,4,12,16,29,30,40,43,71,117,185,187,212,216,218,246,366,486,498,591,896,
1021,1311],[1,6,9,10,11,51,68,69,72,227,228,230,241,562,565,568,654,917,1033,
1312],[1,6,9,10,11,55,68,69,72,227,228,230,235,562,565,568,654,937,1033,
1313],[1,2,9,10,11,15,57,59,227,228,230,244,257,261,266,271,558,654,921,922,
929,931,934,1314],[1,5,6,9,10,11,31,58,60,63,67,68,69,72,227,228,230,275,279,
559,561,562,564,565,567,568,654,926,930,1033,1034,1315],[1,2,4,6,7,8,13,14,15,
16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,73,74,75,76,79,
87,89,90,91,92,93,95,96,99,102,103,104,105,108,109,110,112,116,120,122,123,
124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,157,161,165,
167,168,169,179,182,183,191,200,201,211,212,213,215,281,284,285,286,288,291,
292,294,296,301,305,306,307,310,314,315,319,326,330,331,332,334,335,344,346,
347,348,354,356,358,361,372,373,376,384,385,386,388,390,393,397,398,400,404,
405,416,417,420,427,431,437,440,452,460,461,463,480,481,486,501,502,505,506,
511,513,526,546,555,557,664,665,672,676,684,690,694,700,707,711,715,728,736,
741,744,756,763,765,776,781,785,799,810,812,816,817,822,826,827,828,838,843,
852,861,881,885,887,890,892,1037,1053,1072,1081,1093,1094,1117,1127,1138,1139,
1166,1316],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,33,34,35,
36,37,38,39,41,44,47,53,54,55,73,74,75,76,78,79,81,87,89,90,91,92,93,95,96,99,
100,101,104,105,107,108,109,110,111,112,114,115,116,120,122,123,124,125,126,
127,128,129,130,131,133,134,135,139,142,143,145,146,147,149,150,156,157,161,
165,167,168,169,177,179,182,183,191,200,201,209,211,212,213,215,281,282,284,
285,287,288,289,291,292,295,296,297,298,301,302,306,307,308,310,314,315,330,
334,341,345,346,347,348,353,354,356,358,361,372,373,375,385,386,388,393,397,
398,399,400,401,404,405,406,407,416,417,422,423,427,431,436,437,440,442,443,
452,460,461,464,477,478,480,481,501,502,503,505,511,515,518,525,526,537,546,
664,665,669,676,680,684,690,702,704,715,719,721,724,731,756,757,764,776,777,
799,802,811,812,815,822,826,827,828,831,833,839,845,852,856,861,863,910,912,
914,1041,1051,1065,1071,1089,1094,1095,1097,1098,1108,1139,1317],[1,2,4,6,7,8,
13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,39,44,53,54,73,74,75,76,78,79,
87,89,90,91,92,96,99,107,114,115,116,122,124,125,127,128,129,130,131,133,142,
143,145,147,149,156,157,161,167,168,177,179,182,200,201,212,215,282,285,287,
291,296,298,301,302,305,306,310,314,315,321,334,336,340,345,356,369,372,375,
381,390,393,395,397,398,400,403,405,417,418,420,422,427,431,436,440,460,461,
464,481,486,511,525,555,557,663,669,675,678,680,684,695,700,711,722,731,744,
751,752,753,758,776,785,802,812,816,832,840,856,858,861,863,890,912,1067,1071,
1073,1093,1098,1119,1125,1127,1155,1318],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,
22,27,29,30,33,34,35,36,38,39,41,44,47,53,54,73,74,75,76,78,79,87,89,90,91,92,
96,102,103,104,105,107,108,109,110,112,116,122,123,124,125,126,127,128,129,
130,133,134,139,142,143,145,147,149,156,157,161,165,167,168,169,177,179,183,
191,200,211,212,213,215,281,284,285,286,289,291,292,294,296,297,298,302,305,
306,307,310,314,315,319,321,326,330,331,332,335,336,341,344,345,353,354,356,
358,369,373,375,376,381,384,390,393,395,397,398,400,403,405,416,418,422,423,
427,431,436,437,440,452,463,481,501,502,505,506,511,513,525,526,546,555,663,
664,668,676,680,684,687,689,694,695,704,707,711,715,717,735,742,746,748,758,
763,765,781,785,795,802,812,815,822,838,842,843,852,856,858,861,863,872,881,
885,887,890,912,1037,1050,1051,1057,1060,1065,1067,1071,1072,1086,1117,1119,
1126,1152,1319],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,20,22,23,24,27,29,30,31,32,
33,34,35,36,38,39,40,41,43,44,47,48,50,52,53,54,73,76,79,82,84,87,88,89,91,92,
94,98,99,102,103,106,108,109,110,112,117,118,122,124,125,126,129,130,133,134,
136,138,141,142,143,144,147,151,152,153,155,157,158,159,160,161,165,166,167,
168,169,170,179,180,181,182,184,189,190,191,192,195,198,200,201,202,204,206,
208,211,212,215,217,218,220,221,222,225,281,285,286,290,292,293,294,301,306,
307,309,312,316,319,320,324,328,330,334,335,338,339,342,359,360,362,363,366,
372,378,379,380,383,384,392,400,402,405,412,417,419,420,424,425,426,431,438,
444,450,452,455,458,459,461,465,472,481,483,485,495,496,499,504,505,506,508,
513,519,521,526,527,532,534,541,549,552,553,557,667,679,707,709,716,728,729,
737,740,743,755,766,772,776,781,788,791,810,813,816,817,844,850,852,859,867,
888,892,898,904,908,909,1058,1083,1085,1138,1148,1157,1164,1178,1320],[1,2,4,
6,7,8,13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,
73,74,75,76,78,79,87,90,91,92,93,95,96,99,107,108,109,110,112,114,115,116,120,
122,124,125,126,127,128,129,130,131,133,134,142,143,145,146,147,149,156,157,
161,165,167,168,169,177,179,182,183,191,200,211,212,213,215,281,282,286,287,
288,289,291,292,294,296,297,298,302,305,306,307,310,314,321,326,330,331,332,
336,340,341,344,345,346,347,348,353,356,361,369,375,376,381,384,385,386,388,
390,393,397,398,400,404,405,417,418,420,422,423,427,431,436,452,460,461,463,
464,480,481,501,502,505,511,526,546,555,557,663,668,669,672,675,676,680,687,
689,690,700,704,707,711,719,722,725,731,742,746,751,756,774,785,802,812,815,
816,822,826,827,828,832,836,840,842,843,852,854,858,861,863,887,890,912,1053,
1057,1060,1073,1081,1086,1089,1094,1095,1100,1113,1119,1125,1126,1137,1321],[
1,2,4,6,7,8,13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,39,44,49,53,54,73,
74,75,76,78,79,87,89,90,91,92,96,99,107,116,119,122,124,125,129,130,133,142,
143,147,156,157,161,167,168,173,175,177,179,182,194,200,201,212,215,285,298,
301,302,305,306,334,340,345,356,365,367,369,372,375,390,393,395,397,398,400,
403,405,411,413,417,422,427,431,436,460,461,481,536,542,669,678,695,700,713,
720,722,752,753,758,776,865,875,890,899,903,912,1043,1092,1112,1128,1155,
1322],[1,2,3,4,6,7,13,14,15,22,24,25,27,29,34,35,37,38,39,40,41,43,44,47,51,
53,55,75,78,81,82,84,90,91,100,102,107,108,109,110,112,114,115,117,122,123,
125,126,128,129,135,138,139,141,142,143,155,156,158,163,164,170,172,180,190,
201,215,218,281,284,287,291,293,301,305,308,316,319,331,336,337,340,353,363,
375,376,379,381,384,395,401,420,423,424,436,442,444,451,452,462,465,478,495,
500,518,678,681,689,708,716,717,725,728,755,793,796,831,832,838,845,850,859,
893,897,1042,1058,1064,1087,1091,1145,1158,1323],[1,2,3,4,6,7,8,13,14,16,17,
18,19,20,22,23,24,25,27,29,33,34,35,36,37,38,39,40,41,43,44,47,51,53,55,73,79,
81,82,84,87,91,92,96,98,100,102,104,105,107,108,109,110,115,116,117,122,125,
126,128,129,131,135,136,138,139,141,142,145,147,155,156,158,163,164,166,168,
169,170,172,177,179,180,190,191,201,211,215,218,282,286,289,291,292,293,298,
301,302,308,316,319,321,322,324,326,332,344,345,353,363,369,377,379,384,390,
403,406,418,420,423,424,437,444,451,452,462,465,477,495,500,515,518,661,675,
681,716,728,746,752,755,757,769,793,796,836,845,850,859,872,874,885,1058,1061,
1062,1074,1087,1101,1142,1324],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,25,26,
27,29,30,33,34,35,36,37,38,39,41,44,47,53,54,55,73,74,75,76,78,79,81,87,89,90,
91,92,96,99,100,101,102,103,104,105,107,108,109,110,111,112,114,115,116,122,
123,124,125,126,128,129,130,131,133,134,135,139,142,143,145,147,150,156,157,
161,165,167,168,169,177,179,182,191,200,201,209,211,212,215,281,282,284,285,
286,287,289,291,292,294,295,296,297,298,301,302,305,306,307,308,314,319,321,
326,330,331,332,334,335,336,340,341,344,345,353,354,356,358,369,372,375,376,
381,384,390,393,395,397,398,399,400,401,403,405,406,407,417,418,420,422,423,
427,431,436,437,442,443,452,460,461,463,464,477,478,481,503,505,506,513,515,
518,526,537,557,663,664,668,669,675,678,689,695,700,702,704,707,717,722,724,
725,728,731,735,746,748,751,752,753,757,758,763,764,774,776,781,810,811,812,
815,816,817,831,832,833,836,838,839,840,842,843,845,852,854,858,872,881,885,
887,890,892,910,912,914,1050,1056,1062,1072,1096,1097,1100,1108,1109,1123,
1125,1126,1138,1145,1155,1325],[1,2,3,4,6,7,8,13,14,15,16,17,18,19,21,22,24,
27,29,30,33,34,35,36,38,39,40,42,43,44,45,46,53,54,73,74,75,76,78,79,80,82,84,
85,86,87,89,90,91,92,96,99,107,113,116,122,124,125,129,130,132,133,137,138,
140,141,142,143,147,154,155,156,157,158,161,162,167,168,170,171,176,177,178,
179,180,182,185,186,187,190,196,197,200,201,203,207,212,215,216,218,219,223,
280,285,293,298,299,300,301,302,303,305,306,316,317,323,325,327,329,334,337,
340,345,352,355,356,363,369,371,372,375,379,390,391,393,395,397,398,400,403,
405,410,417,421,422,427,429,431,435,436,460,461,465,468,469,470,474,481,487,
490,491,494,497,498,510,512,514,516,523,530,531,533,535,543,669,670,674,678,
682,695,700,705,708,712,718,722,727,752,753,758,759,773,775,776,814,819,820,
855,857,859,877,879,890,893,894,897,912,1059,1080,1110,1134,1135,1149,1155,
1156,1158,1161,1163,1326],[1,2,3,4,5,7,8,15,16,17,18,20,21,22,23,27,30,32,33,
34,36,38,40,41,42,43,44,45,46,47,48,50,52,54,73,74,75,76,79,80,82,85,86,88,89,
90,92,94,96,98,108,113,116,118,126,127,128,129,130,134,136,137,140,144,145,
147,149,152,153,154,157,158,159,161,162,165,166,169,170,171,176,178,180,181,
183,185,186,187,188,189,191,195,196,197,198,200,202,204,206,207,210,213,216,
219,220,221,222,223,280,285,296,299,300,304,307,310,313,316,317,320,322,323,
324,325,326,328,329,337,338,339,343,344,350,352,356,359,362,368,369,371,373,
376,377,378,380,382,383,393,394,395,397,398,403,414,416,419,421,426,430,432,
433,439,448,456,463,470,471,473,481,482,488,492,493,496,497,501,502,507,509,
511,522,523,524,526,527,528,529,530,531,533,535,538,540,545,548,553,554,556,
656,657,661,666,673,676,677,683,687,695,698,703,705,708,712,715,723,726,733,
734,739,758,769,772,775,778,779,795,802,814,820,843,848,855,857,877,879,894,
898,913,1054,1069,1079,1080,1090,1099,1106,1120,1135,1152,1156,1177,1180,1181,
1327],[1,2,4,6,7,8,13,14,16,17,18,19,22,27,28,29,30,33,34,36,38,39,44,51,53,
54,73,76,79,89,92,93,95,96,99,107,108,119,120,124,125,128,129,130,133,142,145,
146,147,157,161,167,168,172,174,177,182,191,193,200,201,212,215,283,285,288,
289,296,297,301,334,345,364,367,369,370,372,390,400,403,404,405,413,417,423,
461,462,481,502,511,526,542,672,681,687,696,704,713,719,752,776,785,795,824,
875,899,907,1084,1112,1121,1159,1328],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,22,
23,24,27,29,30,31,32,33,34,35,36,38,39,40,43,44,48,49,50,52,53,54,73,76,79,82,
84,87,88,89,91,92,94,98,99,106,114,115,118,124,125,127,129,130,131,133,136,
138,141,142,143,144,147,149,151,152,153,155,157,158,159,160,161,166,167,168,
170,173,175,180,181,182,184,189,190,192,194,195,198,200,201,202,204,206,208,
212,215,217,218,220,221,222,225,282,285,287,290,293,301,306,309,310,311,312,
316,320,324,328,334,338,339,342,359,360,362,363,365,372,378,379,380,383,392,
400,402,405,411,417,419,425,426,427,438,455,458,459,461,464,465,472,481,483,
485,496,504,508,511,519,521,525,527,532,534,536,541,544,549,552,553,667,679,
680,709,720,729,731,737,740,772,776,813,825,844,856,859,861,865,873,880,898,
903,904,906,1055,1083,1098,1128,1132,1329],[1,2,4,6,7,8,13,14,15,16,17,18,19,
20,22,28,29,30,33,34,36,38,39,41,44,47,49,51,53,54,73,74,76,79,89,90,92,93,95,
96,99,104,105,120,123,124,125,126,127,129,130,133,134,139,142,146,149,157,161,
165,167,168,169,172,173,174,175,182,183,193,194,200,201,212,213,215,284,285,
288,301,307,310,315,334,346,347,348,354,356,358,361,364,365,370,372,373,374,
385,386,388,393,400,404,405,411,416,417,434,437,440,461,462,480,481,484,501,
536,664,665,681,684,690,715,720,776,799,824,826,828,846,853,865,871,903,907,
911,1070,1122,1128,1139,1159,1330],[1,2,3,4,6,7,13,15,21,22,25,26,27,30,34,35,
37,38,39,40,41,43,44,47,49,53,54,75,77,78,81,82,85,89,90,91,101,103,107,108,
110,111,112,115,116,119,122,123,125,126,128,129,131,139,147,157,158,161,162,
170,173,178,180,185,186,211,214,223,280,282,284,285,292,295,299,314,316,330,
332,335,337,341,369,375,376,381,384,395,397,398,399,408,415,418,421,423,442,
443,447,457,477,535,536,542,557,668,695,708,713,717,720,724,751,803,810,833,
836,841,855,877,879,881,882,905,1075,1077,1092,1109,1144,1156,1171,1331],[1,2,
3,4,6,7,8,13,14,16,17,18,19,20,21,22,24,27,29,30,33,34,35,36,38,39,40,41,42,
43,44,45,46,47,53,54,73,76,79,80,82,84,85,86,87,89,91,92,99,102,103,108,109,
110,112,113,119,122,124,125,126,129,130,132,133,134,137,138,140,141,142,143,
147,154,155,157,158,161,162,165,167,168,169,170,171,176,178,179,180,182,185,
186,187,190,191,196,197,200,201,203,207,211,212,215,216,218,219,223,280,281,
285,286,292,293,294,299,300,301,303,306,307,316,317,319,325,327,329,330,334,
335,352,355,363,367,371,372,379,384,391,400,405,408,410,413,417,420,421,429,
431,435,446,452,454,457,461,465,468,469,470,474,481,487,490,491,494,497,498,
505,506,510,512,513,514,516,523,526,530,531,533,535,542,543,557,660,670,674,
682,707,713,718,727,728,730,750,759,773,775,776,781,798,803,810,816,817,819,
820,852,859,864,875,877,882,884,892,899,1059,1076,1077,1112,1118,1129,1130,
1138,1332],[1,2,3,4,6,7,8,13,14,16,17,18,19,21,22,23,24,27,28,29,30,33,34,36,
38,39,40,42,43,44,45,46,53,54,73,76,79,80,82,84,85,86,89,92,93,95,96,98,99,
107,108,113,118,120,124,125,128,129,130,132,133,136,137,138,140,141,142,145,
146,147,153,154,155,157,158,161,162,166,167,168,170,171,176,177,178,180,182,
185,186,187,190,191,196,197,200,201,203,207,212,215,216,218,219,223,280,283,
285,288,289,293,296,297,299,300,301,303,316,317,322,323,324,325,327,329,334,
337,345,352,355,357,363,369,371,372,377,379,389,390,391,400,403,404,405,410,
417,421,423,429,435,461,465,466,468,469,470,474,475,481,487,490,491,494,497,
498,502,510,511,512,514,516,523,526,530,531,533,535,543,553,661,670,672,673,
674,682,687,696,704,705,712,718,719,727,752,759,769,773,775,776,785,795,819,
820,829,847,848,855,857,859,874,877,886,893,1054,1059,1084,1090,1134,1136,
1140,1142,1181,1333],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,28,29,30,33,34,
36,38,39,41,44,47,53,54,73,74,76,79,89,90,92,93,95,96,99,104,105,117,119,120,
123,124,125,126,127,129,130,133,134,139,142,146,149,157,161,165,167,168,169,
182,183,200,201,212,213,215,284,285,288,301,307,310,315,334,346,347,348,354,
356,358,361,366,367,372,373,385,386,388,393,400,404,405,412,413,416,417,424,
437,440,461,480,481,501,542,664,665,684,690,713,715,716,776,799,826,828,830,
862,869,875,888,891,899,908,1112,1114,1124,1139,1157,1334],[1,2,3,4,6,7,13,15,
22,25,26,27,30,34,35,37,38,39,40,41,43,44,46,47,49,53,54,75,78,81,82,89,90,91,
97,101,103,107,108,110,111,112,113,115,116,119,122,123,125,126,128,129,131,
137,139,140,147,157,158,161,170,171,173,176,180,187,211,224,282,284,285,292,
295,300,314,316,317,330,332,335,337,341,369,375,376,381,384,395,397,398,399,
418,423,442,443,445,446,453,454,477,523,530,536,542,557,659,660,668,695,708,
713,717,720,724,751,797,798,810,820,833,836,857,881,894,1076,1092,1103,1109,
1135,1170,1179,1335],[1,2,4,6,7,8,13,14,15,16,17,18,19,22,27,29,30,33,34,35,
36,38,39,44,51,53,54,73,74,75,76,78,79,87,89,90,91,92,96,99,107,116,117,122,
124,125,129,130,133,142,143,147,156,157,161,167,168,172,174,177,179,182,193,
200,201,212,215,285,298,301,302,305,306,334,340,345,356,364,366,369,370,372,
375,390,393,395,397,398,400,403,405,412,417,422,424,427,431,436,460,461,462,
481,669,678,681,695,700,716,722,752,753,758,776,824,888,890,907,908,912,1061,
1091,1155,1157,1159,1336],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,22,23,24,27,28,
29,30,31,32,33,34,36,38,39,40,43,44,48,50,52,53,54,73,76,79,80,82,84,88,89,92,
93,94,95,96,98,99,106,107,108,118,120,124,125,128,129,130,133,136,138,141,142,
144,145,146,147,151,152,153,154,155,157,158,159,160,161,166,167,168,170,177,
180,181,182,184,189,190,191,192,195,197,198,200,201,202,204,206,207,208,212,
215,216,217,218,219,220,221,222,225,283,285,288,289,290,293,296,297,301,309,
312,316,320,322,323,324,328,329,334,337,338,339,342,345,351,359,360,362,363,
369,371,372,378,379,380,383,390,392,400,402,403,404,405,417,419,423,425,426,
438,455,458,459,461,465,467,472,476,479,481,483,485,496,502,504,508,511,519,
521,526,527,531,532,534,541,549,552,553,657,667,672,679,687,696,704,705,709,
712,719,729,737,740,747,752,772,776,780,785,795,813,814,829,844,855,857,859,
879,886,893,894,898,904,913,1036,1083,1084,1099,1106,1110,1120,1134,1167,
1337],[1,2,3,4,5,7,8,16,17,18,20,21,22,23,27,28,30,32,33,34,35,36,38,40,41,42,
43,44,45,46,47,48,50,52,54,73,76,79,80,82,85,86,87,88,89,91,92,93,94,95,96,98,
108,113,118,120,122,126,127,129,130,134,136,137,140,143,144,146,147,149,152,
153,154,157,158,159,161,162,165,166,169,170,171,176,178,179,180,181,183,185,
186,187,188,189,191,195,196,197,198,200,202,204,206,207,210,213,216,219,220,
221,222,223,280,283,285,286,288,294,299,300,304,306,307,310,313,316,317,320,
322,323,324,325,328,329,337,338,339,340,343,350,351,352,357,359,362,368,369,
371,373,377,378,380,382,383,384,389,394,403,404,414,416,419,421,426,427,430,
431,432,433,439,448,456,460,466,467,470,471,473,475,476,479,481,482,488,492,
493,496,497,501,507,509,511,522,523,524,526,527,528,529,530,531,533,535,538,
540,545,548,553,554,556,656,657,661,666,673,677,680,683,696,698,703,705,707,
712,715,722,723,726,733,734,747,753,756,768,769,772,775,778,779,780,795,814,
820,829,847,848,855,857,877,879,886,894,897,898,913,1054,1069,1082,1090,1104,
1106,1120,1136,1149,1161,1163,1167,1169,1180,1338],[1,2,4,6,7,8,13,14,15,16,
17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,73,74,75,76,78,79,
87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,122,123,124,125,126,127,
128,129,130,133,134,139,142,143,145,146,147,149,156,157,161,165,167,168,169,
177,179,182,183,191,200,201,212,213,215,283,284,285,286,288,289,294,296,297,
298,301,302,305,306,307,310,315,321,326,334,340,344,345,346,347,348,354,356,
358,361,369,372,373,375,376,381,384,385,386,388,390,393,395,397,398,400,403,
404,405,416,417,422,423,427,431,436,437,440,460,461,463,480,481,501,502,511,
526,663,664,665,669,672,676,678,680,684,687,690,695,696,700,704,707,715,717,
719,722,735,748,752,753,756,758,776,785,795,799,802,826,827,828,843,872,890,
912,1047,1050,1053,1067,1082,1084,1089,1113,1139,1152,1155,1339],[1,2,3,4,5,6,
7,8,13,14,16,17,19,21,23,24,25,26,28,30,31,32,33,36,37,38,39,40,42,43,44,45,
46,48,49,50,51,52,53,54,55,76,77,80,81,83,84,85,86,93,94,97,98,99,100,101,111,
113,118,120,121,124,125,127,130,132,133,135,136,137,138,140,142,144,146,148,
149,150,152,153,154,157,159,161,162,163,164,168,170,171,172,173,174,175,176,
178,183,184,185,186,187,189,190,192,193,194,195,196,197,198,199,202,203,204,
206,207,208,209,213,214,216,217,219,220,221,222,223,224,225,280,290,295,299,
300,304,308,310,313,317,320,325,343,346,349,351,357,359,360,361,362,363,364,
365,368,370,382,385,388,389,394,396,400,402,409,410,411,414,415,417,425,430,
432,433,435,438,441,445,447,448,449,451,453,456,459,462,468,470,471,472,473,
474,475,476,479,482,487,489,492,500,501,503,507,509,510,512,514,516,517,519,
521,524,525,527,528,534,536,537,538,539,540,543,548,550,551,552,554,656,671,
679,685,686,692,693,710,718,721,723,726,727,749,754,760,762,777,783,787,793,
794,797,801,805,807,809,811,825,826,837,841,844,856,860,871,876,878,902,903,
906,907,911,1041,1045,1068,1078,1105,1122,1132,1143,1150,1168,1182,1340],[1,2,
3,4,6,7,8,13,16,17,18,19,20,22,25,26,27,30,33,34,35,36,37,38,39,40,41,43,44,
46,47,49,53,54,73,79,81,82,87,89,91,92,96,97,101,103,104,105,107,108,109,111,
112,113,114,115,116,119,122,125,126,128,129,137,139,140,143,145,156,157,158,
161,168,169,170,171,173,176,177,179,180,187,191,207,211,219,224,281,285,286,
287,289,295,298,300,302,314,316,317,321,323,326,329,330,331,335,336,337,340,
341,344,384,399,403,406,407,423,427,431,437,445,446,453,454,478,523,530,536,
542,557,659,660,705,713,720,724,725,753,763,797,798,810,820,839,840,842,872,
879,897,1043,1056,1076,1103,1144,1161,1171,1341],[1,2,4,6,7,8,13,14,16,17,18,
19,22,23,27,29,30,33,34,36,38,39,43,44,49,53,54,73,76,79,89,92,99,118,124,125,
128,129,130,133,142,145,147,153,157,161,166,167,168,173,175,180,182,194,200,
201,212,215,285,291,296,301,314,322,334,337,365,372,377,390,400,405,411,417,
461,481,486,511,536,553,555,673,711,720,744,776,785,812,848,865,874,893,903,
1127,1128,1140,1342],[1,2,4,5,6,7,13,14,15,22,23,25,27,29,31,34,35,37,38,39,
41,44,47,48,51,53,55,75,78,81,83,88,90,91,100,102,106,107,108,109,110,112,114,
115,117,122,123,125,126,128,129,135,139,142,143,148,151,156,160,166,172,181,
184,192,198,201,208,215,281,284,287,291,301,305,308,309,319,331,336,338,340,
353,360,375,376,377,381,384,395,401,420,423,424,436,442,449,450,452,458,462,
478,499,504,518,539,678,681,689,716,717,725,728,739,768,787,788,791,792,831,
832,838,845,874,904,1074,1085,1091,1101,1111,1145,1176,1343],[1,2,3,4,6,7,8,
13,14,16,17,18,19,21,22,24,27,29,30,33,34,36,38,39,40,42,43,44,45,46,53,54,73,
76,79,80,82,84,85,86,89,92,99,113,117,124,125,128,129,130,132,133,137,138,140,
141,142,145,147,154,155,157,158,161,162,167,168,170,171,176,178,180,182,185,
186,187,190,196,197,200,201,203,207,212,215,216,218,219,223,280,285,291,293,
296,299,300,301,303,314,316,317,325,327,329,334,352,355,363,366,371,372,379,
390,391,400,405,410,412,417,421,424,429,435,461,465,468,469,470,474,481,486,
487,490,491,494,497,498,510,511,512,514,516,523,530,531,533,535,543,555,670,
674,682,711,716,718,727,744,759,771,773,775,776,785,812,819,820,823,859,877,
888,889,896,908,1059,1102,1127,1151,1157,1344],[1,2,4,6,7,8,13,14,16,17,18,19,
20,22,27,29,30,33,34,35,36,38,39,41,43,44,47,49,53,54,73,76,79,80,87,89,91,92,
99,102,103,108,109,110,112,122,124,125,126,129,130,133,134,142,143,147,154,
157,161,165,167,168,169,173,175,179,180,182,191,194,200,201,211,212,215,281,
285,286,292,294,301,306,307,319,323,330,334,335,337,365,371,372,384,400,405,
411,417,420,431,452,461,481,505,506,513,526,536,557,707,720,728,776,781,810,
814,816,817,852,865,879,892,893,894,903,1110,1128,1138,1144,1170,1345],[1,2,3,
4,5,6,7,8,13,14,15,16,17,18,19,22,23,24,27,29,30,31,32,33,34,35,36,38,39,40,
43,44,48,50,52,53,54,73,74,75,76,78,79,82,84,87,88,89,90,91,92,94,96,98,99,
106,107,116,118,122,124,125,129,130,133,136,138,141,142,143,144,147,151,152,
153,155,156,157,158,159,160,161,166,167,168,170,177,179,180,181,182,184,189,
190,192,195,198,200,201,202,204,206,208,212,215,217,218,220,221,222,225,285,
290,293,298,301,302,305,306,309,312,316,320,322,324,328,334,337,338,339,340,
342,345,356,359,360,362,363,369,372,375,377,378,379,380,383,390,392,393,395,
397,398,400,402,403,405,417,419,422,425,426,427,431,436,438,455,458,459,460,
461,465,472,481,483,485,496,504,508,519,521,527,532,534,541,549,552,553,657,
661,667,669,673,678,679,695,700,708,709,722,729,737,739,740,752,753,758,768,
769,772,776,813,844,848,859,874,890,893,897,898,904,912,913,1036,1079,1083,
1104,1140,1142,1155,1158,1169,1176,1177,1346],[1,2,3,4,5,7,8,15,16,17,18,20,
23,27,29,30,33,34,38,40,41,42,43,44,45,47,48,50,52,54,74,75,90,92,96,102,103,
106,108,116,117,119,121,126,127,128,130,134,136,141,144,145,147,149,151,152,
153,154,155,157,160,161,162,165,167,169,170,171,176,185,186,187,189,191,195,
196,198,202,205,212,215,216,218,219,221,280,293,296,307,309,310,315,317,319,
326,335,344,355,362,366,367,376,387,392,393,397,405,408,412,413,424,428,429,
430,433,440,444,446,450,454,455,456,457,463,466,467,469,470,473,483,485,490,
491,495,498,499,506,513,526,527,528,538,541,542,546,548,549,554,555,656,658,
667,684,694,711,730,732,743,745,750,759,765,766,767,771,781,782,786,788,790,
798,822,843,849,850,862,864,867,875,882,884,888,889,891,895,909,1040,1049,
1114,1117,1118,1131,1146,1147,1148,1151,1162,1347],[1,2,4,6,7,8,13,14,16,17,
18,19,22,27,28,29,30,33,34,36,38,39,44,49,53,54,73,76,79,89,92,93,95,96,99,
107,108,117,120,124,125,128,129,130,133,142,145,146,147,157,161,167,168,173,
175,177,182,191,194,200,201,212,215,283,285,288,289,296,297,301,334,345,365,
366,369,372,390,400,403,404,405,411,412,417,423,424,461,481,502,511,526,536,
672,687,696,704,716,719,720,752,776,785,795,865,888,903,908,1084,1128,1154,
1157,1348],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,23,24,27,30,31,32,33,
34,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,74,84,85,90,92,96,104,
105,113,121,123,124,125,126,127,128,130,132,133,134,136,137,138,139,140,142,
145,147,149,153,154,157,159,161,165,168,169,170,172,173,174,175,178,184,188,
190,192,193,194,195,196,198,203,204,205,206,208,210,216,217,219,221,222,223,
225,284,296,299,300,307,310,333,341,350,353,354,358,359,360,363,364,365,370,
374,387,393,398,400,411,428,434,435,437,438,439,459,462,466,467,468,470,472,
484,488,493,511,512,514,516,521,522,525,527,529,534,536,543,545,546,547,552,
556,659,662,664,666,679,697,706,718,792,796,802,815,821,822,825,837,846,853,
856,860,866,870,895,903,905,906,907,1039,1044,1065,1068,1070,1132,1175,1349],[
1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,23,24,25,26,27,31,32,33,34,35,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,74,75,77,78,81,83,84,85,
87,90,91,92,96,97,100,101,104,105,107,109,110,111,112,113,114,115,116,121,122,
123,124,125,126,130,131,132,133,134,135,136,137,138,139,140,142,143,147,148,
150,153,154,156,157,159,163,164,165,168,169,170,172,173,174,175,177,178,179,
184,188,190,192,193,194,195,196,198,203,204,205,206,208,209,210,211,214,216,
217,219,221,222,223,224,225,281,282,284,287,292,295,298,299,300,302,306,307,
308,311,318,330,333,345,349,350,354,358,359,360,363,364,365,370,374,375,387,
393,397,399,400,401,406,407,409,411,415,422,428,431,434,435,436,437,438,439,
441,442,443,445,447,449,451,452,453,459,462,464,466,467,468,470,472,477,478,
484,488,489,493,500,503,505,512,514,515,516,518,520,521,522,527,529,534,536,
537,539,543,544,545,547,550,551,552,556,662,664,666,671,679,697,702,706,718,
731,738,749,754,757,764,783,787,789,793,797,801,811,818,821,831,833,839,841,
846,851,852,853,866,868,870,873,876,878,880,883,895,902,903,907,912,1038,1044,
1046,1048,1055,1070,1078,1108,1165,1172,1182,1350],[1,2,3,4,6,7,8,13,14,16,17,
18,19,21,22,24,27,29,30,33,34,35,36,38,39,40,42,43,44,45,46,51,53,54,73,76,79,
80,82,84,85,86,87,89,91,92,99,113,114,115,124,125,127,129,130,131,132,133,137,
138,140,141,142,143,147,149,154,155,157,158,161,162,167,168,170,171,172,174,
176,178,180,182,185,186,187,190,193,196,197,200,201,203,207,212,215,216,218,
219,223,280,282,285,287,293,299,300,301,303,306,310,316,317,318,325,327,329,
334,352,355,363,364,370,371,372,379,391,400,405,410,417,421,427,429,435,461,
462,464,465,468,469,470,474,481,487,490,491,494,497,498,510,511,512,514,516,
520,523,525,530,531,533,535,543,670,674,680,681,682,718,727,731,759,773,775,
776,819,820,824,837,851,856,859,860,861,877,883,907,1059,1068,1098,1159,1165,
1351],[1,2,4,6,7,8,13,14,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,
44,47,53,54,73,76,79,87,89,91,92,93,95,96,99,102,103,107,108,109,110,112,114,
115,120,122,124,125,126,127,128,129,130,131,133,134,142,143,145,146,147,149,
157,161,165,167,168,169,177,179,182,183,191,200,201,211,212,213,215,281,282,
283,285,286,287,288,289,292,294,296,297,301,306,307,310,319,330,331,332,334,
335,336,340,345,369,372,373,384,390,400,403,404,405,416,417,418,420,423,427,
431,452,460,461,464,481,501,502,505,506,511,513,525,526,546,557,672,680,687,
696,704,707,715,719,722,725,728,731,752,753,756,774,776,781,785,795,810,816,
817,822,836,852,854,856,858,861,863,887,892,1037,1051,1057,1073,1082,1084,
1098,1100,1138,1352],[1,2,4,6,7,8,13,14,16,17,18,19,22,27,29,30,33,34,36,38,
39,43,44,51,53,54,73,76,79,80,89,92,99,124,125,128,129,130,133,142,145,147,
154,157,161,167,168,172,174,180,182,193,200,201,212,215,285,291,296,301,314,
323,334,337,364,370,371,372,390,400,405,417,461,462,481,486,511,555,681,711,
744,776,785,812,814,824,879,893,894,907,1110,1127,1159,1353],[1,2,4,6,7,8,13,
14,16,17,18,19,20,22,23,27,29,30,33,34,35,36,38,39,41,43,44,47,51,53,54,73,76,
79,87,89,91,92,99,102,103,108,109,110,112,118,122,124,125,126,129,130,133,134,
142,143,147,153,157,161,165,166,167,168,169,172,174,179,180,182,191,193,200,
201,211,212,215,281,285,286,292,294,301,306,307,319,322,330,334,335,337,364,
370,372,377,384,400,405,417,420,431,452,461,462,481,505,506,513,526,553,557,
673,681,707,728,776,781,810,816,817,824,848,852,874,892,893,907,1042,1074,
1138,1140,1159,1354],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,22,23,24,25,26,27,29,
30,31,32,33,34,36,37,38,39,40,43,44,48,50,51,52,53,54,55,73,76,79,81,82,83,84,
88,89,92,94,98,99,100,101,106,107,108,111,118,124,125,128,129,130,133,135,136,
138,141,142,144,145,147,148,150,151,152,153,155,157,158,159,160,161,163,164,
166,167,168,170,172,174,177,180,181,182,184,189,190,191,192,193,195,198,200,
201,202,204,206,208,209,212,215,217,218,220,221,222,225,285,289,290,291,293,
295,296,297,301,308,309,312,314,316,320,324,328,334,338,339,341,342,345,349,
353,359,360,362,363,364,370,372,378,379,380,383,392,400,402,405,417,419,423,
425,426,438,449,451,455,458,459,461,462,465,472,481,483,485,489,496,500,503,
504,508,519,521,526,527,532,534,537,539,541,549,550,552,553,667,679,681,704,
709,724,729,737,740,772,776,783,787,792,793,796,811,812,813,815,824,844,845,
859,876,878,898,902,904,907,910,914,1078,1083,1087,1097,1111,1159,1174,1175,
1355],[1,2,4,6,7,8,13,14,16,17,18,19,22,27,29,30,33,34,35,36,38,39,43,44,53,
54,73,76,79,80,87,89,91,92,99,114,115,117,124,125,127,129,130,131,133,142,143,
147,149,154,157,161,167,168,180,182,200,201,212,215,282,285,287,301,306,310,
323,334,337,366,371,372,400,405,412,417,424,427,461,464,481,511,525,680,716,
731,776,814,856,861,879,888,893,894,908,1098,1110,1157,1356],[1,2,3,4,5,8,15,
16,17,18,23,27,29,30,33,34,35,40,42,43,44,45,48,50,52,74,87,90,91,92,96,106,
117,119,121,127,130,136,141,143,144,147,149,151,152,153,154,155,160,161,162,
167,170,171,176,185,186,187,189,195,196,198,202,205,212,215,216,218,219,221,
280,293,305,306,309,310,315,317,355,362,366,367,387,390,392,393,398,405,412,
413,420,424,427,428,429,430,433,440,455,456,466,467,469,470,473,483,485,486,
490,491,498,527,528,538,541,542,548,549,554,557,656,658,660,667,684,744,745,
755,759,782,784,786,790,791,803,816,823,849,861,862,875,888,890,891,895,896,
900,1093,1102,1114,1129,1131,1160,1178,1357],[1,2,4,6,7,8,13,14,16,17,18,19,
22,25,26,27,29,30,33,34,36,37,38,39,43,44,53,54,55,73,76,79,80,81,89,92,99,
100,101,107,108,111,119,124,125,128,129,130,133,135,142,145,147,150,154,157,
161,167,168,177,180,182,191,200,201,209,212,215,285,289,291,295,296,297,301,
308,314,323,334,337,341,345,353,367,371,372,400,405,413,417,423,461,481,503,
526,537,542,704,713,724,776,811,812,814,815,845,875,879,893,894,899,910,914,
1097,1110,1112,1171,1179,1358],[1,2,4,6,7,8,13,14,16,17,18,19,22,23,27,29,30,
33,34,35,36,38,39,43,44,53,54,73,76,79,87,89,91,92,99,114,115,118,119,124,125,
127,129,130,131,133,142,143,147,149,153,157,161,166,167,168,180,182,200,201,
212,215,282,285,287,301,306,310,322,334,337,367,372,377,400,405,413,417,427,
461,464,481,511,525,542,553,673,680,713,731,776,848,856,861,874,875,893,899,
1098,1112,1140,1359],[1,2,4,6,7,8,13,14,16,17,18,19,22,23,25,26,27,29,30,33,
34,36,37,38,39,43,44,53,54,55,73,76,79,81,89,92,99,100,101,107,108,111,117,
118,124,125,128,129,130,133,135,142,145,147,150,153,157,161,166,167,168,177,
180,182,191,200,201,209,212,215,285,289,291,295,296,297,301,308,314,322,334,
337,341,345,353,366,372,377,400,405,412,417,423,424,461,481,503,526,537,553,
673,704,716,724,776,811,812,815,845,848,874,888,893,908,910,914,1064,1097,
1101,1140,1157,1360],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,28,
29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,73,74,76,79,
80,82,84,85,86,88,89,90,92,93,94,95,96,98,99,104,105,106,113,118,120,121,123,
124,125,126,127,129,130,132,133,134,136,137,138,139,140,141,142,144,146,149,
151,152,153,154,155,157,158,159,160,161,162,165,166,167,168,169,170,171,176,
178,180,181,182,183,184,185,186,187,188,189,190,192,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,210,212,213,215,216,217,218,219,220,221,222,
223,225,280,284,285,288,290,293,299,300,301,303,304,307,309,310,312,313,315,
316,317,320,324,325,327,328,329,333,334,338,339,342,343,346,347,348,350,351,
352,354,355,356,357,358,359,360,361,362,363,368,371,372,373,378,379,380,382,
383,385,386,387,388,389,391,392,393,394,396,400,402,404,405,410,414,416,417,
419,421,425,426,428,429,430,432,433,435,437,438,439,440,448,455,456,458,459,
461,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,482,483,485,
487,488,490,491,492,493,494,496,497,498,501,504,507,508,509,510,512,514,516,
517,519,521,522,523,524,527,528,529,530,531,532,533,534,535,538,540,541,543,
545,547,548,549,552,553,554,556,656,658,662,664,665,666,667,670,674,677,679,
682,683,684,685,686,688,690,691,692,693,697,698,699,701,703,706,709,710,714,
715,718,723,726,727,729,733,734,737,740,745,759,760,761,762,770,772,773,775,
776,778,779,780,782,786,790,794,799,800,804,805,806,807,808,809,813,819,820,
821,826,828,834,835,844,847,849,859,866,870,877,895,898,901,904,1035,1044,
1045,1052,1059,1069,1083,1088,1131,1139,1141,1153,1173,1361],[1,2,4,6,7,8,13,
14,16,17,18,19,22,25,26,27,28,29,30,33,34,36,37,38,39,44,53,54,55,73,76,79,81,
89,92,93,95,96,99,100,101,107,108,111,120,124,125,128,129,130,133,135,142,145,
146,147,150,157,161,167,168,177,182,191,200,201,209,212,215,283,285,288,289,
291,295,296,297,301,308,314,334,341,345,353,369,372,390,400,403,404,405,417,
423,461,481,486,502,503,511,526,537,555,672,687,696,704,711,719,724,742,744,
752,776,785,795,811,812,815,845,910,914,1060,1084,1097,1127,1362],[1,2,3,4,6,
7,8,13,16,17,18,19,20,21,22,25,26,27,30,33,34,35,36,37,38,39,40,41,43,44,47,
49,53,54,73,77,79,81,82,85,87,89,91,92,96,101,103,104,105,107,108,109,111,112,
114,115,116,119,122,125,126,128,129,139,143,145,156,157,158,161,162,168,169,
170,173,177,178,179,180,185,186,191,197,211,214,216,223,280,281,285,286,287,
289,295,298,299,302,314,316,321,323,326,330,331,335,336,337,340,341,344,384,
399,403,406,407,408,415,421,423,427,431,437,447,457,478,531,535,536,542,557,
712,713,720,724,725,753,763,803,810,839,840,841,842,872,877,882,894,897,905,
1043,1056,1075,1077,1163,1170,1179,1363],[1,2,3,4,5,8,15,16,17,18,22,23,27,28,
33,34,35,36,40,42,43,44,45,48,50,52,73,74,76,79,80,82,86,87,88,90,91,92,93,94,
95,96,98,118,120,121,128,129,130,136,143,145,146,147,153,154,158,166,170,180,
181,195,196,197,198,199,200,205,207,216,219,220,221,288,296,306,316,320,321,
322,323,324,325,328,329,337,338,339,340,351,352,356,357,361,369,371,377,381,
387,389,393,396,404,419,428,460,466,467,470,475,476,479,480,481,496,497,502,
517,527,531,533,553,663,673,687,688,690,693,701,722,768,769,772,775,780,808,
814,827,834,847,855,857,886,895,897,913,1088,1099,1113,1116,1149,1169,1181,
1364],[1,2,3,4,5,6,7,8,13,14,16,17,19,21,23,24,27,28,30,31,32,33,35,36,38,39,
40,42,43,44,45,46,48,49,50,51,52,53,54,76,80,84,85,86,87,91,93,94,98,99,113,
114,115,118,120,121,124,125,127,128,130,131,132,133,136,137,138,140,142,143,
144,145,146,147,149,152,153,154,157,159,161,162,168,170,171,172,173,174,175,
176,178,183,184,185,186,187,189,190,192,193,194,195,196,197,198,199,202,203,
204,206,207,208,213,216,217,219,220,221,222,223,225,280,282,287,290,296,299,
300,304,306,310,311,313,317,318,320,325,341,343,346,351,353,357,359,360,361,
362,363,364,365,368,370,382,385,388,389,394,396,400,402,410,411,414,417,425,
430,432,433,435,438,448,456,459,460,462,464,468,470,471,472,473,474,475,476,
479,482,487,492,501,502,507,509,510,512,514,516,517,519,520,521,524,527,528,
534,536,538,540,543,544,548,552,554,656,659,679,685,686,692,693,710,718,723,
726,727,731,760,762,792,794,796,805,807,809,815,826,827,844,851,863,871,873,
880,883,903,905,907,911,1039,1045,1055,1095,1122,1165,1175,1365],[1,2,3,4,5,8,
15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,73,74,76,79,80,82,86,88,
90,92,93,94,95,96,98,118,120,121,129,130,136,146,153,154,158,166,170,180,181,
195,196,197,198,199,200,205,207,216,219,220,221,283,288,316,320,322,323,324,
325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,
404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,533,553,657,
661,673,688,690,693,696,701,705,708,712,739,747,758,772,775,780,808,814,829,
834,847,886,895,1047,1079,1080,1088,1116,1136,1167,1366],[1,2,3,4,5,6,7,8,13,
14,16,17,18,19,22,23,24,27,29,30,31,32,33,34,36,38,39,40,43,44,48,50,52,53,54,
73,76,79,82,84,88,89,92,94,98,99,106,118,119,124,125,128,129,130,133,136,138,
141,142,144,145,147,151,152,153,155,157,158,159,160,161,166,167,168,170,180,
181,182,184,189,190,192,195,198,200,201,202,204,206,208,212,215,217,218,220,
221,222,225,285,290,291,293,296,301,309,312,314,316,320,324,328,334,338,339,
342,359,360,362,363,367,372,378,379,380,383,390,392,400,402,405,413,417,419,
425,426,438,455,458,459,461,465,472,481,483,485,486,496,504,508,511,519,521,
527,532,534,541,542,549,552,553,555,667,679,709,711,713,729,732,737,740,744,
767,772,776,784,785,812,813,844,859,875,898,899,900,904,1083,1112,1127,1160,
1162,1367],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,23,28,29,30,33,34,36,38,39,
41,43,44,47,53,54,73,74,76,79,80,89,90,92,93,95,96,99,104,105,118,120,123,124,
125,126,127,129,130,133,134,139,142,146,149,153,154,157,161,165,166,167,168,
169,180,182,183,200,201,212,213,215,284,285,288,301,307,310,315,322,323,334,
337,346,347,348,354,356,358,361,371,372,373,377,385,386,387,388,393,400,404,
405,416,417,437,440,461,480,481,501,517,553,664,665,673,684,690,715,776,799,
814,826,828,834,848,874,879,886,893,894,1110,1116,1139,1140,1180,1368],[1,2,3,
4,5,7,8,16,17,20,21,23,27,28,29,30,32,33,35,36,38,40,41,42,43,44,45,46,47,48,
50,52,54,76,80,85,86,87,91,93,94,98,106,113,117,118,119,120,121,126,128,130,
134,136,137,140,141,143,144,145,146,147,151,152,153,154,155,157,159,160,161,
162,165,167,169,170,171,176,178,182,183,185,186,187,188,189,195,196,197,198,
199,202,204,206,207,210,212,213,215,216,218,219,220,221,222,223,280,293,296,
299,300,303,304,306,307,309,312,313,317,320,325,327,331,332,342,343,347,348,
350,351,355,357,359,361,362,366,367,368,382,386,389,391,392,394,396,405,412,
413,414,420,424,429,432,439,448,455,460,461,469,470,471,475,476,479,482,483,
485,488,490,491,492,493,494,498,501,502,507,508,509,517,522,524,527,529,532,
540,541,542,545,549,555,556,557,660,666,667,670,691,693,699,709,711,714,723,
726,732,755,759,761,767,770,771,791,800,803,804,806,816,827,828,830,835,869,
875,887,888,889,901,1035,1081,1124,1129,1151,1162,1178,1369],[1,2,4,5,6,7,8,
13,14,16,17,18,19,20,22,23,25,27,29,31,33,34,35,36,37,38,39,41,43,44,47,48,51,
53,55,73,79,81,83,87,88,91,92,96,100,102,104,105,106,107,108,109,110,115,116,
117,122,125,126,128,129,131,135,139,142,145,147,148,151,156,160,166,168,169,
172,177,179,180,181,184,191,192,198,201,208,211,215,220,221,282,286,289,291,
292,298,301,302,308,309,319,321,322,326,332,337,338,339,344,345,353,360,369,
384,390,403,406,418,420,423,424,437,449,450,452,458,462,477,499,504,515,518,
539,657,675,681,716,728,746,752,757,787,788,791,792,836,845,872,885,893,904,
913,1036,1042,1061,1062,1064,1085,1111,1370],[1,2,3,4,6,7,8,13,14,16,17,18,19,
21,22,24,25,26,27,29,30,33,34,36,37,38,39,40,42,43,44,45,46,49,53,54,55,73,76,
77,79,80,81,82,84,85,86,89,92,97,99,100,101,107,108,111,113,124,125,128,129,
130,132,133,135,137,138,140,141,142,145,147,150,154,155,157,158,161,162,167,
168,170,171,173,175,176,177,178,180,182,185,186,187,190,191,194,196,197,200,
201,203,207,209,212,214,215,216,218,219,223,224,280,285,289,291,293,295,296,
297,299,300,301,303,308,314,316,317,325,327,329,334,341,345,352,353,355,363,
365,371,372,379,391,400,405,409,410,411,415,417,421,423,429,435,441,445,447,
453,461,465,468,469,470,474,481,487,490,491,494,497,498,503,510,512,514,516,
523,526,530,531,533,535,536,537,543,551,659,670,671,674,682,704,718,720,724,
727,749,754,759,773,775,776,797,801,811,812,815,819,820,841,845,859,865,877,
903,905,910,914,1039,1059,1063,1075,1097,1103,1128,1182,1371],[1,2,3,4,5,7,8,
16,17,20,21,23,28,29,30,32,33,36,38,40,41,42,43,44,45,46,47,48,50,52,54,76,80,
85,86,93,94,98,102,103,106,113,117,118,119,120,121,126,130,134,136,137,140,
141,144,146,151,152,153,154,155,157,159,160,161,162,165,167,169,170,171,176,
178,182,183,185,186,187,188,189,195,196,197,198,199,202,204,206,207,210,212,
213,215,216,218,219,220,221,222,223,280,293,299,300,303,304,307,309,312,313,
317,319,320,325,327,335,342,343,347,348,350,351,355,357,359,361,362,366,367,
368,382,386,389,391,392,394,396,405,408,412,413,414,424,429,432,439,444,446,
448,450,454,455,457,461,469,470,471,475,476,479,482,483,485,486,488,490,491,
492,493,494,495,498,499,501,506,507,508,509,513,517,522,524,527,529,532,540,
541,542,545,549,556,666,667,670,691,693,699,709,714,723,726,730,736,741,743,
744,750,759,761,766,770,781,784,788,798,800,804,806,823,828,830,835,850,864,
867,869,875,882,884,888,896,900,901,909,1035,1066,1102,1107,1115,1118,1124,
1133,1148,1160,1166,1372],[1,2,3,6,7,9,10,21,24,35,39,45,46,51,57,59,61,62,65,
68,70,72,114,193,203,227,237,238,245,258,259,262,267,273,278,520,558,563,565,
566,610,631,916,917,920,923,925,933,935,1186,1209,1211,1373],[1,2,3,6,7,9,10,
21,24,37,39,45,46,49,53,55,57,59,61,62,65,68,69,70,72,97,135,194,203,214,227,
235,236,237,245,254,258,260,262,267,273,278,551,558,563,565,566,568,631,646,
915,916,920,925,927,933,935,936,937,1187,1190,1195,1197,1211,1374],[1,2,4,6,7,
9,10,13,15,34,38,39,41,44,47,53,57,59,64,65,68,69,90,123,125,126,139,227,233,
234,237,239,252,253,254,257,260,261,266,277,284,558,568,570,596,602,604,614,
622,648,651,915,929,943,1014,1193,1204,1375],[1,2,4,9,10,15,27,34,35,44,57,59,
64,90,91,128,227,238,250,252,257,259,261,266,277,381,558,602,604,614,629,642,
923,929,986,992,1193,1376],[1,2,3,5,6,7,9,10,24,31,32,35,39,49,52,57,59,60,61,
62,65,67,68,70,72,114,194,217,227,237,238,258,259,265,268,273,274,275,276,311,
558,559,563,565,566,610,630,916,918,919,923,925,926,927,1186,1195,1210,1377],[
1,2,3,5,6,7,9,10,24,31,32,37,39,51,52,53,55,57,59,60,61,62,65,67,68,69,70,72,
135,148,163,193,217,227,235,236,237,254,258,260,265,268,273,274,275,276,349,
558,559,563,565,566,568,630,646,915,916,917,918,919,925,926,936,937,1183,1187,
1194,1209,1210,1378],[1,2,6,7,9,10,15,25,27,35,37,38,39,41,53,59,65,68,69,70,
75,78,81,110,112,115,123,227,231,234,236,237,238,239,250,257,260,261,266,442,
563,568,570,583,584,599,615,618,623,634,640,643,651,929,936,977,993,1189,1204,
1208,1379],[1,2,6,7,9,10,15,35,37,39,41,53,55,57,59,65,68,69,70,72,78,109,114,
123,135,227,234,235,236,237,238,249,254,258,259,260,261,271,401,558,563,565,
568,570,610,613,623,628,635,646,652,915,916,922,923,928,936,937,968,1184,1186,
1187,1192,1207,1380],[1,2,4,10,11,15,22,34,44,57,90,129,228,244,264,266,271,
272,395,602,921,971,995,1002,1381],[1,2,3,5,6,7,9,10,15,21,24,31,32,39,41,45,
46,52,57,59,60,61,62,65,67,68,70,72,123,188,203,205,217,227,234,237,245,249,
258,261,262,265,267,268,271,273,274,275,276,278,333,558,559,563,565,566,570,
578,600,621,630,631,636,652,916,918,919,920,922,925,926,928,933,935,941,1192,
1196,1199,1210,1211,1382],[1,2,4,9,10,15,29,34,35,44,57,59,64,90,143,215,227,
232,238,252,257,259,261,266,277,305,558,602,604,611,614,627,923,929,949,998,
1193,1383],[1,2,4,9,10,15,22,34,44,57,59,64,90,129,227,252,255,257,261,266,
271,277,395,558,602,604,614,620,922,929,947,976,1002,1193,1384],[1,2,4,9,10,
15,22,34,44,59,90,129,227,257,261,266,272,395,604,929,947,995,1385],[1,2,4,7,
9,10,15,27,34,38,41,44,47,57,59,64,65,70,75,90,108,126,128,227,233,234,239,
249,250,252,257,261,266,277,376,558,563,583,584,592,602,604,614,615,642,648,
928,929,938,942,1012,1189,1193,1386],[1,2,4,8,9,10,11,15,17,22,28,33,36,57,64,
74,146,200,230,244,251,255,257,264,271,272,480,572,582,931,932,951,959,964,
1387],[1,2,4,6,9,10,14,15,34,35,44,53,57,59,64,68,69,78,90,142,143,156,227,
238,242,252,254,257,260,261,266,277,436,558,568,575,602,604,609,614,623,627,
634,915,929,946,950,1193,1208,1388],[1,2,4,9,10,11,15,22,34,44,59,64,90,129,
230,244,252,255,261,264,266,272,277,395,614,620,932,934,971,976,995,1389],[1,
2,4,9,10,11,15,22,34,44,57,59,90,129,230,244,257,261,264,266,271,395,602,604,
931,934,947,971,1002,1390],[1,2,4,6,7,9,10,13,15,27,34,35,38,39,44,53,57,59,
64,65,68,70,72,75,78,90,91,107,122,125,227,237,239,250,252,253,254,257,258,
259,261,266,277,375,558,563,565,573,579,583,584,596,597,602,604,613,614,615,
629,634,916,929,954,984,991,1189,1193,1205,1391],[1,2,6,7,9,10,15,35,37,39,41,
53,55,59,65,68,69,72,78,109,114,123,135,227,234,235,236,237,238,254,257,259,
260,261,266,401,565,568,570,597,610,613,623,628,634,635,646,651,929,937,968,
987,1204,1205,1208,1392],[1,4,8,11,12,16,18,22,28,36,66,73,95,226,240,246,251,
256,264,283,619,924,940,953,1011,1393],[1,2,6,7,9,10,15,39,41,49,51,57,59,65,
68,70,72,123,193,194,227,234,237,249,258,261,271,434,558,563,565,570,652,916,
917,922,927,928,1192,1195,1209,1394],[1,4,5,6,9,10,11,14,22,23,29,31,48,58,60,
63,64,67,69,72,88,106,151,181,192,201,208,230,232,242,243,248,255,264,272,275,
279,504,562,564,567,569,580,586,587,589,595,598,608,617,637,638,930,932,963,
1019,1185,1188,1202,1395],[1,2,3,5,6,7,9,10,11,15,21,24,31,32,39,41,45,46,52,
57,58,60,61,62,63,67,69,70,72,123,188,203,205,217,230,244,245,249,257,258,262,
265,267,268,271,273,274,275,276,278,279,333,562,564,567,571,578,600,621,624,
630,631,636,651,652,930,931,941,1027,1198,1203,1206,1396],[1,5,9,10,11,12,56,
58,60,63,67,226,227,228,229,230,559,560,561,564,567,653,654,655,1032,1034,
1212,1397],[1,3,4,5,7,8,12,16,29,30,32,36,40,43,47,48,50,54,56,66,71,80,94,
102,103,117,119,120,134,137,141,151,182,185,187,202,204,206,207,212,213,216,
218,220,221,223,246,270,312,347,366,367,391,394,444,446,450,455,457,476,486,
493,498,513,540,574,591,603,741,750,761,830,867,896,900,997,1021,1107,1279,
1310,1311,1398],[1,2,4,7,8,9,15,16,17,18,20,27,30,33,34,35,38,41,44,47,54,59,
64,65,74,75,87,90,91,92,96,108,116,126,127,128,130,134,143,145,147,149,157,
161,165,169,191,233,234,238,239,250,257,277,296,306,307,310,321,326,331,332,
344,376,381,393,397,398,463,511,526,546,582,604,615,627,642,648,663,742,802,
822,843,863,887,942,966,972,992,1016,1022,1024,1086,1235,1262,1274,1399],[1,2,
3,4,8,10,15,16,17,18,22,33,34,36,40,42,43,44,45,57,61,73,74,76,79,80,82,86,90,
92,96,129,130,154,158,170,180,196,197,200,207,216,219,266,272,278,316,323,325,
329,337,352,356,371,393,395,403,470,481,497,531,533,572,602,607,705,708,712,
758,775,814,979,995,1080,1230,1248,1400],[1,2,4,7,8,12,16,17,20,28,29,30,33,
36,38,41,44,47,54,66,76,93,102,103,120,126,130,134,146,157,161,165,167,169,
182,183,212,213,215,246,256,307,319,335,347,348,361,386,405,461,486,501,506,
513,590,603,632,736,741,744,781,828,948,1021,1166,1245,1279,1296,1401],[1,2,4,
8,12,16,17,27,28,33,35,36,44,66,76,87,91,93,120,128,130,143,145,146,147,246,
256,296,306,336,361,418,460,502,590,603,632,742,827,858,948,1137,1237,1402],[
1,2,4,6,7,8,9,13,14,15,16,17,18,19,27,29,30,33,34,35,38,39,44,53,54,59,64,65,
68,74,75,78,87,90,91,92,96,107,114,115,116,122,124,125,128,130,131,133,142,
143,145,147,156,157,161,167,168,177,179,212,215,237,238,239,250,253,254,257,
259,277,282,287,291,296,298,302,305,306,314,321,336,345,375,381,390,393,397,
398,400,405,418,420,422,427,431,436,464,557,582,596,599,604,610,615,627,629,
634,663,675,731,751,812,816,832,840,858,890,912,950,957,966,967,972,984,992,
998,1016,1125,1226,1235,1264,1270,1294,1403],[1,2,4,8,9,15,16,17,18,22,27,28,
33,34,35,36,44,59,64,73,74,76,79,87,90,91,92,93,95,96,120,128,129,130,143,145,
146,147,200,238,252,255,257,277,288,296,306,321,340,356,361,369,381,393,404,
460,480,481,502,582,604,620,627,663,687,690,722,827,959,992,1008,1013,1016,
1113,1235,1303,1404],[1,2,4,6,9,14,15,22,29,34,35,44,51,53,59,64,69,78,90,117,
129,142,143,156,172,201,215,232,238,241,242,252,255,260,261,277,301,305,340,
395,424,436,462,575,589,609,611,614,620,623,627,647,649,678,681,716,946,949,
976,1008,1009,1015,1028,1091,1256,1280,1288,1405],[1,2,4,7,8,9,15,16,17,18,20,
27,29,30,33,34,38,41,44,47,54,59,64,65,74,75,90,92,96,102,103,108,116,126,127,
128,130,134,145,147,149,157,161,165,167,169,191,212,215,232,233,234,239,257,
277,296,307,310,315,319,326,335,344,376,393,397,405,440,463,506,513,526,546,
555,582,601,604,611,615,648,684,694,711,765,781,822,843,942,966,974,1007,1016,
1024,1117,1239,1274,1304,1406],[1,2,4,6,7,8,10,13,14,15,16,17,18,19,22,27,29,
30,33,34,35,36,38,39,44,53,54,57,70,72,73,74,75,76,78,79,87,89,90,91,92,96,99,
107,116,122,124,125,129,130,133,142,143,147,156,157,161,167,168,177,179,182,
200,201,212,215,258,266,272,285,298,301,302,305,306,334,340,345,356,369,372,
375,390,393,395,397,398,400,403,405,417,422,427,431,436,460,461,481,572,584,
597,602,638,650,669,678,695,700,722,752,753,758,776,890,912,954,990,995,1155,
1242,1248,1249,1407],[1,2,3,4,5,6,7,8,10,14,15,17,19,20,21,22,23,24,28,29,30,
31,32,33,36,39,40,41,42,43,45,46,48,50,52,54,57,60,61,62,67,70,72,74,82,84,85,
86,88,89,94,98,99,104,106,113,121,123,124,127,132,137,146,151,152,153,154,155,
158,162,165,167,171,176,178,181,182,183,185,188,189,190,192,195,196,197,199,
200,201,202,203,204,205,206,207,208,210,213,217,218,220,222,225,245,249,258,
262,265,267,268,271,272,273,274,275,276,278,303,312,313,315,333,350,352,354,
355,357,368,372,373,383,385,386,387,392,396,402,410,414,419,426,428,429,430,
433,435,448,459,465,472,479,480,482,487,492,494,496,497,504,519,523,524,529,
532,535,540,541,543,545,547,554,572,578,600,607,616,617,621,630,631,636,637,
638,650,652,662,665,677,682,683,688,699,740,770,786,790,807,808,809,870,941,
945,955,963,964,970,979,989,990,994,1004,1025,1026,1029,1141,1217,1220,1222,
1233,1240,1250,1286,1408],[1,2,4,7,8,9,15,16,17,18,20,22,27,28,29,30,33,34,35,
36,38,41,44,47,54,59,64,65,73,74,75,76,79,87,90,91,92,93,95,96,108,116,120,
122,126,128,129,130,134,143,145,146,147,157,161,165,167,169,179,182,183,191,
200,212,213,215,233,234,239,250,252,255,257,259,277,286,288,294,296,305,306,
307,326,344,347,348,356,361,376,384,386,390,393,397,398,404,405,427,431,460,
461,463,480,481,501,502,511,526,573,582,592,604,615,620,629,648,672,676,690,
700,707,756,785,827,828,843,890,942,959,966,972,998,1000,1013,1016,1024,1053,
1247,1264,1274,1283,1303,1409],[1,2,4,7,8,10,15,16,17,18,20,22,27,30,33,34,36,
38,41,44,47,54,57,70,73,74,75,76,79,89,90,92,96,108,116,126,127,128,129,130,
134,145,147,149,157,161,165,169,183,191,200,213,249,266,272,285,296,307,310,
326,344,356,369,373,376,393,395,397,398,403,416,463,481,501,502,511,526,572,
584,602,650,676,687,695,715,758,795,802,843,938,989,995,1152,1242,1248,1410],[
1,2,3,4,6,10,14,15,22,24,29,34,35,40,43,44,53,61,62,72,78,82,84,90,129,138,
141,142,143,155,156,158,170,180,190,201,215,218,266,272,273,293,301,305,316,
337,340,363,379,395,436,465,597,607,616,638,678,708,859,893,897,995,1029,1158,
1230,1249,1281,1411],[1,2,4,6,7,8,9,13,14,15,17,18,19,20,25,27,30,33,34,35,36,
37,38,39,41,44,47,53,55,59,64,65,68,69,74,75,76,78,79,81,87,90,91,92,99,100,
103,104,105,107,108,109,110,112,114,115,116,122,123,125,126,128,131,135,139,
142,143,145,147,156,161,168,169,177,179,191,211,233,234,235,236,237,238,250,
252,253,254,257,260,281,282,284,286,287,289,292,294,297,298,308,314,321,326,
331,332,335,336,345,353,356,375,376,381,398,401,406,417,418,422,427,436,437,
442,452,460,463,477,478,515,518,557,575,579,582,599,604,615,618,622,634,635,
646,651,669,689,735,746,748,751,757,763,774,831,840,854,881,892,910,942,950,
967,972,977,984,987,992,1010,1013,1014,1024,1123,1228,1238,1241,1253,1270,
1276,1306,1412],[1,2,4,6,7,8,9,13,15,17,18,19,20,25,26,27,29,33,34,35,36,37,
38,39,41,44,47,53,54,59,64,65,68,69,74,75,76,78,79,81,87,90,91,92,101,102,104,
105,107,108,109,110,111,112,114,115,116,122,123,125,126,128,131,139,143,145,
147,156,157,168,169,177,179,182,191,211,215,231,233,234,236,237,238,239,252,
253,257,259,260,281,282,284,286,287,289,291,292,294,295,297,298,305,319,321,
326,330,331,332,336,341,356,375,376,381,390,397,399,406,407,418,420,422,431,
437,442,443,460,461,463,477,478,573,575,582,604,610,615,622,628,634,640,643,
651,668,675,700,735,748,774,817,832,833,838,839,842,854,885,914,942,966,967,
977,980,984,992,998,1003,1013,1014,1024,1096,1219,1221,1226,1227,1253,1283,
1306,1413],[1,2,3,4,5,7,8,9,15,17,20,27,29,30,33,38,40,42,45,47,48,50,52,63,
64,65,74,75,102,103,117,119,121,127,145,151,152,155,167,169,171,185,191,195,
196,205,232,233,248,257,315,355,392,412,413,428,433,450,454,457,463,495,506,
546,555,571,580,582,601,615,649,730,765,766,767,771,790,891,974,978,1018,1024,
1147,1234,1268,1304,1414],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,28,29,30,
33,34,36,38,39,41,44,47,53,54,59,64,69,73,74,76,79,89,90,92,93,95,96,99,104,
105,120,123,124,125,126,127,129,130,133,134,139,142,146,149,157,161,165,167,
168,169,182,183,200,201,212,213,215,232,242,252,255,257,260,277,284,285,288,
301,307,310,315,334,346,347,348,354,356,358,361,372,373,385,386,388,393,400,
404,405,416,417,437,440,461,480,481,501,582,589,604,609,611,620,651,664,665,
684,690,715,776,799,826,828,959,973,974,1013,1014,1015,1016,1139,1223,1239,
1303,1309,1415],[1,3,4,5,6,7,8,12,13,14,16,21,25,26,30,31,36,37,40,43,48,49,
50,51,54,55,56,66,71,77,80,83,85,94,99,100,101,120,133,138,140,148,149,152,
172,173,176,183,186,190,192,202,204,207,214,216,220,221,246,263,269,270,313,
346,364,365,415,432,445,449,456,474,476,500,512,519,525,534,537,574,591,603,
639,641,721,749,760,860,871,902,906,997,1030,1168,1293,1299,1305,1416],[1,2,4,
6,7,8,9,13,14,15,16,17,18,19,27,29,30,33,34,35,38,39,44,53,54,59,64,65,68,74,
75,78,87,90,91,92,96,107,116,122,124,125,127,128,130,133,142,143,145,147,149,
156,157,161,167,168,177,179,212,215,232,237,239,250,253,254,257,277,291,296,
298,302,306,310,314,315,345,375,393,397,398,400,405,422,431,436,440,511,525,
582,596,604,611,615,634,642,684,802,812,856,861,863,912,950,966,967,972,974,
984,1016,1031,1071,1239,1262,1294,1417],[1,2,3,4,5,6,7,8,9,14,15,17,19,20,21,
22,23,24,28,29,30,31,32,33,36,39,40,41,42,43,45,46,48,50,52,54,63,64,69,74,82,
84,85,86,88,89,94,98,99,104,106,113,121,123,124,127,132,137,146,151,152,153,
154,155,158,162,165,167,171,176,178,181,182,183,185,188,189,190,192,195,196,
197,199,200,201,202,203,204,205,206,207,208,210,213,217,218,220,222,225,232,
242,243,248,255,257,279,303,312,313,315,333,350,352,354,355,357,368,372,373,
383,385,386,387,392,396,402,410,414,419,426,428,429,430,433,435,448,459,465,
472,479,480,482,487,492,494,496,497,504,519,523,524,529,532,535,540,541,543,
545,547,554,569,571,580,582,586,587,589,595,598,651,662,665,677,682,683,688,
699,740,770,786,790,807,808,809,870,959,973,974,978,1005,1019,1027,1141,1218,
1225,1234,1244,1265,1297,1309,1418],[1,2,4,8,10,15,16,17,18,22,28,33,34,36,44,
57,73,74,76,79,90,92,93,95,96,120,129,130,146,200,266,271,272,283,288,356,361,
393,395,403,404,480,481,572,602,690,696,758,964,995,1002,1047,1248,1419],[1,2,
4,6,7,8,9,13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,39,44,53,54,59,64,
65,68,73,74,75,76,78,79,87,89,90,91,92,96,99,107,116,122,124,125,129,130,133,
142,143,147,156,157,161,167,168,177,179,182,200,201,212,215,237,239,250,252,
253,254,257,259,261,277,285,298,301,302,305,306,334,340,345,356,369,372,375,
390,393,395,397,398,400,403,405,417,422,427,431,436,460,461,481,573,579,582,
583,596,604,613,614,615,629,634,669,678,695,700,722,752,753,758,776,890,912,
947,950,966,967,972,984,991,998,1013,1016,1155,1238,1246,1251,1254,1264,1283,
1294,1420],[1,2,3,4,5,7,10,15,22,23,27,30,32,34,38,40,43,44,48,54,62,67,70,75,
82,88,89,90,116,129,144,147,152,157,158,159,161,166,170,180,181,189,198,202,
204,206,222,265,266,272,285,316,337,338,359,362,369,377,378,380,383,395,397,
398,426,584,616,617,650,695,708,739,769,848,898,913,945,995,1177,1214,1242,
1281,1421],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,27,30,33,34,38,39,41,44,47,
53,54,59,64,69,74,90,92,96,104,105,123,124,125,126,127,128,130,133,134,139,
142,145,147,149,157,161,165,168,169,242,250,257,260,277,284,296,307,310,341,
353,354,358,393,398,400,437,511,525,546,582,604,609,642,651,664,802,815,822,
856,972,973,999,1014,1016,1065,1223,1262,1422],[1,2,4,6,7,8,9,13,14,15,16,17,
18,19,22,27,28,30,33,34,35,36,38,39,44,53,54,59,64,65,68,73,74,75,76,78,79,87,
90,91,92,93,95,96,99,107,108,116,120,122,124,125,127,128,129,130,133,142,143,
145,146,147,149,156,157,161,168,177,179,183,191,200,213,237,239,250,252,253,
254,255,257,277,288,289,296,297,298,302,306,310,345,346,356,361,375,385,388,
393,397,398,400,404,417,422,423,427,431,436,460,480,481,501,502,511,526,579,
582,592,596,604,615,620,634,642,669,676,680,690,704,719,756,802,826,827,912,
950,959,966,967,972,983,984,1013,1016,1089,1238,1247,1262,1294,1303,1423],[1,
2,4,6,7,8,12,13,14,16,17,19,25,26,28,30,33,36,37,38,39,44,53,54,55,66,76,81,
93,99,100,101,111,120,124,125,127,130,133,135,142,146,149,150,157,161,168,183,
209,213,246,256,263,269,295,308,310,346,361,385,388,400,417,501,503,525,537,
577,590,594,603,632,721,777,811,826,856,948,1030,1041,1258,1259,1299,1424],[1,
2,3,4,5,8,10,15,16,17,18,22,23,33,34,36,40,43,44,48,50,52,57,61,67,73,74,76,
79,82,88,90,92,94,96,98,118,129,130,136,153,158,166,170,180,181,195,198,200,
220,221,266,272,274,316,320,322,324,328,337,338,339,356,377,393,395,403,419,
481,496,527,553,572,602,607,617,657,661,673,708,739,758,772,994,995,1079,1214,
1230,1248,1425],[1,2,4,8,9,15,16,17,18,29,30,33,34,44,59,64,74,90,92,96,117,
119,127,130,149,161,167,212,215,232,257,277,310,315,366,367,393,405,412,413,
424,440,542,582,604,611,649,684,862,875,888,891,974,1009,1016,1114,1239,1268,
1426],[1,2,3,4,5,8,12,16,17,18,22,23,28,33,34,36,40,43,44,48,50,52,56,66,71,
73,76,79,80,82,88,92,93,94,95,96,98,118,120,129,130,136,146,153,154,158,166,
170,180,181,195,197,198,200,207,216,219,220,221,240,246,270,283,288,316,320,
322,323,324,328,329,337,338,339,351,371,403,404,419,467,476,479,481,496,527,
531,553,574,581,585,590,591,603,619,632,657,696,705,712,747,772,780,814,829,
886,953,961,965,997,1167,1215,1231,1252,1427],[1,2,4,6,7,9,13,14,15,22,25,27,
29,34,35,37,38,39,41,44,47,53,55,59,64,65,68,69,75,78,81,90,91,100,102,107,
108,109,110,112,114,115,122,123,125,126,128,129,135,139,142,143,156,201,215,
231,232,233,234,235,236,237,238,239,242,250,252,253,254,255,259,260,261,277,
281,284,287,291,301,305,308,319,331,336,340,353,375,376,381,384,395,401,420,
423,436,442,452,478,518,570,573,575,579,583,589,592,596,599,601,609,610,611,
613,614,618,620,622,623,626,627,628,629,635,640,642,643,646,648,678,689,717,
725,728,831,832,838,845,939,943,946,949,957,958,968,976,981,982,983,986,991,
993,996,999,1000,1003,1007,1008,1010,1012,1015,1022,1031,1145,1224,1256,1257,
1260,1289,1290,1295,1298,1307,1428],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,25,
26,27,33,34,35,37,38,39,41,44,47,53,54,55,59,64,65,68,69,74,75,78,81,87,90,91,
92,96,100,101,104,105,107,109,110,111,112,114,115,116,122,123,124,125,126,130,
131,133,134,135,139,142,143,147,150,156,157,165,168,169,177,179,209,211,231,
235,236,237,239,242,253,254,257,260,277,281,282,284,287,292,295,298,302,306,
307,308,330,345,354,358,375,393,397,399,400,401,406,407,422,431,436,437,442,
443,452,464,477,478,503,505,515,518,537,582,596,604,609,615,626,634,643,646,
651,664,702,731,757,764,811,831,833,839,852,912,950,958,966,967,973,977,980,
984,987,1014,1016,1108,1223,1227,1271,1276,1294,1429],[1,2,3,4,5,6,7,8,9,13,
14,15,16,17,18,19,20,21,23,24,31,32,33,34,38,39,40,41,42,43,44,45,46,47,48,50,
52,53,54,59,63,64,69,74,84,85,90,92,96,104,105,113,121,123,124,125,126,130,
132,133,134,136,137,138,139,140,142,153,154,157,159,165,168,169,170,178,184,
188,190,192,195,196,198,203,204,205,206,208,210,216,217,219,221,222,223,225,
242,243,248,257,260,277,279,284,299,300,307,333,350,354,358,359,360,363,387,
393,400,428,435,437,438,439,459,466,467,468,470,472,488,493,512,514,516,521,
522,527,529,534,543,545,547,552,556,571,582,586,595,604,605,606,609,651,662,
664,666,679,697,706,718,821,866,870,895,973,978,1005,1006,1014,1016,1027,1044,
1223,1244,1275,1287,1297,1430],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,27,33,
34,35,38,39,41,44,47,53,54,59,64,65,68,74,75,78,87,90,91,92,96,107,108,109,
110,112,116,122,124,125,126,128,130,133,134,142,143,145,147,156,157,165,168,
169,177,179,191,211,233,234,237,238,239,253,254,257,277,281,292,296,298,302,
306,307,321,326,330,331,332,336,341,344,345,353,375,376,381,393,397,400,418,
422,431,436,452,463,505,526,582,596,604,615,627,634,635,640,648,663,668,689,
746,815,842,843,852,858,887,912,939,942,950,966,967,984,992,1016,1024,1126,
1221,1235,1241,1274,1294,1431],[1,2,4,8,9,15,16,17,18,27,29,30,33,34,35,44,59,
64,74,87,90,91,92,96,127,128,130,143,145,147,149,161,167,212,215,238,250,257,
259,277,296,305,306,310,321,336,381,390,393,398,405,418,427,511,555,582,604,
627,629,642,663,711,802,858,861,863,890,972,982,992,998,1016,1119,1235,1262,
1264,1432],[1,2,4,8,9,15,16,17,18,27,29,30,33,34,35,44,59,64,74,87,90,91,92,
96,127,130,143,147,149,161,167,212,215,232,250,257,259,277,305,306,310,315,
390,393,398,405,420,427,440,486,557,582,604,611,629,684,744,816,861,890,972,
974,981,998,1016,1093,1239,1264,1433],[1,2,4,5,6,9,14,15,22,23,29,31,34,35,44,
48,53,59,63,64,69,78,88,90,106,129,142,143,151,156,160,166,181,184,192,198,
201,208,215,232,238,242,243,248,252,255,260,261,277,279,301,305,309,338,340,
360,377,395,436,458,504,569,575,576,580,586,587,588,589,595,598,605,606,609,
611,614,620,623,627,678,739,768,874,904,946,949,952,962,976,1001,1006,1008,
1015,1019,1023,1176,1213,1216,1229,1236,1256,1434],[1,2,4,5,6,10,14,15,22,23,
29,31,34,35,44,48,53,60,67,72,78,88,90,106,129,142,143,151,156,160,166,181,
184,192,198,201,208,215,266,272,275,301,305,309,338,340,360,377,395,436,458,
504,597,617,637,638,678,739,768,874,904,963,995,1176,1214,1249,1284,1435],[1,
2,4,8,11,15,16,17,18,22,28,33,34,36,44,73,74,76,79,90,92,93,95,96,120,129,130,
146,200,244,251,264,283,288,356,361,393,395,403,404,480,481,690,696,758,940,
951,971,1047,1436],[1,2,3,4,5,6,7,8,12,13,14,16,19,23,24,25,26,31,32,33,37,38,
39,40,43,44,48,50,51,52,53,54,55,56,66,71,81,83,84,100,101,111,124,125,130,
133,135,136,138,142,148,150,153,157,159,163,164,168,170,172,174,184,190,192,
193,195,198,204,206,208,209,217,221,222,225,246,263,269,270,295,308,349,359,
360,363,364,370,400,438,449,451,459,462,472,489,500,503,521,527,534,537,539,
550,552,574,577,585,594,632,639,644,679,783,787,793,811,876,878,902,907,961,
1017,1030,1078,1259,1269,1305,1437],[1,2,3,4,5,8,9,15,16,17,18,22,23,28,33,34,
36,40,42,43,44,45,48,50,52,59,63,64,73,74,76,79,80,82,86,88,90,92,93,94,95,96,
98,118,120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,
199,200,205,207,216,219,220,221,243,248,252,255,257,277,288,316,320,324,325,
328,329,338,339,351,352,356,357,361,371,387,389,393,396,404,419,428,466,467,
470,475,476,479,480,481,496,497,517,527,531,533,553,569,571,576,582,587,604,
605,620,688,690,693,701,772,775,780,808,834,847,895,959,962,978,1005,1013,
1016,1088,1218,1225,1232,1275,1303,1438],[1,2,3,4,6,7,8,12,13,14,16,19,21,24,
25,26,33,37,38,39,40,42,43,44,45,46,49,53,54,55,66,71,77,81,84,85,97,100,101,
111,113,124,125,130,132,133,135,137,138,140,142,150,154,157,168,170,173,175,
178,190,194,196,203,209,214,216,219,223,224,246,247,263,269,295,299,300,308,
363,365,400,409,411,415,435,441,445,447,453,468,470,503,512,514,516,536,537,
543,551,577,581,591,594,632,633,641,671,718,749,754,797,801,811,841,903,956,
1020,1030,1182,1259,1293,1301,1439],[1,2,3,4,5,6,7,8,9,13,14,15,17,19,20,21,
24,25,26,27,31,32,33,35,37,38,39,40,41,42,45,46,48,49,50,51,52,53,54,55,63,64,
65,68,69,74,75,77,78,81,83,84,85,87,97,100,101,104,109,110,111,112,113,114,
115,121,123,124,131,132,135,148,150,163,164,165,168,172,173,174,175,177,179,
188,192,193,194,195,196,203,205,206,209,210,211,214,217,224,225,231,235,236,
241,242,248,253,257,279,311,318,333,349,350,354,370,374,401,406,407,409,411,
415,422,428,434,435,441,442,443,449,451,453,464,472,489,503,505,515,520,544,
547,550,551,571,582,586,615,625,626,634,645,647,651,671,738,764,789,818,851,
853,868,870,873,876,944,967,969,973,977,978,980,987,1027,1172,1244,1266,1271,
1300,1308,1440],[1,3,4,6,7,8,12,13,14,16,23,24,25,26,30,36,37,40,42,43,46,49,
51,54,55,66,71,84,86,97,98,99,100,101,113,118,120,133,136,144,149,163,164,172,
173,176,183,184,185,189,190,197,219,222,223,224,246,247,263,269,290,346,364,
365,368,410,447,451,453,473,475,509,514,521,525,537,539,581,585,603,633,644,
692,721,754,783,825,837,871,960,1030,1143,1269,1299,1301,1441],[1,2,3,4,8,12,
16,17,18,22,23,28,33,34,36,40,42,43,44,45,66,71,73,76,79,80,82,86,92,93,95,96,
98,118,120,129,130,136,146,153,154,158,166,170,180,196,197,200,207,216,219,
240,246,247,283,288,316,322,323,324,325,329,337,352,357,371,377,389,403,404,
466,470,475,481,497,531,533,553,581,585,590,591,603,619,632,661,673,696,705,
712,775,829,847,886,953,956,960,988,1136,1215,1231,1442],[1,3,4,7,8,12,16,21,
23,29,30,36,40,42,43,47,54,66,71,85,86,98,102,103,117,118,119,120,134,136,137,
155,159,160,171,182,186,189,197,212,213,218,219,222,246,247,303,347,366,367,
382,408,439,454,475,483,486,491,492,495,499,508,513,581,585,603,741,743,784,
800,823,830,864,960,1021,1066,1279,1292,1302,1443],[1,2,4,8,9,15,16,17,18,22,
28,33,34,36,44,59,64,73,74,76,79,90,92,93,95,96,120,129,130,146,200,252,255,
257,261,277,283,288,356,361,393,395,403,404,480,481,582,604,614,620,690,696,
758,947,959,976,1013,1016,1047,1251,1303,1444],[1,2,3,4,5,6,7,8,9,14,15,17,19,
20,22,23,28,29,30,33,36,39,40,41,42,43,45,48,50,52,54,63,64,69,74,80,88,89,98,
99,104,106,118,121,123,124,127,137,138,140,141,144,146,153,154,158,159,160,
162,165,166,167,176,178,180,182,183,184,186,187,189,190,195,196,197,200,201,
202,204,205,207,208,213,218,220,222,223,232,242,243,248,255,257,290,304,315,
327,342,343,352,354,357,371,372,373,378,379,380,382,385,386,387,391,394,419,
421,425,428,429,430,432,458,459,468,469,471,474,479,480,507,508,509,510,517,
529,530,541,543,545,548,549,552,553,554,556,571,576,582,587,588,589,595,598,
606,651,662,665,688,737,745,762,778,779,786,804,805,806,819,834,866,959,973,
974,978,1005,1023,1173,1218,1232,1261,1265,1287,1297,1309,1445],[1,2,4,6,7,8,
9,13,14,15,16,17,18,19,20,27,29,30,33,34,35,38,39,41,44,47,53,54,59,64,65,69,
74,75,87,90,91,92,96,102,103,104,105,108,109,110,112,116,123,124,125,126,128,
130,133,134,139,142,143,145,147,157,161,165,167,168,169,191,211,212,215,233,
234,239,242,250,257,259,260,277,281,284,291,292,296,305,306,307,314,319,326,
330,331,332,335,344,354,358,376,390,393,397,398,400,405,427,437,452,463,505,
506,513,526,582,604,609,615,618,628,629,648,651,664,763,781,812,838,843,852,
881,885,887,890,942,966,972,973,996,998,1014,1016,1024,1072,1219,1223,1228,
1264,1274,1446],[1,2,4,6,7,9,14,22,23,27,29,34,35,38,41,44,47,51,53,59,64,65,
69,91,102,108,109,110,122,126,129,142,166,172,201,215,232,233,234,239,241,242,
243,250,252,255,259,260,277,301,319,377,384,420,452,462,573,576,589,592,601,
609,611,618,620,628,629,647,648,681,728,874,952,981,996,1000,1007,1015,1028,
1074,1236,1280,1307,1447],[1,2,4,8,9,15,16,17,18,22,27,29,30,33,34,35,36,44,
59,64,73,74,76,79,87,90,91,92,96,127,128,129,130,143,145,147,149,161,167,200,
212,215,250,252,257,259,261,277,296,305,306,310,315,321,356,381,390,393,395,
398,403,405,427,440,481,511,582,604,614,629,642,663,680,684,758,785,802,890,
947,972,986,998,1013,1016,1067,1251,1262,1264,1448],[1,2,4,7,8,9,15,16,17,18,
20,22,27,30,33,34,36,38,41,44,47,54,59,64,65,73,74,75,76,79,89,90,92,96,108,
116,126,127,128,129,130,134,145,147,149,157,161,165,169,183,191,200,213,233,
234,239,250,252,257,261,277,285,296,307,310,326,344,356,369,373,376,393,395,
397,398,403,416,463,481,501,502,511,526,582,583,592,604,614,615,642,648,676,
687,695,715,758,795,802,843,942,947,966,972,1012,1013,1016,1024,1152,1247,
1251,1254,1262,1274,1449],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,27,33,34,
35,36,38,39,41,44,47,53,54,59,64,69,73,74,75,76,78,79,87,90,91,92,96,104,105,
107,108,116,122,123,124,125,126,128,129,130,133,134,139,142,143,145,147,156,
157,165,168,169,177,179,191,200,238,242,252,257,260,261,277,284,286,289,294,
296,297,298,302,306,307,321,326,344,345,354,356,358,375,376,381,384,393,395,
397,400,403,422,423,431,436,437,463,481,526,575,582,604,609,614,623,627,651,
663,664,704,707,717,735,748,758,843,872,912,946,947,973,992,1013,1014,1016,
1050,1223,1235,1251,1278,1306,1450],[1,2,4,8,9,15,16,17,18,22,23,28,33,34,36,
43,44,59,64,73,74,76,79,80,90,92,93,95,96,118,120,129,130,146,153,154,166,180,
200,243,252,255,257,277,288,322,323,337,356,361,371,377,387,393,404,480,481,
517,553,576,582,604,620,673,690,814,834,886,952,959,1005,1013,1016,1116,1232,
1303,1451],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,33,34,38,39,41,44,47,49,51,
53,54,59,64,69,74,90,92,96,104,105,123,124,125,126,130,133,134,139,142,157,
165,168,169,172,173,174,175,193,194,241,242,257,260,277,284,307,354,358,364,
365,370,374,393,400,411,434,437,462,484,536,582,604,609,647,651,664,846,853,
903,907,969,973,1014,1016,1028,1070,1223,1266,1452],[1,2,4,7,8,9,15,17,20,23,
27,29,30,33,38,43,47,64,65,74,75,102,103,117,119,127,141,144,145,153,154,160,
167,169,186,187,191,232,233,243,257,315,387,408,412,413,444,446,463,469,499,
506,546,548,549,555,582,588,601,615,649,732,745,765,884,889,891,909,974,975,
1005,1024,1146,1261,1268,1304,1453],[1,3,4,5,7,8,12,16,29,30,32,36,40,43,47,
48,50,54,56,66,71,80,93,94,102,103,117,119,134,140,141,151,171,178,182,183,
186,197,202,204,206,212,218,219,220,221,246,270,312,327,348,351,366,367,408,
432,444,450,454,455,482,486,488,491,513,574,581,590,691,736,823,864,867,869,
900,965,1021,1133,1296,1302,1310,1454],[1,2,3,4,7,10,15,21,22,27,30,34,38,40,
43,44,54,61,62,70,75,82,85,89,90,116,129,147,157,158,161,162,170,178,180,185,
186,223,266,267,272,280,285,299,316,337,369,395,397,398,421,535,584,607,616,
650,695,708,855,877,879,995,1004,1156,1230,1242,1281,1455],[1,2,3,4,7,10,15,
22,27,30,34,38,40,43,44,46,54,61,62,70,75,82,89,90,113,116,129,137,140,147,
157,158,161,170,171,176,180,187,262,266,272,285,300,316,317,337,369,395,397,
398,523,530,584,607,616,650,695,708,820,857,894,995,1026,1135,1230,1242,1281,
1456],[1,2,4,6,7,9,13,15,22,25,26,27,30,34,35,37,38,39,41,44,47,53,54,59,65,
68,69,75,78,81,89,90,91,101,103,107,108,110,111,112,115,116,122,123,125,126,
128,129,131,139,147,157,161,211,231,234,236,237,238,239,250,257,260,261,282,
284,285,292,295,314,330,332,335,341,369,375,376,381,384,395,397,398,399,418,
423,442,443,477,557,570,583,599,604,615,618,623,634,640,643,651,668,695,717,
724,751,810,833,836,881,942,947,966,972,977,980,984,992,993,1014,1109,1221,
1227,1228,1254,1270,1278,1282,1457],[1,2,3,4,5,8,10,15,16,17,18,22,23,33,34,
36,40,43,44,48,50,52,57,60,62,73,74,76,79,82,88,90,92,94,96,98,118,129,130,
136,153,158,166,170,180,181,195,198,200,220,221,266,272,276,316,320,322,324,
328,337,338,339,356,377,393,395,403,419,481,496,527,553,572,602,616,637,657,
661,673,708,739,758,772,970,995,1079,1248,1281,1284,1458],[1,2,3,4,8,10,15,16,
17,18,22,33,34,36,40,42,43,44,45,57,62,73,74,76,79,80,82,86,90,92,96,129,130,
154,158,170,180,196,197,200,207,216,219,245,266,272,316,323,325,329,337,352,
356,371,393,395,403,470,481,497,531,533,572,602,616,705,708,712,758,775,814,
955,995,1080,1248,1281,1459],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,27,33,
34,35,36,38,39,41,44,47,53,54,59,64,65,68,73,74,75,76,78,79,87,90,91,92,96,
104,105,107,108,116,122,123,124,125,126,128,129,130,133,134,139,142,143,145,
147,156,157,165,168,169,177,179,191,200,233,234,237,239,252,253,254,257,261,
277,284,286,289,294,296,297,298,302,306,307,321,326,344,345,354,356,358,375,
376,381,384,393,395,397,400,403,422,423,431,436,437,463,481,526,570,582,596,
604,614,615,622,634,648,663,664,704,707,717,735,748,758,843,872,912,942,943,
947,950,966,967,984,1013,1016,1024,1050,1251,1253,1274,1282,1294,1460],[1,2,4,
6,7,9,13,14,22,23,25,27,29,34,37,38,39,44,53,55,59,64,65,68,69,81,100,107,108,
117,125,128,129,135,142,166,201,215,231,232,235,236,237,239,242,243,250,252,
253,254,255,260,277,291,301,308,353,377,423,424,576,579,589,592,596,609,611,
620,626,642,643,646,649,716,845,874,952,958,983,999,1009,1015,1031,1101,1236,
1257,1288,1461],[1,2,4,6,7,8,9,13,14,15,17,19,20,23,25,26,27,33,35,37,38,39,
41,43,49,51,53,54,55,64,65,68,69,74,75,78,81,87,100,101,104,109,110,111,112,
114,115,123,124,131,135,138,140,150,153,154,159,165,168,172,173,174,175,177,
179,184,193,194,209,211,223,231,235,236,241,242,243,253,257,354,370,374,387,
401,406,407,411,422,434,442,443,445,447,464,468,500,503,505,515,539,552,556,
582,606,615,626,634,647,651,764,801,853,866,878,880,883,967,969,973,977,980,
985,987,1005,1048,1266,1271,1287,1462],[1,2,4,5,6,7,9,13,14,22,23,25,27,29,31,
34,37,38,39,44,48,51,53,55,59,63,64,65,68,69,81,83,88,100,106,107,108,125,128,
129,135,142,148,151,160,166,172,181,184,192,198,201,208,215,231,232,235,236,
237,239,241,242,243,248,250,252,253,254,255,260,277,279,291,301,308,309,338,
353,360,423,449,458,462,504,539,569,576,579,580,586,587,588,589,592,595,596,
598,605,606,609,611,620,625,626,642,643,645,646,647,681,787,792,845,904,944,
958,962,983,985,999,1001,1006,1015,1019,1023,1028,1031,1111,1213,1255,1257,
1272,1280,1463],[1,2,4,5,6,7,9,14,22,23,27,29,31,34,35,38,41,44,47,48,53,59,
63,64,65,69,88,91,102,106,108,109,110,117,122,126,129,142,151,160,166,181,184,
192,198,201,208,215,232,233,234,239,242,243,248,250,252,255,259,260,277,279,
301,309,319,338,360,384,420,424,450,452,458,499,504,569,573,576,580,586,587,
588,589,592,595,598,601,605,606,609,611,618,620,628,629,648,649,716,728,788,
791,904,962,975,981,996,1000,1001,1006,1007,1009,1015,1018,1019,1023,1085,
1213,1243,1267,1288,1307,1464],[1,2,3,4,8,12,16,29,30,33,40,42,43,44,45,66,71,
117,130,141,154,155,161,162,167,170,171,176,185,186,187,196,212,215,216,218,
219,246,247,280,293,317,355,366,405,412,424,429,469,470,486,490,491,498,581,
591,632,744,759,823,888,896,956,1021,1102,1245,1302,1311,1465],[1,2,3,4,5,8,
12,16,23,29,30,33,40,43,44,48,50,52,56,66,71,106,119,130,136,141,144,151,152,
153,155,160,161,167,170,189,195,198,202,212,215,218,221,246,270,293,309,362,
367,392,405,413,455,483,485,486,527,541,542,549,574,585,632,667,744,784,875,
900,961,1021,1160,1245,1292,1310,1466],[1,2,3,4,5,7,10,15,22,23,27,30,32,34,
38,40,43,44,48,54,60,61,70,75,82,88,89,90,116,129,144,147,152,157,158,159,161,
166,170,180,181,189,198,202,204,206,222,266,268,272,285,316,337,338,359,362,
369,377,378,380,383,395,397,398,426,584,607,637,650,695,708,739,769,848,898,
913,995,1025,1177,1230,1242,1284,1467],[1,2,4,8,12,15,16,17,18,22,28,33,34,36,
44,66,73,74,76,79,90,92,93,95,96,120,129,130,146,200,240,246,256,283,288,356,
361,393,395,403,404,480,481,590,603,619,632,690,696,758,948,953,1011,1047,
1215,1468],[1,2,4,6,7,9,13,14,15,22,25,27,29,34,35,37,38,39,41,44,47,53,55,59,
65,68,69,75,78,81,90,91,100,102,107,108,109,110,112,114,115,122,123,125,126,
128,129,135,139,142,143,156,201,215,234,235,236,237,238,254,257,259,260,261,
281,284,287,291,301,305,308,319,331,336,340,353,375,376,381,384,395,401,420,
423,436,442,452,478,518,570,604,610,613,615,623,628,634,635,646,651,678,689,
717,725,728,831,832,838,845,942,947,950,968,977,984,987,992,998,1014,1145,
1219,1226,1241,1246,1276,1278,1282,1469],[1,3,4,6,7,8,12,13,14,16,21,23,24,25,
26,30,36,37,40,42,43,49,51,54,55,66,71,77,84,85,86,93,98,99,100,101,118,133,
136,140,144,149,162,163,164,171,172,173,184,189,190,207,213,214,216,222,246,
247,263,269,290,364,365,388,389,415,445,451,487,492,507,512,521,525,537,538,
539,585,590,591,641,644,710,749,777,783,825,860,911,988,1030,1150,1258,1269,
1293,1470],[1,3,4,5,6,7,8,12,13,14,16,25,26,30,31,36,37,40,43,46,48,49,50,51,
54,55,56,66,71,80,83,93,94,97,99,100,101,113,133,138,148,149,152,162,172,173,
187,190,192,197,202,204,213,219,220,221,223,224,246,263,269,270,351,364,365,
388,394,447,449,453,500,510,514,519,524,525,528,534,537,574,581,590,633,639,
686,754,777,837,902,906,911,965,1030,1105,1258,1301,1305,1471],[1,2,3,4,5,8,9,
15,16,17,18,23,29,30,33,34,40,42,43,44,45,48,50,52,59,63,64,74,90,92,96,106,
121,127,130,136,141,144,149,151,152,153,154,155,160,161,162,167,170,171,176,
185,186,187,189,195,196,198,202,205,212,215,216,218,219,221,232,243,248,257,
277,280,293,309,310,315,317,355,362,387,392,393,405,428,429,430,433,440,455,
456,466,467,469,470,473,483,485,490,491,498,527,528,538,541,548,549,554,571,
580,582,588,598,604,605,611,656,658,667,684,745,759,782,786,790,849,895,974,
978,1001,1005,1016,1131,1234,1239,1261,1265,1275,1472],[1,2,4,8,9,15,16,17,18,
22,27,29,30,33,34,35,36,44,59,64,73,74,76,79,87,90,91,92,96,127,128,129,130,
143,145,147,149,161,167,200,212,215,232,238,252,257,261,277,296,305,306,310,
315,321,356,381,390,393,395,398,403,405,427,440,481,511,582,604,611,614,627,
663,680,684,758,785,802,890,947,949,974,992,1013,1016,1067,1235,1239,1251,
1473],[1,3,4,7,8,12,16,23,29,30,36,40,42,43,46,47,54,66,71,86,93,98,102,103,
113,117,118,119,134,136,155,159,160,178,182,183,185,187,189,207,212,216,218,
222,246,247,343,348,366,367,368,389,446,457,483,486,494,495,498,499,508,513,
522,585,590,591,714,736,743,750,784,869,896,988,1021,1115,1292,1296,1311,
1474],[1,2,6,7,9,10,11,15,39,41,57,59,65,68,69,70,72,123,227,228,230,234,237,
244,249,257,258,261,266,271,558,562,563,565,568,570,651,652,654,916,921,922,
928,929,931,934,1033,1192,1198,1204,1314,1475],[1,2,6,9,10,11,15,35,53,57,59,
68,69,72,78,227,228,230,238,244,254,257,259,260,261,266,271,558,562,565,568,
597,613,623,634,654,915,921,922,923,929,931,934,1033,1191,1205,1207,1208,1314,
1476],[1,5,6,9,10,11,31,51,55,58,60,63,67,68,69,72,148,227,228,230,235,241,
275,279,559,561,562,564,565,567,568,645,654,917,926,930,937,1033,1034,1194,
1312,1313,1315,1477],[1,2,3,5,9,10,11,15,45,52,57,58,59,60,61,62,63,67,205,
227,228,230,244,245,257,261,266,271,274,276,278,558,559,561,564,566,567,571,
578,600,624,654,918,921,922,929,931,933,934,1034,1199,1200,1203,1206,1314,
1478],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,33,34,35,36,
37,38,39,41,44,47,53,54,55,73,74,75,76,78,79,81,87,89,90,91,92,93,95,96,99,
100,101,102,103,104,105,107,108,109,110,111,112,114,115,116,120,122,123,124,
125,126,127,128,129,130,131,133,134,135,139,142,143,145,146,147,149,150,156,
157,161,165,167,168,169,177,179,182,183,191,200,201,209,211,212,213,215,281,
282,283,284,285,286,287,288,289,291,292,294,295,296,297,298,301,302,305,306,
307,308,310,314,315,319,321,326,330,331,332,334,335,336,340,341,344,345,346,
347,348,353,354,356,358,361,369,372,373,375,376,381,384,385,386,388,390,393,
395,397,398,399,400,401,403,404,405,406,407,416,417,418,420,422,423,427,431,
436,437,440,442,443,452,460,461,463,464,477,478,480,481,486,501,502,503,505,
506,511,513,515,518,525,526,537,546,555,557,663,664,665,668,669,672,675,676,
678,680,684,687,689,690,694,695,696,700,702,704,707,711,715,717,719,721,722,
724,725,728,731,735,736,741,742,744,746,748,751,752,753,756,757,758,763,764,
765,774,776,777,781,785,795,799,802,810,811,812,815,816,817,822,826,827,828,
831,832,833,836,838,839,840,842,843,845,852,854,856,858,861,863,872,881,885,
887,890,892,910,912,914,1037,1041,1047,1050,1051,1053,1056,1057,1060,1062,
1065,1067,1071,1072,1073,1081,1082,1084,1086,1089,1093,1094,1095,1096,1097,
1098,1100,1108,1109,1113,1117,1119,1123,1125,1126,1127,1137,1138,1139,1145,
1152,1155,1166,1316,1317,1318,1319,1321,1325,1339,1352,1362,1479],[1,2,3,4,6,
7,8,13,14,16,17,18,19,20,21,22,23,24,27,28,29,30,33,34,35,36,38,39,40,41,42,
43,44,45,46,47,51,53,54,73,76,79,80,82,84,85,86,87,89,91,92,93,95,96,98,99,
102,103,107,108,109,110,112,113,114,115,118,119,120,122,124,125,126,127,128,
129,130,131,132,133,134,136,137,138,140,141,142,143,145,146,147,149,153,154,
155,157,158,161,162,165,166,167,168,169,170,171,172,174,176,177,178,179,180,
182,183,185,186,187,190,191,193,196,197,200,201,203,207,211,212,213,215,216,
218,219,223,280,281,282,283,285,286,287,288,289,292,293,294,296,297,299,300,
301,303,306,307,310,316,317,318,319,322,323,324,325,327,329,330,331,332,334,
335,336,337,340,345,352,355,357,363,364,367,369,370,371,372,373,377,379,384,
389,390,391,400,403,404,405,408,410,413,416,417,418,420,421,423,427,429,431,
435,446,452,454,457,460,461,462,464,465,466,468,469,470,474,475,481,487,490,
491,494,497,498,501,502,505,506,510,511,512,513,514,516,520,523,525,526,530,
531,533,535,542,543,546,553,557,660,661,670,672,673,674,680,681,682,687,696,
704,705,707,712,713,715,718,719,722,725,727,728,730,731,750,752,753,756,759,
769,773,774,775,776,781,785,795,798,803,810,816,817,819,820,822,824,829,836,
837,847,848,851,852,854,855,856,857,858,859,860,861,863,864,874,875,877,882,
883,884,886,887,892,893,899,907,1037,1042,1051,1054,1057,1059,1068,1073,1074,
1076,1077,1082,1084,1090,1098,1100,1112,1118,1121,1129,1130,1134,1136,1138,
1140,1142,1159,1165,1181,1328,1332,1333,1351,1352,1354,1359,1480],[1,2,3,4,5,
6,7,8,13,14,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,
43,44,48,50,51,52,53,54,55,73,76,79,80,81,82,83,84,88,89,92,93,94,95,96,98,99,
100,101,106,107,108,111,118,119,120,124,125,128,129,130,133,135,136,138,141,
142,144,145,146,147,148,150,151,152,153,154,155,157,158,159,160,161,163,164,
166,167,168,170,172,174,177,180,181,182,184,189,190,191,192,193,195,197,198,
200,201,202,204,206,207,208,209,212,215,216,217,218,219,220,221,222,225,283,
285,288,289,290,291,293,295,296,297,301,308,309,312,314,316,320,322,323,324,
328,329,334,337,338,339,341,342,345,349,351,353,359,360,362,363,364,367,369,
370,371,372,378,379,380,383,390,392,400,402,403,404,405,413,417,419,423,425,
426,438,449,451,455,458,459,461,462,465,467,472,476,479,481,483,485,486,489,
496,500,502,503,504,508,511,519,521,526,527,531,532,534,537,539,541,542,549,
550,552,553,555,657,667,672,679,681,687,696,704,705,709,711,712,713,719,724,
729,732,737,740,742,744,747,752,767,772,776,780,783,784,785,787,792,793,795,
796,811,812,813,814,815,824,829,844,845,855,857,859,875,876,878,879,886,893,
894,898,899,900,902,904,907,910,913,914,1036,1060,1078,1083,1084,1087,1097,
1099,1106,1110,1111,1112,1120,1121,1127,1134,1159,1160,1162,1167,1171,1174,
1175,1179,1328,1337,1353,1355,1358,1362,1367,1481],[1,2,3,4,6,7,8,13,14,16,17,
18,19,21,22,23,24,25,26,27,28,29,30,33,34,36,37,38,39,40,42,43,44,45,46,49,53,
54,55,73,76,77,79,80,81,82,84,85,86,89,92,93,95,96,97,98,99,100,101,107,108,
111,113,117,118,120,124,125,128,129,130,132,133,135,136,137,138,140,141,142,
145,146,147,150,153,154,155,157,158,161,162,166,167,168,170,171,173,175,176,
177,178,180,182,185,186,187,190,191,194,196,197,200,201,203,207,209,212,214,
215,216,218,219,223,224,280,283,285,288,289,291,293,295,296,297,299,300,301,
303,308,314,316,317,322,323,324,325,327,329,334,337,341,345,352,353,355,357,
363,365,366,369,371,372,377,379,389,390,391,400,403,404,405,409,410,411,412,
415,417,421,423,424,429,435,441,445,447,453,461,465,466,468,469,470,474,475,
481,486,487,490,491,494,497,498,502,503,510,511,512,514,516,523,526,530,531,
533,535,536,537,543,551,553,555,659,661,670,671,672,673,674,682,687,696,704,
705,711,712,716,718,719,720,724,727,742,744,749,752,754,759,769,771,773,775,
776,785,795,797,801,811,812,815,819,820,823,829,841,845,847,848,855,857,859,
865,874,877,886,888,889,893,896,903,905,908,910,914,1039,1054,1059,1060,1063,
1064,1075,1084,1090,1097,1101,1102,1103,1127,1128,1134,1136,1140,1142,1151,
1154,1157,1181,1182,1333,1342,1344,1348,1360,1362,1371,1482],[1,2,4,6,7,8,13,
14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,49,51,53,54,73,
74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,117,119,120,122,
123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,156,157,
161,165,167,168,169,172,173,174,175,177,179,182,183,191,193,194,200,201,212,
213,215,283,284,285,286,288,289,294,296,297,298,301,302,305,306,307,310,315,
321,326,334,340,344,345,346,347,348,354,356,358,361,364,365,366,367,369,370,
372,373,374,375,376,381,384,385,386,388,390,393,395,397,398,400,403,404,405,
411,412,413,416,417,422,423,424,427,431,434,436,437,440,460,461,462,463,480,
481,484,501,502,511,526,536,542,663,664,665,669,672,676,678,680,681,684,687,
690,695,696,700,704,707,713,715,716,717,719,720,722,735,748,752,753,756,758,
776,785,795,799,802,824,826,827,828,830,843,846,853,862,865,869,871,872,875,
888,890,891,899,903,907,908,911,912,1043,1047,1050,1053,1061,1067,1070,1082,
1084,1089,1091,1092,1112,1113,1114,1121,1122,1124,1128,1139,1152,1154,1155,
1157,1159,1322,1328,1330,1334,1336,1339,1348,1483],[1,2,3,4,6,7,8,13,14,15,16,
17,18,19,20,21,22,24,25,26,27,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,49,53,54,55,73,74,75,76,77,78,79,80,81,82,84,85,86,87,89,90,91,92,96,97,99,
100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,116,119,122,123,
124,125,126,128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,145,
147,150,154,155,156,157,158,161,162,165,167,168,169,170,171,173,175,176,177,
178,179,180,182,185,186,187,190,191,194,196,197,200,201,203,207,209,211,212,
214,215,216,218,219,223,224,280,281,282,284,285,286,287,289,291,292,293,294,
295,296,297,298,299,300,301,302,303,305,306,307,308,314,316,317,319,321,323,
325,326,327,329,330,331,332,334,335,336,337,340,341,344,345,352,353,354,355,
356,358,363,365,367,369,371,372,375,376,379,381,384,390,391,393,395,397,398,
399,400,401,403,405,406,407,408,409,410,411,413,415,417,418,420,421,422,423,
427,429,431,435,436,437,441,442,443,445,446,447,452,453,454,457,460,461,463,
464,465,468,469,470,474,477,478,481,487,490,491,494,497,498,503,505,506,510,
512,513,514,515,516,518,523,526,530,531,533,535,536,537,542,543,551,557,659,
660,663,664,668,669,670,671,674,675,678,682,689,695,700,702,704,705,707,708,
712,713,717,718,720,722,724,725,727,728,730,731,735,746,748,749,750,751,752,
753,754,757,758,759,763,764,773,774,775,776,781,797,798,801,803,810,811,812,
814,815,816,817,819,820,831,832,833,836,838,839,840,841,842,843,845,852,854,
855,857,858,859,864,865,872,875,877,879,881,882,884,885,887,890,892,893,894,
897,899,903,905,910,912,914,1039,1043,1050,1056,1059,1062,1063,1072,1075,1076,
1077,1080,1092,1096,1097,1100,1103,1108,1109,1110,1112,1118,1123,1125,1126,
1128,1129,1130,1134,1135,1138,1144,1145,1149,1155,1156,1158,1161,1163,1170,
1171,1179,1182,1322,1325,1326,1331,1332,1335,1341,1345,1358,1363,1371,1484],[
1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,33,34,35,36,37,38,
39,41,43,44,47,53,54,55,73,74,75,76,78,79,80,81,87,89,90,91,92,93,95,96,99,
100,101,104,105,107,108,109,110,111,112,114,115,116,117,118,119,120,122,123,
124,125,126,127,128,129,130,131,133,134,135,139,142,143,145,146,147,149,150,
153,154,156,157,161,165,166,167,168,169,177,179,180,182,183,191,200,201,209,
211,212,213,215,281,282,284,285,287,288,289,291,292,295,296,297,298,301,302,
306,307,308,310,314,315,322,323,330,334,337,341,345,346,347,348,353,354,356,
358,361,366,367,371,372,373,375,377,385,386,387,388,393,397,398,399,400,401,
404,405,406,407,412,413,416,417,422,423,424,427,431,436,437,440,442,443,452,
460,461,464,477,478,480,481,501,502,503,505,511,515,517,518,525,526,537,542,
546,553,664,665,669,673,676,680,684,690,702,704,713,715,716,719,721,724,731,
756,757,764,776,777,799,802,811,812,814,815,822,826,827,828,830,831,833,834,
839,845,848,852,856,861,862,863,869,874,875,879,886,888,891,893,894,899,908,
910,912,914,1041,1051,1064,1065,1071,1089,1094,1095,1097,1098,1101,1108,1110,
1112,1114,1116,1124,1139,1140,1157,1171,1179,1180,1317,1334,1356,1358,1359,
1360,1368,1485],[1,2,4,6,7,8,13,14,15,16,17,18,19,20,22,23,27,28,29,30,33,34,
35,36,38,39,41,43,44,47,49,51,53,54,73,74,75,76,79,80,87,89,90,91,92,93,95,96,
99,102,103,104,105,108,109,110,112,116,118,120,122,123,124,125,126,127,128,
129,130,133,134,139,142,143,145,146,147,149,153,154,157,161,165,166,167,168,
169,172,173,174,175,179,180,182,183,191,193,194,200,201,211,212,213,215,281,
284,285,286,288,291,292,294,296,301,305,306,307,310,314,315,319,322,323,326,
330,331,332,334,335,337,344,346,347,348,354,356,358,361,364,365,370,371,372,
373,374,376,377,384,385,386,387,388,390,393,397,398,400,404,405,411,416,417,
420,427,431,434,437,440,452,460,461,462,463,480,481,484,486,501,502,505,506,
511,513,517,526,536,546,553,555,557,664,665,672,673,676,681,684,690,694,700,
707,711,715,720,728,736,741,744,756,763,765,776,781,785,799,810,812,814,816,
817,822,824,826,827,828,834,838,843,846,848,852,853,861,865,871,874,879,881,
885,886,887,890,892,893,894,903,907,911,1037,1042,1053,1070,1072,1074,1081,
1093,1094,1110,1116,1117,1122,1127,1128,1138,1139,1140,1144,1159,1166,1170,
1180,1316,1330,1342,1345,1353,1354,1368,1486],[1,2,3,4,5,6,7,8,13,14,15,16,17,
18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,
47,48,50,52,53,54,73,74,75,76,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,95,
96,98,99,104,105,106,107,108,113,116,118,120,121,122,123,124,125,126,127,128,
129,130,132,133,134,136,137,138,139,140,141,142,143,144,145,146,147,149,151,
152,153,154,155,156,157,158,159,160,161,162,165,166,167,168,169,170,171,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,210,212,213,215,216,217,218,219,
220,221,222,223,225,280,283,284,285,286,288,289,290,293,294,296,297,298,299,
300,301,302,303,304,305,306,307,309,310,312,313,315,316,317,320,321,322,323,
324,325,326,327,328,329,333,334,337,338,339,340,342,343,344,345,346,347,348,
350,351,352,354,355,356,357,358,359,360,361,362,363,368,369,371,372,373,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,396,397,398,400,402,403,404,405,410,414,416,417,419,421,422,423,425,426,
427,428,429,430,431,432,433,435,436,437,438,439,440,448,455,456,458,459,460,
461,463,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,482,483,
485,487,488,490,491,492,493,494,496,497,498,501,502,504,507,508,509,510,511,
512,514,516,517,519,521,522,523,524,526,527,528,529,530,531,532,533,534,535,
538,540,541,543,545,547,548,549,552,553,554,556,656,657,658,661,662,663,664,
665,666,667,669,670,672,673,674,676,677,678,679,680,682,683,684,685,686,687,
688,690,691,692,693,695,696,697,698,699,700,701,703,704,705,706,707,708,709,
710,712,714,715,717,718,719,722,723,726,727,729,733,734,735,737,739,740,745,
747,748,752,753,756,758,759,760,761,762,768,769,770,772,773,775,776,778,779,
780,782,785,786,790,794,795,799,800,802,804,805,806,807,808,809,813,814,819,
820,821,826,827,828,829,834,835,843,844,847,848,849,855,857,859,866,870,872,
874,877,879,886,890,893,894,895,897,898,901,904,912,913,1035,1036,1044,1045,
1047,1050,1052,1053,1054,1059,1067,1069,1079,1080,1082,1083,1084,1088,1089,
1090,1099,1104,1106,1110,1113,1116,1120,1131,1134,1135,1136,1139,1140,1141,
1142,1149,1152,1153,1155,1156,1158,1161,1163,1167,1169,1173,1176,1177,1180,
1181,1326,1327,1333,1337,1338,1339,1346,1361,1364,1366,1368,1487],[1,2,3,4,5,
6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,
40,41,42,43,44,45,46,47,48,50,52,53,54,73,74,75,76,79,80,82,84,85,86,87,88,89,
90,91,92,93,94,95,96,98,99,102,103,104,105,106,108,109,110,112,113,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,136,137,138,
139,140,141,142,143,144,145,146,147,149,151,152,153,154,155,157,158,159,160,
161,162,165,166,167,168,169,170,171,176,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,210,211,212,213,215,216,217,218,219,220,221,222,223,225,280,281,284,285,
286,288,290,291,292,293,294,296,299,300,301,303,304,305,306,307,309,310,312,
313,314,315,316,317,319,320,324,325,326,327,328,329,330,331,332,333,334,335,
338,339,342,343,344,346,347,348,350,351,352,354,355,356,357,358,359,360,361,
362,363,366,367,368,371,372,373,376,378,379,380,382,383,384,385,386,387,388,
389,390,391,392,393,394,396,397,398,400,402,404,405,408,410,412,413,414,416,
417,419,420,421,424,425,426,427,428,429,430,431,432,433,435,437,438,439,440,
444,446,448,450,452,454,455,456,457,458,459,460,461,463,465,466,467,468,469,
470,471,472,473,474,475,476,479,480,481,482,483,485,486,487,488,490,491,492,
493,494,495,496,497,498,499,501,502,504,505,506,507,508,509,510,511,512,513,
514,516,517,519,521,522,523,524,526,527,528,529,530,531,532,533,534,535,538,
540,541,542,543,545,546,547,548,549,552,553,554,555,556,557,656,658,660,662,
664,665,666,667,670,672,674,676,677,679,682,683,684,685,686,688,690,691,692,
693,694,697,698,699,700,701,703,706,707,709,710,711,713,714,715,716,718,723,
726,727,728,729,730,732,733,734,736,737,740,741,743,744,745,750,755,756,759,
760,761,762,763,765,766,767,770,771,772,773,775,776,778,779,780,781,782,784,
785,786,788,790,791,794,798,799,800,803,804,805,806,807,808,809,810,812,813,
816,817,819,820,821,822,823,826,827,828,830,834,835,838,843,844,847,849,850,
852,859,861,862,864,866,867,869,870,875,877,881,882,884,885,887,888,889,890,
891,892,895,896,898,899,900,901,904,908,909,1035,1037,1040,1044,1045,1049,
1052,1053,1058,1059,1066,1069,1072,1076,1077,1081,1083,1085,1088,1093,1094,
1102,1107,1112,1114,1115,1117,1118,1124,1127,1129,1130,1131,1133,1138,1139,
1141,1146,1147,1148,1151,1153,1157,1160,1162,1164,1166,1173,1178,1316,1320,
1332,1334,1344,1347,1357,1361,1367,1369,1372,1488],[1,2,3,4,5,6,7,8,13,14,16,
17,18,19,20,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,47,48,49,
50,52,53,54,73,76,79,80,82,84,87,88,89,91,92,93,94,95,96,98,99,102,103,106,
107,108,109,110,112,114,115,117,118,120,122,124,125,126,127,128,129,130,131,
133,134,136,138,141,142,143,144,145,146,147,149,151,152,153,154,155,157,158,
159,160,161,165,166,167,168,169,170,173,175,177,179,180,181,182,183,184,189,
190,191,192,194,195,197,198,200,201,202,204,206,207,208,211,212,213,215,216,
217,218,219,220,221,222,225,281,282,283,285,286,287,288,289,290,292,293,294,
296,297,301,306,307,309,310,311,312,316,319,320,322,323,324,328,329,330,331,
332,334,335,336,337,338,339,340,342,345,351,359,360,362,363,365,366,369,371,
372,373,378,379,380,383,384,390,392,400,402,403,404,405,411,412,416,417,418,
419,420,423,424,425,426,427,431,438,444,450,452,455,458,459,460,461,464,465,
467,472,476,479,481,483,485,495,496,499,501,502,504,505,506,508,511,513,519,
521,525,526,527,531,532,534,536,541,544,546,549,552,553,557,657,667,672,679,
680,687,696,704,705,707,709,712,715,716,719,720,722,725,728,729,731,737,740,
743,747,752,753,755,756,766,772,774,776,780,781,785,788,791,795,810,813,814,
816,817,822,825,829,836,844,850,852,854,855,856,857,858,859,861,863,865,867,
873,879,880,886,887,888,892,893,894,898,903,904,906,908,909,913,1036,1037,
1051,1055,1057,1058,1073,1082,1083,1084,1085,1098,1099,1100,1106,1110,1120,
1128,1132,1134,1138,1144,1148,1154,1157,1164,1167,1170,1178,1320,1329,1337,
1345,1348,1352,1356,1489],[1,2,3,4,6,7,8,13,14,15,16,17,18,19,21,22,24,27,29,
30,33,34,35,36,38,39,40,42,43,44,45,46,51,53,54,73,74,75,76,78,79,80,82,84,85,
86,87,89,90,91,92,96,99,107,113,114,115,116,117,122,124,125,127,128,129,130,
131,132,133,137,138,140,141,142,143,145,147,149,154,155,156,157,158,161,162,
167,168,170,171,172,174,176,177,178,179,180,182,185,186,187,190,193,196,197,
200,201,203,207,212,215,216,218,219,223,280,282,285,287,291,293,296,298,299,
300,301,302,303,305,306,310,314,315,316,317,318,321,323,325,327,329,334,336,
337,340,345,352,355,356,363,364,366,369,370,371,372,375,379,381,390,391,393,
395,397,398,400,403,405,410,412,417,418,420,421,422,424,427,429,431,435,436,
440,460,461,462,464,465,468,469,470,474,481,486,487,490,491,494,497,498,510,
511,512,514,516,520,523,525,530,531,533,535,543,555,557,663,669,670,674,675,
678,680,681,682,684,695,700,705,708,711,712,716,718,722,727,731,744,751,752,
753,758,759,771,773,775,776,785,802,812,814,816,819,820,823,824,832,837,840,
851,855,856,857,858,859,860,861,863,877,879,883,888,889,890,893,894,896,897,
907,908,912,1059,1061,1067,1068,1071,1073,1080,1091,1093,1098,1102,1110,1119,
1125,1127,1134,1135,1149,1151,1155,1156,1157,1158,1159,1161,1163,1165,1318,
1326,1336,1344,1351,1353,1356,1490],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,22,
23,24,27,29,30,31,32,33,34,35,36,38,39,40,43,44,48,49,50,52,53,54,73,74,75,76,
78,79,82,84,87,88,89,90,91,92,94,96,98,99,106,107,114,115,116,118,119,122,124,
125,127,128,129,130,131,133,136,138,141,142,143,144,145,147,149,151,152,153,
155,156,157,158,159,160,161,166,167,168,170,173,175,177,179,180,181,182,184,
189,190,192,194,195,198,200,201,202,204,206,208,212,215,217,218,220,221,222,
225,282,285,287,290,291,293,296,298,301,302,305,306,309,310,311,312,314,315,
316,320,321,322,324,328,334,336,337,338,339,340,342,345,356,359,360,362,363,
365,367,369,372,375,377,378,379,380,381,383,390,392,393,395,397,398,400,402,
403,405,411,413,417,418,419,420,422,425,426,427,431,436,438,440,455,458,459,
460,461,464,465,472,481,483,485,486,496,504,508,511,519,521,525,527,532,534,
536,541,542,544,549,552,553,555,557,657,661,663,667,669,673,675,678,679,680,
684,695,700,708,709,711,713,720,722,729,731,732,737,739,740,744,751,752,753,
758,767,768,769,772,776,784,785,802,812,813,816,825,832,840,844,848,856,858,
859,861,863,865,873,874,875,880,890,893,897,898,899,900,903,904,906,912,913,
1036,1043,1055,1067,1071,1073,1079,1083,1092,1093,1098,1104,1112,1119,1125,
1127,1128,1132,1140,1142,1155,1158,1160,1162,1169,1176,1177,1318,1322,1329,
1342,1346,1359,1367,1491],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,22,23,24,
25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,47,48,50,51,52,53,54,55,
73,74,75,76,78,79,81,82,83,84,87,88,89,90,91,92,94,96,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,114,115,116,117,118,122,123,124,125,126,
128,129,130,131,133,134,135,136,138,139,141,142,143,144,145,147,148,150,151,
152,153,155,156,157,158,159,160,161,163,164,165,166,167,168,169,170,172,174,
177,179,180,181,182,184,189,190,191,192,193,195,198,200,201,202,204,206,208,
209,211,212,215,217,218,220,221,222,225,281,282,284,285,286,287,289,290,291,
292,293,294,295,296,297,298,301,302,305,306,307,308,309,312,314,316,319,320,
321,322,324,326,328,330,331,332,334,335,336,337,338,339,340,341,342,344,345,
349,353,354,356,358,359,360,362,363,364,366,369,370,372,375,376,377,378,379,
380,381,383,384,390,392,393,395,397,398,399,400,401,402,403,405,406,407,412,
417,418,419,420,422,423,424,425,426,427,431,436,437,438,442,443,444,449,450,
451,452,455,458,459,460,461,462,463,464,465,472,477,478,481,483,485,489,495,
496,499,500,503,504,505,506,508,513,515,518,519,521,526,527,532,534,537,539,
541,549,550,552,553,557,657,661,663,664,667,668,669,673,675,678,679,681,689,
695,700,702,704,707,708,709,716,717,722,724,725,728,729,731,735,737,739,740,
743,746,748,751,752,753,755,757,758,763,764,766,768,769,772,774,776,781,783,
787,788,791,792,793,796,810,811,812,813,815,816,817,824,831,832,833,836,838,
839,840,842,843,844,845,848,850,852,854,858,859,867,872,874,876,878,881,885,
887,888,890,892,893,897,898,902,904,907,908,909,910,912,913,914,1036,1042,
1050,1056,1058,1061,1062,1064,1072,1074,1078,1079,1083,1085,1087,1091,1096,
1097,1100,1101,1104,1108,1109,1111,1123,1125,1126,1138,1140,1142,1145,1148,
1155,1157,1158,1159,1164,1169,1174,1175,1176,1177,1178,1320,1323,1324,1325,
1336,1343,1346,1354,1355,1360,1370,1492],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,104,105,106,107,108,109,110,111,
112,113,114,115,116,118,120,121,122,123,124,125,126,127,128,129,130,131,132,
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,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,280,281,
282,284,285,287,288,289,290,291,292,293,295,296,297,298,299,300,301,302,303,
304,306,307,308,309,310,311,312,313,314,315,316,317,318,320,324,325,327,328,
329,330,333,334,338,339,341,342,343,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,368,370,371,372,373,374,375,378,
379,380,382,383,385,386,387,388,389,391,392,393,394,396,397,398,399,400,401,
402,404,405,406,407,409,410,411,414,415,416,417,419,421,422,423,425,426,427,
428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,445,447,448,
449,451,452,453,455,456,458,459,460,461,462,464,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,480,481,482,483,484,485,487,488,489,490,491,
492,493,494,496,497,498,500,501,502,503,504,505,507,508,509,510,511,512,514,
515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,
534,535,536,537,538,539,540,541,543,544,545,546,547,548,549,550,551,552,553,
554,556,656,658,659,662,664,665,666,667,669,670,671,674,676,677,679,680,681,
682,683,684,685,686,688,690,691,692,693,697,698,699,701,702,703,704,706,709,
710,714,715,718,719,720,721,723,724,726,727,729,731,733,734,737,738,740,745,
749,754,756,757,759,760,761,762,764,770,772,773,775,776,777,778,779,780,782,
783,786,787,789,790,792,793,794,796,797,799,800,801,802,804,805,806,807,808,
809,811,812,813,815,818,819,820,821,822,824,825,826,827,828,831,833,834,835,
837,839,841,844,845,846,847,849,851,852,853,856,859,860,861,863,865,866,868,
870,871,873,876,877,878,880,883,895,898,901,902,903,904,905,906,907,910,911,
912,914,1035,1038,1039,1041,1044,1045,1046,1048,1051,1052,1055,1059,1063,1065,
1068,1069,1070,1071,1075,1078,1083,1087,1088,1089,1094,1095,1097,1098,1103,
1105,1108,1111,1122,1128,1131,1132,1139,1141,1143,1150,1153,1159,1165,1168,
1172,1173,1174,1175,1182,1317,1329,1330,1340,1349,1350,1351,1355,1361,1365,
1371,1493],[1,2,4,6,7,9,10,13,15,22,27,34,35,38,39,41,44,47,53,57,59,64,65,68,
70,72,75,78,90,91,107,108,122,123,125,126,128,129,139,227,233,234,237,239,249,
250,252,253,254,255,257,258,259,261,266,271,277,284,375,376,381,384,395,423,
558,563,565,570,573,579,583,584,592,596,597,602,604,613,614,615,620,622,629,
634,642,648,652,717,916,922,928,929,938,942,943,947,954,976,983,984,986,991,
1000,1002,1012,1189,1192,1193,1205,1273,1282,1290,1384,1386,1391,1494],[1,2,4,
6,7,9,10,13,15,22,27,34,35,38,39,41,44,47,53,59,65,68,69,75,78,90,91,107,108,
122,123,125,126,128,129,139,227,234,237,238,257,260,261,266,272,284,375,376,
381,384,395,423,568,570,604,615,623,634,651,717,929,942,947,984,992,995,1014,
1204,1208,1278,1282,1385,1495],[1,2,3,4,5,8,9,10,11,15,17,22,28,33,36,40,42,
45,48,50,52,57,58,61,63,64,67,74,82,86,94,121,146,181,195,196,199,200,205,230,
244,248,251,255,257,264,271,272,274,278,396,428,480,496,497,567,569,571,572,
582,600,607,608,612,617,624,808,931,932,951,959,964,978,979,994,1202,1206,
1225,1240,1285,1387,1496],[1,2,4,6,9,10,14,15,22,29,34,35,44,53,59,68,72,78,
90,129,142,143,156,201,215,227,254,257,259,261,266,272,301,305,340,395,436,
565,597,604,613,634,638,678,929,947,950,995,998,1205,1246,1249,1385,1497],[1,
2,4,6,7,9,10,13,15,22,27,34,35,38,39,41,44,47,53,57,59,64,65,68,69,75,78,90,
91,107,108,122,123,125,126,128,129,139,227,233,234,237,238,239,250,252,253,
254,255,257,259,260,261,266,271,277,284,375,376,381,384,395,423,558,568,570,
573,579,583,592,596,602,604,613,614,620,622,623,629,642,648,651,717,915,922,
923,929,943,947,976,983,986,991,992,1000,1002,1012,1014,1193,1204,1207,1278,
1290,1375,1376,1384,1498],[1,2,4,6,9,10,11,14,15,22,29,34,35,44,53,59,64,69,
72,78,90,129,142,143,156,201,215,230,232,238,242,244,252,255,260,261,264,266,
272,277,301,305,340,395,436,562,575,589,597,609,611,614,620,623,627,638,678,
932,934,946,949,971,976,995,1008,1015,1185,1191,1249,1256,1389,1499],[1,2,4,5,
9,10,11,15,22,23,34,44,48,59,60,63,64,88,90,129,166,181,198,230,243,244,248,
252,255,261,264,266,272,277,338,377,395,564,569,576,587,605,614,620,637,739,
932,934,952,962,971,976,995,1188,1229,1284,1389,1500],[1,2,3,5,6,7,9,10,15,21,
24,31,32,35,37,39,41,45,46,49,51,52,53,55,57,59,60,61,62,65,67,68,69,70,72,78,
97,109,114,123,135,148,163,188,193,194,203,205,214,217,227,234,235,236,237,
238,245,249,254,258,259,260,261,262,265,267,268,271,273,274,275,276,278,311,
333,349,401,434,520,551,558,559,563,565,566,568,570,578,600,610,613,621,623,
628,630,631,635,636,646,652,818,915,916,917,918,919,920,922,923,925,926,927,
928,933,935,936,937,941,968,1183,1184,1186,1187,1190,1192,1194,1195,1196,1197,
1199,1207,1209,1210,1211,1373,1374,1377,1378,1380,1382,1394,1501],[1,2,4,6,7,
9,10,13,15,27,29,34,35,38,39,41,44,47,53,57,59,64,65,68,69,70,75,90,102,108,
109,112,123,125,126,128,139,143,215,227,232,233,234,237,238,239,249,250,252,
253,254,257,259,260,261,266,277,281,284,291,305,319,331,376,558,563,568,570,
583,584,592,596,601,602,604,611,614,615,622,627,628,635,640,642,648,651,838,
915,923,928,929,938,939,942,943,949,998,1007,1012,1014,1022,1031,1184,1189,
1193,1204,1219,1289,1375,1383,1386,1502],[1,2,4,7,9,10,15,22,27,30,34,38,44,
54,59,65,70,75,89,90,116,129,147,157,161,227,239,250,257,261,266,272,285,369,
395,397,398,563,583,584,604,615,650,695,929,947,966,972,995,1189,1242,1254,
1385,1503],[1,2,4,5,9,10,15,22,23,34,44,48,59,60,67,88,90,129,166,181,198,227,
257,261,266,272,338,377,395,559,604,617,637,739,929,947,995,1214,1284,1385,
1504],[1,2,4,8,9,10,15,16,17,18,22,33,34,36,44,57,59,64,73,74,76,79,90,92,96,
129,130,200,227,252,257,261,266,272,277,356,393,395,403,481,558,572,582,602,
604,614,758,929,947,995,1013,1016,1193,1248,1251,1385,1505],[1,2,4,6,9,10,14,
15,22,29,34,35,44,53,57,59,64,68,69,78,90,129,142,143,156,201,215,227,232,238,
242,252,254,255,257,259,260,261,266,271,277,301,305,340,395,436,558,568,575,
589,602,604,609,611,613,614,620,623,627,634,678,915,922,923,929,946,947,949,
950,976,998,1002,1008,1015,1193,1207,1208,1246,1256,1383,1384,1388,1506],[1,2,
4,5,9,10,11,15,22,23,34,44,48,58,59,63,64,67,88,90,129,166,181,198,230,243,
244,248,252,255,261,264,266,272,277,338,377,395,567,569,576,587,605,608,614,
617,620,739,932,934,952,962,971,976,995,1202,1214,1229,1277,1389,1507],[1,2,4,
6,7,9,10,11,13,15,22,27,34,35,38,39,41,44,47,53,57,59,69,70,72,75,78,90,91,
107,108,122,123,125,126,128,129,139,230,238,244,249,257,258,260,261,264,266,
271,284,375,376,381,384,395,423,562,584,597,602,604,623,651,652,717,931,934,
938,947,954,971,992,1002,1014,1191,1198,1273,1278,1390,1508],[1,4,5,8,11,12,
16,18,22,28,36,43,48,56,58,66,73,95,180,181,220,221,226,240,246,251,256,264,
283,323,339,560,574,608,619,747,924,940,953,1011,1252,1263,1393,1509],[1,2,4,
6,7,9,10,14,15,27,34,35,38,41,44,47,53,57,59,64,65,68,69,70,75,78,90,91,108,
109,110,126,128,142,143,156,227,233,234,238,239,242,249,250,252,254,257,259,
260,261,266,277,331,336,353,376,381,436,452,558,563,568,575,583,584,592,602,
604,609,614,615,618,623,627,628,629,634,635,642,648,689,915,923,928,929,938,
942,946,950,982,986,992,996,999,1012,1022,1184,1189,1193,1208,1241,1298,1376,
1386,1388,1510],[1,2,4,6,7,8,9,10,11,14,15,17,19,20,22,28,29,30,33,36,39,41,
54,57,64,69,70,72,74,89,99,104,123,124,127,146,165,167,182,183,200,201,213,
230,232,242,244,249,251,255,257,258,264,271,272,315,354,372,373,385,386,480,
562,572,582,589,638,650,651,652,665,931,932,951,959,964,973,974,989,990,1185,
1198,1250,1309,1387,1511],[1,2,3,4,9,10,15,22,34,40,43,44,59,61,62,82,90,129,
158,170,180,227,257,261,266,272,316,337,395,566,604,607,616,708,929,947,995,
1230,1281,1385,1512],[1,2,4,6,7,9,10,13,15,27,29,34,35,38,39,44,53,57,59,64,
65,68,70,72,75,78,90,91,107,114,115,122,125,128,143,215,227,232,237,238,239,
250,252,253,254,257,258,259,261,266,277,287,291,305,336,375,381,420,558,563,
565,573,579,583,584,596,597,599,602,604,610,611,613,614,615,627,629,634,642,
832,916,923,929,949,954,957,981,982,984,986,991,992,998,1031,1186,1189,1193,
1205,1226,1260,1376,1383,1391,1513],[1,2,4,6,7,9,10,13,14,15,25,27,34,35,37,
38,39,41,44,47,53,55,57,59,64,65,68,69,70,72,75,78,81,90,91,100,107,109,110,
112,114,115,122,123,125,126,135,139,142,143,156,227,231,233,234,235,236,237,
238,239,242,250,252,253,254,257,258,259,260,261,266,277,281,284,287,308,375,
401,436,442,452,478,518,558,563,565,568,570,573,575,579,583,584,596,597,599,
602,604,609,610,613,614,615,618,622,623,626,627,628,629,634,635,640,643,646,
648,651,831,915,916,929,936,937,939,943,946,950,954,957,958,968,977,984,987,
991,993,996,1003,1010,1014,1187,1189,1193,1204,1205,1208,1224,1276,1375,1379,
1388,1391,1392,1514],[1,2,3,4,5,8,9,10,11,15,17,22,23,28,33,36,40,42,43,45,48,
50,52,57,60,62,63,64,74,88,98,121,146,153,154,158,195,196,197,200,205,207,220,
230,243,244,245,248,251,255,257,264,271,272,276,352,357,387,419,428,479,480,
564,571,572,578,582,587,616,637,688,931,932,951,955,959,964,970,978,1005,1188,
1203,1218,1220,1387,1515],[1,2,4,5,10,11,15,22,23,34,44,48,57,58,60,88,90,129,
166,181,198,228,244,264,266,271,272,338,377,395,561,602,608,637,739,921,971,
995,1002,1277,1284,1381,1516],[1,6,9,10,11,12,55,68,69,72,226,227,228,229,230,
235,263,562,565,568,653,654,655,937,1033,1212,1313,1517],[1,2,3,4,5,6,7,8,10,
13,14,15,16,17,18,19,22,23,24,27,29,30,31,32,33,34,35,36,38,39,40,43,44,48,50,
52,53,54,57,60,61,62,67,70,72,73,74,75,76,78,79,82,84,87,88,89,90,91,92,94,96,
98,99,106,107,116,118,122,124,125,129,130,133,136,138,141,142,143,144,147,151,
152,153,155,156,157,158,159,160,161,166,167,168,170,177,179,180,181,182,184,
189,190,192,195,198,200,201,202,204,206,208,212,215,217,218,220,221,222,225,
258,265,266,268,272,273,274,275,276,285,290,293,298,301,302,305,306,309,312,
316,320,322,324,328,334,337,338,339,340,342,345,356,359,360,362,363,369,372,
375,377,378,379,380,383,390,392,393,395,397,398,400,402,403,405,417,419,422,
425,426,427,431,436,438,455,458,459,460,461,465,472,481,483,485,496,504,508,
519,521,527,532,534,541,549,552,553,572,584,597,602,607,616,617,630,637,638,
650,657,661,667,669,673,678,679,695,700,708,709,722,729,737,739,740,752,753,
758,768,769,772,776,813,844,848,859,874,890,893,897,898,904,912,913,945,954,
963,970,990,994,995,1025,1029,1036,1079,1083,1104,1140,1142,1155,1158,1169,
1176,1177,1214,1230,1242,1248,1249,1281,1284,1286,1346,1407,1411,1421,1425,
1435,1458,1467,1518],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,25,26,27,29,30,
33,34,35,36,37,38,39,41,44,47,53,54,55,59,64,65,68,69,73,74,75,76,78,79,81,87,
89,90,91,92,96,99,100,101,102,103,104,105,107,108,109,110,111,112,114,115,116,
122,123,124,125,126,128,129,130,131,133,134,135,139,142,143,145,147,150,156,
157,161,165,167,168,169,177,179,182,191,200,201,209,211,212,215,231,233,234,
235,236,237,238,239,242,250,252,253,254,257,259,260,261,277,281,282,284,285,
286,287,289,291,292,294,295,296,297,298,301,302,305,306,307,308,314,319,321,
326,330,331,332,334,335,336,340,341,344,345,353,354,356,358,369,372,375,376,
381,384,390,393,395,397,398,399,400,401,403,405,406,407,417,418,420,422,423,
427,431,436,437,442,443,452,460,461,463,464,477,478,481,503,505,506,513,515,
518,526,537,557,570,573,575,579,582,583,596,599,604,609,610,613,614,615,618,
622,623,626,627,628,629,634,635,640,643,646,648,651,663,664,668,669,675,678,
689,695,700,702,704,707,717,722,724,725,728,731,735,746,748,751,752,753,757,
758,763,764,774,776,781,810,811,812,815,816,817,831,832,833,836,838,839,840,
842,843,845,852,854,858,872,881,885,887,890,892,910,912,914,939,942,943,946,
947,950,957,958,966,967,968,972,973,977,980,984,987,991,992,993,996,998,1003,
1010,1013,1014,1016,1024,1050,1056,1062,1072,1096,1097,1100,1108,1109,1123,
1125,1126,1138,1145,1155,1219,1221,1223,1224,1226,1227,1228,1235,1238,1241,
1246,1251,1253,1254,1264,1270,1271,1274,1276,1278,1282,1283,1294,1306,1325,
1403,1412,1413,1420,1429,1431,1446,1450,1457,1460,1469,1519],[1,2,3,4,5,8,11,
15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,58,73,74,76,79,80,82,86,
88,90,92,93,94,95,96,98,118,120,121,129,130,136,146,153,154,158,166,170,180,
181,195,196,197,198,199,200,205,207,216,219,220,221,244,251,264,283,288,316,
320,322,323,324,325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,
393,395,396,403,404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,
531,533,553,608,612,624,657,661,673,688,690,693,696,701,705,708,712,739,747,
758,772,775,780,808,814,829,834,847,886,895,940,951,971,1047,1079,1080,1088,
1116,1136,1167,1263,1277,1285,1366,1436,1520],[1,2,3,4,5,7,8,10,15,16,17,18,
20,21,22,23,27,30,32,33,34,36,38,40,41,42,43,44,45,46,47,48,50,52,54,57,61,62,
67,70,73,74,75,76,79,80,82,85,86,88,89,90,92,94,96,98,108,113,116,118,126,127,
128,129,130,134,136,137,140,144,145,147,149,152,153,154,157,158,159,161,162,
165,166,169,170,171,176,178,180,181,183,185,186,187,188,189,191,195,196,197,
198,200,202,204,206,207,210,213,216,219,220,221,222,223,245,249,262,265,266,
267,272,274,280,285,296,299,300,304,307,310,313,316,317,320,322,323,324,325,
326,328,329,337,338,339,343,344,350,352,356,359,362,368,369,371,373,376,377,
378,380,382,383,393,394,395,397,398,403,414,416,419,421,426,430,432,433,439,
448,456,463,470,471,473,481,482,488,492,493,496,497,501,502,507,509,511,522,
523,524,526,527,528,529,530,531,533,535,538,540,545,548,553,554,556,572,584,
602,607,616,617,636,650,656,657,661,666,673,676,677,683,687,695,698,703,705,
708,712,715,723,726,733,734,739,758,769,772,775,778,779,795,802,814,820,843,
848,855,857,877,879,894,898,913,938,945,955,989,994,995,1004,1026,1054,1069,
1079,1080,1090,1099,1106,1120,1135,1152,1156,1177,1180,1181,1214,1230,1233,
1242,1248,1281,1327,1410,1421,1425,1455,1456,1459,1521],[1,2,3,4,5,8,9,15,16,
17,18,23,27,29,30,33,34,35,40,42,43,44,45,48,50,52,59,63,64,74,87,90,91,92,96,
106,117,119,121,127,130,136,141,143,144,147,149,151,152,153,154,155,160,161,
162,167,170,171,176,185,186,187,189,195,196,198,202,205,212,215,216,218,219,
221,232,243,248,250,257,259,277,280,293,305,306,309,310,315,317,355,362,366,
367,387,390,392,393,398,405,412,413,420,424,427,428,429,430,433,440,455,456,
466,467,469,470,473,483,485,486,490,491,498,527,528,538,541,542,548,549,554,
557,571,580,582,588,598,604,605,611,629,649,656,658,660,667,684,744,745,755,
759,782,784,786,790,791,803,816,823,849,861,862,875,888,890,891,895,896,900,
972,974,978,981,998,1001,1005,1009,1016,1093,1102,1114,1129,1131,1160,1178,
1234,1239,1261,1264,1265,1267,1268,1275,1357,1426,1433,1472,1522],[1,2,3,4,5,
6,7,8,9,13,14,15,16,17,18,19,20,21,23,24,27,30,31,32,33,34,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,59,63,64,69,74,84,85,90,92,96,104,105,113,
121,123,124,125,126,127,128,130,132,133,134,136,137,138,139,140,142,145,147,
149,153,154,157,159,161,165,168,169,170,172,173,174,175,178,184,188,190,192,
193,194,195,196,198,203,204,205,206,208,210,216,217,219,221,222,223,225,241,
242,243,248,250,257,260,277,279,284,296,299,300,307,310,333,341,350,353,354,
358,359,360,363,364,365,370,374,387,393,398,400,411,428,434,435,437,438,439,
459,462,466,467,468,470,472,484,488,493,511,512,514,516,521,522,525,527,529,
534,536,543,545,546,547,552,556,571,582,586,595,604,605,606,609,642,647,651,
659,662,664,666,679,697,706,718,792,796,802,815,821,822,825,837,846,853,856,
860,866,870,895,903,905,906,907,969,972,973,978,999,1005,1006,1014,1016,1027,
1028,1039,1044,1065,1068,1070,1132,1175,1223,1244,1262,1266,1272,1275,1287,
1297,1349,1422,1430,1452,1523],[1,2,3,4,5,7,8,12,16,17,20,21,23,28,29,30,32,
33,36,38,40,41,42,43,44,45,46,47,48,50,52,54,56,66,71,76,80,85,86,93,94,98,
102,103,106,113,117,118,119,120,121,126,130,134,136,137,140,141,144,146,151,
152,153,154,155,157,159,160,161,162,165,167,169,170,171,176,178,182,183,185,
186,187,188,189,195,196,197,198,199,202,204,206,207,210,212,213,215,216,218,
219,220,221,222,223,246,247,256,270,280,293,299,300,303,304,307,309,312,313,
317,319,320,325,327,335,342,343,347,348,350,351,355,357,359,361,362,366,367,
368,382,386,389,391,392,394,396,405,408,412,413,414,424,429,432,439,444,446,
448,450,454,455,457,461,469,470,471,475,476,479,482,483,485,486,488,490,491,
492,493,494,495,498,499,501,506,507,508,509,513,517,522,524,527,529,532,540,
541,542,545,549,556,574,581,585,590,591,593,603,632,666,667,670,691,693,699,
709,714,723,726,730,736,741,743,744,750,759,761,766,770,781,784,788,798,800,
804,806,823,828,830,835,850,864,867,869,875,882,884,888,896,900,901,909,948,
956,960,961,965,988,997,1021,1035,1066,1102,1107,1115,1118,1124,1133,1148,
1160,1166,1245,1279,1291,1292,1296,1302,1310,1311,1372,1398,1401,1443,1454,
1465,1466,1474,1524],[1,2,3,4,5,7,8,10,15,16,17,18,20,21,22,23,27,30,32,33,34,
36,38,40,41,42,43,44,45,46,47,48,50,52,54,57,60,61,62,70,73,74,75,76,79,80,82,
85,86,88,89,90,92,94,96,98,108,113,116,118,126,127,128,129,130,134,136,137,
140,144,145,147,149,152,153,154,157,158,159,161,162,165,166,169,170,171,176,
178,180,181,183,185,186,187,188,189,191,195,196,197,198,200,202,204,206,207,
210,213,216,219,220,221,222,223,249,262,266,267,268,272,276,278,280,285,296,
299,300,304,307,310,313,316,317,320,322,323,324,325,326,328,329,337,338,339,
343,344,350,352,356,359,362,368,369,371,373,376,377,378,380,382,383,393,394,
395,397,398,403,414,416,419,421,426,430,432,433,439,448,456,463,470,471,473,
481,482,488,492,493,496,497,501,502,507,509,511,522,523,524,526,527,528,529,
530,531,533,535,538,540,545,548,553,554,556,572,584,602,607,616,621,637,650,
656,657,661,666,673,676,677,683,687,695,698,703,705,708,712,715,723,726,733,
734,739,758,769,772,775,778,779,795,802,814,820,843,848,855,857,877,879,894,
898,913,938,970,979,989,995,1004,1025,1026,1054,1069,1079,1080,1090,1099,1106,
1120,1135,1152,1156,1177,1180,1181,1217,1230,1242,1248,1281,1284,1327,1400,
1410,1455,1456,1458,1467,1525],[1,2,3,4,6,7,8,10,13,14,15,16,17,18,19,21,22,
24,27,29,30,33,34,35,36,38,39,40,42,43,44,45,46,53,54,57,61,62,70,72,73,74,75,
76,78,79,80,82,84,85,86,87,89,90,91,92,96,99,107,113,116,122,124,125,129,130,
132,133,137,138,140,141,142,143,147,154,155,156,157,158,161,162,167,168,170,
171,176,177,178,179,180,182,185,186,187,190,196,197,200,201,203,207,212,215,
216,218,219,223,245,258,262,266,267,272,273,278,280,285,293,298,299,300,301,
302,303,305,306,316,317,323,325,327,329,334,337,340,345,352,355,356,363,369,
371,372,375,379,390,391,393,395,397,398,400,403,405,410,417,421,422,427,429,
431,435,436,460,461,465,468,469,470,474,481,487,490,491,494,497,498,510,512,
514,516,523,530,531,533,535,543,572,584,597,602,607,616,631,638,650,669,670,
674,678,682,695,700,705,708,712,718,722,727,752,753,758,759,773,775,776,814,
819,820,855,857,859,877,879,890,893,894,897,912,954,955,979,990,995,1004,1026,
1029,1059,1080,1110,1134,1135,1149,1155,1156,1158,1161,1163,1222,1230,1242,
1248,1249,1281,1326,1400,1407,1411,1455,1456,1459,1526],[1,2,4,6,7,8,9,13,14,
15,16,17,18,19,20,22,27,29,30,33,34,35,36,38,39,41,44,47,53,54,59,64,65,69,73,
74,75,76,78,79,87,89,90,91,92,96,102,103,104,105,107,108,109,110,112,116,122,
123,124,125,126,127,128,129,130,133,134,139,142,143,145,147,149,156,157,161,
165,167,168,169,177,179,183,191,200,211,212,213,215,233,234,238,239,242,250,
252,257,259,260,261,277,281,284,285,286,289,291,292,294,296,297,298,302,305,
306,307,310,314,315,319,321,326,330,331,332,335,336,341,344,345,353,354,356,
358,369,373,375,376,381,384,390,393,395,397,398,400,403,405,416,418,422,423,
427,431,436,437,440,452,463,481,501,502,505,506,511,513,525,526,546,555,575,
582,583,592,604,609,614,615,618,623,627,628,629,642,648,651,663,664,668,676,
680,684,687,689,694,695,704,707,711,715,717,735,742,746,748,758,763,765,781,
785,795,802,812,815,822,838,842,843,852,856,858,861,863,872,881,885,887,890,
912,942,946,947,966,972,973,982,986,992,996,998,999,1012,1013,1014,1016,1022,
1024,1037,1050,1051,1057,1060,1065,1067,1071,1072,1086,1117,1119,1126,1152,
1219,1223,1228,1235,1247,1251,1254,1262,1264,1274,1278,1298,1306,1319,1399,
1422,1432,1446,1448,1449,1450,1527],[1,2,3,4,5,7,8,9,15,16,17,18,20,23,27,29,
30,33,34,38,40,41,42,43,44,45,47,48,50,52,54,59,63,64,65,74,75,90,92,96,102,
103,106,108,116,117,119,121,126,127,128,130,134,136,141,144,145,147,149,151,
152,153,154,155,157,160,161,162,165,167,169,170,171,176,185,186,187,189,191,
195,196,198,202,205,212,215,216,218,219,221,232,233,234,239,243,248,257,277,
280,293,296,307,309,310,315,317,319,326,335,344,355,362,366,367,376,387,392,
393,397,405,408,412,413,424,428,429,430,433,440,444,446,450,454,455,456,457,
463,466,467,469,470,473,483,485,490,491,495,498,499,506,513,526,527,528,538,
541,542,546,548,549,554,555,571,580,582,588,598,601,604,605,611,615,648,649,
656,658,667,684,694,711,730,732,743,745,750,759,765,766,767,771,781,782,786,
788,790,798,822,843,849,850,862,864,867,875,882,884,888,889,891,895,909,942,
966,974,975,978,1001,1005,1007,1009,1016,1018,1024,1040,1049,1114,1117,1118,
1131,1146,1147,1148,1151,1162,1234,1239,1243,1261,1265,1268,1274,1275,1304,
1347,1406,1414,1426,1453,1472,1528],[1,2,3,4,5,6,7,8,12,13,14,16,17,19,21,23,
24,25,26,28,30,31,32,33,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,
56,66,71,76,77,80,81,83,84,85,86,93,94,97,98,99,100,101,111,113,118,120,121,
124,125,127,130,132,133,135,136,137,138,140,142,144,146,148,149,150,152,153,
154,157,159,161,162,163,164,168,170,171,172,173,174,175,176,178,183,184,185,
186,187,189,190,192,193,194,195,196,197,198,199,202,203,204,206,207,208,209,
213,214,216,217,219,220,221,222,223,224,225,246,247,256,263,269,270,280,290,
295,299,300,304,308,310,313,317,320,325,343,346,349,351,357,359,360,361,362,
363,364,365,368,370,382,385,388,389,394,396,400,402,409,410,411,414,415,417,
425,430,432,433,435,438,441,445,447,448,449,451,453,456,459,462,468,470,471,
472,473,474,475,476,479,482,487,489,492,500,501,503,507,509,510,512,514,516,
517,519,521,524,525,527,528,534,536,537,538,539,540,543,548,550,551,552,554,
574,577,581,585,590,591,593,594,603,632,633,639,641,644,656,671,679,685,686,
692,693,710,718,721,723,726,727,749,754,760,762,777,783,787,793,794,797,801,
805,807,809,811,825,826,837,841,844,856,860,871,876,878,902,903,906,907,911,
948,956,960,961,965,988,997,1017,1020,1030,1041,1045,1068,1078,1105,1122,1132,
1143,1150,1168,1182,1258,1259,1269,1291,1293,1299,1301,1305,1340,1416,1424,
1437,1439,1441,1470,1471,1529],[1,2,3,4,5,8,10,15,16,17,18,22,23,28,33,34,36,
40,42,43,44,45,48,50,52,57,60,62,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,
118,120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,
200,205,207,216,219,220,221,245,266,271,272,276,283,288,316,320,322,323,324,
325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,
404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,533,553,572,
578,602,616,637,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,
775,780,808,814,829,834,847,886,895,955,964,970,995,1002,1047,1079,1080,1088,
1116,1136,1167,1220,1248,1281,1284,1366,1419,1458,1459,1530],[1,2,4,6,7,8,9,
13,14,15,16,17,18,19,20,22,28,29,30,33,34,36,38,39,41,44,47,49,51,53,54,59,64,
69,73,74,76,79,89,90,92,93,95,96,99,104,105,120,123,124,125,126,127,129,130,
133,134,139,142,146,149,157,161,165,167,168,169,172,173,174,175,182,183,193,
194,200,201,212,213,215,232,241,242,252,255,257,260,277,284,285,288,301,307,
310,315,334,346,347,348,354,356,358,361,364,365,370,372,373,374,385,386,388,
393,400,404,405,411,416,417,434,437,440,461,462,480,481,484,501,536,582,589,
604,609,611,620,647,651,664,665,681,684,690,715,720,776,799,824,826,828,846,
853,865,871,903,907,911,959,969,973,974,1013,1014,1015,1016,1028,1070,1122,
1128,1139,1159,1223,1239,1266,1280,1303,1309,1330,1415,1452,1531],[1,2,3,4,5,
8,9,15,16,17,18,22,23,27,28,33,34,35,36,40,42,43,44,45,48,50,52,59,63,64,73,
74,76,79,80,82,86,87,88,90,91,92,93,94,95,96,98,118,120,121,128,129,130,136,
143,145,146,147,153,154,158,166,170,180,181,195,196,197,198,199,200,205,207,
216,219,220,221,238,243,248,252,255,257,277,288,296,306,316,320,321,322,323,
324,325,328,329,337,338,339,340,351,352,356,357,361,369,371,377,381,387,389,
393,396,404,419,428,460,466,467,470,475,476,479,480,481,496,497,502,517,527,
531,533,553,569,571,576,582,587,604,605,620,627,663,673,687,688,690,693,701,
722,768,769,772,775,780,808,814,827,834,847,855,857,886,895,897,913,952,959,
962,978,992,1005,1008,1013,1016,1088,1099,1113,1116,1149,1169,1181,1216,1218,
1225,1232,1235,1275,1303,1364,1404,1438,1451,1532],[1,2,4,6,7,8,9,13,14,15,16,
17,18,19,20,22,27,29,30,33,34,35,36,38,39,41,44,47,53,54,59,64,65,68,73,74,75,
76,78,79,87,89,90,91,92,96,102,103,104,105,107,108,109,110,112,116,122,123,
124,125,126,127,128,129,130,133,134,139,142,143,145,147,149,156,157,161,165,
167,168,169,177,179,183,191,200,211,212,213,215,232,233,234,237,238,239,250,
252,253,254,257,261,277,281,284,285,286,289,291,292,294,296,297,298,302,305,
306,307,310,314,315,319,321,326,330,331,332,335,336,341,344,345,353,354,356,
358,369,373,375,376,381,384,390,393,395,397,398,400,403,405,416,418,422,423,
427,431,436,437,440,452,463,481,501,502,505,506,511,513,525,526,546,555,570,
582,583,592,596,601,604,611,614,615,622,627,634,635,640,642,648,663,664,668,
676,680,684,687,689,694,695,704,707,711,715,717,735,742,746,748,758,763,765,
781,785,795,802,812,815,822,838,842,843,852,856,858,861,863,872,881,885,887,
890,912,939,942,943,947,949,950,966,967,972,974,984,992,1007,1012,1013,1016,
1022,1024,1031,1037,1050,1051,1057,1060,1065,1067,1071,1072,1086,1117,1119,
1126,1152,1221,1235,1239,1241,1247,1251,1253,1254,1262,1274,1282,1289,1294,
1304,1319,1399,1406,1417,1431,1449,1460,1473,1533],[1,2,4,6,7,8,9,13,14,15,16,
17,18,19,20,22,23,28,29,30,33,34,36,38,39,41,43,44,47,53,54,59,64,69,73,74,76,
79,80,89,90,92,93,95,96,99,104,105,118,120,123,124,125,126,127,129,130,133,
134,139,142,146,149,153,154,157,161,165,166,167,168,169,180,182,183,200,201,
212,213,215,232,242,243,252,255,257,260,277,284,285,288,301,307,310,315,322,
323,334,337,346,347,348,354,356,358,361,371,372,373,377,385,386,387,388,393,
400,404,405,416,417,437,440,461,480,481,501,517,553,576,582,589,604,609,611,
620,651,664,665,673,684,690,715,776,799,814,826,828,834,848,874,879,886,893,
894,952,959,973,974,1005,1013,1014,1015,1016,1110,1116,1139,1140,1180,1223,
1232,1236,1239,1303,1309,1368,1415,1451,1534],[1,2,4,6,7,8,9,13,14,15,16,17,
18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,59,64,65,68,73,74,75,
76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,122,123,124,125,
126,127,128,129,130,133,134,139,142,143,145,146,147,149,156,157,161,165,167,
168,169,177,179,182,183,191,200,201,212,213,215,233,234,237,239,250,252,253,
254,255,257,259,261,277,283,284,285,286,288,289,294,296,297,298,301,302,305,
306,307,310,315,321,326,334,340,344,345,346,347,348,354,356,358,361,369,372,
373,375,376,381,384,385,386,388,390,393,395,397,398,400,403,404,405,416,417,
422,423,427,431,436,437,440,460,461,463,480,481,501,502,511,526,570,573,579,
582,583,592,596,604,613,614,615,620,622,629,634,642,648,663,664,665,669,672,
676,678,680,684,687,690,695,696,700,704,707,715,717,719,722,735,748,752,753,
756,758,776,785,795,799,802,826,827,828,843,872,890,912,942,943,947,950,959,
966,967,972,976,983,984,986,991,998,1000,1012,1013,1016,1024,1047,1050,1053,
1067,1082,1084,1089,1113,1139,1152,1155,1238,1246,1247,1251,1253,1254,1262,
1264,1274,1282,1283,1290,1294,1303,1339,1409,1420,1423,1444,1448,1449,1460,
1535],[1,2,3,4,5,8,9,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,59,
63,64,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,130,136,
146,153,154,158,166,170,180,181,195,196,197,198,199,200,205,207,216,219,220,
221,243,248,252,255,257,261,277,283,288,316,320,322,323,324,325,328,329,337,
338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,404,419,428,466,
467,470,475,476,479,480,481,496,497,517,527,531,533,553,569,571,576,582,587,
604,605,614,620,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,
775,780,808,814,829,834,847,886,895,947,952,959,962,976,978,1005,1013,1016,
1047,1079,1080,1088,1116,1136,1167,1218,1225,1229,1232,1251,1275,1303,1366,
1438,1444,1451,1536],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,23,24,25,
26,27,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
59,63,64,65,68,69,74,75,77,78,81,83,84,85,87,90,91,92,96,97,100,101,104,105,
107,109,110,111,112,113,114,115,116,121,122,123,124,125,126,130,131,132,133,
134,135,136,137,138,139,140,142,143,147,148,150,153,154,156,157,159,163,164,
165,168,169,170,172,173,174,175,177,178,179,184,188,190,192,193,194,195,196,
198,203,204,205,206,208,209,210,211,214,216,217,219,221,222,223,224,225,231,
235,236,237,239,241,242,243,248,253,254,257,260,277,279,281,282,284,287,292,
295,298,299,300,302,306,307,308,311,318,330,333,345,349,350,354,358,359,360,
363,364,365,370,374,375,387,393,397,399,400,401,406,407,409,411,415,422,428,
431,434,435,436,437,438,439,441,442,443,445,447,449,451,452,453,459,462,464,
466,467,468,470,472,477,478,484,488,489,493,500,503,505,512,514,515,516,518,
520,521,522,527,529,534,536,537,539,543,544,545,547,550,551,552,556,571,582,
586,595,596,604,605,606,609,615,625,626,634,643,645,646,647,651,662,664,666,
671,679,697,702,706,718,731,738,749,754,757,764,783,787,789,793,797,801,811,
818,821,831,833,839,841,846,851,852,853,866,868,870,873,876,878,880,883,895,
902,903,907,912,944,950,958,966,967,969,973,977,978,980,984,985,987,1005,1006,
1014,1016,1027,1028,1038,1044,1046,1048,1055,1070,1078,1108,1165,1172,1182,
1223,1227,1244,1255,1266,1271,1275,1276,1287,1294,1297,1300,1308,1350,1429,
1430,1440,1452,1462,1537],[1,2,3,4,5,8,10,15,16,17,18,22,23,28,33,34,36,40,42,
43,44,45,48,50,52,57,61,67,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,
120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,200,
205,207,216,219,220,221,266,271,272,274,278,283,288,316,320,322,323,324,325,
328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,404,
419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,533,553,572,600,
602,607,617,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,775,
780,808,814,829,834,847,886,895,964,979,994,995,1002,1047,1079,1080,1088,1116,
1136,1167,1214,1230,1240,1248,1366,1400,1419,1425,1538],[1,2,4,6,7,8,12,13,14,
16,17,18,19,22,25,26,27,28,29,30,33,34,36,37,38,39,44,53,54,55,66,73,76,79,81,
89,92,93,95,96,99,100,101,107,108,111,120,124,125,128,129,130,133,135,142,145,
146,147,150,157,161,167,168,177,182,191,200,201,209,212,215,240,246,263,269,
283,285,288,289,291,295,296,297,301,308,314,334,341,345,353,369,372,390,400,
403,404,405,417,423,461,481,486,502,503,511,526,537,555,577,590,594,603,619,
632,672,687,696,704,711,719,724,742,744,752,776,785,795,811,812,815,845,910,
914,953,1021,1030,1060,1084,1097,1127,1215,1237,1245,1259,1362,1539],[1,2,4,6,
7,8,9,13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,
59,64,69,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,
122,123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,156,
157,161,165,167,168,169,177,179,182,183,191,200,201,212,213,215,232,238,242,
252,255,257,260,261,277,283,284,285,286,288,289,294,296,297,298,301,302,305,
306,307,310,315,321,326,334,340,344,345,346,347,348,354,356,358,361,369,372,
373,375,376,381,384,385,386,388,390,393,395,397,398,400,403,404,405,416,417,
422,423,427,431,436,437,440,460,461,463,480,481,501,502,511,526,575,582,589,
604,609,611,614,620,623,627,651,663,664,665,669,672,676,678,680,684,687,690,
695,696,700,704,707,715,717,719,722,735,748,752,753,756,758,776,785,795,799,
802,826,827,828,843,872,890,912,946,947,949,959,973,974,976,992,1008,1013,
1014,1015,1016,1047,1050,1053,1067,1082,1084,1089,1113,1139,1152,1155,1223,
1235,1239,1251,1256,1278,1303,1306,1309,1339,1404,1415,1444,1450,1473,1540],[
1,2,3,4,5,8,12,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,56,66,71,
73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,130,136,146,153,
154,158,166,170,180,181,195,196,197,198,199,200,205,207,216,219,220,221,240,
246,247,256,270,283,288,316,320,322,323,324,325,328,329,337,338,339,351,352,
356,357,361,371,377,387,389,393,395,396,403,404,419,428,466,467,470,475,476,
479,480,481,496,497,517,527,531,533,553,574,581,585,590,591,593,603,619,632,
657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,775,780,808,814,
829,834,847,886,895,948,953,956,960,961,965,988,997,1011,1047,1079,1080,1088,
1116,1136,1167,1215,1231,1252,1291,1366,1427,1442,1468,1541],[1,2,3,4,5,6,7,8,
9,13,14,15,16,17,18,19,20,21,22,23,24,28,29,30,31,32,33,34,36,38,39,40,41,42,
43,44,45,46,47,48,50,52,53,54,59,63,64,69,73,74,76,79,80,82,84,85,86,88,89,90,
92,93,94,95,96,98,99,104,105,106,113,118,120,121,123,124,125,126,127,129,130,
132,133,134,136,137,138,139,140,141,142,144,146,149,151,152,153,154,155,157,
158,159,160,161,162,165,166,167,168,169,170,171,176,178,180,181,182,183,184,
185,186,187,188,189,190,192,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,210,212,213,215,216,217,218,219,220,221,222,223,225,232,242,243,248,
252,255,257,260,277,279,280,284,285,288,290,293,299,300,301,303,304,307,309,
310,312,313,315,316,317,320,324,325,327,328,329,333,334,338,339,342,343,346,
347,348,350,351,352,354,355,356,357,358,359,360,361,362,363,368,371,372,373,
378,379,380,382,383,385,386,387,388,389,391,392,393,394,396,400,402,404,405,
410,414,416,417,419,421,425,426,428,429,430,432,433,435,437,438,439,440,448,
455,456,458,459,461,465,466,467,468,469,470,471,472,473,474,475,476,479,480,
481,482,483,485,487,488,490,491,492,493,494,496,497,498,501,504,507,508,509,
510,512,514,516,517,519,521,522,523,524,527,528,529,530,531,532,533,534,535,
538,540,541,543,545,547,548,549,552,553,554,556,569,571,576,580,582,586,587,
588,589,595,598,604,605,606,609,611,620,651,656,658,662,664,665,666,667,670,
674,677,679,682,683,684,685,686,688,690,691,692,693,697,698,699,701,703,706,
709,710,714,715,718,723,726,727,729,733,734,737,740,745,759,760,761,762,770,
772,773,775,776,778,779,780,782,786,790,794,799,800,804,805,806,807,808,809,
813,819,820,821,826,828,834,835,844,847,849,859,866,870,877,895,898,901,904,
959,962,973,974,978,1001,1005,1006,1013,1014,1015,1016,1019,1023,1027,1035,
1044,1045,1052,1059,1069,1083,1088,1131,1139,1141,1153,1173,1213,1218,1223,
1225,1232,1234,1239,1244,1261,1265,1275,1287,1297,1303,1309,1361,1415,1418,
1430,1438,1445,1472,1542],[1,2,4,5,6,7,9,13,14,15,22,23,25,27,29,31,34,35,37,
38,39,41,44,47,48,51,53,55,59,63,64,65,68,69,75,78,81,83,88,90,91,100,102,106,
107,108,109,110,112,114,115,117,122,123,125,126,128,129,135,139,142,143,148,
151,156,160,166,172,181,184,192,198,201,208,215,231,232,233,234,235,236,237,
238,239,241,242,243,248,250,252,253,254,255,259,260,261,277,279,281,284,287,
291,301,305,308,309,319,331,336,338,340,353,360,375,376,377,381,384,395,401,
420,423,424,436,442,449,450,452,458,462,478,499,504,518,539,569,570,573,575,
576,579,580,583,586,587,588,589,592,595,596,598,599,601,605,606,609,610,611,
613,614,618,620,622,623,625,626,627,628,629,635,640,642,643,645,646,647,648,
649,678,681,689,716,717,725,728,739,768,787,788,791,792,831,832,838,845,874,
904,939,943,944,946,949,952,957,958,962,968,975,976,981,982,983,985,986,991,
993,996,999,1000,1001,1003,1006,1007,1008,1009,1010,1012,1015,1018,1019,1022,
1023,1028,1031,1074,1085,1091,1101,1111,1145,1176,1213,1216,1224,1229,1236,
1243,1255,1256,1257,1260,1267,1272,1280,1288,1289,1290,1295,1298,1307,1343,
1405,1428,1434,1447,1461,1463,1464,1543],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,
20,22,25,26,27,28,29,30,33,34,35,36,37,38,39,41,44,47,53,54,55,59,64,65,68,69,
73,74,75,76,78,79,81,87,89,90,91,92,93,95,96,99,100,101,104,105,107,108,109,
110,111,112,114,115,116,120,122,123,124,125,126,127,128,129,130,131,133,134,
135,139,142,143,145,146,147,149,150,156,157,161,165,167,168,169,177,179,182,
183,191,200,201,209,211,212,213,215,231,232,235,236,237,239,242,250,252,253,
254,255,257,260,277,281,282,284,285,287,288,289,291,292,295,296,297,298,301,
302,306,307,308,310,314,315,330,334,341,345,346,347,348,353,354,356,358,361,
372,373,375,385,386,388,393,397,398,399,400,401,404,405,406,407,416,417,422,
423,427,431,436,437,440,442,443,452,460,461,464,477,478,480,481,501,502,503,
505,511,515,518,525,526,537,546,579,582,589,592,596,604,609,611,615,620,626,
634,642,643,646,651,664,665,669,676,680,684,690,702,704,715,719,721,724,731,
756,757,764,776,777,799,802,811,812,815,822,826,827,828,831,833,839,845,852,
856,861,863,910,912,914,950,958,959,966,967,972,973,974,977,980,983,984,987,
999,1013,1014,1015,1016,1031,1041,1051,1065,1071,1089,1094,1095,1097,1098,
1108,1139,1223,1227,1238,1239,1247,1257,1262,1271,1276,1294,1303,1309,1317,
1415,1417,1422,1423,1429,1544],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,27,
28,29,30,33,34,35,36,38,39,41,44,47,53,54,59,64,65,69,73,74,75,76,79,87,89,90,
91,92,93,95,96,99,102,103,104,105,108,109,110,112,116,120,122,123,124,125,126,
127,128,129,130,133,134,139,142,143,145,146,147,149,157,161,165,167,168,169,
179,182,183,191,200,201,211,212,213,215,232,233,234,239,242,250,252,255,257,
259,260,277,281,284,285,286,288,291,292,294,296,301,305,306,307,310,314,315,
319,326,330,331,332,334,335,344,346,347,348,354,356,358,361,372,373,376,384,
385,386,388,390,393,397,398,400,404,405,416,417,420,427,431,437,440,452,460,
461,463,480,481,486,501,502,505,506,511,513,526,546,555,557,573,582,589,592,
601,604,609,611,615,618,620,628,629,648,651,664,665,672,676,684,690,694,700,
707,711,715,728,736,741,744,756,763,765,776,781,785,799,810,812,816,817,822,
826,827,828,838,843,852,861,881,885,887,890,892,942,959,966,972,973,974,981,
996,998,1000,1007,1013,1014,1015,1016,1024,1037,1053,1072,1081,1093,1094,1117,
1127,1138,1139,1166,1219,1223,1228,1239,1247,1264,1274,1283,1303,1304,1307,
1309,1316,1406,1409,1415,1433,1446,1545],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,
20,22,28,29,30,33,34,36,38,39,41,44,47,53,54,59,64,69,73,74,76,79,89,90,92,93,
95,96,99,104,105,117,119,120,123,124,125,126,127,129,130,133,134,139,142,146,
149,157,161,165,167,168,169,182,183,200,201,212,213,215,232,242,252,255,257,
260,277,284,285,288,301,307,310,315,334,346,347,348,354,356,358,361,366,367,
372,373,385,386,388,393,400,404,405,412,413,416,417,424,437,440,461,480,481,
501,542,582,589,604,609,611,620,649,651,664,665,684,690,713,715,716,776,799,
826,828,830,862,869,875,888,891,899,908,959,973,974,1009,1013,1014,1015,1016,
1112,1114,1124,1139,1157,1223,1239,1268,1288,1303,1309,1334,1415,1426,1546],[
1,2,4,6,7,8,9,13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,39,44,53,54,59,
64,65,68,73,74,75,76,78,79,87,89,90,91,92,96,99,107,114,115,116,122,124,125,
127,128,129,130,131,133,142,143,145,147,149,156,157,161,167,168,177,179,182,
200,201,212,215,232,237,238,239,250,252,253,254,257,259,261,277,282,285,287,
291,296,298,301,302,305,306,310,314,315,321,334,336,340,345,356,369,372,375,
381,390,393,395,397,398,400,403,405,417,418,420,422,427,431,436,440,460,461,
464,481,486,511,525,555,557,573,579,582,583,596,599,604,610,611,613,614,615,
627,629,634,642,663,669,675,678,680,684,695,700,711,722,731,744,751,752,753,
758,776,785,802,812,816,832,840,856,858,861,863,890,912,947,949,950,957,966,
967,972,974,981,982,984,986,991,992,998,1013,1016,1031,1067,1071,1073,1093,
1098,1119,1125,1127,1155,1226,1235,1238,1239,1246,1251,1254,1260,1262,1264,
1270,1283,1294,1318,1403,1417,1420,1432,1433,1448,1473,1547],[1,2,4,6,7,8,10,
13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,57,70,
72,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,122,
123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,156,157,
161,165,167,168,169,177,179,182,183,191,200,201,212,213,215,249,258,266,271,
272,283,284,285,286,288,289,294,296,297,298,301,302,305,306,307,310,315,321,
326,334,340,344,345,346,347,348,354,356,358,361,369,372,373,375,376,381,384,
385,386,388,390,393,395,397,398,400,403,404,405,416,417,422,423,427,431,436,
437,440,460,461,463,480,481,501,502,511,526,572,584,597,602,638,650,652,663,
664,665,669,672,676,678,680,684,687,690,695,696,700,704,707,715,717,719,722,
735,748,752,753,756,758,776,785,795,799,802,826,827,828,843,872,890,912,938,
954,964,989,990,995,1002,1047,1050,1053,1067,1082,1084,1089,1113,1139,1152,
1155,1242,1248,1249,1250,1273,1339,1407,1410,1419,1548],[1,2,4,6,7,8,9,13,14,
15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,59,64,65,68,
73,74,75,76,78,79,87,90,91,92,93,95,96,99,107,108,109,110,112,114,115,116,120,
122,124,125,126,127,128,129,130,131,133,134,142,143,145,146,147,149,156,157,
161,165,167,168,169,177,179,182,183,191,200,211,212,213,215,233,234,237,238,
239,250,252,253,254,255,257,259,277,281,282,286,287,288,289,291,292,294,296,
297,298,302,305,306,307,310,314,321,326,330,331,332,336,340,341,344,345,346,
347,348,353,356,361,369,375,376,381,384,385,386,388,390,393,397,398,400,404,
405,417,418,420,422,423,427,431,436,452,460,461,463,464,480,481,501,502,505,
511,526,546,555,557,573,579,582,592,596,599,604,610,615,620,627,629,634,635,
640,642,648,663,668,669,672,675,676,680,687,689,690,700,704,707,711,719,722,
725,731,742,746,751,756,774,785,802,812,815,816,822,826,827,828,832,836,840,
842,843,852,854,858,861,863,887,890,912,939,942,950,957,959,966,967,972,982,
983,984,992,998,1000,1008,1013,1016,1022,1024,1053,1057,1060,1073,1081,1086,
1089,1094,1095,1100,1113,1119,1125,1126,1137,1221,1226,1235,1238,1241,1247,
1262,1264,1270,1274,1283,1294,1295,1303,1321,1399,1403,1404,1409,1423,1431,
1432,1549],[1,2,6,7,9,10,11,15,39,41,49,51,57,59,65,68,69,70,72,123,193,194,
227,228,230,234,237,241,244,249,257,258,261,266,271,434,558,562,563,565,568,
570,651,652,654,916,917,921,922,927,928,929,931,934,969,1033,1192,1195,1198,
1204,1209,1312,1314,1394,1475,1550],[1,2,6,7,9,10,11,15,35,37,39,41,53,55,57,
59,65,68,69,70,72,78,109,114,123,135,227,228,230,234,235,236,237,238,244,249,
254,257,258,259,260,261,266,271,401,558,562,563,565,568,570,597,610,613,623,
628,634,635,646,651,652,654,915,916,921,922,923,928,929,931,934,936,937,968,
987,1033,1184,1186,1187,1191,1192,1198,1204,1205,1207,1208,1313,1314,1380,
1392,1475,1476,1551],[1,2,3,5,6,7,9,10,11,15,21,24,31,32,39,41,45,46,52,57,58,
59,60,61,62,63,65,67,68,69,70,72,123,188,203,205,217,227,228,230,234,237,244,
245,249,257,258,261,262,265,266,267,268,271,273,274,275,276,278,279,333,558,
559,561,562,563,564,565,566,567,568,570,571,578,600,621,624,630,631,636,651,
652,654,916,918,919,920,921,922,925,926,928,929,930,931,933,934,935,941,1027,
1033,1034,1192,1196,1198,1199,1200,1203,1204,1206,1210,1211,1314,1315,1382,
1396,1475,1478,1552],[1,2,4,9,10,11,15,22,34,44,57,59,64,90,129,227,228,230,
244,252,255,257,261,264,266,271,272,277,395,558,602,604,614,620,654,921,922,
929,931,932,934,947,971,976,995,1002,1193,1314,1381,1384,1385,1389,1390,
1553],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,
458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,
515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,
534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,
553,554,555,556,557,656,657,658,659,660,661,662,663,664,665,666,667,668,669,
670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,
708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,
841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,
860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,
879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,
1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,
1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1479,1480,1481,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1554],[1,2,4,8,11,12,15,16,17,18,22,
28,33,34,36,44,66,73,74,76,79,90,92,93,95,96,120,129,130,146,200,226,240,244,
246,251,256,264,283,288,356,361,393,395,403,404,480,481,590,603,619,632,690,
696,758,924,940,948,951,953,971,1011,1047,1215,1393,1436,1468,1555],[1,2,4,8,
11,15,16,17,18,22,28,33,34,36,44,73,74,76,79,90,92,93,95,96,120,129,130,146,
200,229,244,251,264,283,288,356,361,393,395,403,404,480,481,690,696,758,940,
951,971,1047,1436,1556],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,22,27,29,30,33,
34,35,36,38,39,44,53,54,57,59,64,65,68,70,72,73,74,75,76,78,79,87,89,90,91,92,
96,99,107,116,122,124,125,129,130,133,142,143,147,156,157,161,167,168,177,179,
182,200,201,212,215,227,237,239,250,252,253,254,257,258,259,261,266,272,277,
285,298,301,302,305,306,334,340,345,356,369,372,375,390,393,395,397,398,400,
403,405,417,422,427,431,436,460,461,481,558,563,565,572,573,579,582,583,584,
596,597,602,604,613,614,615,629,634,638,650,669,678,695,700,722,752,753,758,
776,890,912,916,929,947,950,954,966,967,972,984,990,991,995,998,1013,1016,
1155,1189,1193,1205,1238,1242,1246,1248,1249,1251,1254,1264,1283,1294,1385,
1391,1407,1420,1497,1503,1505,1557],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,
22,27,33,34,35,36,38,39,41,44,47,53,54,57,59,64,65,68,69,73,74,75,76,78,79,87,
90,91,92,96,104,105,107,108,116,122,123,124,125,126,128,129,130,133,134,139,
142,143,145,147,156,157,165,168,169,177,179,191,200,227,233,234,237,238,239,
242,252,253,254,257,260,261,266,272,277,284,286,289,294,296,297,298,302,306,
307,321,326,344,345,354,356,358,375,376,381,384,393,395,397,400,403,422,423,
431,436,437,463,481,526,558,568,570,572,575,582,596,602,604,609,614,615,622,
623,627,634,648,651,663,664,704,707,717,735,748,758,843,872,912,915,929,942,
943,946,947,950,966,967,973,984,992,995,1013,1014,1016,1024,1050,1193,1204,
1208,1223,1235,1248,1251,1253,1274,1278,1282,1294,1306,1375,1385,1388,1450,
1460,1495,1505,1558],[1,2,4,8,9,10,15,16,17,18,22,27,29,30,33,34,35,36,44,57,
59,64,73,74,76,79,87,90,91,92,96,127,128,129,130,143,145,147,149,161,167,200,
212,215,227,232,238,250,252,257,259,261,266,272,277,296,305,306,310,315,321,
356,381,390,393,395,398,403,405,427,440,481,511,558,572,582,602,604,611,614,
627,629,642,663,680,684,758,785,802,890,923,929,947,949,972,974,986,992,995,
998,1013,1016,1067,1193,1235,1239,1248,1251,1262,1264,1376,1383,1385,1448,
1473,1505,1559],[1,2,4,7,8,9,10,15,16,17,18,20,22,27,30,33,34,36,38,41,44,47,
54,57,59,64,65,70,73,74,75,76,79,89,90,92,96,108,116,126,127,128,129,130,134,
145,147,149,157,161,165,169,183,191,200,213,227,233,234,239,249,250,252,257,
261,266,272,277,285,296,307,310,326,344,356,369,373,376,393,395,397,398,403,
416,463,481,501,502,511,526,558,563,572,582,583,584,592,602,604,614,615,642,
648,650,676,687,695,715,758,795,802,843,928,929,938,942,947,966,972,989,995,
1012,1013,1016,1024,1152,1189,1193,1242,1247,1248,1251,1254,1262,1274,1385,
1386,1410,1449,1503,1505,1560],[1,2,4,6,7,9,10,13,15,22,25,26,27,30,34,35,37,
38,39,41,44,47,53,54,59,65,68,69,70,75,78,81,89,90,91,101,103,107,108,110,111,
112,115,116,122,123,125,126,128,129,131,139,147,157,161,211,227,231,234,236,
237,238,239,250,257,260,261,266,272,282,284,285,292,295,314,330,332,335,341,
369,375,376,381,384,395,397,398,399,418,423,442,443,477,557,563,568,570,583,
584,599,604,615,618,623,634,640,643,650,651,668,695,717,724,751,810,833,836,
881,929,936,942,947,966,972,977,980,984,992,993,995,1014,1109,1189,1204,1208,
1221,1227,1228,1242,1254,1270,1278,1282,1379,1385,1457,1495,1503,1561],[1,2,3,
4,8,9,10,15,16,17,18,22,33,34,36,40,42,43,44,45,57,59,61,62,64,73,74,76,79,80,
82,86,90,92,96,129,130,154,158,170,180,196,197,200,207,216,219,227,245,252,
257,261,266,272,277,278,316,323,325,329,337,352,356,371,393,395,403,470,481,
497,531,533,558,566,572,582,602,604,607,614,616,705,708,712,758,775,814,929,
933,947,955,979,995,1013,1016,1080,1193,1230,1248,1251,1281,1385,1400,1459,
1505,1512,1562],[1,2,3,4,7,9,10,15,21,22,27,30,34,38,40,43,44,54,59,61,62,65,
70,75,82,85,89,90,116,129,147,157,158,161,162,170,178,180,185,186,223,227,239,
250,257,261,266,267,272,280,285,299,316,337,369,395,397,398,421,535,563,566,
583,584,604,607,615,616,650,695,708,855,877,879,920,929,947,966,972,995,1004,
1156,1189,1230,1242,1254,1281,1385,1455,1503,1512,1563],[1,2,4,6,7,9,10,13,14,
15,22,25,27,29,34,35,37,38,39,41,44,47,53,55,57,59,64,65,68,69,70,72,75,78,81,
90,91,100,102,107,108,109,110,112,114,115,122,123,125,126,128,129,135,139,142,
143,156,201,215,227,231,232,233,234,235,236,237,238,239,242,249,250,252,253,
254,255,257,258,259,260,261,266,271,277,281,284,287,291,301,305,308,319,331,
336,340,353,375,376,381,384,395,401,420,423,436,442,452,478,518,558,563,565,
568,570,573,575,579,583,584,589,592,596,597,599,601,602,604,609,610,611,613,
614,615,618,620,622,623,626,627,628,629,634,635,640,642,643,646,648,651,652,
678,689,717,725,728,831,832,838,845,915,916,922,923,928,929,936,937,938,939,
942,943,946,947,949,950,954,957,958,968,976,977,981,982,983,984,986,987,991,
992,993,996,998,999,1000,1002,1003,1007,1008,1010,1012,1014,1015,1022,1031,
1145,1184,1186,1187,1189,1192,1193,1204,1205,1207,1208,1219,1224,1226,1241,
1246,1256,1257,1260,1273,1276,1278,1282,1289,1290,1295,1298,1307,1375,1376,
1379,1380,1383,1384,1386,1388,1391,1392,1428,1469,1494,1498,1502,1506,1510,
1513,1514,1564],[1,2,3,4,5,7,9,10,15,22,23,27,30,32,34,38,40,43,44,48,54,59,
60,61,62,65,67,70,75,82,88,89,90,116,129,144,147,152,157,158,159,161,166,170,
180,181,189,198,202,204,206,222,227,239,250,257,261,265,266,268,272,285,316,
337,338,359,362,369,377,378,380,383,395,397,398,426,559,563,566,583,584,604,
607,615,616,617,637,650,695,708,739,769,848,898,913,919,929,945,947,966,972,
995,1025,1177,1189,1214,1230,1242,1254,1281,1284,1385,1421,1467,1503,1504,
1512,1565],[1,2,4,8,10,11,15,16,17,18,22,28,33,34,36,44,57,73,74,76,79,90,92,
93,95,96,120,129,130,146,200,228,244,251,264,266,271,272,283,288,356,361,393,
395,403,404,480,481,572,602,690,696,758,921,940,951,964,971,995,1002,1047,
1248,1381,1419,1436,1566],[1,2,4,8,9,10,15,16,17,18,22,28,33,34,36,44,57,59,
64,73,74,76,79,90,92,93,95,96,120,129,130,146,200,227,252,255,257,261,266,271,
272,277,283,288,356,361,393,395,403,404,480,481,558,572,582,602,604,614,620,
690,696,758,922,929,947,959,964,976,995,1002,1013,1016,1047,1193,1248,1251,
1303,1384,1385,1419,1444,1505,1567],[1,2,4,6,9,10,14,15,22,29,34,35,44,51,53,
59,68,72,78,90,117,129,142,143,156,172,201,215,227,254,257,259,261,266,272,
301,305,340,395,424,436,462,565,597,604,613,634,638,678,681,716,917,929,947,
950,995,998,1091,1205,1246,1249,1385,1497,1568],[1,2,3,4,6,9,10,14,15,22,24,
29,34,35,40,43,44,53,59,61,62,68,72,78,82,84,90,129,138,141,142,143,155,156,
158,170,180,190,201,215,218,227,254,257,259,261,266,272,273,293,301,305,316,
337,340,363,379,395,436,465,565,566,597,604,607,613,616,634,638,678,708,859,
893,897,925,929,947,950,995,998,1029,1158,1205,1230,1246,1249,1281,1385,1411,
1497,1512,1569],[1,2,4,8,9,10,11,15,16,17,18,22,28,33,34,36,44,57,59,64,73,74,
76,79,90,92,93,95,96,120,129,130,146,200,230,244,251,252,255,257,261,264,266,
271,272,277,283,288,356,361,393,395,403,404,480,481,572,582,602,604,614,620,
690,696,758,931,932,934,940,947,951,959,964,971,976,995,1002,1013,1016,1047,
1248,1251,1303,1387,1389,1390,1419,1436,1444,1570],[1,2,4,7,9,10,15,22,27,30,
34,38,44,49,54,59,65,70,75,89,90,116,119,129,147,157,161,173,227,239,250,257,
261,266,272,285,369,395,397,398,536,542,563,583,584,604,615,650,695,713,720,
927,929,947,966,972,995,1092,1189,1242,1254,1385,1503,1571],[1,2,3,4,7,9,10,
15,22,27,30,34,38,40,43,44,46,54,59,61,62,65,70,75,82,89,90,113,116,129,137,
140,147,157,158,161,170,171,176,180,187,227,239,250,257,261,262,266,272,285,
300,316,317,337,369,395,397,398,523,530,563,566,583,584,604,607,615,616,650,
695,708,820,857,894,929,935,947,966,972,995,1026,1135,1189,1230,1242,1254,
1281,1385,1456,1503,1512,1572],[1,2,4,5,6,9,10,14,15,22,23,29,31,34,35,44,48,
53,59,60,67,68,72,78,88,90,106,129,142,143,151,156,160,166,181,184,192,198,
201,208,215,227,254,257,259,261,266,272,275,301,305,309,338,340,360,377,395,
436,458,504,559,565,597,604,613,617,634,637,638,678,739,768,874,904,926,929,
947,950,963,995,998,1176,1205,1214,1246,1249,1284,1385,1435,1497,1504,1573],[
1,2,4,5,6,9,10,11,14,15,22,23,29,31,34,35,44,48,53,58,59,60,63,64,67,69,72,78,
88,90,106,129,142,143,151,156,160,166,181,184,192,198,201,208,215,230,232,238,
242,243,244,248,252,255,260,261,264,266,272,275,277,279,301,305,309,338,340,
360,377,395,436,458,504,562,564,567,569,575,576,580,586,587,588,589,595,597,
598,605,606,608,609,611,614,617,620,623,627,637,638,678,739,768,874,904,930,
932,934,946,949,952,962,963,971,976,995,1001,1006,1008,1015,1019,1023,1176,
1185,1188,1191,1202,1213,1214,1216,1229,1236,1249,1256,1277,1284,1389,1395,
1434,1435,1499,1500,1507,1574],[1,2,4,6,7,9,10,13,14,15,22,25,27,29,34,35,37,
38,39,41,44,47,53,55,59,65,68,69,72,75,78,81,90,91,100,102,107,108,109,110,
112,114,115,122,123,125,126,128,129,135,139,142,143,156,201,215,227,234,235,
236,237,238,254,257,259,260,261,266,272,281,284,287,291,301,305,308,319,331,
336,340,353,375,376,381,384,395,401,420,423,436,442,452,478,518,565,568,570,
597,604,610,613,615,623,628,634,635,638,646,651,678,689,717,725,728,831,832,
838,845,929,937,942,947,950,968,977,984,987,992,995,998,1014,1145,1204,1205,
1208,1219,1226,1241,1246,1249,1276,1278,1282,1385,1392,1469,1495,1497,1575],[
1,2,3,4,5,8,9,10,15,16,17,18,22,23,33,34,36,40,43,44,48,50,52,57,59,60,61,62,
64,67,73,74,76,79,82,88,90,92,94,96,98,118,129,130,136,153,158,166,170,180,
181,195,198,200,220,221,227,252,257,261,266,272,274,276,277,316,320,322,324,
328,337,338,339,356,377,393,395,403,419,481,496,527,553,558,559,566,572,582,
602,604,607,614,616,617,637,657,661,673,708,739,758,772,918,929,947,970,994,
995,1013,1016,1079,1193,1214,1230,1248,1251,1281,1284,1385,1425,1458,1504,
1505,1512,1576],[1,2,3,4,5,6,7,8,9,10,11,14,15,17,19,20,21,22,23,24,28,29,30,
31,32,33,36,39,40,41,42,43,45,46,48,50,52,54,57,58,60,61,62,63,64,67,69,70,72,
74,82,84,85,86,88,89,94,98,99,104,106,113,121,123,124,127,132,137,146,151,152,
153,154,155,158,162,165,167,171,176,178,181,182,183,185,188,189,190,192,195,
196,197,199,200,201,202,203,204,205,206,207,208,210,213,217,218,220,222,225,
230,232,242,243,244,245,248,249,251,255,257,258,262,264,265,267,268,271,272,
273,274,275,276,278,279,303,312,313,315,333,350,352,354,355,357,368,372,373,
383,385,386,387,392,396,402,410,414,419,426,428,429,430,433,435,448,459,465,
472,479,480,482,487,492,494,496,497,504,519,523,524,529,532,535,540,541,543,
545,547,554,562,564,567,569,571,572,578,580,582,586,587,589,595,598,600,607,
608,612,616,617,621,624,630,631,636,637,638,650,651,652,662,665,677,682,683,
688,699,740,770,786,790,807,808,809,870,930,931,932,941,945,951,955,959,963,
964,970,973,974,978,979,989,990,994,1004,1005,1019,1025,1026,1027,1029,1141,
1185,1188,1198,1202,1203,1206,1217,1218,1220,1222,1225,1233,1234,1240,1244,
1250,1265,1285,1286,1297,1309,1387,1395,1396,1408,1418,1496,1511,1515,1577],[
1,5,6,9,10,11,12,31,51,55,56,58,60,63,67,68,69,72,148,226,227,228,229,230,235,
241,263,275,279,559,560,561,562,564,565,567,568,639,645,653,654,655,917,926,
930,937,1032,1033,1034,1194,1212,1312,1313,1315,1397,1477,1517,1578],[1,2,4,6,
7,8,9,13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,49,51,
53,54,59,64,69,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,
116,117,119,120,122,123,124,125,126,127,128,129,130,133,134,139,142,143,145,
146,147,149,156,157,161,165,167,168,169,172,173,174,175,177,179,182,183,191,
193,194,200,201,212,213,215,232,238,241,242,252,255,257,260,261,277,283,284,
285,286,288,289,294,296,297,298,301,302,305,306,307,310,315,321,326,334,340,
344,345,346,347,348,354,356,358,361,364,365,366,367,369,370,372,373,374,375,
376,381,384,385,386,388,390,393,395,397,398,400,403,404,405,411,412,413,416,
417,422,423,424,427,431,434,436,437,440,460,461,462,463,480,481,484,501,502,
511,526,536,542,575,582,589,604,609,611,614,620,623,627,647,649,651,663,664,
665,669,672,676,678,680,681,684,687,690,695,696,700,704,707,713,715,716,717,
719,720,722,735,748,752,753,756,758,776,785,795,799,802,824,826,827,828,830,
843,846,853,862,865,869,871,872,875,888,890,891,899,903,907,908,911,912,946,
947,949,959,969,973,974,976,992,1008,1009,1013,1014,1015,1016,1028,1043,1047,
1050,1053,1061,1067,1070,1082,1084,1089,1091,1092,1112,1113,1114,1121,1122,
1124,1128,1139,1152,1154,1155,1157,1159,1223,1235,1239,1251,1256,1266,1268,
1278,1280,1288,1303,1306,1309,1322,1328,1330,1334,1336,1339,1348,1404,1405,
1415,1426,1444,1450,1452,1473,1483,1531,1540,1546,1579],[1,2,3,4,5,6,7,8,9,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,63,64,65,68,69,73,74,75,76,
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,
104,105,106,107,108,109,110,111,112,113,114,115,116,118,120,121,122,123,124,
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,
220,221,222,223,224,225,231,232,235,236,237,239,241,242,243,248,250,252,253,
254,255,257,260,277,279,280,281,282,284,285,287,288,289,290,291,292,293,295,
296,297,298,299,300,301,302,303,304,306,307,308,309,310,311,312,313,314,315,
316,317,318,320,324,325,327,328,329,330,333,334,338,339,341,342,343,345,346,
347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
368,370,371,372,373,374,375,378,379,380,382,383,385,386,387,388,389,391,392,
393,394,396,397,398,399,400,401,402,404,405,406,407,409,410,411,414,415,416,
417,419,421,422,423,425,426,427,428,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,445,447,448,449,451,452,453,455,456,458,459,460,461,462,
464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,487,488,489,490,491,492,493,494,496,497,498,500,501,502,503,504,
505,507,508,509,510,511,512,514,515,516,517,518,519,520,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,
546,547,548,549,550,551,552,553,554,556,569,571,576,579,580,582,586,587,588,
589,592,595,596,598,604,605,606,609,611,615,620,625,626,634,642,643,645,646,
647,651,656,658,659,662,664,665,666,667,669,670,671,674,676,677,679,680,681,
682,683,684,685,686,688,690,691,692,693,697,698,699,701,702,703,704,706,709,
710,714,715,718,719,720,721,723,724,726,727,729,731,733,734,737,738,740,745,
749,754,756,757,759,760,761,762,764,770,772,773,775,776,777,778,779,780,782,
783,786,787,789,790,792,793,794,796,797,799,800,801,802,804,805,806,807,808,
809,811,812,813,815,818,819,820,821,822,824,825,826,827,828,831,833,834,835,
837,839,841,844,845,846,847,849,851,852,853,856,859,860,861,863,865,866,868,
870,871,873,876,877,878,880,883,895,898,901,902,903,904,905,906,907,910,911,
912,914,944,950,958,959,962,966,967,969,972,973,974,977,978,980,983,984,985,
987,999,1001,1005,1006,1013,1014,1015,1016,1019,1023,1027,1028,1031,1035,1038,
1039,1041,1044,1045,1046,1048,1051,1052,1055,1059,1063,1065,1068,1069,1070,
1071,1075,1078,1083,1087,1088,1089,1094,1095,1097,1098,1103,1105,1108,1111,
1122,1128,1131,1132,1139,1141,1143,1150,1153,1159,1165,1168,1172,1173,1174,
1175,1182,1213,1218,1223,1225,1227,1232,1234,1238,1239,1244,1247,1255,1257,
1261,1262,1265,1266,1271,1272,1275,1276,1280,1287,1294,1297,1300,1303,1308,
1309,1317,1329,1330,1340,1349,1350,1351,1355,1361,1365,1371,1415,1417,1418,
1422,1423,1429,1430,1438,1440,1445,1452,1462,1463,1472,1493,1523,1531,1537,
1542,1544,1580],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,
33,34,35,36,37,38,39,41,44,47,53,54,55,59,64,65,68,69,73,74,75,76,78,79,81,87,
89,90,91,92,93,95,96,99,100,101,102,103,104,105,107,108,109,110,111,112,114,
115,116,120,122,123,124,125,126,127,128,129,130,131,133,134,135,139,142,143,
145,146,147,149,150,156,157,161,165,167,168,169,177,179,182,183,191,200,201,
209,211,212,213,215,231,232,233,234,235,236,237,238,239,242,250,252,253,254,
255,257,259,260,261,277,281,282,283,284,285,286,287,288,289,291,292,294,295,
296,297,298,301,302,305,306,307,308,310,314,315,319,321,326,330,331,332,334,
335,336,340,341,344,345,346,347,348,353,354,356,358,361,369,372,373,375,376,
381,384,385,386,388,390,393,395,397,398,399,400,401,403,404,405,406,407,416,
417,418,420,422,423,427,431,436,437,440,442,443,452,460,461,463,464,477,478,
480,481,486,501,502,503,505,506,511,513,515,518,525,526,537,546,555,557,570,
573,575,579,582,583,589,592,596,599,601,604,609,610,611,613,614,615,618,620,
622,623,626,627,628,629,634,635,640,642,643,646,648,651,663,664,665,668,669,
672,675,676,678,680,684,687,689,690,694,695,696,700,702,704,707,711,715,717,
719,721,722,724,725,728,731,735,736,741,742,744,746,748,751,752,753,756,757,
758,763,764,765,774,776,777,781,785,795,799,802,810,811,812,815,816,817,822,
826,827,828,831,832,833,836,838,839,840,842,843,845,852,854,856,858,861,863,
872,881,885,887,890,892,910,912,914,939,942,943,946,947,949,950,957,958,959,
966,967,968,972,973,974,976,977,980,981,982,983,984,986,987,991,992,993,996,
998,999,1000,1003,1007,1008,1010,1012,1013,1014,1015,1016,1022,1024,1031,1037,
1041,1047,1050,1051,1053,1056,1057,1060,1062,1065,1067,1071,1072,1073,1081,
1082,1084,1086,1089,1093,1094,1095,1096,1097,1098,1100,1108,1109,1113,1117,
1119,1123,1125,1126,1127,1137,1138,1139,1145,1152,1155,1166,1219,1221,1223,
1224,1226,1227,1228,1235,1238,1239,1241,1246,1247,1251,1253,1254,1256,1257,
1260,1262,1264,1270,1271,1274,1276,1278,1282,1283,1289,1290,1294,1295,1298,
1303,1304,1306,1307,1309,1316,1317,1318,1319,1321,1325,1339,1352,1362,1399,
1403,1404,1406,1409,1412,1413,1415,1417,1420,1422,1423,1428,1429,1431,1432,
1433,1444,1446,1448,1449,1450,1457,1460,1469,1473,1479,1519,1527,1533,1535,
1540,1544,1545,1547,1549,1581],[1,2,3,4,5,6,7,8,12,13,14,16,17,18,19,22,23,24,
25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,43,44,48,50,51,52,53,54,55,56,66,
71,73,76,79,80,81,82,83,84,88,89,92,93,94,95,96,98,99,100,101,106,107,108,111,
118,119,120,124,125,128,129,130,133,135,136,138,141,142,144,145,146,147,148,
150,151,152,153,154,155,157,158,159,160,161,163,164,166,167,168,170,172,174,
177,180,181,182,184,189,190,191,192,193,195,197,198,200,201,202,204,206,207,
208,209,212,215,216,217,218,219,220,221,222,225,240,246,263,269,270,283,285,
288,289,290,291,293,295,296,297,301,308,309,312,314,316,320,322,323,324,328,
329,334,337,338,339,341,342,345,349,351,353,359,360,362,363,364,367,369,370,
371,372,378,379,380,383,390,392,400,402,403,404,405,413,417,419,423,425,426,
438,449,451,455,458,459,461,462,465,467,472,476,479,481,483,485,486,489,496,
500,502,503,504,508,511,519,521,526,527,531,532,534,537,539,541,542,549,550,
552,553,555,574,577,581,585,590,591,594,603,619,632,639,644,657,667,672,679,
681,687,696,704,705,709,711,712,713,719,724,729,732,737,740,742,744,747,752,
767,772,776,780,783,784,785,787,792,793,795,796,811,812,813,814,815,824,829,
844,845,855,857,859,875,876,878,879,886,893,894,898,899,900,902,904,907,910,
913,914,953,961,965,997,1017,1021,1030,1036,1060,1078,1083,1084,1087,1097,
1099,1106,1110,1111,1112,1120,1121,1127,1134,1159,1160,1162,1167,1171,1174,
1175,1179,1215,1231,1237,1245,1252,1259,1269,1292,1305,1310,1328,1337,1353,
1355,1358,1362,1367,1427,1437,1466,1481,1539,1582],[1,2,4,6,7,8,9,13,14,15,16,
17,18,19,20,22,23,27,28,29,30,33,34,35,36,38,39,41,43,44,47,49,51,53,54,59,64,
65,69,73,74,75,76,79,80,87,89,90,91,92,93,95,96,99,102,103,104,105,108,109,
110,112,116,118,120,122,123,124,125,126,127,128,129,130,133,134,139,142,143,
145,146,147,149,153,154,157,161,165,166,167,168,169,172,173,174,175,179,180,
182,183,191,193,194,200,201,211,212,213,215,232,233,234,239,241,242,243,250,
252,255,257,259,260,277,281,284,285,286,288,291,292,294,296,301,305,306,307,
310,314,315,319,322,323,326,330,331,332,334,335,337,344,346,347,348,354,356,
358,361,364,365,370,371,372,373,374,376,377,384,385,386,387,388,390,393,397,
398,400,404,405,411,416,417,420,427,431,434,437,440,452,460,461,462,463,480,
481,484,486,501,502,505,506,511,513,517,526,536,546,553,555,557,573,576,582,
589,592,601,604,609,611,615,618,620,628,629,647,648,651,664,665,672,673,676,
681,684,690,694,700,707,711,715,720,728,736,741,744,756,763,765,776,781,785,
799,810,812,814,816,817,822,824,826,827,828,834,838,843,846,848,852,853,861,
865,871,874,879,881,885,886,887,890,892,893,894,903,907,911,942,952,959,966,
969,972,973,974,981,996,998,1000,1005,1007,1013,1014,1015,1016,1024,1028,1037,
1042,1053,1070,1072,1074,1081,1093,1094,1110,1116,1117,1122,1127,1128,1138,
1139,1140,1144,1159,1166,1170,1180,1219,1223,1228,1232,1236,1239,1247,1264,
1266,1274,1280,1283,1303,1304,1307,1309,1316,1330,1342,1345,1353,1354,1368,
1406,1409,1415,1433,1446,1447,1451,1452,1486,1531,1534,1545,1583],[1,2,3,4,5,
6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,
39,40,41,42,43,44,45,46,47,48,50,52,53,54,59,63,64,65,69,73,74,75,76,79,80,82,
84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,102,103,104,105,106,108,109,110,
112,113,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,
134,136,137,138,139,140,141,142,143,144,145,146,147,149,151,152,153,154,155,
157,158,159,160,161,162,165,166,167,168,169,170,171,176,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,210,211,212,213,215,216,217,218,219,220,221,222,223,225,
232,233,234,239,242,243,248,250,252,255,257,259,260,277,279,280,281,284,285,
286,288,290,291,292,293,294,296,299,300,301,303,304,305,306,307,309,310,312,
313,314,315,316,317,319,320,324,325,326,327,328,329,330,331,332,333,334,335,
338,339,342,343,344,346,347,348,350,351,352,354,355,356,357,358,359,360,361,
362,363,366,367,368,371,372,373,376,378,379,380,382,383,384,385,386,387,388,
389,390,391,392,393,394,396,397,398,400,402,404,405,408,410,412,413,414,416,
417,419,420,421,424,425,426,427,428,429,430,431,432,433,435,437,438,439,440,
444,446,448,450,452,454,455,456,457,458,459,460,461,463,465,466,467,468,469,
470,471,472,473,474,475,476,479,480,481,482,483,485,486,487,488,490,491,492,
493,494,495,496,497,498,499,501,502,504,505,506,507,508,509,510,511,512,513,
514,516,517,519,521,522,523,524,526,527,528,529,530,531,532,533,534,535,538,
540,541,542,543,545,546,547,548,549,552,553,554,555,556,557,569,571,573,576,
580,582,586,587,588,589,592,595,598,601,604,605,606,609,611,615,618,620,628,
629,648,649,651,656,658,660,662,664,665,666,667,670,672,674,676,677,679,682,
683,684,685,686,688,690,691,692,693,694,697,698,699,700,701,703,706,707,709,
710,711,713,714,715,716,718,723,726,727,728,729,730,732,733,734,736,737,740,
741,743,744,745,750,755,756,759,760,761,762,763,765,766,767,770,771,772,773,
775,776,778,779,780,781,782,784,785,786,788,790,791,794,798,799,800,803,804,
805,806,807,808,809,810,812,813,816,817,819,820,821,822,823,826,827,828,830,
834,835,838,843,844,847,849,850,852,859,861,862,864,866,867,869,870,875,877,
881,882,884,885,887,888,889,890,891,892,895,896,898,899,900,901,904,908,909,
942,959,962,966,972,973,974,975,978,981,996,998,1000,1001,1005,1006,1007,1009,
1013,1014,1015,1016,1018,1019,1023,1024,1027,1035,1037,1040,1044,1045,1049,
1052,1053,1058,1059,1066,1069,1072,1076,1077,1081,1083,1085,1088,1093,1094,
1102,1107,1112,1114,1115,1117,1118,1124,1127,1129,1130,1131,1133,1138,1139,
1141,1146,1147,1148,1151,1153,1157,1160,1162,1164,1166,1173,1178,1213,1218,
1219,1223,1225,1228,1232,1234,1239,1243,1244,1247,1261,1264,1265,1267,1268,
1274,1275,1283,1287,1288,1297,1303,1304,1307,1309,1316,1320,1332,1334,1344,
1347,1357,1361,1367,1369,1372,1406,1409,1414,1415,1418,1426,1430,1433,1438,
1445,1446,1453,1464,1472,1488,1522,1528,1542,1545,1546,1584],[1,2,3,4,5,6,7,8,
9,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,
41,42,43,44,45,46,47,48,50,52,53,54,59,63,64,69,73,74,75,76,78,79,80,82,84,85,
86,87,88,89,90,91,92,93,94,95,96,98,99,104,105,106,107,108,113,116,118,120,
121,122,123,124,125,126,127,128,129,130,132,133,134,136,137,138,139,140,141,
142,143,144,145,146,147,149,151,152,153,154,155,156,157,158,159,160,161,162,
165,166,167,168,169,170,171,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
210,212,213,215,216,217,218,219,220,221,222,223,225,232,238,242,243,248,252,
255,257,260,261,277,279,280,283,284,285,286,288,289,290,293,294,296,297,298,
299,300,301,302,303,304,305,306,307,309,310,312,313,315,316,317,320,321,322,
323,324,325,326,327,328,329,333,334,337,338,339,340,342,343,344,345,346,347,
348,350,351,352,354,355,356,357,358,359,360,361,362,363,368,369,371,372,373,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,397,398,400,402,403,404,405,410,414,416,417,419,421,422,423,425,
426,427,428,429,430,431,432,433,435,436,437,438,439,440,448,455,456,458,459,
460,461,463,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,482,
483,485,487,488,490,491,492,493,494,496,497,498,501,502,504,507,508,509,510,
511,512,514,516,517,519,521,522,523,524,526,527,528,529,530,531,532,533,534,
535,538,540,541,543,545,547,548,549,552,553,554,556,569,571,575,576,580,582,
586,587,588,589,595,598,604,605,606,609,611,614,620,623,627,651,656,657,658,
661,662,663,664,665,666,667,669,670,672,673,674,676,677,678,679,680,682,683,
684,685,686,687,688,690,691,692,693,695,696,697,698,699,700,701,703,704,705,
706,707,708,709,710,712,714,715,717,718,719,722,723,726,727,729,733,734,735,
737,739,740,745,747,748,752,753,756,758,759,760,761,762,768,769,770,772,773,
775,776,778,779,780,782,785,786,790,794,795,799,800,802,804,805,806,807,808,
809,813,814,819,820,821,826,827,828,829,834,835,843,844,847,848,849,855,857,
859,866,870,872,874,877,879,886,890,893,894,895,897,898,901,904,912,913,946,
947,949,952,959,962,973,974,976,978,992,1001,1005,1006,1008,1013,1014,1015,
1016,1019,1023,1027,1035,1036,1044,1045,1047,1050,1052,1053,1054,1059,1067,
1069,1079,1080,1082,1083,1084,1088,1089,1090,1099,1104,1106,1110,1113,1116,
1120,1131,1134,1135,1136,1139,1140,1141,1142,1149,1152,1153,1155,1156,1158,
1161,1163,1167,1169,1173,1176,1177,1180,1181,1213,1216,1218,1223,1225,1229,
1232,1234,1235,1236,1239,1244,1251,1256,1261,1265,1275,1278,1287,1297,1303,
1306,1309,1326,1327,1333,1337,1338,1339,1346,1361,1364,1366,1368,1404,1415,
1418,1430,1434,1438,1444,1445,1450,1451,1472,1473,1487,1532,1534,1536,1540,
1542,1585],[1,2,4,6,7,8,9,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,33,
34,35,36,37,38,39,41,43,44,47,53,54,55,59,64,65,68,69,73,74,75,76,78,79,80,81,
87,89,90,91,92,93,95,96,99,100,101,104,105,107,108,109,110,111,112,114,115,
116,117,118,119,120,122,123,124,125,126,127,128,129,130,131,133,134,135,139,
142,143,145,146,147,149,150,153,154,156,157,161,165,166,167,168,169,177,179,
180,182,183,191,200,201,209,211,212,213,215,231,232,235,236,237,239,242,243,
250,252,253,254,255,257,260,277,281,282,284,285,287,288,289,291,292,295,296,
297,298,301,302,306,307,308,310,314,315,322,323,330,334,337,341,345,346,347,
348,353,354,356,358,361,366,367,371,372,373,375,377,385,386,387,388,393,397,
398,399,400,401,404,405,406,407,412,413,416,417,422,423,424,427,431,436,437,
440,442,443,452,460,461,464,477,478,480,481,501,502,503,505,511,515,517,518,
525,526,537,542,546,553,576,579,582,589,592,596,604,609,611,615,620,626,634,
642,643,646,649,651,664,665,669,673,676,680,684,690,702,704,713,715,716,719,
721,724,731,756,757,764,776,777,799,802,811,812,814,815,822,826,827,828,830,
831,833,834,839,845,848,852,856,861,862,863,869,874,875,879,886,888,891,893,
894,899,908,910,912,914,950,952,958,959,966,967,972,973,974,977,980,983,984,
987,999,1005,1009,1013,1014,1015,1016,1031,1041,1051,1064,1065,1071,1089,1094,
1095,1097,1098,1101,1108,1110,1112,1114,1116,1124,1139,1140,1157,1171,1179,
1180,1223,1227,1232,1236,1238,1239,1247,1257,1262,1268,1271,1276,1288,1294,
1303,1309,1317,1334,1356,1358,1359,1360,1368,1415,1417,1422,1423,1426,1429,
1451,1461,1485,1534,1544,1546,1586],[1,2,4,6,7,8,12,13,14,15,16,17,18,19,20,
22,25,26,27,28,29,30,33,34,35,36,37,38,39,41,44,47,53,54,55,66,73,74,75,76,78,
79,81,87,89,90,91,92,93,95,96,99,100,101,102,103,104,105,107,108,109,110,111,
112,114,115,116,120,122,123,124,125,126,127,128,129,130,131,133,134,135,139,
142,143,145,146,147,149,150,156,157,161,165,167,168,169,177,179,182,183,191,
200,201,209,211,212,213,215,240,246,256,263,269,281,282,283,284,285,286,287,
288,289,291,292,294,295,296,297,298,301,302,305,306,307,308,310,314,315,319,
321,326,330,331,332,334,335,336,340,341,344,345,346,347,348,353,354,356,358,
361,369,372,373,375,376,381,384,385,386,388,390,393,395,397,398,399,400,401,
403,404,405,406,407,416,417,418,420,422,423,427,431,436,437,440,442,443,452,
460,461,463,464,477,478,480,481,486,501,502,503,505,506,511,513,515,518,525,
526,537,546,555,557,577,590,594,603,619,632,663,664,665,668,669,672,675,676,
678,680,684,687,689,690,694,695,696,700,702,704,707,711,715,717,719,721,722,
724,725,728,731,735,736,741,742,744,746,748,751,752,753,756,757,758,763,764,
765,774,776,777,781,785,795,799,802,810,811,812,815,816,817,822,826,827,828,
831,832,833,836,838,839,840,842,843,845,852,854,856,858,861,863,872,881,885,
887,890,892,910,912,914,948,953,1011,1021,1030,1037,1041,1047,1050,1051,1053,
1056,1057,1060,1062,1065,1067,1071,1072,1073,1081,1082,1084,1086,1089,1093,
1094,1095,1096,1097,1098,1100,1108,1109,1113,1117,1119,1123,1125,1126,1127,
1137,1138,1139,1145,1152,1155,1166,1215,1237,1245,1258,1259,1279,1296,1299,
1316,1317,1318,1319,1321,1325,1339,1352,1362,1401,1402,1424,1468,1479,1539,
1587],[1,2,3,4,6,7,8,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,33,34,
36,37,38,39,40,42,43,44,45,46,49,53,54,55,66,71,73,76,77,79,80,81,82,84,85,86,
89,92,93,95,96,97,98,99,100,101,107,108,111,113,117,118,120,124,125,128,129,
130,132,133,135,136,137,138,140,141,142,145,146,147,150,153,154,155,157,158,
161,162,166,167,168,170,171,173,175,176,177,178,180,182,185,186,187,190,191,
194,196,197,200,201,203,207,209,212,214,215,216,218,219,223,224,240,246,247,
263,269,280,283,285,288,289,291,293,295,296,297,299,300,301,303,308,314,316,
317,322,323,324,325,327,329,334,337,341,345,352,353,355,357,363,365,366,369,
371,372,377,379,389,390,391,400,403,404,405,409,410,411,412,415,417,421,423,
424,429,435,441,445,447,453,461,465,466,468,469,470,474,475,481,486,487,490,
491,494,497,498,502,503,510,511,512,514,516,523,526,530,531,533,535,536,537,
543,551,553,555,577,581,585,590,591,594,603,619,632,633,641,659,661,670,671,
672,673,674,682,687,696,704,705,711,712,716,718,719,720,724,727,742,744,749,
752,754,759,769,771,773,775,776,785,795,797,801,811,812,815,819,820,823,829,
841,845,847,848,855,857,859,865,874,877,886,888,889,893,896,903,905,908,910,
914,953,956,960,988,1020,1021,1030,1039,1054,1059,1060,1063,1064,1075,1084,
1090,1097,1101,1102,1103,1127,1128,1134,1136,1140,1142,1151,1154,1157,1181,
1182,1215,1231,1237,1245,1259,1293,1301,1302,1311,1333,1342,1344,1348,1360,
1362,1371,1439,1442,1465,1482,1539,1588],[1,2,3,4,5,6,7,8,10,13,14,15,16,17,
18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,
47,48,50,52,53,54,57,60,61,62,67,70,72,73,74,75,76,78,79,80,82,84,85,86,87,88,
89,90,91,92,93,94,95,96,98,99,104,105,106,107,108,113,116,118,120,121,122,123,
124,125,126,127,128,129,130,132,133,134,136,137,138,139,140,141,142,143,144,
145,146,147,149,151,152,153,154,155,156,157,158,159,160,161,162,165,166,167,
168,169,170,171,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,195,196,197,198,199,200,201,202,203,204,205,206,207,208,210,212,213,
215,216,217,218,219,220,221,222,223,225,245,249,258,262,265,266,267,268,271,
272,273,274,275,276,278,280,283,284,285,286,288,289,290,293,294,296,297,298,
299,300,301,302,303,304,305,306,307,309,310,312,313,315,316,317,320,321,322,
323,324,325,326,327,328,329,333,334,337,338,339,340,342,343,344,345,346,347,
348,350,351,352,354,355,356,357,358,359,360,361,362,363,368,369,371,372,373,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,397,398,400,402,403,404,405,410,414,416,417,419,421,422,423,425,
426,427,428,429,430,431,432,433,435,436,437,438,439,440,448,455,456,458,459,
460,461,463,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,482,
483,485,487,488,490,491,492,493,494,496,497,498,501,502,504,507,508,509,510,
511,512,514,516,517,519,521,522,523,524,526,527,528,529,530,531,532,533,534,
535,538,540,541,543,545,547,548,549,552,553,554,556,572,578,584,597,600,602,
607,616,617,621,630,631,636,637,638,650,652,656,657,658,661,662,663,664,665,
666,667,669,670,672,673,674,676,677,678,679,680,682,683,684,685,686,687,688,
690,691,692,693,695,696,697,698,699,700,701,703,704,705,706,707,708,709,710,
712,714,715,717,718,719,722,723,726,727,729,733,734,735,737,739,740,745,747,
748,752,753,756,758,759,760,761,762,768,769,770,772,773,775,776,778,779,780,
782,785,786,790,794,795,799,800,802,804,805,806,807,808,809,813,814,819,820,
821,826,827,828,829,834,835,843,844,847,848,849,855,857,859,866,870,872,874,
877,879,886,890,893,894,895,897,898,901,904,912,913,938,941,945,954,955,963,
964,970,979,989,990,994,995,1002,1004,1025,1026,1029,1035,1036,1044,1045,1047,
1050,1052,1053,1054,1059,1067,1069,1079,1080,1082,1083,1084,1088,1089,1090,
1099,1104,1106,1110,1113,1116,1120,1131,1134,1135,1136,1139,1140,1141,1142,
1149,1152,1153,1155,1156,1158,1161,1163,1167,1169,1173,1176,1177,1180,1181,
1214,1217,1220,1222,1230,1233,1240,1242,1248,1249,1250,1273,1281,1284,1286,
1326,1327,1333,1337,1338,1339,1346,1361,1364,1366,1368,1400,1407,1408,1410,
1411,1419,1421,1425,1435,1455,1456,1458,1459,1467,1487,1518,1521,1525,1526,
1530,1538,1548,1589],[1,2,3,5,6,7,9,10,11,15,21,24,31,32,35,37,39,41,45,46,49,
51,52,53,55,57,58,59,60,61,62,63,65,67,68,69,70,72,78,97,109,114,123,135,148,
163,188,193,194,203,205,214,217,227,228,230,234,235,236,237,238,241,244,245,
249,254,257,258,259,260,261,262,265,266,267,268,271,273,274,275,276,278,279,
311,333,349,401,434,520,551,558,559,561,562,563,564,565,566,567,568,570,571,
578,597,600,610,613,621,623,624,628,630,631,634,635,636,645,646,651,652,654,
818,915,916,917,918,919,920,921,922,923,925,926,927,928,929,930,931,933,934,
935,936,937,941,968,969,987,1027,1033,1034,1183,1184,1186,1187,1190,1191,1192,
1194,1195,1196,1197,1198,1199,1200,1203,1204,1205,1206,1207,1208,1209,1210,
1211,1308,1312,1313,1314,1315,1373,1374,1377,1378,1380,1382,1392,1394,1396,
1475,1476,1477,1478,1501,1550,1551,1552,1590],[1,2,4,6,7,9,10,11,13,15,22,27,
34,35,38,39,41,44,47,53,57,59,64,65,68,69,70,72,75,78,90,91,107,108,122,123,
125,126,128,129,139,227,228,230,233,234,237,238,239,244,249,250,252,253,254,
255,257,258,259,260,261,264,266,271,272,277,284,375,376,381,384,395,423,558,
562,563,565,568,570,573,579,583,584,592,596,597,602,604,613,614,615,620,622,
623,629,634,642,648,651,652,654,717,915,916,921,922,923,928,929,931,932,934,
938,942,943,947,954,971,976,983,984,986,991,992,995,1000,1002,1012,1014,1033,
1189,1191,1192,1193,1198,1204,1205,1207,1208,1273,1278,1282,1290,1314,1375,
1376,1381,1384,1385,1386,1389,1390,1391,1475,1476,1494,1495,1498,1508,1553,
1591],[1,2,4,5,9,10,11,15,22,23,34,44,48,57,58,59,60,63,64,67,88,90,129,166,
181,198,227,228,230,243,244,248,252,255,257,261,264,266,271,272,277,338,377,
395,558,559,561,564,567,569,576,587,602,604,605,608,614,617,620,637,654,739,
921,922,929,931,932,934,947,952,962,971,976,995,1002,1034,1188,1193,1202,1214,
1229,1277,1284,1314,1381,1384,1385,1389,1390,1500,1504,1507,1516,1553,1592],[
1,2,4,6,9,10,11,14,15,22,29,34,35,44,53,57,59,64,68,69,72,78,90,129,142,143,
156,201,215,227,228,230,232,238,242,244,252,254,255,257,259,260,261,264,266,
271,272,277,301,305,340,395,436,558,562,565,568,575,589,597,602,604,609,611,
613,614,620,623,627,634,638,654,678,915,921,922,923,929,931,932,934,946,947,
949,950,971,976,995,998,1002,1008,1015,1033,1185,1191,1193,1205,1207,1208,
1246,1249,1256,1314,1381,1383,1384,1385,1388,1389,1390,1476,1497,1499,1506,
1553,1593],[1,2,3,4,5,8,9,10,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,
50,52,57,59,60,61,62,64,67,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,
120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,200,
205,207,216,219,220,221,227,245,252,255,257,261,266,271,272,274,276,277,278,
283,288,316,320,322,323,324,325,328,329,337,338,339,351,352,356,357,361,371,
377,387,389,393,395,396,403,404,419,428,466,467,470,475,476,479,480,481,496,
497,517,527,531,533,553,558,559,566,572,578,582,600,602,604,607,614,616,617,
620,637,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,775,780,
808,814,829,834,847,886,895,918,922,929,933,947,955,959,964,970,976,979,994,
995,1002,1013,1016,1047,1079,1080,1088,1116,1136,1167,1193,1199,1214,1220,
1230,1240,1248,1251,1281,1284,1303,1366,1384,1385,1400,1419,1425,1444,1458,
1459,1504,1505,1512,1530,1538,1562,1567,1576,1594],[1,2,4,6,7,8,9,10,13,14,15,
16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,53,54,57,59,64,65,68,
69,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,122,
123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,156,157,
161,165,167,168,169,177,179,182,183,191,200,201,212,213,215,227,232,233,234,
237,238,239,242,250,252,253,254,255,257,259,260,261,266,271,272,277,283,284,
285,286,288,289,294,296,297,298,301,302,305,306,307,310,315,321,326,334,340,
344,345,346,347,348,354,356,358,361,369,372,373,375,376,381,384,385,386,388,
390,393,395,397,398,400,403,404,405,416,417,422,423,427,431,436,437,440,460,
461,463,480,481,501,502,511,526,558,568,570,572,573,575,579,582,583,589,592,
596,602,604,609,611,613,614,615,620,622,623,627,629,634,642,648,651,663,664,
665,669,672,676,678,680,684,687,690,695,696,700,704,707,715,717,719,722,735,
748,752,753,756,758,776,785,795,799,802,826,827,828,843,872,890,912,915,922,
923,929,942,943,946,947,949,950,959,964,966,967,972,973,974,976,983,984,986,
991,992,995,998,1000,1002,1008,1012,1013,1014,1015,1016,1024,1047,1050,1053,
1067,1082,1084,1089,1113,1139,1152,1155,1193,1204,1207,1208,1223,1235,1238,
1239,1246,1247,1248,1251,1253,1254,1256,1262,1264,1274,1278,1282,1283,1290,
1294,1303,1306,1309,1339,1375,1376,1383,1384,1385,1388,1404,1409,1415,1419,
1420,1423,1444,1448,1449,1450,1460,1473,1495,1498,1505,1506,1535,1540,1558,
1559,1567,1595],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,22,25,26,27,29,30,
33,34,35,36,37,38,39,41,44,47,53,54,55,57,59,64,65,68,69,70,72,73,74,75,76,78,
79,81,87,89,90,91,92,96,99,100,101,102,103,104,105,107,108,109,110,111,112,
114,115,116,122,123,124,125,126,128,129,130,131,133,134,135,139,142,143,145,
147,150,156,157,161,165,167,168,169,177,179,182,191,200,201,209,211,212,215,
227,231,233,234,235,236,237,238,239,242,250,252,253,254,257,258,259,260,261,
266,272,277,281,282,284,285,286,287,289,291,292,294,295,296,297,298,301,302,
305,306,307,308,314,319,321,326,330,331,332,334,335,336,340,341,344,345,353,
354,356,358,369,372,375,376,381,384,390,393,395,397,398,399,400,401,403,405,
406,407,417,418,420,422,423,427,431,436,437,442,443,452,460,461,463,464,477,
478,481,503,505,506,513,515,518,526,537,557,558,563,565,568,570,572,573,575,
579,582,583,584,596,597,599,602,604,609,610,613,614,615,618,622,623,626,627,
628,629,634,635,638,640,643,646,648,650,651,663,664,668,669,675,678,689,695,
700,702,704,707,717,722,724,725,728,731,735,746,748,751,752,753,757,758,763,
764,774,776,781,810,811,812,815,816,817,831,832,833,836,838,839,840,842,843,
845,852,854,858,872,881,885,887,890,892,910,912,914,915,916,929,936,937,939,
942,943,946,947,950,954,957,958,966,967,968,972,973,977,980,984,987,990,991,
992,993,995,996,998,1003,1010,1013,1014,1016,1024,1050,1056,1062,1072,1096,
1097,1100,1108,1109,1123,1125,1126,1138,1145,1155,1187,1189,1193,1204,1205,
1208,1219,1221,1223,1224,1226,1227,1228,1235,1238,1241,1242,1246,1248,1249,
1251,1253,1254,1264,1270,1271,1274,1276,1278,1282,1283,1294,1306,1325,1375,
1379,1385,1388,1391,1392,1403,1407,1412,1413,1420,1429,1431,1446,1450,1457,
1460,1469,1495,1497,1503,1505,1514,1519,1557,1558,1561,1575,1596],[1,2,4,6,7,
8,9,10,13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,39,44,49,53,54,57,59,
64,65,68,70,72,73,74,75,76,78,79,87,89,90,91,92,96,99,107,116,119,122,124,125,
129,130,133,142,143,147,156,157,161,167,168,173,175,177,179,182,194,200,201,
212,215,227,237,239,250,252,253,254,257,258,259,261,266,272,277,285,298,301,
302,305,306,334,340,345,356,365,367,369,372,375,390,393,395,397,398,400,403,
405,411,413,417,422,427,431,436,460,461,481,536,542,558,563,565,572,573,579,
582,583,584,596,597,602,604,613,614,615,629,634,638,650,669,678,695,700,713,
720,722,752,753,758,776,865,875,890,899,903,912,916,927,929,947,950,954,966,
967,972,984,990,991,995,998,1013,1016,1043,1092,1112,1128,1155,1189,1193,1195,
1205,1238,1242,1246,1248,1249,1251,1254,1264,1283,1294,1322,1385,1391,1407,
1420,1497,1503,1505,1557,1571,1597],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,
19,22,23,24,27,29,30,31,32,33,34,35,36,38,39,40,43,44,48,50,52,53,54,57,59,60,
61,62,64,65,67,68,70,72,73,74,75,76,78,79,82,84,87,88,89,90,91,92,94,96,98,99,
106,107,116,118,122,124,125,129,130,133,136,138,141,142,143,144,147,151,152,
153,155,156,157,158,159,160,161,166,167,168,170,177,179,180,181,182,184,189,
190,192,195,198,200,201,202,204,206,208,212,215,217,218,220,221,222,225,227,
237,239,250,252,253,254,257,258,259,261,265,266,268,272,273,274,275,276,277,
285,290,293,298,301,302,305,306,309,312,316,320,322,324,328,334,337,338,339,
340,342,345,356,359,360,362,363,369,372,375,377,378,379,380,383,390,392,393,
395,397,398,400,402,403,405,417,419,422,425,426,427,431,436,438,455,458,459,
460,461,465,472,481,483,485,496,504,508,519,521,527,532,534,541,549,552,553,
558,559,563,565,566,572,573,579,582,583,584,596,597,602,604,607,613,614,615,
616,617,629,630,634,637,638,650,657,661,667,669,673,678,679,695,700,708,709,
722,729,737,739,740,752,753,758,768,769,772,776,813,844,848,859,874,890,893,
897,898,904,912,913,916,918,919,925,926,929,945,947,950,954,963,966,967,970,
972,984,990,991,994,995,998,1013,1016,1025,1029,1036,1079,1083,1104,1140,1142,
1155,1158,1169,1176,1177,1189,1193,1205,1210,1214,1230,1238,1242,1246,1248,
1249,1251,1254,1264,1281,1283,1284,1286,1294,1346,1385,1391,1407,1411,1420,
1421,1425,1435,1458,1467,1497,1503,1504,1505,1512,1518,1557,1565,1569,1573,
1576,1598],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,22,27,29,30,33,34,35,36,38,
39,44,53,54,57,59,64,65,68,70,72,73,74,75,76,78,79,87,89,90,91,92,96,99,107,
114,115,116,122,124,125,127,128,129,130,131,133,142,143,145,147,149,156,157,
161,167,168,177,179,182,200,201,212,215,227,232,237,238,239,250,252,253,254,
257,258,259,261,266,272,277,282,285,287,291,296,298,301,302,305,306,310,314,
315,321,334,336,340,345,356,369,372,375,381,390,393,395,397,398,400,403,405,
417,418,420,422,427,431,436,440,460,461,464,481,486,511,525,555,557,558,563,
565,572,573,579,582,583,584,596,597,599,602,604,610,611,613,614,615,627,629,
634,638,642,650,663,669,675,678,680,684,695,700,711,722,731,744,751,752,753,
758,776,785,802,812,816,832,840,856,858,861,863,890,912,916,923,929,947,949,
950,954,957,966,967,972,974,981,982,984,986,990,991,992,995,998,1013,1016,
1031,1067,1071,1073,1093,1098,1119,1125,1127,1155,1186,1189,1193,1205,1226,
1235,1238,1239,1242,1246,1248,1249,1251,1254,1260,1262,1264,1270,1283,1294,
1318,1376,1383,1385,1391,1403,1407,1417,1420,1432,1433,1448,1473,1497,1503,
1505,1513,1547,1557,1559,1599],[1,2,3,4,5,7,8,9,10,15,16,17,18,20,21,22,23,27,
30,32,33,34,36,38,40,41,42,43,44,45,46,47,48,50,52,54,57,59,60,61,62,64,65,67,
70,73,74,75,76,79,80,82,85,86,88,89,90,92,94,96,98,108,113,116,118,126,127,
128,129,130,134,136,137,140,144,145,147,149,152,153,154,157,158,159,161,162,
165,166,169,170,171,176,178,180,181,183,185,186,187,188,189,191,195,196,197,
198,200,202,204,206,207,210,213,216,219,220,221,222,223,227,233,234,239,245,
249,250,252,257,261,262,265,266,267,268,272,274,276,277,278,280,285,296,299,
300,304,307,310,313,316,317,320,322,323,324,325,326,328,329,337,338,339,343,
344,350,352,356,359,362,368,369,371,373,376,377,378,380,382,383,393,394,395,
397,398,403,414,416,419,421,426,430,432,433,439,448,456,463,470,471,473,481,
482,488,492,493,496,497,501,502,507,509,511,522,523,524,526,527,528,529,530,
531,533,535,538,540,545,548,553,554,556,558,559,563,566,572,582,583,584,592,
602,604,607,614,615,616,617,621,636,637,642,648,650,656,657,661,666,673,676,
677,683,687,695,698,703,705,708,712,715,723,726,733,734,739,758,769,772,775,
778,779,795,802,814,820,843,848,855,857,877,879,894,898,913,918,919,920,928,
929,933,935,938,942,945,947,955,966,970,972,979,989,994,995,1004,1012,1013,
1016,1024,1025,1026,1054,1069,1079,1080,1090,1099,1106,1120,1135,1152,1156,
1177,1180,1181,1189,1193,1196,1214,1217,1230,1233,1242,1247,1248,1251,1254,
1262,1274,1281,1284,1327,1385,1386,1400,1410,1421,1425,1449,1455,1456,1458,
1459,1467,1503,1504,1505,1512,1521,1525,1560,1562,1563,1565,1572,1576,1600],[
1,2,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,
41,44,47,53,54,57,59,64,69,70,72,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,
104,105,107,108,116,120,122,123,124,125,126,127,128,129,130,133,134,139,142,
143,145,146,147,149,156,157,161,165,167,168,169,177,179,182,183,191,200,201,
212,213,215,230,232,238,242,244,249,251,252,255,257,258,260,261,264,266,271,
272,277,283,284,285,286,288,289,294,296,297,298,301,302,305,306,307,310,315,
321,326,334,340,344,345,346,347,348,354,356,358,361,369,372,373,375,376,381,
384,385,386,388,390,393,395,397,398,400,403,404,405,416,417,422,423,427,431,
436,437,440,460,461,463,480,481,501,502,511,526,562,572,575,582,584,589,597,
602,604,609,611,614,620,623,627,638,650,651,652,663,664,665,669,672,676,678,
680,684,687,690,695,696,700,704,707,715,717,719,722,735,748,752,753,756,758,
776,785,795,799,802,826,827,828,843,872,890,912,931,932,934,938,940,946,947,
949,951,954,959,964,971,973,974,976,989,990,992,995,1002,1008,1013,1014,1015,
1016,1047,1050,1053,1067,1082,1084,1089,1113,1139,1152,1155,1185,1191,1198,
1223,1235,1239,1242,1248,1249,1250,1251,1256,1273,1278,1303,1306,1309,1339,
1387,1389,1390,1404,1407,1410,1415,1419,1436,1444,1450,1473,1499,1508,1511,
1540,1548,1570,1601],[1,2,3,4,6,7,9,10,13,15,21,22,25,26,27,30,34,35,37,38,39,
40,41,43,44,47,49,53,54,59,61,62,65,68,69,70,75,77,78,81,82,85,89,90,91,101,
103,107,108,110,111,112,115,116,119,122,123,125,126,128,129,131,139,147,157,
158,161,162,170,173,178,180,185,186,211,214,223,227,231,234,236,237,238,239,
250,257,260,261,266,267,272,280,282,284,285,292,295,299,314,316,330,332,335,
337,341,369,375,376,381,384,395,397,398,399,408,415,418,421,423,442,443,447,
457,477,535,536,542,557,563,566,568,570,583,584,599,604,607,615,616,618,623,
634,640,643,650,651,668,695,708,713,717,720,724,751,803,810,833,836,841,855,
877,879,881,882,905,920,927,929,936,942,947,966,972,977,980,984,992,993,995,
1004,1014,1075,1077,1092,1109,1144,1156,1171,1189,1197,1204,1208,1221,1227,
1228,1230,1242,1254,1270,1278,1281,1282,1331,1379,1385,1455,1457,1495,1503,
1512,1561,1563,1571,1602],[1,2,3,4,5,8,10,11,15,16,17,18,22,23,28,33,34,36,40,
42,43,44,45,48,50,52,57,58,60,62,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,
118,120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,
200,205,207,216,219,220,221,228,244,245,251,264,266,271,272,276,283,288,316,
320,322,323,324,325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,
393,395,396,403,404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,
531,533,553,561,572,578,602,608,612,616,624,637,657,661,673,688,690,693,696,
701,705,708,712,739,747,758,772,775,780,808,814,829,834,847,886,895,921,940,
951,955,964,970,971,995,1002,1047,1079,1080,1088,1116,1136,1167,1200,1220,
1248,1263,1277,1281,1284,1285,1366,1381,1419,1436,1458,1459,1516,1520,1530,
1566,1603],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,22,27,29,30,33,34,35,36,
38,39,41,44,47,53,54,57,59,64,65,68,69,70,73,74,75,76,78,79,87,89,90,91,92,96,
102,103,104,105,107,108,109,110,112,116,122,123,124,125,126,127,128,129,130,
133,134,139,142,143,145,147,149,156,157,161,165,167,168,169,177,179,183,191,
200,211,212,213,215,227,232,233,234,237,238,239,242,249,250,252,253,254,257,
259,260,261,266,272,277,281,284,285,286,289,291,292,294,296,297,298,302,305,
306,307,310,314,315,319,321,326,330,331,332,335,336,341,344,345,353,354,356,
358,369,373,375,376,381,384,390,393,395,397,398,400,403,405,416,418,422,423,
427,431,436,437,440,452,463,481,501,502,505,506,511,513,525,526,546,555,558,
563,568,570,572,575,582,583,584,592,596,601,602,604,609,611,614,615,618,622,
623,627,628,629,634,635,640,642,648,650,651,663,664,668,676,680,684,687,689,
694,695,704,707,711,715,717,735,742,746,748,758,763,765,781,785,795,802,812,
815,822,838,842,843,852,856,858,861,863,872,881,885,887,890,912,915,923,928,
929,938,939,942,943,946,947,949,950,966,967,972,973,974,982,984,986,989,992,
995,996,998,999,1007,1012,1013,1014,1016,1022,1024,1031,1037,1050,1051,1057,
1060,1065,1067,1071,1072,1086,1117,1119,1126,1152,1184,1189,1193,1204,1208,
1219,1221,1223,1228,1235,1239,1241,1242,1247,1248,1251,1253,1254,1262,1264,
1274,1278,1282,1289,1294,1298,1304,1306,1319,1375,1376,1383,1385,1386,1388,
1399,1406,1410,1417,1422,1431,1432,1446,1448,1449,1450,1460,1473,1495,1502,
1503,1505,1510,1527,1533,1558,1559,1560,1604],[1,2,3,4,6,7,8,9,10,13,14,15,16,
17,18,19,21,22,24,27,29,30,33,34,35,36,38,39,40,42,43,44,45,46,53,54,57,59,61,
62,64,65,68,70,72,73,74,75,76,78,79,80,82,84,85,86,87,89,90,91,92,96,99,107,
113,116,122,124,125,129,130,132,133,137,138,140,141,142,143,147,154,155,156,
157,158,161,162,167,168,170,171,176,177,178,179,180,182,185,186,187,190,196,
197,200,201,203,207,212,215,216,218,219,223,227,237,239,245,250,252,253,254,
257,258,259,261,262,266,267,272,273,277,278,280,285,293,298,299,300,301,302,
303,305,306,316,317,323,325,327,329,334,337,340,345,352,355,356,363,369,371,
372,375,379,390,391,393,395,397,398,400,403,405,410,417,421,422,427,429,431,
435,436,460,461,465,468,469,470,474,481,487,490,491,494,497,498,510,512,514,
516,523,530,531,533,535,543,558,563,565,566,572,573,579,582,583,584,596,597,
602,604,607,613,614,615,616,629,631,634,638,650,669,670,674,678,682,695,700,
705,708,712,718,722,727,752,753,758,759,773,775,776,814,819,820,855,857,859,
877,879,890,893,894,897,912,916,920,925,929,933,935,947,950,954,955,966,967,
972,979,984,990,991,995,998,1004,1013,1016,1026,1029,1059,1080,1110,1134,1135,
1149,1155,1156,1158,1161,1163,1189,1193,1205,1211,1222,1230,1238,1242,1246,
1248,1249,1251,1254,1264,1281,1283,1294,1326,1385,1391,1400,1407,1411,1420,
1455,1456,1459,1497,1503,1505,1512,1526,1557,1562,1563,1569,1572,1605],[1,2,3,
4,6,7,9,10,13,15,22,25,26,27,30,34,35,37,38,39,40,41,43,44,46,47,49,53,54,59,
61,62,65,68,69,70,75,78,81,82,89,90,91,97,101,103,107,108,110,111,112,113,115,
116,119,122,123,125,126,128,129,131,137,139,140,147,157,158,161,170,171,173,
176,180,187,211,224,227,231,234,236,237,238,239,250,257,260,261,262,266,272,
282,284,285,292,295,300,314,316,317,330,332,335,337,341,369,375,376,381,384,
395,397,398,399,418,423,442,443,445,446,453,454,477,523,530,536,542,557,563,
566,568,570,583,584,599,604,607,615,616,618,623,634,640,643,650,651,659,660,
668,695,708,713,717,720,724,751,797,798,810,820,833,836,857,881,894,927,929,
935,936,942,947,966,972,977,980,984,992,993,995,1014,1026,1076,1092,1103,1109,
1135,1170,1179,1189,1190,1204,1208,1221,1227,1228,1230,1242,1254,1270,1278,
1281,1282,1335,1379,1385,1456,1457,1495,1503,1512,1561,1571,1572,1606],[1,2,3,
4,5,8,9,10,11,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,57,58,59,
61,63,64,67,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,130,
136,146,153,154,158,166,170,180,181,195,196,197,198,199,200,205,207,216,219,
220,221,230,243,244,248,251,252,255,257,261,264,266,271,272,274,277,278,283,
288,316,320,322,323,324,325,328,329,337,338,339,351,352,356,357,361,371,377,
387,389,393,395,396,403,404,419,428,466,467,470,475,476,479,480,481,496,497,
517,527,531,533,553,567,569,571,572,576,582,587,600,602,604,605,607,608,612,
614,617,620,624,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,
775,780,808,814,829,834,847,886,895,931,932,934,940,947,951,952,959,962,964,
971,976,978,979,994,995,1002,1005,1013,1016,1047,1079,1080,1088,1116,1136,
1167,1202,1206,1214,1218,1225,1229,1230,1232,1240,1248,1251,1263,1275,1277,
1285,1303,1366,1387,1389,1390,1400,1419,1425,1436,1438,1444,1451,1496,1507,
1520,1536,1538,1570,1607],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,22,27,28,
29,30,33,34,35,36,38,39,41,44,47,53,54,57,59,64,65,68,70,72,73,74,75,76,78,79,
87,89,90,91,92,93,95,96,99,104,105,107,108,116,120,122,123,124,125,126,127,
128,129,130,133,134,139,142,143,145,146,147,149,156,157,161,165,167,168,169,
177,179,182,183,191,200,201,212,213,215,227,233,234,237,239,249,250,252,253,
254,255,257,258,259,261,266,271,272,277,283,284,285,286,288,289,294,296,297,
298,301,302,305,306,307,310,315,321,326,334,340,344,345,346,347,348,354,356,
358,361,369,372,373,375,376,381,384,385,386,388,390,393,395,397,398,400,403,
404,405,416,417,422,423,427,431,436,437,440,460,461,463,480,481,501,502,511,
526,558,563,565,570,572,573,579,582,583,584,592,596,597,602,604,613,614,615,
620,622,629,634,638,642,648,650,652,663,664,665,669,672,676,678,680,684,687,
690,695,696,700,704,707,715,717,719,722,735,748,752,753,756,758,776,785,795,
799,802,826,827,828,843,872,890,912,916,922,928,929,938,942,943,947,950,954,
959,964,966,967,972,976,983,984,986,989,990,991,995,998,1000,1002,1012,1013,
1016,1024,1047,1050,1053,1067,1082,1084,1089,1113,1139,1152,1155,1189,1192,
1193,1205,1238,1242,1246,1247,1248,1249,1250,1251,1253,1254,1262,1264,1273,
1274,1282,1283,1290,1294,1303,1339,1384,1385,1386,1391,1407,1409,1410,1419,
1420,1423,1444,1448,1449,1460,1494,1497,1503,1505,1535,1548,1557,1560,1567,
1608],[1,2,3,4,5,8,11,12,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,
52,56,58,66,71,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,
130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,200,205,207,216,
219,220,221,226,240,244,246,247,251,256,264,270,283,288,316,320,322,323,324,
325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,
404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,533,553,560,
574,581,585,590,591,593,603,608,612,619,624,632,657,661,673,688,690,693,696,
701,705,708,712,739,747,758,772,775,780,808,814,829,834,847,886,895,924,940,
948,951,953,956,960,961,965,971,988,997,1011,1047,1079,1080,1088,1116,1136,
1167,1201,1215,1231,1252,1263,1277,1285,1291,1366,1393,1427,1436,1442,1468,
1509,1520,1541,1555,1609],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,22,27,29,30,
33,34,35,36,38,39,44,51,53,54,57,59,64,65,68,70,72,73,74,75,76,78,79,87,89,90,
91,92,96,99,107,116,117,122,124,125,129,130,133,142,143,147,156,157,161,167,
168,172,174,177,179,182,193,200,201,212,215,227,237,239,250,252,253,254,257,
258,259,261,266,272,277,285,298,301,302,305,306,334,340,345,356,364,366,369,
370,372,375,390,393,395,397,398,400,403,405,412,417,422,424,427,431,436,460,
461,462,481,558,563,565,572,573,579,582,583,584,596,597,602,604,613,614,615,
629,634,638,650,669,678,681,695,700,716,722,752,753,758,776,824,888,890,907,
908,912,916,917,929,947,950,954,966,967,972,984,990,991,995,998,1013,1016,
1061,1091,1155,1157,1159,1189,1193,1205,1209,1238,1242,1246,1248,1249,1251,
1254,1264,1283,1294,1336,1385,1391,1407,1420,1497,1503,1505,1557,1568,1610],[
1,2,3,4,6,7,9,10,13,14,15,22,24,25,27,29,34,35,37,38,39,40,41,43,44,47,51,53,
55,59,61,62,65,68,69,72,75,78,81,82,84,90,91,100,102,107,108,109,110,112,114,
115,117,122,123,125,126,128,129,135,138,139,141,142,143,155,156,158,163,164,
170,172,180,190,201,215,218,227,234,235,236,237,238,254,257,259,260,261,266,
272,273,281,284,287,291,293,301,305,308,316,319,331,336,337,340,353,363,375,
376,379,381,384,395,401,420,423,424,436,442,444,451,452,462,465,478,495,500,
518,565,566,568,570,597,604,607,610,613,615,616,623,628,634,635,638,646,651,
678,681,689,708,716,717,725,728,755,793,796,831,832,838,845,850,859,893,897,
917,925,929,937,942,947,950,968,977,984,987,992,995,998,1014,1029,1042,1058,
1064,1087,1091,1145,1158,1183,1204,1205,1208,1219,1226,1230,1241,1246,1249,
1276,1278,1281,1282,1323,1385,1392,1411,1469,1495,1497,1512,1568,1569,1575,
1611],[1,2,4,5,6,7,9,10,13,14,15,22,23,25,27,29,31,34,35,37,38,39,41,44,47,48,
51,53,55,59,60,65,67,68,69,72,75,78,81,83,88,90,91,100,102,106,107,108,109,
110,112,114,115,117,122,123,125,126,128,129,135,139,142,143,148,151,156,160,
166,172,181,184,192,198,201,208,215,227,234,235,236,237,238,254,257,259,260,
261,266,272,275,281,284,287,291,301,305,308,309,319,331,336,338,340,353,360,
375,376,377,381,384,395,401,420,423,424,436,442,449,450,452,458,462,478,499,
504,518,539,559,565,568,570,597,604,610,613,615,617,623,628,634,635,637,638,
646,651,678,681,689,716,717,725,728,739,768,787,788,791,792,831,832,838,845,
874,904,917,926,929,937,942,947,950,963,968,977,984,987,992,995,998,1014,1074,
1085,1091,1101,1111,1145,1176,1194,1204,1205,1208,1214,1219,1226,1241,1246,
1249,1276,1278,1282,1284,1343,1385,1392,1435,1469,1495,1497,1504,1568,1573,
1575,1612],[1,2,3,4,5,8,9,10,11,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,
48,50,52,57,59,60,62,63,64,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,
120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,197,198,199,200,
205,207,216,219,220,221,230,243,244,245,248,251,252,255,257,261,264,266,271,
272,276,277,283,288,316,320,322,323,324,325,328,329,337,338,339,351,352,356,
357,361,371,377,387,389,393,395,396,403,404,419,428,466,467,470,475,476,479,
480,481,496,497,517,527,531,533,553,564,569,571,572,576,578,582,587,602,604,
605,614,616,620,637,657,661,673,688,690,693,696,701,705,708,712,739,747,758,
772,775,780,808,814,829,834,847,886,895,931,932,934,940,947,951,952,955,959,
962,964,970,971,976,978,995,1002,1005,1013,1016,1047,1079,1080,1088,1116,1136,
1167,1188,1203,1218,1220,1225,1229,1232,1248,1251,1275,1281,1284,1303,1366,
1387,1389,1390,1419,1436,1438,1444,1451,1458,1459,1500,1515,1530,1536,1570,
1613],[1,2,3,4,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
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,
56,66,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,240,246,247,256,
263,269,270,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,
448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,
467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,
505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,
524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,
543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,574,577,581,585,
590,591,593,594,603,619,632,633,639,641,644,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,
797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,
835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,
873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,
892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,
911,912,913,914,948,953,956,960,961,965,988,997,1011,1017,1020,1021,1030,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1215,1231,1237,
1245,1252,1258,1259,1269,1279,1291,1292,1293,1296,1299,1301,1302,1305,1310,
1311,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1398,1401,
1402,1416,1424,1427,1437,1439,1441,1442,1443,1454,1465,1466,1468,1470,1471,
1474,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,
1493,1524,1529,1539,1541,1554,1582,1587,1588,1614],[1,2,3,4,5,6,7,8,9,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,63,64,65,68,69,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,223,224,225,231,232,233,234,235,236,237,238,239,241,
242,243,248,250,252,253,254,255,257,259,260,261,277,279,280,281,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,
437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,
456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,
475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,
532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,569,570,571,573,575,576,579,580,582,583,586,587,
588,589,592,595,596,598,599,601,604,605,606,609,610,611,613,614,615,618,620,
622,623,625,626,627,628,629,634,635,640,642,643,645,646,647,648,649,651,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,
809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,
828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,
866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,
885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,
904,905,906,907,908,909,910,911,912,913,914,939,942,943,944,946,947,949,950,
952,957,958,959,962,966,967,968,969,972,973,974,975,976,977,978,980,981,982,
983,984,985,986,987,991,992,993,996,998,999,1000,1001,1003,1005,1006,1007,
1008,1009,1010,1012,1013,1014,1015,1016,1018,1019,1022,1023,1024,1027,1028,
1031,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,
1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,
1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,
1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,
1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,
1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1213,
1216,1218,1219,1221,1223,1224,1225,1226,1227,1228,1229,1232,1234,1235,1236,
1238,1239,1241,1243,1244,1246,1247,1251,1253,1254,1255,1256,1257,1260,1261,
1262,1264,1265,1266,1267,1268,1270,1271,1272,1274,1275,1276,1278,1280,1282,
1283,1287,1288,1289,1290,1294,1295,1297,1298,1300,1303,1304,1306,1307,1308,
1309,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1399,1403,
1404,1405,1406,1409,1412,1413,1414,1415,1417,1418,1420,1422,1423,1426,1428,
1429,1430,1431,1432,1433,1434,1438,1440,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1457,1460,1461,1462,1463,1464,1469,1472,1473,1479,1480,1481,
1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1519,1522,1523,
1527,1528,1531,1532,1533,1534,1535,1536,1537,1540,1542,1543,1544,1545,1546,
1547,1549,1554,1579,1580,1581,1583,1584,1585,1586,1615],[1,2,4,6,9,10,11,14,
15,22,29,34,35,44,51,53,57,59,64,68,69,72,78,90,117,129,142,143,156,172,201,
215,227,228,230,232,238,241,242,244,252,254,255,257,259,260,261,264,266,271,
272,277,301,305,340,395,424,436,462,558,562,565,568,575,589,597,602,604,609,
611,613,614,620,623,627,634,638,647,649,654,678,681,716,915,917,921,922,923,
929,931,932,934,946,947,949,950,971,976,995,998,1002,1008,1009,1015,1028,1033,
1091,1185,1191,1193,1205,1207,1208,1246,1249,1256,1280,1288,1312,1314,1381,
1383,1384,1385,1388,1389,1390,1405,1476,1497,1499,1506,1553,1568,1593,1616],[
1,2,4,6,7,9,10,11,13,14,15,22,25,27,29,34,35,37,38,39,41,44,47,53,55,57,59,64,
65,68,69,70,72,75,78,81,90,91,100,102,107,108,109,110,112,114,115,122,123,125,
126,128,129,135,139,142,143,156,201,215,227,228,230,231,232,233,234,235,236,
237,238,239,242,244,249,250,252,253,254,255,257,258,259,260,261,264,266,271,
272,277,281,284,287,291,301,305,308,319,331,336,340,353,375,376,381,384,395,
401,420,423,436,442,452,478,518,558,562,563,565,568,570,573,575,579,583,584,
589,592,596,597,599,601,602,604,609,610,611,613,614,615,618,620,622,623,626,
627,628,629,634,635,638,640,642,643,646,648,651,652,654,678,689,717,725,728,
831,832,838,845,915,916,921,922,923,928,929,931,932,934,936,937,938,939,942,
943,946,947,949,950,954,957,958,968,971,976,977,981,982,983,984,986,987,991,
992,993,995,996,998,999,1000,1002,1003,1007,1008,1010,1012,1014,1015,1022,
1031,1033,1145,1184,1185,1186,1187,1189,1191,1192,1193,1198,1204,1205,1207,
1208,1219,1224,1226,1241,1246,1249,1256,1257,1260,1273,1276,1278,1282,1289,
1290,1295,1298,1307,1313,1314,1375,1376,1379,1380,1381,1383,1384,1385,1386,
1388,1389,1390,1391,1392,1428,1469,1475,1476,1494,1495,1497,1498,1499,1502,
1506,1508,1510,1513,1514,1551,1553,1564,1575,1591,1593,1617],[1,2,4,8,9,10,11,
15,16,17,18,22,28,33,34,36,44,57,59,64,73,74,76,79,90,92,93,95,96,120,129,130,
146,200,227,228,230,244,251,252,255,257,261,264,266,271,272,277,283,288,356,
361,393,395,403,404,480,481,558,572,582,602,604,614,620,654,690,696,758,921,
922,929,931,932,934,940,947,951,959,964,971,976,995,1002,1013,1016,1047,1193,
1248,1251,1303,1314,1381,1384,1385,1387,1389,1390,1419,1436,1444,1505,1553,
1566,1567,1570,1618],[1,2,4,8,10,11,15,16,17,18,22,28,33,34,36,44,57,73,74,76,
79,90,92,93,95,96,120,129,130,146,200,228,229,244,251,264,266,271,272,283,288,
356,361,393,395,403,404,480,481,572,602,655,690,696,758,921,940,951,964,971,
995,1002,1047,1248,1381,1419,1436,1556,1566,1619],[1,2,4,8,10,11,12,15,16,17,
18,22,28,33,34,36,44,57,66,73,74,76,79,90,92,93,95,96,120,129,130,146,200,226,
228,240,244,246,251,256,264,266,271,272,283,288,356,361,393,395,403,404,480,
481,572,590,602,603,619,632,653,690,696,758,921,924,940,948,951,953,964,971,
995,1002,1011,1047,1215,1248,1381,1393,1419,1436,1468,1555,1566,1620],[1,2,4,
5,6,9,10,11,14,15,22,23,29,31,34,35,44,48,53,57,58,59,60,63,64,67,68,69,72,78,
88,90,106,129,142,143,151,156,160,166,181,184,192,198,201,208,215,227,228,230,
232,238,242,243,244,248,252,254,255,257,259,260,261,264,266,271,272,275,277,
279,301,305,309,338,340,360,377,395,436,458,504,558,559,561,562,564,565,567,
568,569,575,576,580,586,587,588,589,595,597,598,602,604,605,606,608,609,611,
613,614,617,620,623,627,634,637,638,654,678,739,768,874,904,915,921,922,923,
926,929,930,931,932,934,946,947,949,950,952,962,963,971,976,995,998,1001,1002,
1006,1008,1015,1019,1023,1033,1034,1176,1185,1188,1191,1193,1202,1205,1207,
1208,1213,1214,1216,1229,1236,1246,1249,1256,1277,1284,1314,1315,1381,1383,
1384,1385,1388,1389,1390,1395,1434,1435,1476,1497,1499,1500,1504,1506,1507,
1516,1553,1573,1574,1592,1593,1621],[1,2,3,4,6,7,8,9,10,13,14,15,16,17,18,19,
21,22,24,27,29,30,33,34,35,36,38,39,40,42,43,44,45,46,51,53,54,57,59,61,62,64,
65,68,70,72,73,74,75,76,78,79,80,82,84,85,86,87,89,90,91,92,96,99,107,113,114,
115,116,117,122,124,125,127,128,129,130,131,132,133,137,138,140,141,142,143,
145,147,149,154,155,156,157,158,161,162,167,168,170,171,172,174,176,177,178,
179,180,182,185,186,187,190,193,196,197,200,201,203,207,212,215,216,218,219,
223,227,232,237,238,239,245,250,252,253,254,257,258,259,261,262,266,267,272,
273,277,278,280,282,285,287,291,293,296,298,299,300,301,302,303,305,306,310,
314,315,316,317,318,321,323,325,327,329,334,336,337,340,345,352,355,356,363,
364,366,369,370,371,372,375,379,381,390,391,393,395,397,398,400,403,405,410,
412,417,418,420,421,422,424,427,429,431,435,436,440,460,461,462,464,465,468,
469,470,474,481,486,487,490,491,494,497,498,510,511,512,514,516,520,523,525,
530,531,533,535,543,555,557,558,563,565,566,572,573,579,582,583,584,596,597,
599,602,604,607,610,611,613,614,615,616,627,629,631,634,638,642,650,663,669,
670,674,675,678,680,681,682,684,695,700,705,708,711,712,716,718,722,727,731,
744,751,752,753,758,759,771,773,775,776,785,802,812,814,816,819,820,823,824,
832,837,840,851,855,856,857,858,859,860,861,863,877,879,883,888,889,890,893,
894,896,897,907,908,912,916,917,920,923,925,929,933,935,947,949,950,954,955,
957,966,967,972,974,979,981,982,984,986,990,991,992,995,998,1004,1013,1016,
1026,1029,1031,1059,1061,1067,1068,1071,1073,1080,1091,1093,1098,1102,1110,
1119,1125,1127,1134,1135,1149,1151,1155,1156,1157,1158,1159,1161,1163,1165,
1186,1189,1193,1205,1209,1211,1222,1226,1230,1235,1238,1239,1242,1246,1248,
1249,1251,1254,1260,1262,1264,1270,1281,1283,1294,1318,1326,1336,1344,1351,
1353,1356,1373,1376,1383,1385,1391,1400,1403,1407,1411,1417,1420,1432,1433,
1448,1455,1456,1459,1473,1490,1497,1503,1505,1512,1513,1526,1547,1557,1559,
1562,1563,1568,1569,1572,1599,1605,1610,1622],[1,2,4,6,7,8,9,10,13,14,15,16,
17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,49,51,53,54,57,59,64,65,
68,70,72,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,117,
119,120,122,123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,
149,156,157,161,165,167,168,169,172,173,174,175,177,179,182,183,191,193,194,
200,201,212,213,215,227,233,234,237,239,249,250,252,253,254,255,257,258,259,
261,266,271,272,277,283,284,285,286,288,289,294,296,297,298,301,302,305,306,
307,310,315,321,326,334,340,344,345,346,347,348,354,356,358,361,364,365,366,
367,369,370,372,373,374,375,376,381,384,385,386,388,390,393,395,397,398,400,
403,404,405,411,412,413,416,417,422,423,424,427,431,434,436,437,440,460,461,
462,463,480,481,484,501,502,511,526,536,542,558,563,565,570,572,573,579,582,
583,584,592,596,597,602,604,613,614,615,620,622,629,634,638,642,648,650,652,
663,664,665,669,672,676,678,680,681,684,687,690,695,696,700,704,707,713,715,
716,717,719,720,722,735,748,752,753,756,758,776,785,795,799,802,824,826,827,
828,830,843,846,853,862,865,869,871,872,875,888,890,891,899,903,907,908,911,
912,916,917,922,927,928,929,938,942,943,947,950,954,959,964,966,967,972,976,
983,984,986,989,990,991,995,998,1000,1002,1012,1013,1016,1024,1043,1047,1050,
1053,1061,1067,1070,1082,1084,1089,1091,1092,1112,1113,1114,1121,1122,1124,
1128,1139,1152,1154,1155,1157,1159,1189,1192,1193,1195,1205,1209,1238,1242,
1246,1247,1248,1249,1250,1251,1253,1254,1262,1264,1273,1274,1282,1283,1290,
1294,1303,1322,1328,1330,1334,1336,1339,1348,1384,1385,1386,1391,1394,1407,
1409,1410,1419,1420,1423,1444,1448,1449,1460,1483,1494,1497,1503,1505,1535,
1548,1557,1560,1567,1568,1571,1597,1608,1610,1623],[1,2,3,4,5,6,7,8,9,10,13,
14,15,16,17,18,19,22,23,24,27,29,30,31,32,33,34,35,36,38,39,40,43,44,48,49,50,
52,53,54,57,59,60,61,62,64,65,67,68,70,72,73,74,75,76,78,79,82,84,87,88,89,90,
91,92,94,96,98,99,106,107,114,115,116,118,119,122,124,125,127,128,129,130,131,
133,136,138,141,142,143,144,145,147,149,151,152,153,155,156,157,158,159,160,
161,166,167,168,170,173,175,177,179,180,181,182,184,189,190,192,194,195,198,
200,201,202,204,206,208,212,215,217,218,220,221,222,225,227,232,237,238,239,
250,252,253,254,257,258,259,261,265,266,268,272,273,274,275,276,277,282,285,
287,290,291,293,296,298,301,302,305,306,309,310,311,312,314,315,316,320,321,
322,324,328,334,336,337,338,339,340,342,345,356,359,360,362,363,365,367,369,
372,375,377,378,379,380,381,383,390,392,393,395,397,398,400,402,403,405,411,
413,417,418,419,420,422,425,426,427,431,436,438,440,455,458,459,460,461,464,
465,472,481,483,485,486,496,504,508,511,519,521,525,527,532,534,536,541,542,
544,549,552,553,555,557,558,559,563,565,566,572,573,579,582,583,584,596,597,
599,602,604,607,610,611,613,614,615,616,617,627,629,630,634,637,638,642,650,
657,661,663,667,669,673,675,678,679,680,684,695,700,708,709,711,713,720,722,
729,731,732,737,739,740,744,751,752,753,758,767,768,769,772,776,784,785,802,
812,813,816,825,832,840,844,848,856,858,859,861,863,865,873,874,875,880,890,
893,897,898,899,900,903,904,906,912,913,916,918,919,923,925,926,927,929,945,
947,949,950,954,957,963,966,967,970,972,974,981,982,984,986,990,991,992,994,
995,998,1013,1016,1025,1029,1031,1036,1043,1055,1067,1071,1073,1079,1083,1092,
1093,1098,1104,1112,1119,1125,1127,1128,1132,1140,1142,1155,1158,1160,1162,
1169,1176,1177,1186,1189,1193,1195,1205,1210,1214,1226,1230,1235,1238,1239,
1242,1246,1248,1249,1251,1254,1260,1262,1264,1270,1281,1283,1284,1286,1294,
1318,1322,1329,1342,1346,1359,1367,1376,1377,1383,1385,1391,1403,1407,1411,
1417,1420,1421,1425,1432,1433,1435,1448,1458,1467,1473,1491,1497,1503,1504,
1505,1512,1513,1518,1547,1557,1559,1565,1569,1571,1573,1576,1597,1598,1599,
1624],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,
31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,57,59,60,61,62,
64,65,67,68,70,72,73,74,75,76,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,95,
96,98,99,104,105,106,107,108,113,116,118,120,121,122,123,124,125,126,127,128,
129,130,132,133,134,136,137,138,139,140,141,142,143,144,145,146,147,149,151,
152,153,154,155,156,157,158,159,160,161,162,165,166,167,168,169,170,171,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,210,212,213,215,216,217,218,219,
220,221,222,223,225,227,233,234,237,239,245,249,250,252,253,254,255,257,258,
259,261,262,265,266,267,268,271,272,273,274,275,276,277,278,280,283,284,285,
286,288,289,290,293,294,296,297,298,299,300,301,302,303,304,305,306,307,309,
310,312,313,315,316,317,320,321,322,323,324,325,326,327,328,329,333,334,337,
338,339,340,342,343,344,345,346,347,348,350,351,352,354,355,356,357,358,359,
360,361,362,363,368,369,371,372,373,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,396,397,398,400,402,403,404,405,
410,414,416,417,419,421,422,423,425,426,427,428,429,430,431,432,433,435,436,
437,438,439,440,448,455,456,458,459,460,461,463,465,466,467,468,469,470,471,
472,473,474,475,476,479,480,481,482,483,485,487,488,490,491,492,493,494,496,
497,498,501,502,504,507,508,509,510,511,512,514,516,517,519,521,522,523,524,
526,527,528,529,530,531,532,533,534,535,538,540,541,543,545,547,548,549,552,
553,554,556,558,559,563,565,566,570,572,573,578,579,582,583,584,592,596,597,
600,602,604,607,613,614,615,616,617,620,621,622,629,630,631,634,636,637,638,
642,648,650,652,656,657,658,661,662,663,664,665,666,667,669,670,672,673,674,
676,677,678,679,680,682,683,684,685,686,687,688,690,691,692,693,695,696,697,
698,699,700,701,703,704,705,706,707,708,709,710,712,714,715,717,718,719,722,
723,726,727,729,733,734,735,737,739,740,745,747,748,752,753,756,758,759,760,
761,762,768,769,770,772,773,775,776,778,779,780,782,785,786,790,794,795,799,
800,802,804,805,806,807,808,809,813,814,819,820,821,826,827,828,829,834,835,
843,844,847,848,849,855,857,859,866,870,872,874,877,879,886,890,893,894,895,
897,898,901,904,912,913,916,918,919,920,922,925,926,928,929,933,935,938,941,
942,943,945,947,950,954,955,959,963,964,966,967,970,972,976,979,983,984,986,
989,990,991,994,995,998,1000,1002,1004,1012,1013,1016,1024,1025,1026,1029,
1035,1036,1044,1045,1047,1050,1052,1053,1054,1059,1067,1069,1079,1080,1082,
1083,1084,1088,1089,1090,1099,1104,1106,1110,1113,1116,1120,1131,1134,1135,
1136,1139,1140,1141,1142,1149,1152,1153,1155,1156,1158,1161,1163,1167,1169,
1173,1176,1177,1180,1181,1189,1192,1193,1196,1199,1205,1210,1211,1214,1217,
1220,1222,1230,1233,1238,1240,1242,1246,1247,1248,1249,1250,1251,1253,1254,
1262,1264,1273,1274,1281,1282,1283,1284,1286,1290,1294,1303,1326,1327,1333,
1337,1338,1339,1346,1361,1364,1366,1368,1382,1384,1385,1386,1391,1400,1407,
1408,1409,1410,1411,1419,1420,1421,1423,1425,1435,1444,1448,1449,1455,1456,
1458,1459,1460,1467,1487,1494,1497,1503,1504,1505,1512,1518,1521,1525,1526,
1530,1535,1538,1548,1557,1560,1562,1563,1565,1567,1569,1572,1573,1576,1589,
1594,1598,1600,1605,1608,1625],[1,2,3,4,6,7,8,9,10,13,14,15,16,17,18,19,20,21,
22,24,25,26,27,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,53,54,55,
57,59,61,62,64,65,68,69,70,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,89,90,
91,92,96,97,99,100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,
116,119,122,123,124,125,126,128,129,130,131,132,133,134,135,137,138,139,140,
141,142,143,145,147,150,154,155,156,157,158,161,162,165,167,168,169,170,171,
173,175,176,177,178,179,180,182,185,186,187,190,191,194,196,197,200,201,203,
207,209,211,212,214,215,216,218,219,223,224,227,231,233,234,235,236,237,238,
239,242,245,250,252,253,254,257,258,259,260,261,262,266,267,272,273,277,278,
280,281,282,284,285,286,287,289,291,292,293,294,295,296,297,298,299,300,301,
302,303,305,306,307,308,314,316,317,319,321,323,325,326,327,329,330,331,332,
334,335,336,337,340,341,344,345,352,353,354,355,356,358,363,365,367,369,371,
372,375,376,379,381,384,390,391,393,395,397,398,399,400,401,403,405,406,407,
408,409,410,411,413,415,417,418,420,421,422,423,427,429,431,435,436,437,441,
442,443,445,446,447,452,453,454,457,460,461,463,464,465,468,469,470,474,477,
478,481,487,490,491,494,497,498,503,505,506,510,512,513,514,515,516,518,523,
526,530,531,533,535,536,537,542,543,551,557,558,563,565,566,568,570,572,573,
575,579,582,583,584,596,597,599,602,604,607,609,610,613,614,615,616,618,622,
623,626,627,628,629,631,634,635,638,640,643,646,648,650,651,659,660,663,664,
668,669,670,671,674,675,678,682,689,695,700,702,704,705,707,708,712,713,717,
718,720,722,724,725,727,728,730,731,735,746,748,749,750,751,752,753,754,757,
758,759,763,764,773,774,775,776,781,797,798,801,803,810,811,812,814,815,816,
817,819,820,831,832,833,836,838,839,840,841,842,843,845,852,854,855,857,858,
859,864,865,872,875,877,879,881,882,884,885,887,890,892,893,894,897,899,903,
905,910,912,914,915,916,920,925,927,929,933,935,936,937,939,942,943,946,947,
950,954,955,957,958,966,967,968,972,973,977,979,980,984,987,990,991,992,993,
995,996,998,1003,1004,1010,1013,1014,1016,1024,1026,1029,1039,1043,1050,1056,
1059,1062,1063,1072,1075,1076,1077,1080,1092,1096,1097,1100,1103,1108,1109,
1110,1112,1118,1123,1125,1126,1128,1129,1130,1134,1135,1138,1144,1145,1149,
1155,1156,1158,1161,1163,1170,1171,1179,1182,1187,1189,1190,1193,1195,1197,
1204,1205,1208,1211,1219,1221,1222,1223,1224,1226,1227,1228,1230,1235,1238,
1241,1242,1246,1248,1249,1251,1253,1254,1264,1270,1271,1274,1276,1278,1281,
1282,1283,1294,1306,1322,1325,1326,1331,1332,1335,1341,1345,1358,1363,1371,
1374,1375,1379,1385,1388,1391,1392,1400,1403,1407,1411,1412,1413,1420,1429,
1431,1446,1450,1455,1456,1457,1459,1460,1469,1484,1495,1497,1503,1505,1512,
1514,1519,1526,1557,1558,1561,1562,1563,1569,1571,1572,1575,1596,1597,1602,
1605,1606,1626],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,22,23,24,25,26,
27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,47,48,50,51,52,53,54,55,57,59,
60,61,62,64,65,67,68,69,70,72,73,74,75,76,78,79,81,82,83,84,87,88,89,90,91,92,
94,96,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,115,116,
117,118,122,123,124,125,126,128,129,130,131,133,134,135,136,138,139,141,142,
143,144,145,147,148,150,151,152,153,155,156,157,158,159,160,161,163,164,165,
166,167,168,169,170,172,174,177,179,180,181,182,184,189,190,191,192,193,195,
198,200,201,202,204,206,208,209,211,212,215,217,218,220,221,222,225,227,231,
233,234,235,236,237,238,239,242,250,252,253,254,257,258,259,260,261,265,266,
268,272,273,274,275,276,277,281,282,284,285,286,287,289,290,291,292,293,294,
295,296,297,298,301,302,305,306,307,308,309,312,314,316,319,320,321,322,324,
326,328,330,331,332,334,335,336,337,338,339,340,341,342,344,345,349,353,354,
356,358,359,360,362,363,364,366,369,370,372,375,376,377,378,379,380,381,383,
384,390,392,393,395,397,398,399,400,401,402,403,405,406,407,412,417,418,419,
420,422,423,424,425,426,427,431,436,437,438,442,443,444,449,450,451,452,455,
458,459,460,461,462,463,464,465,472,477,478,481,483,485,489,495,496,499,500,
503,504,505,506,508,513,515,518,519,521,526,527,532,534,537,539,541,549,550,
552,553,557,558,559,563,565,566,568,570,572,573,575,579,582,583,584,596,597,
599,602,604,607,609,610,613,614,615,616,617,618,622,623,626,627,628,629,630,
634,635,637,638,640,643,646,648,650,651,657,661,663,664,667,668,669,673,675,
678,679,681,689,695,700,702,704,707,708,709,716,717,722,724,725,728,729,731,
735,737,739,740,743,746,748,751,752,753,755,757,758,763,764,766,768,769,772,
774,776,781,783,787,788,791,792,793,796,810,811,812,813,815,816,817,824,831,
832,833,836,838,839,840,842,843,844,845,848,850,852,854,858,859,867,872,874,
876,878,881,885,887,888,890,892,893,897,898,902,904,907,908,909,910,912,913,
914,915,916,917,918,919,925,926,929,936,937,939,942,943,945,946,947,950,954,
957,958,963,966,967,968,970,972,973,977,980,984,987,990,991,992,993,994,995,
996,998,1003,1010,1013,1014,1016,1024,1025,1029,1036,1042,1050,1056,1058,1061,
1062,1064,1072,1074,1078,1079,1083,1085,1087,1091,1096,1097,1100,1101,1104,
1108,1109,1111,1123,1125,1126,1138,1140,1142,1145,1148,1155,1157,1158,1159,
1164,1169,1174,1175,1176,1177,1178,1183,1187,1189,1193,1194,1204,1205,1208,
1209,1210,1214,1219,1221,1223,1224,1226,1227,1228,1230,1235,1238,1241,1242,
1246,1248,1249,1251,1253,1254,1264,1270,1271,1274,1276,1278,1281,1282,1283,
1284,1286,1294,1306,1320,1323,1324,1325,1336,1343,1346,1354,1355,1360,1370,
1375,1378,1379,1385,1388,1391,1392,1403,1407,1411,1412,1413,1420,1421,1425,
1429,1431,1435,1446,1450,1457,1458,1460,1467,1469,1492,1495,1497,1503,1504,
1505,1512,1514,1518,1519,1557,1558,1561,1565,1568,1569,1573,1575,1576,1596,
1598,1610,1611,1612,1627],[1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,22,25,26,
27,28,29,30,33,34,35,36,37,38,39,41,44,47,53,54,55,57,59,64,65,68,69,70,72,73,
74,75,76,78,79,81,87,89,90,91,92,93,95,96,99,100,101,102,103,104,105,107,108,
109,110,111,112,114,115,116,120,122,123,124,125,126,127,128,129,130,131,133,
134,135,139,142,143,145,146,147,149,150,156,157,161,165,167,168,169,177,179,
182,183,191,200,201,209,211,212,213,215,227,231,232,233,234,235,236,237,238,
239,242,249,250,252,253,254,255,257,258,259,260,261,266,271,272,277,281,282,
283,284,285,286,287,288,289,291,292,294,295,296,297,298,301,302,305,306,307,
308,310,314,315,319,321,326,330,331,332,334,335,336,340,341,344,345,346,347,
348,353,354,356,358,361,369,372,373,375,376,381,384,385,386,388,390,393,395,
397,398,399,400,401,403,404,405,406,407,416,417,418,420,422,423,427,431,436,
437,440,442,443,452,460,461,463,464,477,478,480,481,486,501,502,503,505,506,
511,513,515,518,525,526,537,546,555,557,558,563,565,568,570,572,573,575,579,
582,583,584,589,592,596,597,599,601,602,604,609,610,611,613,614,615,618,620,
622,623,626,627,628,629,634,635,638,640,642,643,646,648,650,651,652,663,664,
665,668,669,672,675,676,678,680,684,687,689,690,694,695,696,700,702,704,707,
711,715,717,719,721,722,724,725,728,731,735,736,741,742,744,746,748,751,752,
753,756,757,758,763,764,765,774,776,777,781,785,795,799,802,810,811,812,815,
816,817,822,826,827,828,831,832,833,836,838,839,840,842,843,845,852,854,856,
858,861,863,872,881,885,887,890,892,910,912,914,915,916,922,923,928,929,936,
937,938,939,942,943,946,947,949,950,954,957,958,959,964,966,967,968,972,973,
974,976,977,980,981,982,983,984,986,987,989,990,991,992,993,995,996,998,999,
1000,1002,1003,1007,1008,1010,1012,1013,1014,1015,1016,1022,1024,1031,1037,
1041,1047,1050,1051,1053,1056,1057,1060,1062,1065,1067,1071,1072,1073,1081,
1082,1084,1086,1089,1093,1094,1095,1096,1097,1098,1100,1108,1109,1113,1117,
1119,1123,1125,1126,1127,1137,1138,1139,1145,1152,1155,1166,1184,1186,1187,
1189,1192,1193,1204,1205,1207,1208,1219,1221,1223,1224,1226,1227,1228,1235,
1238,1239,1241,1242,1246,1247,1248,1249,1250,1251,1253,1254,1256,1257,1260,
1262,1264,1270,1271,1273,1274,1276,1278,1282,1283,1289,1290,1294,1295,1298,
1303,1304,1306,1307,1309,1316,1317,1318,1319,1321,1325,1339,1352,1362,1375,
1376,1379,1380,1383,1384,1385,1386,1388,1391,1392,1399,1403,1404,1406,1407,
1409,1410,1412,1413,1415,1417,1419,1420,1422,1423,1428,1429,1431,1432,1433,
1444,1446,1448,1449,1450,1457,1460,1469,1473,1479,1494,1495,1497,1498,1502,
1503,1505,1506,1510,1513,1514,1519,1527,1533,1535,1540,1544,1545,1547,1548,
1549,1557,1558,1559,1560,1561,1564,1567,1575,1581,1595,1596,1599,1604,1608,
1628],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,
30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,57,58,59,60,
61,62,63,64,67,69,70,72,73,74,75,76,78,79,80,82,84,85,86,87,88,89,90,91,92,93,
94,95,96,98,99,104,105,106,107,108,113,116,118,120,121,122,123,124,125,126,
127,128,129,130,132,133,134,136,137,138,139,140,141,142,143,144,145,146,147,
149,151,152,153,154,155,156,157,158,159,160,161,162,165,166,167,168,169,170,
171,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,210,212,213,215,216,217,
218,219,220,221,222,223,225,230,232,238,242,243,244,245,248,249,251,252,255,
257,258,260,261,262,264,265,266,267,268,271,272,273,274,275,276,277,278,279,
280,283,284,285,286,288,289,290,293,294,296,297,298,299,300,301,302,303,304,
305,306,307,309,310,312,313,315,316,317,320,321,322,323,324,325,326,327,328,
329,333,334,337,338,339,340,342,343,344,345,346,347,348,350,351,352,354,355,
356,357,358,359,360,361,362,363,368,369,371,372,373,375,376,377,378,379,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,400,
402,403,404,405,410,414,416,417,419,421,422,423,425,426,427,428,429,430,431,
432,433,435,436,437,438,439,440,448,455,456,458,459,460,461,463,465,466,467,
468,469,470,471,472,473,474,475,476,479,480,481,482,483,485,487,488,490,491,
492,493,494,496,497,498,501,502,504,507,508,509,510,511,512,514,516,517,519,
521,522,523,524,526,527,528,529,530,531,532,533,534,535,538,540,541,543,545,
547,548,549,552,553,554,556,562,564,567,569,571,572,575,576,578,580,582,584,
586,587,588,589,595,597,598,600,602,604,605,606,607,608,609,611,612,614,616,
617,620,621,623,624,627,630,631,636,637,638,650,651,652,656,657,658,661,662,
663,664,665,666,667,669,670,672,673,674,676,677,678,679,680,682,683,684,685,
686,687,688,690,691,692,693,695,696,697,698,699,700,701,703,704,705,706,707,
708,709,710,712,714,715,717,718,719,722,723,726,727,729,733,734,735,737,739,
740,745,747,748,752,753,756,758,759,760,761,762,768,769,770,772,773,775,776,
778,779,780,782,785,786,790,794,795,799,800,802,804,805,806,807,808,809,813,
814,819,820,821,826,827,828,829,834,835,843,844,847,848,849,855,857,859,866,
870,872,874,877,879,886,890,893,894,895,897,898,901,904,912,913,930,931,932,
934,938,940,941,945,946,947,949,951,952,954,955,959,962,963,964,970,971,973,
974,976,978,979,989,990,992,994,995,1001,1002,1004,1005,1006,1008,1013,1014,
1015,1016,1019,1023,1025,1026,1027,1029,1035,1036,1044,1045,1047,1050,1052,
1053,1054,1059,1067,1069,1079,1080,1082,1083,1084,1088,1089,1090,1099,1104,
1106,1110,1113,1116,1120,1131,1134,1135,1136,1139,1140,1141,1142,1149,1152,
1153,1155,1156,1158,1161,1163,1167,1169,1173,1176,1177,1180,1181,1185,1188,
1191,1198,1202,1203,1206,1213,1214,1216,1217,1218,1220,1222,1223,1225,1229,
1230,1232,1233,1234,1235,1236,1239,1240,1242,1244,1248,1249,1250,1251,1256,
1261,1263,1265,1273,1275,1277,1278,1281,1284,1285,1286,1287,1297,1303,1306,
1309,1326,1327,1333,1337,1338,1339,1346,1361,1364,1366,1368,1387,1389,1390,
1395,1396,1400,1404,1407,1408,1410,1411,1415,1418,1419,1421,1425,1430,1434,
1435,1436,1438,1444,1445,1450,1451,1455,1456,1458,1459,1467,1472,1473,1487,
1496,1499,1500,1507,1508,1511,1515,1518,1520,1521,1525,1526,1530,1532,1534,
1536,1538,1540,1542,1548,1570,1574,1577,1585,1589,1601,1607,1613,1629],[1,2,4,
6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,27,28,29,30,33,34,35,36,38,39,41,44,
47,53,54,57,59,64,65,68,69,70,72,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,
104,105,107,108,116,120,122,123,124,125,126,127,128,129,130,133,134,139,142,
143,145,146,147,149,156,157,161,165,167,168,169,177,179,182,183,191,200,201,
212,213,215,227,228,230,232,233,234,237,238,239,242,244,249,250,251,252,253,
254,255,257,258,259,260,261,264,266,271,272,277,283,284,285,286,288,289,294,
296,297,298,301,302,305,306,307,310,315,321,326,334,340,344,345,346,347,348,
354,356,358,361,369,372,373,375,376,381,384,385,386,388,390,393,395,397,398,
400,403,404,405,416,417,422,423,427,431,436,437,440,460,461,463,480,481,501,
502,511,526,558,562,563,565,568,570,572,573,575,579,582,583,584,589,592,596,
597,602,604,609,611,613,614,615,620,622,623,627,629,634,638,642,648,650,651,
652,654,663,664,665,669,672,676,678,680,684,687,690,695,696,700,704,707,715,
717,719,722,735,748,752,753,756,758,776,785,795,799,802,826,827,828,843,872,
890,912,915,916,921,922,923,928,929,931,932,934,938,940,942,943,946,947,949,
950,951,954,959,964,966,967,971,972,973,974,976,983,984,986,989,990,991,992,
995,998,1000,1002,1008,1012,1013,1014,1015,1016,1024,1033,1047,1050,1053,1067,
1082,1084,1089,1113,1139,1152,1155,1185,1189,1191,1192,1193,1198,1204,1205,
1207,1208,1223,1235,1238,1239,1242,1246,1247,1248,1249,1250,1251,1253,1254,
1256,1262,1264,1273,1274,1278,1282,1283,1290,1294,1303,1306,1309,1314,1339,
1375,1376,1381,1383,1384,1385,1386,1387,1388,1389,1390,1391,1404,1407,1409,
1410,1415,1419,1420,1423,1436,1444,1448,1449,1450,1460,1473,1475,1476,1494,
1495,1497,1498,1499,1503,1505,1506,1508,1511,1535,1540,1548,1553,1557,1558,
1559,1560,1566,1567,1570,1591,1593,1595,1601,1608,1618,1630],[1,2,3,4,5,8,10,
11,12,15,16,17,18,22,23,28,33,34,36,40,42,43,44,45,48,50,52,56,57,58,60,62,66,
71,73,74,76,79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,130,136,146,
153,154,158,166,170,180,181,195,196,197,198,199,200,205,207,216,219,220,221,
226,228,240,244,245,246,247,251,256,264,266,270,271,272,276,283,288,316,320,
322,323,324,325,328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,
395,396,403,404,419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,
533,553,560,561,572,574,578,581,585,590,591,593,602,603,608,612,616,619,624,
632,637,653,657,661,673,688,690,693,696,701,705,708,712,739,747,758,772,775,
780,808,814,829,834,847,886,895,921,924,940,948,951,953,955,956,960,961,964,
965,970,971,988,995,997,1002,1011,1032,1047,1079,1080,1088,1116,1136,1167,
1200,1201,1215,1220,1231,1248,1252,1263,1277,1281,1284,1285,1291,1366,1381,
1393,1419,1427,1436,1442,1458,1459,1468,1509,1516,1520,1530,1541,1555,1566,
1603,1609,1620,1631],[1,2,3,4,5,8,9,10,11,15,16,17,18,22,23,28,33,34,36,40,42,
43,44,45,48,50,52,57,58,59,60,61,62,63,64,67,73,74,76,79,80,82,86,88,90,92,93,
94,95,96,98,118,120,121,129,130,136,146,153,154,158,166,170,180,181,195,196,
197,198,199,200,205,207,216,219,220,221,227,228,230,243,244,245,248,251,252,
255,257,261,264,266,271,272,274,276,277,278,283,288,316,320,322,323,324,325,
328,329,337,338,339,351,352,356,357,361,371,377,387,389,393,395,396,403,404,
419,428,466,467,470,475,476,479,480,481,496,497,517,527,531,533,553,558,559,
561,564,566,567,569,571,572,576,578,582,587,600,602,604,605,607,608,612,614,
616,617,620,624,637,654,657,661,673,688,690,693,696,701,705,708,712,739,747,
758,772,775,780,808,814,829,834,847,886,895,918,921,922,929,931,932,933,934,
940,947,951,952,955,959,962,964,970,971,976,978,979,994,995,1002,1005,1013,
1016,1034,1047,1079,1080,1088,1116,1136,1167,1188,1193,1199,1200,1202,1203,
1206,1214,1218,1220,1225,1229,1230,1232,1240,1248,1251,1263,1275,1277,1281,
1284,1285,1303,1314,1366,1381,1384,1385,1387,1389,1390,1400,1419,1425,1436,
1438,1444,1451,1458,1459,1478,1496,1500,1504,1505,1507,1512,1515,1516,1520,
1530,1536,1538,1553,1562,1566,1567,1570,1576,1592,1594,1603,1607,1613,1618,
1632],[1,2,4,5,6,7,9,10,11,13,14,15,22,23,25,27,29,31,34,35,37,38,39,41,44,47,
48,51,53,55,57,58,59,60,63,64,65,67,68,69,70,72,75,78,81,83,88,90,91,100,102,
106,107,108,109,110,112,114,115,117,122,123,125,126,128,129,135,139,142,143,
148,151,156,160,166,172,181,184,192,198,201,208,215,227,228,230,231,232,233,
234,235,236,237,238,239,241,242,243,244,248,249,250,252,253,254,255,257,258,
259,260,261,264,266,271,272,275,277,279,281,284,287,291,301,305,308,309,319,
331,336,338,340,353,360,375,376,377,381,384,395,401,420,423,424,436,442,449,
450,452,458,462,478,499,504,518,539,558,559,561,562,563,564,565,567,568,569,
570,573,575,576,579,580,583,584,586,587,588,589,592,595,596,597,598,599,601,
602,604,605,606,608,609,610,611,613,614,615,617,618,620,622,623,625,626,627,
628,629,634,635,637,638,640,642,643,645,646,647,648,649,651,652,654,678,681,
689,716,717,725,728,739,768,787,788,791,792,831,832,838,845,874,904,915,916,
917,921,922,923,926,928,929,930,931,932,934,936,937,938,939,942,943,944,946,
947,949,950,952,954,957,958,962,963,968,971,975,976,977,981,982,983,984,985,
986,987,991,992,993,995,996,998,999,1000,1001,1002,1003,1006,1007,1008,1009,
1010,1012,1014,1015,1018,1019,1022,1023,1028,1031,1033,1034,1074,1085,1091,
1101,1111,1145,1176,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1198,
1202,1204,1205,1207,1208,1213,1214,1216,1219,1224,1226,1229,1236,1241,1243,
1246,1249,1255,1256,1257,1260,1267,1272,1273,1276,1277,1278,1280,1282,1284,
1288,1289,1290,1295,1298,1307,1312,1313,1314,1315,1343,1375,1376,1379,1380,
1381,1383,1384,1385,1386,1388,1389,1390,1391,1392,1395,1405,1428,1434,1435,
1447,1461,1463,1464,1469,1475,1476,1477,1494,1495,1497,1498,1499,1500,1502,
1504,1506,1507,1508,1510,1513,1514,1516,1543,1551,1553,1564,1568,1573,1574,
1575,1591,1592,1593,1612,1616,1617,1621,1633],[1,2,3,4,5,6,7,8,9,10,13,14,15,
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,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,59,60,61,62,64,65,67,68,69,70,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,227,231,232,233,234,235,
236,237,238,239,242,245,249,250,252,253,254,255,257,258,259,260,261,262,265,
266,267,268,271,272,273,274,275,276,277,278,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,
402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,
421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,
440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,
459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,
497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,
535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,563,565,566,568,570,572,573,575,578,579,582,583,584,
589,592,596,597,599,600,601,602,604,607,609,610,611,613,614,615,616,617,618,
620,621,622,623,626,627,628,629,630,631,634,635,636,637,638,640,642,643,646,
648,650,651,652,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,
671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,
728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,
747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,
766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,
785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,
823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,
842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,
861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,
880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,
899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,
918,919,920,922,923,925,926,927,928,929,933,935,936,937,938,939,941,942,943,
945,946,947,949,950,954,955,957,958,959,963,964,966,967,968,970,972,973,974,
976,977,979,980,981,982,983,984,986,987,989,990,991,992,993,994,995,996,998,
999,1000,1002,1003,1004,1007,1008,1010,1012,1013,1014,1015,1016,1022,1024,
1025,1026,1029,1031,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,
1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1182,1183,1184,1186,1187,1189,1190,1192,1193,1194,1195,1196,1197,1199,
1204,1205,1207,1208,1209,1210,1211,1214,1217,1219,1220,1221,1222,1223,1224,
1226,1227,1228,1230,1233,1235,1238,1239,1240,1241,1242,1246,1247,1248,1249,
1250,1251,1253,1254,1256,1257,1260,1262,1264,1270,1271,1273,1274,1276,1278,
1281,1282,1283,1284,1286,1289,1290,1294,1295,1298,1303,1304,1306,1307,1309,
1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,
1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,
1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1382,1383,1384,1385,1386,1388,1391,1392,1394,1399,
1400,1403,1404,1406,1407,1408,1409,1410,1411,1412,1413,1415,1417,1419,1420,
1421,1422,1423,1425,1428,1429,1431,1432,1433,1435,1444,1446,1448,1449,1450,
1455,1456,1457,1458,1459,1460,1467,1469,1473,1479,1480,1481,1482,1483,1484,
1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1497,1498,1501,1502,
1503,1504,1505,1506,1510,1512,1513,1514,1518,1519,1521,1525,1526,1527,1530,
1533,1535,1538,1540,1544,1545,1547,1548,1549,1554,1557,1558,1559,1560,1561,
1562,1563,1564,1565,1567,1568,1569,1571,1572,1573,1575,1576,1581,1589,1594,
1595,1596,1597,1598,1599,1600,1602,1604,1605,1606,1608,1610,1611,1612,1622,
1623,1624,1625,1626,1627,1628,1634],[1,2,4,8,9,10,11,12,15,16,17,18,22,28,33,
34,36,44,57,59,64,66,73,74,76,79,90,92,93,95,96,120,129,130,146,200,226,227,
228,229,230,240,244,246,251,252,255,256,257,261,264,266,271,272,277,283,288,
356,361,393,395,403,404,480,481,558,572,582,590,602,603,604,614,619,620,632,
653,654,655,690,696,758,921,922,924,929,931,932,934,940,947,948,951,953,959,
964,971,976,995,1002,1011,1013,1016,1047,1193,1212,1215,1248,1251,1303,1314,
1381,1384,1385,1387,1389,1390,1393,1419,1436,1444,1468,1505,1553,1555,1556,
1566,1567,1570,1618,1619,1620,1635],[1,2,4,6,7,8,9,10,11,13,14,15,16,17,18,19,
20,22,27,28,29,30,33,34,35,36,38,39,41,44,47,49,51,53,54,57,59,64,65,68,69,70,
72,73,74,75,76,78,79,87,89,90,91,92,93,95,96,99,104,105,107,108,116,117,119,
120,122,123,124,125,126,127,128,129,130,133,134,139,142,143,145,146,147,149,
156,157,161,165,167,168,169,172,173,174,175,177,179,182,183,191,193,194,200,
201,212,213,215,227,228,230,232,233,234,237,238,239,241,242,244,249,250,251,
252,253,254,255,257,258,259,260,261,264,266,271,272,277,283,284,285,286,288,
289,294,296,297,298,301,302,305,306,307,310,315,321,326,334,340,344,345,346,
347,348,354,356,358,361,364,365,366,367,369,370,372,373,374,375,376,381,384,
385,386,388,390,393,395,397,398,400,403,404,405,411,412,413,416,417,422,423,
424,427,431,434,436,437,440,460,461,462,463,480,481,484,501,502,511,526,536,
542,558,562,563,565,568,570,572,573,575,579,582,583,584,589,592,596,597,602,
604,609,611,613,614,615,620,622,623,627,629,634,638,642,647,648,649,650,651,
652,654,663,664,665,669,672,676,678,680,681,684,687,690,695,696,700,704,707,
713,715,716,717,719,720,722,735,748,752,753,756,758,776,785,795,799,802,824,
826,827,828,830,843,846,853,862,865,869,871,872,875,888,890,891,899,903,907,
908,911,912,915,916,917,921,922,923,927,928,929,931,932,934,938,940,942,943,
946,947,949,950,951,954,959,964,966,967,969,971,972,973,974,976,983,984,986,
989,990,991,992,995,998,1000,1002,1008,1009,1012,1013,1014,1015,1016,1024,
1028,1033,1043,1047,1050,1053,1061,1067,1070,1082,1084,1089,1091,1092,1112,
1113,1114,1121,1122,1124,1128,1139,1152,1154,1155,1157,1159,1185,1189,1191,
1192,1193,1195,1198,1204,1205,1207,1208,1209,1223,1235,1238,1239,1242,1246,
1247,1248,1249,1250,1251,1253,1254,1256,1262,1264,1266,1268,1273,1274,1278,
1280,1282,1283,1288,1290,1294,1303,1306,1309,1312,1314,1322,1328,1330,1334,
1336,1339,1348,1375,1376,1381,1383,1384,1385,1386,1387,1388,1389,1390,1391,
1394,1404,1405,1407,1409,1410,1415,1419,1420,1423,1426,1436,1444,1448,1449,
1450,1452,1460,1473,1475,1476,1483,1494,1495,1497,1498,1499,1503,1505,1506,
1508,1511,1531,1535,1540,1546,1548,1550,1553,1557,1558,1559,1560,1566,1567,
1568,1570,1571,1579,1591,1593,1595,1597,1601,1608,1610,1616,1618,1623,1630,
1636],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,
30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,57,58,59,60,
61,62,63,64,65,67,68,69,70,72,73,74,75,76,78,79,80,82,84,85,86,87,88,89,90,91,
92,93,94,95,96,98,99,104,105,106,107,108,113,116,118,120,121,122,123,124,125,
126,127,128,129,130,132,133,134,136,137,138,139,140,141,142,143,144,145,146,
147,149,151,152,153,154,155,156,157,158,159,160,161,162,165,166,167,168,169,
170,171,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,210,212,213,215,216,
217,218,219,220,221,222,223,225,227,228,230,232,233,234,237,238,239,242,243,
244,245,248,249,250,251,252,253,254,255,257,258,259,260,261,262,264,265,266,
267,268,271,272,273,274,275,276,277,278,279,280,283,284,285,286,288,289,290,
293,294,296,297,298,299,300,301,302,303,304,305,306,307,309,310,312,313,315,
316,317,320,321,322,323,324,325,326,327,328,329,333,334,337,338,339,340,342,
343,344,345,346,347,348,350,351,352,354,355,356,357,358,359,360,361,362,363,
368,369,371,372,373,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,396,397,398,400,402,403,404,405,410,414,416,417,
419,421,422,423,425,426,427,428,429,430,431,432,433,435,436,437,438,439,440,
448,455,456,458,459,460,461,463,465,466,467,468,469,470,471,472,473,474,475,
476,479,480,481,482,483,485,487,488,490,491,492,493,494,496,497,498,501,502,
504,507,508,509,510,511,512,514,516,517,519,521,522,523,524,526,527,528,529,
530,531,532,533,534,535,538,540,541,543,545,547,548,549,552,553,554,556,558,
559,561,562,563,564,565,566,567,568,569,570,571,572,573,575,576,578,579,580,
582,583,584,586,587,588,589,592,595,596,597,598,600,602,604,605,606,607,608,
609,611,612,613,614,615,616,617,620,621,622,623,624,627,629,630,631,634,636,
637,638,642,648,650,651,652,654,656,657,658,661,662,663,664,665,666,667,669,
670,672,673,674,676,677,678,679,680,682,683,684,685,686,687,688,690,691,692,
693,695,696,697,698,699,700,701,703,704,705,706,707,708,709,710,712,714,715,
717,718,719,722,723,726,727,729,733,734,735,737,739,740,745,747,748,752,753,
756,758,759,760,761,762,768,769,770,772,773,775,776,778,779,780,782,785,786,
790,794,795,799,800,802,804,805,806,807,808,809,813,814,819,820,821,826,827,
828,829,834,835,843,844,847,848,849,855,857,859,866,870,872,874,877,879,886,
890,893,894,895,897,898,901,904,912,913,915,916,918,919,920,921,922,923,925,
926,928,929,930,931,932,933,934,935,938,940,941,942,943,945,946,947,949,950,
951,952,954,955,959,962,963,964,966,967,970,971,972,973,974,976,978,979,983,
984,986,989,990,991,992,994,995,998,1000,1001,1002,1004,1005,1006,1008,1012,
1013,1014,1015,1016,1019,1023,1024,1025,1026,1027,1029,1033,1034,1035,1036,
1044,1045,1047,1050,1052,1053,1054,1059,1067,1069,1079,1080,1082,1083,1084,
1088,1089,1090,1099,1104,1106,1110,1113,1116,1120,1131,1134,1135,1136,1139,
1140,1141,1142,1149,1152,1153,1155,1156,1158,1161,1163,1167,1169,1173,1176,
1177,1180,1181,1185,1188,1189,1191,1192,1193,1196,1198,1199,1200,1202,1203,
1204,1205,1206,1207,1208,1210,1211,1213,1214,1216,1217,1218,1220,1222,1223,
1225,1229,1230,1232,1233,1234,1235,1236,1238,1239,1240,1242,1244,1246,1247,
1248,1249,1250,1251,1253,1254,1256,1261,1262,1263,1264,1265,1273,1274,1275,
1277,1278,1281,1282,1283,1284,1285,1286,1287,1290,1294,1297,1303,1306,1309,
1314,1315,1326,1327,1333,1337,1338,1339,1346,1361,1364,1366,1368,1375,1376,
1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1395,1396,1400,1404,
1407,1408,1409,1410,1411,1415,1418,1419,1420,1421,1423,1425,1430,1434,1435,
1436,1438,1444,1445,1448,1449,1450,1451,1455,1456,1458,1459,1460,1467,1472,
1473,1475,1476,1478,1487,1494,1495,1496,1497,1498,1499,1500,1503,1504,1505,
1506,1507,1508,1511,1512,1515,1516,1518,1520,1521,1525,1526,1530,1532,1534,
1535,1536,1538,1540,1542,1548,1552,1553,1557,1558,1559,1560,1562,1563,1565,
1566,1567,1569,1570,1572,1573,1574,1576,1577,1585,1589,1591,1592,1593,1594,
1595,1598,1600,1601,1603,1605,1607,1608,1613,1618,1621,1625,1629,1630,1632,
1637],[1,2,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,33,34,
35,36,37,38,39,41,44,47,53,54,55,57,59,64,65,68,69,70,72,73,74,75,76,78,79,81,
87,89,90,91,92,93,95,96,99,100,101,102,103,104,105,107,108,109,110,111,112,
114,115,116,120,122,123,124,125,126,127,128,129,130,131,133,134,135,139,142,
143,145,146,147,149,150,156,157,161,165,167,168,169,177,179,182,183,191,200,
201,209,211,212,213,215,227,228,230,231,232,233,234,235,236,237,238,239,242,
244,249,250,251,252,253,254,255,257,258,259,260,261,264,266,271,272,277,281,
282,283,284,285,286,287,288,289,291,292,294,295,296,297,298,301,302,305,306,
307,308,310,314,315,319,321,326,330,331,332,334,335,336,340,341,344,345,346,
347,348,353,354,356,358,361,369,372,373,375,376,381,384,385,386,388,390,393,
395,397,398,399,400,401,403,404,405,406,407,416,417,418,420,422,423,427,431,
436,437,440,442,443,452,460,461,463,464,477,478,480,481,486,501,502,503,505,
506,511,513,515,518,525,526,537,546,555,557,558,562,563,565,568,570,572,573,
575,579,582,583,584,589,592,596,597,599,601,602,604,609,610,611,613,614,615,
618,620,622,623,626,627,628,629,634,635,638,640,642,643,646,648,650,651,652,
654,663,664,665,668,669,672,675,676,678,680,684,687,689,690,694,695,696,700,
702,704,707,711,715,717,719,721,722,724,725,728,731,735,736,741,742,744,746,
748,751,752,753,756,757,758,763,764,765,774,776,777,781,785,795,799,802,810,
811,812,815,816,817,822,826,827,828,831,832,833,836,838,839,840,842,843,845,
852,854,856,858,861,863,872,881,885,887,890,892,910,912,914,915,916,921,922,
923,928,929,931,932,934,936,937,938,939,940,942,943,946,947,949,950,951,954,
957,958,959,964,966,967,968,971,972,973,974,976,977,980,981,982,983,984,986,
987,989,990,991,992,993,995,996,998,999,1000,1002,1003,1007,1008,1010,1012,
1013,1014,1015,1016,1022,1024,1031,1033,1037,1041,1047,1050,1051,1053,1056,
1057,1060,1062,1065,1067,1071,1072,1073,1081,1082,1084,1086,1089,1093,1094,
1095,1096,1097,1098,1100,1108,1109,1113,1117,1119,1123,1125,1126,1127,1137,
1138,1139,1145,1152,1155,1166,1184,1185,1186,1187,1189,1191,1192,1193,1198,
1204,1205,1207,1208,1219,1221,1223,1224,1226,1227,1228,1235,1238,1239,1241,
1242,1246,1247,1248,1249,1250,1251,1253,1254,1256,1257,1260,1262,1264,1270,
1271,1273,1274,1276,1278,1282,1283,1289,1290,1294,1295,1298,1303,1304,1306,
1307,1309,1313,1314,1316,1317,1318,1319,1321,1325,1339,1352,1362,1375,1376,
1379,1380,1381,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1399,1403,
1404,1406,1407,1409,1410,1412,1413,1415,1417,1419,1420,1422,1423,1428,1429,
1431,1432,1433,1436,1444,1446,1448,1449,1450,1457,1460,1469,1473,1475,1476,
1479,1494,1495,1497,1498,1499,1502,1503,1505,1506,1508,1510,1511,1513,1514,
1519,1527,1533,1535,1540,1544,1545,1547,1548,1549,1551,1553,1557,1558,1559,
1560,1561,1564,1566,1567,1570,1575,1581,1591,1593,1595,1596,1599,1601,1604,
1608,1617,1618,1628,1630,1638],[1,2,3,4,5,8,9,10,11,12,15,16,17,18,22,23,28,
33,34,36,40,42,43,44,45,48,50,52,56,57,58,59,60,61,62,63,64,66,67,71,73,74,76,
79,80,82,86,88,90,92,93,94,95,96,98,118,120,121,129,130,136,146,153,154,158,
166,170,180,181,195,196,197,198,199,200,205,207,216,219,220,221,226,227,228,
229,230,240,243,244,245,246,247,248,251,252,255,256,257,261,264,266,270,271,
272,274,276,277,278,283,288,316,320,322,323,324,325,328,329,337,338,339,351,
352,356,357,361,371,377,387,389,393,395,396,403,404,419,428,466,467,470,475,
476,479,480,481,496,497,517,527,531,533,553,558,559,560,561,564,566,567,569,
571,572,574,576,578,581,582,585,587,590,591,593,600,602,603,604,605,607,608,
612,614,616,617,619,620,624,632,637,653,654,655,657,661,673,688,690,693,696,
701,705,708,712,739,747,758,772,775,780,808,814,829,834,847,886,895,918,921,
922,924,929,931,932,933,934,940,947,948,951,952,953,955,956,959,960,961,962,
964,965,970,971,976,978,979,988,994,995,997,1002,1005,1011,1013,1016,1032,
1034,1047,1079,1080,1088,1116,1136,1167,1188,1193,1199,1200,1201,1202,1203,
1206,1212,1214,1215,1218,1220,1225,1229,1230,1231,1232,1240,1248,1251,1252,
1263,1275,1277,1281,1284,1285,1291,1303,1314,1366,1381,1384,1385,1387,1389,
1390,1393,1397,1400,1419,1425,1427,1436,1438,1442,1444,1451,1458,1459,1468,
1478,1496,1500,1504,1505,1507,1509,1512,1515,1516,1520,1530,1536,1538,1541,
1553,1555,1556,1562,1566,1567,1570,1576,1592,1594,1603,1607,1609,1613,1618,
1619,1620,1631,1632,1635,1639],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,227,228,230,231,232,233,234,
235,236,237,238,239,241,242,243,244,245,248,249,250,251,252,253,254,255,257,
258,259,260,261,262,264,265,266,267,268,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,
432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,
451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,
470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,
489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,548,549,550,551,552,553,554,555,556,557,558,559,561,562,563,564,565,
566,567,568,569,570,571,572,573,575,576,578,579,580,582,583,584,586,587,588,
589,592,595,596,597,598,599,600,601,602,604,605,606,607,608,609,610,611,612,
613,614,615,616,617,618,620,621,622,623,624,625,626,627,628,629,630,631,634,
635,636,637,638,640,642,643,645,646,647,648,649,650,651,652,654,656,657,658,
659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,
697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,
716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,
773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,
792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,
830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,
849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,
887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,
906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,925,
926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,
945,946,947,949,950,951,952,954,955,957,958,959,962,963,964,966,967,968,969,
970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,989,
990,991,992,993,994,995,996,998,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1012,1013,1014,1015,1016,1018,1019,1022,1023,1024,1025,1026,
1027,1028,1029,1031,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,
1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,
1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,
1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,
1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,
1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,
1194,1195,1196,1197,1198,1199,1200,1202,1203,1204,1205,1206,1207,1208,1209,
1210,1211,1213,1214,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,
1227,1228,1229,1230,1232,1233,1234,1235,1236,1238,1239,1240,1241,1242,1243,
1244,1246,1247,1248,1249,1250,1251,1253,1254,1255,1256,1257,1260,1261,1262,
1263,1264,1265,1266,1267,1268,1270,1271,1272,1273,1274,1275,1276,1277,1278,
1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1294,1295,1297,1298,
1300,1303,1304,1306,1307,1308,1309,1312,1313,1314,1315,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1394,1395,
1396,1399,1400,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,
1415,1417,1418,1419,1420,1421,1422,1423,1425,1426,1428,1429,1430,1431,1432,
1433,1434,1435,1436,1438,1440,1444,1445,1446,1447,1448,1449,1450,1451,1452,
1453,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1467,1469,1472,1473,
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,
1505,1506,1507,1508,1510,1511,1512,1513,1514,1515,1516,1518,1519,1520,1521,
1522,1523,1525,1526,1527,1528,1530,1531,1532,1533,1534,1535,1536,1537,1538,
1540,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1579,1580,1581,1583,1584,1585,1586,1589,1590,1591,
1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,
1607,1608,1610,1611,1612,1613,1615,1616,1617,1618,1621,1622,1623,1624,1625,
1626,1627,1628,1629,1630,1632,1633,1634,1636,1637,1638,1640],[1,2,4,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,33,34,35,36,37,38,39,41,
44,47,53,54,55,57,59,64,65,66,68,69,70,72,73,74,75,76,78,79,81,87,89,90,91,92,
93,95,96,99,100,101,102,103,104,105,107,108,109,110,111,112,114,115,116,120,
122,123,124,125,126,127,128,129,130,131,133,134,135,139,142,143,145,146,147,
149,150,156,157,161,165,167,168,169,177,179,182,183,191,200,201,209,211,212,
213,215,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,242,244,
246,249,250,251,252,253,254,255,256,257,258,259,260,261,263,264,266,269,271,
272,277,281,282,283,284,285,286,287,288,289,291,292,294,295,296,297,298,301,
302,305,306,307,308,310,314,315,319,321,326,330,331,332,334,335,336,340,341,
344,345,346,347,348,353,354,356,358,361,369,372,373,375,376,381,384,385,386,
388,390,393,395,397,398,399,400,401,403,404,405,406,407,416,417,418,420,422,
423,427,431,436,437,440,442,443,452,460,461,463,464,477,478,480,481,486,501,
502,503,505,506,511,513,515,518,525,526,537,546,555,557,558,562,563,565,568,
570,572,573,575,577,579,582,583,584,589,590,592,594,596,597,599,601,602,603,
604,609,610,611,613,614,615,618,619,620,622,623,626,627,628,629,632,634,635,
638,640,642,643,646,648,650,651,652,653,654,655,663,664,665,668,669,672,675,
676,678,680,684,687,689,690,694,695,696,700,702,704,707,711,715,717,719,721,
722,724,725,728,731,735,736,741,742,744,746,748,751,752,753,756,757,758,763,
764,765,774,776,777,781,785,795,799,802,810,811,812,815,816,817,822,826,827,
828,831,832,833,836,838,839,840,842,843,845,852,854,856,858,861,863,872,881,
885,887,890,892,910,912,914,915,916,921,922,923,924,928,929,931,932,934,936,
937,938,939,940,942,943,946,947,948,949,950,951,953,954,957,958,959,964,966,
967,968,971,972,973,974,976,977,980,981,982,983,984,986,987,989,990,991,992,
993,995,996,998,999,1000,1002,1003,1007,1008,1010,1011,1012,1013,1014,1015,
1016,1021,1022,1024,1030,1031,1033,1037,1041,1047,1050,1051,1053,1056,1057,
1060,1062,1065,1067,1071,1072,1073,1081,1082,1084,1086,1089,1093,1094,1095,
1096,1097,1098,1100,1108,1109,1113,1117,1119,1123,1125,1126,1127,1137,1138,
1139,1145,1152,1155,1166,1184,1185,1186,1187,1189,1191,1192,1193,1198,1204,
1205,1207,1208,1212,1215,1219,1221,1223,1224,1226,1227,1228,1235,1237,1238,
1239,1241,1242,1245,1246,1247,1248,1249,1250,1251,1253,1254,1256,1257,1258,
1259,1260,1262,1264,1270,1271,1273,1274,1276,1278,1279,1282,1283,1289,1290,
1294,1295,1296,1298,1299,1303,1304,1306,1307,1309,1313,1314,1316,1317,1318,
1319,1321,1325,1339,1352,1362,1375,1376,1379,1380,1381,1383,1384,1385,1386,
1387,1388,1389,1390,1391,1392,1393,1399,1401,1402,1403,1404,1406,1407,1409,
1410,1412,1413,1415,1417,1419,1420,1422,1423,1424,1428,1429,1431,1432,1433,
1436,1444,1446,1448,1449,1450,1457,1460,1468,1469,1473,1475,1476,1479,1494,
1495,1497,1498,1499,1502,1503,1505,1506,1508,1510,1511,1513,1514,1517,1519,
1527,1533,1535,1539,1540,1544,1545,1547,1548,1549,1551,1553,1555,1556,1557,
1558,1559,1560,1561,1564,1566,1567,1570,1575,1581,1587,1591,1593,1595,1596,
1599,1601,1604,1608,1617,1618,1619,1620,1628,1630,1635,1638,1641],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,
469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,
488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,
564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,
583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,
602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,
659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,
697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,
716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,
773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,
792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,
830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,
849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,
887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,
906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,
925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,
944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,
963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,
982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,
1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,
1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,
1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,
1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,
1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,
1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,
1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,
1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,
1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,
1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,
1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,
1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,
1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,
1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,
1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,
1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,
1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,
1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,
1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,
1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,
1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1,
1,1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,2,1,1],[1,2,
1,1],[1,3,1],[1,1,1],[1,2,1,1],[1,1,2,1],[1,3,1],[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],[1,1,2,1],[1,1,1],[1,1,2,1],[1,2,1,1],[1,
1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,2,1],[
1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,
1],[1,1,2,1],[1,3,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,
1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,5,2,1,4,1,1,1],[1,3,1,3,1,3,3,1],[1,3,2,
1,1,1,1],[1,2,1,4,4,2,1,1],[1,2,3,1,1,1,1],[1,3,2,1,1,1,1],[1,1,3,3,1,2,1,1,2,
1],[1,1,2,1,2,1],[1,1,3,3,2,2,1,1,1,1],[1,4,3,1,6,1],[1,2,1,2,1,1,1,1],[1,4,1,
2,1,4,2,1],[1,4,1,2,4,2,1,1],[1,4,1,2,1,2,4,1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,4,3,1,3,3,1],[1,2,1,1,1,1,1],[1,2,3,2,1,2,2,1,1,1],[1,3,
4,1,6,1],[1,2,1,2,2,1,1,1,4,1],[1,3,4,3,1,3,1],[1,1,5,1,2,2,1,2,1],[1,2,2,1,1,
1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,2,2,1,1,2,1,1],[1,1,2,4,2,2,
1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,1,3,2,1,2,2,1,1,1],[1,2,1,3,1,2,1,1,
1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,1,5,2,2,2,1,1],[1,1,4,1,1,1,1],[1,4,1,2,2,4,1,1],[1,1,1,
1,2,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,
1],[1,3,4,1,6,1],[1,1,3,1,2,1,2,1,2,1,1],[1,1,2,2,1,1,1,1],[1,3,1,3,1,3,3,1],[
1,1,1,2,2,1,1,2,1,2,1,1],[1,2,1,2,2,2,1,2,1,1,1],[1,2,1,4,2,2,1,2,1],[1,1,1,1,
2,1,1],[1,2,1,2,1,1],[1,2,5,2,4,1,1],[1,3,3,1,1,3,3,1],[1,1,1,1,2,1,1],[1,4,1,
1,1,1,1,2,2,1,1],[1,3,2,2,4,1,1,1,1],[1,3,4,1,4,2,1],[1,1,5,1,2,1,2,2,1],[1,2,
3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,3,2,1,1,1,2,1],[1,1,2,2,1,
1],[1,1,1,2,1],[1,2,1,4,2,1,4,1],[1,2,1,2,1,1],[1,1,1,1,1,1],[1,1,1,1,2,1,1],[
1,1,1,5,2,2,1,2,1],[1,2,1,2,1,1],[1,2,3,1,1,1,1],[1,3,1,2,1],[1,3,3,1,3,1,3,
1],[1,1,4,1,2,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,4,1,1,
2,1],[1,1,2,2,1,1,1,1],[1,2,1,4,4,1,2,1],[1,2,3,1,1,1,1],[1,1,2,1,1,1,1],[1,1,
2,1,1],[1,2,1,2,1,1],[1,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,
4,1,2,1,2,2,1],[1,3,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,2,2,1,2,2,1,1,1,1],[1,1,1,
4,1,2,1,2,2,1],[1,2,2,1,1,1,1,1],[1,4,1,1,2,1],[1,1,2,1,2,1],[1,1,2,2,1,1],[1,
1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,2,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,3,1,2,1],[1,3,4,1,6,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,2,1,2,1],[1,4,1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,3,1,2,1,2,1,1,1,
1,1],[1,2,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,2,1,4,2,1],[1,
1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,2,1,2,1,1,1,1,2,2,1],[1,1,4,1,1,1,2,2,2,1],[
1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,3,2,
1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,1,1,2,1,2,1,1],[1,1,2,2,1,1,1,1],[1,3,3,1,1,
3,3,1],[1,2,1,2,2,4,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,3,1,3,3,
1,1],[1,3,1,2,1,1,1,2,1,1,1,1],[1,1,4,1,1,1,1],[1,3,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,2,2,1,1,1,1,1],[1,2,1,2,1,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1,2,1,2,1],[
1,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,
1,1],[1,1,2,2,1,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,1,1,2,2,1],[1,1,3,1],[1,2,2,
1],[1,3,1,1],[1,1,1],[1,1,1,2,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,
2,1],[1,1,6,1,3,1,2,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,
1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,6,1,1,3,1,2,1],[
1,1,2,1,1,2,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,1,2,1,1,1,2,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,
1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,3,1,1,3,1],[1,4,
3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,1],[1,4,
3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,1,
1,3,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,2,1,1,1,2,1,1],[1,1,2,1,1,1,2,1],[1,2,1,1,1,2,1,
1],[1,2,4,1,2,2,2,1,1,2,2,1,1,1],[1,2,1,2,6,2,2,3,2,2,1,2,1,2,2,1,1,1,1],[1,2,
1,2,2,2,3,1,1,2,1,1,1,2,1,2,1,1],[1,9,6,3,18,3,2,9,9,6,1],[1,4,3,2,6,6,1,3,3,
6,6,3,6,1,1,2,3,3,6,1],[1,2,5,4,2,2,4,4,1,2,4,1,1,1,1],[1,1,3,4,3,1,2,2,1,1,1,
1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,1,3,1,2,1,1,1,2,2,1,1,1],[1,1,7,7,2,2,
10,1,2,3,2,13,2,4,1,4,1,1,1,1,1],[1,1,3,2,2,3,2,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,
1,1],[1,2,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,2,2,1,2,1,1,1,1,1,
1],[1,2,1,2,6,2,2,3,2,2,1,2,1,2,1,1,1,2,1],[1,2,4,1,2,2,2,1,1,1,2,1,2,1],[1,2,
1,4,4,4,1,1,2,2,2,1,2,1,1,1,2,2,1],[1,2,1,4,8,4,8,4,4,6,4,1,2,2,4,4,4,2,1,1],[
1,3,3,1,1,4,3,3,2,1,2,2,1],[1,2,1,2,2,4,2,4,2,2,1,2,1,1,1,1,1,2,2,1],[1,2,3,2,
2,2,2,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,4,1,4,4,4,2,2,1,2,1,1,2,2,1,
1],[1,2,4,1,4,4,2,2,1,4,2,1,2,1,1,2,1],[1,2,5,4,2,2,2,4,1,4,1,1,4,1,1],[1,1,5,
2,2,1,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,6,1,2,2,4,1,1,3,4,1,1,1,1,1,1,1,
1,1,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,4,3,1,2,3,2,3,1,1,1,1],[1,3,
3,1,1,2,3,2,3,2,2,1,1,1,1],[1,3,3,8,1,1,4,3,8,4,3,8,4,4,1,2,2,2,4,1],[1,2,1,8,
4,4,2,4,8,2,4,1,6,4,4,4,2,4,1,1],[1,2,1,4,2,2,1,2,2,1,1,2,1,1],[1,3,3,1,1,4,3,
3,2,1,2,2,1],[1,1,2,2,1,1,1,1,2,2,1,2,2,1,1,1,1],[1,2,1,4,2,2,1,4,1,1,1,2,4,1,
1,1,1,1,1,1,1,1],[1,4,1,2,2,2,4,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,2,
2,1,2,1,1,1,1,1,1],[1,3,1,3,1,3,1,3,3,1,3,3,1],[1,2,4,5,2,4,6,2,1,1,1,2,2,1,
1],[1,2,4,1,2,2,2,1,1,2,1,2,1,1],[1,1,4,1,1,1,2,2,1,2,1,2,1,1,1,1],[1,2,1,8,2,
4,4,1,4,4,2,1,1],[1,2,2,1,2,4,4,1,2,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,3,2,1,2,3,
2,1,1,1,2,1,1,1,2,1],[1,5,2,1,4,1,2,1,2,1,1,1,1],[1,5,2,1,4,1,1,4,1,2,1],[1,4,
5,2,1,4,1,2,1,6,1,1,2,2,1,1],[1,2,4,1,4,4,2,2,4,2,1,1,1,1,2,1,1,1],[1,2,3,4,2,
1,2,2,2,1,2,2,1,2,1,2,1,1,2,1],[1,2,1,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,2,5,2,
2,1,4,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,4,5,2,1,4,1,1,6,2,1,1,1,2,2,1],[1,2,1,
8,1,1,6,2,1,2,2,1,2,1,1,2,1],[1,2,1,4,2,2,2,2,1,2,1,1,1,1],[1,2,1,4,4,2,2,1,2,
1,1,1,1],[1,3,6,2,1,3,1,3,3,1,6,3,3,6,3,6,1,6,3,2,3,1],[1,5,2,2,2,4,1,1,4,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,2,1,8,2,4,4,1,4,4,2,1,1],[1,2,1,3,3,1,1,1,1,1],[1,2,
5,2,4,4,1,1,2,1],[1,2,5,4,2,2,4,1,6,2,1,1,1,2,1],[1,5,4,2,1,4,1,1,2,6,1,1,1,2,
2,1],[1,2,5,2,4,4,1,1,2,1],[1,2,1,4,4,4,1,2,2,1,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,
1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,5,4,1,2,2,2,2,1,2,2,
2,1,2,2,1,1,1],[1,2,3,4,2,2,1,2,2,2,1,1,4,1,2,1,1,2,1],[1,3,2,2,4,4,1,1,2,6,1,
2,1,1,1,2,1],[1,3,4,4,1,1,1,6,4,2,1,1,2,1,2,1],[1,3,4,4,1,1,1,6,4,2,1,1,2,2,1,
1],[1,1,2,2,5,1,1,1,2,2,1,2,2,2,2,1,2,2,1,1,1],[1,1,6,1,2,4,1,2,4,8,1,3,2,2,2,
4,1,2,2,2,1,1,1,4,1,1,2,4,1],[1,2,3,2,4,1,6,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,4,3,
3,1,3,3,2,2,2,2,1,2,1,1,1,1,1],[1,2,1,4,2,4,1,4,2,1,1],[1,3,1,2,6,3,1,1,3,6,6,
3,6,6,3,1,6,2,3,3,1],[1,1,8,1,1,1,1,1,4,4,4,2,1,1,1,2,1],[1,4,5,6,1,9,6,6,4,6,
3,2,3,6,1,3,1],[1,1,4,1,5,2,1,2,1,2,2,2,1,2,2,1,1,1,1,1,1],[1,1,5,2,6,1,8,1,2,
2,2,2,1,2,2,2,8,3,1,4,1,2,2,4,1,1],[1,2,2,1,2,4,1,4,4,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,2,1,4,4,2,2,4,1,2,4,1,1,1,2,2,1],[1,3,3,9,1,12,4,3,12,3,6,1,1,1,6,1],[1,
2,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,1,4,2,4,2,2,1,4,1,1,1,2,2,1],[1,3,
2,2,4,1,1,4,1,1,2,1],[1,3,2,2,4,1,1,4,1,1,2,1],[1,3,1,1,1,2,1,1],[1,3,1,1,1,2,
1,1],[1,6,1,2,2,1,1,1,3,4,4,1,1,1,1,1,1,1,1,1],[1,2,5,2,4,4,1,1,2,1],[1,1,1,2,
2,1,1,2,1,2,4,1,1,2,2,2,1],[1,1,3,3,1,3,3,4,2,2,2,1,1],[1,1,3,2,2,3,1,2,1,1,1,
3,3,2,1,1,1,1,1,1,1,1,1],[1,1,3,4,3,2,1,2,3,3,2,2,2,1,1,1,1,1,1],[1,1,1,3,2,1,
2,2,1,1,2,2,1,1,1,1],[1,4,3,2,2,2,1,1,3,1,1,2,3,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,
2,3,2,2,3,2,2,1,2,1,1,1],[1,2,5,2,4,4,1,1,2,1],[1,2,3,2,1,2,1,1,1,1,1,1,1,1,1,
1,1,1],[1,2,3,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,
1],[1,4,3,1,3,3,1,3,1,3,3,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,2,3,4,
2,1,1,4,1,1,6,1,1,1,1,1,1,1,1,1],[1,2,5,4,2,1,4,1,2,2,1,2,1,2,2,1,1,1],[1,1,1,
2,2,5,1,2,2,2,2,1,2,2,1,2,1,1,1,1,1,1],[1,1,1,4,5,2,2,2,1,1,1,2,2,2,1,1,1,2,1,
1,1],[1,3,1,3,1,3,1,3,3,1,3,3,1],[1,3,2,2,4,4,1,1,2,6,1,1,2,1,1,2,1],[1,4,3,4,
1,1,6,2,4,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,2,2,2,2,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,
3,1,1,1,1,1,1,1,1,1],[1,1,4,1,4,1,1,1,1,2,2,4,4,1,2,1,1,2,1],[1,5,7,3,1,3,3,6,
9,6,7,1,2,6,3,3,1],[1,1,2,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,6,9,2,6,18,9,6,9,
1],[1,1,6,1,2,5,2,2,1,2,3,10,2,1,10,2,2,2,4,1,1,1,4,1],[1,4,3,4,1,2,3,4,3,2,2,
1,2,1,1,1],[1,4,3,1,2,2,3,3,1,1,1,1],[1,1,2,1,7,2,2,2,1,1,1,2,1,1,2,1,1,1,1,1,
1,1,1],[1,3,3,4,4,1,8,2,1,4,3,4,4,3,4,2,2,4,1,2,1,1,4,1],[1,3,5,3,1,2,2,3,3,2,
2,2,2,1,1,1,1],[1,4,1,2,2,2,1,1,4,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,2,9,4,4,2,12,
2,4,6,4,1,4,4,2,4,1,1],[1,2,5,8,6,8,4,4,2,10,1,1,4,2,4,4,1],[1,3,3,1,1,2,2,3,
3,1,1,2,2,1,1],[1,1,3,5,2,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,7,2,1,
2,2,2,2,2,2,1,1,1,1,2,1,2,1],[1,1,4,1,2,2,1,1,1,1],[1,4,3,3,1,3,1,2,1,3,2,1,2,
1,1,1,1,1,1,1,1],[1,6,1,2,2,1,4,1,1,3,4,1,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,2,1,
2,4,1,1,2,2,2,1],[1,1,1,1,1,1,1,2,1,1],[1,1,1,1,1,1,1,2,1,1],[1,4,1,2,2,2,1,4,
1,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,4,1,2,4,2,4,2,1,1,2,2,1,2,1,1,1,2,1],[1,5,4,2,
1,4,1,2,1,4,2,1,2,1,1,1,1,1],[1,2,1,4,4,2,4,2,2,1,4,1,4,1,1,1],[1,2,1,5,1,1,1,
1,1,1],[1,1,2,3,2,3,1,1,3,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,2,1,2,1,1],[
1,2,3,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,3,1,2,2,3,2,1,3,2,1,3,1,1,1,1,1,1,1,1,1,
1,1],[1,2,5,2,2,2,2,2,4,1,2,1,1,2,2,1,1,1,1],[1,2,1,2,1,2,1,1],[1,1,2,2,2,1,1,
1,1,2,1,1,1,1,1,1,1,1,1],[1,4,3,2,2,1,1,1,4,6,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,
2,2,2,1,2,1,1,1,1,1],[1,3,6,1,2,3,1,3,3,3,6,6,1,6,6,1,6,3,3,2,1],[1,1,4,1,1,1,
1,1,2,2,2,2,1,1,1,1,1,2,1],[1,1,2,1,2,1,2,1,1,2,1,2,2,1,1,1,1,1,2,1],[1,2,3,4,
2,1,2,2,1,2,4,1,2,1,2,1,1,2,1],[1,1,2,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,1,6,1,
2,1,2,1,3,2,2,1,2,2,1,2,1,1,1,1,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,1,8,1,2,2,1,
1,2,4,8,1,2,4,4,4,4,1,2,1,1,1,4,2,4,1],[1,4,3,4,2,1,3,2,3,4,2,1,1,1,2,1],[1,2,
3,2,6,2,6,1,2,4,4,2,1,3,2,2,1,6,1,1,2,4,1,1,2,2,2,1],[1,2,3,2,2,2,4,1,1,1,4,1,
1,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,4,1,2,1,4,2,1,1,1,1,1,1,1,1],[1,1,5,1,2,2,1,
3,1,2,1,1,2,1,2,1],[1,1,4,1,5,1,2,2,2,2,1,2,1,2,2,1,1,1,2,1],[1,3,3,5,1,2,1,1,
2,1,3,3,1,1,1,1,1,1,1,1,1],[1,3,1,7,1,2,2,2,2,3,3,2,1,1,1,2,1],[1,1,4,1,2,2,1,
1,1,1],[1,1,2,4,2,2,1,1,2,2,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,2,2,1,1,
2,2,1,1,1,1,1],[1,4,1,2,2,2,1,4,1,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,4,2,2,1,1,
4,2,2,2,1,2,1,2,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,4,1,4,2,2,1,4,1,2,2,2,1,1,1,
2,2,1,1],[1,2,1,4,4,2,1,1,2,2,1,2,4,1,2,2,1,1,1],[1,4,1,2,4,2,2,1,1,2,4,2,1,2,
1,1,1,2,1],[1,4,1,4,1,2,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,2,3,2,1,2,
1,2,1,1,1,1,1,1,1,1,1],[1,4,1,4,1,2,2,1,1,1,1],[1,3,2,2,1,1,3,1,1,1,1,1,1,1,1,
1,1],[1,1,2,1,2,2,2,1,1,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,2,1,4,4,2,2,2,
1,1,1,1,1],[1,2,1,4,4,4,2,2,4,1,2,1,1,4,1,1],[1,2,1,4,2,1,4,4,1,2,1],[1,3,1,4,
3,1,3,2,2,3,2,2,1,2,1,1,2,1],[1,1,1,2,2,1,1,2,2,1,2,2,1,2,1,2,1,1,1],[1,6,3,2,
1,1,4,1,7,1,1,1,1,1,1,1,1,1],[1,1,4,5,1,2,2,1,1,2,2,2,1,2,1,2,1,1,1,1,1],[1,1,
2,5,2,1,2,2,1,2,1,2,1,2,2,1,1,1,1,1,2,1],[1,1,1,2,2,1,1,2,1,2,4,1,1,2,1,2,1,
1],[1,1,1,1,1,1,1,4,2,2,1,1,1,1],[1,3,4,3,1,1,3,2,2,2,3,2,1,1,2,1,1,1,1],[1,2,
1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,4,1,4,2,2,1,1,2,4,4,8,1,2,2,2,4,4,1,1,
1,1,2,2,4,4,1],[1,4,3,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,3,1,1,1,1,
1,1,1,1],[1,4,3,4,1,1,6,2,4,1,1,1,1,1,1,1,1,1],[1,2,3,2,4,1,6,1,2,1,4,1,1,1,1,
1,1,1,1],[1,1,2,3,5,2,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,3,5,2,2,1,2,2,
1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,5,2,2,1,2,1,2,1,2,2,1,1,1,1,1,2,1],[1,3,
3,9,1,9,1,6,9,9,3,9,3,1],[1,3,7,5,1,4,8,2,7,4,6,3,2,1,4,4,1,1,2,1],[1,4,1,2,2,
2,1,4,1,2,1,1,4,1,1,1,1,1,1,1,1,1],[1,4,3,1,2,1,1,2,2,1,1,2,1,1],[1,2,1,3,1,2,
1,1,1,2,2,2,1,1,1,1],[1,2,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,1,3,3,3,1],[
1,6,1,2,2,1,4,1,1,3,4,1,1,1,1,1,1,1,1,1],[1,2,3,2,4,1,4,1,2,4,1,2,1,1,1,1,1,1,
1,1],[1,2,2,3,3,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1,1],[1,4,3,1,1,1,2,2,1,1,1,1,1,
1,1,1],[1,4,3,1,1,1,2,2,1,1,1,2,2,1],[1,6,1,2,2,4,1,1,1,3,4,1,1,1,1,1,1,1,1,
1],[1,2,3,2,4,1,4,1,2,4,1,2,1,1,1,1,1,1,1,1],[1,6,1,2,2,1,1,3,4,1,4,1,1,1,1,1,
1,1,1,1],[1,4,1,4,1,2,2,1,1,1,1],[1,1,4,3,4,3,1,3,3,6,6,12,4,1,6,1,6,1,1],[1,
1,8,3,3,1,3,3,12,12,4,2,6,6,1,1],[1,4,3,1,1,1,2,2,1,1,1,2,2,1],[1,1,4,2,1,2,1,
1,1,1],[1,1,4,2,2,1,1,2,2,2,1,1,1,1,1],[1,2,1,4,4,4,2,2,4,1,2,1,1,1,2,2,1],[1,
2,1,4,4,4,2,1,1,2,1],[1,1,1,6,6,1,4,1,6,6,2,1,6,2,2,2,1,2,2,2,2,1,1,1,2,2,2,
1],[1,3,6,2,1,1,1,1,4,7,1,1,1,1,1,1,1,1],[1,1,1,2,6,1,2,2,2,1,1,1,1,2,1,2,1,1,
1,1,1,1,1,1],[1,1,1,8,1,4,1,1,1,4,4,2,2,1,2,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,1,
1,1,1,1],[1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,2,1,1,1,1,
1,1,1,1,1],[1,2,1,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,2,1,2,2,2,2,1,1,1,1,1,
1],[1,4,3,2,2,4,1,1,4,2,2,1,1,1,1,2,2,1],[1,3,8,1,1,1,8,4,2,2,2,1,1],[1,4,3,2,
2,4,1,1,2,2,4,1,1,1,2,2,1,1],[1,1,5,3,2,1,2,2,2,2,1,1,2,2,1,2,1,1,2,1],[1,4,3,
2,2,4,1,1,4,2,2,1,1,1,1,1,1,1,1,1],[1,1,1,5,2,1,2,1,2,3,2,2,1,1,1,1],[1,1,2,5,
3,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,4,2,2,1,1,4,1,1,1,2,4,1,1,1,1,1,
1,1,1],[1,1,4,1,1,1,2,2,1,2,1,2,1,1,1,1],[1,4,3,2,2,4,1,1,2,4,2,1,1,1,2,1,2,
1],[1,4,3,4,1,1,2,1,4,4,2,1,1,1,1,1,1,1,1],[1,6,3,2,1,1,7,1,4,1,1,1,1,1,1,1,1,
1],[1,4,1,2,2,2,1,1,2,1,4,1,4,1,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,4,1,1,2,1],[1,
2,3,4,2,1,2,2,2,1,4,1,2,1,2,1,1,2,1],[1,3,2,3,2,1,1,1,3,1,1,3,1,2,2,1,1,1,1,1,
1,1,1],[1,2,3,2,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,4,1,4,1,2,1,1,2,2,2,1,2,2,1,1,
1,1,1,2,1],[1,2,3,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,4,5,2,1,4,1,1,6,2,1,1,1,2,2,
1],[1,4,1,2,2,2,1,1,4,1,2,1,4,1,1,1,1,1,1,1,1,1],[1,4,5,2,1,4,1,1,2,4,2,1,1,1,
2,1,1,1],[1,3,4,2,2,4,1,1,4,2,2,1,1,1,1,2,2,1],[1,6,3,2,4,1,1,7,1,1,1,1,1,1,1,
1,1,1],[1,2,1,4,4,1,4,2,1,2,1],[1,3,6,6,12,3,1,6,2,6,3,2,6,6,3,1],[1,4,3,1,1,
2,2,1,1,1,1,1,1,1,1,1],[1,1,4,2,2,1,2,1,2,2,1,1,1,1,1],[1,4,1,2,2,2,1,4,1,2,1,
1,4,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,
2,1,2,1,1],[1,1,4,1,2,2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,2,1,1],[1,1,2,2,1,1,1,2,1,
2,1,2,2,1,1,1,1],[1,1,2,1,2,4,1,2,1,1,2,2,1,2,2,2,1,1,1,1,1,2,1],[1,1,1,4,1,2,
2,2,1,2,2,1,1,1,1],[1,1,6,2,1,3,2,1,2,2,3,3,1,6,1,1,4,2,3,4,2,1,2,2,2,1,4,1,2,
1],[1,1,1,1,1,2,1,3,1,2,1,1,1,1,1],[1,1,1,1,2,1,1,1,2,1,2,2,1,1,1],[1,1,2,2,1,
5,1,2,2,1,2,2,1,2,2,2,1,2,1,1,1],[1,1,4,5,1,1,2,2,1,2,1,2,2,2,2,1,1,1,2,1],[1,
1,1,2,2,1,1,2,2,1,2,2,1,1,1,2,2,1,1],[1,1,3,3,1,2,3,3,2,2,2,1,1,1,1],[1,1,4,1,
1,1,2,1,2,2,1,2,1,1,1,1,2,1,1],[1,1,1,1,4,1,1,1,2,1,1],[1,1,1,4,1,2,1,1,2,3,2,
1,1,1,2,1,1,1],[1,2,1,2,2,2,1,2,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,1,3,1,1],[1,3,
1,3,1,3,1,1],[1,3,3,1,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,9,2,2,6,6,1,1],[1,3,1,1,
2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,1],[1,1,1,1,2,2,1,1,1,1],[1,3,2,2,
1,3,1,1],[1,3,4,1,1,6,4,3,1,6,1,1],[1,3,3,9,1,1,9,9,3,3,1,3,3,3,1,1],[1,3,3,1,
4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,3,1,1,2,3,1,2,1,
1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,3,9,3,1,1,9,9,3,1,3,3,3,1,3,1],[1,1,2,6,1,3,1,
3,1,2,2,3,1,1,1,1],[1,1,4,1,1,2,4,1,1,1,2,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,3,
4,1,3,3,4,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,
4,1,3,3,4,3,1,1],[1,1,4,2,1,1,4,2,4,1,2,1,1,2,4,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,
1],[1,1,1,2,1,1,1,1,2,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,4,4,1,6,4,1,1,1],[
1,6,3,4,1,3,3,4,3,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,9,3,3,1,1,9,9,1,3,
3,3,3,1,3,1],[1,3,3,1,4,3,1,3,4,1,1,1],[1,1,2,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,2,
1,6,6,1,6,3,6,1,3,2,1,2,2,3,2,1,2,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,1,1,1,
1,2,1,1,1,1,1,1],[1,1,3,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,3,1,1,1,3,3,3,3,1,1,1,
3,3,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,4,3,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,
1],[1,4,3,4,1,3,3,4,1,1,1],[1,2,1,2,1,1,1,1,2,2,1,1,1,1,1,1],[1,1,2,1,1,2,1,2,
1,1,2,1],[1,4,3,4,1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,2,1,4,1,2,1,4,2,1,4,1,
2,4,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,2,1,1,2,1,2,1,1,2,1,1],[1,3,1,3,4,
1,3,3,4,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,4,3,1,1,3,3,4,3,1,3,1,3,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,2,6,1,
3,3,1,1,2,2,3,1,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,2,5,1,2,4,1,2,5,1,4,2,1,1],[
1,1,5,3,6,1,3,6,3,1,3,3,1,1,2,1,2,3,1,1,1,2,1,1,1],[1,1,2,3,9,1,6,1,3,3,6,1,2,
3,1,3,2,1,1,1,2,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,
2,1,6,1,3,1,3,2,2,1,3,1,1,1,1],[1,1,8,6,1,6,1,3,6,3,1,2,2,2,3,1,1,2,1,2,1],[1,
2,1,1,2,1,2,1,1,2,1,1],[1,1,2,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,2,1,1,3,3,1,2,1,3,
1,1,1,1],[1,1,4,4,3,3,1,3,3,6,3,4,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,8,3,3,
1,3,6,3,4,3,1,2,2,1,1,3,1,1,1,1,2,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,7,1,
6,1,3,6,3,3,3,1,1,1,2,1,2,3,1,1,1,2,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,3,
1,3,4,3,1,1],[1,6,3,4,3,3,1,4,3,1,1],[1,1,12,1,1,3,3,1,4,3,1,1,1,1],[1,6,3,4,
3,1,3,4,3,1,1],[1,2,1,1,6,1,2,1,3,2,1,1],[1,1,5,9,1,6,6,3,3,1,1,3,1,2,3,2,2,1,
1,1,1],[1,6,3,4,3,3,1,4,3,1,1],[1,2,7,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,11,3,1,6,
3,4,6,1,1,3,2,3,2,2,1,1,1,1],[1,1,2,1,1,6,1,2,3,2,1,1],[1,2,1,12,1,6,6,1,6,2,
1,4,3,2,2,2,1,1],[1,1,1,1,1,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,
1,1,1],[1,3,3,9,1,1,9,9,3,3,1,3,3,3,1,1],[1,3,1,9,3,1,1],[1,3,6,4,3,4,6,1],[1,
3,1,1,3,1],[1,3,6,3,2,1,1,1,4,3,3,2,3,3,2,1,2,2,2,1,1,2,2,2,1,1,2,2,3,1,2,1,1,
1,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,9,4,4,4,2,12,2,2,4,6,4,
4,1,6,4,4,2,2,4,1,1,2,1,2,4,4,2,1,1,2,1,1],[1,1,4,5,4,1,2,2,1,3,1,2,2,4,2,4,4,
1,1,2,2,1,2,2,1,2,1,2,1,1,2,4,2,2,2,4,1,2,1,2,2,2,1,2,2,1],[1,2,4,1,4,4,4,2,2,
1,4,4,2,1,2,2,1,1,2,2,1,1,1,1],[1,2,4,1,2,2,2,2,2,1,2,2,1,2,1,2,1,1,1,1,1],[1,
2,4,9,4,4,2,12,2,4,4,6,4,6,2,1,4,4,1,2,4,4,1,4,2,2,2,1,1,2,2,1,1,1],[1,3,6,1,
2,2,6,3,1,1,3,6,6,1,3,6,3,6,6,3,6,1,6,6,3,1,6,6,2,3,3,3,3,3,3,3,3,3,3,2,1,3,1,
1,1,3,3,3,3,1],[1,5,7,3,1,3,3,6,6,9,6,2,7,1,6,2,6,6,3,6,3,1,6,3,3,3,6,2,1,1],[
1,5,7,4,12,3,24,2,1,3,3,6,12,12,9,6,12,12,12,7,24,4,6,1,2,6,3,12,24,4,6,12,12,
3,6,6,24,1,3,6,12,12,4,3,2,6,1,3,12,1],[1,3,3,2,6,9,1,1,9,6,6,1,6,1,3,9,9,6,6,
3,3,3,3,6,2,3,3,9,3,3,3,3,3,1,3,1,1,3,3,3,3,1,1],[1,3,6,3,2,8,1,1,4,4,1,8,3,8,
3,4,2,3,3,2,4,8,1,2,2,4,1,1,4,1,2,1,2,1,1,1,2,2,2,4,3,2,4,1,1,1,2,2,4,1,1,1,2,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,3,4,1,1,2,2,2,3,2,2,3,2,4,4,2,1,2,1,2,
1,2,2,1,1,1,2,2,2,2,2,2,2,1,2,2,1,1,2,1,1,1,1,2,2,2,1,1],[1,4,3,8,1,7,3,1,6,2,
3,2,2,4,1,3,2,2,2,1,4,1,1,2,1,1,1,1,1,1,1,1],[1,4,5,4,6,2,1,9,6,2,2,6,4,2,6,3,
4,2,3,2,6,1,3,4,2,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,2,8,1,4,4,4,4,2,2,4,4,8,4,1,
4,2,1,2,1,2,1,2,1,2,2,1,4,2,4,2,2,1,4,1,2,1,1,2,2,2,2,1,2,1],[1,1,8,1,6,6,1,4,
1,6,4,8,6,2,1,6,2,2,4,4,4,4,4,2,1,2,4,2,2,1,4,2,2,1,1,1,4,1,2,2,2,2,2,2,4,2,4,
4,4,1,2,1,2,2,1,2,1],[1,2,5,4,8,6,8,4,4,2,4,2,10,4,1,2,1,4,2,4,4,4,2,1,4,4,1,
2,1,1,1,2,1],[1,3,7,5,1,4,8,2,4,7,4,6,4,3,2,1,4,4,4,1,1,4,2,2,2,2,1,1,1,2,1],[
1,8,5,2,2,2,4,1,1,4,1,4,1,1,1,8,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1,2,1,2,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,2,1,2,6,2,2,
1,2,1,2,1,1,2,2,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,5,4,6,1,9,6,4,2,
6,4,6,4,3,2,2,2,3,6,1,3,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,8,3,4,4,3,2,4,1,
2,8,3,3,8,2,2,2,2,4,6,12,4,2,1,1,2,6,1,1,1,2,1,2,1,1,1,1,1,1,1,1,4,6,1,1,1,2,
2,2,1,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,6,9,4,2,2,6,2,18,4,9,4,4,6,9,1,2,
4,4,1,1,2,1,1,2,1],[1,3,4,3,4,4,4,1,8,2,1,4,2,4,4,8,3,4,4,2,2,3,2,4,4,4,2,1,2,
4,1,2,2,1,1,2,1,2,4,2,1,2,1,2,2,2,2,2,4,2,2,4,2,1,1,1,2,2,1,1,2,1,1,1],[1,3,7,
5,1,4,8,2,2,4,7,4,2,6,3,2,1,4,2,2,4,2,1,1,1,1,2,2,2,1,1,2,1,2,1],[1,2,5,4,2,2,
2,4,1,8,4,1,1,4,4,1,1,2,1],[1,1,12,3,2,2,3,1,2,4,1,8,1,1,3,3,2,14,14,2,6,4,1,
2,2,1,6,1,1,1,1,4,1,1,2,2,1,1,1,1,1,1,1,2,7,1,1,1,4,1,2,1,1,1,1,1,1,1,2,1,1,1,
1,1,1,1],[1,1,10,3,2,4,3,2,4,1,1,2,8,3,3,13,2,12,1,4,4,1,2,2,2,2,1,6,1,2,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,4,2,1,6,1,2,4,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,
5,7,3,1,3,3,6,2,6,9,6,7,1,2,6,3,6,3,6,3,6,6,1,3,2,1,3,6,1],[1,6,3,2,2,2,4,4,1,
1,1,4,2,4,6,3,4,3,1,4,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,2,2,4,4,1,1,2,4,6,2,4,4,2,
8,1,2,1,2,2,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,1,2,1,2,2,1,2,2,2,1,1],[1,3,7,5,1,
4,8,2,8,7,4,6,3,2,1,4,4,4,1,1,4,4,2,2,2,1,2,1],[1,3,6,3,2,9,1,9,1,1,6,9,9,3,6,
3,6,1,6,6,3,1,3,6,9,3,3,3,3,3,3,3,2,3,3,3,3,1,3,1,3,1,1],[1,4,3,4,4,2,1,5,3,3,
2,2,3,2,4,2,2,1,3,2,2,2,1,4,1,1,2,1,1,1,1,1,1,1,1],[1,5,11,15,1,3,27,30,2,12,
21,10,42,7,6,5,15,36,2,18,3,24,3,3,1,3,30,6,6,4,3,1,12,2,3,1],[1,4,3,4,4,4,1,
1,1,8,6,2,4,4,2,8,2,2,1,2,1,2,1,1,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,2,1,2,2,1,2,2,
1,1],[1,8,3,2,2,4,4,1,1,2,4,2,6,4,8,2,4,1,1,2,2,2,1,2,1,1,2,2,1,2,2,1,2,2,2,2,
2,2,1,2,1,2,2,2,2,2,1,1,1],[1,3,6,3,2,9,1,12,1,4,3,12,3,10,3,3,2,1,10,2,6,2,2,
1,2,2,2,1,4,1,1,6,1,1,3,1,1,2,1,4,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
5,8,1,2,2,4,4,1,3,1,2,4,4,1,2,2,4,4,1,2,2,1,2,2,2,1,1,2,1,1],[1,6,9,4,2,6,4,2,
18,4,9,2,4,4,6,4,9,2,1,1,1,1,1,2,2,1],[1,3,15,13,9,12,48,6,8,15,12,42,3,30,3,
36,12,4,32,12,4,3,1,12,6,4,12,6,6,3,1],[1,1,6,5,2,2,6,1,8,1,2,2,2,2,4,1,8,1,2,
2,3,2,2,3,2,4,8,1,2,2,3,1,1,4,1,1,2,2,2,1,4,1,1,1,2,1,1,4,3,1,1,1,2,1,4,2,2,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,5,4,2,1,4,4,1,2,2,1,8,4,2,4,4,2,1,1,1,
1,1,2,2,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1],[1,1,10,1,2,4,5,2,2,4,1,2,1,1,8,1,2,5,2,12,1,4,4,1,10,2,2,1,2,2,2,1,1,4,1,
1,1,2,1,1,1,1,2,1,1,4,1,1,2,1,4,1,2,1,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[
1,4,5,4,6,1,9,6,2,2,6,4,2,6,4,3,2,2,2,3,6,1,3,2,2,1,1,1,2,4,1,1,1,1,1,1,1,1,
1],[1,1,6,7,2,7,2,2,10,1,1,2,3,2,13,3,10,3,2,1,10,2,2,4,2,2,1,1,2,4,1,1,2,1,4,
2,1,1,1,3,1,1,1,4,1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,2,1],[1,1,5,6,10,1,12,1,
2,2,6,2,6,2,2,1,2,2,6,2,2,2,8,2,3,2,2,2,1,2,2,4,2,2,2,1,2,1,2,2,2,1,1,2,2,1,4,
2,2,1,2,2,2,2,1,2,1,2,2,1,2,2,1],[1,6,5,2,4,2,1,4,4,1,1,2,4,1,7,3,4,1,4,2,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,4,7,4,6,4,4,3,4,2,2,1,4,4,4,4,2,4,2,
1,1,2,1,2,2,1,4,4,4,2,4,1,2,2,1,2,1,2,1],[1,2,4,9,4,4,2,12,2,4,6,4,6,6,1,4,4,
1,2,4,1,2,2,3,4,4,1,2,2,1,1,1],[1,1,4,5,4,2,6,1,8,1,2,2,2,2,4,4,8,1,2,2,2,2,4,
8,2,4,4,3,1,1,4,1,2,2,2,2,4,1,2,1,2,1,2,4,2,2,4,2,4,1,4,1,2,1,1,2,2,2,2,2,1],[
1,3,7,8,5,1,4,8,4,2,2,7,4,2,6,8,4,3,8,4,2,1,4,2,2,4,4,4,4,1,1,2,1,1,2,2,4,4,4,
2,4,2,1,1,2,2,1,2,1],[1,6,4,9,2,6,18,6,6,9,1,6,9,6,6,3,3,3,1,1],[1,2,4,1,4,4,
4,4,2,2,8,2,4,2,2,1,2,8,2,1,2,2,2,2,1,1,1,1,2,1,2,4,2,2,2,1,2,2,2,1,1,2,2,2,2,
1,2,2,1],[1,8,3,2,2,4,4,1,1,4,2,4,2,6,4,8,2,1,1,1,2,1,2,2,2,1,2,1,2,1,2,2,1,2,
2,2,2,2,2,2,1,2,2,2,2,1,1,2,1],[1,3,3,1,1,8,2,2,3,3,4,1,4,4,1,2,2,1,2,1,4,1],[
1,2,4,9,4,4,2,12,2,4,6,4,6,6,1,4,4,1,2,4,1,2,2,3,4,4,1,2,1,1,2,1],[1,2,5,4,2,
2,4,4,1,2,4,4,1,1,1,1,2,1],[1,8,3,4,4,1,2,1,1,6,4,8,2,8,4,2,2,1,2,2,2,1,2,1,2,
1,2,2,2,1,1,2,2,1,2,2,2,2,1,2,2,1,2,1,2,2,1],[1,3,7,8,5,1,4,8,4,2,4,7,4,6,8,4,
3,8,4,2,1,4,8,4,4,2,1,1,2,2,2,2,2,4,4,2,4,2,1,1,4,4,1,2,1],[1,2,5,4,2,2,2,4,1,
4,4,1,1,4,1,1,2,1],[1,6,9,2,6,6,2,6,3,18,1,3,6,6,9,6,1,3,1,6,3,3,6,3,2,3,3,3,
9,6,1,3,3,1,3,1,3,1],[1,3,8,3,4,4,1,8,2,1,4,4,8,3,4,4,4,4,4,3,4,4,4,2,2,1,1,2,
4,1,4,2,2,2,1,1,2,1,4,4,2,4,2,4,2,2,1,1,1,2,1,1,1,2,1,1,2,2,1],[1,2,5,4,8,2,6,
8,4,4,2,4,2,10,1,4,1,4,2,4,4,4,1,4,2,1,4,2,1,1,1,2,1],[1,2,5,4,2,2,4,4,1,8,2,
4,1,1,1,4,1,2,1],[1,3,6,6,4,12,3,1,6,2,6,6,6,3,2,6,6,6,1,3,3,6,3,3,1,1],[1,3,
7,5,1,4,8,2,4,7,4,4,6,3,2,1,4,4,4,4,1,1,2,2,2,2,1,1,2,1,1],[1,2,6,1,2,4,4,4,1,
2,4,2,4,3,4,3,1,4,1,4,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,4,8,4,2,8,4,4,2,4,4,6,4,1,2,2,4,4,
4,4,4,4,2,2,1,1,1,1,1,2,1,2,1],[1,2,5,2,6,2,2,3,4,5,3,2,2,1,2,1,1,2,4,2,2,2,2,
2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,6,1,2,4,4,4,4,1,2,4,2,4,3,4,3,1,1,4,2,1,1,1,
1,1,1,1,1,1,1,1,1,3,1,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,2,8,1,4,4,2,4,8,2,2,4,8,4,1,4,1,2,2,2,4,2,1,1,2,4,1,2,1,1,1,4,2,2,1,
1,2,2,2,1,2,2,2,1],[1,2,5,4,8,2,2,2,2,4,2,4,4,1,4,4,2,4,4,4,4,4,2,1,1,4,1,1,1,
2,1,2,1],[1,6,5,2,2,2,2,4,1,1,4,1,3,4,1,1,4,1,7,1,1,4,1,1,1,1,1,1,1,2,1,1,1,1,
3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,8,
1,8,1,4,1,1,1,4,4,4,4,4,2,2,2,2,1,2,1,1,2,1,1,2,2,1,1],[1,3,3,4,4,1,8,2,1,4,4,
3,4,4,4,3,4,2,4,4,4,8,2,4,1,4,2,1,2,2,1,4,4,4,2,1,4,1],[1,1,1,1,2,4,1,1,1,2,2,
1,2,2,2,1,1,1,1,1,1],[1,6,5,2,4,2,1,4,1,1,2,4,1,7,3,4,4,1,4,2,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,5,4,4,2,1,4,1,2,8,1,2,4,4,4,6,2,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,2,
2,2,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,5,2,6,6,6,1,9,6,4,4,3,6,4,
1,6,3,2,2,3,6,1,2,3,3,1,6,2,1,1,3,2,4,1,2,1,1,1,1,2,2,2,2,2,2,4,2,2,1,1,1,1,1,
1,2,1,2,1],[1,3,12,4,1,3,3,6,12,6,1,6,6,3,6,6,3,3,1,3,1],[1,1,2,3,2,2,2,3,1,2,
1,3,1,1,3,3,2,1,3,1,2,2,1,1,1,1,1,1,2,1,1,1,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,6,2,1,7,1,3,3,2,2,2,1,6,2,3,3,6,
3,2,2,6,2,2,2,1,1,1,2,6,1,1,3,2,2,3,2,1,1,1,1,1,1,1,1],[1,6,9,4,2,6,6,18,9,6,
6,6,9,3,1,6,3,3,1,1],[1,1,6,3,6,2,2,3,1,2,1,1,4,1,1,4,8,3,3,2,7,1,7,14,6,1,1,
1,1,1,6,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,7,1,1,1,1,2,1,4,1,1,1,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,3,12,4,1,3,3,6,12,6,6,6,1,3,6,3,6,3,1,3,1],[1,3,3,1,1,12,
3,3,6,1,6,6,3,1],[1,4,3,8,1,2,1,1,2,8,4,2,2,2,2,2,1,1,2,1,1,1,2,2,1,1],[1,3,3,
1,1,6,6,3,3,1,3,6,6,3,3,4,1],[1,3,1,3,1,3,2,1,3,3,6,1,3,3,6,6,6,1,3,3,3,1,2,3,
6,3,1],[1,2,3,4,4,2,2,1,2,7,2,1,1,2,2,1,2,4,2,1,1,2,2,2,2,1,2,1,2,1,2,2,1,1,1,
1,1,1,1,1],[1,9,4,6,3,18,3,2,9,6,6,9,6,3,1,6,6,1,3,3,1],[1,4,5,2,6,6,6,1,9,6,
3,6,4,1,6,3,6,6,3,6,1,2,3,6,1,3,3,3,2,3,3,3,6,1,3,3,6,1,3,3,3,3,1,1,1],[1,4,3,
6,6,12,3,1,4,6,2,6,2,2,4,3,2,4,1,6,6,3,1,2,2,4,2,1,2,2,1,1,1],[1,4,3,8,1,1,1,
2,2,8,4,2,2,2,2,1,1,1,2,2,1,2,2,1,1,1],[1,4,3,2,2,2,1,6,2,3,2,1,2,3,1,1,1,1,4,
1,2,1,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,2,9,4,4,2,4,2,12,2,4,2,4,6,4,1,4,4,4,2,4,
4,1,1,2,4,4,1,1,2,1,2,1,1],[1,2,9,4,4,4,2,12,2,2,4,6,4,4,4,1,2,4,4,4,2,4,4,1,
2,1,1,4,1,1,1,2,2,1],[1,4,3,6,6,12,3,1,6,2,6,2,2,4,4,3,2,4,6,6,1,3,2,2,2,1,4,
1,2,2,1,1,1],[1,2,4,1,2,2,2,2,2,1,2,2,1,1,2,1,2,1,1,1,1],[1,2,5,4,8,6,8,2,4,2,
4,2,2,10,4,1,2,1,4,2,4,2,2,1,4,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,8,8,2,8,
2,1,2,4,4,4,3,2,1,1,8,4,4,2,1,6,6,4,4,1,1,4,2,4,2,2,4,2,1,2,1,2,4,2,1,1,1,2,2,
3,1,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,7,15,9,2,9,18,36,6,27,24,18,15,18,6,9,36,8,
36,18,9,9,6,6,6,1,9,9,1],[1,3,8,3,1,1,2,2,3,4,4,4,3,4,1,2,2,2,1,2,2,4,1,2,1,1,
1,2,2,1,2,4,2,1,2,1,1,1,2,1,2,2,1,1,1],[1,4,3,4,2,2,4,4,1,1,4,2,4,6,2,4,2,8,1,
2,1,2,2,1,1,1,1,1,2,2,2,2,2,1,2,2,2,2,2,2,2,1,2,2,2,2,1,2,1,1],[1,4,3,4,4,4,1,
1,1,8,6,2,4,4,2,8,2,2,2,1,1,2,1,1,2,1,1,2,2,2,2,1,2,2,2,2,2,2,2,1,2,2,1,2,2,1,
2,1],[1,1,4,1,2,2,5,1,2,2,2,2,2,1,2,2,2,2,4,2,1,2,2,2,2,1,1,1,1,2,1,2,1,2,1,1,
1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,10,2,6,1,2,4,4,
2,2,2,1,2,5,2,4,1,8,1,1,4,2,4,2,2,2,1,2,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,
6,10,3,4,1,1,3,10,6,6,2,2,3,2,6,2,6,6,2,3,2,1,2,2,2,2,2,2,6,2,2,1,2,1,2,2,3,1,
1,2,3,2,2,2,2,2,1,1,2,1,2,2,1,1,1,2,1,1],[1,3,1,8,3,1,3,4,4,1,3,3,4,4,1,4,2,2,
3,2,3,2,4,1,2,1,2,1,1],[1,1,4,1,4,8,1,4,1,1,1,4,2,4,2,4,4,2,2,2,1,2,1,1,2,2,1,
1,2,2,1,1],[1,1,4,1,4,1,4,1,1,1,2,2,4,4,2,2,1,2,1,1,2,1,1,1,1],[1,2,5,4,2,6,4,
4,1,6,2,1,2,3,1,2,1,1,1,1],[1,2,4,5,2,4,4,4,6,2,1,1,1,2,2,2,2,1,1,1,1,1],[1,1,
8,1,4,4,5,2,2,4,2,1,1,8,1,2,4,2,10,2,2,4,2,12,4,2,1,2,2,1,4,1,1,1,2,1,1,1,1,1,
1,1,2,1,4,2,1,1,4,2,2,1,4,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,8,1,1,4,1,
1,1,4,4,4,2,2,2,1,1,1,2,1,1,1,1],[1,3,4,7,4,5,1,4,8,2,2,7,4,6,6,2,3,6,12,4,2,
1,4,1,2,4,6,2,2,1,1,2,2,2,1,2,1,1,6,2,2,2,2,1,2,1,2,1,1,2,1,1,2,1,1],[1,8,5,2,
2,2,4,1,1,4,4,1,4,1,1,1,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,
2,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,6,4,2,4,5,3,2,3,2,2,1,2,
1,1,1,2,2,2,1,1,1,2,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,3,8,7,5,1,4,8,2,7,4,6,12,12,
4,3,4,2,1,4,2,2,6,4,1,1,2,4,4,2,6,2,2,2,2,2,2,2,1,2,1,2,1,1,1,2,1],[1,3,7,4,4,
5,8,2,1,4,8,4,2,2,2,7,4,6,4,4,3,4,2,2,1,4,4,4,4,2,4,1,1,2,1,1,1,2,4,4,2,4,2,1,
1,1,4,4,1,1,1,1,1,1],[1,3,6,6,4,12,3,1,6,2,6,6,6,3,2,1,6,6,6,3,3,6,3,3,1,1],[
1,1,4,3,4,3,2,1,2,2,3,3,2,2,2,4,2,2,2,2,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,2,1,
1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,3,2,4,3,2,1,1,2,3,3,1,2,5,1,
2,2,2,2,1,2,1,1,1,1,2,1,2,1,2,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,1,
1,1,1,1,1,1],[1,1,4,7,4,7,2,2,10,1,2,3,2,13,6,4,6,12,4,2,4,2,1,1,6,4,1,1,1,2,
2,1,6,2,1,2,2,2,4,4,1,1,2,2,1,2,2,2,1,1,1],[1,3,3,16,1,1,8,2,2,3,16,8,3,16,8,
8,8,8,1,4,4,1,4,2,8,2,1,2,2,2,1,4,4,1],[1,1,6,5,2,1,2,2,1,1,3,1,2,3,2,3,2,1,2,
2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1],[1,4,3,6,6,12,3,1,2,4,6,2,6,2,4,3,2,1,6,6,3,2,4,4,2,1,2,1,2,1,1,2,1],[1,
4,3,1,2,3,3,2,2,2,1,1,2,3,1,1,1,1],[1,3,7,5,1,4,8,2,4,2,2,7,4,6,3,2,1,4,4,2,1,
1,2,2,1,2,2,2,1,1,2,1,1,2,1],[1,3,6,1,2,3,1,3,1,1,3,3,3,6,3,6,1,6,6,1,1,6,3,3,
3,3,3,3,3,3,3,3,2,3,1,1,1,3,3,3,3,1],[1,2,1,4,8,4,4,2,2,4,4,8,2,4,1,2,4,6,4,4,
4,4,2,4,1,4,2,1,1,2,2,1,1,2,1,2,1],[1,2,1,4,8,2,2,4,4,1,4,2,4,2,2,2,1,1,2,1,1,
1,1,2,2,1],[1,1,6,2,1,7,2,1,2,2,3,3,2,2,1,6,2,2,1,1,4,2,3,2,4,2,2,2,2,1,1,2,1,
2,2,2,2,2,1,1,1,4,1,2,2,1,1,1,1,1,1,1,1],[1,3,12,1,4,3,1,3,1,3,3,6,12,12,2,12,
12,1,12,3,1,6,3,3,3,3,6,6,4,1,3,3,2,6,1],[1,2,1,4,2,2,2,2,1,2,2,2,2,1,1,2,1,1,
1,1,1],[1,2,1,4,4,2,2,4,4,1,2,4,4,2,1,2,1,1,2,2,1,1,1,1],[1,2,4,1,8,4,4,2,4,4,
8,2,4,2,2,1,4,6,4,4,1,4,2,4,1,1,4,4,2,2,2,1,1,2,1,2,1],[1,6,3,2,2,2,4,4,1,1,1,
4,2,4,6,3,4,3,1,4,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,9,4,4,4,2,12,2,4,2,4,6,4,4,1,2,4,
4,4,2,4,4,1,2,1,1,4,1,1,1,2,2,1],[1,2,4,1,4,2,4,4,2,2,1,4,4,1,2,1,1,2,2,2,1,1,
1,1],[1,2,4,1,4,8,4,8,4,4,6,4,2,2,1,4,4,2,2,4,4,4,4,1,2,2,1,1,2,2,4,1,1,2,2,1,
1],[1,2,4,1,8,2,4,2,4,2,1,4,4,2,2,1,2,1,2,1,1,1,2,2,1,1],[1,1,7,2,6,7,8,1,2,2,
10,2,2,1,2,1,3,3,2,13,2,2,8,3,2,4,3,1,4,1,3,4,1,1,1,2,2,4,1,2,1,1,3,3,1,1,2,3,
1,2,1,1,1,1,1,1,1,1,1,2,1,1],[1,8,3,4,4,1,8,2,1,1,6,4,8,2,4,2,2,2,2,2,1,1,2,2,
1,2,1,1,2,1,2,2,1,2,2,2,2,2,1,2,2,2,1,1,2,2,1],[1,1,1,6,6,1,4,1,6,6,2,1,6,2,2,
4,4,2,1,2,2,2,2,1,1,1,2,1,2,2,2,2,2,2,2,1,1,2,2,1,1,1],[1,5,7,3,1,3,3,6,4,4,9,
6,7,1,2,6,3,2,2,3,2,2,2,2,1,1,1,2,2,1],[1,2,4,1,2,2,2,2,2,1,2,2,1,2,2,1,1,1,1,
1,1],[1,1,2,1,2,4,5,2,2,1,2,1,1,1,2,1,2,5,1,2,2,2,2,1,2,1,1,2,1,1,2,2,1,1,1,2,
1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,2,2,5,1,2,
2,1,2,2,1,2,2,1,5,1,2,2,1,2,2,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,1,4,5,2,2,2,2,1,1,1,2,2,2,2,4,2,2,2,2,
2,1,1,1,2,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1],[1,1,8,1,4,2,2,5,1,2,2,4,2,2,4,8,1,2,2,4,10,2,2,2,12,4,1,1,2,2,2,4,1,1,1,1,
2,1,1,1,1,1,1,1,2,1,2,1,1,4,2,2,1,1,4,2,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,3,
12,3,4,9,1,9,1,6,9,9,18,36,12,6,36,12,3,3,18,18,36,9,1,18,18,24,3,4,18,6,1,3,
3,1],[1,1,10,1,2,2,2,5,1,2,2,4,1,8,2,2,1,2,2,5,12,1,4,4,1,10,2,1,2,1,2,2,2,2,
1,4,1,1,4,1,2,1,1,1,1,1,1,2,1,1,2,1,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
1],[1,2,5,12,2,2,2,4,2,8,4,1,4,2,4,2,4,4,4,4,2,1,1,1,4,1,2,1,2,1,1],[1,3,3,12,
12,1,24,6,1,12,24,8,3,24,12,12,3,12,6,8,24,24,24,12,6,12,1,6,12,3,8,3,12,8,6,
6,3,12,4,1],[1,3,3,4,4,1,8,2,1,4,4,2,2,3,4,4,3,4,2,2,4,2,1,2,1,2,2,1,1,2,4,2,
1,2,1,2,1,1,1],[1,2,5,6,2,2,2,4,1,1,4,1,1,1,1,4,4,1,1,3,7,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,3,7,5,1,4,8,2,7,4,6,8,3,2,1,4,4,4,1,1,4,4,2,2,2,2,1,1],[1,3,3,4,4,1,8,2,1,4,
8,3,4,4,3,4,2,2,4,4,1,2,1,4,4,1,4,2,2,2,1,1],[1,3,3,1,1,4,2,2,3,4,3,4,4,1,2,2,
1,2,2,1,2,1,2,2,1],[1,2,1,12,4,4,2,2,2,2,8,4,1,4,2,1,2,4,4,2,1,4,4,4,4,1,2,1,
2,1,1,1],[1,3,6,2,5,3,1,3,3,1,6,2,2,3,3,6,3,2,2,6,2,2,2,2,2,1,1,1,2,2,6,1,1,3,
2,2,3,1,1,1,1,1,1,1,1],[1,1,4,3,2,2,3,1,2,1,1,1,3,3,2,2,2,6,2,1,2,1,1,1,1,2,1,
2,3,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,8,5,
4,2,2,4,4,12,4,1,8,2,2,4,2,1,4,2,1,4,1,4,2,4,2,2,1,2,2,2,4,4,1],[1,1,8,5,2,6,
1,8,1,2,2,2,2,4,2,8,1,2,2,4,2,4,2,4,4,8,3,2,1,1,4,1,1,4,2,2,4,2,1,4,2,2,1,2,1,
2,4,2,2,4,1,1,2,2,2,2,2,2,1,1],[1,3,3,8,1,1,4,4,4,3,8,4,3,8,4,4,2,2,1,2,2,2,2,
2,2,2,4,1,1,1,4,1],[1,4,3,1,3,3,2,2,2,1,1,3,2,2,1,1,1,1],[1,2,1,4,4,2,4,2,2,1,
8,4,1,4,1,1,4,1,2,1],[1,4,3,2,2,4,1,1,2,4,4,2,4,1,1,1,2,2,2,1,2,1,1,1,1],[1,3,
3,4,4,9,8,2,1,12,4,4,4,3,12,4,4,3,4,2,6,1,8,1,2,4,2,1,2,1,6,2,1,2,4,4,4,1,2,1,
4,2,1,2,2,1],[1,3,3,9,1,12,6,4,3,2,12,3,6,2,2,1,1,2,1,1,2,6,3,1,1,1,2,2,1],[1,
3,3,8,9,1,12,4,4,2,2,3,12,8,4,3,8,4,6,1,1,4,1,2,6,2,1,2,2,4,8,4,2,4,1,1,2,2,1,
4,1,2,2,1],[1,4,9,6,3,18,3,2,2,9,6,4,9,1,6,2,2,1,2,2,2,2,2,1,2,1,1,1,1,1],[1,
3,4,4,1,1,1,6,4,2,2,2,1,1,2,1,2,1,1,1,1],[1,4,3,8,8,8,2,1,4,1,3,3,8,4,8,6,3,6,
6,4,1,3,4,1,1,4,1,4,2,2,2,2,1,2,4,3,4,6,1,1,2,1,1,1,1,1,2,1,2,1,2,2,1],[1,4,3,
2,2,2,1,4,2,3,4,1,2,3,1,1,1,1,4,1,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,12,
8,1,8,4,3,3,1,4,8,8,6,3,6,2,2,3,1,4,1,1,4,1,2,4,2,2,2,1,2,4,3,2,6,1,1,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,3,3,9,1,9,1,2,6,9,9,6,3,6,6,9,6,6,1,3,3,3,2,1,6,3,1],[1,
6,3,2,4,4,1,4,1,1,1,4,6,3,4,3,4,1,4,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,6,2,2,7,4,1,
3,2,2,1,2,1,1,2,4,2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,2,2,4,1,1,4,2,2,
4,4,1,1,1,2,2,2,2,1,1,1,1,1],[1,4,3,2,10,6,1,2,2,3,2,5,6,8,3,8,1,2,1,4,2,2,2,
2,3,4,1,6,1,1,1,1,1,1,1,1,1,1],[1,2,3,4,12,2,8,1,2,4,4,8,4,1,2,1,3,4,8,4,2,1,
6,2,2,4,1,1,4,2,4,2,4,4,2,2,1,2,2,1,2,1,1,1,2,2,1,3,2,1,1,1,1,1,2,2,2,1,1,2,
1],[1,2,3,2,2,2,2,1,2,4,2,2,1,4,1,2,1,1,2,2,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1],[1,2,4,1,4,8,4,4,8,4,4,6,4,2,2,1,4,2,2,4,4,1,4,4,2,1,2,2,2,4,1,1,1,2,2,
1,1],[1,2,3,8,2,1,2,5,2,1,3,6,2,1,2,2,2,1,1,2,2,2,1,2,1,2,1,2,2,2,1,1,1,1,1,1,
1,1],[1,5,7,8,3,1,3,3,6,4,4,9,6,8,4,7,8,4,1,4,2,6,3,4,4,4,2,3,2,2,2,2,2,4,4,1,
1,2,2,2,1,2,2,2,1],[1,2,4,1,4,4,4,2,4,2,4,2,4,2,2,2,1,2,8,4,1,1,2,2,4,2,1,1,2,
2,1,2,1,2,2,1,2,2,2,2,2,2,1,2,1,2,1,2,2,1],[1,2,5,8,4,4,2,2,4,4,2,4,8,2,4,1,6,
4,4,4,4,4,2,2,1,4,1,4,1,2,1,1,1,2,1],[1,1,5,2,6,1,8,1,2,2,2,2,1,2,2,2,8,4,4,3,
1,4,1,2,2,4,1,2,2,2,2,2,2,1,1,1,4,1],[1,1,8,7,7,2,2,10,1,2,2,3,2,13,12,12,2,4,
2,4,2,6,1,4,1,4,2,1,4,1,2,1,1,6,2,1,2,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,2,5,4,2,4,
2,4,4,4,1,2,4,1,1,1,2,2,1,1,1,1],[1,1,8,5,1,2,2,2,1,3,1,2,4,4,2,4,1,1,4,1,2,2,
2,2,1,2,1,1,2,1,4,2,2,2,2,1,1,2,2,2,2,2,1,2,1],[1,2,4,1,8,2,4,2,4,2,1,4,4,2,2,
1,1,2,1,2,1,1,1,2,2,1],[1,1,8,1,2,2,1,1,2,4,8,2,1,2,2,4,4,4,4,4,1,2,1,2,1,1,2,
1,1,4,2,2,2,2,4,2,1,1,1,2,1],[1,3,3,4,12,1,8,2,1,4,4,2,3,2,12,4,4,3,8,4,6,2,2,
4,4,4,2,4,4,1,2,2,1,1,1,3,2,4,4,4,2,2,1,1,2,1,2,4,1],[1,3,1,2,6,3,1,1,3,6,6,3,
6,6,4,4,3,1,6,2,3,3,2,2,2,2,2,2,1,1,2,1,2,1],[1,2,1,2,6,4,2,4,5,3,2,3,2,2,1,2,
1,1,1,2,2,2,1,1,1,1,1,2,2,4,2,1,1,1,1,1,1,1,1],[1,2,4,5,2,4,4,6,6,1,1,1,2,2,2,
3,1,1,1,1],[1,3,3,4,4,1,8,2,1,4,8,3,4,4,3,4,2,2,4,4,1,2,1,4,1,4,4,2,1,4,1],[1,
2,4,5,2,4,4,6,6,1,1,1,2,2,2,3,1,1,1,1],[1,3,3,1,1,8,3,4,3,4,4,2,1,2,2,4,1,2,2,
2,1],[1,2,8,5,4,2,2,8,2,4,12,4,1,4,2,2,1,2,2,1,2,4,4,2,4,4,1,4,2,1,2,2,4,4,
1],[1,4,3,2,2,4,1,1,4,4,2,2,4,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,2,2,6,3,2,3,
2,2,2,1,1,1,2,3,2,2,1,1,1,1,1],[1,1,5,1,2,2,1,3,1,2,1,2,2,1,2,1,2,1,1,1,1],[1,
3,3,1,1,6,4,3,2,3,2,2,2,2,1,1,2,3,2,2,1,1,1,1],[1,4,3,8,1,1,1,2,2,8,4,2,2,2,2,
1,1,1,2,2,1,2,2,1,1,1],[1,2,1,4,4,4,2,2,4,1,8,2,1,1,4,4,1,1,2,1],[1,3,1,2,6,3,
1,1,3,6,6,2,3,6,6,6,3,1,6,2,3,3,3,6,6,6,3,1,3,1,2,3,3,6,1],[1,3,4,8,1,1,1,2,8,
2,4,2,2,2,2,1,1,2,1,2,1,2,2,1,1,1],[1,1,6,2,5,3,2,1,2,2,3,3,2,1,6,2,1,1,4,2,3,
2,4,2,2,2,2,2,1,2,2,1,2,1,2,2,2,2,1,1,1,4,2,1,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,
1,6,4,2,1,2,2,1,2,2,1,1,1,1,1],[1,3,12,1,4,2,6,3,1,1,3,6,6,12,12,4,24,3,6,6,6,
12,12,12,2,12,12,3,1,3,3,6,3,12,2,3,12,3,24,1,6,6,12,4,6,24,12,12,4,6,1,2,3,3,
12,1],[1,3,2,2,4,4,1,1,2,6,4,4,1,2,1,1,1,2,2,2,1,1,1,1],[1,2,9,2,6,4,6,4,2,12,
4,4,2,3,4,6,1,4,3,2,2,1,6,1,4,4,2,1,2,4,2,4,2,4,3,2,1,1,1,1,2,2,1,2,2,1,1,2,2,
2,1,2,1,1,2,1,1,1,1,1],[1,1,4,1,4,2,2,1,1,2,4,2,4,8,1,2,2,2,2,4,4,4,1,1,2,1,2,
1,1,2,2,1,2,2,2,4,4,2,1,1,1,2,1],[1,2,5,4,2,2,8,2,4,1,4,1,1,4,4,1,1,2,1],[1,3,
3,1,1,2,2,3,3,4,1,1,2,2,1,2,1,2,2,1],[1,1,4,1,4,6,6,1,4,1,6,4,6,2,4,8,1,6,2,2,
2,2,4,4,4,2,1,2,2,4,1,2,2,1,1,1,4,2,4,4,2,2,2,1,2,2,2,2,4,4,2,1,2,2,1,4,1,2,
1],[1,2,8,5,4,8,2,2,4,4,12,4,1,2,2,2,4,1,1,4,1,4,4,4,2,2,2,2,2,1,2,2,4,4,1],[
1,1,1,6,6,1,4,1,6,2,6,2,1,6,2,2,2,4,2,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,1,2,2,1,2,
1,2,1,1],[1,2,5,4,2,2,4,4,8,1,2,4,1,1,1,4,1,2,1],[1,1,1,2,2,1,1,2,2,2,1,2,2,2,
4,1,2,1,2,1,1,1,2,2,2,2,1,2,1,1,1,1],[1,4,3,2,10,6,1,4,2,3,5,6,8,3,8,1,2,1,4,
2,2,2,3,4,1,6,1,1,2,1,1,1,1,1,1,1,1],[1,2,4,1,8,2,4,2,4,2,1,4,4,2,2,1,2,2,1,1,
1,1,2,2,1,1],[1,1,1,2,2,1,1,2,2,1,2,2,4,4,1,2,1,2,1,1,2,1,2,2,2,2,1,1,1,1,1],[
1,1,1,8,1,4,1,1,1,4,4,4,2,2,2,2,2,1,2,1,1,2,1,2,1,1,1],[1,2,3,2,10,2,6,1,2,4,
4,4,2,2,1,5,2,4,1,8,1,1,4,2,4,2,2,1,2,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,1,7,
7,2,2,10,1,2,2,3,2,13,6,2,4,2,1,4,1,2,1,1,2,2,1,3,1,1,2,2,1,1,1],[1,3,3,8,1,1,
4,6,3,2,8,4,3,8,4,2,2,4,2,1,2,1,2,3,2,2,4,1,1,1,2,2,1],[1,3,3,1,1,2,2,3,3,4,1,
1,2,2,1,2,1,2,2,1],[1,1,1,1,4,1,1,1,4,2,2,2,2,1,1,1,1,1,1,1],[1,5,7,3,1,3,3,6,
2,2,2,9,6,2,7,1,2,2,2,6,3,3,1,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,1,3,3,1,
2,2,3,3,1,1,1,1],[1,2,1,4,8,4,2,4,2,2,2,2,4,4,1,4,4,1,2,4,4,4,4,2,1,1,4,4,2,1,
1,2,1,1],[1,2,5,4,2,2,2,4,8,1,4,1,1,4,4,1,1,2,1],[1,2,5,4,2,2,4,4,8,1,2,4,1,1,
1,4,1,2,1],[1,5,6,7,2,3,1,3,3,6,1,9,6,3,6,3,7,6,1,6,6,1,2,6,3,6,3,3,3,3,3,3,3,
1,2,3,3,3,1,1,1,3,3,3,3,1],[1,4,3,1,3,3,2,2,2,1,1,3,2,2,1,1,1,1],[1,2,4,5,2,4,
4,6,6,1,1,1,2,2,2,3,1,1,1,1],[1,2,4,5,4,4,2,2,2,8,4,4,6,2,1,6,2,1,2,4,1,2,2,1,
2,2,1,1,2,1,1,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,2,1,4,4,2,4,2,2,1,4,1,4,4,1,
1,1,2,1],[1,3,4,1,3,3,2,2,2,1,1,2,3,2,1,1,1,1],[1,6,3,2,4,4,1,1,1,1,4,6,3,4,3,
4,4,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,6,12,3,1,6,2,4,6,2,2,4,3,2,4,6,6,3,1,4,
2,1,2,2,1,2,2,1,1,1],[1,3,3,4,4,1,8,2,1,4,3,4,4,3,8,4,2,2,4,1,2,1,1,4,4,4,4,2,
1,2,2,1],[1,2,5,8,4,2,2,4,2,8,4,1,12,4,4,4,1,1,2,2,2,2,2,2,4,4,4,1,1,2,2,2,4,
4,1],[1,2,4,1,4,4,4,4,2,2,1,4,2,1,2,1,2,2,2,1,1,1,1,1],[1,3,4,2,2,4,1,1,4,4,2,
2,4,1,1,1,2,2,1,2,2,1,1,1,1],[1,3,3,4,4,1,8,2,1,4,3,4,4,3,8,4,2,2,4,1,2,1,1,4,
4,4,4,2,2,1,2,1],[1,2,1,4,4,4,2,2,4,1,2,1,4,1,4,1,2,1,1],[1,1,1,8,1,4,2,1,1,1,
4,2,4,2,2,2,1,2,2,1,1,2,1,2,2,1,1,1],[1,2,1,8,4,4,4,2,4,4,4,2,2,8,2,4,1,6,4,1,
4,4,4,2,2,4,1,1,4,4,2,1,2,1,1,1],[1,3,2,2,4,4,1,1,2,6,4,4,1,1,2,1,1,2,2,2,1,1,
1,1],[1,5,7,4,4,3,8,2,1,3,3,6,4,2,9,6,2,4,4,7,4,2,1,2,2,2,2,2,6,3,2,2,2,2,4,3,
2,1,1,1,2,1,4,2,2,2,2,1,1,2,1,1,1,2,1,1,1],[1,2,5,4,2,2,4,4,4,1,6,2,1,2,1,2,1,
2,1,1,1,1],[1,2,1,4,8,4,4,4,8,4,4,2,2,4,6,4,1,2,2,1,4,4,4,2,2,1,4,4,4,1,2,1,2,
1,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,
1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,3,3,2,2,3,2,2,1,3,1,3,1,3,1,1,1,1,1],[1,3,3,9,
2,2,9,1,3,1,6,3,6,1,3,3,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,1,2,1],[1,3,9,4,1,3,
4,1,2,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,3,4,9,1,3,4,
2,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,2,1,1],[1,9,
2,2,9,6,6,1,1,1],[1,1,18,2,2,9,2,2,12,12,1,6,6,1,2,1],[1,3,5,8,1,3,4,1,1,2,
1],[1,4,3,1,1,2,3,2,1,4,1,3,1,1,1,3,1,1,1,1],[1,3,4,1,8,1,3,4,2,1,1,1],[1,3,1,
4,8,1,3,4,1,2,1,1],[1,1,6,2,2,3,2,2,6,2,1,1,3,1,2,1],[1,3,1,4,8,1,3,4,2,1,1,
1],[1,6,9,2,2,9,6,2,6,6,1,6,1,2,1],[1,6,9,2,2,9,6,2,6,6,1,6,1,2,1],[1,15,2,2,
9,8,6,6,1,6,1,2,1],[1,4,3,12,4,1,6,3,6,6,3,6,4,8,6,1,6,3,3,4,1,3,2,1,1],[1,2,
1,6,18,1,6,2,9,6,6,1,6,3,2,1,6,2,6,6,3,3,1,2,2,2,2,3,2,1,1,3,1,1,2,2,1,1],[1,
9,6,16,3,18,3,2,9,9,6,8,12,1,1],[1,3,12,4,3,9,1,1,9,9,3,18,9,9,12,9,12,3,1,3,
3,1,3,1,3,18,9,4,9,3,3,3,3,3,3,3,1,3,3,1,3,3,3,1,1,3,3,3,3,1,1],[1,4,3,12,4,1,
6,3,6,6,3,6,4,8,6,1,6,3,3,4,1,3,1,2,1],[1,4,3,6,18,1,18,1,3,9,18,18,3,18,3,4,
3,6,2,1,6,9,9,18,6,6,6,3,3,6,1,1,3,3,2,3,1,6,3,1],[1,1,4,8,6,1,6,1,3,4,6,2,6,
3,4,1,2,2,2,6,3,6,3,1,1,1,2,2,1,2,2,4,3,1,2,1,2,1,1],[1,6,3,4,6,4,1,3,12,3,3,
6,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,4,3,4,1,2,1,3,2,3,4,4,3,4,2,1,1,1,2,
2,2,3,4,1,3,1,2,1,1,2,1,1],[1,6,9,4,2,6,18,9,12,6,9,1,4,1,3,1],[1,3,3,9,4,1,
12,4,3,12,3,12,6,1,1,1,6,1,4,1,1,1,1,1],[1,4,3,1,1,2,3,2,3,4,3,1,1,1,2,2,3,1,
3,1,1,1,1,1],[1,4,3,12,4,6,1,3,6,3,12,4,8,6,1,3,3,6,4,1,3,1,2,1],[1,3,3,9,16,
1,9,1,6,9,9,3,9,3,4,12,4,1,1],[1,2,5,1,2,4,4,1,2,5,1,2,4,4,2,1,1,2,1,1],[1,9,
6,16,3,18,3,2,9,9,6,8,12,1,1],[1,4,3,6,6,4,6,1,3,3,3,3,6,3,3,4,4,4,3,3,1,3,3,
3,3,4,1,3,1,1,1,1],[1,1,12,3,3,4,1,3,3,6,6,6,6,4,8,3,6,3,3,1,3,4,1,3,1,2,1],[
1,3,12,3,1,4,1,3,6,6,6,3,6,4,8,1,3,6,3,3,3,1,4,3,1,1,1,1],[1,2,1,6,6,1,6,3,5,
3,6,1,3,2,1,2,2,3,6,6,3,1,2,2,1,1,2,1,1,1,3,1,2,2,1,1,1],[1,2,1,16,12,1,12,2,
12,24,6,12,1,10,12,2,1,4,4,4,12,12,6,12,1,4,4,8,4,2,2,4,2,4,1,3,2,1,4,4,4,1],[
1,3,3,9,4,1,9,1,6,9,9,12,3,9,3,4,1,1,3,1],[1,12,3,4,4,1,3,6,6,12,3,4,8,3,3,3,
1,3,3,3,1,4,3,1,1,1,1],[1,3,6,3,6,1,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,2,5,4,1,2,2,4,1,6,2,4,5,2,1,1,1,2,2,6,4,2,1,1,1,1,2,2,1,1],[1,
3,10,6,4,3,1,3,3,12,9,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,3,9,4,1,9,1,6,9,
9,12,3,9,3,4,1,1,3,1],[1,6,3,6,4,4,1,6,3,6,3,12,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,
1,1],[1,4,3,12,4,1,6,3,12,3,6,4,8,6,1,6,3,3,4,1,3,1,2,1],[1,3,1,6,6,3,4,6,1,3,
6,3,3,3,3,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,3,11,9,1,1,4,6,9,9,4,6,3,3,
3,2,4,6,3,3,3,3,2,2,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,
3,4,1,3,1,1],[1,1,6,3,6,3,4,1,3,3,3,3,3,3,6,6,4,4,4,3,3,3,3,3,1,3,1,4,3,1,1,1,
1],[1,6,9,16,2,6,18,9,6,9,8,12,1,1],[1,4,3,4,1,6,6,3,3,4,1,3,3,4,1,3,1,1],[1,
3,1,2,6,3,4,1,1,3,6,6,3,6,6,3,4,8,1,6,2,3,3,4,1,1,1,2,1],[1,3,1,3,4,1,3,1,3,3,
4,1,3,3,4,1,1,1,1],[1,1,12,1,2,1,6,1,4,3,3,1,1,2,2,3,1,1,1,1],[1,6,9,1,2,6,18,
9,6,9,6,9,18,6,2,9,1,6,9,1],[1,3,7,9,4,1,6,3,3,6,3,3,3,3,4,4,4,3,3,3,3,3,3,1,
4,1,3,1,1,1,1],[1,3,6,1,2,3,4,1,3,3,3,6,6,1,6,6,8,4,1,6,3,3,2,4,1,1,2,1,1],[1,
1,8,3,3,4,1,3,3,12,12,4,4,8,2,6,6,1,1,4,1,1,2,1],[1,3,1,15,4,1,6,6,6,6,3,3,8,
4,6,3,1,3,6,4,1,3,2,1,1],[1,2,1,1,6,2,6,1,2,1,6,1,2,2,2,1,3,1,2,1],[1,2,1,1,9,
5,1,2,1,3,3,1,2,3,1,1,3,1,1,1,1],[1,2,5,6,6,1,6,2,6,4,3,6,1,3,2,5,2,2,6,6,3,3,
1,2,1,2,4,2,1,2,1,3,2,2,1,1,1,1],[1,4,3,6,6,4,6,1,3,3,3,3,6,3,3,4,4,4,3,3,1,3,
3,3,3,4,1,3,1,1,1,1],[1,1,8,6,1,6,1,2,3,6,6,3,1,2,2,2,3,3,1,1,1,2,2,1,2,2,3,1,
1,1,1],[1,4,3,1,1,9,3,3,3,4,3,1,9,9,3,3,1,1,3,3,1,3,3,1],[1,3,13,3,4,1,6,6,3,
3,6,6,8,4,6,6,3,1,3,4,1,3,2,1,1],[1,12,3,4,4,1,3,6,6,12,3,4,8,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,3,12,3,4,6,1,6,3,3,6,6,4,8,6,3,3,3,1,3,4,1,3,1,2,1],[1,1,3,
6,6,3,4,3,6,1,3,3,3,3,6,3,4,4,4,3,3,3,3,3,1,3,4,1,3,1,1,1,1],[1,4,3,6,6,1,6,1,
3,3,3,3,6,3,3,4,3,2,2,3,3,1,3,3,3,3,2,1,1,3,2,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,
3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,3,5,15,1,1,6,3,1,6,3,9,9,1,3,5,1,2,3,1,3,
3,3,3,3,2,3,2,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,4,3,4,3,4,1,3,3,6,6,12,4,4,
4,4,1,6,1,6,1,1,4,1,1,1,1,1],[1,6,9,16,2,6,18,9,6,9,8,12,1,1],[1,2,1,4,12,1,2,
3,3,6,6,1,6,4,2,1,4,4,3,6,6,3,1,2,2,2,2,1,1,4,1,3,1,2,2,1,1,1],[1,6,3,6,4,4,1,
6,3,6,3,12,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,4,1,6,3,6,3,4,1,3,3,1,4,
3,1,1],[1,2,1,4,1,2,12,1,4,2,1,4,6,1,2,4,4,1,3,1,2,1],[1,2,5,12,1,2,3,4,3,6,6,
1,6,2,5,4,3,6,6,3,1,2,2,2,1,4,2,1,1,3,2,2,1,1,1,1],[1,2,1,4,1,2,2,1,2,2,4,1,2,
1,1,2,1,2,2,2,1,1,1,1,2,2,1,1],[1,6,9,4,2,6,18,9,12,6,9,1,4,1,3,1],[1,1,2,5,
15,1,6,6,1,4,6,3,3,3,6,1,1,2,5,1,2,3,3,3,3,3,3,1,2,2,1,2,1,1,1,1,2,1,1,3,1,1,
1,1,1,1,1,1],[1,10,3,6,4,12,1,3,9,3,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,3,
1,3,4,1,3,1,3,3,4,1,3,3,4,1,1,1,1],[1,2,1,4,4,1,2,2,4,1,2,4,2,4,1,4,1,1,1,2,2,
2,2,2,4,1,4,1,1,2,2,1,1,1],[1,2,1,24,1,2,12,12,1,12,2,1,8,12,6,1,2,4,4,4,1,3,
4,1,2,1],[1,2,5,1,2,4,4,1,2,5,1,2,4,4,2,1,1,1,2,1],[1,2,1,1,2,1,2,1,6,1,2,1,3,
1,2,1],[1,1,2,11,9,1,6,3,1,1,6,3,3,6,4,6,1,2,3,3,2,3,3,3,3,3,3,1,2,1,2,2,1,1,
1,1,2,1,1,3,1,1,1,1,1,1,1,1],[1,9,6,4,3,18,3,2,9,12,9,6,1,4,1,3,1],[1,4,3,12,
1,1,6,3,6,6,3,6,4,3,4,6,1,6,3,3,2,2,2,2,3,1,3,3,2,2,1,1,1,1],[1,4,5,6,4,1,9,6,
6,4,6,3,4,8,2,3,6,1,3,4,1,1,2,1,1],[1,4,3,2,6,4,6,1,3,3,6,6,3,6,1,4,8,1,2,3,3,
6,1,4,1,1,2,1],[1,2,5,4,1,2,2,2,4,1,4,2,5,4,1,1,4,1,2,2,4,2,4,1,1,4,1,1,1,1],[
1,5,7,3,4,1,3,3,6,9,6,7,8,4,1,2,6,3,3,1,4,1,1,2,1],[1,6,6,3,3,1,4,3,3,3,3,6,6,
6,1,4,4,4,3,3,3,3,3,1,3,1,4,3,1,1,1,1],[1,1,4,12,1,1,6,2,4,1,4,3,3,1,1,2,2,3,
1,1,1,1],[1,3,6,2,1,1,1,1,1,4,7,6,3,2,1,1,1,1,1,1,1,1,1,1,7,1,4,1,1,1,1,1,1,1,
1,1],[1,12,3,3,1,4,3,3,6,1,3,6,3,6,4,8,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,3,16,1,
3,3,3,4,1,1],[1,2,1,12,1,6,2,6,6,1,6,2,1,4,3,3,1,2,2,2,2,2,1,3,1,1,1,1],[1,3,
2,2,1,1,1,3,1,1,2,3,2,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1],[1,3,1,12,3,
4,1,3,6,6,3,6,6,4,8,1,6,3,3,6,4,1,3,1,2,1],[1,4,3,6,6,4,1,3,3,12,6,3,3,4,4,4,
1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,10,3,6,4,1,3,9,3,12,3,4,4,4,1,3,3,3,3,3,3,4,1,
3,1,1,1,1],[1,3,6,2,1,3,4,1,3,3,1,6,3,3,6,3,6,8,4,1,6,3,2,3,1,4,1,2,1,1],[1,2,
1,4,1,2,1,12,4,2,1,4,1,6,4,2,4,1,3,1,2,1],[1,10,3,6,4,3,1,12,3,9,3,4,4,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,3,6,6,16,12,3,1,6,2,6,3,2,6,6,3,4,8,8,1,1],[1,2,1,
6,6,1,6,6,2,3,6,1,3,2,1,2,2,3,3,1,2,2,1,2,2,1,1,3,1,1,1,1],[1,9,3,1,9,9,9,3,3,
1,9,3,1,1],[1,9,3,6,4,6,9,6,3,4,6,6,1,6,1,1],[1,3,3,6,4,6,1,3,3,3,4,6,1,2,1,3,
1,1],[1,3,12,3,4,8,9,1,12,4,8,2,4,2,2,16,3,12,8,6,4,20,6,3,4,8,8,2,20,4,4,6,4,
2,4,1,4,4,2,2,4,1,8,4,1,2,2,4,2,3,2,6,1,2,2,2,3,2,4,1,1,2,2,2,4,6,1,2,4,8,4,1,
1,1,8,2,2,2,4,2,8,2,4,4,4,8,2,4,1,2,6,2,4,2,4,2,1,3,2,2,4,2,1,1,4,2,1,4,4,4,4,
2,2,2,2,2,1,2,4,1,2,2,2,4,2,4,1,2,2,1,2,2,2,2,2,1,2,1,2,2,2,2,2,2,1,2,2,2,1,2,
2,4,1,2,2,4,2,2,2,2,2,2,4,2,2,2,1,2,2,1,2,1,2,2,2,1,2,2,1,1,2,1,2,2,1,2,2,1],[
1,2,9,8,4,4,2,4,2,12,2,4,4,2,8,4,6,4,8,1,12,4,4,4,4,2,4,4,4,1,1,2,2,2,2,4,4,2,
2,2,4,4,4,1,8,8,1,2,4,2,2,4,2,2,1,2,1,4,4,2,1,1,1,2,1],[1,3,7,16,5,1,4,8,8,2,
6,2,6,7,4,2,6,16,8,3,16,8,2,1,4,2,8,2,4,8,8,4,4,8,2,2,1,1,4,1,2,3,2,4,3,4,2,8,
4,4,4,2,2,4,1,2,4,2,1,1,2,1,2,2,2,2,4,2,2,1,4,2,1,2,4,2,4,2,4,1,1,1,1,1,1,1,
1],[1,1,8,5,6,10,1,12,1,2,2,6,2,4,2,8,6,2,2,1,2,2,6,2,2,4,2,4,2,4,4,8,4,4,2,3,
2,4,2,2,1,2,1,4,2,2,4,2,2,2,1,2,1,1,2,2,2,1,1,4,2,2,1,4,2,1,4,2,2,2,2,1,2,2,2,
2,2,2,1,2,2,2,4,2,2,4,2,2,4,4,2,2,1,1,2,4,1,2,1,2,2,2,1,2,2,2,4,2,1,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1],[1,3,8,3,4,4,1,8,2,1,4,4,8,8,3,4,4,4,4,4,3,4,4,8,4,
2,2,1,1,2,4,4,1,4,2,2,2,1,1,4,4,2,1,4,4,4,4,2,4,4,2,4,2,2,1,2,1,1,2,2,2,2,1,2,
1,1,2,1,1,2,2,2,2,1,1,1,2,1],[1,1,4,5,4,8,1,2,2,4,4,1,3,1,2,4,2,4,4,2,4,4,1,2,
2,4,4,2,2,1,2,2,2,1,2,2,1,2,1,2,2,1,1,2,4,2,2,2,4,2,1,2,1,1,2,1,2,2,2,2,2,1,2,
2,1,2,2,1,1,1,1,1,1,1,1,1],[1,3,3,12,12,9,24,6,1,12,12,24,8,4,12,3,12,24,12,
12,3,12,6,8,6,24,1,24,24,24,12,1,6,12,6,1,6,12,3,6,6,8,3,6,12,12,8,12,6,6,3,6,
1,12,6,3,6,6,12,12,4,4,4,1,3,3,1],[1,2,5,4,8,2,2,2,2,4,2,4,4,8,1,4,8,4,2,4,4,
4,4,4,2,1,1,4,4,4,1,1,1,2,2,1,2,2,1,1,1,1],[1,2,9,4,4,4,2,12,2,2,4,6,4,4,4,1,
8,2,4,4,4,2,4,4,4,1,2,1,1,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,12,7,4,4,12,3,24,2,
1,3,3,6,12,12,12,2,12,4,24,9,6,12,12,6,12,12,6,7,12,12,24,2,12,12,4,6,1,3,3,2,
6,3,12,24,3,12,4,6,12,12,3,12,6,6,6,6,3,24,3,1,6,6,3,6,6,12,12,6,6,1,24,6,1,6,
6,2,12,6,4,6,2,24,6,12,6,6,6,3,12,4,3,3,3,4,6,2,6,6,1,3,2,1,3,2,3,12,6,6,6,6,
6,3,6,3,6,6,3,3,6,3,6,6,6,3,6,6,12,3,6,2,1,6,3,6,3,3,3,1,1,2,1],[1,3,12,3,4,4,
4,9,8,2,1,12,4,4,2,12,4,4,4,8,3,12,4,4,6,20,6,3,4,4,2,20,4,4,2,6,4,3,1,4,1,4,
4,8,1,4,1,8,2,4,2,1,4,2,2,2,3,1,1,4,6,2,4,2,2,1,2,2,4,4,6,2,4,2,4,1,2,2,2,4,6,
1,2,2,4,2,8,4,4,2,2,4,2,4,2,4,2,4,2,2,1,4,2,4,1,1,2,1,2,2,4,4,2,2,2,2,2,1,1,4,
3,2,2,4,2,2,2,2,1,4,4,2,2,4,2,2,2,1,2,2,2,2,1,2,2,1,2,4,2,2,2,2,4,2,2,2,2,4,1,
1,2,2,4,1,2,2,2,1,2,2,2,2,1,2,2,1,2,1,1,2,1,1,2,2,2,1,2,2,2,2,2,1,2,1],[1,1,4,
5,4,6,10,1,12,1,2,2,6,2,4,6,2,2,4,8,1,2,2,6,2,2,2,2,4,8,2,4,4,4,4,2,3,2,2,4,1,
2,1,2,2,4,2,2,2,1,2,1,2,2,2,1,1,2,2,1,2,2,4,1,4,2,2,2,4,4,1,2,2,2,2,2,2,1,2,2,
2,4,2,2,2,2,4,2,4,1,4,2,2,2,1,1,2,1,2,2,2,2,1,2,1,1,2,2,4,2,4,2,1,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,9,27,27,3,27,81,162,18,36,81,54,162,27,162,27,81,324,18,
162,27,216,81,27,27,27,162,54,36,162,54,27,27,3,81,162,18,81,27,27,9,1],[1,3,
1,6,10,3,4,1,1,3,10,6,2,6,2,2,3,2,6,2,6,6,6,4,4,2,3,2,1,2,2,2,2,2,2,6,2,2,1,2,
1,2,2,3,1,1,3,3,2,6,6,6,3,2,2,2,2,2,2,2,1,2,2,2,2,3,1,1,2,2,1,2,1,1,2,2,2,1,2,
2,1,3,2,1,2,1,2,3,6,1,1,1,1,1,1,1,1],[1,1,8,5,8,1,2,2,4,2,4,1,3,1,2,4,4,4,2,4,
4,1,2,2,4,4,2,2,1,4,1,2,2,2,2,2,1,2,1,2,1,2,1,4,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,
2,2,1,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,7,15,4,12,9,24,2,2,9,18,36,12,12,6,6,27,
24,2,18,12,12,12,15,24,4,6,18,6,6,9,2,36,6,8,6,36,18,12,24,6,12,6,6,4,6,12,12,
6,9,9,6,6,24,1,1,6,3,2,3,6,12,12,6,6,12,6,4,12,12,6,3,6,6,6,3,3,6,6,6,3,2,6,6,
6,6,2,6,6,1,3,3,9,6,6,3,1,12,6,9,6,1,1,3,3,2,6,2,1,3,6,3,1],[1,3,7,4,12,5,8,2,
1,4,8,4,4,2,6,8,7,4,2,6,12,4,4,3,8,4,6,2,1,4,2,8,2,4,4,4,4,4,4,2,4,4,4,2,1,1,
2,2,1,1,2,3,4,3,4,2,4,4,4,4,4,2,4,4,2,2,4,2,1,2,1,1,2,2,2,4,1,4,2,2,2,1,2,4,2,
4,2,4,1,1,1,1,1,1,1,1],[1,1,14,7,2,2,6,7,8,1,2,2,10,2,2,8,1,3,8,2,1,3,8,3,2,
13,2,15,2,22,5,6,8,8,1,10,2,3,2,4,2,2,2,2,8,1,3,1,2,4,1,5,3,4,1,2,4,1,4,1,1,4,
2,2,6,3,1,4,1,1,4,1,2,2,3,1,2,3,4,1,3,1,1,1,2,3,3,1,3,3,1,2,1,1,4,5,3,1,7,3,4,
1,1,1,4,1,2,3,1,4,2,3,4,3,4,1,2,5,1,1,3,2,2,1,2,1,2,1,2,1,2,1,1,1,1,1,1,1,2,1,
3,1,1,3,1,1,2,1,1,1,3,1,1,2,2,1,2,1,1,1,2,1,1,1,2,3,1,1,1,1,1,2,3,1,2,3,1,3,1,
1,2,2,2,1,2,1,3,1,2,1,1,2,3,2,1,1,1,2,1,2,3,2,1,1,2,1,1,2,2,2,3,1,1,1,1,1,1,1,
2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,11,8,15,
1,3,27,30,4,2,6,12,2,2,21,10,2,42,8,4,7,8,4,6,5,4,15,36,2,2,2,18,3,24,3,8,4,3,
4,4,2,1,3,2,1,2,30,3,2,1,2,2,4,4,8,4,8,6,2,4,1,4,6,2,1,1,1,1,2,2,2,2,4,3,2,2,
4,3,1,2,1,12,1,1,2,2,2,2,2,3,2,2,2,4,2,2,1,2,1,2,1,1,1,1,1,1],[1,2,8,9,4,4,4,
2,12,2,4,4,2,4,6,4,4,12,8,1,8,2,4,4,2,4,2,4,4,4,2,1,4,4,2,2,1,4,1,2,4,2,4,4,2,
4,4,4,1,2,2,2,2,2,2,1,1,1,1,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,3,4,3,4,4,4,1,8,2,1,
4,2,4,4,4,8,3,4,4,4,2,2,3,2,8,4,4,4,2,1,4,4,4,8,2,4,1,4,2,2,1,1,2,2,2,1,2,4,2,
4,4,1,2,1,4,2,2,2,2,2,4,2,2,4,4,4,2,4,2,1,1,2,1,2,2,2,4,1,1,2,1,2,4,1,1,1,2,2,
1,1],[1,2,9,4,16,4,12,4,2,12,8,8,2,8,4,6,2,4,6,6,4,4,10,4,4,1,12,2,2,4,4,4,4,
4,2,2,4,4,4,4,8,4,8,4,4,8,4,4,6,8,2,2,2,1,4,2,4,2,1,1,4,4,2,6,4,4,2,1,4,2,4,1,
2,4,2,2,2,2,2,1,2,1,1,4,2,4,1,4,4,2,2,2,2,4,1,1,2,1,2,1,2,2,2,2,1],[1,3,7,8,5,
1,4,8,4,2,12,4,7,4,4,6,8,4,3,8,4,2,1,4,4,4,4,4,4,4,2,4,1,1,2,2,4,6,2,2,2,2,4,
4,4,2,4,2,2,2,1,1,2,2,2,2,2,2,2,2,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,8,5,4,8,2,2,
8,2,2,4,2,4,12,4,4,1,4,4,2,2,2,4,4,4,4,4,4,2,1,2,2,1,2,4,4,2,4,4,1,4,2,1,2,1,
2,4,2,1,2,4,2,4,4,1,1,2,2,1,1],[1,3,16,7,4,4,5,8,2,1,4,8,4,8,2,16,2,2,7,4,6,4,
4,24,24,8,3,8,8,4,2,2,1,4,4,4,4,2,12,4,4,4,2,2,4,1,1,8,2,4,4,2,4,1,4,4,1,8,1,
4,2,4,8,2,4,4,4,4,2,2,2,8,12,4,2,4,8,4,2,1,4,8,4,2,2,1,4,2,2,1,4,4,2,4,4,2,4,
4,2,4,2,4,8,4,1,1,4,1,4,4,2,1,8,2,2,4,4,1,4,4,2,4,2,2,4,2,2,4,4,4,2,4,4,4,2,4,
4,2,2,2,4,2,1,4,1,2,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,16,2,2,7,4,6,4,4,3,4,2,2,
1,4,4,4,4,2,4,8,1,1,2,1,8,8,1,1,2,4,4,4,2,2,1,4,2,4,2,2,2,2,2,2,2,1,1,2,1,2,2,
2,4,1,1,1,1,1,1,1,1],[1,2,9,4,4,2,4,2,12,2,4,2,4,6,4,1,8,4,4,4,2,4,4,4,1,1,2,
4,4,4,1,1,2,1,2,1,2,2,1,1,1,1],[1,2,9,8,12,4,12,2,4,2,12,8,8,2,4,10,2,4,6,2,4,
8,6,4,4,1,12,6,4,4,4,4,4,2,2,4,4,4,4,8,8,8,4,8,4,6,4,2,2,2,1,4,4,4,1,4,2,2,4,
4,6,2,4,4,4,1,2,4,4,2,2,2,1,4,1,1,2,2,2,4,2,1,1,2,2,1,4,2,1,2,2,2,4,4,4,2,1,2,
1,2,2,1,2,2,1],[1,2,8,1,4,8,4,4,4,4,8,4,4,2,2,4,6,4,4,8,4,1,4,8,2,2,1,4,2,4,1,
2,4,4,4,1,2,2,2,1,2,2,1,4,4,4,2,4,4,2,2,4,1,4,1,4,2,2,1,2,1,1,2,2,2,1,2,2,2,2,
2,1,2,2,1,1,1,1,1,1,1,1],[1,2,5,8,4,4,2,2,4,4,2,4,8,2,4,8,1,6,4,4,4,4,4,4,2,2,
1,4,1,4,4,1,2,1,1,2,1,2,2,1,1,1,1],[1,5,7,4,12,3,24,2,1,3,3,6,12,12,8,8,9,6,
12,12,12,7,24,4,6,1,2,6,3,12,24,4,6,12,12,4,4,3,6,6,24,1,4,4,4,3,4,6,12,12,4,
2,3,2,2,2,2,6,1,4,3,12,4,4,8,1,2,1,2,1,1],[1,8,3,12,4,1,8,2,3,3,6,4,8,2,12,6,
2,2,2,6,6,2,2,2,1,3,2,2,1,2,1,1,6,1,2,2,3,6,2,2,2,2,3,1,1,2,2,2,2,2,1,1,1,2,2,
2,2,3,1,1,1,1,1,1,1,1],[1,7,15,9,2,9,18,36,6,6,2,6,27,24,2,18,15,18,6,9,36,6,
8,6,36,18,6,6,9,9,1,6,3,6,3,6,6,6,1,3,1,3,3,2,6,6,2,3,6,1,3,9,3,3,6,9,6,1,3,1,
1,3,3,3,1],[1,3,8,3,4,4,1,8,2,1,4,4,8,8,3,4,4,4,4,4,3,4,4,8,4,2,2,1,1,2,4,4,1,
4,2,2,2,1,1,4,2,1,4,4,4,4,4,2,4,4,2,4,2,2,1,1,1,2,2,2,2,1,1,2,1,2,1,1,2,4,2,1,
2,1,2,1,1],[1,3,12,7,4,8,5,1,4,8,4,8,2,2,4,16,7,4,6,8,18,4,12,6,3,4,8,8,6,12,
4,4,2,1,4,2,3,2,6,2,8,4,6,2,2,2,4,2,1,1,2,2,4,2,4,2,4,2,2,2,6,4,2,4,2,1,4,6,2,
4,4,3,1,4,2,2,2,8,4,6,6,2,2,2,4,4,4,2,8,4,2,2,2,2,4,2,2,2,2,2,2,1,1,2,3,2,2,1,
2,2,1,1,1,2,2,2,4,4,2,1,4,4,4,2,4,2,2,4,2,4,4,2,2,2,2,2,2,2,2,2,1,2,2,2,2,1,1,
2,2,2,2,4,2,2,2,2,4,1,2,4,2,2,2,2,1,2,2,2,2,2,2,2,2,1,2,2,2,2,1,1,2,2,1,1,2,
1],[1,5,7,4,12,3,24,2,1,3,3,6,12,12,9,6,12,12,12,7,24,8,8,4,6,1,2,6,3,12,24,4,
6,12,12,3,6,6,24,1,3,6,12,12,4,4,4,4,4,4,4,3,2,6,2,2,2,4,1,3,2,4,12,2,8,2,1,2,
2,1,1,1],[1,5,7,4,4,3,8,2,1,3,3,6,4,6,2,10,9,6,2,4,4,7,4,2,1,2,2,2,2,2,6,3,2,
2,2,2,4,8,2,3,2,1,1,2,3,8,2,1,5,6,4,2,2,6,1,2,1,2,2,1,4,2,2,1,2,1,1,2,1,3,2,1,
1,6,2,4,1,1,1,1,1,1,1,1],[1,5,7,4,20,3,24,2,1,3,3,6,12,16,6,2,2,9,6,2,20,12,
16,7,32,4,10,1,4,2,2,2,6,3,8,8,12,24,4,4,4,4,4,4,6,12,16,2,3,6,8,24,1,1,2,3,5,
1,8,2,12,16,4,4,2,1,2,4,2,2,1,1,1,4,2,2,2,2,2,2,2,2,2,6,2,1,1,2,1,3,1,1,12,2,
2,4,4,4,2,1,2,1,1,2,1,1,2,2,1,1,1],[1,3,7,5,1,4,8,2,10,2,6,7,4,6,6,3,2,1,4,6,
6,4,2,2,1,1,3,2,5,2,3,2,2,2,1,1,3,1,2,1,1,2,1,2,2,2,2,1,4,2,1,1,1,1,1,1,1,1],[
1,2,5,4,8,2,2,8,2,2,4,2,4,4,1,4,8,4,2,4,4,4,4,4,2,1,1,4,4,4,1,1,1,2,2,1,2,2,1,
1,1,1],[1,2,8,5,4,8,4,8,2,8,4,4,2,4,4,6,4,12,4,1,8,2,2,8,4,2,2,4,4,4,4,4,2,2,
1,1,4,1,4,4,4,4,2,2,2,8,2,2,1,1,2,2,2,1,4,4,2,4,4,2,1,1,2,1,2,1],[1,2,8,5,12,
2,2,2,4,2,8,12,4,4,1,8,4,2,2,4,2,4,4,4,2,4,4,2,1,4,2,1,4,1,4,2,4,2,2,4,1,2,2,
2,2,1,2,4,4,4,4,2,1,2,1,2,1,1,1],[1,2,8,5,12,8,2,2,2,4,2,8,12,4,4,1,4,2,2,2,4,
2,4,4,4,4,4,2,1,1,4,1,4,4,4,2,2,2,4,2,2,1,2,2,2,1,2,4,4,4,4,2,1,1,2,1,1,2,1],[
1,3,4,3,4,12,12,1,24,6,1,12,2,4,24,8,4,8,3,24,12,12,2,2,3,2,4,8,4,12,6,8,24,8,
1,24,24,12,6,12,1,6,12,2,1,3,8,8,2,3,2,8,8,12,2,4,4,1,2,1,4,2,2,2,2,2,8,4,2,2,
4,6,6,4,2,1,1,2,2,3,2,4,4,2,2,1,8,4,12,1,2,1,4,4,4,1,1,2,2,2,1,2,2,2,1,1],[1,
7,4,15,4,9,2,9,18,36,6,6,27,24,18,6,6,15,6,12,4,18,6,9,36,1,6,8,36,6,18,6,6,9,
9,6,6,6,3,6,3,1,6,6,6,6,6,3,6,6,3,6,3,3,3,6,3,6,1,9,6,9,1,6,3,3,3,3,1,1,1,3,
1],[1,7,8,15,9,2,9,18,36,6,27,24,18,12,12,12,15,4,18,6,9,36,6,2,6,8,36,18,9,9,
6,12,12,6,6,6,6,6,6,6,6,6,6,3,6,6,6,3,6,1,9,6,9,1,3,6,3,2,3,1,3,3,1],[1,3,3,8,
9,1,12,4,12,4,2,2,3,4,12,8,4,3,8,4,6,4,4,1,1,4,4,1,2,2,4,6,6,2,1,2,2,4,8,4,2,
4,1,2,2,1,4,4,2,2,1,4,1,2,4,2,2,4,4,2,1,1,2,1,2,1],[1,3,15,8,13,9,12,48,4,6,4,
8,4,15,12,4,42,8,4,3,8,4,30,3,36,4,8,4,12,4,32,12,8,4,8,4,2,3,1,2,2,12,2,2,2,
2,2,4,8,4,8,6,4,4,2,8,12,4,2,1,1,1,1,4,4,6,6,4,4,4,2,3,2,4,4,2,1,2,1,1,2,4,2,
1],[1,3,8,7,8,4,4,5,8,2,1,4,8,4,2,4,8,2,2,8,16,7,4,6,4,4,12,4,3,12,24,8,4,2,2,
1,4,2,2,4,4,4,12,4,4,4,4,2,4,1,1,2,4,2,2,1,4,2,4,4,2,1,4,4,2,1,2,2,4,4,2,2,4,
2,4,4,2,12,4,2,4,4,4,4,4,2,1,8,4,4,4,4,8,1,4,2,1,2,4,2,4,2,4,4,2,2,4,4,2,4,2,
4,4,4,4,4,2,1,4,1,1,4,4,4,4,2,4,4,1,4,2,1,2,4,2,4,4,4,2,4,4,2,4,2,2,2,2,2,2,4,
4,4,2,1,4,2,1,2,1,1],[1,3,15,4,4,13,8,2,9,12,48,4,6,8,8,2,2,15,12,42,4,4,3,4,
2,30,3,36,4,12,4,32,12,4,8,8,4,2,4,4,3,1,2,1,4,12,4,1,1,2,4,8,4,8,6,4,2,1,4,1,
12,8,2,4,1,4,4,2,4,4,1,6,6,1,1,4,1,3,2,4,4,2,1,1,2,2,2,1,2,2,1],[1,2,5,8,4,8,
2,2,4,2,2,8,4,2,4,4,1,4,12,4,4,2,4,4,4,4,4,4,4,2,1,1,2,2,2,2,2,2,4,4,4,1,1,2,
1,2,2,2,1,2,4,2,4,4,4,1,1,2,2,1,1],[1,5,7,8,3,1,3,3,6,4,14,4,9,6,2,8,4,7,8,4,
1,4,6,2,6,6,3,4,4,4,2,10,3,2,1,10,7,2,2,2,2,4,4,5,3,1,1,6,2,2,2,2,2,2,1,2,2,2,
2,2,4,1,1,1,1,1,1,1,1],[1,2,8,5,8,4,4,2,2,8,4,4,2,4,8,2,4,12,4,1,8,6,4,4,2,2,
4,4,4,2,2,1,4,2,2,1,2,4,8,8,4,4,2,4,4,1,4,2,2,1,1,2,1,2,4,2,4,2,4,4,1,2,2,1,1,
1],[1,5,12,11,4,15,1,3,27,30,2,2,12,21,10,42,18,36,6,7,12,6,36,12,6,5,15,36,6,
3,18,2,2,18,3,18,24,3,6,6,3,36,1,3,6,30,6,6,6,1,6,3,1,18,18,6,2,24,6,4,6,6,6,
6,6,6,3,6,3,6,6,3,1,3,6,6,4,6,3,3,2,6,1,18,12,6,6,6,6,6,6,6,6,2,3,3,3,6,6,3,6,
3,2,1,6,6,3,3,3,1,1,3,2,1],[1,5,11,4,4,15,8,2,1,3,27,30,4,2,6,12,4,21,10,2,42,
4,4,7,4,2,6,5,2,15,2,36,2,2,2,18,3,24,3,8,6,4,2,3,2,2,4,2,2,1,3,2,1,1,2,30,3,
2,2,1,2,4,6,2,4,4,6,4,6,4,1,2,2,2,1,1,3,2,4,3,2,4,2,1,1,2,1,12,2,2,2,2,1,1,2,
2,3,2,2,4,2,2,2,1,1,1,2,2,1,1,1,1,1],[1,2,8,9,4,4,4,2,12,8,2,4,4,2,4,6,4,4,12,
8,1,2,4,4,2,2,4,2,4,4,4,1,4,2,1,4,1,4,2,4,4,4,2,2,4,4,4,2,2,1,2,2,2,2,2,2,1,1,
1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,6,9,4,2,2,6,2,18,4,9,8,4,4,6,4,9,1,2,4,4,4,1,
1,2,1,1,2,2,2,1,1,1,1],[1,6,9,4,2,6,4,2,18,4,9,8,2,4,4,6,4,4,9,2,1,1,4,1,1,1,
2,2,2,2,1,1,1,1],[1,5,7,3,1,3,3,6,4,6,10,9,6,4,7,1,4,2,4,6,3,6,3,2,2,6,5,10,
10,3,2,2,3,2,2,1,2,5,2,2,6,4,2,1,1,1,2,2,1],[1,3,3,4,12,9,8,2,1,12,4,4,6,4,2,
6,3,2,12,12,4,4,3,8,4,6,6,2,2,1,8,4,4,4,1,2,4,4,2,2,1,2,2,1,1,2,6,3,2,3,3,2,2,
4,4,8,8,4,2,8,1,2,2,2,1,1,1,1,2,2,2,2,2,1,4,4,2,1,1,2,2,2,2,4,2,4,4,1,1,1,1,1,
1,1,1],[1,3,3,4,4,9,8,2,1,12,4,12,4,4,3,4,12,4,4,3,4,2,6,4,4,1,8,4,8,1,2,4,2,
4,1,4,2,1,2,4,6,6,2,1,2,4,4,4,4,4,2,2,1,2,2,2,1,4,2,1,2,4,4,2,4,1,1,1,2,2,1],[
1,4,5,4,16,6,12,1,9,6,4,4,8,4,8,2,6,4,4,6,4,10,8,8,3,12,2,2,2,5,3,1,6,4,2,1,4,
3,4,4,2,4,1,2,2,2,4,6,2,4,5,3,2,4,4,4,2,8,1,2,1,1,1,2,2,5,7,4,10,6,1,1,1,1,2,
1,2,2,1,4,1,4,3,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,4,2,2,1,1,2,1,1,2,2,1,1,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,7,12,12,5,24,6,1,4,8,12,2,24,8,8,2,2,7,4,
6,24,12,12,3,12,6,8,2,1,4,24,4,4,4,24,24,8,8,12,6,12,4,1,1,6,12,3,4,4,8,3,1,2,
12,8,4,8,2,4,8,2,1,1,8,4,6,2,4,1,6,4,4,2,4,2,4,3,1,1,4,1,1,12,4,4,2,2,1,1,2,1,
2,2,2,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,4,2,10,7,4,4,6,4,4,3,4,2,2,1,4,4,4,4,4,4,
4,8,2,4,4,1,1,4,2,1,2,2,4,1,5,2,4,4,2,4,2,1,4,1,4,1,2,2,4,4,1,1,1,4,1,4,1,4,4,
2,1,1,1,2,1],[1,3,4,7,4,5,1,4,8,2,2,8,7,4,6,6,10,3,6,12,4,2,1,4,4,1,2,4,6,2,2,
4,1,1,2,4,4,2,4,2,1,2,5,1,6,2,2,2,2,2,1,2,2,1,2,2,1,1,2,2,2,1,1,2,2,1,1,1,1,1,
1,2,1],[1,3,7,4,12,5,8,2,1,4,8,4,4,2,10,7,4,6,6,12,4,4,3,8,4,6,2,1,4,6,6,4,4,
8,4,4,4,4,8,4,2,4,4,2,1,1,4,2,2,1,3,2,5,3,2,4,4,4,4,8,2,4,2,4,4,4,4,2,2,1,2,3,
1,2,2,2,2,1,2,1,2,1,2,2,2,2,2,4,1,4,4,1,1,1,2,1,2,2,1,2,1,1,1],[1,2,5,8,4,4,2,
2,8,4,4,2,4,8,2,4,1,6,4,4,4,4,4,4,2,2,1,4,1,4,4,1,2,1,1,1,2,2,2,1,1,1,1],[1,3,
8,3,1,1,6,6,3,4,4,4,3,4,4,1,2,2,2,3,2,6,4,1,2,1,1,1,2,6,3,2,4,2,1,2,1,1,2,3,2,
2,2,1,2,4,2,1,1,1,1,2,1,2,1],[1,2,8,5,4,8,4,2,8,4,4,2,4,4,6,4,12,4,1,8,8,2,2,
4,2,4,8,4,4,4,4,2,2,2,1,4,2,1,4,1,4,2,4,4,2,2,8,1,1,2,2,2,2,1,2,4,4,4,4,2,2,1,
1,2,1,1],[1,2,4,9,4,4,4,4,2,12,2,6,2,8,4,6,4,4,4,6,6,1,6,2,4,4,1,2,4,2,4,4,4,
1,4,2,2,2,1,2,2,1,3,2,4,3,1,2,2,2,2,2,4,4,2,1,1,4,2,1,1,2,1,2,2,1,2,2,2,1,2,2,
2,1,1,1,1,1,1,1,1],[1,4,3,4,6,6,4,12,3,1,6,2,6,4,6,6,2,4,4,2,4,8,4,3,2,2,4,1,
2,4,6,6,6,1,3,1,4,3,2,2,2,2,2,2,1,2,2,2,6,2,2,2,1,4,2,1,1,3,2,2,2,2,2,2,1,2,2,
3,2,1,1,1,1,1,1,1,1,1,1],[1,2,4,9,4,4,4,4,2,12,2,2,4,2,8,4,6,4,4,6,10,1,6,2,4,
4,1,2,4,2,4,4,1,2,2,2,1,2,2,1,1,2,5,1,2,4,4,2,2,2,2,4,4,4,2,1,1,2,2,2,1,2,2,2,
1,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,3,4,12,4,1,3,3,8,6,2,4,12,2,8,6,2,2,6,
6,2,2,1,3,2,1,1,6,1,1,2,2,2,2,3,6,2,2,2,2,2,2,3,1,1,2,2,2,2,2,1,2,2,1,2,1,3,2,
1,1,1,1,1,1,1,1],[1,5,7,12,20,3,40,6,1,3,3,6,20,12,24,8,4,9,6,4,24,20,20,12,7,
24,12,10,8,1,4,4,24,4,2,4,6,3,24,24,12,24,4,8,8,12,8,4,8,4,4,4,10,20,12,3,4,
10,6,12,24,3,2,2,8,4,5,6,20,12,4,4,8,8,4,4,4,4,4,6,4,4,2,3,6,4,2,2,6,4,1,2,8,
5,4,8,4,4,2,2,12,8,4,4,4,8,8,12,8,4,8,4,1,4,1,4,4,1,4,4,4,2,2,1],[1,6,9,4,16,
12,2,6,8,4,10,2,18,2,4,10,12,12,9,12,2,2,10,2,4,4,6,6,4,4,6,12,4,4,4,4,4,6,4,
6,6,6,9,4,12,2,1,1,8,2,2,1,2,1,2,2,2,1,1,1,6,6,2,6,1,2,2,4,2,6,4,4,4,1,2,1,2,
1,2,1,2,2,2,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,2,2,7,4,6,4,4,16,3,4,2,2,1,4,8,4,4,
4,2,4,1,1,2,1,8,1,1,2,4,8,4,2,4,2,1,1,1,4,4,4,4,4,1,1,1,1,1,1,2,1,2,1,1],[1,2,
5,8,8,4,4,2,2,4,4,4,2,8,4,8,2,4,1,12,8,6,4,4,8,4,4,4,4,4,2,2,1,4,1,8,2,2,2,4,
2,2,2,4,4,4,1,2,1,1,2,2,1,2,2,4,4,2,4,4,1,2,2,1,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,
2,2,2,7,4,6,4,4,3,4,2,2,1,4,4,4,4,8,2,4,1,1,2,1,1,1,2,4,4,2,4,2,1,1,1,4,4,4,1,
1,4,1,1,1,4,2,1,2,2,1],[1,5,11,15,1,3,27,30,2,12,12,21,10,4,42,7,6,5,15,36,12,
2,12,18,3,24,3,3,12,1,3,2,12,30,6,6,6,6,6,12,1,4,3,3,4,1,12,6,2,3,6,2,3,1,3,6,
1],[1,5,7,3,1,3,3,6,2,6,9,6,7,1,2,6,3,4,4,6,3,6,3,6,6,1,3,2,2,2,1,3,2,2,2,6,2,
1,2,1,1,2,1],[1,8,3,12,4,1,2,3,3,6,4,8,2,8,12,6,2,1,2,6,6,2,2,2,2,3,2,1,2,1,2,
6,6,1,1,2,2,3,2,2,2,2,3,1,1,2,2,2,2,1,1,2,2,1,2,2,3,2,1,1,1,1,1,1,1,1],[1,5,
11,15,1,3,27,30,2,4,12,21,10,42,12,7,6,5,15,36,12,2,18,3,24,3,12,3,1,3,30,12,
12,2,6,6,6,6,6,3,4,3,6,1,4,1,12,2,3,12,6,3,1,3,2,6,1],[1,5,7,16,3,1,3,3,6,8,8,
2,6,9,6,16,8,7,16,8,1,8,2,6,3,8,8,8,8,8,6,4,3,4,4,4,6,4,3,4,6,8,8,6,1,2,2,3,2,
2,4,2,4,4,1,4,3,6,4,4,4,4,8,4,1,4,1,4,1,2,2,1],[1,3,8,3,16,1,1,8,2,2,3,16,4,8,
4,4,3,4,16,8,8,8,4,8,1,4,2,2,2,4,1,2,4,2,8,4,1,2,1,1,1,2,2,1,2,4,2,1,2,2,1,2,
2,1,2,1,4,2,2,4,4,4,1,2,2,1,1,4,4,2,2,2,1,1,2,2,1,2,2,1],[1,5,7,3,1,3,3,6,12,
2,6,9,6,4,7,1,8,2,8,6,3,2,8,3,2,8,6,2,3,2,2,1,4,1,4,1,6,2,2,1,1,3,1,2,1,2,4,1,
1,1,1,1,1,1,1],[1,2,4,9,4,4,4,4,2,12,2,2,4,2,8,4,6,4,4,6,10,1,6,2,4,4,1,2,4,2,
4,4,1,2,2,2,1,2,2,1,1,2,5,1,2,4,2,2,2,2,4,4,4,4,2,1,1,2,2,2,2,1,2,2,2,1,2,2,2,
1,2,2,2,1,1,1,1,1,1,1,1],[1,2,5,4,8,2,6,8,4,4,2,4,2,10,1,8,4,1,4,2,4,4,4,4,1,
4,2,1,4,4,2,1,1,2,1,2,2,1,1,1,1],[1,3,3,4,4,9,8,2,1,12,4,4,4,3,12,4,4,3,8,8,4,
2,6,1,8,1,2,4,2,1,2,1,6,2,1,2,4,4,4,4,4,4,4,4,4,1,2,1,2,2,2,4,2,1,2,2,2,2,2,1,
2,1,1,2,1],[1,4,5,8,12,6,12,2,1,9,6,4,4,4,8,2,6,4,4,6,8,6,8,8,3,12,6,4,2,3,3,
3,6,4,2,1,4,3,4,4,4,2,4,3,2,6,6,2,2,4,3,1,2,4,4,4,2,4,8,1,1,2,1,3,1,2,2,7,5,
10,2,1,1,1,2,1,2,1,4,4,3,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,2,1,1,1,2,2,1,
2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,8,9,1,12,4,4,2,2,3,12,8,4,
3,8,4,6,1,4,4,1,4,1,2,6,2,1,2,2,4,8,4,2,4,1,1,2,2,1,2,2,4,1,2,2,2,2,2,2,1,2,2,
1,1,1],[1,5,7,4,4,3,8,2,1,3,3,6,4,10,2,2,9,6,6,4,4,7,4,2,1,2,2,10,2,10,6,3,2,
4,8,2,2,2,4,6,3,4,2,1,3,6,5,2,1,1,2,4,2,2,2,1,4,4,2,3,2,2,1,5,2,6,2,1,2,2,1,1,
1,1,1,1,2,2,2,1,1,1,4,2,1,2,1,2,1,1,2,2,1,1,1,1],[1,5,7,4,12,3,8,2,1,3,3,6,4,
4,12,9,6,4,12,4,4,7,8,4,6,1,6,2,8,2,8,6,3,2,4,4,4,4,6,2,2,4,4,8,3,2,2,1,2,8,6,
2,3,2,4,4,2,2,4,4,2,2,4,2,2,4,1,6,2,2,2,2,2,2,2,1,2,2,2,2,1,3,1,2,2,1,1,2,2,4,
2,1,2,2,2,1,2,1,1,1,1,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,8,6,6,7,4,6,4,4,3,4,2,2,
1,4,4,4,4,2,4,4,1,1,2,1,4,4,1,3,6,4,4,2,4,6,3,1,4,2,1,4,4,4,4,1,3,1,1,1,4,4,4,
1,1,1,2,2,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,2,2,7,4,6,4,4,3,16,4,2,2,1,4,4,4,4,2,
4,1,1,2,1,1,1,2,4,8,8,4,8,2,4,2,1,1,1,4,4,4,1,1,4,1,1,1,4,2,1,2,2,1],[1,3,8,3,
1,1,4,2,2,3,4,4,4,4,3,4,4,4,4,1,2,2,2,2,2,1,2,2,4,1,2,1,1,1,2,2,1,2,4,2,1,2,2,
1,1,2,1,2,2,2,1,2,2,1,1,2,2,2,1,2,1,1,1],[1,2,8,1,4,8,4,2,4,8,2,2,2,2,4,4,4,8,
4,1,4,4,1,2,2,2,2,4,4,4,4,4,2,2,1,1,2,4,1,2,4,1,1,1,4,4,2,2,1,2,1,2,1,2,2,2,1,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1],[1,5,12,7,4,3,1,3,3,6,2,2,6,9,6,6,12,6,7,
12,2,12,12,1,2,6,3,2,12,6,3,6,3,6,6,1,6,6,6,3,1,3,6,6,6,3,6,3,3,3,6,6,6,2,6,4,
6,1,6,6,6,6,3,3,1,3,2,3,3,6,2,3,1,3,2,6,6,6,6,3,6,6,6,3,6,6,3,6,6,3,3,6,6,6,6,
6,3,6,6,3,3,1,1,3,6,2,1,3,2,1],[1,3,4,3,4,4,4,1,8,2,1,4,2,4,8,4,8,3,4,4,2,2,3,
2,8,4,4,4,2,1,2,4,4,1,2,2,1,1,4,2,1,2,4,4,2,4,4,1,2,1,4,2,2,2,2,2,4,2,2,4,2,2,
1,1,2,1,2,2,2,1,1,4,2,1,2,1,1,2,1,1,2,1],[1,4,3,4,12,4,1,3,3,8,6,2,4,12,2,8,6,
2,1,2,6,6,2,2,3,2,1,1,1,2,6,6,1,2,2,2,2,3,2,2,2,2,2,2,3,2,1,1,2,2,2,2,2,1,2,1,
2,1,3,1,1,1,1,1,1,1,1],[1,2,8,9,4,4,2,4,2,12,2,8,4,2,4,6,4,12,12,1,4,4,4,2,2,
2,4,4,1,2,2,1,2,2,4,4,4,6,4,4,4,4,1,4,4,4,2,1,2,4,2,2,2,2,1,4,2,1,4,2,1,1,1,1,
1,1,1,1],[1,6,8,9,4,2,6,4,2,18,4,12,12,9,8,2,4,2,4,6,2,4,9,4,2,2,1,12,1,12,2,
4,6,2,1,2,6,2,6,1,1,2,2,4,4,1,2,1,2,1,1],[1,3,8,15,13,9,12,48,6,4,8,15,12,42,
12,12,8,3,4,30,3,36,2,2,6,12,4,32,12,8,4,4,3,1,8,12,4,2,4,2,4,4,6,6,6,6,6,6,4,
12,2,6,4,4,2,3,1,2,4,1,1,4,6,6,4,2,4,3,1,3,2,2,2,1,1,1,1,1,4,2,2,1],[1,3,3,9,
1,12,18,4,3,6,12,3,6,6,6,1,1,6,1,3,6,6,9,3,3,6,1,6,6,6,1,3,3,1],[1,3,7,4,20,5,
8,2,1,4,8,4,8,2,4,2,2,7,4,4,6,20,4,8,3,16,4,10,2,1,4,4,4,4,4,4,8,8,8,8,8,8,8,
2,4,8,1,1,2,4,1,2,2,5,1,4,2,4,8,8,4,8,2,4,8,2,1,4,1,8,4,4,1,2,2,2,4,4,2,4,4,1,
1,1,2,4,4,1,1,8,4,4,4,2,2,2,1,1,2,1,2,2,2,1],[1,5,11,4,12,15,24,2,1,3,27,30,
12,12,2,12,2,6,21,10,42,12,12,12,7,24,4,6,6,5,15,36,12,2,18,3,24,3,12,12,24,3,
4,6,12,12,6,1,3,6,6,24,1,30,6,3,3,6,6,12,12,12,12,6,4,6,12,1,4,3,6,1,3,3,2,12,
6,6,6,2,4,6,3,12,12,12,12,6,1,3,12,3,12,3,12,6,3,2,3,6,1,4,1,1,3,3,12,3,3,1],[
1,3,7,4,4,5,8,2,1,4,8,4,2,8,2,2,7,4,6,4,4,8,3,4,2,2,1,4,4,4,4,8,2,4,1,1,2,1,8,
1,1,4,2,4,4,4,2,4,2,1,1,1,4,4,2,4,2,1,1,1,1,1,4,2,1,2,1,1,1],[1,3,18,3,6,2,6,
9,1,1,9,6,6,12,1,1,12,6,1,3,4,24,9,9,6,21,6,42,3,18,12,7,42,18,3,3,3,3,3,18,1,
3,18,3,3,6,1,3,42,2,3,3,12,3,9,1,6,3,3,3,3,3,3,3,3,3,3,1,3,3,3,24,3,3,1,21,21,
3,24,3,1,3,12,3,6,6,3,1,24,3,12,3,3,3,12,3,3,3,1,4,6,3,1,3,3,3,3,3,3,3,3,1,3,
18,3,3,3,3,3,7,3,3,6,3,3,3,3,3,3,1,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,12,3,1,1,
3,3,3,1,3,3,3,1,1,3,1,3,1,1],[1,2,8,9,4,4,2,4,2,12,2,8,8,4,2,4,6,4,12,4,1,4,4,
4,2,2,2,4,8,4,1,8,2,2,1,2,2,4,4,4,4,2,4,4,1,4,2,1,2,4,4,2,2,1,2,4,2,1,4,2,1,2,
1,1,1],[1,8,3,6,6,4,12,3,1,2,4,6,2,6,6,6,4,8,2,4,4,4,3,2,1,2,4,2,6,6,6,1,2,1,
3,2,2,3,4,4,2,2,2,6,1,2,2,2,2,2,2,1,4,2,3,1,1,2,2,2,2,2,2,2,2,1,1,3,1,2,1,1,1,
1,1,1,1,1],[1,2,5,12,2,2,2,4,2,8,4,8,1,4,8,2,4,2,4,4,4,4,2,1,1,1,4,4,4,1,2,1,
2,2,2,1,1,1,1,1],[1,6,9,8,12,12,2,2,6,4,6,2,18,6,8,6,12,12,9,12,6,4,6,6,4,6,6,
4,4,6,12,8,4,4,4,4,6,4,6,6,6,9,4,12,1,2,4,4,1,2,2,2,2,1,2,1,1,2,2,1,1,6,6,2,6,
1,4,1,6,2,4,2,4,4,1,2,2,2,1,2,2,2,1,1],[1,3,1,8,3,1,3,4,2,4,1,3,3,4,6,4,1,4,2,
2,2,2,3,3,6,2,6,6,1,3,2,3,3,4,1,2,2,1,1,2,2,2,3,2,1,2,6,3,1,1,1,1,1,1,1,1,1],[
1,3,12,1,4,8,3,1,3,4,4,1,3,3,4,6,12,12,4,2,12,12,1,4,2,2,2,2,12,3,2,1,6,3,3,2,
3,3,4,6,6,4,1,3,3,1,1,2,6,2,2,2,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,3,4,3,4,16,1,1,
8,2,2,2,3,16,2,8,2,3,16,2,4,4,8,8,8,2,4,8,1,4,2,1,2,1,2,2,1,4,1,1,4,2,8,2,2,2,
2,2,2,1,2,2,1,2,1,2,2,2,2,1,1,2,2,4,4,1,1,2,4,4,4,4,2,2,1,1,2,2,1,2,2,2,1,2,
1],[1,3,8,7,5,1,4,8,2,4,7,4,4,6,12,12,12,3,4,2,1,4,6,2,6,4,4,4,1,1,2,2,6,4,4,
6,6,2,2,2,2,2,2,2,2,2,1,2,1,2,1,3,2,2,1,1,1,2,1,1,1,1,1,2,1],[1,8,3,6,6,4,12,
3,1,4,2,4,6,2,6,6,6,4,8,2,4,4,3,2,4,1,1,2,1,2,6,6,6,2,3,2,1,2,3,2,4,4,2,2,2,1,
2,2,2,6,4,2,2,2,1,1,3,2,2,2,2,2,2,2,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,3,8,3,1,1,
8,2,2,3,4,4,4,3,4,4,4,1,2,4,4,2,2,1,2,2,4,1,2,1,1,1,2,2,1,2,4,2,1,2,2,1,1,2,1,
2,2,2,1,2,2,1,1,4,1,1,2,1,2,1],[1,7,15,8,9,2,9,18,36,4,6,8,4,27,24,18,8,4,15,
8,4,18,6,8,9,36,8,8,36,18,8,8,4,2,4,9,9,2,4,4,2,2,2,2,4,4,8,6,4,2,2,1,1,4,4,6,
2,4,4,6,1,4,4,9,4,4,9,2,2,4,4,4,1,2,1,1,2,2,2,1],[1,1,10,7,6,2,6,7,8,1,2,2,10,
2,2,4,1,1,4,2,1,3,4,16,3,2,13,2,9,2,10,7,2,4,8,7,22,6,3,2,4,4,1,1,1,2,1,3,1,8,
4,1,1,3,4,1,1,2,1,4,1,1,2,2,2,3,2,4,2,2,2,1,2,1,4,1,3,1,3,2,3,1,1,1,3,3,2,1,3,
3,1,2,2,4,1,3,1,7,1,3,4,1,1,5,5,4,3,1,4,2,3,4,4,3,4,5,6,1,2,4,1,1,1,3,2,2,2,1,
2,2,2,1,1,1,1,1,3,1,1,1,1,1,2,2,1,3,1,1,1,1,2,1,3,1,1,1,2,2,1,2,2,1,1,2,3,1,2,
1,1,2,2,3,1,1,1,3,1,1,1,1,1,2,1,3,2,2,2,1,3,2,1,3,1,1,1,1,1,1,2,1,1,2,1,3,1,1,
2,3,2,1,1,2,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,1],[1,2,5,4,8,6,8,4,4,2,4,2,10,4,1,8,2,1,4,2,4,4,4,4,2,1,4,4,4,1,2,
1,2,1,1,2,2,1,1,1,1],[1,7,15,4,4,9,8,2,2,9,18,36,4,6,4,2,2,27,24,4,18,4,4,15,
4,2,18,6,4,9,4,36,4,4,8,4,36,18,4,4,4,4,2,4,9,9,2,1,2,2,4,1,1,2,4,4,4,4,6,4,2,
1,1,4,1,4,2,2,4,1,2,6,1,4,4,2,6,1,2,2,1,9,1,1,4,2,2,2,2,1,9,2,1,1,2,1,1,1,1,1,
2,2,1],[1,6,8,9,4,2,8,6,4,2,18,4,12,12,9,2,4,2,2,4,6,4,9,2,1,12,1,4,12,4,6,2,
2,2,2,1,2,6,6,1,1,2,2,4,4,1,2,2,1,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,2,2,7,4,6,4,
4,3,4,2,2,1,4,4,4,4,8,2,4,1,1,2,1,1,1,2,4,4,2,4,2,1,1,1,4,4,4,1,1,4,1,4,1,1,2,
1,2,2,1],[1,6,8,9,4,2,2,6,8,2,18,4,12,12,9,4,4,2,2,6,9,2,2,1,2,2,4,12,12,6,4,
4,1,4,2,1,2,6,6,1,2,4,1,2,4,1,2,1,1,2,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,2,2,7,4,6,
4,4,3,16,4,2,2,1,4,4,4,4,2,4,1,1,2,1,1,1,2,4,8,8,4,8,2,4,2,1,1,1,4,4,4,4,1,1,
1,1,4,1,2,1,2,2,1],[1,3,4,3,4,1,1,2,6,6,3,2,2,3,2,4,4,2,4,1,2,1,2,1,2,2,1,1,3,
6,2,2,2,2,2,6,3,2,2,1,1,2,2,1,3,2,1,1,2,4,2,2,2,1,1,1,2,1,2,1],[1,2,8,9,4,4,4,
2,12,2,2,4,6,4,4,4,12,12,1,8,2,4,4,2,4,2,4,2,4,1,4,2,2,1,4,1,4,2,4,4,6,2,8,8,
1,2,2,2,4,4,2,1,1,2,2,4,4,2,1,1,1,2,1],[1,3,4,3,4,1,1,2,8,2,2,3,2,2,3,2,4,4,2,
4,4,1,2,1,2,4,4,1,2,2,1,1,1,2,2,2,2,2,2,2,1,2,2,1,2,1,2,2,1,1,2,1,1,2,2,2,2,1,
4,1,1,2,2,1,1],[1,2,8,9,4,4,4,2,12,8,2,2,4,6,4,4,4,12,12,1,2,4,4,2,2,4,2,4,4,
1,2,1,4,1,4,4,4,4,6,2,2,8,8,2,2,1,2,2,4,2,1,1,4,2,2,4,4,2,1,1,1,2,1],[1,2,4,1,
4,12,4,4,2,2,2,8,2,2,8,2,4,2,1,4,2,8,2,1,2,2,2,4,2,4,4,2,2,1,1,1,1,2,1,2,4,4,
4,2,2,2,4,1,2,2,2,1,2,1,2,1,2,2,2,2,1,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,
3,4,4,1,8,2,1,4,4,8,4,3,4,4,4,4,4,4,3,4,4,8,4,2,2,1,4,4,1,4,8,2,4,1,4,4,2,2,2,
1,1,2,2,2,1,4,4,4,4,2,4,4,2,4,2,2,1,4,4,1,1,2,4,2,2,2,1,1,2,4,1,2,1,1,2,4,2,1,
1,2,2,1,1],[1,3,3,24,9,1,12,12,4,6,6,3,12,24,12,3,24,12,6,1,24,24,1,12,1,6,6,
6,3,6,6,12,24,12,6,12,3,3,6,6,6,6,1,12,3,6,4,6,12,12,4,4,1,3,3,1],[1,3,4,15,4,
13,9,12,48,6,2,8,15,12,42,6,10,3,6,12,4,30,3,36,4,1,2,12,4,6,32,12,2,2,4,3,1,
2,12,2,4,2,1,2,5,1,6,4,2,6,4,4,4,10,10,4,12,1,2,4,6,1,2,2,2,1,5,4,2,6,6,2,4,4,
4,3,1,2,2,1,2,1,1,1,2,1,2,1,2,2,1],[1,4,3,4,6,6,4,12,3,1,4,6,2,6,4,6,6,2,4,2,
4,8,4,3,2,4,2,4,1,2,6,6,6,1,3,1,1,4,3,2,2,2,2,6,2,2,1,2,2,2,4,2,2,2,2,3,1,1,2,
2,2,2,2,2,2,2,1,2,3,1,1,1,1,1,1,1,1,1,1],[1,3,4,7,4,5,1,4,8,2,6,4,7,4,4,6,6,6,
3,6,12,4,2,1,4,1,4,2,4,4,6,2,6,1,1,2,2,2,6,2,3,2,3,1,6,2,2,2,2,2,1,2,2,1,2,1,
1,1,1,1,1,2,2,1,1,2,3,1,1,1,1,1,1,1,1],[1,2,5,12,2,2,2,4,2,8,4,8,1,4,8,2,4,2,
4,4,4,4,2,1,1,1,4,4,4,1,2,1,2,2,2,1,1,1,1,1],[1,2,5,4,8,4,2,8,4,4,2,4,4,6,4,8,
1,2,2,4,4,4,4,4,4,4,2,2,1,1,1,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,12,1,4,6,10,3,4,1,
1,3,10,6,12,12,6,2,2,4,24,3,2,6,2,6,6,6,12,12,12,2,4,12,4,12,2,3,2,1,2,4,2,2,
4,3,3,2,4,2,2,6,2,2,1,2,3,1,2,12,2,3,1,12,1,4,2,4,4,3,2,2,2,2,2,2,2,24,1,2,2,
6,6,12,4,6,2,24,2,4,12,4,12,2,2,4,2,6,1,1,2,1,2,1,4,1,2,2,2,2,3,2,2,1,2,2,2,1,
3,4,1,2,1,2,2,12,2,2,1,2,1,2,2,1,1,2,1,1,1,1],[1,3,6,3,2,2,6,9,1,1,9,6,6,1,3,
6,1,3,9,9,6,3,6,6,9,6,1,6,6,3,3,6,1,3,3,3,6,1,6,6,2,3,3,3,3,3,3,6,9,9,9,3,6,1,
3,3,1,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,1,3,3,2,3,1,3,3,3,3,3,3,3,1,3,3,3,3,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,1,3,3,3,3,3,3,1,3,3,3,3,6,3,3,3,3,3,6,3,3,
3,3,6,1,1,1,3,1,3,3,3,1,3,3,3,3,1,1,1],[1,2,4,1,4,8,4,4,4,2,4,2,4,4,4,2,4,2,8,
2,4,2,2,1,2,8,8,6,4,1,4,4,1,2,2,4,4,2,2,2,4,1,1,2,4,2,1,4,4,2,4,4,1,2,2,4,1,2,
2,2,2,2,2,1,2,2,1,1,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,3,4,4,4,1,8,
2,1,4,2,4,8,4,8,3,4,4,2,2,3,2,4,8,4,4,2,1,2,4,4,1,2,2,1,1,4,4,2,1,2,4,2,4,4,1,
2,1,4,2,2,2,2,2,4,2,2,4,2,2,2,2,1,1,2,2,1,2,2,2,1,1,2,1,1,1,2,2,1,1,1],[1,6,9,
8,4,2,2,6,12,2,8,18,4,9,12,4,4,12,6,4,9,1,2,2,4,2,6,2,2,2,12,4,4,1,1,2,2,6,1,
2,6,1,2,4,4,1,2,2,1,1,1],[1,6,4,9,4,4,2,6,6,4,2,8,18,4,6,6,9,6,2,4,1,6,4,6,4,
9,2,2,2,1,6,2,1,3,6,3,1,2,6,2,2,2,2,1,3,3,3,2,2,1,3,2,2,2,1,2,2,2,1,1,1,1,1,1,
1,1],[1,3,4,3,4,1,1,2,4,2,2,3,4,2,2,3,2,4,4,4,4,2,4,1,2,1,2,2,2,1,2,2,1,1,1,2,
2,2,2,2,2,2,1,2,2,1,2,1,2,2,1,1,2,2,2,1,1,2,2,2,1,2,1,2,2,1,1,1],[1,2,5,4,8,4,
2,8,4,4,2,4,4,6,4,8,1,2,2,4,4,4,4,4,4,4,2,2,1,1,1,4,1,1,2,2,1,2,2,1,1,1,1],[1,
3,7,8,5,1,4,8,4,2,4,4,7,4,6,8,4,12,3,8,4,2,1,4,4,8,4,4,4,2,1,1,2,2,4,4,2,2,2,
2,4,6,4,2,4,2,1,1,2,2,3,2,4,1,4,1,2,2,1,1,1,2,1,1,1],[1,3,8,7,5,1,4,8,2,4,8,7,
4,6,12,12,8,3,4,2,1,4,2,2,6,4,4,4,1,1,4,4,4,2,4,2,4,4,6,2,2,2,2,2,2,2,2,2,1,1,
2,2,1,1,2,1,1,2,1,2,2,1,1,2,1,1,1,1],[1,3,8,3,12,12,1,24,6,1,12,4,8,24,8,3,24,
12,12,4,4,4,3,4,4,8,12,6,8,8,24,2,1,8,24,24,12,1,6,12,1,4,6,12,2,2,1,3,8,2,3,
12,4,4,4,2,4,4,2,4,8,8,2,2,1,8,6,1,1,6,2,2,3,8,2,4,1,4,4,4,4,1,2,12,1,1,2,2,4,
2,4,2,1,2,2,2,2,1,2,1,1],[1,6,15,2,2,9,9,9,6,2,8,6,6,9,1,6,6,1,2,2,1,1,1,1],[
1,1,6,18,2,2,3,9,3,2,2,12,2,6,12,9,1,6,3,6,1,1,3,1,2,2,3,3,1,1,1,1],[1,3,6,1,
4,8,3,1,3,3,6,4,3,4,3,3,1,2,1,4,3,1,1,1],[1,1,9,9,2,2,6,9,2,2,6,6,6,6,9,1,6,6,
6,2,1,1,1,6,1,2,1],[1,1,21,9,2,2,18,9,6,18,2,2,6,10,12,6,6,9,1,12,12,6,2,6,6,
1,1,1,4,6,2,1,2,2,1],[1,3,6,1,4,8,1,3,3,4,6,3,3,4,3,3,1,2,1,4,3,1,1,1],[1,3,
18,5,8,1,9,9,3,18,24,9,4,3,3,1,1,2,4,3,6,3,1,1],[1,6,6,9,2,2,9,9,9,6,2,6,2,6,
6,9,1,6,6,1,2,2,1,1,1,1],[1,3,6,1,4,8,1,3,3,3,6,4,3,4,3,2,3,1,1,4,1,3,1,1],[1,
3,9,27,2,2,1,27,27,6,6,18,6,18,6,9,1,18,18,18,18,2,2,3,3,1,6,6,3,1,3,1],[1,4,
3,5,8,1,3,3,8,8,3,1,4,3,1,1,2,3,4,2,1,1,1,1],[1,6,15,2,2,9,9,9,2,6,8,6,6,9,1,
6,6,2,1,2,1,1,1,1],[1,1,9,9,2,2,9,18,2,2,6,6,6,6,9,1,6,6,1,1,1,1,2,1],[1,1,9,
3,18,2,2,9,18,9,3,9,3,2,2,1,9,3,12,3,12,9,1,6,1,6,6,6,6,6,3,1,3,1,1,2,3,3,3,1,
2,1,1,1,1,1],[1,6,6,9,2,2,9,9,9,6,2,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,3,9,4,
1,8,1,9,9,3,12,3,1,3,4,2,3,1,3,1,4,3,1,1,1],[1,3,9,3,2,2,1,9,9,6,6,1,9,3,3,3,
1,3,2,2,9,3,9,3,1,3,1,3,3,1,3,1],[1,3,9,3,9,4,1,9,9,3,12,1,3,3,4,1,3,2,1,3,4,
1,3,1,1],[1,9,3,3,4,9,1,9,9,1,12,3,3,3,4,2,3,1,1,3,4,1,3,1,1],[1,3,4,1,4,8,1,
6,8,4,3,4,1,4,6,1,2,1,4,1,2,1,1,1],[1,3,9,3,4,1,8,1,9,9,3,1,3,12,3,4,2,3,1,1,
3,4,3,1,1,1],[1,3,3,9,5,8,1,9,9,3,3,1,12,3,4,3,3,1,1,2,4,1,3,1,1],[1,3,18,5,8,
1,9,9,3,18,24,9,4,3,1,3,1,2,4,6,3,3,1,1],[1,3,3,1,4,1,8,1,3,3,3,8,3,4,1,1,4,2,
1,1,3,3,4,1,1,2,1,1],[1,3,6,2,2,1,3,3,6,6,2,6,3,1,3,1,1,3,2,2,3,2,1,3,1,1,1,
1],[1,3,6,5,8,1,3,3,3,4,6,3,4,3,1,3,1,2,4,3,1,1,1],[1,1,9,9,2,2,9,18,2,2,6,6,
6,6,9,1,6,6,1,1,1,1,2,1],[1,1,6,6,9,9,2,2,9,9,18,9,6,2,2,2,6,2,6,6,6,6,6,9,1,
6,6,6,6,6,6,6,2,1,2,1,1,2,6,1,2,2,1,1,1],[1,1,12,9,9,2,2,9,18,9,6,9,2,2,12,4,
6,6,6,6,9,1,6,2,6,6,6,12,6,1,1,1,4,6,1,1,2,2,1,1],[1,3,6,4,9,3,3,4,6,6,1,1,2,
1],[1,2,5,8,4,1,2,2,4,2,8,4,1,12,4,2,8,5,4,4,4,1,1,2,2,2,2,2,2,4,4,4,1,2,2,4,
12,4,2,4,1,8,1,2,2,2,4,4,2,2,2,2,4,2,4,4,4,4,2,1,1,1,1,2,2,2,1,4,4,1],[1,6,9,
4,16,2,6,6,18,9,6,16,6,6,9,3,1,6,8,12,3,3,1,4,1,1,1],[1,3,15,13,16,9,12,48,6,
8,15,12,42,3,16,30,3,36,12,4,32,12,4,3,1,12,6,8,12,4,12,6,6,3,4,4,8,4,1,1,1],[
1,2,5,4,1,2,6,4,4,1,6,2,4,5,2,1,2,3,1,2,4,6,6,4,2,1,1,1,1,1,3,2,2,1,2,1,1,1,1,
1],[1,1,14,3,6,12,3,4,6,12,1,3,6,24,3,3,15,6,12,3,4,12,3,6,6,6,4,4,8,4,8,2,3,
6,3,6,3,3,3,3,6,3,3,3,3,3,3,3,3,3,12,6,3,6,1,6,12,3,3,6,4,4,4,8,1,4,4,3,3,3,3,
3,6,3,3,3,1,3,3,3,3,1,2,1,4,1,2,3,1,1,1,1,2,1,1],[1,3,6,3,2,9,4,1,9,1,1,6,9,9,
3,6,3,6,1,6,6,8,12,3,1,3,6,9,3,3,3,3,3,3,3,2,3,3,4,4,4,1,3,3,1,3,1,3,1,2,3,4,
1,1,1,1,1],[1,4,3,2,18,4,6,1,6,6,3,6,9,6,12,3,12,1,4,8,8,6,1,12,6,6,6,2,3,6,3,
6,3,3,4,1,4,4,3,1,3,3,3,3,3,1,2,4,2,3,1,1,1,1],[1,3,18,3,6,9,4,1,9,1,3,6,9,9,
9,18,9,18,3,18,18,12,4,12,3,3,9,18,9,9,9,9,9,9,9,3,6,9,9,12,4,1,12,9,9,3,9,3,
9,1,3,4,3,1,3,3,1,3,1],[1,4,3,24,4,1,15,3,1,18,6,3,6,6,4,16,12,1,3,6,6,6,3,6,
3,3,6,4,4,4,1,3,3,3,3,1,3,3,1,4,4,3,1,1,1,1],[1,1,20,3,6,6,3,4,3,6,12,1,24,3,
3,3,3,6,18,18,6,10,12,3,4,8,8,4,4,2,6,3,6,3,3,3,3,12,3,3,6,6,3,3,3,3,3,3,3,6,
9,3,1,3,12,3,6,4,4,4,4,1,8,4,3,3,3,3,3,3,3,6,3,3,1,3,3,3,1,2,2,4,1,1,3,1,1,1,
1,1,2,1],[1,5,7,4,12,3,4,24,2,1,3,3,6,12,12,9,6,12,12,12,7,24,4,6,8,4,16,1,2,
6,3,12,24,4,6,12,12,3,6,6,24,1,3,6,12,12,8,1,16,4,4,3,2,6,1,3,12,1,2,4,4,1,2,
4,1,1],[1,4,3,16,24,1,24,2,1,12,3,3,5,24,12,24,18,3,18,10,12,4,3,8,4,4,3,5,12,
1,3,12,3,12,6,6,6,6,3,6,12,9,12,18,1,1,2,4,6,6,4,8,8,2,4,2,1,3,8,2,1,4,1,3,3,
3,3,3,3,6,1,6,3,6,6,2,1,2,1,1,4,2,1,2,1,1,2,6,2,4,1,2,1,2,2,4,4,3,3,1,1,1,1,1,
2,1,2,1,2,2,1],[1,3,12,3,4,9,4,1,9,1,6,9,9,18,36,12,6,36,12,16,12,3,3,18,18,
36,9,1,18,18,24,3,4,24,4,1,18,6,1,3,3,4,4,3,1,1,6,1],[1,4,3,6,6,4,6,1,6,6,3,
10,3,6,3,3,4,4,4,3,3,1,6,3,6,6,3,3,3,3,3,4,4,1,4,3,3,3,3,3,1,3,1,4,1,1,3,1,1,
1,1],[1,4,3,8,24,4,12,1,24,12,9,3,3,12,18,12,6,3,6,4,6,4,12,4,8,9,3,12,1,3,12,
3,6,12,6,6,6,3,2,6,3,6,6,3,3,12,8,8,4,4,1,4,3,1,3,3,3,3,3,6,6,6,6,1,3,1,4,2,3,
1,2,2,1,1,1],[1,4,3,2,18,4,6,1,12,6,3,9,6,12,3,12,1,4,8,8,6,1,12,6,6,2,3,6,3,
6,3,3,6,4,4,1,4,1,3,3,3,3,3,3,1,2,4,2,3,1,1,1,1],[1,6,9,4,1,2,6,6,18,9,6,6,4,
9,6,6,9,3,1,6,6,6,18,6,2,9,3,3,1,1,3,6,6,6,9,1,3,3,1,1],[1,6,4,9,16,2,6,18,6,
6,9,16,1,6,9,6,6,3,8,12,3,3,1,4,1,1,1],[1,12,9,6,16,3,18,3,6,2,9,18,12,16,9,3,
6,6,6,3,6,6,6,6,6,8,12,1,6,3,3,3,3,4,4,4,3,1,1],[1,3,3,9,4,1,9,1,2,6,9,9,6,12,
3,6,6,9,6,6,1,3,3,8,4,1,3,2,1,6,3,4,3,1,1,2,1],[1,1,16,3,4,12,3,4,6,12,1,6,24,
3,3,12,6,6,6,6,12,6,12,4,6,4,4,8,4,8,1,3,6,6,3,3,3,6,3,6,3,3,3,3,3,1,3,3,12,6,
3,3,1,6,6,6,3,12,3,4,4,4,8,4,1,4,3,3,3,3,6,3,3,3,1,3,3,3,3,3,1,1,2,1,4,2,3,2,
1,1,1,1,1,1],[1,3,12,1,4,3,4,1,3,1,3,3,6,12,12,2,12,12,16,4,1,12,3,1,6,3,3,3,
3,6,6,4,4,8,1,1,3,3,2,6,4,4,1,1,1,2,1],[1,5,7,3,4,1,3,3,6,6,9,6,2,7,8,4,1,6,2,
6,6,3,6,3,1,6,3,8,1,4,3,3,6,2,1,1,2,4,1,2,1,1],[1,2,5,4,1,2,2,8,2,4,1,4,2,5,4,
1,1,4,4,1,2,2,8,4,2,4,1,1,2,4,4,1,1,1,1,2,1,1],[1,3,3,1,16,1,12,3,3,16,6,1,6,
6,4,3,4,1,1],[1,4,5,12,6,4,6,1,9,6,6,6,6,4,6,6,3,12,4,8,8,2,3,6,6,1,3,12,6,3,
3,3,6,3,6,4,4,4,1,3,1,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,5,7,3,4,1,3,3,6,2,6,9,6,
7,8,4,1,2,6,3,6,3,6,3,6,6,1,8,1,4,3,2,1,3,6,1,2,4,1,2,1,1],[1,3,12,3,4,9,4,1,
9,1,6,9,9,18,36,12,6,36,12,12,12,4,3,3,18,18,36,9,1,18,18,24,3,4,4,1,12,12,18,
6,1,3,3,3,4,3,1,1,1,3,3,1],[1,4,3,12,12,4,6,1,9,3,7,6,6,3,6,12,4,8,8,6,6,1,3,
6,6,6,3,6,3,3,6,4,4,4,1,3,3,3,3,1,3,3,1,2,2,4,3,1,1,1,1],[1,6,9,12,16,2,6,12,
6,18,12,9,6,16,12,12,6,12,9,6,3,3,8,12,3,3,1,6,6,8,4,3,1,1],[1,2,1,4,24,1,2,2,
12,12,1,12,2,2,4,1,8,12,2,6,6,1,1,2,1,2,4,4,4,2,2,1,1,3,3,6,6,1,1,2,4,2,1,2,2,
3,2,1,1,1,2,1],[1,3,12,1,4,2,6,3,4,1,1,3,6,6,12,12,4,24,3,6,6,6,12,12,12,2,12,
12,3,16,4,8,1,3,3,6,3,12,2,3,12,3,24,1,6,6,12,4,6,24,12,12,4,8,1,16,4,6,1,2,3,
3,12,4,1,4,2,1,1,2,4,1],[1,3,3,1,16,1,6,6,3,3,16,1,3,6,6,3,4,3,4,4,1,1,1],[1,
6,9,12,4,6,2,6,6,18,12,9,12,12,8,12,6,9,3,6,12,12,3,4,1,4,4,3,6,3,1,6,3,4,2,3,
1,1,1,1],[1,4,5,12,6,4,1,9,6,12,6,6,4,6,12,3,6,4,8,8,2,6,3,6,1,3,6,6,6,3,3,6,
6,6,4,4,4,1,1,3,3,3,3,3,3,2,4,1,2,3,1,1,1,1],[1,7,15,9,16,2,9,18,36,6,27,24,
18,15,16,18,6,9,36,8,36,18,9,9,6,8,12,6,6,1,9,9,12,8,1,1,1],[1,6,9,12,16,6,2,
6,6,18,12,9,12,16,12,6,9,3,6,12,12,3,8,12,3,6,3,1,6,8,4,3,1,1],[1,3,3,6,18,9,
4,3,1,9,18,18,1,6,3,9,9,9,18,18,9,12,12,4,3,9,9,18,6,9,9,9,9,9,9,9,3,3,9,12,
12,4,1,3,3,9,9,9,9,1,3,1,3,4,3,1,3,3,1],[1,7,15,9,4,2,9,18,36,6,27,24,18,15,
16,12,18,6,9,36,8,36,18,9,9,6,12,1,4,12,6,6,1,9,9,3,4,4,1,1,3,3,1],[1,9,12,6,
16,3,18,3,2,9,18,18,16,9,6,9,3,18,18,8,12,1,9,9,12,3,1,1],[1,4,5,6,18,6,4,18,
1,9,6,12,12,9,6,4,3,6,9,6,6,3,18,3,4,8,12,4,2,9,3,3,6,6,1,3,3,6,12,3,6,3,3,3,
3,6,6,6,6,6,6,12,8,4,4,4,8,1,6,6,3,3,3,1,3,3,6,3,6,2,1,3,4,1,3,1,2,1,1,2,1],[
1,6,9,12,4,2,6,12,6,18,12,9,6,12,8,12,12,6,12,9,6,3,3,4,4,1,4,3,3,1,6,6,4,3,2,
3,1,1,1,1],[1,2,1,4,16,12,1,12,2,2,12,4,24,6,12,1,2,12,10,12,2,4,1,4,4,4,12,
12,12,6,12,1,12,6,1,1,2,2,4,4,8,4,2,4,2,2,2,4,2,4,1,4,3,1,6,3,6,1,2,2,2,1,1,4,
4,4,4,4,2,3,2,1,2,1,1,1],[1,6,9,4,1,2,2,6,2,18,4,9,4,6,9,4,4,6,9,1,2,4,4,1,2,
4,2,18,6,4,2,9,1,2,1,1,2,4,4,1,1,6,9,4,2,1,2,2,1,1,1,1],[1,2,5,16,12,1,12,2,2,
12,12,2,4,24,6,12,1,10,12,2,5,4,4,4,12,12,12,12,6,6,1,12,1,4,1,4,2,4,8,4,2,2,
4,4,4,2,2,4,1,6,1,3,3,6,4,4,4,2,1,1,1,4,2,4,4,3,1,2,1,1,2,1],[1,3,6,6,4,16,12,
3,1,6,2,6,6,6,3,2,16,1,6,6,6,3,3,6,4,8,8,3,3,1,4,1,1,1],[1,3,3,12,12,1,16,24,
6,1,12,24,8,3,24,12,12,3,12,6,8,16,24,24,24,12,6,12,1,6,12,3,8,3,12,8,4,8,8,6,
6,3,12,4,8,8,4,1,1,1],[1,4,3,6,6,1,6,1,12,2,3,8,3,6,3,3,4,3,2,2,3,3,1,12,3,6,
6,3,3,9,1,1,2,2,2,1,4,3,2,1,2,1,3,3,3,1,3,3,3,3,1,1,1,1,2,2,1,1,1,1,4,3,3,1,1,
1,1,1,1,1,1],[1,3,1,3,4,1,3,2,1,3,3,6,4,1,3,3,6,6,6,1,3,3,3,4,8,1,1,2,3,6,3,1,
4,1,1,2,1],[1,5,7,3,4,1,3,3,6,12,12,9,6,7,8,4,1,2,6,3,6,6,3,6,6,6,6,8,1,4,3,3,
1,6,6,1,2,4,3,2,1,1],[1,9,4,6,16,3,18,3,2,9,6,6,16,9,6,3,1,6,6,8,12,1,3,3,4,1,
1,1],[1,5,7,3,4,1,3,3,6,6,6,6,9,6,6,7,8,4,1,6,2,6,6,3,3,3,3,3,6,6,3,4,1,4,4,3,
3,3,1,3,3,3,1,2,4,3,1,1,1,1],[1,3,6,1,2,3,4,1,3,1,1,3,3,3,6,3,6,1,6,6,8,4,1,1,
6,3,3,3,3,3,3,3,3,3,3,2,3,4,4,4,1,1,1,1,3,3,3,3,2,1,4,1,1,1,1,1],[1,3,1,2,6,3,
4,1,1,3,6,6,3,6,6,12,12,3,4,8,1,6,2,3,3,6,6,6,6,6,6,8,4,1,1,3,6,3,6,1,4,2,3,2,
1,1],[1,2,1,4,1,2,6,2,6,1,2,2,4,1,6,2,6,1,1,2,1,2,2,2,2,2,1,1,3,3,1,1,2,2,1,2,
2,3,1,1,1,1],[1,3,1,3,4,1,3,1,3,3,4,1,6,6,3,3,4,1,1,3,3,1,4,3,1,1],[1,12,3,6,
6,16,12,3,1,6,12,6,2,6,6,12,3,2,16,3,6,6,3,6,12,12,6,3,6,4,8,8,3,6,3,1,6,4,8,
3,1,1],[1,4,3,6,6,4,6,1,12,6,3,4,3,6,3,3,4,4,4,3,3,1,6,3,6,3,3,3,6,3,3,4,4,4,
1,3,3,3,1,3,3,3,4,1,1,1,3,1,1,1,1],[1,3,1,14,18,3,4,12,1,1,3,18,6,18,6,6,3,6,
18,6,6,6,6,3,6,4,8,8,8,1,6,6,6,6,6,6,6,6,6,3,6,3,6,2,3,3,3,6,3,6,6,6,6,6,4,4,
8,4,8,1,1,3,6,3,6,6,3,3,3,6,3,1,2,4,2,2,3,2,1,2,1,1,1],[1,2,1,4,4,1,2,2,12,4,
1,2,12,4,2,4,1,4,6,1,6,1,1,2,2,4,2,2,2,4,4,1,4,3,1,3,1,2,2,1,1,2,2,3,1,1,1,
1],[1,6,9,6,18,4,18,2,6,9,18,3,9,18,18,9,18,3,12,12,4,9,3,6,9,9,18,9,6,9,9,9,
9,18,12,12,1,4,3,9,9,3,9,1,9,3,1,3,4,3,3,3,1,1],[1,5,7,24,3,4,1,3,3,6,12,12,9,
6,24,12,7,24,12,8,4,16,1,12,2,6,3,12,12,12,6,3,6,6,6,6,6,12,12,8,8,8,1,4,3,3,
6,6,6,1,6,6,6,1,2,4,4,3,2,2,1,2,1],[1,5,6,7,2,3,4,1,3,3,6,1,9,6,3,6,3,7,6,1,6,
6,8,8,4,1,2,6,3,6,3,3,3,3,3,3,3,1,2,3,3,3,4,4,1,4,1,1,1,3,3,3,3,2,1,2,4,1,1,1,
1,1],[1,4,3,20,12,4,12,6,1,12,3,3,9,24,6,12,6,3,6,16,12,4,4,12,8,3,9,12,1,3,
12,3,12,6,6,6,6,3,2,6,3,12,6,3,3,6,8,8,4,4,1,4,3,1,3,3,3,6,3,6,3,6,6,1,1,3,4,
2,3,1,2,1,2,1,1],[1,6,9,4,16,2,6,6,18,9,6,16,6,6,9,3,1,6,8,12,3,3,1,4,1,1,1],[
1,6,9,2,6,4,6,2,6,3,18,1,3,6,6,9,6,1,12,8,3,1,6,3,3,6,3,2,3,3,3,9,6,4,1,4,4,1,
3,3,1,3,1,3,3,4,2,1,1,1,1,1],[1,3,12,4,16,1,3,3,6,12,6,16,6,6,1,3,6,3,6,4,3,1,
3,4,1,1,1],[1,2,5,4,1,2,2,2,4,1,24,4,2,5,4,1,1,12,4,1,2,8,2,4,2,4,1,1,6,4,1,1,
1,4,3,1,2,1],[1,6,12,9,16,2,6,18,18,18,9,16,3,6,9,18,18,9,8,12,9,9,1,12,3,1,
1],[1,6,9,6,18,4,18,2,6,9,18,3,9,18,18,9,18,3,12,12,4,9,3,6,9,9,18,9,6,9,9,9,
9,18,12,12,1,4,3,9,9,3,9,1,9,4,3,3,1,3,3,1,3,1],[1,4,5,12,6,4,1,9,6,6,6,6,4,6,
6,12,3,6,4,8,8,2,6,3,6,1,3,6,6,3,3,3,6,12,3,4,4,1,4,3,1,3,3,3,3,3,4,2,1,2,3,1,
1,1,1],[1,6,9,12,16,2,6,18,18,9,18,16,18,6,9,9,3,18,8,12,9,9,1,12,3,1,1],[1,3,
12,3,4,9,16,1,9,1,6,9,9,18,36,12,6,36,12,16,3,3,18,18,36,9,1,18,18,24,3,4,4,
12,4,18,6,1,3,3,4,12,4,1,1,1],[1,1,10,3,10,6,6,3,4,3,6,1,3,12,3,3,12,24,3,3,6,
9,3,9,18,10,3,4,4,4,4,4,4,4,1,3,3,3,6,3,3,3,3,3,6,3,3,3,3,1,3,3,3,3,9,1,3,3,3,
6,3,12,3,3,3,12,4,4,4,1,4,4,4,4,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,1,1,1,1,4,1,1,1,
3,1,1,1,1,1,1,1,1],[1,3,1,2,6,3,4,1,1,3,6,6,2,3,6,6,6,3,4,8,1,6,2,3,3,3,6,6,6,
3,1,3,4,8,1,1,2,3,3,6,1,4,2,1,1,2,1],[1,2,5,4,1,2,2,2,4,1,4,2,5,4,12,1,1,4,1,
2,2,4,2,4,1,1,6,4,1,1,1,4,3,2,1,1],[1,4,3,6,30,1,18,1,6,2,3,2,15,18,24,3,24,3,
4,3,10,2,6,1,12,6,6,6,6,9,12,3,18,1,1,2,8,8,6,2,5,2,3,6,1,1,3,3,3,3,1,3,3,3,2,
2,2,3,4,1,1,6,1,2,2,1,4,3,1,1,1,1,1,1,1,1],[1,6,9,6,18,1,18,2,6,9,18,3,9,18,
18,9,18,3,6,9,6,2,9,3,6,9,9,18,9,6,9,9,9,9,18,6,6,6,3,3,18,6,1,6,1,2,9,3,9,9,
3,9,1,9,2,3,3,3,6,3,1,6,9,6,3,3,3,3,1,1,3,1,3,3,3,1],[1,3,18,3,6,9,4,1,12,3,4,
3,12,9,30,9,3,6,3,30,6,4,12,12,6,6,6,1,6,6,6,1,12,1,3,6,3,3,9,3,3,6,3,12,6,3,
3,6,3,1,12,4,12,6,6,3,3,1,3,3,3,3,3,3,3,3,1,1,1,1,1,4,1,1,3,1,1,1,1,1,1,1,1],[
1,12,3,16,1,6,3,3,6,16,6,6,3,3,6,3,4,3,3,1,4,3,1,1],[1,12,3,6,6,16,12,3,1,12,
6,2,6,6,6,12,3,2,16,12,3,6,6,3,3,6,6,12,6,4,8,8,3,6,6,3,1,4,8,3,1,1],[1,5,7,
12,12,3,4,24,6,1,3,3,6,12,6,9,6,6,12,12,7,12,6,8,4,8,8,1,6,6,6,2,6,6,3,6,6,6,
6,12,3,6,3,3,3,6,3,12,6,6,8,4,8,4,1,4,6,6,3,3,6,1,3,3,6,3,3,1,4,2,2,2,3,1,1,2,
2,1,1],[1,2,5,6,18,1,6,2,9,4,7,9,6,6,1,6,3,2,5,6,2,3,6,12,6,6,6,6,6,3,3,3,1,2,
2,2,2,4,3,3,4,2,1,2,1,1,3,3,3,3,1,3,3,2,2,4,1,2,2,1,2,1,2,2,1,1,3,1,1,1,1,1,1,
1,1],[1,3,12,4,16,1,3,3,6,12,6,16,1,6,6,3,6,6,3,4,3,1,3,4,1,1,1],[1,3,6,1,2,2,
6,3,4,1,1,3,6,6,1,3,6,3,6,6,3,6,1,6,6,3,8,4,8,1,6,6,2,3,3,3,3,3,3,3,3,3,3,2,1,
3,4,4,4,1,1,1,1,3,3,3,3,2,1,4,2,1,1,1,1,1],[1,4,3,4,12,1,2,1,15,3,5,6,6,3,6,4,
4,3,4,4,6,2,1,9,6,6,6,3,12,1,1,2,2,2,2,2,2,5,3,1,4,1,3,3,3,3,3,3,1,3,2,2,2,1,
1,2,2,1,2,3,4,1,3,1,1,1,1,1,1,1,1],[1,3,6,6,4,16,12,3,1,6,2,6,6,6,3,2,16,6,6,
6,1,3,3,6,4,8,8,3,3,1,4,1,1,1],[1,3,6,2,1,15,4,1,3,3,6,6,6,1,6,6,3,3,6,3,6,6,
6,8,8,4,6,6,6,3,1,3,6,6,3,3,3,2,6,3,6,4,4,1,4,3,1,3,3,3,3,3,2,2,4,1,3,1,1,1,
1],[1,12,3,6,6,16,12,3,1,6,2,6,6,6,12,12,3,2,16,12,6,6,3,3,6,6,6,3,12,4,8,8,3,
6,6,3,1,4,8,3,1,1],[1,12,3,16,1,3,3,6,6,16,6,3,3,3,6,6,4,3,1,3,4,3,1,1],[1,5,
11,15,4,1,3,27,30,2,12,21,10,42,7,8,20,6,5,15,36,2,18,3,24,3,3,1,3,30,6,16,8,
1,4,6,4,3,1,12,2,3,5,2,4,1,2,4,1,1],[1,3,1,24,3,4,1,3,12,12,1,3,3,12,12,4,16,
1,12,6,6,3,6,3,6,12,4,8,1,1,6,3,6,3,1,4,4,3,1,2,1],[1,3,12,6,6,16,12,3,1,6,2,
12,6,6,6,12,3,2,16,12,6,6,3,3,12,6,3,6,6,4,8,8,3,6,6,3,1,4,8,3,1,1],[1,4,5,2,
6,6,4,6,1,9,6,3,6,4,1,6,3,6,6,3,6,1,4,8,8,2,3,6,1,3,3,3,2,3,3,3,6,1,3,3,6,4,4,
1,4,1,3,3,3,3,1,1,4,2,1,2,1,1,1,1,1],[1,2,5,4,24,1,2,2,6,2,4,6,12,12,1,12,4,2,
5,8,4,6,12,12,12,12,12,6,1,1,4,1,2,4,4,4,2,2,4,2,2,4,1,1,3,6,3,6,4,4,4,4,1,1,
4,1,4,2,2,3,1,2,2,1,1,1],[1,3,6,2,13,3,4,1,3,3,1,6,6,6,3,3,6,3,6,6,6,6,6,8,8,
4,6,6,6,3,1,3,6,6,6,3,3,3,2,6,3,4,4,1,4,3,1,3,3,3,3,3,2,2,4,1,3,1,1,1,1],[1,3,
3,2,6,9,4,1,1,9,6,6,1,6,1,3,9,9,6,6,3,12,8,3,3,3,6,2,3,3,9,3,3,3,3,3,1,3,4,4,
4,1,1,1,3,3,3,3,1,3,4,2,1,1,1,1,1],[1,3,12,16,1,3,3,6,6,16,6,3,3,6,3,6,4,3,3,
1,4,3,1,1],[1,12,3,16,1,3,3,6,6,16,6,3,3,3,6,6,4,3,1,3,4,3,1,1],[1,9,3,6,4,27,
6,9,6,3,4,6,9,6,1,6,1,3,1,1],[1,27,3,6,4,27,18,27,18,3,4,6,27,18,3,18,1,9,3,
1],[1,3,6,18,16,1,6,6,9,16,24,4,1,2,4,2,3,4,4,1,2,2,4,1],[1,6,9,3,6,4,9,12,2,
6,6,6,9,6,3,4,6,6,9,2,4,6,2,1,6,6,1,1,6,1,2,1],[1,5,11,4,28,15,24,2,1,3,27,30,
12,20,2,12,12,6,10,21,10,4,42,28,12,20,7,40,4,14,6,5,8,15,36,4,12,2,4,18,3,24,
3,12,24,24,12,24,16,8,8,8,8,3,8,4,6,12,20,6,4,1,3,6,10,24,1,2,4,30,6,6,7,5,10,
10,12,20,8,28,20,16,6,4,8,10,20,3,4,4,3,8,6,4,4,4,2,1,2,2,5,3,4,2,6,4,4,4,4,
12,6,4,6,10,10,2,4,6,3,12,12,4,4,12,20,6,6,1,4,2,3,12,5,12,3,2,2,4,12,6,4,4,7,
4,2,3,4,10,4,8,12,4,12,8,8,4,2,1,4,4,4,1,1,4,4,2,1,3,2,4,4,1,4,4,4,3,3,2,12,2,
2,1,2,2,3,2,5,4,2,2,2,4,4,2,2,2,2,2,2,1,1,2,1,1,1,1,1,1],[1,5,11,12,20,15,40,
6,1,3,27,30,20,12,2,24,8,12,12,2,14,21,10,4,42,24,20,20,12,7,24,12,10,8,6,5,4,
15,4,36,24,4,12,2,4,18,3,24,3,28,24,24,12,24,12,8,8,8,12,8,4,8,4,3,4,4,10,20,
12,10,4,1,3,4,10,6,12,24,3,2,4,30,6,10,8,4,5,7,6,6,20,12,12,4,12,20,8,6,4,8,8,
6,20,1,4,4,4,3,4,6,8,4,4,6,2,4,4,1,4,2,3,6,5,4,2,4,12,2,6,10,6,6,2,2,4,6,3,12,
12,4,20,12,10,1,2,4,8,5,4,12,3,8,4,12,7,4,4,4,2,2,12,6,8,4,4,4,3,4,8,8,2,3,10,
4,12,8,8,4,8,12,4,4,8,1,4,4,4,2,1,1,4,2,3,4,4,2,1,4,4,4,3,4,12,2,1,2,1,2,5,2,
3,4,4,4,2,2,3,2,2,2,2,2,1,2,1,2,2,2,1,1,1,1,1,1],[1,7,15,4,4,9,8,2,2,9,18,36,
4,6,16,6,14,27,24,8,18,4,4,15,4,2,18,6,4,9,4,36,16,4,8,16,36,18,4,4,4,8,4,4,2,
4,12,12,9,9,4,2,1,4,12,8,12,4,1,7,14,4,4,4,4,6,4,14,3,4,1,4,4,6,4,1,4,4,8,6,4,
4,12,4,4,1,2,6,1,4,4,4,8,6,1,2,8,1,9,7,1,4,4,4,8,2,2,12,2,1,4,9,4,12,4,4,4,2,
2,4,1,6,2,1,2,1,1,1,1,4,1,1,1,1,6,6,2,2,4,4,1,2,4,2,8,2,2,2,2,2,1,2,2,1,1,1],[
1,7,15,4,20,9,24,2,2,9,18,36,12,16,6,20,2,10,27,24,4,18,20,12,16,15,32,4,10,
18,6,14,9,2,36,12,8,8,12,36,18,8,8,12,24,6,20,4,4,4,14,6,4,6,12,16,8,16,9,9,6,
8,24,1,2,16,10,8,2,5,5,8,6,12,16,6,6,4,20,6,4,6,4,1,2,4,2,12,12,2,2,6,8,6,6,6,
1,6,4,4,2,2,2,12,10,2,4,4,2,2,2,10,3,2,2,6,6,2,4,6,10,4,6,3,6,1,7,7,3,9,3,4,2,
6,6,3,3,1,12,6,2,10,9,2,2,4,4,10,4,4,10,12,4,2,1,2,4,3,1,1,2,4,2,3,3,1,1,2,6,
1,2,2,1,2,4,1,3,2,5,1,1,3,2,2,5,1,1,1,1,2,6,2,2,2,3,3,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1],[1,3,8,7,8,4,20,5,8,2,1,4,8,4,8,2,4,8,4,2,2,8,16,7,4,4,6,20,4,12,8,4,3,
16,12,24,8,4,10,2,1,4,2,2,4,4,4,4,4,12,4,4,8,8,4,8,8,8,8,8,4,8,2,4,8,1,1,2,4,
4,2,2,1,2,4,2,2,4,4,2,5,4,4,2,1,4,2,2,4,8,4,8,2,2,4,2,4,4,8,2,12,4,2,4,4,4,4,
4,8,2,1,8,4,4,4,4,8,4,1,8,4,4,2,4,1,2,2,2,4,2,2,4,2,4,4,4,2,2,2,4,4,2,4,2,4,4,
4,4,4,4,4,2,1,4,1,4,1,4,2,4,4,4,4,4,8,8,4,2,4,4,1,4,2,1,2,4,8,2,8,4,8,4,4,4,4,
2,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,1,1,4,4,2,4,1,2,2,4,2,1,4,2,2,2,
1,2,4,2,1,2,1,2,1,4,2,1],[1,5,11,4,12,15,8,2,1,3,27,30,4,4,2,24,12,2,6,21,10,
8,42,12,4,4,7,8,4,6,6,5,6,15,2,36,16,2,16,18,3,24,3,8,6,12,4,4,4,4,8,6,3,6,2,
4,4,2,16,1,3,4,2,2,1,4,16,30,12,2,2,3,3,2,2,4,4,6,6,8,8,12,6,4,2,8,1,2,4,4,4,
6,4,2,2,2,8,2,2,2,1,8,1,1,2,12,2,2,4,4,6,1,2,2,3,2,2,2,2,4,3,3,2,2,4,2,4,4,2,
3,1,3,3,1,12,1,2,6,2,2,2,3,3,1,2,10,2,2,4,2,3,4,10,4,6,6,4,4,2,2,2,2,2,2,4,1,
3,2,1,2,1,1,1,2,3,2,1,1,2,2,4,2,1,1,1,1,1,1,1,8,1,2,2,2,2,1,1,2,3,1,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,15,4,4,9,8,2,2,9,18,36,4,6,4,2,2,27,24,4,
18,4,4,15,16,4,2,18,6,4,9,4,36,4,4,8,4,36,18,4,4,4,8,4,2,4,9,9,2,1,2,2,4,1,1,
2,4,8,8,4,4,4,8,6,4,2,1,1,4,1,4,2,2,4,1,2,6,4,4,1,4,4,2,6,1,2,2,1,9,1,4,4,1,4,
2,2,2,2,1,9,4,4,2,1,1,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,6,8,9,8,12,
12,2,2,6,8,4,6,2,18,6,8,6,12,12,12,12,9,12,8,6,4,6,6,4,2,2,6,6,4,4,6,12,8,4,4,
4,4,4,6,4,6,6,6,9,4,2,12,2,1,2,2,4,12,8,8,12,4,6,4,4,1,4,2,2,2,2,2,1,2,1,6,1,
2,2,6,1,1,2,6,6,4,2,6,1,4,1,6,2,2,4,4,4,2,2,4,4,4,4,4,1,1,2,2,1,2,2,1,2,2,2,2,
2,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,2,8,9,8,12,4,12,2,4,2,12,8,8,2,8,8,4,10,2,4,
6,2,4,8,6,4,12,4,4,1,12,8,6,4,4,4,4,2,2,4,2,2,4,8,4,4,4,8,8,8,4,8,4,6,4,4,2,2,
2,1,4,4,8,2,4,2,1,4,2,2,2,4,8,8,4,4,4,4,4,6,2,2,4,4,4,4,1,4,2,4,4,2,2,2,2,1,4,
1,2,1,2,4,4,2,2,4,2,1,2,1,2,4,2,2,1,4,2,1,2,2,2,4,4,2,2,4,4,4,4,4,4,2,2,1,1,1,
2,1,2,2,2,2,2,2,1,2,1,2,1,2,1,1,1,1,1,1,1,1],[1,7,15,12,28,9,56,6,2,9,18,36,
28,24,6,24,8,16,2,2,27,24,8,18,24,28,28,24,15,48,12,14,8,18,6,16,9,8,36,24,16,
4,8,16,36,18,4,24,24,8,8,24,48,16,24,16,16,12,16,8,16,16,16,8,14,28,24,12,9,9,
8,14,12,12,48,3,4,12,8,8,8,7,1,12,2,28,24,16,16,4,24,6,4,8,16,2,1,8,8,8,1,24,
8,24,4,8,12,6,6,12,16,1,16,2,8,6,6,4,2,12,12,8,4,4,4,2,4,1,2,12,8,2,4,6,12,1,
4,16,12,4,12,2,6,1,8,2,16,7,8,9,1,16,8,1,4,2,16,12,2,8,4,24,16,8,8,2,1,12,8,
16,16,9,12,16,4,4,8,16,12,4,2,2,2,4,2,4,1,4,1,2,8,6,6,4,1,2,4,2,2,12,4,4,4,1,
1,8,1,4,8,4,1,1,2,1,2,1,1,2,8,4,8,4,4,8,4,4,6,2,4,4,2,12,4,4,2,2,2,2,8,2,2,2,
2,2,4,1,2,2,2,4,2,2,1,2,1,1],[1,7,16,15,4,4,9,8,2,2,9,18,36,4,8,6,16,4,2,2,27,
24,4,18,4,4,24,24,24,15,8,8,4,2,18,6,4,9,4,36,12,4,4,2,12,4,4,8,4,36,18,4,4,2,
4,4,2,4,9,9,8,2,4,4,2,4,1,2,2,12,4,4,1,24,1,4,2,4,24,2,4,4,4,4,12,4,2,2,2,8,
12,12,6,4,8,12,2,1,12,8,12,2,2,1,4,4,2,2,1,4,4,2,2,12,2,12,12,4,6,4,12,1,2,12,
2,6,4,1,6,4,4,8,2,4,6,1,2,2,1,9,1,4,1,4,4,2,4,2,2,2,2,1,8,2,2,12,4,9,4,4,2,4,
2,2,4,2,2,4,4,4,6,12,4,4,2,2,4,1,4,1,2,6,4,6,2,1,2,1,1,1,2,4,6,1,6,4,1,2,2,2,
1,1,2,2,1,4,2,1,2,1,2,1,2,1,1,2,1,1,1],[1,7,12,15,4,8,9,2,9,18,36,4,8,6,6,8,4,
16,27,24,18,8,18,4,12,18,15,4,8,8,6,12,4,4,18,6,8,9,36,6,3,2,6,6,8,8,36,6,18,
6,8,2,8,6,4,2,4,9,9,2,6,4,2,4,4,4,2,4,6,6,2,18,4,2,4,2,3,4,18,2,4,4,9,1,4,2,2,
2,8,4,8,6,6,6,6,6,4,4,4,6,8,4,6,6,6,6,4,2,2,2,2,2,2,2,1,1,2,9,2,6,6,6,3,6,4,6,
3,9,3,3,2,4,2,6,6,4,4,2,2,3,4,4,3,4,4,2,4,6,2,1,4,4,9,2,4,6,4,4,2,2,2,2,2,2,4,
6,2,2,9,2,2,2,2,1,1,2,2,2,2,4,2,4,2,4,6,2,2,4,3,6,4,2,2,2,2,3,2,2,2,3,3,2,3,4,
2,2,1,2,2,2,3,3,3,1,2,2,2,2,1,1,2,3,3,2,2,2,2,3,1,2,2,2,2,1,1,1,2,2,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1],[1,3,15,4,4,13,8,2,9,12,48,4,6,8,8,2,2,15,12,42,4,4,3,16,
4,2,30,3,36,4,12,4,32,12,4,8,8,8,4,2,4,4,3,1,2,1,4,12,4,1,1,2,4,8,8,8,4,8,8,6,
4,2,1,4,1,12,8,2,4,1,4,4,4,4,2,4,4,4,1,6,6,1,4,1,4,1,4,3,2,4,4,4,2,2,1,1,2,2,
2,2,1,2,2,2,2,2,2,1,1,4,1,1],[1,3,8,7,8,4,4,5,8,2,1,4,8,4,2,4,8,4,2,10,8,16,7,
4,4,6,4,4,12,4,3,12,16,24,8,4,2,2,1,4,2,2,4,4,4,4,4,12,4,4,4,4,8,4,2,4,4,1,1,
4,2,4,2,2,1,2,4,2,4,2,4,4,2,1,4,4,2,5,2,2,4,4,8,8,2,2,4,2,4,4,2,8,12,4,2,4,4,
4,4,4,2,1,8,4,4,4,4,8,4,1,4,4,2,1,2,2,2,8,4,2,4,2,4,4,2,2,4,4,2,4,2,4,4,4,4,4,
4,2,1,4,1,4,1,4,4,4,4,4,2,4,4,1,4,4,2,1,2,4,2,4,4,4,4,2,4,4,4,2,4,4,8,2,2,2,2,
2,2,2,2,4,1,4,4,2,1,4,4,2,1,1,2,2,4,4,2,2,1,4,2,1,1,1,2,1],[1,5,11,4,12,15,24,
2,1,3,27,30,12,12,2,12,2,6,21,10,42,12,12,12,7,24,16,16,4,6,6,5,15,36,12,2,18,
3,24,3,12,12,24,3,4,6,12,12,6,1,3,6,6,24,1,30,6,3,3,6,6,12,12,8,8,8,8,12,12,8,
8,6,4,6,12,1,4,3,6,1,3,3,2,12,6,6,6,2,4,6,3,4,4,4,12,12,8,12,12,6,1,3,12,3,4,
12,3,8,12,6,3,4,2,3,16,6,4,1,4,2,1,1,3,2,3,12,2,3,3,4,4,2,4,2,2,4,2,2,1,1,1,
1],[1,6,8,9,4,16,12,2,8,6,8,4,10,2,18,2,4,10,12,12,12,12,9,12,8,2,2,10,8,2,4,
2,2,4,6,6,4,4,6,12,4,4,4,4,4,4,6,4,6,6,6,9,4,12,2,1,12,1,4,12,4,4,6,2,2,8,8,2,
2,2,2,1,2,1,2,2,6,2,2,1,6,1,1,6,6,2,6,1,2,2,4,4,4,2,4,6,4,4,4,4,4,4,2,2,1,2,1,
2,1,2,1,1,2,2,1,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,7,4,20,5,8,2,1,4,8,
4,8,8,2,16,4,2,2,7,4,4,6,20,4,24,8,24,8,3,8,8,16,4,10,2,1,4,4,4,4,2,12,4,4,4,
4,4,8,8,8,8,8,8,2,8,8,2,4,8,1,1,8,2,4,4,4,2,4,1,2,2,4,4,5,8,1,4,4,2,4,8,8,2,4,
4,8,4,4,2,2,2,8,8,12,4,2,4,8,4,8,2,1,4,8,4,2,2,4,1,8,4,4,4,2,2,1,4,2,2,4,2,2,
4,4,2,4,4,2,4,2,4,4,2,4,8,4,4,1,1,8,4,4,1,2,4,4,4,2,8,4,8,8,1,8,2,2,4,4,1,4,4,
2,4,2,2,8,4,4,2,4,2,4,4,4,4,2,4,4,4,4,2,4,2,4,4,2,2,2,2,2,4,4,2,4,2,1,1,4,4,2,
1,2,4,1,2,2,4,2,1,4,4,2,2,1,2,2,1,2,2,4,1,1],[1,3,16,15,4,4,13,8,2,9,12,48,4,
8,6,8,16,8,8,2,2,15,12,42,4,4,24,24,16,3,8,8,4,2,30,3,36,4,4,4,2,12,4,12,4,32,
12,16,4,8,8,2,8,4,2,4,4,3,1,8,2,16,4,4,2,4,1,4,12,4,8,4,4,1,8,1,4,4,2,4,8,2,4,
8,4,8,4,2,2,2,8,8,12,12,6,4,8,12,2,1,12,8,12,2,2,4,1,12,8,4,2,4,2,2,1,4,4,2,
12,8,8,4,4,6,4,2,4,4,2,8,4,2,2,4,2,8,8,4,4,1,6,6,1,4,1,4,4,4,2,1,8,8,2,2,4,4,
8,3,4,4,2,4,2,2,2,4,4,2,2,4,4,4,4,6,4,4,4,4,4,2,2,2,4,4,1,1,2,2,2,2,2,2,2,2,4,
4,2,1,2,2,4,1,8,4,2,2,2,2,1,1,4,1,2,1,1,2,2,2,1,2,2,1],[1,5,11,4,12,15,24,2,1,
3,27,30,12,12,2,12,2,6,21,10,42,12,12,12,7,24,4,6,6,5,15,36,12,2,18,3,24,3,12,
12,24,8,8,3,4,6,12,12,6,1,3,6,6,24,1,30,6,3,3,6,6,12,12,12,12,6,4,6,12,1,4,3,
6,1,3,3,2,12,6,6,6,2,4,6,3,4,4,12,12,12,12,6,1,3,12,3,4,4,12,3,4,12,6,3,2,3,6,
4,1,4,1,1,2,3,2,3,12,3,3,4,4,4,2,2,4,2,2,1,2,2,1,1,1],[1,6,8,9,4,16,12,2,6,8,
4,10,2,18,2,4,10,12,12,12,12,9,8,12,8,2,2,10,2,4,2,4,6,6,8,4,4,6,12,4,4,4,2,4,
4,4,6,4,6,6,6,9,4,4,12,2,2,1,12,1,12,2,4,4,6,2,8,8,2,2,1,2,1,2,2,6,2,2,2,1,6,
1,1,6,6,2,6,1,2,2,4,2,6,4,4,4,4,4,4,4,4,4,2,2,1,2,2,2,1,2,1,2,1,1,2,2,2,1,1,2,
2,2,2,1,1,1,1,1,1,1,1,1],[1,7,15,4,4,9,8,2,2,9,18,36,4,6,4,2,2,27,24,4,18,4,4,
15,16,4,2,18,6,4,9,4,36,4,4,8,4,36,18,4,4,4,8,4,2,4,9,9,2,1,2,2,4,1,1,2,4,8,8,
4,4,4,8,6,4,2,1,1,4,1,4,2,2,4,1,2,6,4,4,1,4,4,4,2,6,1,2,2,1,9,1,4,1,4,4,2,2,2,
2,1,4,9,2,1,2,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,3,8,15,8,4,4,13,8,2,
9,12,48,4,6,4,8,8,8,2,2,8,16,15,12,42,4,4,12,20,3,12,24,8,4,2,30,3,36,8,2,2,4,
4,12,4,12,32,12,4,4,4,8,8,4,4,2,4,4,3,1,2,4,2,2,1,4,4,12,4,2,4,4,8,2,1,4,4,2,
1,2,2,4,4,8,10,2,4,2,4,4,8,2,12,8,4,6,4,4,4,4,8,4,2,1,8,8,4,8,20,20,4,8,4,1,
12,8,4,2,2,4,1,2,4,2,4,8,12,2,4,4,4,4,2,10,4,4,8,4,2,4,2,2,4,4,4,4,4,4,4,2,1,
4,6,6,1,1,4,4,4,4,4,2,4,4,1,4,8,2,8,8,3,2,4,2,2,4,4,4,4,2,4,4,4,4,2,4,2,2,2,4,
2,2,2,1,1,2,2,2,2,2,4,4,4,4,2,2,1,4,2,2,4,2,4,2,2,2,1,1,4,2,1,2,1,4,2,1,1,2,2,
1,2,2,2,1],[1,3,12,15,4,8,13,9,12,48,4,8,6,6,4,8,4,16,15,12,4,42,8,18,4,12,18,
3,4,8,8,6,12,4,4,30,3,36,6,3,2,6,4,2,8,4,12,4,6,32,12,10,8,2,6,4,8,4,2,3,1,2,
10,4,2,2,4,12,2,2,4,6,6,2,6,4,2,4,2,3,4,6,2,4,4,8,9,1,4,2,2,2,8,4,8,6,6,10,2,
6,4,4,4,10,8,4,10,10,10,10,4,2,2,4,2,8,12,4,2,2,2,2,1,1,2,3,2,2,10,10,5,2,2,5,
3,1,5,1,2,2,4,2,4,4,4,2,1,3,4,1,4,4,2,4,4,4,2,6,6,2,4,2,4,4,4,2,4,2,2,2,2,2,2,
4,4,2,2,2,4,4,4,3,2,2,2,2,1,1,2,2,2,4,2,4,2,4,2,2,2,4,5,2,4,2,2,2,2,3,2,2,2,2,
2,2,1,2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,4,1,1,1,1,2,2,2,2,1,1,6,2,2,1,1,1,1,4,
1,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,9,27,4,12,27,24,2,3,27,81,162,12,12,
18,12,36,2,6,81,54,4,162,12,12,12,27,24,4,6,162,27,12,81,4,324,12,12,18,12,
162,27,216,81,12,12,24,12,24,12,27,12,4,6,12,12,6,12,27,27,6,6,24,1,2,12,162,
6,6,4,3,3,6,6,12,12,12,12,12,12,24,54,4,6,12,1,36,4,3,24,162,24,12,6,12,12,1,
12,2,6,3,3,2,12,12,12,1,12,6,6,6,6,2,54,6,27,3,12,12,12,12,4,12,12,12,6,6,27,
3,6,6,3,81,162,3,12,3,12,12,6,6,2,12,6,6,3,12,18,81,6,6,12,12,2,1,4,6,6,12,1,
6,1,3,27,3,27,6,6,6,3,4,6,3,12,4,3,3,12,9,3,6,6,12,6,3,6,3,6,12,6,6,1,2,6,2,3,
3,6,1,1,3,3,1],[1,3,12,3,4,12,12,9,24,6,1,12,12,4,2,12,24,8,4,12,4,8,3,12,24,
12,12,6,20,6,3,4,4,2,8,20,8,4,12,6,8,6,8,4,24,8,3,1,4,1,4,8,4,24,24,24,12,1,4,
1,8,6,12,6,1,4,6,12,2,2,3,1,3,4,6,8,6,8,4,2,2,3,2,6,4,8,8,12,6,2,4,4,4,4,4,2,
12,1,2,2,2,4,6,1,4,4,2,2,4,2,8,4,4,2,2,4,2,8,12,8,2,4,2,4,2,2,1,8,4,2,4,6,1,1,
2,6,3,2,2,4,4,2,6,4,2,2,2,1,1,4,3,2,2,2,2,2,12,6,2,2,2,3,4,8,4,2,2,4,6,4,2,2,
2,1,2,4,4,4,2,4,4,4,2,2,2,1,2,2,1,2,4,2,2,2,2,4,8,2,4,6,12,2,2,4,1,1,2,2,4,1,
2,12,2,2,1,2,4,2,4,2,2,2,4,4,1,2,2,2,1,2,1,1,2,1,1,4,2,2,2,2,2,1,2,4,2,2,2,2,
2,2,2,2,2,1,2,3,2,2,2,3,2,2,2,2,2,1,2,1,2,1,1,1,1,2,1,1,2,2,2,1,1],[1,2,8,9,4,
16,4,12,4,2,12,8,8,2,8,4,6,2,4,6,6,4,4,10,4,12,4,12,1,8,12,8,2,2,4,4,4,2,4,4,
2,2,4,8,4,4,4,8,4,8,4,4,8,2,4,4,6,4,8,2,2,2,1,4,4,2,2,4,2,1,4,1,4,4,4,2,4,4,2,
6,6,2,4,8,4,8,8,2,1,4,2,4,1,2,2,4,2,2,2,2,4,2,4,2,2,1,2,2,1,1,4,2,4,1,4,4,2,2,
2,2,4,4,4,4,4,4,4,2,2,1,2,2,2,1,1,1,2,1,2,2,2,1,1,2,2,2,2,1,2,1,1,1,1,1,1,1,
1],[1,3,7,4,4,5,8,2,1,4,8,4,2,8,8,6,6,7,4,6,4,4,8,3,16,4,2,2,1,4,4,4,4,8,2,4,
4,1,1,2,1,4,4,8,1,3,4,6,4,8,8,4,4,8,2,4,6,3,1,4,2,1,4,4,4,2,4,4,2,4,1,3,4,1,1,
1,4,4,4,4,4,2,1,2,1,1,2,2,2,2,1,1,2,1,1,1,1],[1,6,9,8,8,12,12,2,2,6,12,4,6,2,
8,18,6,8,6,12,12,9,12,12,8,6,4,6,6,4,8,12,6,6,4,4,4,6,12,8,4,4,4,4,4,6,4,6,6,
6,9,4,12,1,2,8,2,4,2,6,4,2,2,2,12,4,4,1,2,2,2,2,1,2,1,2,1,2,2,6,1,1,2,6,6,6,2,
6,1,4,1,6,2,2,4,4,4,2,4,2,4,4,4,4,4,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1],[1,3,16,7,4,4,5,8,2,1,4,8,4,8,2,16,8,6,6,7,4,6,4,4,24,24,8,3,8,8,
4,2,2,1,4,4,4,4,2,12,4,4,4,2,8,2,4,4,1,1,8,2,4,4,2,4,1,4,4,4,4,1,8,3,4,6,4,8,
2,4,4,4,4,2,2,2,8,12,4,2,4,8,4,6,3,4,8,4,2,2,1,4,4,2,2,2,1,4,4,4,2,4,4,2,4,4,
2,4,4,2,4,8,4,4,1,3,4,4,1,4,4,4,2,1,8,2,2,4,4,1,4,4,4,2,4,2,2,4,4,2,2,4,4,4,2,
4,4,4,4,2,4,4,1,2,2,2,1,2,4,4,2,1,2,2,4,1,4,2,1,2,4,4,2,1,2,1,2,1,1],[1,3,7,4,
20,5,8,2,1,4,8,4,8,2,4,2,2,7,4,4,6,20,4,8,16,3,16,16,4,10,2,1,4,8,4,4,4,4,4,8,
8,8,8,8,8,8,2,4,8,1,1,2,4,1,2,2,8,5,1,4,2,4,8,8,8,8,8,4,8,8,2,4,8,2,1,4,1,8,4,
4,1,2,2,2,4,4,4,2,4,4,4,4,4,1,1,4,1,2,4,4,1,1,8,4,4,4,4,2,2,2,2,1,1,2,2,1,2,2,
2,1,2,2,1,2,1,1,1,2,2,1],[1,7,8,15,8,4,4,9,8,2,2,9,18,36,4,6,12,8,4,2,2,8,16,
27,24,4,18,4,4,12,12,15,12,24,8,4,2,18,6,4,9,4,36,2,2,4,12,4,8,4,36,12,18,12,
4,4,4,4,12,4,2,4,9,9,2,12,2,2,1,2,4,2,2,4,12,2,4,1,12,4,2,1,6,2,4,12,4,4,6,2,
4,2,4,4,2,12,12,6,4,4,4,4,4,2,1,8,4,12,12,4,8,1,4,2,4,1,4,2,2,2,4,6,12,12,6,
12,4,6,6,6,1,4,2,6,4,2,4,2,1,4,4,6,4,4,4,4,2,2,6,1,2,2,1,4,9,1,1,12,4,4,4,2,2,
2,4,2,4,4,2,1,4,2,9,2,4,2,4,4,4,2,12,4,2,4,2,2,6,6,6,2,2,6,1,2,1,2,2,2,1,4,4,
2,4,1,1,1,2,2,6,1,4,2,2,1,1,2,1,2,2,1,2,2,1,2,1,2,1,1,1,1,2,1,2,1],[1,5,12,7,
4,16,3,1,3,3,6,8,2,8,2,6,9,6,16,6,8,12,6,7,12,16,2,12,12,8,1,8,2,6,3,8,8,2,8,
8,4,4,12,8,6,4,3,4,6,3,6,4,4,6,1,6,6,6,3,4,1,3,6,4,6,8,6,3,6,3,3,3,6,8,6,6,2,
6,4,6,1,6,6,6,6,3,3,2,2,1,3,2,3,2,4,2,4,3,6,2,2,4,2,3,1,4,3,4,2,2,2,2,6,6,6,6,
4,4,4,4,3,6,4,4,6,6,3,6,6,3,6,6,3,4,3,4,4,4,4,6,6,6,6,2,8,6,3,6,4,6,3,3,1,4,1,
2,2,2,1,2,3,4,2,2,2,1,6,2,2,1,2,2,2,3,2,2,2,2,1,2,2,1,2,2,2,2,2,2,1,1,1,1,2,2,
1,1,1,1],[1,3,15,4,4,13,8,2,9,12,48,4,6,8,8,2,2,15,12,42,4,4,3,16,4,2,30,3,36,
4,12,4,32,12,4,8,8,8,4,2,4,4,3,1,2,1,4,12,4,1,1,2,4,8,8,8,4,8,8,6,4,2,1,4,1,
12,8,2,4,1,4,4,4,4,2,4,4,1,6,6,1,4,4,1,4,4,1,3,2,4,4,4,2,1,1,2,2,2,2,2,1,2,2,
2,2,2,2,1,1,4,1,1],[1,5,12,7,4,4,12,3,24,2,1,3,3,6,12,12,12,2,12,8,8,4,24,9,6,
12,12,6,12,12,6,7,12,12,24,2,8,12,8,12,4,6,1,3,3,2,6,3,12,24,3,12,4,6,12,12,4,
4,3,12,6,6,6,6,3,24,3,1,4,4,4,6,6,3,6,4,6,12,12,6,4,4,4,4,6,1,24,6,1,4,4,6,6,
2,12,6,4,6,2,24,6,12,6,6,6,3,12,4,2,3,3,3,2,4,2,6,2,2,6,6,1,3,2,2,2,4,2,1,4,3,
2,2,4,3,12,6,6,6,2,6,6,3,6,3,8,6,6,4,3,3,6,3,6,4,6,6,3,2,6,6,8,12,3,6,2,2,1,6,
3,6,3,3,2,2,2,1,3,2,2,2,2,2,1,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1],[1,5,12,7,4,12,
20,3,40,6,1,3,3,6,20,12,12,2,12,24,8,4,4,24,9,6,4,24,20,20,6,12,12,6,7,12,12,
24,2,8,12,8,12,12,10,8,1,4,8,4,24,8,3,3,4,2,4,6,3,8,24,24,12,24,4,8,8,12,8,3,
4,8,4,12,4,4,10,20,12,3,4,12,10,6,12,6,6,3,24,3,3,2,2,8,8,6,6,4,5,6,8,8,6,20,
12,6,4,4,4,4,4,6,4,1,24,6,1,4,4,6,6,2,12,6,4,6,2,8,24,8,8,6,12,6,6,6,3,8,12,4,
4,4,4,4,6,4,3,3,4,2,3,6,4,4,4,4,2,4,6,2,6,6,1,3,2,2,2,4,4,2,1,2,8,5,4,8,4,8,2,
4,4,2,2,4,3,2,12,6,6,4,8,4,4,4,4,4,4,4,6,2,4,6,6,3,6,3,8,8,8,6,8,6,4,12,8,3,3,
4,6,8,4,3,6,6,6,3,2,4,4,6,4,6,12,4,4,3,6,2,1,6,2,3,6,4,3,3,1,4,2,2,4,4,2,2,4,
2,2,2,1,4,3,4,4,4,2,2,2,2,2,1,4,1,2,2,2,2,2,2,2,1,1,2,2,1,2,2,1,1,1,1,1,2,1,
1],[1,3,16,7,4,4,5,8,2,1,4,8,4,8,2,16,4,2,10,7,4,4,6,4,4,24,24,8,3,8,8,16,4,2,
2,1,4,4,4,4,2,12,4,4,4,4,4,2,4,8,2,4,4,1,1,4,8,2,4,4,2,4,1,2,2,4,4,4,1,8,5,4,
2,4,8,2,8,8,4,4,4,4,2,2,2,8,8,12,4,2,4,8,4,2,1,4,8,4,2,2,4,1,4,4,2,2,1,4,2,2,
4,2,8,4,4,2,4,4,2,4,4,4,2,4,8,4,1,1,4,1,4,4,4,2,1,4,4,8,2,2,4,4,1,4,4,2,4,2,2,
4,4,2,2,4,8,4,4,4,2,4,4,4,2,4,2,2,4,2,2,1,2,4,2,1,4,1,2,4,4,1,2,4,2,1,4,2,1,2,
1,1,2,1],[1,3,15,4,20,13,8,2,9,12,48,4,8,6,16,8,2,10,15,12,8,42,20,4,8,3,16,4,
10,30,3,36,8,20,8,12,4,32,12,4,8,8,8,24,8,8,8,4,8,4,16,2,4,8,4,4,3,1,4,2,4,1,
4,4,12,8,4,5,5,4,2,4,8,8,16,4,8,24,6,4,8,2,8,1,4,4,4,5,16,4,12,8,4,8,2,4,1,4,
2,2,2,4,4,4,4,2,4,2,4,4,4,8,8,4,1,6,6,1,8,1,4,2,4,8,8,4,4,1,4,3,4,2,8,4,12,4,
4,12,8,2,2,4,1,1,2,4,2,2,2,4,2,1,2,4,8,4,1,1,2,6,2,1,2,2,4,2,4,1,2,2,2,2,2,2,
2,2,2,2,1,1,2,1,1],[1,3,7,4,4,5,8,2,1,4,8,4,2,8,6,6,7,4,6,4,4,16,3,16,4,2,2,1,
4,8,4,4,4,2,4,4,1,1,2,1,4,4,8,1,3,6,4,8,8,8,4,8,2,4,6,3,1,4,2,1,4,4,4,4,4,4,4,
4,4,1,3,1,1,4,1,4,4,4,2,1,1,1,2,2,2,2,1,2,1,2,1,1,1,1],[1,3,7,4,20,5,8,2,1,4,
8,4,8,2,8,4,2,2,7,4,4,6,20,4,8,8,3,16,16,4,10,2,1,4,4,4,4,4,4,8,8,8,8,8,8,8,8,
2,4,8,1,1,2,4,1,2,2,8,5,1,4,4,2,4,8,8,8,8,4,4,8,8,2,4,8,2,1,4,1,8,4,4,1,2,2,2,
4,4,4,2,2,4,4,4,2,4,1,1,1,2,4,4,1,4,1,8,4,4,4,4,2,2,2,2,2,1,1,2,1,2,2,2,2,1,2,
1,2,2,2,1,1,1,1],[1,3,8,7,8,12,12,5,24,6,1,4,8,12,2,4,8,24,8,8,2,2,8,16,7,4,6,
24,12,12,12,4,3,12,24,16,8,12,6,8,2,1,4,24,2,16,2,4,4,4,12,4,4,24,24,4,8,8,12,
4,6,12,4,1,1,6,12,4,2,2,3,4,4,4,16,8,2,4,4,2,3,4,4,2,1,16,16,2,2,12,4,8,8,8,2,
2,4,2,4,4,8,2,8,12,4,2,4,4,4,4,4,8,2,1,8,4,4,4,4,8,1,8,4,4,2,6,2,4,1,6,2,4,4,
2,4,2,4,4,2,2,2,4,4,8,2,4,2,4,2,4,4,4,4,4,4,4,2,3,4,1,1,4,4,4,4,4,8,8,2,4,4,1,
4,4,2,1,2,4,16,2,8,12,4,4,4,2,4,4,4,2,4,8,4,2,8,2,2,2,2,2,2,2,2,4,4,4,2,1,4,4,
4,4,4,1,2,4,1,2,2,2,1,4,4,2,4,1,2,2,2,2,1,2,1,2,1,4,2,1],[1,3,7,4,4,5,8,2,1,4,
8,4,2,4,2,10,7,4,4,6,4,4,16,3,4,2,2,1,4,8,4,4,4,4,4,4,8,8,2,4,4,1,1,4,2,1,2,2,
4,8,1,5,2,4,8,4,2,4,2,1,4,1,4,1,2,2,4,4,4,4,4,4,1,1,4,1,4,4,1,4,1,4,4,2,2,1,1,
2,1,2,1,2,2,1,2,1,1,1,1],[1,5,12,7,4,3,1,3,3,6,2,4,6,10,9,6,4,6,12,6,7,12,2,
12,12,1,4,2,4,6,3,2,4,4,12,6,3,6,3,2,6,2,6,1,6,6,6,3,1,5,6,10,6,3,6,3,3,3,6,6,
6,2,6,4,10,3,6,6,6,6,3,3,2,2,1,3,2,3,3,6,2,2,2,2,3,1,2,5,2,2,2,2,2,2,6,6,6,6,
3,6,6,6,3,6,6,3,6,4,6,3,3,6,6,6,6,2,6,3,6,2,6,3,2,3,1,1,1,2,3,6,2,2,1,2,2,1,2,
3,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,7,12,12,5,24,6,1,4,8,12,2,24,8,8,2,
2,7,4,6,24,12,12,16,3,12,6,8,2,1,4,8,24,4,4,4,24,24,8,8,12,8,6,12,4,1,1,6,12,
3,4,4,8,8,3,1,2,12,8,8,4,8,2,4,8,2,1,1,8,4,6,2,4,1,6,4,4,4,4,2,4,2,4,4,4,3,1,
4,1,4,1,1,12,4,4,4,2,2,2,1,1,2,2,1,2,2,1,2,1,2,2,2,1,1,1,2,2,1],[1,3,7,4,4,5,
8,2,1,4,8,4,2,8,4,2,10,7,4,4,6,4,4,8,3,4,2,2,1,4,4,4,4,4,4,4,8,8,8,2,4,4,1,1,
4,2,1,2,2,4,8,1,5,4,2,4,4,4,2,4,2,1,4,1,4,1,2,2,4,4,2,4,4,2,1,1,4,1,4,1,4,1,4,
4,4,4,2,2,2,1,1,2,1,2,1,2,1,2,1,1,1,1],[1,3,7,12,12,5,24,6,1,4,8,12,2,8,24,8,
8,2,2,7,4,6,24,12,12,8,3,12,6,8,2,1,4,24,4,4,4,24,24,8,8,12,8,8,6,12,4,1,1,6,
12,3,4,4,8,8,3,1,4,2,12,8,4,4,8,2,4,8,2,1,1,8,4,6,2,4,1,6,4,4,4,2,2,4,2,4,4,2,
3,1,4,1,4,4,1,1,12,4,4,4,2,2,2,2,1,1,2,1,2,2,1,2,1,2,2,2,2,1,2,1,1,1],[1,5,24,
11,8,4,12,15,24,2,1,3,27,30,12,12,24,2,4,24,12,2,6,8,48,21,10,42,12,12,36,12,
72,12,7,24,24,24,12,72,24,4,6,6,5,15,36,12,6,6,6,36,4,12,2,18,3,36,24,3,12,12,
12,24,4,6,12,3,72,4,6,12,12,6,1,3,24,6,6,12,12,6,24,6,6,1,12,30,6,2,12,12,12,
6,3,12,12,2,3,12,6,2,6,12,12,12,6,12,12,6,2,12,12,2,6,6,6,48,12,12,2,36,36,12,
4,48,6,4,12,24,12,8,12,12,4,48,6,12,1,12,24,12,12,12,12,12,6,24,6,4,3,6,12,6,
6,6,1,12,12,3,2,3,12,12,2,6,6,12,6,12,12,12,6,8,12,2,6,12,12,6,6,6,12,12,12,2,
6,4,12,6,12,2,3,12,6,12,6,12,12,12,12,12,12,12,12,12,4,6,12,12,6,1,12,36,3,12,
12,3,12,12,12,3,12,12,12,12,12,12,12,12,12,6,12,12,12,6,12,6,12,4,12,3,12,12,
12,6,6,12,12,6,12,12,12,12,12,2,3,12,6,12,12,12,12,6,12,12,12,6,6,6,6,4,12,12,
12,12,6,6,12,12,12,6,12,12,12,12,12,12,12,6,12,12,6,12,12,12,12,12,12,24,12,6,
6,6,12,12,12,6,4,1,4,12,6,6,12,12,6,12,12,1,12,6,4,1,6,6,12,12,12,12,12,12,6,
6,6,6,3,6,12,12,6,12,12,12,12,12,2,6,6,6,12,12,6,12,6,3,12,12,6,12,4,2,12,12,
6,12,12,12,12,2,12,12,12,3,6,3,3,2,12,6,6,6,3,2,2,3,4,6,12,1,6,2,6,12,3,6,3,2,
2,1,4,12,4,1],[1,3,15,12,12,13,24,6,9,12,48,12,6,24,8,24,8,6,6,15,12,42,24,12,
12,3,12,6,8,30,3,36,24,12,12,4,32,12,12,24,24,24,24,12,4,6,12,12,3,1,6,12,3,
12,12,12,8,3,3,6,12,24,12,24,6,12,8,6,3,4,3,12,24,12,6,6,12,3,6,12,12,6,12,6,
6,12,12,3,6,6,3,3,12,3,3,4,6,12,12,12,4,12,6,3,1,6,3,6,6,2,1,6,3,6,6,1,6,3,6,
6,6,6,3,3,3,1],[1,2,8,9,4,16,4,12,4,2,12,8,8,8,2,8,4,6,2,4,6,6,4,4,10,4,12,4,
12,1,12,8,2,2,4,8,4,4,2,2,4,4,2,2,4,4,4,4,8,4,8,4,4,8,4,4,6,4,8,2,2,2,1,4,2,4,
2,1,4,1,4,4,4,4,4,2,4,6,6,2,2,4,8,4,8,8,2,2,2,1,4,2,4,1,2,2,4,2,2,2,4,2,2,2,1,
2,2,1,1,4,2,4,1,4,4,4,4,4,2,2,2,2,4,4,4,4,4,2,2,1,2,1,1,1,2,1,2,2,1,2,2,2,2,2,
1,2,1,2,2,1,1,1,1,1,1,1,1],[1,5,12,11,4,15,1,3,27,30,2,6,12,12,21,10,4,42,18,
36,18,7,12,6,36,12,6,5,15,36,18,3,18,12,2,2,12,18,3,18,24,3,6,18,3,36,12,1,3,
6,2,12,30,6,18,18,6,3,6,9,1,18,18,6,2,24,6,4,6,6,6,6,6,6,6,6,3,6,12,6,6,3,6,6,
3,3,1,3,1,6,6,4,6,3,3,9,1,4,6,6,1,18,12,6,6,6,6,6,6,6,6,6,2,3,3,3,6,18,6,3,6,
9,2,3,3,2,1,6,6,3,1,3,3,3,3,1,3,6,3,3,3,3,6,2,3,3,1,3,1,1,3,3,3,1],[1,3,12,3,
4,4,4,9,8,2,1,12,4,4,2,12,12,4,4,4,8,3,4,12,4,4,6,20,6,3,4,4,2,8,20,8,4,4,2,6,
4,3,1,4,4,4,1,4,4,8,1,4,8,4,1,8,2,4,2,4,1,4,4,2,2,2,3,1,1,2,4,4,6,6,2,4,2,2,1,
2,2,4,4,6,2,4,4,4,4,4,2,4,1,2,2,2,4,6,1,4,4,2,2,4,2,8,4,4,2,2,4,2,4,2,4,2,4,2,
2,1,4,2,4,4,4,2,1,1,2,2,1,4,2,2,4,4,4,2,2,2,2,2,2,2,1,1,4,3,2,2,2,2,2,4,2,2,2,
2,1,4,4,2,2,2,4,2,2,2,1,2,2,2,2,4,2,4,1,2,2,1,2,4,2,2,2,2,4,2,2,4,2,2,4,1,1,2,
2,4,4,1,2,2,2,1,2,2,2,2,4,2,1,2,2,2,1,2,1,1,2,1,1,2,2,2,1,1,2,2,2,2,2,2,2,1,1,
2,2,2,2,2,2,2,2,1,2,1,2,1,1,1,1,1,1,1,1],[1,9,12,27,4,27,3,27,81,162,18,6,36,
81,54,162,18,36,18,27,12,6,36,12,162,27,81,324,18,3,18,6,18,162,27,18,216,81,
18,18,27,36,27,27,18,162,18,18,18,3,18,9,1,18,18,18,6,24,54,4,18,18,18,18,18,
36,162,9,18,18,18,9,18,18,9,9,3,9,18,18,54,18,27,9,3,6,18,27,3,18,81,162,18,6,
18,18,18,18,18,18,18,81,3,3,18,18,9,18,9,9,9,9,6,27,18,27,18,9,3,9,1,6,9,9,9,
9,1,9,18,3,9,18,6,1,3,3,3,3,9,9,1],[1,3,8,7,8,4,4,5,8,2,1,4,8,4,2,4,8,8,6,6,8,
16,7,4,6,4,4,12,4,3,12,24,8,4,2,2,1,4,2,2,4,4,4,12,4,4,4,4,8,2,4,4,1,1,2,4,2,
2,1,4,4,4,2,4,4,2,1,4,4,2,3,2,6,4,4,2,2,4,2,4,4,2,12,4,2,4,4,4,4,4,6,3,8,4,4,
4,4,8,1,4,4,2,2,1,2,4,4,2,4,2,4,4,2,2,4,4,2,4,2,4,4,4,4,4,4,4,2,1,4,3,4,1,4,4,
4,4,2,4,4,1,4,2,1,2,4,4,2,4,4,4,4,2,4,4,2,4,4,2,2,2,4,2,2,2,1,2,4,4,4,4,1,4,2,
1,4,2,2,4,2,1,2,2,2,4,1,1,1,1,2,2,1],[1,5,11,4,12,15,24,2,1,3,27,30,12,12,2,8,
12,2,6,21,10,42,12,12,12,24,7,24,4,6,6,5,15,36,24,12,2,18,3,24,3,12,12,24,24,
3,4,6,12,12,6,1,3,6,6,24,1,30,6,24,24,3,3,6,4,6,12,12,12,12,12,6,4,6,12,1,4,3,
6,1,3,3,2,12,12,12,6,6,6,6,2,4,6,3,12,12,12,2,12,12,8,6,1,3,12,3,12,3,12,6,3,
2,3,6,24,12,1,4,6,1,1,3,3,12,6,3,3,4,6,1,3,12,3,3,3,2,1,3,6,1],[1,3,12,3,4,8,
9,1,12,4,8,2,12,4,2,2,16,3,4,12,8,6,4,20,6,3,4,8,8,2,20,4,4,6,4,2,4,4,4,1,4,4,
2,2,4,4,4,1,8,4,4,1,2,2,4,2,3,2,2,4,6,6,1,2,2,2,3,2,4,1,1,2,2,2,4,6,1,2,4,8,4,
1,1,1,8,2,2,2,4,2,8,2,4,4,4,8,2,4,1,2,6,2,4,2,4,2,1,3,2,2,2,4,2,2,1,1,4,2,1,4,
4,4,4,4,4,2,2,2,2,2,1,2,4,1,2,2,2,2,2,4,2,4,1,2,2,1,2,2,2,2,2,2,2,2,2,1,4,2,1,
2,2,2,2,2,2,1,2,2,2,1,2,2,4,1,2,4,2,4,2,2,2,2,2,2,4,2,2,2,2,1,4,2,2,2,2,1,2,1,
2,2,2,1,1,2,2,2,2,1,1,2,2,2,2,1,2,2,2,1,2,1,2,2,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[
1,2,9,8,8,12,4,12,2,4,2,12,8,8,2,4,4,10,2,8,4,6,2,4,8,6,4,4,8,1,12,12,8,6,4,4,
4,4,8,4,4,2,2,4,4,4,4,8,4,8,8,4,8,4,6,4,4,2,2,2,1,4,4,4,1,4,2,8,2,2,2,2,4,4,4,
6,2,4,2,2,4,2,4,4,4,4,1,8,8,2,4,4,2,2,2,1,4,1,2,1,2,4,2,2,2,2,4,4,2,1,2,1,2,2,
1,4,2,1,2,2,2,4,4,2,4,2,4,4,4,4,4,4,2,2,1,1,1,2,1,2,2,2,2,2,2,1,2,2,1,1,2,1,1,
1,1,1,1,1,1],[1,3,16,7,12,12,5,24,6,1,4,8,12,8,2,16,24,8,8,2,2,7,4,6,24,12,12,
24,24,8,3,8,8,16,12,6,8,2,1,16,4,4,24,4,4,2,12,4,4,16,4,24,24,8,8,12,2,6,12,4,
1,1,8,6,12,4,4,2,4,3,4,4,8,4,4,3,8,1,4,2,12,8,2,8,8,4,8,4,4,4,2,2,2,8,8,8,12,
4,2,4,8,4,8,2,16,1,4,8,4,2,16,2,1,8,4,4,6,2,4,2,2,1,4,6,4,4,2,4,4,2,4,2,4,4,2,
2,4,4,2,4,8,4,3,1,16,4,4,8,1,4,4,4,2,8,8,8,8,1,8,2,2,4,4,1,4,4,2,4,2,2,12,4,2,
2,4,4,4,4,2,4,4,4,4,4,8,4,2,4,4,4,2,2,2,2,2,4,4,2,4,2,1,4,4,1,2,1,4,1,4,2,2,2,
1,2,4,2,2,2,1,4,2,1,2,1,2,1],[1,3,12,3,4,24,9,1,12,12,8,2,4,6,6,16,3,12,24,6,
12,20,6,3,4,8,24,2,20,4,12,6,4,2,4,1,4,4,24,24,2,2,4,4,4,1,8,12,1,6,2,4,2,3,2,
6,1,2,2,2,3,6,4,1,3,2,6,6,12,6,1,2,4,24,12,1,1,1,8,2,2,2,4,2,8,2,4,4,4,8,6,12,
3,2,6,2,4,2,4,2,1,3,2,2,4,2,3,1,4,2,1,6,4,4,4,6,4,2,6,6,2,2,1,2,4,1,2,2,2,2,2,
12,2,4,1,2,2,3,4,2,2,2,2,2,2,2,4,4,2,4,4,1,4,6,1,2,2,2,2,2,2,1,2,4,2,2,1,2,2,
4,4,1,4,6,12,2,4,2,12,2,2,2,2,2,4,2,2,2,2,1,2,2,1,2,1,2,2,2,1,2,2,2,4,4,2,1,2,
1,1,2,2,3,2,2,2,1,2,2,2,3,2,2,2,2,2,2,1,2,2,1,2,2,2,2,1,2,1,2,2,1,1,2,1,1,1,
1],[1,1,12,9,9,2,2,9,18,6,9,6,9,18,2,2,12,4,6,6,6,6,9,9,9,1,6,6,2,6,2,6,6,12,
6,9,1,1,1,4,6,6,1,2,1,2,2,2,1,1,1,1,1],[1,1,12,21,9,2,2,9,18,18,9,6,9,18,6,18,
2,2,12,4,6,10,12,6,6,18,9,9,9,18,1,12,12,6,2,2,6,6,6,6,12,6,9,1,1,1,4,4,6,6,2,
1,1,2,2,2,1,2,2,1,2,1,2,1,1],[1,4,3,6,18,5,8,18,1,3,9,18,18,3,18,3,8,8,3,6,2,
24,1,6,9,9,18,4,6,6,6,3,3,6,1,1,12,1,2,3,3,4,8,2,3,2,1,1,6,3,6,4,1,1,3,1,2,
1],[1,4,3,5,8,1,9,3,3,3,8,8,3,1,9,9,4,12,3,3,1,1,1,2,3,3,4,2,1,1,3,3,4,1,1,3,
1,1],[1,1,6,6,9,9,2,2,9,9,18,6,9,18,6,2,2,2,6,2,6,6,6,6,6,9,9,9,1,6,6,6,2,6,6,
6,6,6,2,9,1,2,1,1,2,6,6,1,2,2,2,1,1,2,1,1,1,1],[1,1,6,6,21,9,2,2,9,9,18,18,9,
18,6,6,18,2,2,2,6,2,6,6,10,12,6,6,9,18,18,9,9,1,12,12,6,2,6,6,6,6,6,6,6,2,9,1,
2,1,1,2,4,6,6,2,1,2,2,2,1,1,2,2,2,1,2,1,1,1],[1,3,9,27,5,8,1,18,9,3,18,9,9,9,
3,3,21,5,18,24,9,3,9,9,9,9,3,4,6,3,18,3,3,3,3,1,3,1,2,9,4,8,1,3,6,3,3,3,3,1,3,
3,3,1,4,3,3,1,1,1,1],[1,3,21,27,2,2,1,6,18,27,27,6,18,6,6,18,10,12,18,6,6,18,
9,9,9,1,18,12,12,18,6,18,2,18,2,6,2,2,9,3,3,1,4,6,6,2,6,6,6,6,6,2,3,1,2,3,2,2,
6,2,1,1,1,2,1],[1,6,9,24,16,2,6,18,9,24,6,9,16,8,12,10,8,12,1,6,8,1,1,2,1],[1,
3,18,6,9,27,2,2,1,27,27,9,54,27,27,18,27,18,6,6,2,18,6,18,6,6,18,6,9,54,27,6,
27,1,18,18,6,18,18,2,18,18,18,18,2,18,18,6,6,18,9,3,2,3,1,6,6,2,6,18,18,18,18,
6,3,6,6,3,1,3,1,3,6,3,6,1,6,2,3,3,1],[1,4,3,5,8,1,6,3,6,3,8,8,3,1,3,3,4,6,6,3,
1,4,1,2,3,3,4,2,1,3,1,3,4,1,3,1,1,1],[1,6,9,5,8,2,6,18,9,24,18,9,6,9,4,18,6,1,
6,2,8,9,1,12,6,3,6,9,4,1,1,1,2,3,1],[1,6,9,8,32,2,6,18,9,24,6,9,16,2,8,16,24,
1,6,8,2,2,1],[1,4,3,36,5,8,1,18,3,18,18,3,18,8,8,3,36,48,18,1,18,9,9,4,6,18,6,
24,6,3,1,1,2,3,9,4,8,6,12,6,2,1,1,6,3,3,4,1,6,3,3,2,1,1],[1,3,3,9,4,4,32,1,9,
1,6,9,9,12,12,3,9,3,16,8,24,4,1,8,4,1,1,3,3,4,4,2,1,1,1],[1,4,3,12,5,8,6,1,3,
6,3,12,8,8,3,8,12,6,1,3,3,6,4,6,6,3,4,1,12,1,2,3,3,4,8,6,2,1,3,1,6,3,2,4,1,3,
1,1,2,1],[1,6,9,1,16,32,2,6,18,9,6,9,6,9,16,16,18,6,2,24,8,12,9,1,6,9,12,8,2,
1,1,1],[1,6,9,4,4,32,2,6,18,9,12,12,6,9,16,16,1,4,24,1,4,1,3,3,4,4,1,2,1,1],[
1,4,3,18,18,5,8,18,1,9,3,9,9,18,3,9,8,8,3,18,18,24,24,9,9,1,9,9,9,9,4,18,3,3,
3,6,3,1,24,3,1,2,3,9,4,4,4,3,3,3,6,3,6,2,1,3,1,3,3,3,4,1,6,3,3,1,1,1,1],[1,3,
27,9,5,8,1,12,18,9,9,12,18,3,3,23,18,24,12,18,9,3,9,4,3,18,6,3,3,3,1,3,3,1,2,
9,4,8,1,6,3,3,3,3,4,3,3,3,1,4,3,3,1,1,1,1],[1,9,6,16,24,3,18,3,2,9,24,9,6,16,
10,12,8,8,12,1,6,8,1,1,2,1],[1,3,9,27,2,2,1,27,27,18,18,6,6,18,6,18,6,9,9,9,1,
18,18,18,18,2,2,9,3,3,1,6,6,3,2,1,2,3,1,1,1,1],[1,3,10,6,1,4,8,3,1,3,3,12,9,8,
4,10,3,4,6,4,3,3,3,1,3,3,3,4,3,3,3,9,1,2,1,4,12,3,4,4,4,1,3,3,3,3,3,3,2,1,1,1,
4,1,1,3,1,1,1,1],[1,3,12,4,3,9,4,1,8,1,9,9,3,18,9,9,12,9,12,3,8,1,3,3,16,1,12,
3,1,3,18,9,4,9,4,2,3,3,1,3,3,3,3,3,1,3,3,1,3,3,12,3,4,4,4,4,1,1,3,2,3,3,3,3,1,
4,1,1,3,1,1,1,1],[1,9,3,6,4,9,9,18,3,9,9,3,3,4,6,6,3,9,6,3,9,1,1,2,1,3,1,1],[
1,12,3,12,12,4,16,1,3,3,24,6,6,12,12,6,24,6,16,16,16,6,6,6,6,6,6,1,3,6,3,3,6,
3,3,6,6,6,6,3,6,6,6,6,6,6,4,16,6,3,3,3,6,6,6,6,6,3,6,6,1,6,3,3,6,4,4,4,1,3,3,
3,3,3,3,4,1,3,1,1,1,1],[1,5,7,24,3,4,1,3,3,6,12,30,12,9,6,2,24,12,7,24,12,8,4,
16,1,12,6,2,6,6,3,12,12,12,6,18,3,6,1,18,15,6,6,6,6,12,12,8,8,8,8,8,1,4,9,3,3,
3,6,6,6,6,6,6,2,1,6,6,6,6,6,12,1,2,4,4,4,4,1,3,3,3,3,3,3,2,2,2,2,1,4,2,3,1,1,
1,1],[1,7,8,15,9,16,2,9,18,36,6,27,24,18,12,12,12,15,4,16,32,18,6,9,36,6,2,6,
8,36,18,9,9,6,12,12,6,6,6,6,6,6,6,8,12,16,6,6,6,3,6,6,6,3,6,1,9,6,9,1,3,6,12,
8,8,3,2,3,1,3,3,4,1,1,2,1,1],[1,3,3,24,9,16,1,12,12,4,6,6,3,12,24,12,3,24,12,
48,6,1,24,24,1,12,1,6,6,6,3,6,6,12,24,12,6,12,3,4,16,3,6,6,6,6,1,12,3,6,4,6,
12,12,4,4,4,4,4,1,3,3,4,1,1,1,1,1,1],[1,3,3,9,16,1,12,18,4,3,6,12,3,48,6,6,6,
1,1,6,1,3,6,6,9,4,16,3,3,6,1,6,6,6,4,4,4,1,3,3,4,1,1,1],[1,5,7,12,12,3,4,24,6,
1,3,3,6,12,18,6,6,9,6,14,12,12,7,12,6,8,4,8,8,1,6,6,18,2,18,6,3,6,12,24,6,6,6,
12,6,3,12,6,3,7,6,9,6,3,3,6,12,6,6,6,3,8,8,4,4,8,4,1,4,4,12,12,6,3,6,6,3,9,6,
6,6,3,6,2,3,1,3,3,3,3,6,6,6,3,3,3,12,6,1,4,8,2,8,2,4,4,2,1,6,3,6,3,3,6,6,3,3,
3,1,4,1,2,1,2,2,1,1,3,2,1,1,2,1,1],[1,5,11,15,4,1,3,27,30,2,12,12,21,10,4,42,
7,8,20,6,5,15,36,12,2,12,18,3,24,3,3,12,1,3,2,12,30,6,6,16,16,8,1,4,6,6,6,12,
1,4,3,3,4,1,12,6,2,3,6,5,2,4,8,2,3,1,3,6,2,4,4,4,1,1,2,1,1],[1,6,9,4,1,2,2,6,
2,18,4,9,24,4,6,9,4,4,6,12,9,1,2,4,12,4,1,2,4,8,2,18,6,4,2,9,1,2,1,1,6,2,6,4,
4,1,1,6,9,4,2,4,4,1,3,3,2,2,1,1,2,1,2,3,1,1,1,1],[1,5,7,48,3,4,1,3,3,6,24,24,
2,6,9,6,48,24,7,48,24,8,4,32,1,24,2,6,3,24,24,24,24,24,6,12,3,12,12,12,6,12,3,
12,6,24,24,6,1,8,16,16,16,1,4,6,6,3,2,6,12,6,12,12,1,12,3,6,12,12,12,12,24,12,
1,16,2,4,8,8,1,12,3,12,3,6,6,4,4,2,4,1,4,3,1,2,4,1],[1,7,15,12,12,9,16,24,6,2,
9,18,36,12,6,12,6,6,27,24,12,18,12,12,15,12,6,16,16,16,18,6,12,9,12,36,12,12,
8,12,36,18,12,12,12,12,6,12,9,9,6,3,6,6,12,3,3,6,12,12,12,12,6,12,6,3,16,8,12,
3,12,3,12,6,6,12,3,6,6,3,12,12,6,6,1,6,6,3,9,3,3,12,6,6,6,6,3,9,12,8,8,8,4,4,
6,3,3,6,3,3,3,1,3,6,6,8,4,1,3,1,1,1,1],[1,3,30,3,10,6,18,9,4,3,1,9,18,18,36,1,
3,36,6,3,9,12,72,9,9,18,27,18,54,9,30,36,9,54,30,9,12,4,12,12,4,12,4,3,3,9,9,
18,3,9,18,9,9,18,3,9,54,6,9,9,36,9,9,3,18,9,9,9,9,9,9,9,9,9,9,1,9,9,9,72,9,9,
3,27,27,9,24,3,3,9,36,9,10,18,9,3,72,9,36,9,9,9,36,12,12,12,12,12,12,12,4,1,
12,12,4,12,12,9,9,9,3,12,18,9,3,9,9,9,9,9,9,9,9,3,9,18,9,9,9,9,9,9,9,9,18,9,9,
9,9,9,9,1,9,9,9,9,3,3,3,9,9,9,9,9,9,9,9,9,9,36,9,3,4,4,3,3,1,12,12,12,12,1,1,
3,4,3,3,9,9,9,3,9,9,9,3,3,9,1,9,3,4,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,3,3,1,1,3,
1],[1,5,11,24,15,4,1,3,27,30,12,2,18,12,6,6,21,10,6,42,24,12,7,24,12,8,20,16,
6,5,12,15,36,6,2,6,18,3,24,3,24,12,3,12,12,6,1,3,6,3,6,30,9,6,3,6,6,12,12,24,
12,24,6,6,12,3,8,8,8,4,16,8,1,4,4,12,6,6,3,3,3,3,6,6,6,6,4,3,6,6,12,9,1,6,3,
12,3,3,6,6,6,6,2,3,6,6,6,12,8,5,8,2,4,4,4,4,6,6,1,6,3,6,3,3,3,3,3,2,2,2,1,1,4,
4,1,2,3,2,1,1,2,1,1],[1,7,15,24,9,16,2,9,18,36,12,6,24,12,27,24,18,24,12,15,
24,12,16,32,18,6,24,9,36,24,8,36,18,24,24,12,6,12,9,9,6,12,12,6,6,6,6,12,12,
24,6,12,16,8,12,6,6,3,3,12,12,6,6,12,12,6,1,12,12,9,12,12,9,6,6,12,12,12,16,8,
8,12,3,6,3,1,6,6,6,8,4,1,3,2,1,1],[1,6,16,9,12,16,6,2,6,24,6,18,12,24,24,9,12,
16,16,16,12,4,6,6,9,6,6,3,6,6,12,24,24,12,12,12,3,12,8,12,16,6,3,6,12,12,3,6,
12,1,6,12,8,4,12,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,4,5,20,24,6,4,24,6,1,9,6,12,12,
12,18,6,6,4,10,6,24,12,12,12,3,24,16,12,4,8,12,12,8,2,9,3,9,6,12,6,1,6,3,12,
12,12,6,12,9,6,18,18,6,6,12,3,3,2,6,6,6,6,12,12,3,3,6,3,7,3,6,6,15,9,18,6,8,4,
8,8,4,4,4,4,8,4,1,4,3,3,1,6,3,6,3,6,6,3,3,6,3,3,3,3,3,3,3,3,1,3,3,1,3,6,6,3,3,
6,3,3,3,6,6,3,6,6,6,6,12,3,4,4,2,4,1,3,4,4,3,4,4,2,3,3,3,3,1,3,3,3,3,3,3,3,3,
3,3,1,1,2,1,2,1,2,1,4,1,1,2,3,1,1,1,1,1,1,1,1],[1,4,5,8,36,6,4,24,1,9,6,12,12,
24,12,18,6,6,4,10,6,12,24,12,12,3,24,4,6,4,8,20,4,8,2,15,3,3,6,12,6,1,6,3,12,
12,6,12,3,6,6,6,12,18,6,12,9,9,2,6,6,6,6,12,3,6,3,1,3,6,6,9,15,12,18,18,3,8,8,
4,8,4,4,4,4,8,1,4,4,3,3,1,6,3,6,6,3,6,3,6,3,3,3,3,3,6,3,3,3,3,1,3,3,1,3,3,12,
6,6,3,3,6,3,3,6,6,3,3,6,6,6,4,4,2,1,4,5,4,4,1,4,4,2,3,3,3,3,1,3,3,3,3,3,3,3,3,
3,3,1,1,2,2,2,1,1,1,4,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,12,1,4,24,3,4,1,3,12,12,1,
3,3,12,6,12,12,12,2,12,12,16,4,16,1,12,6,6,6,6,12,3,6,1,6,3,3,6,3,3,12,6,6,4,
4,8,8,1,1,3,3,3,3,2,6,6,6,6,6,6,3,6,3,4,4,1,4,4,4,3,3,3,3,3,1,3,1,2,4,2,3,1,1,
1,1],[1,5,11,4,12,15,4,24,2,1,3,27,30,12,12,2,12,2,6,21,10,42,12,12,12,7,24,4,
6,8,20,16,6,5,15,36,12,2,18,3,24,3,12,12,24,3,4,6,12,12,6,1,3,6,6,24,1,30,6,3,
3,6,6,12,12,12,12,6,4,6,12,1,8,8,16,8,1,16,4,4,3,6,1,3,3,2,12,6,6,6,2,4,6,3,
12,12,12,12,6,1,3,12,3,12,3,12,6,3,2,3,6,5,16,2,4,4,4,4,1,4,1,1,3,3,12,3,3,2,
2,2,4,4,4,1,1,1,1,1,4,1],[1,12,3,12,6,6,4,16,12,3,1,12,6,2,6,12,6,6,6,12,6,12,
24,12,3,2,16,16,16,12,6,12,3,6,6,6,6,1,3,3,3,12,3,6,6,6,6,6,6,6,3,6,6,6,12,6,
6,6,4,8,8,16,6,3,3,3,6,6,6,6,6,6,6,6,3,6,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,4,1,3,
1,1,1,1],[1,5,7,12,12,3,4,24,6,1,3,3,6,12,18,2,18,9,6,6,12,12,7,12,6,8,4,8,8,
1,6,6,6,2,6,6,3,6,6,6,6,12,12,6,3,6,3,3,6,9,12,6,3,9,6,12,6,6,6,1,8,8,4,8,8,4,
1,4,6,3,6,6,3,6,6,2,3,6,1,3,6,3,3,6,3,3,6,6,12,1,4,2,4,2,2,4,1,3,3,3,3,3,3,1,
1,2,2,2,2,1,4,3,1,1,1,1],[1,3,18,3,6,2,6,9,4,1,1,9,6,6,12,1,1,12,6,1,3,4,24,9,
9,6,21,6,42,3,18,12,7,42,18,3,24,12,8,3,3,3,3,18,1,3,18,3,3,6,1,3,42,2,3,3,12,
3,9,1,6,3,3,3,3,3,3,3,3,3,3,1,3,3,3,24,3,3,1,21,21,3,24,3,1,3,12,3,6,6,3,1,24,
3,12,3,3,3,12,4,4,4,28,4,1,16,3,3,3,1,4,6,3,1,3,3,3,3,3,3,3,3,1,3,18,3,3,3,3,
3,7,3,3,6,3,3,3,3,3,3,1,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,12,3,4,6,4,3,4,4,4,
4,4,2,1,1,3,3,3,1,3,3,3,1,1,3,1,3,1,1,1,1,7,1,4,4,1,1,1,1,1,1,1,1,1],[1,9,27,
27,16,3,27,81,162,18,36,81,54,162,27,48,162,27,81,324,18,162,27,216,81,27,27,
27,162,54,8,16,12,36,162,54,27,27,3,81,162,18,81,36,24,27,27,9,12,1,8,1,3,1],[
1,7,15,12,12,9,4,24,6,2,9,18,36,12,6,12,6,6,27,24,12,18,12,12,15,12,6,16,12,8,
8,18,6,12,9,12,36,12,12,8,12,36,18,12,12,12,12,6,12,9,9,6,3,6,6,12,3,3,6,12,
12,12,12,6,12,6,3,8,4,4,12,8,4,1,4,4,12,3,12,3,12,6,6,12,3,6,6,3,12,12,6,6,1,
6,6,3,9,3,3,12,6,6,6,6,3,9,4,4,3,4,4,4,4,4,2,4,2,6,3,3,6,3,3,3,1,3,6,6,1,1,1,
2,1,2,4,1,3,3,3,1,1,1,1,1,1,1,1],[1,6,12,9,4,12,16,2,6,6,12,6,24,18,12,18,18,
9,6,6,16,16,16,12,3,6,12,6,12,9,6,6,6,3,18,6,3,3,18,9,1,6,6,6,6,6,6,16,8,12,3,
9,9,3,6,6,3,3,6,6,6,1,6,6,6,8,12,4,4,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,5,7,4,12,
3,4,24,2,1,3,3,6,12,12,24,24,9,6,12,12,12,7,24,4,6,8,4,16,1,2,6,3,12,24,4,6,
12,12,12,12,3,6,6,24,1,12,12,12,3,12,6,12,12,8,16,1,16,4,4,6,3,6,6,6,2,6,1,12,
3,12,12,12,24,1,2,4,8,4,1,6,3,6,3,4,2,4,4,1,3,1,2,1],[1,5,11,12,12,15,4,24,6,
1,3,27,30,12,2,18,12,12,21,10,6,42,12,12,7,12,6,8,20,8,8,6,5,6,15,6,36,6,2,6,
18,3,24,3,24,18,12,6,3,6,6,12,6,6,1,3,6,3,3,6,30,9,6,6,3,6,12,18,6,12,12,6,12,
8,4,8,16,8,4,8,1,4,6,12,3,6,6,6,3,3,9,6,4,3,6,12,6,1,3,6,3,12,6,6,6,6,3,3,6,2,
3,6,6,12,6,8,5,8,4,2,2,4,2,4,6,6,3,1,3,6,6,3,3,3,3,1,2,1,2,2,4,2,4,1,3,2,2,1,
1,1,1],[1,3,3,12,12,9,16,24,6,1,12,12,24,8,4,12,3,12,24,12,12,3,12,6,8,48,6,
24,1,24,24,24,12,1,6,12,6,1,6,12,3,6,6,8,3,6,12,12,8,12,4,16,8,8,6,6,3,6,1,12,
6,3,6,6,12,12,4,8,4,8,4,4,4,4,1,3,3,4,1,1,1,1,1,1],[1,7,4,15,4,9,16,2,9,18,36,
6,6,27,24,18,6,6,15,6,12,4,16,16,16,18,6,9,36,1,6,8,36,6,18,6,6,9,9,6,6,6,3,6,
3,1,6,6,6,6,6,8,12,16,3,6,6,3,6,3,3,3,6,3,6,1,9,6,9,1,6,3,12,8,4,4,3,3,3,1,1,
1,3,4,1,1,1,1,1,1],[1,5,7,3,4,1,3,3,6,2,6,9,6,7,8,4,1,2,6,3,12,12,6,3,6,3,6,6,
1,8,1,4,3,2,6,6,1,3,6,6,6,6,6,1,2,4,8,1,6,3,3,6,2,4,1,3,1,2,1],[1,3,12,15,12,
13,16,9,12,48,6,6,8,15,12,42,18,30,3,18,36,12,16,16,16,30,3,36,12,3,6,12,4,18,
32,12,6,6,4,3,1,6,12,6,12,6,3,6,15,3,18,12,6,6,12,12,12,30,30,8,12,16,4,12,3,
6,12,18,3,6,6,6,3,15,12,6,6,6,6,12,12,12,3,3,6,6,3,12,4,4,4,4,4,8,4,6,1,3,3,6,
3,6,3,6,6,1,4,4,4,3,1,1,1,1],[1,6,9,16,36,1,36,2,2,6,12,18,2,18,10,24,18,36,
36,9,36,10,12,6,9,12,4,4,18,10,12,6,18,12,12,18,36,24,12,12,12,12,18,12,18,18,
18,9,12,36,1,2,4,4,1,4,2,12,12,4,8,12,4,6,2,6,18,12,2,6,2,4,2,9,6,6,6,6,1,2,3,
3,6,6,1,3,18,18,6,18,1,12,3,18,2,12,6,12,12,4,6,4,6,6,4,12,6,4,4,1,4,1,2,6,4,
9,12,4,4,2,4,6,4,4,6,4,4,6,1,6,6,6,3,6,6,6,3,2,2,2,2,2,1,4,1,1,2,6,2,6,4,2,1,
6,4,1,1,4,6,1,2,2,3,2,1,1,2,2,2,2,2,1,1],[1,5,7,28,36,3,4,72,14,1,3,3,6,36,12,
72,24,12,9,6,12,72,36,36,12,7,24,28,18,24,8,4,16,16,16,1,12,12,72,12,2,12,6,3,
72,72,12,24,12,24,24,36,24,12,24,12,12,4,18,36,12,3,12,18,6,36,24,7,6,6,24,12,
9,6,36,12,12,12,24,24,16,16,32,16,8,8,16,8,1,16,4,12,12,4,12,12,18,12,12,6,3,
18,12,6,2,6,12,1,6,24,9,12,24,12,12,6,6,12,24,12,12,12,24,24,36,24,12,24,12,1,
8,2,4,4,16,4,16,16,4,1,12,3,12,12,3,12,12,12,6,6,2,4,2,4,2,8,4,4,4,4,1,3,1,4,
4,4,2,1],[1,5,12,7,4,4,12,3,4,24,2,1,3,3,6,12,12,12,2,12,4,24,9,6,12,12,6,12,
12,6,7,12,12,24,2,12,12,4,6,8,16,4,16,1,3,3,2,6,3,12,24,3,12,4,6,12,12,3,12,6,
6,6,6,3,24,3,1,6,6,3,6,6,12,12,6,6,1,24,6,1,6,6,2,12,6,4,6,2,24,6,12,6,6,6,3,
12,8,8,8,1,16,4,16,4,3,3,3,4,6,2,6,6,1,3,2,1,3,2,3,12,6,6,6,6,6,3,6,3,6,6,3,3,
6,3,6,6,6,3,6,6,12,3,6,4,1,4,8,2,8,4,4,4,2,1,6,3,6,3,3,3,1,1,2,2,2,2,4,4,1,4,
1,1,1,2,1,2,1],[1,5,7,12,36,3,4,24,6,1,3,3,6,12,12,24,9,6,8,36,12,12,7,24,12,
18,8,4,24,8,1,18,6,12,2,12,6,3,6,12,12,12,12,18,6,6,12,12,12,3,6,6,3,4,12,12,
6,9,6,12,12,6,6,12,12,8,8,8,8,12,8,4,1,4,6,6,6,6,6,6,3,6,6,6,6,6,6,6,6,3,6,6,
6,2,1,9,3,6,6,3,3,6,6,12,6,1,4,2,6,4,2,8,8,4,1,6,6,6,3,6,3,3,3,3,3,4,2,1,3,2,
2,2,1,2,3,2,1,2,1,1,1],[1,5,7,3,4,1,3,3,6,24,6,18,9,6,8,7,8,4,1,12,2,12,6,3,6,
12,3,4,12,12,6,9,6,6,3,8,12,1,4,4,6,3,6,3,6,6,2,3,1,9,3,6,3,6,12,1,2,4,4,4,1,
3,3,3,3,3,3,3,4,2,1,1,3,1,1,1,1],[1,5,7,3,4,1,3,3,6,12,14,18,9,6,12,7,8,4,1,
12,2,12,6,3,6,3,6,6,6,9,18,18,7,8,8,1,8,4,6,6,3,2,6,1,6,9,6,6,6,12,6,1,2,4,8,
1,3,3,6,6,2,2,4,2,1,3,1,2,1],[1,6,9,8,4,1,2,2,6,12,2,8,18,4,9,12,4,6,8,9,4,4,
12,6,4,9,1,2,2,4,2,6,2,2,2,12,4,4,1,2,4,2,12,12,18,6,4,2,9,8,1,2,2,6,1,2,6,1,
2,4,4,2,4,6,2,2,12,2,4,4,4,12,2,1,1,6,9,4,2,1,2,2,1,1,2,2,6,6,1,2,2,1,1,4,4,1,
1,2,2,1,1,1],[1,6,9,16,12,16,6,2,6,24,6,24,18,12,9,24,12,16,16,16,12,24,6,12,
9,3,6,6,12,6,12,4,6,6,24,12,12,3,8,12,16,3,6,6,12,3,6,12,1,6,12,12,8,4,12,4,3,
4,6,3,3,4,1,3,1,1,1,1],[1,9,27,27,64,3,27,81,162,18,36,81,54,162,27,162,27,81,
324,18,162,27,216,81,27,27,27,162,54,48,144,144,36,162,54,27,27,3,81,162,18,
81,27,27,9,36,36,12,1,1],[1,3,12,3,12,12,12,1,16,24,6,1,12,6,12,24,8,12,24,3,
24,12,12,6,6,3,6,12,24,12,12,6,8,16,16,16,24,24,3,24,24,12,6,12,1,6,12,6,3,3,
24,8,6,3,6,24,24,12,6,12,12,3,6,3,12,6,6,6,6,6,8,12,6,6,12,4,8,8,16,6,6,12,6,
3,3,6,6,3,6,12,12,6,6,3,24,12,12,3,6,3,4,12,12,3,4,8,4,8,4,8,8,3,6,6,6,1,6,6,
6,3,4,8,1,3,1,1,1,1],[1,5,12,11,4,15,4,1,3,27,30,2,2,12,21,10,42,18,36,6,7,12,
6,36,12,8,16,20,6,5,15,36,6,3,18,2,2,18,3,18,24,3,6,6,3,36,1,3,6,30,6,6,6,1,6,
3,1,18,18,6,2,24,6,4,6,6,6,6,6,8,24,16,8,1,4,6,3,6,3,6,6,3,1,3,6,6,4,6,3,3,2,
6,1,18,12,6,6,6,6,6,6,6,6,2,3,3,3,6,6,3,6,3,4,4,4,5,8,2,8,4,2,1,6,6,3,3,3,1,1,
3,2,2,4,6,2,4,1,1,2,1,1,2,1,1],[1,3,24,3,12,12,1,16,24,6,1,12,12,24,24,8,3,24,
12,12,12,12,12,3,12,12,24,12,6,8,16,32,24,24,6,3,24,24,24,12,3,6,12,1,12,6,12,
6,6,3,3,8,6,3,12,12,12,12,6,12,12,6,12,8,24,6,6,3,24,4,16,8,8,6,3,3,6,6,6,3,
24,6,12,3,12,12,12,12,3,6,12,3,3,6,6,4,6,12,8,4,4,8,4,8,8,6,3,6,6,6,6,1,6,3,4,
8,1,3,1,1,1,1],[1,3,12,1,4,14,18,3,4,12,1,1,3,18,6,12,12,18,6,6,4,24,3,6,18,6,
6,6,6,12,12,12,2,12,12,12,12,6,3,6,16,4,8,8,8,1,6,12,6,6,12,3,3,6,12,6,6,6,6,
6,3,6,3,3,6,12,2,3,3,12,3,12,6,12,12,3,6,6,6,6,6,6,6,24,1,6,6,6,6,12,4,6,6,24,
6,12,12,12,12,4,4,8,8,4,8,8,1,16,6,6,4,6,6,1,3,6,3,6,3,12,3,6,6,2,6,3,6,6,3,6,
6,6,3,3,12,3,6,3,6,6,12,6,6,4,1,4,2,8,4,2,8,4,2,3,6,3,6,6,3,3,6,1,3,3,4,2,2,1,
2,2,1,1,4,3,1,1,1,2,2,1],[1,24,3,6,6,4,16,12,3,1,6,12,6,2,6,6,6,12,24,6,12,12,
12,3,2,16,32,3,6,12,6,6,6,6,3,6,1,3,6,6,3,12,12,6,6,6,6,3,6,6,6,6,6,6,3,12,4,
16,8,8,6,3,3,3,6,6,6,6,6,6,6,6,3,3,3,1,6,4,4,4,8,8,3,1,3,3,3,3,3,4,1,3,1,1,1,
1],[1,3,24,15,13,16,9,12,48,6,12,8,15,12,42,36,36,24,3,12,16,32,30,3,36,6,6,
18,12,4,32,12,24,12,4,3,1,24,12,12,6,12,6,12,12,18,18,6,18,18,18,8,12,16,4,12,
6,18,12,12,6,9,3,6,12,3,3,12,6,6,12,6,12,3,3,9,6,6,8,8,4,8,4,8,4,6,3,1,3,3,3,
12,6,6,1,4,4,4,3,1,2,1],[1,24,3,12,4,16,1,24,6,3,3,6,12,24,6,12,6,16,32,6,6,6,
6,6,6,6,6,1,3,6,6,3,6,3,3,6,3,6,6,3,6,6,6,6,4,16,6,3,3,3,6,6,6,6,6,3,1,3,6,6,
6,6,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,9,27,27,4,3,27,81,162,18,36,81,54,
162,27,24,36,162,27,81,324,18,162,27,216,81,27,27,27,162,54,72,24,1,8,36,36,
162,54,27,27,3,81,162,18,81,9,6,24,36,27,27,9,2,6,4,18,9,1,6,9,1],[1,3,6,3,2,
2,6,9,4,1,1,9,6,6,1,3,6,1,3,9,9,6,3,6,6,9,6,1,6,6,3,8,12,8,3,6,1,3,3,3,6,1,6,
6,2,3,3,3,3,3,3,6,9,9,9,3,6,1,3,3,1,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,1,3,3,2,3,1,
3,3,3,3,3,4,4,12,4,4,1,3,3,1,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,
3,1,3,3,3,3,3,3,1,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,6,2,4,3,4,4,4,4,4,4,2,1,1,1,3,
1,3,3,3,1,3,3,3,3,1,1,1,1,1,1,3,4,1,1,1,1,1,1,1,1,1],[1,5,7,4,36,3,4,24,2,1,3,
3,6,12,24,18,6,6,9,6,6,36,12,24,7,48,4,18,8,4,16,16,1,12,6,2,6,6,3,24,24,12,
24,12,12,12,12,12,4,6,12,24,6,3,6,12,24,1,3,6,9,9,3,12,6,12,24,12,12,6,3,8,8,
8,8,4,1,4,16,4,6,4,6,6,3,3,3,6,6,6,6,6,6,6,6,6,2,6,6,3,1,6,3,3,3,3,12,6,6,12,
12,12,6,1,2,4,4,8,8,4,4,4,1,6,3,3,6,3,3,6,6,3,3,2,2,1,2,4,1,4,1,2,3,2,1,2,1,1,
1],[1,2,5,4,24,1,2,2,8,6,2,4,6,12,12,1,12,24,4,2,5,8,4,6,12,12,12,12,12,6,1,1,
4,12,4,1,2,4,4,4,8,2,8,2,4,2,2,4,1,1,3,2,6,3,6,6,4,4,4,4,4,1,1,4,1,4,2,4,2,3,
3,1,2,1,2,2,1,1,2,3,1,1,1,1],[1,7,15,9,4,2,9,18,36,6,18,6,18,27,24,6,18,15,16,
12,18,6,9,36,18,8,18,36,18,18,18,9,9,3,18,9,18,9,18,6,18,3,12,12,1,4,4,12,9,3,
9,9,6,18,6,6,9,6,1,9,9,9,9,18,9,18,3,4,4,12,12,3,9,3,1,9,9,9,1,3,4,1,3,3,3,1,
3,3,1],[1,7,15,24,9,4,2,9,18,36,12,6,24,12,27,24,18,24,12,15,24,12,16,12,16,
18,6,24,9,36,24,8,36,18,24,24,12,6,12,9,9,6,12,12,6,6,6,6,12,12,24,6,12,8,8,8,
8,12,1,4,12,6,6,3,3,12,12,6,6,12,12,6,1,12,12,9,12,12,9,6,6,12,12,3,8,8,4,4,4,
4,4,12,3,6,3,1,6,6,6,2,1,2,2,4,3,3,2,3,2,1,2,1,1,1],[1,7,15,4,12,9,4,24,2,2,9,
18,36,12,12,6,6,27,24,2,18,12,12,12,15,24,4,6,16,12,16,18,6,6,9,2,36,6,8,6,36,
18,12,24,6,12,6,6,4,6,12,12,6,9,9,6,6,24,1,1,6,3,2,3,6,12,12,6,6,12,6,8,8,12,
1,16,4,12,4,12,12,6,3,6,6,6,3,3,6,6,6,3,2,6,6,6,6,2,6,6,1,3,3,9,6,6,3,1,12,6,
9,6,8,3,4,4,4,8,4,4,1,1,3,3,2,6,2,1,3,6,3,4,1,2,2,3,4,3,1,1,1,1,2,2,1],[1,5,
11,15,4,1,3,27,30,2,4,12,21,10,42,12,7,8,20,6,5,15,36,12,2,18,3,24,3,12,3,1,3,
30,12,12,2,6,6,16,16,8,1,4,6,6,6,3,4,3,6,1,4,1,12,2,3,12,6,8,5,2,4,3,1,3,2,6,
4,2,4,4,1,1,2,1,1],[1,5,7,4,12,3,4,24,2,1,3,3,6,12,12,9,6,12,12,12,7,24,24,24,
4,6,8,4,16,1,2,6,3,12,24,4,6,12,12,3,6,6,24,1,3,6,12,12,12,12,12,12,12,12,16,
8,1,16,4,4,3,2,6,6,6,6,12,1,3,6,12,12,6,24,6,1,2,4,8,4,1,6,6,3,3,4,2,4,1,4,3,
1,2,1],[1,3,1,24,3,4,1,3,12,2,12,1,3,3,12,6,12,4,16,1,12,6,6,6,6,3,3,6,6,6,6,
1,3,6,3,3,12,4,8,8,1,1,2,6,3,3,6,6,6,3,6,3,6,6,3,3,1,4,4,4,4,3,1,3,3,3,3,3,1,
4,2,2,3,1,1,1,1],[1,12,3,12,12,4,16,1,3,3,24,6,6,12,12,6,24,6,16,16,16,6,1,6,
6,6,6,6,3,6,3,3,3,6,6,6,3,6,6,6,6,3,6,6,6,6,4,16,6,6,3,6,3,3,6,6,6,6,6,3,6,1,
6,3,3,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,6,16,9,12,16,2,24,6,12,6,18,12,24,
24,9,6,16,16,16,12,4,6,12,6,12,9,6,3,24,3,12,24,12,12,6,6,6,8,16,12,6,3,6,12,
12,3,1,6,6,12,12,8,4,12,4,3,4,6,3,3,1,4,3,1,1,1,1],[1,6,16,9,12,16,2,6,12,6,
18,12,24,24,9,24,6,16,16,16,12,4,12,6,6,12,9,12,6,6,3,24,3,24,6,12,12,6,16,8,
12,3,6,12,6,12,3,1,6,6,12,12,8,4,12,4,3,4,3,6,3,1,4,3,1,1,1,1],[1,6,9,8,36,4,
24,2,6,24,12,24,6,18,4,12,24,24,24,9,24,4,6,12,20,4,8,24,4,12,12,6,12,12,12,
12,24,12,12,12,12,12,12,8,12,12,12,9,12,24,6,3,3,24,8,12,8,12,4,4,4,1,4,4,6,4,
3,6,3,6,6,6,3,3,3,12,12,4,12,1,6,6,12,6,12,12,12,12,3,4,4,4,3,5,4,4,1,4,4,2,6,
3,4,3,6,3,6,6,6,3,1,1,1,2,2,3,1,4,1,3,1,1,1,1,1,1,1,1],[1,7,12,15,12,9,16,2,9,
18,36,6,18,27,24,18,18,18,15,18,36,12,16,16,16,18,6,9,36,3,18,8,36,18,18,18,
18,9,9,18,18,18,9,18,9,3,18,18,6,18,18,8,12,16,9,18,18,9,18,9,9,9,6,9,6,1,9,
18,9,3,18,9,12,8,12,12,9,9,9,3,3,1,9,12,1,3,1,1,1,1],[1,7,24,15,9,16,2,9,18,
36,6,27,24,18,36,36,36,15,12,16,32,18,6,9,36,18,6,18,8,36,18,9,9,18,36,36,18,
18,18,6,18,18,18,16,8,12,18,18,18,9,18,18,6,9,6,1,9,18,9,3,9,18,12,8,24,9,6,9,
1,9,9,12,1,3,1,2,1],[1,7,15,12,36,9,4,72,6,2,9,18,36,36,36,6,18,27,24,6,18,36,
36,36,15,72,12,18,16,12,24,8,18,6,18,9,6,36,18,8,18,36,18,36,72,18,36,18,18,
12,18,36,36,18,9,9,18,18,72,3,3,18,9,6,9,18,36,36,18,18,36,6,24,24,24,12,12,
24,4,1,4,12,12,36,36,18,9,18,18,18,9,9,18,18,18,9,6,6,18,18,18,6,18,6,1,9,9,9,
18,18,9,3,36,18,9,18,8,3,12,4,4,6,24,2,12,3,3,9,9,6,18,6,1,9,18,9,6,4,1,1,3,6,
6,3,3,6,3,1,6,3,2,3,1],[1,2,5,16,12,1,12,2,2,8,12,12,2,4,24,6,12,1,10,12,2,5,
4,4,4,12,12,12,12,12,6,6,1,12,1,4,4,1,4,2,4,8,4,2,2,8,4,4,4,2,2,4,1,6,1,3,3,2,
6,6,4,4,4,4,2,1,1,1,4,2,4,4,4,3,3,1,2,1,2,1,2,1,2,3,1,1,1,1],[1,3,1,14,18,3,4,
12,1,1,3,18,6,2,18,6,6,3,6,18,6,6,6,6,12,12,6,3,6,4,8,8,8,1,6,6,6,6,6,6,6,6,6,
3,6,3,6,2,3,3,3,3,3,6,6,6,6,3,6,6,6,6,6,6,6,1,6,6,6,6,3,4,4,8,8,4,8,8,1,1,3,6,
2,3,6,3,3,6,6,6,3,6,6,3,3,6,3,6,3,6,3,6,1,4,2,4,2,4,2,3,3,3,1,3,3,3,2,2,1,2,1,
4,1,2,3,1,1,1,1],[1,2,5,8,16,12,1,12,2,2,4,12,12,2,8,4,24,6,12,1,12,24,10,12,
2,8,5,4,4,4,12,24,4,12,4,12,12,6,6,1,12,1,24,2,2,2,12,2,2,2,4,4,4,1,4,2,4,8,4,
2,8,2,4,12,4,4,4,2,2,4,1,8,6,1,3,2,2,3,2,6,12,4,6,4,12,2,2,4,2,2,4,2,4,4,4,2,
4,4,2,1,1,1,8,4,2,4,8,4,4,3,6,6,3,1,4,1,2,2,4,1,2,2,1,4,4,2,2,3,1,2,1,2,1,1],[
1,2,5,8,4,24,1,2,2,4,6,2,8,4,6,12,12,1,12,12,4,2,8,5,8,4,4,6,12,4,12,12,12,12,
12,6,1,1,2,2,2,2,2,2,4,4,4,1,2,4,4,4,2,4,12,2,4,2,2,4,1,8,1,2,3,2,2,6,3,6,12,
6,4,12,4,2,4,2,2,2,4,2,4,4,4,4,4,4,2,1,1,4,1,4,2,2,4,3,3,6,6,1,2,4,1,2,2,2,2,
1,2,1,4,4,4,3,1,2,2,1,1,1],[1,3,24,3,1,16,1,6,6,3,12,12,12,3,12,16,32,12,1,6,
6,6,3,6,6,12,3,6,3,3,3,6,6,3,6,12,6,4,16,3,6,3,3,6,3,6,6,6,3,6,4,6,3,3,4,4,4,
1,3,6,3,6,4,1,3,1,1,1,1],[1,3,12,3,12,1,16,1,6,6,6,3,6,6,3,6,12,12,16,16,16,6,
12,1,6,3,6,3,6,6,3,3,3,6,6,6,6,6,6,6,3,6,6,4,16,3,3,6,6,3,3,6,3,3,6,4,6,6,6,3,
4,4,4,3,1,6,3,6,4,1,3,1,1,1,1],[1,6,4,9,12,12,16,2,6,18,12,6,24,18,12,6,6,9,
18,6,16,16,16,12,1,18,12,6,12,9,6,6,6,3,6,6,3,9,6,3,3,6,18,6,6,6,6,8,16,12,3,
3,3,9,6,6,3,9,6,6,6,1,6,6,6,8,4,12,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,27,27,
16,3,27,81,162,18,36,81,54,162,27,48,162,27,81,324,18,162,27,216,81,27,27,27,
162,54,8,12,16,36,162,54,27,27,3,81,162,18,81,12,12,24,12,27,27,9,12,1,8,1,3,
1],[1,6,9,20,24,4,24,6,2,6,12,12,6,18,16,24,12,24,24,9,24,16,12,12,12,12,8,12,
16,12,6,12,12,12,12,24,24,12,12,12,12,12,8,12,12,12,9,12,24,3,6,12,12,3,12,8,
8,12,4,4,1,4,4,4,6,4,6,6,3,6,3,3,6,6,3,3,12,12,4,12,1,12,3,12,6,12,6,12,12,4,
3,4,4,3,4,4,3,4,4,2,3,6,4,6,3,6,6,6,3,3,1,1,4,2,3,2,1,1,1,3,1,1,1,1,1,1,1,1],[
1,24,3,6,6,4,16,12,3,1,12,6,12,6,2,6,6,6,12,24,6,12,12,3,2,16,32,12,3,3,6,1,6,
6,6,6,6,3,6,3,6,3,6,12,12,6,6,6,3,6,6,6,6,12,6,6,4,16,8,8,6,3,3,3,6,6,6,6,6,6,
6,3,3,3,1,6,6,4,4,4,8,8,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,12,3,12,6,6,4,16,12,3,
1,6,2,6,12,6,6,6,12,12,6,12,24,12,3,2,16,16,16,6,12,1,6,12,6,6,6,3,3,3,12,3,6,
6,6,6,6,6,3,6,6,6,6,6,6,6,3,12,4,8,8,16,6,3,3,3,6,6,6,6,6,6,3,6,6,3,6,3,1,4,4,
4,8,8,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,5,12,7,4,3,4,1,3,3,6,2,2,6,9,6,6,12,6,7,
12,2,12,12,8,16,4,1,2,6,3,2,12,6,3,6,3,6,6,1,6,6,6,3,1,3,6,6,6,3,6,3,3,3,6,6,
6,2,6,4,6,1,6,6,6,6,8,8,8,1,4,3,3,1,3,2,3,3,6,2,3,1,3,2,6,6,6,6,3,6,6,6,3,6,6,
3,6,6,3,3,6,6,6,6,6,3,6,4,4,1,4,8,2,8,4,6,3,3,1,1,3,6,2,1,3,2,2,2,4,2,1,1,1,1,
1,2,2,1],[1,7,15,9,4,2,9,18,36,6,6,2,6,27,24,2,18,15,16,12,18,6,9,36,6,8,6,36,
18,6,6,9,9,1,6,3,6,3,6,6,6,1,8,8,12,1,4,12,3,1,3,3,2,6,6,2,3,6,1,3,9,3,3,6,9,
6,3,4,4,4,4,1,3,1,1,3,3,3,1,4,2,2,3,3,1,1,1,1,1],[1,24,3,12,4,16,1,6,3,3,6,12,
24,6,24,12,6,16,32,6,1,6,6,6,6,6,6,6,3,6,3,6,3,6,6,6,3,3,6,6,3,6,6,6,4,16,6,3,
3,3,6,6,6,6,3,1,6,6,3,6,6,3,6,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,3,9,27,6,
18,16,1,27,27,6,6,18,6,36,18,6,9,9,16,24,18,18,4,18,1,18,2,4,2,3,24,3,1,24,6,
9,6,4,3,4,1,3,2,2,4,4,1,6,6,1,1],[1,3,18,6,18,16,1,9,9,6,6,18,18,24,9,9,16,24,
9,4,3,1,3,9,2,4,2,3,24,4,18,6,3,9,3,4,3,4,1,3,2,2,4,4,6,1,3,3,1,1],[1,6,27,3,
6,4,9,27,27,12,2,6,6,18,27,18,27,3,4,6,27,9,6,9,2,4,18,2,3,6,18,9,1,3,1,6,9,3,
2,3,1,1,1,1],[1,3,9,3,6,18,16,1,9,9,6,24,6,1,9,3,12,3,3,9,16,24,4,3,1,2,4,2,9,
3,9,3,1,8,4,3,12,3,1,3,6,4,3,4,1,2,2,3,4,4,1,2,1,3,1,1],[1,9,27,12,36,27,72,6,
3,27,81,162,36,36,18,24,8,36,36,6,18,81,54,12,162,24,36,36,36,27,72,12,18,8,
162,27,36,81,12,324,24,36,36,18,36,162,27,216,81,36,24,24,24,24,36,72,36,72,
24,24,12,24,12,24,36,27,36,12,18,36,36,18,36,27,27,12,18,18,12,72,3,6,36,162,
18,18,8,12,9,9,18,18,36,36,36,36,36,36,72,54,12,8,24,18,36,3,12,12,36,12,9,72,
12,162,72,12,12,36,6,18,36,36,3,36,6,18,9,6,9,12,6,6,36,36,12,12,12,36,6,12,3,
6,36,18,18,18,18,6,6,54,18,27,9,36,36,36,36,12,36,36,36,18,18,27,3,18,18,24,9,
12,81,162,9,24,12,36,9,12,6,36,36,18,18,6,36,18,24,12,12,18,9,36,12,24,24,18,
81,4,18,18,12,24,12,36,12,12,24,12,36,4,24,12,6,6,3,12,12,18,18,12,36,3,18,3,
9,12,27,12,9,27,18,12,18,18,3,9,12,18,4,9,6,12,6,3,36,4,4,2,1,12,12,12,9,9,36,
12,9,12,12,12,12,9,4,3,18,18,36,18,6,1,6,3,3,6,6,9,18,9,12,12,12,12,12,12,12,
12,18,6,6,12,3,6,6,6,36,12,12,6,18,6,6,18,6,6,1,1,6,6,18,6,6,6,6,3,6,6,6,6,3,
9,9,6,18,3,6,3,12,3,3,6,3,6,3,3,6,12,6,6,3,2,3,3,6,9,9,1,3,3,3,6,6,3,3,3,1,
1],[1,3,16,15,4,20,13,8,2,9,12,48,4,8,8,6,8,16,16,8,2,10,15,12,8,42,20,4,24,8,
24,16,3,8,8,16,16,4,10,30,3,36,4,4,4,2,12,8,20,8,12,4,32,12,16,4,8,8,8,24,8,8,
8,2,4,8,8,8,4,16,2,4,8,4,4,3,1,4,8,2,4,16,4,4,2,4,1,4,4,12,8,4,8,4,4,5,8,5,4,
4,4,2,4,8,8,2,8,8,4,8,4,16,8,4,8,2,2,2,8,24,8,12,12,6,4,8,12,8,2,8,1,12,8,12,
2,2,4,4,4,5,16,4,12,8,4,4,8,2,4,2,2,1,4,4,2,2,4,2,8,2,12,8,8,4,4,6,4,4,4,4,2,
4,2,2,4,4,2,8,4,4,4,4,4,2,4,8,2,8,8,8,4,4,1,6,6,1,8,4,4,8,1,4,2,4,4,8,4,8,2,8,
4,8,8,4,1,4,4,8,8,2,2,4,4,8,3,4,4,2,4,2,2,4,2,8,4,4,12,2,4,2,4,8,4,4,12,4,6,4,
4,4,4,8,4,2,4,4,2,2,2,4,4,2,4,1,1,2,2,4,2,2,2,2,2,2,4,2,2,4,1,4,2,4,8,2,4,4,4,
2,1,1,2,6,4,4,2,1,2,4,1,2,2,8,4,4,4,2,4,2,4,2,1,2,2,2,4,2,2,4,1,2,1,4,4,4,4,2,
2,1,2,2,2,2,2,2,2,1,2,2,2,2,2,2,1,2,1,2,1,2,4,2,4,2,2,1,1,2,1,2,2,1,1,1,1,1,1,
1,1],[1,3,8,15,8,12,12,13,24,6,9,12,48,12,6,4,8,24,8,24,8,6,6,8,16,15,12,42,
24,12,12,12,20,3,12,24,16,8,12,6,8,30,3,36,8,24,2,16,2,4,12,12,4,12,32,12,4,
12,24,24,4,24,24,12,4,8,4,6,12,12,3,1,6,12,4,2,2,3,4,12,12,12,16,8,2,4,4,8,2,
3,4,4,2,3,16,16,2,6,12,4,8,8,24,10,2,12,2,4,4,24,2,8,12,8,4,6,12,4,4,4,8,4,8,
6,3,8,8,4,8,20,20,4,8,4,3,12,24,4,12,2,6,6,12,3,6,2,4,12,2,4,8,12,2,4,4,12,4,
2,10,6,4,12,8,8,6,4,2,4,2,4,4,6,4,4,12,4,4,4,4,12,2,3,4,6,6,3,4,3,4,12,4,4,4,
8,8,2,4,4,3,4,4,8,2,8,8,3,2,4,4,16,2,8,6,12,4,4,12,4,2,12,4,4,4,2,4,8,4,4,2,8,
2,2,12,4,2,6,2,2,3,1,6,2,2,3,2,2,6,6,4,4,4,4,2,1,4,6,4,2,3,4,4,4,6,4,4,4,6,4,
1,6,4,2,3,2,4,2,6,2,2,1,2,4,4,1,4,2,1,2,2,4,4,1,2,6,4,6,2,6,2,1,3,2,3,2,2,1,2,
1,2,4,3,2,1,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,3,16,15,12,12,13,24,6,9,12,48,
12,8,6,8,16,24,8,24,8,6,6,15,12,42,24,12,12,24,24,16,3,8,8,16,12,6,8,30,3,16,
36,4,24,4,4,2,12,12,12,4,32,12,16,16,12,24,24,24,24,12,2,8,8,4,6,12,12,3,1,8,
6,12,16,4,4,2,4,3,12,12,12,8,8,4,4,3,8,3,4,4,6,12,8,2,8,8,4,24,4,8,12,2,2,2,8,
24,8,12,12,6,12,8,12,8,6,16,3,12,8,12,2,16,2,4,3,12,24,12,4,6,6,12,2,2,3,4,6,
12,4,2,12,8,8,4,4,6,12,2,6,12,4,6,2,8,4,4,4,6,2,12,2,8,8,12,4,3,6,6,3,16,4,4,
4,8,3,4,12,4,4,2,8,8,8,8,3,8,8,2,2,4,4,8,3,4,4,4,2,4,2,2,6,12,4,12,2,2,4,4,12,
4,6,4,4,4,4,4,8,4,12,4,4,2,4,6,2,4,4,3,1,6,2,3,2,2,2,6,2,6,2,2,1,4,6,4,2,4,4,
4,2,3,6,6,4,4,1,6,3,4,1,4,8,4,6,4,2,2,2,2,2,1,1,4,2,4,1,4,2,4,2,6,6,2,2,1,6,4,
2,2,3,2,3,2,2,2,3,1,2,2,1,2,2,4,1,2,2,1,1,1,1,1,1,1,1],[1,9,27,4,12,27,24,2,3,
27,81,162,12,12,18,12,36,2,6,81,54,4,162,12,12,12,27,24,16,16,4,6,162,27,12,
81,4,324,12,12,18,12,162,27,216,81,12,12,24,12,24,12,8,8,27,12,4,6,12,12,6,12,
27,27,6,6,24,1,2,12,162,6,6,4,3,3,6,6,12,12,8,8,8,8,12,12,12,12,24,8,8,54,4,6,
12,1,36,4,3,24,162,24,12,6,12,12,1,12,2,6,3,3,2,12,12,12,1,12,6,6,6,6,2,54,6,
27,4,4,4,4,3,4,12,12,8,12,12,4,12,12,12,6,6,27,3,6,6,3,81,162,3,4,4,4,12,3,12,
12,4,6,6,8,2,12,6,6,3,4,12,18,81,16,6,6,12,12,4,4,2,1,4,6,6,12,1,6,2,1,3,27,3,
27,6,6,6,2,3,2,4,6,2,3,12,4,3,3,12,9,3,6,6,12,6,2,3,6,3,4,6,4,4,4,2,4,4,12,2,
2,6,4,2,2,2,2,4,6,2,1,2,6,2,2,2,3,3,6,2,2,1,1,2,4,2,2,1,1,3,4,3,1,1,1,1,1,1,1,
1,1,1],[1,7,16,15,12,28,9,56,6,2,9,18,36,28,24,8,6,16,24,8,16,2,2,27,24,8,18,
24,28,28,24,24,24,24,15,8,8,48,16,12,14,8,18,6,16,9,16,8,36,12,24,4,4,2,12,16,
4,8,16,36,18,16,4,24,24,8,8,24,48,16,24,16,16,12,16,2,8,16,16,8,16,8,14,28,24,
12,9,9,8,8,14,12,12,4,4,48,2,4,3,4,12,8,8,12,4,8,7,24,1,4,12,2,28,24,24,2,8,8,
4,16,4,16,12,4,2,2,2,8,24,8,12,12,6,4,8,12,8,16,2,16,1,12,8,12,2,16,2,8,8,8,1,
24,8,24,4,8,4,12,6,6,12,16,2,2,1,16,4,2,8,6,6,4,12,2,2,12,12,12,12,4,6,8,4,4,
4,2,4,12,1,2,12,8,12,2,4,2,6,12,4,4,4,1,6,4,16,12,8,4,12,2,4,6,1,8,2,16,7,8,9,
1,16,8,8,16,4,4,4,8,1,4,2,4,16,12,2,4,8,2,4,24,8,16,8,8,8,8,8,8,8,8,2,1,12,8,
8,2,2,12,4,16,16,9,4,4,2,4,2,2,12,16,4,4,2,4,2,8,4,16,4,12,4,6,12,4,4,4,4,4,8,
2,4,4,2,2,4,2,2,4,4,4,1,4,4,1,2,8,6,6,6,4,6,2,4,2,2,1,2,4,2,2,4,2,12,4,4,4,4,
4,1,1,4,8,1,2,4,8,4,4,6,1,1,4,4,4,4,2,1,2,6,1,1,2,4,1,8,4,8,4,4,8,4,4,4,6,2,4,
4,2,2,2,2,4,2,12,2,1,1,4,4,4,4,2,2,2,2,1,4,2,2,4,2,8,2,2,2,2,2,1,2,4,2,2,2,2,
2,2,4,1,2,2,2,2,1,1,2,4,2,2,1,2,4,2,1,1,2,2,2,1,1,2,1,1,2,2,2,2,1,1,1,2,1,2,2,
1,1,2,1,1],[1,5,11,12,20,15,40,6,1,3,27,30,20,12,2,8,24,8,12,12,2,14,21,10,4,
42,24,20,20,12,24,7,24,12,10,8,6,5,4,15,4,36,24,24,4,12,2,4,18,3,24,3,28,24,
24,12,24,12,8,8,8,12,8,4,8,4,8,24,8,3,4,4,10,20,12,10,4,1,3,4,10,6,12,24,3,2,
4,30,6,10,8,24,24,4,5,7,6,4,6,20,12,12,4,12,12,20,8,6,4,8,8,6,20,1,4,4,4,3,4,
6,8,4,4,6,2,4,4,1,4,2,3,6,5,4,2,12,12,4,12,6,2,6,10,6,6,2,2,4,6,3,4,4,12,12,
12,4,2,20,12,8,10,1,2,4,8,5,4,12,3,8,4,4,4,12,7,4,4,4,4,2,2,12,6,8,4,4,4,3,4,
8,8,2,3,10,4,12,8,8,4,24,8,12,4,4,4,8,12,1,4,4,6,4,2,1,1,4,2,2,3,2,4,4,2,1,4,
4,4,3,4,12,2,1,2,6,1,2,5,2,3,4,4,4,4,4,2,6,2,3,2,4,2,4,1,2,3,12,2,4,3,3,2,2,2,
2,2,1,2,2,1,2,2,2,1,1,1,2,1,3,1,2,2,2,1,3,1,2,2,6,1,1,1,1,1,1,1,1],[1,5,11,4,
28,15,24,2,1,3,27,30,12,20,2,8,12,12,6,10,21,10,4,42,28,12,20,24,7,40,16,16,4,
14,6,5,8,15,36,24,4,12,2,4,18,3,24,3,12,24,24,12,24,16,8,8,8,8,24,3,8,4,6,12,
20,6,4,1,3,6,10,24,1,2,4,30,6,6,24,24,7,5,10,4,10,12,20,8,8,8,8,8,12,28,20,16,
8,8,6,4,8,10,20,3,4,4,3,8,6,4,4,4,2,1,2,2,5,3,4,2,6,12,12,4,4,4,4,12,6,6,4,6,
10,10,2,4,6,3,4,4,4,12,12,12,8,4,2,4,12,20,8,6,6,1,4,2,3,12,5,4,12,3,2,2,4,8,
12,6,4,4,7,4,4,2,3,16,4,10,4,8,12,4,12,24,8,4,8,12,4,2,1,4,4,6,4,2,1,1,4,4,2,
1,3,2,2,4,4,1,4,4,4,3,3,2,12,2,2,6,1,2,2,2,3,2,5,4,4,2,4,6,2,4,2,2,4,1,3,4,4,
12,2,2,2,3,3,2,2,4,2,2,2,2,2,2,1,1,2,3,2,1,2,1,1,1,1,3,2,1,1,2,6,1,1,1,1,1,1,
1,1],[1,9,24,27,8,4,12,27,24,2,3,27,81,162,12,12,24,18,12,24,12,36,2,6,8,48,
81,54,4,162,12,12,36,12,72,36,27,24,24,24,12,72,24,4,6,162,27,12,81,4,324,36,
6,6,6,36,12,12,12,18,12,162,27,36,216,81,36,12,12,24,4,12,24,6,12,36,27,72,12,
4,6,12,12,6,12,27,27,24,6,6,36,12,6,24,6,6,1,2,12,12,162,6,6,2,12,36,36,6,4,3,
36,12,2,3,12,6,6,6,12,12,36,6,12,12,12,12,18,2,12,12,2,6,6,6,48,12,12,24,2,36,
36,36,12,48,54,4,12,24,12,8,12,36,4,48,6,12,1,36,24,12,36,36,36,12,6,24,6,36,
4,3,24,162,24,12,6,12,6,12,12,6,6,1,12,12,12,2,6,3,2,3,12,12,2,18,6,36,12,36,
36,18,36,12,12,36,18,8,12,18,6,18,1,12,12,12,6,6,6,6,12,36,36,2,6,54,36,6,12,
2,27,12,6,12,3,18,12,12,12,12,6,12,12,12,4,12,12,12,12,12,12,6,36,6,12,6,27,
12,3,36,6,6,3,12,81,162,3,12,12,12,3,36,12,12,12,12,12,6,12,12,12,6,12,12,6,2,
12,12,12,6,12,6,12,4,12,6,3,12,12,36,36,6,6,36,12,6,12,12,36,36,36,18,81,12,6,
12,12,12,12,6,12,12,12,6,6,6,6,6,4,12,12,12,12,12,6,6,12,36,12,6,12,12,12,12,
36,12,12,12,18,12,36,6,12,12,12,12,12,12,24,12,6,6,18,12,12,12,18,6,18,4,2,1,
4,12,6,6,6,6,18,12,12,12,1,6,6,12,12,1,12,6,3,12,27,6,6,36,3,27,12,12,12,6,36,
12,6,18,6,6,6,6,6,18,6,3,4,6,6,3,12,12,6,12,12,12,12,12,2,12,2,12,4,3,3,12,9,
6,6,6,12,2,6,12,18,12,18,3,12,12,18,12,6,4,2,12,6,12,6,6,12,12,12,12,2,12,12,
18,12,3,6,3,6,3,36,6,12,6,6,18,6,6,6,6,3,2,2,12,1,3,3,36,6,3,3,12,6,6,12,1,6,
6,6,3,2,6,1,2,12,6,6,3,2,6,6,6,3,3,3,6,6,6,6,6,6,3,1,6,6,2,6,3,18,1,3,4,3,6,3,
12,3,3,3,3,3,18,6,4,1,6,6,6,3,6,3,3,6,1,3,1,2,2,1,1],[1,5,24,11,8,4,28,15,24,
2,1,3,27,30,12,20,24,2,4,24,12,12,6,10,8,48,21,10,4,42,28,12,36,20,72,12,7,24,
24,40,12,72,24,4,14,6,5,8,15,36,12,6,6,6,36,4,4,12,2,4,18,3,36,24,3,12,12,24,
24,12,24,4,16,8,8,8,6,8,8,12,8,3,72,8,4,6,12,20,6,4,1,3,24,6,10,12,12,6,24,6,
6,1,2,12,4,30,6,6,2,12,12,12,6,7,12,12,2,5,12,10,2,10,12,20,12,6,12,12,8,6,2,
28,20,2,6,6,6,48,12,12,16,2,36,36,12,4,48,6,4,12,24,12,8,12,12,4,48,8,10,20,3,
12,24,12,12,12,12,12,6,24,6,4,4,3,8,6,12,4,4,6,4,2,6,6,1,12,12,2,2,5,2,3,12,
12,4,2,6,6,6,12,6,12,4,12,12,6,4,4,4,8,12,6,2,6,12,12,4,6,10,10,12,12,12,2,6,
4,12,6,12,2,3,12,6,4,4,12,6,12,12,4,12,12,12,12,12,4,12,20,4,6,12,6,12,6,1,12,
36,4,2,3,12,12,5,8,12,4,4,12,12,3,12,2,12,4,12,12,2,12,12,12,4,12,12,6,12,12,
12,6,8,8,12,8,4,8,6,12,8,4,12,4,7,4,12,12,12,6,6,12,12,6,12,12,12,12,12,2,3,
12,6,12,4,12,12,12,6,12,12,12,8,6,6,6,8,10,4,4,8,12,12,12,12,12,4,6,12,6,12,
12,12,6,12,12,12,8,12,12,12,12,6,12,12,6,12,12,12,12,4,12,12,8,24,12,6,6,6,12,
4,12,2,12,6,4,4,1,4,12,6,6,4,12,4,12,6,12,12,1,12,6,4,1,6,6,12,4,12,12,12,4,
12,12,6,2,6,6,1,2,6,3,2,6,12,12,6,2,12,4,4,12,12,4,12,12,4,4,1,2,4,4,4,6,6,6,
12,4,4,4,4,12,4,6,12,6,3,12,12,6,3,12,4,2,4,4,2,4,12,4,12,6,4,12,12,12,12,2,
12,2,2,12,1,2,12,3,6,2,4,3,2,5,4,2,12,4,2,6,6,6,4,2,3,2,4,4,2,4,4,2,2,3,4,4,4,
4,2,2,4,2,4,2,4,4,6,2,4,12,1,2,4,6,2,4,2,6,4,12,2,2,3,4,6,2,2,2,1,3,2,2,1,2,2,
4,1,2,4,1,2,2,1,2,4,2,4,1,1,4,4,4,2,2,12,1,2,2,4,1,4,2,1,1,1,1,1,2,2,1,1,2,2,
1],[1,3,8,15,8,4,20,13,8,2,9,12,48,4,8,6,4,8,16,8,2,10,8,16,15,12,8,42,20,4,
12,8,20,3,16,12,16,24,8,4,10,30,3,36,8,2,2,8,4,20,8,12,4,12,32,12,4,4,8,8,4,8,
24,8,8,8,4,8,8,4,4,16,2,4,8,4,4,3,1,4,2,4,4,2,2,1,4,4,4,12,8,4,2,4,4,8,2,5,4,
4,2,5,4,2,2,4,8,4,8,8,8,16,10,2,4,8,2,4,4,24,2,8,12,8,4,6,4,4,4,4,8,4,8,2,8,1,
8,8,4,8,20,20,4,8,4,4,4,5,16,4,12,8,4,4,2,8,2,4,1,4,2,2,2,8,4,2,2,4,8,12,2,4,
4,4,4,4,4,2,4,4,2,10,2,4,4,8,4,2,4,2,4,4,4,4,4,8,4,4,4,4,8,4,2,1,4,6,6,1,4,4,
8,1,4,4,2,4,4,4,4,8,8,4,8,8,4,2,4,4,4,1,4,4,8,2,8,8,3,2,4,8,2,8,4,2,4,8,4,4,
12,4,4,2,4,12,4,4,4,2,4,4,8,8,2,2,2,2,4,2,2,2,4,1,1,2,2,4,2,2,2,2,2,2,2,4,2,4,
1,4,4,4,4,2,4,4,8,4,2,4,1,4,1,2,4,4,6,2,4,2,1,2,2,4,4,4,2,4,2,4,2,1,2,2,1,2,2,
2,4,4,1,4,4,2,2,2,2,1,2,2,1,4,2,4,4,2,2,2,2,2,2,2,2,1,1,2,1,2,2,2,1,2,1,2,2,1,
2,2,4,1,4,2,2,2,1,1,1,1,1,1,1,1],[1,7,16,15,4,4,9,8,2,2,9,18,36,4,8,6,16,16,6,
14,27,24,8,18,4,4,24,24,24,15,8,8,16,4,2,18,6,4,9,4,36,12,4,4,2,12,16,4,8,16,
36,18,4,4,2,4,8,4,8,4,2,4,12,12,9,9,4,8,2,4,4,2,4,1,4,12,8,12,12,4,4,1,24,7,4,
14,4,24,2,8,8,4,4,4,4,12,4,2,2,2,8,8,12,12,6,4,8,12,14,3,12,8,12,2,2,4,1,4,4,
4,6,4,2,2,1,4,4,4,8,6,4,4,12,2,8,12,12,12,4,6,4,4,12,1,2,12,2,6,4,4,4,1,4,6,4,
4,8,4,8,4,6,1,2,8,1,9,7,4,4,1,4,4,4,4,4,8,4,2,2,2,12,2,1,4,4,8,2,2,12,4,9,4,4,
4,2,4,2,2,4,12,2,2,4,8,4,4,4,6,12,4,4,4,4,2,2,2,4,4,1,6,2,4,2,1,2,6,4,1,6,2,2,
1,2,1,1,4,1,1,1,2,4,4,6,1,6,6,2,6,2,4,1,4,2,4,4,4,4,2,1,2,2,2,4,4,2,1,1,4,2,4,
8,2,1,4,4,2,2,2,1,2,2,2,2,2,2,2,2,1,2,1,2,2,1,2,1,2,2,1,1,1,2,1,1,1,2,1,1,1,1,
1,1,1,1],[1,7,8,15,8,4,4,9,8,2,2,9,18,36,4,6,12,8,16,6,14,8,16,27,24,8,18,4,4,
12,12,15,12,16,24,8,4,2,18,6,4,9,4,36,2,2,16,12,4,8,16,36,12,18,12,4,4,4,4,8,
4,12,8,4,2,4,12,12,9,9,4,2,12,2,2,1,4,4,12,8,12,2,4,12,2,4,1,12,4,2,7,6,14,4,
12,8,8,4,4,6,2,4,2,4,4,2,8,12,12,6,4,4,4,4,4,14,3,8,4,12,12,4,8,4,1,4,4,4,2,6,
4,1,4,4,8,2,6,8,4,4,4,6,12,12,12,6,12,4,4,6,6,6,1,4,2,6,4,2,4,2,4,4,1,4,4,6,4,
4,4,4,4,8,2,6,1,2,8,1,4,9,7,4,4,1,4,12,4,4,4,4,8,2,2,4,12,2,4,4,2,1,4,4,2,9,2,
4,4,2,4,4,12,4,2,4,12,4,2,4,4,4,8,2,2,6,4,4,6,6,2,2,2,6,4,1,2,6,2,1,2,2,2,1,2,
2,1,4,1,4,4,2,4,1,4,1,1,1,4,2,2,6,1,4,6,6,2,4,2,4,4,4,2,2,1,2,1,4,2,2,4,1,2,4,
8,1,2,2,2,4,2,1,4,2,2,1,2,2,2,2,2,2,1,2,2,1,2,1,2,2,1,1,2,1,1,1,1,2,2,2,1,2,1,
1,1,1,1,1,1,1],[1,7,8,15,8,12,28,9,56,6,2,9,18,36,28,24,6,12,8,24,8,16,2,2,8,
16,27,24,8,18,24,28,28,12,24,12,15,48,12,24,16,8,12,14,8,18,6,16,9,8,36,24,2,
16,2,16,12,4,8,16,36,12,18,12,4,24,24,8,8,24,48,4,16,24,16,16,12,16,8,16,16,8,
12,16,8,14,28,24,12,9,9,8,14,12,12,12,2,48,2,3,4,4,12,8,16,8,2,4,12,2,8,7,12,
4,2,1,16,16,12,6,2,28,24,12,8,8,16,16,6,2,4,2,4,4,24,2,8,12,12,6,4,4,4,4,4,8,
16,2,1,8,4,12,12,4,8,8,8,8,1,24,8,24,4,4,8,2,12,6,6,12,16,1,16,2,8,6,6,2,4,4,
6,2,12,12,12,6,12,12,8,4,4,4,2,4,6,6,6,1,2,4,12,8,8,2,4,6,12,4,2,4,2,4,4,1,4,
4,16,12,6,4,4,4,4,4,12,2,2,6,1,8,2,16,7,8,4,9,1,16,8,4,1,4,12,2,16,12,4,4,4,2,
8,4,24,4,16,8,8,8,8,8,8,2,4,4,2,1,4,12,8,4,2,16,16,9,2,4,16,8,2,8,8,12,4,16,4,
4,4,8,16,4,2,12,12,4,2,4,8,4,2,8,2,6,2,6,6,2,2,2,4,2,6,4,1,2,2,4,1,2,8,6,6,2,
2,2,4,1,2,4,2,4,2,12,4,2,4,4,4,4,4,1,1,4,8,1,4,8,4,2,2,6,4,1,1,4,4,4,4,4,4,4,
2,1,2,4,1,1,2,2,8,4,8,4,4,8,4,4,6,2,2,2,4,4,4,2,1,4,12,1,4,4,4,4,2,2,2,2,1,2,
2,4,1,2,2,4,2,8,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,4,1,2,2,2,2,2,2,4,2,2,1,1,
1,2,2,1,1,1,1,4,2,4,2,1,2,2,1,2,2,1,1,2,1,1,1,1,2,1],[1,5,24,11,8,12,20,15,40,
6,1,3,27,30,20,12,24,2,4,24,24,8,12,12,2,14,8,48,21,10,4,42,24,20,20,36,12,72,
12,7,24,24,24,12,16,72,16,24,12,10,8,6,5,4,15,16,4,36,12,24,6,16,6,6,36,4,4,
12,2,4,18,3,36,24,3,16,12,28,24,24,12,24,4,12,8,8,8,12,8,6,4,8,4,12,3,72,4,4,
10,20,12,10,4,1,3,4,24,10,6,12,12,12,6,24,6,6,3,2,12,4,30,6,16,10,8,2,12,12,
12,6,4,5,12,12,2,7,12,16,16,6,2,6,20,12,12,6,8,8,8,8,12,12,12,4,6,2,12,20,2,6,
6,6,48,12,12,8,2,8,8,36,36,12,4,48,6,4,12,24,12,8,12,12,4,8,48,8,6,20,16,1,12,
24,12,12,12,12,12,6,16,24,6,4,4,4,3,4,6,8,12,4,4,6,6,2,4,4,6,6,1,4,12,12,2,3,
6,2,5,8,12,12,4,2,6,6,8,12,6,12,12,12,6,4,8,12,2,6,2,12,12,6,10,6,6,8,12,12,
12,2,2,6,4,12,6,12,2,3,12,6,4,4,12,4,6,12,12,8,4,12,12,12,12,12,20,12,4,10,12,
12,6,1,12,36,2,4,8,5,4,12,12,3,8,4,16,12,4,12,8,12,7,12,12,4,4,12,12,4,12,12,
12,2,12,12,8,6,2,12,12,12,6,8,8,4,8,8,12,8,8,4,8,6,12,4,12,4,3,4,4,12,12,12,6,
6,12,12,6,12,12,12,12,8,8,12,2,3,12,6,16,12,12,12,16,12,6,12,12,12,6,6,6,8,10,
4,12,4,8,12,12,12,12,8,6,6,4,12,12,8,12,8,6,12,12,12,12,4,12,12,12,12,6,12,12,
6,12,4,4,12,8,12,12,12,8,12,8,24,12,6,8,8,6,6,12,12,12,6,4,4,1,4,12,6,4,6,4,
12,4,12,6,2,2,12,12,1,12,6,4,1,6,6,12,12,12,12,12,4,12,2,6,6,6,6,3,6,4,2,4,12,
2,12,6,12,1,12,12,12,8,12,2,4,4,4,4,6,6,6,12,4,12,6,12,6,3,4,12,12,6,12,4,4,4,
8,2,4,4,12,4,4,12,6,4,2,12,12,12,12,2,12,1,2,12,1,8,12,3,6,2,2,4,5,2,3,4,4,2,
12,4,4,4,6,2,4,6,6,4,2,4,3,3,4,2,2,2,2,8,2,4,4,4,3,4,4,4,4,6,12,4,2,1,4,4,2,2,
4,2,2,6,4,2,1,2,6,4,4,2,12,2,3,4,1,2,6,2,2,2,2,3,2,2,2,2,1,1,1,2,4,1,2,2,1,2,
2,1,4,4,4,12,1,2,4,4,4,4,2,2,1,1,1,2,2,2,1,1,1,2,1,1],[1,6,9,18,54,5,8,54,2,6,
27,18,9,27,54,54,9,54,9,24,18,9,54,18,72,24,27,9,6,27,27,54,27,18,27,27,27,9,
54,4,18,54,54,9,72,9,18,18,3,6,1,72,3,6,2,8,9,9,27,27,9,27,1,27,12,12,4,18,9,
9,9,18,18,9,6,6,3,3,6,9,9,18,9,3,9,9,24,9,12,4,12,1,18,9,3,1,18,1,9,9,3,9,9,2,
9,3,4,3,1,6,3,3,1,3,3,1],[1,6,9,6,18,8,32,18,2,6,9,18,3,9,18,18,9,18,3,24,12,
4,24,9,3,6,9,9,18,9,6,9,9,9,9,18,16,12,12,12,2,12,8,16,24,3,9,9,3,9,1,9,16,4,
6,3,12,1,6,3,8,3,2,3,3,2,3,4,4,3,1,1,1],[1,3,12,3,4,9,4,4,32,1,9,1,6,9,9,18,
36,12,6,36,12,12,32,12,16,12,4,3,3,18,18,36,9,1,18,18,24,3,4,16,8,24,24,4,1,8,
4,1,12,12,18,6,1,3,3,16,4,4,3,3,4,3,8,24,1,8,1,4,4,2,1,1,6,3,3,4,4,1,1,2,1,
1],[1,6,9,36,8,32,18,2,6,18,18,36,9,36,24,48,96,36,6,9,9,18,36,36,9,16,24,2,
24,8,16,24,9,18,9,1,18,16,48,6,24,12,24,9,8,2,6,2,6,8,6,6,1,1],[1,6,9,6,18,5,
8,18,2,6,9,18,3,9,18,18,9,18,3,24,18,9,6,2,24,9,3,6,9,9,18,9,6,9,9,9,9,18,4,6,
6,6,12,3,3,18,6,1,6,1,1,12,6,2,8,9,3,9,9,3,9,1,9,12,8,2,3,3,3,6,3,6,3,1,6,9,6,
12,3,3,3,6,3,4,4,4,1,1,1,1,3,1,3,3,3,2,3,3,3,2,4,3,1,1,1,1,1],[1,6,9,12,1,16,
32,6,2,6,6,18,12,9,12,6,9,12,16,12,6,9,3,6,12,12,3,16,6,12,6,16,18,6,12,2,24,
8,12,9,3,6,3,1,6,16,12,12,8,3,3,6,9,12,6,4,3,12,8,6,6,2,1,1,3,3,4,8,1,3,1,1],[
1,6,9,12,1,16,32,2,6,18,18,9,18,6,16,12,9,18,6,9,9,3,18,16,18,16,18,18,6,2,24,
8,12,9,9,9,1,16,3,9,18,18,6,9,12,3,12,8,9,9,2,1,1,12,3,1,1,1],[1,3,18,6,21,27,
2,2,1,27,27,9,54,6,18,27,27,18,27,18,18,18,6,18,6,6,2,18,6,18,6,10,12,18,6,6,
18,18,9,9,9,18,18,54,9,9,27,6,18,27,1,18,12,12,18,6,6,18,2,18,2,6,2,18,18,18,
18,2,18,18,6,6,18,9,9,9,9,9,9,9,3,2,3,1,6,4,6,2,6,6,2,18,6,6,18,18,6,18,6,6,9,
2,3,2,6,6,3,1,2,3,1,2,3,6,3,2,2,6,6,2,2,1,1,2,1,2,1,6,2,2,2,1,3,3,1,1,1,1,1,1,
1,1],[1,4,3,6,54,5,8,18,1,18,6,3,6,27,18,36,3,36,3,8,8,3,42,2,24,48,18,1,36,
18,18,18,6,9,18,9,18,3,3,4,6,12,24,6,6,9,24,6,3,6,1,1,4,12,1,2,3,9,3,9,3,9,9,
9,4,8,8,2,6,12,6,3,12,2,1,3,1,6,6,3,12,6,6,3,6,6,9,4,4,4,1,6,3,3,1,3,1,3,3,3,
3,3,4,2,1,2,3,3,1,1,1,1],[1,6,9,36,8,32,2,6,36,18,18,36,9,18,24,48,96,36,36,6,
36,9,18,9,9,16,24,24,2,8,16,24,9,9,1,18,18,16,24,48,6,12,24,9,8,2,6,6,2,8,6,6,
1,1],[1,6,9,12,8,32,2,6,18,18,9,18,24,16,48,18,6,9,9,3,18,16,2,8,16,24,9,9,1,
16,6,12,12,3,8,2,2,3,1,1,1],[1,7,15,9,8,32,2,9,18,36,6,27,24,18,15,32,32,24,
18,6,9,36,8,36,18,9,9,6,16,24,2,8,16,24,24,6,6,1,9,9,16,24,6,16,8,8,1,8,2,2,6,
6,8,2,2,1,1],[1,6,9,12,5,8,6,2,6,6,18,12,9,12,24,18,9,8,12,12,6,9,3,6,12,12,3,
4,6,12,6,18,4,6,1,4,12,6,2,8,9,3,6,3,1,6,12,8,12,12,6,3,3,3,4,6,9,12,6,2,3,4,
4,4,1,6,1,6,1,1,1,2,3,3,3,4,2,1,3,1,1,1,1],[1,6,9,4,1,16,32,2,6,6,18,9,6,32,6,
4,9,16,6,6,9,3,1,6,16,6,16,6,18,6,2,24,8,12,9,3,3,1,16,1,3,6,6,8,6,4,9,1,12,8,
3,3,2,1,1,4,1,1,2,1,1],[1,6,9,6,18,4,4,32,18,2,6,9,18,3,9,18,18,9,18,3,12,12,
24,12,4,9,3,6,9,9,18,9,6,9,9,9,9,18,16,12,16,12,1,12,12,4,24,1,4,3,9,9,3,9,1,
9,16,3,1,3,3,12,6,4,3,4,4,3,1,3,2,3,1,3,4,4,1,3,1,1],[1,9,12,6,16,24,3,18,3,2,
9,18,18,16,48,24,9,6,9,3,18,18,16,10,12,8,8,12,1,9,9,16,12,12,6,3,8,1,1,2,1,3,
1,1],[1,4,3,12,36,5,8,6,1,27,3,9,18,18,3,18,12,8,8,3,36,8,12,48,18,6,1,9,18,
18,18,9,18,3,3,6,4,6,18,18,6,6,24,9,3,4,1,1,12,1,2,3,9,9,9,9,3,3,9,4,8,8,6,6,
12,6,2,1,3,1,6,6,6,3,6,3,2,12,6,3,9,4,4,4,1,6,3,3,1,3,1,3,3,3,3,3,4,2,1,2,3,3,
1,1,1,1],[1,3,3,6,18,9,4,4,32,3,1,9,18,18,1,6,3,9,9,9,18,18,9,12,12,24,12,4,3,
9,9,18,6,9,9,9,9,9,9,9,3,3,9,16,12,12,8,12,24,4,1,12,8,4,1,3,3,9,9,9,9,1,16,3,
3,12,1,3,6,4,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,6,12,9,8,32,2,6,18,18,18,9,
24,48,16,3,6,9,18,18,9,16,2,8,16,24,9,9,1,16,6,12,12,3,8,2,2,3,1,1,1],[1,4,3,
18,18,5,8,18,1,18,6,3,18,9,18,3,9,8,8,3,18,18,24,24,9,9,1,18,9,18,18,9,9,9,3,
3,4,6,18,18,3,6,3,6,3,1,24,8,1,2,3,9,9,3,9,9,3,9,4,4,4,3,3,3,6,3,6,6,2,1,18,3,
3,1,3,3,6,3,3,9,4,8,1,3,6,3,3,3,3,1,3,3,1,3,4,1,1,1,3,3,1,1,1,1],[1,4,3,36,36,
5,8,36,6,1,36,9,3,15,72,18,36,18,3,18,24,36,8,8,3,24,28,36,24,24,9,15,36,1,9,
36,9,36,18,18,18,18,9,6,18,9,36,18,3,3,6,4,12,6,6,36,48,24,6,6,6,3,3,12,8,1,
24,3,24,1,2,3,9,3,9,9,9,18,3,18,9,18,18,4,4,4,16,2,3,6,3,3,6,6,6,6,2,1,3,6,3,
1,3,6,6,6,12,3,6,3,5,6,6,12,24,3,6,9,8,4,1,8,8,3,1,3,1,6,3,3,6,6,3,6,3,6,3,6,
6,3,4,1,1,2,1,2,3,3,1,2,1,1,2,1],[1,3,18,3,6,9,4,4,32,1,9,1,3,6,9,9,9,18,9,18,
3,18,18,12,4,12,24,12,3,3,9,18,9,9,9,9,9,9,9,3,6,9,9,16,12,8,12,12,24,4,1,8,4,
1,12,9,9,3,9,3,9,1,16,6,3,4,3,12,3,1,3,4,4,2,3,1,1,3,3,3,4,4,3,1,1,1],[1,6,9,
12,24,16,2,6,18,18,9,18,24,48,16,18,6,9,9,3,18,16,8,12,10,8,12,9,9,1,16,6,12,
12,3,8,1,1,2,3,1,1,1],[1,27,3,6,4,36,27,18,27,18,12,3,4,24,6,27,27,18,3,18,4,
1,8,9,3,4,1,1],[1,7,16,15,16,12,12,9,16,24,6,2,9,18,36,12,6,24,24,12,6,6,24,
48,27,24,12,18,12,12,24,24,15,24,48,16,12,6,16,16,16,16,16,16,16,18,6,12,9,12,
36,4,6,12,24,12,8,12,36,24,18,24,12,12,12,12,24,12,6,12,9,9,6,24,6,6,3,6,12,6,
6,12,24,6,12,3,24,12,6,3,12,6,12,24,12,12,12,4,12,6,12,12,6,24,24,6,12,12,12,
12,12,6,3,24,12,24,24,12,24,16,16,8,16,12,16,16,16,16,3,12,6,12,3,12,6,6,6,12,
12,24,24,12,24,12,12,12,12,3,12,6,6,12,6,12,6,3,12,12,12,12,12,12,12,6,6,6,1,
6,6,3,12,9,3,3,24,12,12,12,6,6,6,12,6,12,12,6,3,12,6,9,6,12,4,12,12,12,6,24,
12,6,12,6,6,12,12,8,8,8,4,12,4,16,12,4,4,12,12,6,6,12,3,6,3,6,4,6,3,12,12,4,
12,3,3,1,6,6,12,3,12,6,6,3,3,6,3,6,6,3,6,6,4,8,4,12,4,4,1,4,4,3,4,3,6,3,3,3,3,
6,3,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,7,15,28,60,9,4,120,14,2,9,18,36,
60,48,6,72,24,36,6,6,27,24,20,18,72,60,60,48,15,96,28,30,24,16,12,32,16,16,18,
6,36,9,20,36,72,36,12,8,36,36,18,12,72,72,24,24,48,96,36,48,48,48,36,48,24,48,
36,36,16,30,60,48,24,9,9,24,30,24,36,96,7,10,24,18,24,20,15,3,24,6,60,48,36,
36,12,48,6,12,24,48,6,3,16,24,24,16,32,32,8,16,8,4,12,32,8,1,4,16,4,12,24,24,
16,3,48,24,48,12,24,24,18,12,24,36,3,36,6,18,12,18,12,6,24,24,24,12,12,12,6,
12,3,6,24,18,6,8,6,24,3,12,36,24,8,24,6,6,1,18,6,48,15,24,9,3,48,24,3,12,6,36,
24,6,18,10,48,48,24,24,6,3,24,24,48,48,9,36,48,12,12,24,48,24,12,6,8,4,8,4,3,
4,16,8,4,4,8,4,4,8,8,24,8,16,4,8,4,4,8,8,16,16,12,4,4,4,12,6,12,3,12,3,6,24,
12,12,8,3,6,12,6,6,24,12,8,12,3,3,24,1,12,24,12,3,3,6,3,6,3,3,6,24,12,24,12,
12,24,12,12,12,6,12,12,6,24,12,12,6,6,6,6,18,6,4,6,4,4,1,2,4,4,4,8,8,1,2,8,4,
8,4,4,2,8,4,1,8,8,3,4,3,6,4,6,6,6,12,3,6,6,6,12,6,6,3,6,3,2,2,1,4,2,4,2,1,1,2,
1,1,6,1,1,2,4,3,4,2,2,1,4,2,3,1,2,2,1,1,1,1,1,2,1,2,1],[1,9,12,27,4,27,64,3,
27,81,162,18,6,36,81,54,162,18,36,18,27,12,6,36,12,64,162,27,81,324,18,3,18,6,
18,162,27,18,216,81,18,18,27,36,27,27,18,162,18,18,18,3,18,9,1,18,18,18,6,24,
54,4,18,18,18,18,18,48,144,144,36,162,9,18,18,18,9,18,18,9,9,3,9,18,18,54,18,
27,9,3,6,18,27,3,18,81,162,18,6,18,18,18,18,18,18,18,81,3,3,18,18,9,18,9,16,
48,16,9,9,9,6,27,18,27,18,9,3,9,1,6,9,9,9,9,1,9,18,3,9,18,6,36,36,12,1,3,3,3,
3,9,9,12,4,4,1,1,1],[1,7,28,15,4,24,9,16,2,9,18,36,12,24,6,6,24,12,48,27,24,
18,24,42,12,36,42,15,12,24,24,6,12,4,12,16,16,32,16,32,18,6,24,9,36,18,7,6,18,
6,24,8,36,6,18,6,24,6,24,6,12,6,12,9,9,6,6,12,6,12,12,12,6,12,6,18,6,42,12,6,
12,6,3,12,42,6,12,12,21,1,12,6,6,6,24,12,24,6,18,18,6,6,12,12,12,18,24,12,18,
18,6,6,12,6,16,16,16,32,8,16,12,16,6,6,6,6,6,6,3,3,6,21,6,6,6,18,3,18,12,6,9,
21,3,3,6,12,6,18,6,12,12,6,6,9,12,12,3,12,12,6,12,6,6,1,12,12,9,6,12,6,12,12,
6,6,6,6,6,6,12,18,6,6,9,6,6,6,6,1,3,6,6,6,6,12,6,12,6,12,6,6,6,12,9,18,12,6,6,
6,6,3,6,6,12,16,8,4,24,4,16,8,6,3,3,6,3,12,6,6,3,6,6,6,9,7,9,3,6,6,6,6,1,1,6,
3,9,6,6,6,6,9,3,6,6,6,6,3,3,3,6,6,8,8,12,4,4,1,4,4,3,3,1,3,3,3,3,3,3,3,3,6,3,
3,1,1,4,2,1,2,3,1,2,1,1,1,1,1],[1,5,12,7,4,3,4,1,3,3,6,2,12,14,18,9,6,12,6,12,
6,7,12,2,12,12,8,16,4,1,12,2,12,6,3,2,12,12,12,6,3,6,3,6,6,6,6,1,6,6,6,3,1,9,
6,18,6,3,6,3,3,3,6,6,6,2,6,4,18,7,6,6,6,6,8,8,8,8,1,8,4,3,3,6,6,1,3,2,3,3,6,6,
6,2,6,3,1,6,9,6,6,6,6,6,2,6,6,6,6,3,6,6,6,3,6,6,3,6,12,6,3,3,6,6,6,6,6,6,3,6,
6,4,4,1,4,8,2,8,4,8,8,6,3,6,3,1,3,1,6,3,6,6,2,1,6,6,3,6,3,6,6,3,3,6,6,2,6,6,2,
2,2,4,2,4,2,4,1,3,3,3,3,1,3,3,1,1,1,2,2,4,2,2,3,1,1,1,1],[1,5,12,7,4,4,12,3,4,
24,2,1,3,3,6,12,12,12,2,12,24,24,4,24,9,6,12,12,6,12,12,6,7,12,12,24,2,24,12,
24,12,4,6,8,16,4,16,1,3,3,2,6,3,12,24,3,12,4,6,12,12,12,12,3,12,6,6,6,6,3,24,
3,1,12,12,12,6,6,3,6,12,6,12,12,6,12,12,12,12,6,1,24,6,1,12,12,6,6,2,12,6,4,6,
2,24,6,12,6,6,6,3,12,16,8,8,8,16,1,16,4,16,4,6,3,3,3,6,4,6,6,6,2,6,6,1,3,6,6,
6,12,2,1,12,3,6,2,12,3,12,6,6,6,6,6,6,3,6,3,24,6,6,12,3,3,6,3,6,12,6,6,3,6,6,
6,24,12,3,6,4,1,4,8,2,8,4,4,8,8,4,6,2,1,6,3,6,3,3,6,6,6,3,3,6,6,6,6,6,3,6,1,1,
2,3,6,6,3,4,4,2,2,4,2,4,4,1,4,4,3,1,3,3,3,3,3,1,1,2,2,4,2,1,2,3,1,1,1,1],[1,3,
36,3,12,24,9,16,1,12,12,24,6,4,6,6,48,3,12,24,18,12,60,18,3,12,24,24,6,60,12,
12,16,48,48,6,12,6,12,1,12,12,24,24,6,6,12,12,12,1,24,12,1,6,6,12,6,9,6,6,3,6,
6,6,9,6,12,3,3,6,6,6,12,18,3,6,12,24,12,3,3,3,24,6,6,6,12,6,24,6,12,12,12,24,
6,12,3,6,18,6,12,6,12,6,4,48,16,48,3,9,6,6,12,6,3,3,12,6,3,6,12,12,12,6,12,6,
6,6,6,6,3,6,12,1,6,6,6,6,6,12,6,12,3,6,6,3,12,6,6,6,6,6,6,6,12,12,6,12,12,3,
12,6,3,6,6,6,6,6,6,3,6,4,6,6,3,6,6,12,12,3,12,6,12,6,12,6,12,6,6,6,6,6,12,6,6,
6,6,3,6,4,4,4,4,4,16,4,4,6,3,6,3,6,6,6,3,6,6,6,4,4,6,1,6,3,3,6,6,3,6,6,6,3,6,
6,6,3,6,6,6,6,6,6,3,6,6,3,6,6,6,6,4,4,4,4,4,4,4,1,3,6,3,6,6,3,3,6,3,3,1,1,1,4,
1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,20,15,12,24,9,16,2,9,18,36,12,24,6,18,24,12,
48,27,24,18,24,30,12,12,30,15,4,24,24,18,36,12,12,16,16,32,16,32,18,6,24,9,36,
6,5,6,6,18,24,8,36,18,18,18,24,6,24,18,12,6,12,9,9,6,18,12,6,12,12,12,6,12,18,
6,6,30,12,6,12,6,9,12,30,6,12,12,15,3,12,6,6,6,24,12,24,18,6,6,18,6,12,12,12,
6,24,12,6,6,18,18,12,6,16,16,8,16,32,12,16,16,6,6,6,6,6,6,3,3,6,15,6,18,18,6,
9,6,12,18,3,15,9,9,6,12,6,6,6,12,12,6,6,3,12,12,9,12,12,6,12,6,6,1,12,12,9,6,
12,18,12,12,6,6,6,6,6,6,12,6,6,6,9,6,6,6,6,3,1,6,6,6,6,12,6,12,6,12,18,6,6,12,
3,6,12,6,6,6,6,9,6,6,12,16,8,8,12,16,12,8,6,9,9,6,9,12,6,6,3,6,6,6,3,5,3,3,6,
6,6,6,3,1,6,9,3,6,6,6,6,3,3,6,6,6,6,3,3,3,6,6,8,12,4,4,1,4,8,4,3,3,3,1,3,3,3,
3,3,3,3,6,3,3,4,2,2,1,1,1,3,1,1,1,1,1,2,1],[1,7,32,15,12,12,9,16,24,6,2,9,18,
36,12,24,6,48,12,6,6,27,24,12,18,12,12,48,48,48,15,16,24,12,6,16,32,32,16,16,
18,6,12,9,12,36,24,8,12,6,24,12,12,8,12,36,18,12,12,6,12,12,6,12,9,9,24,6,12,
12,6,12,3,6,6,24,12,12,3,48,3,12,6,12,48,6,12,12,12,12,24,12,6,6,6,24,24,24,6,
12,24,24,6,3,24,24,24,6,16,16,16,8,16,12,32,16,6,3,12,12,6,6,3,12,12,6,6,24,6,
24,24,12,12,12,24,3,6,24,6,6,12,3,12,12,12,24,6,12,6,1,6,6,3,9,3,12,3,12,12,6,
12,6,6,6,6,3,24,6,6,24,12,9,12,12,6,12,4,6,12,6,6,12,12,12,12,24,12,12,12,8,8,
8,8,24,16,4,4,6,6,12,3,12,3,6,12,8,12,6,3,6,3,3,1,6,12,12,3,12,12,3,6,6,6,3,3,
6,6,3,12,6,8,12,4,4,1,4,4,8,3,4,3,6,3,6,3,3,6,3,3,4,2,1,1,1,2,3,1,1,2,1,1,1,
1],[1,7,15,4,36,9,4,24,2,2,9,18,36,12,24,6,48,6,30,27,24,8,18,36,12,24,15,48,
4,18,16,12,16,16,18,6,30,9,2,36,24,24,8,24,36,18,24,24,12,24,6,36,12,12,12,30,
6,4,6,12,24,24,36,9,9,6,12,24,1,4,36,24,24,2,9,15,12,18,12,24,6,6,12,36,6,12,
18,12,3,8,8,8,8,8,20,12,1,4,16,4,12,6,4,6,12,12,6,6,6,18,6,6,6,3,12,6,12,6,6,
6,24,18,6,12,12,6,6,6,18,3,6,2,6,6,6,12,6,18,8,6,9,6,1,15,21,3,9,9,12,6,6,6,9,
3,1,12,18,6,18,9,6,6,12,12,30,12,12,18,36,12,8,3,8,8,4,4,4,4,8,8,4,8,12,16,4,
4,4,1,6,12,9,3,3,6,12,6,3,3,3,3,2,6,3,6,2,1,6,12,3,9,6,15,3,3,9,6,6,9,3,3,3,3,
6,6,6,6,6,9,3,2,4,1,2,5,2,4,4,2,4,1,4,4,3,4,3,4,2,3,1,3,3,3,3,3,3,3,6,3,3,3,3,
2,1,2,1,2,1,2,4,3,1,2,4,2,3,1,1,1,1,1,1,1,1],[1,5,12,7,4,48,3,4,1,3,3,6,24,2,
24,2,6,9,6,48,6,24,12,6,7,12,48,2,12,12,24,8,16,4,32,1,24,2,6,3,24,24,2,24,24,
12,12,12,24,6,12,3,12,6,3,6,12,12,6,1,6,6,6,3,12,1,3,6,12,6,24,6,3,6,3,3,3,6,
24,6,6,2,6,4,6,1,6,6,6,6,8,16,16,16,8,8,1,4,3,3,6,6,1,3,2,3,6,12,6,12,3,6,6,6,
12,2,3,1,12,3,12,6,6,6,2,6,6,6,6,12,12,12,12,3,6,12,12,6,6,3,6,6,3,6,6,3,12,3,
12,12,12,12,6,6,6,6,6,24,6,3,6,12,4,4,1,4,8,16,2,8,4,8,8,8,6,3,3,1,12,3,6,6,6,
1,6,3,12,6,6,6,3,6,2,6,1,6,6,6,3,6,6,6,6,3,6,6,3,6,6,2,6,4,4,2,8,2,4,2,4,4,1,
8,4,6,6,3,3,3,1,6,6,3,3,3,1,1,4,1,2,2,2,2,4,3,1,2,1,2,1,1],[1,3,36,3,12,12,12,
9,16,24,6,1,12,12,12,6,36,24,8,4,12,12,24,3,12,24,12,12,18,60,18,3,12,12,6,24,
60,24,12,12,6,8,16,48,48,6,24,12,24,24,9,3,12,1,12,24,12,24,24,24,12,3,12,1,
24,6,12,6,1,12,6,12,6,6,9,3,3,12,6,24,6,8,12,6,6,3,6,6,12,24,24,12,18,6,12,12,
12,12,12,6,12,3,6,6,6,12,18,3,12,12,6,6,12,6,24,12,12,6,6,12,6,8,12,24,6,12,6,
12,6,6,3,24,12,4,48,16,8,8,48,6,12,6,3,3,6,6,3,6,6,12,12,6,6,12,6,6,6,3,1,12,
9,6,6,6,6,6,12,6,6,6,6,3,12,24,12,6,6,12,6,12,6,6,6,3,6,12,12,12,6,12,12,12,6,
6,6,3,6,6,3,6,12,6,6,6,6,12,24,6,12,6,12,6,6,12,3,3,6,6,12,3,6,12,6,6,3,6,4,6,
12,6,6,6,12,12,3,6,4,8,4,4,4,4,16,8,4,4,8,8,8,8,6,6,3,6,3,3,6,3,3,4,6,6,6,6,6,
3,6,4,6,6,6,6,6,6,6,6,6,1,6,3,6,6,6,3,6,6,6,6,6,3,6,3,6,4,4,4,4,4,4,4,8,8,1,1,
3,3,3,6,3,3,6,6,6,3,1,1,1,4,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,9,36,27,12,27,16,3,
27,81,162,18,18,36,81,54,162,54,108,54,27,36,18,108,36,48,16,48,162,27,81,324,
54,9,54,18,18,162,27,54,216,81,54,54,27,108,27,27,54,162,54,54,54,9,54,27,3,
54,54,54,18,72,54,12,54,54,54,54,54,48,8,16,12,48,36,162,27,54,54,54,27,54,54,
27,27,9,27,54,54,54,54,27,27,9,18,54,27,3,54,81,162,54,18,54,54,54,54,54,54,
18,81,9,9,54,54,27,54,27,36,16,24,36,12,27,27,27,18,27,54,27,54,27,9,27,3,18,
9,27,27,27,3,27,54,9,27,54,18,36,12,36,1,8,1,9,9,9,9,27,27,12,3,3,1,3,1,3,3,
1],[1,5,11,4,12,15,4,24,2,1,3,27,30,12,12,2,12,2,6,21,10,42,12,12,12,7,24,48,
48,4,6,8,20,16,6,5,15,36,12,2,18,3,24,3,12,12,24,3,4,6,12,12,6,1,3,6,6,24,1,
30,6,3,3,6,6,12,12,24,24,24,24,12,12,24,24,6,4,6,12,1,8,32,8,16,8,1,16,4,4,3,
6,1,3,3,2,12,6,6,6,2,4,6,3,12,12,12,12,12,24,12,12,6,1,3,12,3,12,12,3,24,12,6,
3,12,2,3,48,6,12,5,16,2,4,4,4,16,4,1,4,6,1,1,3,6,3,12,6,3,3,12,12,6,12,6,6,12,
2,8,2,2,4,4,4,1,8,6,6,3,1,3,1,1,4,4,1,4,3,1,2,1],[1,5,12,11,4,15,4,1,3,27,30,
2,6,12,12,21,10,4,42,18,36,18,7,12,6,36,12,8,16,20,6,5,15,36,18,3,18,12,2,2,
12,18,3,18,24,3,6,18,3,36,12,1,3,6,2,12,30,6,18,18,6,3,6,9,1,18,18,6,2,24,6,4,
6,6,6,6,6,16,24,24,16,8,1,4,6,6,6,3,6,12,6,6,3,6,6,3,3,1,3,1,6,6,4,6,3,3,9,1,
4,6,6,1,18,12,6,6,6,6,6,6,6,6,6,2,3,3,3,6,18,6,3,6,9,4,4,12,5,8,2,8,4,8,2,3,3,
2,1,6,6,3,1,3,3,3,3,1,3,6,3,3,3,3,6,2,3,3,4,2,4,6,4,6,4,4,1,1,3,1,1,3,3,3,4,2,
1,3,2,2,1,1,1,1,1,1],[1,7,15,12,60,9,4,72,6,2,9,18,36,36,48,6,48,2,18,27,24,8,
18,60,36,48,15,96,12,30,16,12,40,8,18,6,42,9,6,36,24,24,8,24,36,18,24,24,36,
72,18,60,12,12,12,42,18,12,18,36,48,12,36,9,9,18,24,72,3,4,36,24,12,6,15,9,24,
6,36,48,18,18,12,60,6,12,6,12,1,8,32,32,24,8,20,8,12,24,4,1,4,12,6,12,6,36,36,
6,6,18,18,18,18,18,1,12,12,6,6,2,6,24,30,6,12,12,6,6,6,30,9,6,6,6,18,6,12,18,
30,8,18,3,6,1,21,15,9,9,3,12,6,18,18,3,9,3,36,6,6,30,9,6,6,12,12,18,12,12,30,
36,12,8,3,8,8,12,16,4,4,4,10,24,4,2,8,8,4,16,4,3,6,12,3,1,3,6,12,6,9,9,3,3,6,
18,3,6,6,1,6,12,3,3,6,9,3,3,9,6,6,15,3,3,3,3,6,18,6,6,6,3,9,4,8,4,1,4,1,5,6,2,
2,6,2,4,4,3,3,4,8,4,3,3,3,3,3,3,1,3,3,6,3,3,3,3,2,1,1,2,2,1,6,2,1,4,2,4,3,4,3,
1,1,1,1,1,1,1,1],[1,5,11,4,12,15,4,24,2,1,3,27,30,12,12,2,8,12,2,6,21,10,42,
12,12,12,24,7,24,4,6,8,20,16,6,5,15,36,24,12,2,18,3,24,3,12,12,24,24,3,4,6,12,
12,6,1,3,6,6,24,1,30,6,24,24,3,3,6,4,6,12,12,12,12,12,6,4,6,12,1,8,8,32,16,8,
1,16,4,4,3,6,1,3,3,2,12,12,12,6,6,6,6,2,4,6,3,12,12,12,2,12,12,8,6,1,3,12,3,
12,3,12,6,3,2,3,6,24,12,16,5,16,2,4,4,4,4,1,4,6,1,1,3,3,12,6,3,3,4,6,1,3,12,3,
3,8,2,2,2,8,4,4,4,1,3,2,1,3,6,1,4,4,1,1,4,1,1,2,1],[1,9,27,12,36,27,4,72,6,3,
27,81,162,36,36,18,36,36,6,18,81,54,12,162,36,36,36,27,72,12,18,24,36,24,8,
162,27,36,81,12,324,36,36,18,36,162,27,216,81,36,36,72,36,72,36,27,36,12,18,
36,36,18,36,27,27,18,18,72,3,6,36,162,18,18,12,9,9,18,18,36,36,36,36,36,36,72,
54,12,18,36,3,24,24,24,12,12,72,24,4,24,1,4,8,36,36,12,9,72,162,72,36,18,36,
36,3,36,6,18,9,9,6,36,36,36,3,36,18,18,18,18,6,54,18,27,9,36,36,36,36,12,36,
36,36,18,18,27,3,18,18,9,81,162,9,36,9,36,36,18,18,6,36,18,18,9,36,18,81,18,
18,36,36,8,12,12,9,12,24,12,6,4,24,6,36,24,12,2,12,12,6,3,12,18,18,36,3,18,3,
9,27,9,27,18,18,18,9,12,18,9,36,12,9,9,36,9,9,18,18,36,18,9,18,9,18,36,18,18,
6,4,2,1,6,3,6,3,4,12,6,4,12,1,12,12,18,9,6,1,6,18,6,9,9,18,3,3,9,9,3,1,6,6,6,
3,3,3,3,2,3,4,3,9,3,3,3,3,1,1,3,1,1],[1,9,12,27,4,27,4,3,27,81,162,18,6,36,81,
54,162,18,36,18,27,12,6,36,12,24,16,36,162,27,81,324,18,3,18,6,18,162,27,18,
216,81,18,18,27,36,27,27,18,162,18,18,18,3,18,9,1,18,18,18,6,24,54,4,18,18,18,
18,18,24,24,72,24,1,8,36,36,162,9,18,18,18,9,18,18,9,9,3,9,18,18,54,18,27,9,3,
6,18,27,3,18,81,162,18,6,18,18,18,18,18,18,18,81,3,3,18,18,9,18,9,4,4,12,9,24,
6,24,24,36,9,9,9,6,27,18,27,18,9,3,9,1,6,9,9,9,9,1,9,18,3,9,18,6,2,12,6,12,4,
6,6,18,9,1,3,3,3,3,9,9,6,1,4,3,6,6,9,1,3,1,3,1],[1,5,12,7,4,28,36,3,4,72,14,1,
3,3,6,36,12,12,2,12,72,24,12,4,24,9,6,12,72,36,36,6,12,12,6,7,12,12,24,2,24,
12,24,12,28,18,24,8,16,4,16,16,16,1,12,24,12,72,24,3,3,12,2,12,6,3,24,72,72,
12,24,12,24,24,36,24,3,12,24,12,12,12,4,18,36,12,3,12,12,18,6,36,6,6,3,24,3,7,
6,6,24,24,6,6,12,9,6,24,24,6,36,12,6,12,12,12,12,12,6,12,1,24,6,1,12,12,6,6,2,
12,6,4,6,2,24,24,24,24,6,12,6,6,6,3,24,12,16,16,32,16,8,16,8,8,8,16,8,1,16,4,
16,12,12,4,12,12,18,12,3,3,12,6,3,18,12,12,12,4,6,12,6,2,6,6,1,3,6,6,6,12,12,
2,1,6,24,9,12,24,12,24,6,12,12,2,6,12,3,6,12,6,6,12,24,12,12,12,12,12,12,12,6,
6,12,6,6,3,6,3,24,24,24,6,24,6,12,36,24,3,3,12,6,24,12,3,6,6,6,3,6,12,12,6,12,
6,12,12,12,3,6,4,1,4,8,8,2,8,4,4,4,16,16,4,16,16,16,8,4,2,1,6,6,3,6,12,3,3,3,
12,6,6,12,12,6,6,12,6,6,6,3,12,3,12,12,12,6,6,6,6,6,1,12,1,6,6,6,6,6,2,6,3,3,
6,8,2,4,2,4,4,2,8,2,4,4,8,4,2,4,4,1,4,4,6,1,6,6,3,3,3,3,3,6,3,1,4,1,4,2,4,2,4,
1,2,2,4,4,3,1,1,2,1,2,1],[1,9,12,27,4,27,16,3,27,81,162,18,6,36,81,54,162,18,
36,18,27,12,6,36,12,48,48,16,162,27,81,324,18,3,18,6,18,162,27,18,216,81,18,
18,27,36,27,27,18,162,18,18,18,3,18,9,1,18,18,18,6,24,54,4,18,18,18,18,18,8,
16,12,48,48,36,162,9,18,18,18,9,18,18,9,9,3,9,18,18,54,18,27,9,3,6,18,27,3,18,
81,162,18,6,18,18,18,18,18,18,18,81,3,3,18,18,9,18,9,36,16,24,12,4,9,9,9,6,27,
18,27,18,9,3,9,1,6,9,9,9,9,1,9,18,3,9,18,6,12,12,12,1,8,1,3,3,3,3,9,9,1,3,4,3,
1,3,1,3,1],[1,3,15,12,12,13,64,24,6,9,12,48,12,6,24,8,24,8,6,6,15,12,42,24,12,
12,3,12,6,8,64,30,3,36,24,12,12,4,32,12,12,24,24,24,24,12,4,6,12,12,3,1,6,12,
3,12,12,12,8,3,3,6,12,24,12,24,6,12,8,6,3,32,48,32,32,4,3,12,24,12,6,6,12,3,6,
12,12,6,12,6,6,12,12,3,6,6,3,3,12,3,3,4,6,12,12,12,4,12,32,16,32,16,32,16,6,3,
1,6,3,6,6,2,1,6,3,6,6,1,6,3,6,6,6,4,4,4,6,3,3,3,4,8,4,4,1,1],[1,9,27,4,12,27,
4,24,2,3,27,81,162,12,12,18,12,36,2,6,81,54,4,162,12,12,12,27,24,4,6,24,36,16,
162,27,12,81,4,324,12,12,18,12,162,27,216,81,12,12,24,12,24,12,27,12,4,6,12,
12,6,12,27,27,6,6,24,1,2,12,162,6,6,4,3,3,6,6,12,12,12,12,12,12,24,54,4,6,12,
1,8,16,8,72,24,1,16,8,36,36,4,3,24,162,24,12,6,12,12,1,12,2,6,3,3,2,12,12,12,
1,12,6,6,6,6,2,54,6,27,3,12,12,12,12,4,12,12,12,6,6,27,3,6,6,3,81,162,3,12,3,
12,12,6,6,2,12,6,6,3,12,18,81,6,6,12,12,16,9,16,6,4,4,24,36,16,8,4,2,1,4,6,6,
12,1,6,1,3,27,3,27,6,6,6,3,4,6,3,12,4,3,3,12,9,3,6,6,12,6,3,6,3,6,12,6,6,8,2,
8,6,2,2,4,4,4,18,4,4,9,1,2,6,2,3,3,6,1,1,3,3,1,2,1,6,4,4,9,4,4,1,1,1,1,2,2,
1],[1,9,36,27,12,27,16,3,27,81,162,18,18,36,81,54,162,54,108,54,27,36,18,108,
36,16,48,48,162,27,81,324,54,9,54,18,18,162,27,54,216,81,54,54,27,108,27,27,
54,162,54,54,54,9,54,27,3,54,54,54,18,72,54,12,54,54,54,54,54,8,12,48,16,48,
36,162,27,54,54,54,27,54,54,27,27,9,27,54,54,54,54,27,27,9,18,54,27,3,54,81,
162,54,18,54,54,54,54,54,54,18,81,9,9,54,54,27,54,27,12,12,12,12,12,16,12,24,
12,27,27,27,18,27,54,27,54,27,9,27,3,18,9,27,27,27,3,27,54,9,27,54,18,12,1,12,
12,12,12,12,12,8,1,9,9,9,9,27,27,3,3,1,12,3,3,3,1,1],[1,5,24,11,8,4,12,15,4,
24,2,1,3,27,30,12,12,24,2,4,24,12,2,6,8,48,21,10,42,12,12,36,12,72,12,7,24,24,
24,12,72,24,4,6,8,32,20,16,6,5,15,36,12,6,6,6,36,4,12,2,18,3,36,24,3,12,12,12,
24,4,6,12,3,72,4,6,12,12,6,1,3,24,6,6,12,12,6,24,6,6,1,12,30,6,2,12,12,12,6,3,
12,12,2,3,12,6,2,6,12,12,12,6,12,12,6,2,12,12,2,6,6,6,48,12,12,2,36,36,12,4,
48,6,4,12,24,12,8,12,12,4,48,6,12,1,12,24,12,12,12,12,12,6,24,8,8,16,48,16,8,
1,16,4,32,6,4,3,6,12,6,6,6,1,12,12,3,2,3,12,12,2,6,6,12,6,12,12,12,6,8,12,2,6,
12,12,6,6,6,12,12,12,2,6,4,12,6,12,2,3,12,6,12,6,12,12,12,12,12,12,12,12,12,4,
6,12,12,6,1,12,36,3,12,12,3,12,12,12,3,12,12,12,12,12,12,12,12,12,6,12,12,12,
6,12,6,12,4,12,3,12,12,12,6,6,12,12,6,12,12,12,12,12,2,3,12,6,12,12,12,12,6,
12,12,12,6,6,6,6,4,12,12,12,12,6,6,12,12,12,6,12,12,12,12,12,12,12,6,12,12,6,
12,12,12,12,12,12,24,12,6,6,6,12,12,8,8,8,8,5,8,16,8,16,16,16,2,16,8,4,4,4,4,
12,6,4,1,4,12,6,6,12,12,6,12,12,1,12,6,4,1,6,6,12,12,12,12,12,12,6,6,6,6,3,6,
12,12,6,12,12,12,12,12,2,6,6,6,12,12,6,12,6,3,12,12,6,12,4,2,12,12,6,12,12,12,
12,2,12,12,12,3,6,3,3,2,12,6,6,6,3,2,2,3,4,6,12,1,2,8,2,2,12,8,4,8,4,4,4,1,16,
16,8,6,2,6,12,3,6,3,2,2,1,4,12,4,4,4,1,2,2,2,1,2,2,4,4,2,4,1,4,1,1,4,2,2,4,2,
1],[1,6,9,8,16,36,1,36,2,2,6,12,12,18,2,8,18,10,24,18,36,36,9,36,12,24,10,12,
6,8,9,12,4,4,18,10,12,24,12,6,18,12,12,4,18,36,24,12,12,12,12,12,18,12,18,18,
18,9,12,36,1,2,24,2,4,2,6,12,2,2,2,12,4,4,1,4,2,12,12,4,8,12,4,6,8,2,12,12,6,
18,12,2,6,2,4,2,9,8,6,6,6,6,1,2,3,2,3,6,6,6,1,3,2,18,18,6,6,18,1,12,3,18,6,2,
12,12,12,6,4,6,12,12,4,12,12,2,4,6,4,6,6,2,6,2,12,2,4,12,4,6,4,4,4,12,2,1,4,1,
2,6,4,9,12,4,8,4,2,4,6,4,4,6,4,8,4,4,6,4,1,3,6,3,6,6,3,2,2,6,6,6,6,6,6,6,3,1,
1,2,2,4,2,2,6,2,1,6,4,4,1,1,2,6,4,2,6,4,2,1,6,2,4,2,1,1,2,4,6,1,4,4,2,4,2,2,3,
3,3,3,3,3,1,1,2,2,2,1,2,2,1,1,2,2,2,1,1,2,2,2,2,1,3,1,1,1,1,1,1,1,1],[1,5,11,
28,36,15,4,72,14,1,3,27,30,36,12,2,72,24,36,12,2,30,21,10,12,42,72,36,36,12,7,
24,28,18,24,8,20,16,16,16,6,5,12,15,12,36,72,12,12,2,12,18,3,24,3,60,72,72,12,
24,36,24,24,24,36,24,12,24,12,3,12,4,18,36,12,18,12,1,3,12,18,6,36,24,7,6,12,
30,18,18,24,12,9,15,6,6,36,12,36,12,12,36,24,6,4,24,24,6,36,1,16,8,16,32,16,8,
8,16,16,16,8,8,1,16,4,12,12,4,3,12,6,24,12,12,18,6,12,12,1,12,6,3,18,9,12,2,
12,12,6,18,18,6,6,6,2,4,6,3,12,12,12,36,12,18,1,6,12,24,9,12,12,3,24,12,12,15,
12,12,12,6,6,12,6,24,12,12,12,3,12,24,24,2,3,18,12,36,24,24,12,24,36,12,12,24,
16,5,16,16,8,2,4,4,4,4,16,4,8,16,16,4,1,4,12,12,6,1,1,12,6,3,12,12,6,3,12,12,
12,3,12,12,6,3,6,3,6,9,6,3,12,12,12,6,6,9,6,6,6,6,6,2,4,2,2,4,4,2,2,8,4,8,4,4,
4,4,4,4,1,8,3,6,3,6,6,6,3,3,3,3,1,1,4,4,1,4,4,2,4,4,2,1,4,3,1,2,1,2,1,1],[1,5,
11,4,60,15,4,24,2,1,3,27,30,12,36,2,36,12,14,18,21,10,12,42,60,12,36,7,72,4,
30,8,20,32,16,6,5,24,15,36,12,12,2,12,18,3,24,3,12,72,72,12,24,48,24,24,24,24,
3,24,4,6,12,36,6,12,1,3,6,18,24,1,6,12,30,18,6,15,9,18,18,12,36,24,60,36,48,6,
4,24,18,36,7,8,16,16,16,8,8,16,8,1,8,16,4,12,4,3,24,6,12,12,12,6,1,6,6,9,3,12,
2,18,12,12,12,12,12,18,12,6,18,18,2,4,6,3,12,12,12,12,12,36,6,18,1,12,6,3,12,
9,12,3,6,6,12,12,6,12,12,15,12,2,3,12,18,12,24,36,12,36,24,24,12,6,16,5,16,16,
16,2,4,4,8,16,4,16,8,8,4,1,4,12,12,1,1,12,12,6,3,3,6,12,12,3,12,12,12,3,9,6,
12,6,6,3,6,6,3,6,9,12,6,6,6,12,12,6,6,6,4,2,4,2,2,2,4,8,2,8,4,4,4,4,1,4,6,6,6,
3,3,6,3,3,3,1,3,4,1,4,1,4,2,2,4,1,4,4,4,3,1,2,1,1,2,1],[1,5,11,4,12,15,4,24,2,
1,3,27,30,12,12,2,12,2,6,21,10,42,12,12,12,7,24,4,6,8,20,16,6,5,15,36,12,2,18,
3,24,3,12,12,24,24,24,3,4,6,12,12,6,1,3,6,6,24,1,30,6,3,3,6,6,12,12,12,12,6,4,
6,12,1,8,8,16,8,1,16,4,4,3,6,1,3,3,2,12,6,6,6,2,4,6,3,12,12,12,12,12,12,6,1,3,
12,3,12,12,12,3,12,12,6,3,2,3,6,12,5,16,2,4,4,4,16,4,1,4,1,1,6,3,6,3,12,3,3,
12,12,12,6,6,12,6,6,2,2,2,8,4,4,4,1,3,6,6,1,3,1,1,4,4,1,4,3,1,2,1],[1,7,15,12,
12,9,4,24,6,2,9,18,36,12,6,36,14,30,27,24,20,18,12,12,15,12,6,16,12,8,8,18,6,
12,9,12,36,36,12,8,36,36,18,12,12,12,24,12,12,6,12,24,24,9,9,12,6,3,10,24,18,
24,12,3,15,30,12,12,12,12,6,12,30,7,8,8,8,4,16,12,8,4,1,8,4,12,12,3,12,12,12,
12,3,12,10,18,12,12,8,24,12,12,3,6,6,3,12,12,8,18,6,1,6,18,3,9,15,3,12,12,12,
18,6,6,24,6,3,12,9,12,24,12,12,12,4,4,3,4,4,8,4,8,4,4,4,2,4,16,2,12,4,6,12,3,
12,4,3,6,3,3,3,3,12,3,3,1,3,12,12,6,6,12,12,3,6,12,6,18,6,1,4,1,4,1,2,4,2,4,4,
2,4,4,2,2,3,3,4,4,6,6,6,3,6,6,3,3,2,1,1,1,1,1,1,4,3,4,2,1,1,3,1,1,1,1,1,1,1,
1],[1,9,27,12,36,27,16,72,6,3,27,81,162,36,36,18,36,36,6,18,81,54,12,162,36,
36,36,27,72,12,18,48,48,16,162,27,36,81,12,324,36,36,18,36,162,27,216,81,36,
36,72,36,72,36,27,36,12,18,36,36,18,36,27,27,18,18,72,3,6,36,162,18,18,12,9,9,
18,18,36,36,36,36,36,36,72,54,12,18,36,3,48,48,8,16,12,36,12,9,72,162,72,36,
18,36,36,3,36,6,18,9,9,6,36,36,36,3,36,18,18,18,18,6,54,18,27,9,36,36,36,36,
12,36,36,36,18,18,27,3,18,18,9,81,162,9,36,9,36,36,18,18,6,36,18,18,9,36,18,
81,18,18,36,36,36,24,8,24,4,12,16,6,3,12,18,18,36,3,18,3,9,27,9,27,18,18,18,9,
12,18,9,36,12,9,9,36,9,9,18,18,36,18,9,18,9,18,36,18,18,24,24,12,12,12,1,8,1,
6,18,6,9,9,18,3,3,9,9,3,3,1,4,8,3,3,3,1,1],[1,5,11,12,36,15,4,24,6,1,3,27,30,
12,12,2,48,12,6,18,21,10,16,42,36,12,12,7,24,12,18,8,20,24,8,6,5,18,15,6,36,
24,2,24,18,3,24,3,24,18,36,12,12,12,12,24,18,3,18,6,12,12,6,24,1,3,12,6,6,3,8,
24,30,24,6,6,9,9,6,6,12,12,18,18,24,24,36,6,12,6,24,3,8,8,8,16,12,12,16,8,4,8,
1,4,4,6,12,12,12,6,12,6,6,6,12,6,6,6,3,12,3,3,6,12,6,6,12,12,18,1,6,6,9,6,6,6,
6,4,3,3,6,6,4,6,12,12,6,9,1,9,9,3,12,3,6,18,6,6,6,9,9,3,6,18,6,6,12,2,3,12,18,
12,18,18,12,12,6,8,8,5,16,4,8,2,8,6,4,8,4,2,8,8,4,4,2,6,6,6,6,12,3,3,6,1,6,3,
3,3,6,3,6,3,3,6,6,12,6,3,3,3,3,3,3,3,12,3,6,6,6,6,3,3,6,9,3,6,6,3,3,4,2,1,4,2,
3,2,3,4,4,2,4,1,4,4,4,1,4,2,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,2,2,2,2,2,4,1,1,2,1,
2,1,4,1,3,1,1,1,1,1,1,1,1],[1,3,9,27,6,18,16,1,27,27,54,54,6,6,18,6,36,18,6,9,
27,27,9,16,24,18,18,36,4,18,1,18,2,4,2,27,3,24,3,1,24,6,9,6,4,3,6,4,1,6,3,2,2,
4,9,4,1,3,6,6,3,4,1,3,1,1],[1,3,45,27,6,18,16,1,18,54,27,27,18,54,6,6,18,42,
72,18,54,18,54,27,9,27,9,16,24,18,72,36,18,18,4,18,6,1,18,6,18,2,4,2,27,3,72,
3,9,60,6,12,18,6,18,18,6,18,18,9,6,4,6,3,4,1,6,3,2,2,4,6,30,18,9,12,6,3,3,12,
1,6,6,2,6,6,4,1,3,6,1,2,1],[1,3,18,6,9,27,6,18,16,1,27,27,9,54,27,27,18,27,18,
6,48,6,2,18,6,24,18,6,6,36,18,6,9,54,27,6,27,9,16,24,18,18,4,6,18,1,18,2,18,
18,4,18,18,2,18,18,6,6,18,36,9,3,2,16,24,3,8,1,6,24,24,6,6,2,6,18,12,18,18,18,
9,6,4,3,6,6,3,4,1,3,1,3,2,24,2,6,4,3,6,9,4,8,1,6,6,2,4,2,6,6,3,3,1,4,1,6,1,2,
1],[1,6,9,9,48,64,2,6,18,9,48,30,9,6,9,24,64,96,32,18,6,2,10,48,20,16,24,9,1,
24,12,6,6,9,16,32,8,10,16,24,32,2,4,1,2,4,6,8,4,2,1,2,4,1],[1,9,24,27,8,12,36,
27,72,6,3,27,81,162,36,36,24,18,12,24,24,8,36,36,6,18,8,48,81,54,12,162,24,36,
36,36,36,72,36,27,24,24,72,12,16,72,16,24,12,18,8,162,27,36,81,16,12,324,36,
24,6,16,6,6,36,36,12,36,18,36,162,27,36,216,81,16,36,36,24,24,24,24,36,72,4,
36,72,24,24,12,24,6,12,24,36,8,36,8,27,72,36,12,18,36,36,18,36,27,27,12,24,18,
18,12,36,12,6,72,6,6,3,6,12,36,162,18,16,18,8,2,12,36,36,6,12,9,36,12,2,9,12,
16,16,18,6,18,36,36,36,6,8,8,8,8,12,36,12,36,18,2,36,36,2,6,6,6,48,12,12,72,2,
8,8,36,36,36,12,48,54,12,12,24,12,8,12,36,4,8,48,24,18,36,16,3,36,24,12,36,36,
36,12,6,16,24,6,12,12,36,12,9,72,12,162,72,12,12,12,6,36,6,18,36,36,6,6,3,36,
12,12,6,18,9,6,2,9,8,12,12,12,6,18,6,8,6,36,36,36,36,18,36,36,12,36,18,12,12,
12,8,36,6,12,18,6,18,3,6,12,12,36,18,18,18,18,8,12,36,36,6,6,6,54,36,18,12,2,
27,12,6,4,4,4,4,12,9,4,18,36,36,8,36,36,6,12,12,12,12,12,12,36,36,36,12,18,36,
18,12,6,27,12,3,36,18,18,24,9,12,12,81,162,9,24,12,8,16,12,4,4,4,12,8,36,9,12,
36,6,12,36,36,4,12,12,18,12,12,12,18,12,12,8,6,6,36,12,12,18,8,24,12,8,8,8,8,
12,8,8,8,12,8,8,6,12,8,4,12,18,9,4,36,12,12,36,36,6,6,36,12,6,12,12,36,36,24,
24,36,18,81,12,6,16,12,4,12,12,16,12,6,12,12,12,8,6,6,6,8,8,18,18,12,4,24,12,
12,12,12,12,36,6,12,6,12,12,36,24,12,8,6,12,12,12,12,36,36,12,12,12,18,12,36,
6,12,4,4,12,8,12,12,4,12,8,12,24,24,12,6,8,8,6,18,12,12,12,6,12,18,6,4,4,18,4,
6,3,12,12,6,12,18,6,4,18,18,12,12,36,12,3,6,18,2,12,12,3,12,6,9,12,12,27,6,6,
36,12,9,27,12,12,12,18,36,12,12,18,18,6,18,6,6,6,3,18,2,6,9,2,12,6,18,2,4,9,
12,6,12,12,6,6,12,4,3,4,12,12,36,4,12,8,2,12,4,2,4,1,2,12,12,12,4,4,12,9,9,4,
4,36,12,9,6,6,6,12,12,12,12,4,4,2,6,12,4,18,12,12,18,9,4,12,12,18,3,12,4,4,18,
4,4,4,8,2,4,4,4,12,18,4,4,4,36,6,4,18,4,12,12,12,12,2,12,6,1,6,12,18,3,3,6,8,
12,3,6,6,4,2,4,9,18,9,36,4,12,12,12,6,12,12,4,12,12,12,4,12,18,6,6,4,18,6,6,4,
4,6,4,12,6,3,6,6,3,4,6,4,6,4,2,2,4,8,4,2,4,36,4,1,2,4,3,4,3,4,12,4,4,4,12,36,
6,2,4,18,4,6,3,3,12,4,6,6,2,4,12,4,2,1,4,4,2,2,4,6,4,18,6,6,6,3,6,4,2,4,1,2,2,
2,6,4,1,4,4,6,6,12,18,6,2,6,6,2,3,6,2,6,4,2,3,4,6,2,6,2,6,6,6,2,2,2,2,2,6,6,3,
9,3,9,2,6,2,6,18,6,2,2,3,6,3,12,3,3,6,6,2,2,2,6,4,6,4,3,6,3,2,1,3,2,4,6,3,2,6,
6,4,2,12,2,6,6,3,1,2,4,2,2,4,6,3,18,2,3,3,3,4,3,4,2,6,4,4,2,6,4,2,9,12,4,9,3,
1,3,1,2,3,2,3,4,2,1,18,4,6,2,2,4,4,4,2,1,6,2,2,6,6,2,3,3,3,6,1,6,1,2,2,3,3,6,
1,1,1,2,1,3,1,2,1,3,6,3,2,2,1,2,1,1,3,2,1,2,2,1,3,1,1,1,1,2,1,1,1,1,1,2,2,2,2,
1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,27,27,64,48,3,27,81,162,18,
36,81,54,162,27,144,162,27,81,324,18,162,27,216,81,27,27,27,162,54,64,24,48,
36,144,48,144,36,162,54,27,27,3,81,162,18,81,36,36,72,36,27,27,9,48,36,36,36,
3,12,24,1,9,12,1,3,1],[1,9,27,27,64,3,27,81,162,18,36,81,54,162,27,162,27,81,
324,18,162,27,216,81,27,27,27,162,54,64,48,144,144,36,162,54,27,27,3,81,162,
18,81,27,27,9,36,36,12,1,1,1],[1,7,15,36,36,9,8,32,72,18,2,9,18,36,36,6,36,18,
18,27,24,36,18,36,36,15,36,18,32,32,24,48,48,96,96,18,6,36,9,36,36,36,36,8,36,
36,18,36,36,36,36,18,36,9,9,18,9,18,18,36,9,9,18,36,36,36,36,6,36,18,9,16,48,
24,24,24,48,24,2,96,24,8,16,24,24,9,36,9,36,18,18,36,9,18,6,9,36,36,18,6,1,18,
18,9,9,9,9,36,18,18,18,18,9,9,16,16,16,24,24,24,6,24,48,24,48,16,8,24,8,12,24,
12,24,24,18,9,9,18,9,9,9,1,9,18,18,16,8,2,6,48,6,12,6,12,24,24,2,6,6,6,9,8,8,
8,6,6,6,2,6,2,6,6,6,6,1,8,6,6,1,1,1,1],[1,7,15,12,36,9,8,32,72,6,2,9,18,36,36,
36,6,18,27,24,6,18,36,36,36,15,72,12,18,32,32,24,24,8,48,18,6,18,9,6,36,18,8,
18,36,18,36,72,18,36,18,18,12,18,36,36,18,9,9,18,18,72,3,3,18,9,6,9,18,36,36,
18,18,36,6,16,24,24,24,24,12,24,24,24,4,2,48,8,16,24,24,12,36,36,18,9,18,18,
18,9,9,18,18,18,9,6,6,18,18,18,6,18,6,1,9,9,9,18,18,9,3,36,18,9,18,16,32,8,24,
24,6,12,16,8,12,8,6,24,24,12,2,12,12,3,3,9,9,6,18,6,1,9,18,9,16,8,6,4,12,2,1,
3,6,6,6,6,2,6,12,6,6,3,8,8,8,3,3,2,2,6,3,6,2,3,6,4,1,4,3,1,2,1,1],[1,7,15,9,8,
32,2,9,18,36,6,18,6,18,27,24,6,18,15,32,32,24,18,6,9,36,18,8,18,36,18,18,18,9,
9,3,18,9,18,9,18,6,18,3,16,24,24,12,24,2,4,8,16,24,24,9,3,9,9,6,18,6,6,9,6,1,
9,9,9,9,18,9,18,16,24,6,16,8,12,8,12,12,12,3,9,3,1,9,9,9,16,8,2,12,3,6,4,6,2,
1,6,6,3,8,3,3,2,2,3,3,4,4,1,1,3,1,1],[1,7,15,72,9,8,32,2,9,18,36,36,6,72,36,
27,24,18,72,36,15,72,36,32,32,24,96,192,18,6,72,9,36,72,8,36,18,72,72,36,18,
36,9,9,18,36,36,18,18,18,18,36,36,72,6,36,16,48,48,48,96,48,24,2,8,16,24,24,
18,18,9,9,36,36,6,18,36,36,6,1,36,36,9,36,36,9,18,18,36,36,16,32,24,6,48,96,
48,16,8,8,24,24,24,48,36,9,18,9,1,18,18,18,16,8,48,12,2,12,12,24,2,24,6,6,12,
9,16,8,12,12,2,2,12,6,6,1,8,6,6,2,1,1],[1,6,9,12,72,8,32,36,2,6,72,36,54,18,
18,6,36,54,36,36,9,36,6,18,24,72,8,48,96,54,6,36,36,6,18,36,36,18,36,36,36,36,
36,36,18,12,18,18,18,9,36,36,18,9,9,72,16,48,24,48,24,24,24,24,2,24,8,16,24,
18,6,9,18,9,18,18,18,9,9,9,18,18,6,18,1,18,18,36,18,18,36,36,36,9,16,32,8,24,
48,24,6,18,24,24,2,24,24,24,12,18,9,6,9,18,9,18,18,18,8,16,6,2,6,6,12,12,6,6,
24,2,6,9,8,8,8,6,6,6,6,6,6,6,2,8,1,6,2,1,1],[1,7,24,15,9,8,32,2,9,18,36,6,27,
24,18,36,36,36,15,12,32,32,96,32,24,18,6,9,36,18,6,18,8,36,18,9,9,18,36,36,18,
18,18,6,18,18,18,16,16,24,2,8,16,24,24,48,18,18,18,9,18,18,6,9,6,1,9,18,9,3,9,
18,16,32,24,6,16,8,24,8,24,9,6,9,1,9,9,8,16,2,12,12,2,6,6,3,8,6,2,2,2,1,3,1,1,
2,1],[1,6,24,9,36,8,32,2,72,6,36,18,18,36,36,36,9,18,24,96,32,48,96,36,6,18,
36,6,36,9,18,9,36,9,36,36,36,18,18,18,18,16,24,24,2,8,16,96,24,18,9,18,18,18,
9,1,18,18,36,36,16,32,24,48,6,24,12,24,24,9,6,18,9,9,16,8,2,6,6,2,24,9,8,6,6,
6,2,1,6,1,2,1],[1,6,9,36,72,5,8,72,6,2,6,36,36,6,18,24,72,36,72,72,9,72,24,36,
24,18,9,60,28,36,72,24,36,24,36,6,36,36,36,36,72,72,36,36,36,36,36,24,36,36,
36,9,36,72,3,6,12,12,3,4,12,6,24,60,36,48,60,24,12,6,72,12,18,24,8,6,1,72,8,
24,6,2,8,9,18,12,18,18,3,6,9,9,18,18,3,9,36,36,12,36,1,36,9,36,6,36,18,36,36,
12,12,4,16,20,12,12,12,12,18,12,24,12,6,12,12,6,3,3,24,3,8,6,9,12,9,24,24,12,
6,24,12,5,24,12,12,12,24,12,6,24,3,18,12,18,9,18,18,18,9,8,12,4,8,12,1,8,8,18,
6,9,4,6,1,6,1,18,6,3,24,1,6,3,6,12,9,4,6,12,3,12,6,1,3,12,2,12,3,3,12,12,3,3,
6,6,9,8,4,4,3,4,3,2,1,8,2,3,6,3,3,1,3,3,6,6,3,3,3,6,4,6,6,3,1,1,2,4,1,1,3,1,3,
2,3,3,1,1,1,1,1,1,1,1],[1,6,12,9,12,36,8,32,2,6,18,36,18,72,18,36,18,18,9,18,
18,24,16,48,16,48,48,96,36,3,18,36,6,36,9,18,18,18,9,18,18,9,9,18,9,3,18,18,
18,18,18,18,16,24,24,2,8,48,16,48,24,9,9,9,9,18,18,9,9,18,18,18,1,18,18,18,16,
16,16,24,48,6,12,12,12,12,12,24,9,3,3,9,9,9,9,16,8,12,2,6,6,2,12,9,8,3,3,6,6,
1,1,1,3,3,1,1,1,1],[1,9,27,27,48,64,3,27,81,162,18,36,81,54,162,27,144,162,27,
81,324,18,162,27,216,81,27,27,27,162,54,64,48,144,144,24,48,36,36,162,54,27,
27,3,81,162,18,81,108,72,27,27,9,48,36,36,36,12,3,24,1,9,12,3,1,1],[1,9,27,27,
8,32,3,27,81,162,18,36,81,54,162,27,96,48,72,162,27,81,324,18,162,27,216,81,
27,27,27,162,54,16,144,48,2,16,16,32,24,72,36,162,54,27,27,3,81,162,18,81,48,
72,18,48,12,48,72,27,27,9,16,8,4,12,24,8,2,16,36,18,1,24,6,12,18,8,1,2,2,3,
1],[1,6,9,36,8,32,18,2,6,18,18,36,9,72,36,24,48,96,36,6,36,9,9,18,36,36,36,9,
16,24,2,24,8,16,24,9,18,9,1,18,18,18,16,48,6,24,12,24,9,9,9,16,8,2,6,2,6,9,8,
6,6,1,1,1],[1,6,24,9,36,8,32,18,2,6,72,18,18,36,36,36,9,36,24,96,32,48,96,36,
6,18,6,9,18,18,9,18,18,36,36,36,18,36,36,9,36,16,24,2,24,8,16,24,96,18,9,18,
18,18,9,18,36,1,18,36,16,32,48,6,24,24,24,12,24,9,6,9,9,18,16,8,2,6,2,6,24,9,
8,6,6,6,2,1,6,1,2,1],[1,9,27,27,4,16,128,3,27,81,162,18,36,81,54,162,27,48,24,
36,162,27,81,324,18,162,27,216,81,27,27,27,162,54,64,96,288,72,24,1,8,288,8,
16,12,36,36,162,54,27,27,3,81,162,18,81,36,9,24,6,24,36,27,27,9,16,48,32,72,2,
72,6,12,24,4,1,8,18,9,1,3,6,9,12,4,8,1,2,1,1],[1,6,9,36,8,32,2,6,36,18,18,36,
9,72,18,24,48,96,36,36,6,36,36,9,18,9,9,36,16,24,24,2,8,16,24,9,9,1,18,18,18,
18,16,24,48,6,12,24,9,9,9,16,8,2,6,6,2,9,8,6,6,1,1,1],[1,6,24,9,36,8,32,2,6,
36,18,18,36,36,36,9,72,18,24,96,32,48,96,36,6,36,6,18,36,9,36,18,18,9,36,9,36,
18,36,18,18,16,24,24,2,8,96,16,24,9,18,18,18,18,9,1,18,18,36,36,16,32,24,48,6,
24,12,24,24,9,6,9,18,9,8,16,2,6,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,9,24,36,8,
32,18,2,6,36,18,72,18,36,9,36,36,24,32,96,48,96,36,36,6,36,9,9,18,18,36,18,18,
6,18,18,36,36,36,9,16,24,2,24,8,16,24,96,9,18,18,18,9,18,18,1,18,36,36,32,16,
48,6,24,24,12,24,24,9,6,18,9,9,16,8,2,6,24,2,6,9,8,6,6,6,2,1,6,1,2,1],[1,6,9,
16,12,1,16,32,6,2,6,24,6,24,18,12,9,24,12,32,6,16,16,9,16,12,16,12,24,6,12,9,
3,6,6,12,6,12,4,6,6,24,12,12,3,16,6,12,6,24,16,24,18,6,12,2,24,8,12,16,9,24,3,
6,6,12,3,6,12,1,6,12,12,16,16,16,4,12,12,6,6,24,6,12,12,8,12,24,6,8,3,3,6,4,9,
12,6,12,4,3,4,6,3,3,16,12,8,6,6,12,12,4,2,1,1,6,6,3,3,12,12,3,4,12,8,4,3,1,6,
4,3,1,3,2,1,1,4,3,1,1,1,1,1],[1,6,9,48,36,8,32,36,18,2,6,36,18,18,18,42,72,18,
36,36,9,36,42,36,24,24,56,48,96,18,42,36,6,18,36,36,18,36,72,36,36,36,36,18,
12,18,18,18,9,36,36,9,18,36,36,9,16,24,48,48,24,24,24,2,24,24,8,16,24,18,6,18,
18,9,18,9,9,18,18,9,9,18,18,6,18,1,36,9,18,18,36,18,36,36,16,32,8,48,6,24,24,
6,24,24,14,24,24,24,12,9,18,6,18,9,18,18,18,9,8,16,6,2,6,24,12,6,12,6,2,6,6,9,
8,8,8,6,6,6,6,6,6,6,2,1,8,6,2,1,1],[1,7,12,15,12,9,8,32,2,9,18,36,6,18,27,24,
18,18,18,15,18,36,12,32,32,16,48,16,24,48,18,6,9,36,3,18,8,36,18,18,18,18,9,9,
18,18,18,9,18,9,3,18,18,6,18,18,16,24,2,8,16,24,48,16,24,9,18,18,9,18,9,9,9,6,
9,6,1,9,18,9,3,18,9,16,16,16,24,6,16,8,12,8,12,12,12,9,9,9,3,3,1,9,16,8,2,12,
12,2,6,6,3,8,3,3,2,2,1,1,1,3,1,1,1,1,1],[1,3,30,3,10,6,18,9,4,4,32,3,1,9,18,
18,36,1,3,36,6,3,9,12,72,9,9,18,27,18,54,9,30,36,9,54,30,9,12,32,4,12,12,40,
12,4,24,12,4,3,3,9,9,18,3,9,18,9,9,18,3,9,54,6,9,9,36,9,9,3,18,9,9,9,9,9,9,9,
9,9,9,1,9,9,9,72,9,9,3,27,27,9,24,3,3,9,36,9,10,18,9,3,72,9,36,9,9,9,36,16,12,
12,12,8,12,36,12,24,4,1,12,12,8,12,12,12,4,1,12,12,4,12,12,48,9,9,9,3,12,18,9,
3,9,9,9,9,9,9,9,9,3,9,18,9,9,9,9,9,9,9,9,18,9,9,9,9,9,9,1,9,9,9,9,3,3,3,9,9,9,
9,9,9,9,9,9,9,36,9,16,16,16,4,10,3,4,12,3,12,12,12,12,12,4,3,8,24,3,1,12,8,12,
12,12,1,1,3,6,4,3,3,9,9,9,3,9,9,9,3,3,9,1,9,3,16,4,4,4,3,2,3,1,1,1,3,3,3,9,3,
3,3,3,3,3,12,3,3,12,3,3,4,4,4,4,4,4,3,3,1,3,1,3,3,1,3,1,3,2,3,3,3,1,4,4,1,3,1,
1,1,1],[1,18,27,3,6,4,36,27,81,27,36,36,6,18,18,18,27,18,81,12,3,4,24,6,27,27,
27,18,27,6,36,12,18,6,3,18,18,27,27,4,1,8,9,3,18,9,4,3,6,9,4,3,1,3,4,3,1,1],[
1,9,27,4,12,27,4,24,2,3,27,81,162,12,12,18,12,36,2,6,81,54,4,162,12,12,12,27,
24,48,48,4,6,24,36,16,162,27,12,81,4,324,12,12,18,12,162,27,216,81,12,12,24,
12,24,12,24,24,27,12,4,6,12,12,6,12,27,27,6,6,24,1,2,12,162,6,6,4,3,3,6,6,12,
12,24,24,24,24,12,12,12,12,24,24,24,54,4,6,12,1,8,16,32,8,72,24,1,16,8,36,36,
4,3,24,162,24,12,6,12,12,1,12,2,6,3,3,2,12,12,12,1,12,6,6,6,6,2,54,6,27,12,12,
12,12,3,12,12,12,24,12,12,4,12,12,12,6,6,27,3,6,6,3,81,162,3,12,12,12,12,3,12,
12,12,6,6,24,2,12,6,6,3,12,12,18,81,48,6,6,12,12,12,12,16,9,16,6,4,4,24,36,16,
8,16,16,4,2,1,4,6,6,12,1,6,6,1,3,27,3,27,6,6,6,6,3,6,4,6,6,3,12,4,3,3,12,9,3,
6,6,12,6,6,3,6,3,12,6,12,12,12,6,12,12,12,6,6,6,12,6,6,6,6,12,6,8,2,8,6,8,2,2,
4,4,4,8,18,4,4,9,8,6,1,2,6,6,2,6,3,3,6,6,6,3,1,6,12,6,6,3,1,3,12,3,3,3,1,2,1,
6,4,4,4,4,4,4,9,4,4,3,3,3,3,3,1,3,1,4,1,2,1,2,2,2,3,1,1,1,1],[1,5,24,11,8,28,
36,15,4,72,14,1,3,27,30,36,12,24,2,4,24,72,24,36,12,2,30,8,48,21,10,12,42,72,
36,36,36,12,72,12,7,24,24,24,12,48,72,48,24,28,18,24,8,32,20,16,16,16,6,5,12,
15,48,12,36,12,72,6,48,6,6,36,12,4,12,2,12,18,3,36,24,3,48,12,60,72,72,12,24,
4,36,24,24,24,36,24,6,12,24,12,12,3,72,12,4,18,36,12,18,12,1,3,12,24,18,6,36,
12,12,6,24,6,6,7,6,12,12,30,18,48,18,24,2,12,12,12,6,12,9,12,12,2,15,12,48,48,
6,2,6,36,12,12,6,24,24,24,24,12,36,12,12,6,2,12,36,2,6,6,6,48,12,12,24,2,24,
24,36,36,12,4,48,6,4,12,24,12,8,12,12,4,24,48,24,6,36,48,1,12,24,12,12,12,12,
12,6,48,24,16,8,16,32,16,8,32,8,16,48,16,16,16,8,8,1,16,4,32,6,12,12,4,3,12,6,
24,12,12,12,6,18,6,12,12,6,6,1,12,12,12,6,3,18,2,9,24,12,12,12,2,6,6,24,12,6,
12,12,12,6,12,8,12,2,6,6,12,12,18,18,6,6,24,12,12,12,6,2,6,4,12,6,12,2,3,12,6,
12,12,12,12,6,12,12,24,12,12,12,12,12,12,36,12,4,18,12,12,6,1,12,36,6,12,24,9,
12,12,12,3,24,12,48,12,12,12,24,12,15,12,12,12,12,12,12,12,12,12,12,6,12,12,
24,6,6,12,12,12,6,24,24,12,24,24,12,24,24,12,24,6,12,4,12,12,3,12,12,12,12,12,
6,6,12,12,6,12,12,12,12,24,24,12,2,3,12,6,48,12,12,12,48,12,6,12,12,12,6,6,6,
24,18,12,36,4,24,12,12,12,12,24,6,6,12,12,12,24,12,24,6,12,12,12,36,12,12,12,
12,12,6,12,12,6,12,12,12,12,24,12,12,12,24,12,24,24,12,6,24,24,6,6,12,12,8,8,
8,16,8,5,8,16,8,16,16,16,8,16,2,16,8,4,4,4,4,32,16,4,8,16,32,16,16,4,12,6,12,
4,1,4,12,6,12,6,12,12,12,12,6,6,6,12,12,1,12,6,4,1,6,6,12,12,12,12,12,12,12,6,
6,6,6,6,3,6,12,6,12,12,6,12,6,12,3,12,12,12,24,12,2,12,12,12,12,6,6,6,12,12,
12,6,12,6,3,12,12,12,6,12,12,4,12,24,2,12,12,12,12,12,12,6,12,6,12,12,12,12,2,
12,3,6,12,3,24,12,3,6,6,6,12,9,6,3,12,12,2,12,12,12,12,6,6,12,6,6,12,6,12,9,3,
12,6,6,6,2,24,2,12,12,12,3,12,12,12,4,6,12,12,6,1,12,12,6,6,12,6,6,16,2,4,2,8,
2,4,8,4,2,2,8,12,4,8,4,16,4,4,8,4,8,4,4,4,1,16,16,8,8,8,6,12,6,3,2,6,12,12,6,
12,6,3,12,3,6,6,6,6,6,6,3,6,2,6,6,3,3,3,6,12,3,6,6,3,2,6,1,4,12,12,12,3,6,12,
12,4,12,6,6,4,4,1,2,4,2,2,4,1,2,4,8,4,2,2,4,4,4,8,4,4,4,2,2,4,8,1,8,4,3,3,3,6,
6,6,3,3,1,6,3,1,2,4,1,2,1,2,2,4,4,2,4,4,2,3,2,1,2,1,1,1],[1,9,27,28,84,27,4,
168,14,3,27,81,162,84,84,18,72,24,84,36,14,42,81,54,28,162,72,84,84,84,27,168,
28,42,24,24,36,48,16,16,162,27,84,81,28,324,72,84,84,18,84,162,27,216,81,84,
72,72,72,72,84,168,84,168,72,72,36,72,36,72,84,27,84,28,42,84,84,42,84,27,27,
36,42,42,36,168,7,14,84,162,42,42,24,28,21,21,42,42,84,84,84,84,84,84,168,54,
28,24,72,42,84,7,16,8,48,48,16,32,48,16,24,8,24,72,48,8,24,1,8,16,8,36,36,36,
36,28,21,168,36,162,168,36,36,84,18,42,84,84,7,84,14,42,21,18,21,36,14,18,84,
84,36,36,36,84,18,36,7,18,84,42,42,42,42,18,14,54,42,27,21,84,84,84,84,28,84,
84,84,42,42,27,3,42,42,72,21,36,81,162,21,72,36,84,21,36,18,84,84,42,42,14,84,
42,72,36,36,42,21,84,36,72,72,18,81,12,42,42,36,72,36,84,36,36,72,36,84,12,72,
36,18,16,24,16,24,9,24,16,48,24,16,16,6,4,16,4,8,24,12,16,36,48,16,16,8,16,24,
4,16,16,24,16,16,24,4,14,7,28,36,42,42,36,84,7,42,7,21,36,27,36,21,27,42,36,
42,42,9,21,28,42,12,21,18,36,18,9,84,12,12,6,3,36,28,36,21,21,84,36,9,36,36,
36,36,21,12,9,42,42,84,42,18,3,18,9,9,18,18,21,42,21,36,36,36,36,36,36,36,36,
42,18,18,36,9,18,18,18,84,36,36,18,42,18,18,42,18,8,12,8,8,2,8,2,8,4,6,6,12,
16,6,2,2,4,8,4,4,8,24,12,8,4,24,4,16,8,2,4,24,16,4,4,16,24,18,4,4,9,8,12,8,18,
3,1,14,18,42,18,18,18,18,9,14,18,18,18,9,21,21,18,42,9,18,9,36,9,9,18,9,18,7,
9,18,36,18,18,9,6,9,7,18,21,21,3,4,4,1,8,4,4,4,2,6,1,4,2,12,6,12,6,4,4,8,6,6,
4,4,6,4,4,4,6,8,8,6,8,8,9,4,4,4,4,9,9,9,18,18,9,7,9,3,2,2,1,1,6,4,4,1,2,6,1,6,
4,1,2,2,1,1,2,2,6,2,4,2,4,2,3,2,2,2,2,1,1,1,2,2,1],[1,3,24,15,24,12,12,13,64,
24,6,9,12,48,12,6,12,24,24,8,24,8,6,6,24,48,15,12,42,24,12,12,36,60,3,36,72,
48,24,12,6,8,64,64,64,30,3,36,24,24,6,48,6,12,12,12,4,36,32,12,12,12,24,24,12,
24,24,12,12,24,4,6,12,12,3,1,6,12,12,6,6,3,12,12,12,12,48,8,6,12,12,24,6,3,12,
12,6,3,48,48,6,6,12,12,24,24,24,30,6,12,6,12,12,24,6,24,36,24,12,6,12,12,12,
12,24,12,8,6,3,24,24,12,24,60,60,12,24,32,48,32,32,64,4,3,12,24,12,12,6,6,6,
12,3,6,6,12,12,6,12,24,36,6,12,12,12,12,6,30,6,12,12,24,24,6,12,6,12,6,12,12,
6,12,12,12,12,12,12,12,12,6,3,12,6,6,3,12,3,12,12,12,12,12,24,24,6,12,12,3,12,
12,24,6,24,24,3,6,12,4,48,6,24,6,12,12,12,12,12,6,12,12,12,12,6,4,24,12,12,6,
24,6,6,12,48,32,16,16,16,16,32,16,32,16,32,32,12,6,6,6,6,3,1,6,6,6,3,6,6,6,6,
12,12,12,12,2,1,12,6,12,6,3,12,12,12,6,12,12,12,6,12,1,6,12,6,3,6,12,6,6,6,6,
3,6,12,12,3,12,6,3,6,6,12,12,3,6,6,12,6,4,16,16,16,32,4,4,6,6,6,3,3,6,3,6,6,3,
6,3,6,12,3,6,3,6,6,6,6,12,6,6,4,4,8,4,4,4,4,4,4,4,3,3,3,3,3,1,3,4,4,4,3,1,1],[
1,5,11,4,60,15,4,24,2,1,3,27,30,12,36,2,8,36,12,14,18,21,10,12,42,60,12,36,24,
7,72,48,48,4,30,8,20,32,16,6,5,24,15,36,24,12,12,2,12,18,3,24,3,12,72,72,12,
24,48,24,24,24,24,24,3,24,4,6,12,36,6,12,1,3,6,18,24,1,6,12,30,18,6,24,24,15,
9,18,4,18,12,36,24,24,24,24,24,12,60,36,48,24,24,6,4,24,18,36,7,8,16,16,16,32,
8,32,8,16,8,1,8,16,4,12,4,3,24,6,12,12,12,6,1,6,6,9,3,12,2,18,12,12,12,12,12,
12,12,18,6,12,6,18,18,2,4,6,3,12,12,12,12,12,12,24,12,2,12,12,36,8,6,18,1,12,
6,3,12,9,12,12,3,6,6,12,24,12,6,12,12,15,12,12,2,3,48,12,18,12,24,36,12,36,24,
24,12,24,12,12,6,16,16,5,16,16,16,2,4,4,8,16,4,16,8,16,8,4,1,4,12,6,12,6,1,1,
12,12,6,3,3,6,6,12,12,3,12,12,12,3,9,6,12,6,6,6,3,6,6,6,3,6,9,4,12,6,12,6,6,
12,6,6,12,1,3,12,12,12,6,6,6,3,3,6,6,12,4,8,2,4,8,2,2,2,4,8,2,8,8,4,4,4,4,1,4,
8,6,6,6,6,6,6,3,3,6,3,2,3,6,3,3,3,1,3,6,3,3,6,6,4,1,4,4,4,1,4,2,4,2,4,4,1,4,4,
4,3,3,3,3,3,3,1,1,2,1,1,2,4,2,2,3,1,1,1,1],[1,5,24,11,8,4,60,15,4,24,2,1,3,27,
30,12,36,24,2,4,24,36,12,14,18,8,48,21,10,12,42,60,12,36,36,72,12,7,24,24,72,
12,72,24,4,30,8,32,20,32,16,6,5,24,15,36,12,6,6,6,36,12,4,12,2,12,18,3,36,24,
3,12,12,72,72,12,24,4,48,24,24,24,6,24,24,12,24,3,72,24,4,6,12,36,6,12,1,3,24,
6,18,12,12,6,24,6,6,1,6,12,12,30,18,6,2,12,12,12,6,15,12,12,2,9,12,18,2,18,12,
36,12,6,12,12,24,6,2,60,36,2,6,6,6,48,12,12,48,2,36,36,12,4,48,6,4,12,24,12,8,
12,12,4,48,24,18,36,7,12,24,12,12,12,12,12,6,24,8,16,16,16,8,16,48,8,16,8,1,8,
16,4,32,6,12,4,3,24,6,12,12,12,6,12,6,6,6,1,12,12,6,6,9,2,3,12,12,12,2,6,6,18,
12,6,12,12,12,12,6,12,12,12,8,12,18,2,6,12,12,12,6,18,18,12,12,12,2,6,4,12,6,
12,2,3,12,6,12,12,12,6,12,12,12,12,12,12,12,12,12,12,36,4,6,12,18,12,6,1,12,
36,12,6,3,12,12,9,24,12,12,12,12,12,3,12,6,12,12,12,12,6,12,12,12,12,12,12,6,
12,12,12,6,24,24,12,24,12,24,6,12,24,4,12,12,15,12,12,12,12,6,6,12,12,6,12,12,
12,12,12,2,3,12,6,12,12,12,12,12,6,12,12,12,24,6,6,6,24,18,12,4,24,36,12,12,
12,12,12,6,36,6,12,12,12,6,12,12,12,24,12,12,12,12,6,12,12,6,12,12,12,12,12,
12,12,24,24,12,6,6,6,12,12,12,6,8,8,16,8,8,5,8,16,8,16,16,16,16,16,2,16,8,4,4,
8,16,4,16,8,8,16,4,12,6,12,4,1,4,12,6,6,12,12,12,12,6,12,12,1,12,6,4,1,6,6,12,
12,12,12,12,12,12,12,6,6,6,6,3,6,6,3,6,6,12,12,6,6,12,12,12,12,12,12,12,12,12,
12,3,2,12,12,12,6,6,6,12,12,12,12,12,12,12,6,12,6,3,12,12,6,9,12,12,6,4,12,2,
12,12,12,12,6,12,12,12,12,12,2,12,6,6,12,3,6,12,3,6,6,12,3,6,9,12,2,12,12,6,6,
6,6,12,6,3,6,12,12,2,12,12,2,6,3,12,12,12,12,6,6,12,6,12,6,4,12,6,6,12,12,1,6,
12,4,2,8,4,2,2,2,16,12,4,8,2,8,8,4,8,4,8,4,4,4,1,16,16,16,4,8,6,6,12,2,6,12,
12,6,6,3,12,6,6,6,6,3,3,6,2,3,6,6,12,3,6,12,3,6,6,3,6,12,2,12,3,1,4,12,12,6,6,
12,3,6,6,12,3,4,6,4,4,4,1,2,4,2,2,1,8,2,4,2,2,4,8,4,2,4,4,2,4,4,1,4,4,4,3,3,3,
3,3,6,6,1,3,6,6,1,2,4,1,4,2,2,1,2,4,2,4,4,2,3,2,2,1,1,1,1],[1,9,24,27,8,4,12,
27,4,24,2,3,27,81,162,12,12,24,18,12,24,12,36,2,6,8,48,81,54,4,162,12,12,36,
12,72,36,27,24,24,24,12,72,24,4,6,24,32,36,16,162,27,12,81,4,324,36,6,6,6,36,
12,12,12,18,12,162,27,36,216,81,36,12,12,24,4,12,24,6,12,36,27,72,12,4,6,12,
12,6,12,27,27,24,6,6,36,12,6,24,6,6,1,2,12,12,162,6,6,2,12,36,36,6,4,3,36,12,
2,3,12,6,6,6,12,12,36,6,12,12,12,12,18,2,12,12,2,6,6,6,48,12,12,24,2,36,36,36,
12,48,54,4,12,24,12,8,12,36,4,48,6,12,1,36,24,12,36,36,36,12,6,24,8,16,8,48,
48,72,24,1,16,8,36,32,6,36,4,3,24,162,24,12,6,12,6,12,12,6,6,1,12,12,12,2,6,3,
2,3,12,12,2,18,6,36,12,36,36,18,36,12,12,36,18,8,12,18,6,18,1,12,12,12,6,6,6,
6,12,36,36,2,6,54,36,6,12,2,27,12,6,12,3,18,12,12,12,12,6,12,12,12,4,12,12,12,
12,12,12,6,36,6,12,6,27,12,3,36,6,6,3,12,81,162,3,12,12,12,3,36,12,12,12,12,
12,6,12,12,12,6,12,12,6,2,12,12,12,6,12,6,12,4,12,6,3,12,12,36,36,6,6,36,12,6,
12,12,36,36,36,18,81,12,6,12,12,12,12,6,12,12,12,6,6,6,6,6,4,12,12,12,12,12,6,
6,12,36,12,6,12,12,12,12,36,12,12,12,18,12,36,6,12,12,12,12,12,12,24,12,6,6,
18,12,12,8,8,16,24,8,9,8,48,8,16,16,16,6,48,8,4,4,24,36,16,8,4,12,18,6,18,4,2,
1,4,12,6,6,6,6,18,12,12,12,1,6,6,12,12,1,12,6,3,12,27,6,6,36,3,27,12,12,12,6,
36,12,6,18,6,6,6,6,6,18,6,3,4,6,6,3,12,12,6,12,12,12,12,12,2,12,2,12,4,3,3,12,
9,6,6,6,12,2,6,12,18,12,18,3,12,12,18,12,6,4,2,12,6,12,6,6,12,12,12,12,2,12,
12,18,12,3,6,3,6,3,36,6,12,6,6,18,6,6,6,6,3,2,2,12,1,3,3,36,6,3,3,12,6,6,12,1,
6,6,8,2,8,24,6,24,2,2,4,12,4,8,12,8,4,18,4,4,9,16,16,8,6,3,2,6,1,2,12,6,6,3,2,
6,6,6,3,3,3,6,6,6,6,6,6,3,1,6,6,2,6,3,18,1,3,4,3,6,3,12,3,3,3,3,3,18,6,4,1,6,
6,6,4,8,12,1,2,8,6,2,2,4,1,2,6,4,2,4,12,4,2,4,9,4,4,3,6,3,3,6,1,3,1,2,2,1,1,1,
4,2,4,6,1,4,2,6,2,2,1,2,1,2,1,1,1],[1,5,11,28,36,15,4,72,14,1,3,27,30,36,12,2,
8,72,24,36,12,2,30,21,10,12,42,72,36,36,12,24,7,24,28,18,24,8,20,16,16,16,6,5,
12,15,12,36,24,72,12,12,2,12,18,3,24,3,60,72,72,12,24,36,24,24,24,36,24,12,24,
12,24,24,24,3,12,4,18,36,12,18,12,1,3,12,18,6,36,24,7,6,12,30,18,18,24,24,24,
12,9,15,6,4,6,36,12,36,12,12,12,36,24,6,4,24,24,6,36,1,16,8,16,32,16,8,8,32,
16,16,16,8,8,1,16,4,12,12,4,3,12,6,24,12,12,18,6,12,12,1,12,6,3,18,9,12,2,12,
12,12,12,6,6,18,18,6,6,6,2,4,6,3,12,12,12,12,12,12,2,36,12,8,18,1,6,12,24,9,
12,12,3,24,12,12,12,12,15,12,12,12,12,6,6,12,6,24,12,12,12,3,12,24,24,2,3,18,
12,36,24,24,12,24,24,36,12,12,12,24,12,16,16,5,16,16,8,2,4,4,4,4,16,4,8,16,16,
16,4,1,4,12,6,12,6,1,1,12,6,6,3,6,12,12,6,3,12,12,12,3,12,12,6,3,6,6,3,6,9,6,
3,12,12,12,4,12,6,6,6,9,6,12,6,12,1,6,3,12,6,12,3,3,6,6,6,6,6,2,8,4,2,2,4,4,2,
2,8,4,8,4,4,4,8,8,4,4,4,1,8,3,6,6,3,6,6,6,3,3,3,6,3,3,3,6,2,6,1,3,3,6,6,6,1,4,
4,4,4,1,4,4,2,4,4,4,4,2,1,4,3,3,3,3,3,3,1,1,2,1,2,2,1,2,4,3,1,1,1,1],[1,9,27,
12,36,27,64,72,6,3,27,81,162,36,36,18,24,8,36,36,6,18,81,54,12,162,24,36,36,
36,27,72,12,18,8,192,162,27,36,81,12,324,24,36,36,18,36,162,27,216,81,36,24,
24,24,24,36,72,36,72,24,24,12,24,12,24,36,27,36,12,18,36,36,18,36,27,27,12,18,
18,12,72,3,6,36,162,18,18,8,12,9,9,18,18,36,36,36,36,36,36,72,54,12,8,24,18,
36,3,32,48,64,32,32,12,12,36,12,9,72,12,162,72,12,12,36,6,18,36,36,3,36,6,18,
9,6,9,12,6,6,36,36,12,12,12,36,6,12,3,6,36,18,18,18,18,6,6,54,18,27,9,36,36,
36,36,12,36,36,36,18,18,27,3,18,18,24,9,12,81,162,9,24,12,36,9,12,6,36,36,18,
18,6,36,18,24,12,12,18,9,36,12,24,24,18,81,4,18,18,12,24,12,36,12,12,24,12,36,
4,24,12,6,32,48,32,48,96,48,6,3,12,12,18,18,12,36,3,18,3,9,12,27,12,9,27,18,
12,18,18,3,9,12,18,4,9,6,12,6,3,36,4,4,2,1,12,12,12,9,9,36,12,9,12,12,12,12,9,
4,3,18,18,36,18,6,1,6,3,3,6,6,9,18,9,12,12,12,12,12,12,12,12,18,6,6,12,3,6,6,
6,36,12,12,6,18,6,6,18,6,48,4,32,4,4,6,1,1,6,6,18,6,6,6,6,3,6,6,6,6,3,9,9,6,
18,3,6,3,12,3,3,6,3,6,3,3,6,12,6,6,3,2,3,3,6,9,9,1,12,8,4,4,4,4,4,4,3,3,3,6,6,
3,3,3,1,4,8,4,4,1,1,1],[1,3,48,15,12,12,13,64,24,6,9,12,48,12,24,6,24,48,24,8,
24,8,6,6,15,12,42,24,12,12,72,72,48,3,24,24,48,12,6,8,64,128,30,3,48,36,12,24,
12,12,6,36,12,12,4,32,12,48,48,12,24,24,24,24,12,6,24,24,4,6,12,12,3,1,24,6,
12,48,12,12,6,12,3,12,12,12,8,24,12,12,3,24,3,12,12,6,12,24,6,24,24,12,24,12,
24,12,6,6,6,24,24,24,36,36,6,12,24,36,8,6,48,3,36,24,36,6,48,32,48,64,32,32,6,
4,3,12,24,12,12,6,6,12,6,6,3,12,6,12,12,6,36,24,24,12,12,18,12,6,6,12,12,6,6,
24,12,12,12,6,6,12,6,24,24,12,12,3,6,6,3,48,12,12,12,24,3,12,12,12,12,6,24,24,
24,24,3,24,24,6,6,12,12,24,3,4,12,12,6,12,6,6,6,12,12,12,6,6,12,12,12,12,18,
12,12,12,4,12,24,12,12,32,32,32,16,32,32,16,32,16,32,32,12,12,6,12,6,6,12,12,
3,1,6,6,3,6,6,6,6,6,6,6,2,1,12,6,12,6,12,12,12,6,3,6,6,12,12,1,6,3,12,3,12,24,
12,6,12,6,6,6,6,6,3,3,12,6,12,3,12,6,12,6,6,6,4,16,16,16,32,4,4,6,6,3,6,12,6,
6,3,6,3,6,6,6,3,3,6,6,3,6,6,12,3,6,6,4,8,8,4,4,4,4,4,4,3,3,3,3,3,1,3,4,4,4,3,
1,1],[1,9,48,27,16,12,36,27,16,72,6,3,27,81,162,36,36,72,18,24,72,36,36,6,18,
24,144,81,54,12,162,36,36,72,36,144,72,27,48,72,72,24,144,48,12,18,48,16,48,
48,16,48,16,162,27,36,81,12,324,72,12,18,18,72,36,24,36,18,36,162,27,72,216,
81,72,36,36,72,12,36,72,18,36,72,27,144,36,12,18,36,36,18,36,27,27,72,18,18,
72,36,18,72,18,18,3,6,36,36,162,18,18,6,36,72,72,18,12,9,72,36,6,9,36,18,12,
18,36,36,72,18,36,36,36,36,36,4,36,36,6,18,18,18,144,36,36,72,6,72,72,72,24,
96,54,12,36,72,36,16,36,72,12,144,18,36,3,72,72,36,72,72,72,36,18,72,48,48,48,
48,48,8,48,48,16,12,48,48,16,48,48,18,36,12,9,72,162,72,36,18,36,18,36,36,18,
18,3,36,36,36,6,18,9,6,9,36,36,6,36,18,72,36,72,72,36,72,36,36,72,36,24,36,36,
12,36,3,36,36,36,18,18,18,18,36,72,72,6,18,54,72,18,36,6,27,36,18,36,9,36,36,
36,36,36,12,36,36,36,12,36,36,36,36,36,24,18,72,18,36,18,27,36,3,72,18,18,9,
36,81,162,9,36,36,36,9,72,36,36,36,36,36,18,24,36,36,18,36,36,18,6,36,36,36,
18,36,18,36,12,36,18,9,36,36,72,72,18,18,72,36,18,36,36,72,72,72,18,81,36,18,
36,36,36,36,18,36,36,36,12,12,18,18,18,12,36,36,36,36,36,18,18,36,72,36,18,36,
36,36,36,72,36,36,36,36,36,72,18,36,36,36,36,36,36,72,36,18,18,36,36,36,36,16,
24,8,16,24,12,36,4,48,48,48,48,12,4,12,16,36,36,18,36,12,6,3,12,36,18,18,18,
18,36,36,36,36,3,18,18,36,36,3,36,18,9,24,27,18,18,72,9,27,36,36,36,18,72,36,
18,36,18,18,12,18,18,36,18,9,12,18,18,9,36,36,18,36,36,36,36,36,4,36,6,24,12,
9,9,36,9,18,18,18,36,6,18,36,36,36,36,9,36,36,36,36,18,12,6,36,18,36,18,18,36,
36,36,36,4,36,36,36,36,9,18,9,18,9,72,12,36,18,18,36,18,18,18,18,9,6,6,36,3,9,
9,72,18,9,9,24,18,18,36,3,18,18,24,16,12,24,36,4,12,36,12,12,12,12,1,8,12,12,
12,12,18,9,6,18,1,6,36,18,18,9,6,18,12,12,9,9,9,12,18,18,18,18,18,9,3,12,18,6,
18,9,36,3,9,12,9,18,9,36,9,9,9,9,9,36,18,12,3,18,18,18,1,12,12,12,3,12,4,3,3,
1,4,8,3,1,12,9,18,9,9,18,3,9,3,6,4,3,3,3,4,3,3,1,3,3,1,3,3,3,3,3,3,3,3,3,3,1,
1,1,1],[1,3,18,6,45,27,6,18,16,1,27,27,9,54,18,54,27,27,18,27,54,54,18,18,54,
6,48,6,2,18,6,24,18,6,42,72,18,54,18,54,54,27,9,27,54,54,54,27,27,27,6,54,27,
9,16,24,18,72,36,18,18,36,4,6,18,6,1,18,6,18,2,18,18,4,18,18,2,18,18,6,6,18,
36,27,9,27,27,27,27,27,3,2,16,72,3,8,9,6,24,60,6,6,2,12,6,18,6,18,18,12,18,18,
18,6,18,18,36,18,9,6,4,27,6,3,6,6,6,3,4,1,6,3,1,6,3,2,24,2,6,4,3,6,30,6,18,9,
9,9,12,8,6,6,3,3,6,12,1,6,3,6,6,6,2,4,2,6,2,6,6,6,3,3,3,9,4,4,1,4,3,3,3,3,3,1,
6,3,6,1,2,4,2,3,1,1,1,1],[1,6,9,18,54,9,48,64,54,2,6,27,18,9,27,54,54,9,54,9,
48,30,9,54,18,72,72,24,27,9,6,27,27,54,27,18,27,27,27,9,54,24,64,96,18,54,54,
36,9,32,72,9,18,18,3,6,2,72,3,36,10,48,20,16,24,9,9,27,27,9,27,1,27,24,96,12,
4,72,18,9,9,9,18,18,9,6,12,6,3,6,9,9,18,36,9,3,9,9,18,24,16,9,12,12,32,8,12,
12,10,16,24,32,18,9,3,2,18,4,1,9,9,3,9,9,2,9,4,9,9,16,3,24,4,6,24,18,1,12,12,
6,9,3,3,8,3,3,4,2,1,3,2,4,3,4,4,1,3,3,6,1,1],[1,6,9,12,9,48,64,2,6,18,18,9,18,
48,96,30,16,12,9,48,18,6,9,9,3,18,24,64,96,18,32,18,18,6,2,10,48,20,16,24,9,9,
9,1,24,16,32,16,48,3,9,18,12,6,18,24,6,12,9,12,16,3,32,8,10,16,24,32,2,9,9,4,
1,2,4,16,12,6,12,3,3,6,1,8,4,2,1,2,4,1,1,3,2,1,1],[1,6,9,36,9,48,64,18,2,6,18,
18,36,9,36,48,30,9,48,36,96,36,6,9,9,18,36,36,9,24,64,96,18,36,18,32,18,24,6,
2,24,36,10,48,20,16,24,9,9,18,9,1,18,24,96,16,48,36,36,48,12,6,9,9,24,6,9,36,
18,12,24,16,9,24,32,8,24,10,16,24,32,18,2,18,6,4,1,2,6,4,9,9,16,24,48,6,8,24,
12,6,6,9,8,4,6,2,1,6,2,4,8,1,6,6,1,1],[1,9,36,27,12,27,8,32,3,27,81,162,18,18,
36,81,54,162,54,108,54,27,36,18,108,36,96,48,16,144,48,72,48,162,27,81,324,54,
9,54,18,18,162,27,54,216,81,54,54,27,108,27,27,54,162,54,54,54,9,54,27,3,54,
54,54,18,72,54,12,54,54,54,54,54,16,48,144,48,2,16,16,32,24,144,48,72,144,36,
162,27,54,54,54,27,54,54,27,27,9,27,54,54,54,54,27,27,9,18,54,27,3,54,81,162,
54,18,54,54,54,54,54,54,18,81,9,9,54,54,27,54,27,48,16,48,72,16,18,48,48,12,
36,48,36,12,72,12,27,27,27,18,27,54,27,54,27,9,27,3,18,9,27,27,27,3,27,54,9,
27,54,18,48,16,8,48,4,36,12,24,36,8,36,36,2,16,36,18,1,9,9,9,9,27,27,24,16,3,
12,9,12,6,12,3,1,18,3,8,1,9,2,9,2,3,3,1,3,3,1,3,3,1,3,1],[1,9,27,12,36,27,8,
32,72,6,3,27,81,162,36,36,18,36,36,6,18,81,54,12,162,36,36,36,27,72,12,18,96,
48,72,24,8,48,162,27,36,81,12,324,36,36,18,36,162,27,216,81,36,36,72,36,72,36,
27,36,12,18,36,36,18,36,27,27,18,18,72,3,6,36,162,18,18,12,9,9,18,18,36,36,36,
36,36,36,72,54,12,18,36,3,16,24,24,24,24,48,12,24,12,144,24,4,48,2,4,48,16,16,
32,24,72,36,12,9,72,162,72,36,18,36,36,3,36,6,18,9,9,6,36,36,36,3,36,18,18,18,
18,6,54,18,27,9,36,36,36,36,12,36,36,36,18,18,27,3,18,18,9,81,162,9,36,9,36,
36,18,18,6,36,18,18,9,36,18,81,18,18,36,36,48,32,8,72,12,48,12,18,12,48,24,12,
48,12,12,12,4,48,6,72,24,48,24,12,2,12,12,12,6,3,12,18,18,36,3,18,3,9,27,9,27,
18,18,18,9,12,18,9,36,12,9,9,36,9,9,18,18,36,18,9,18,9,18,36,18,18,16,16,16,8,
6,4,24,4,24,1,12,24,3,6,3,6,6,8,12,6,4,12,12,2,1,12,16,12,12,36,12,12,18,6,1,
6,18,6,9,9,18,3,3,9,9,24,8,16,8,3,6,3,3,1,6,6,12,6,3,12,3,3,3,12,2,3,4,3,18,
12,12,3,4,4,4,8,1,4,3,3,3,2,3,3,2,1,3,6,1,6,2,4,3,4,1,3,1,1,1,1],[1,7,15,60,
108,9,8,32,216,30,2,9,18,36,108,72,6,216,72,72,18,18,27,24,48,18,216,108,108,
72,15,144,60,54,72,32,32,24,96,64,96,96,96,18,6,72,9,48,36,216,72,36,8,72,36,
18,36,216,216,72,72,72,144,72,72,144,144,108,144,72,144,72,72,24,54,108,72,36,
9,9,72,54,36,108,144,15,24,36,36,72,48,27,9,36,18,108,72,72,72,36,72,6,36,72,
144,18,9,16,96,48,48,96,192,96,48,48,48,24,24,96,32,2,96,24,96,8,16,24,24,72,
72,24,9,72,72,72,36,72,36,54,18,36,72,9,72,18,36,18,54,36,18,36,36,72,36,36,
36,18,36,9,18,36,36,18,12,6,36,9,36,72,36,12,36,18,6,1,36,18,144,27,72,9,9,
144,72,9,36,18,72,36,18,36,24,72,144,72,72,18,9,36,72,144,144,9,108,144,36,36,
72,144,36,36,18,16,16,16,64,16,24,24,48,24,6,24,48,48,48,48,16,8,24,48,24,8,
24,48,48,48,96,24,48,24,16,48,24,48,96,96,24,24,24,6,6,36,18,36,9,36,9,18,72,
18,18,12,9,18,36,18,18,36,36,12,36,9,9,72,1,36,72,36,9,9,18,9,18,9,9,18,72,36,
72,36,36,72,36,36,18,18,36,36,18,36,36,36,18,18,18,18,36,18,32,16,8,32,32,24,
12,8,24,2,8,48,24,24,12,24,48,6,12,48,24,24,24,24,24,12,48,2,24,6,48,48,6,24,
6,12,6,18,18,18,36,9,18,18,18,36,18,18,9,18,9,16,8,8,16,8,16,12,12,6,24,12,24,
12,6,6,12,6,6,2,6,2,12,6,6,12,24,6,24,12,4,6,12,12,9,8,16,1,8,8,16,6,6,12,12,
6,6,6,6,6,12,2,12,4,1,1,1,8,6,1,2,2,2,1],[1,7,15,36,36,9,8,32,72,18,2,9,18,36,
36,6,36,18,18,27,24,36,18,36,36,15,144,36,18,32,32,24,48,48,96,96,18,6,36,9,
36,36,36,36,8,36,36,18,36,36,36,72,36,18,36,9,9,18,9,18,18,36,9,9,18,36,72,72,
36,36,36,72,6,36,18,9,16,48,24,24,24,48,24,2,96,24,8,16,24,24,9,36,9,36,18,18,
36,9,18,6,36,36,9,36,36,18,6,1,18,18,9,9,9,36,36,9,36,18,18,18,18,9,9,36,36,
16,16,16,24,24,24,6,24,48,24,48,16,8,24,8,12,24,12,24,24,18,9,9,18,18,18,9,9,
9,1,9,18,18,18,18,18,18,16,32,8,2,6,48,6,12,6,12,24,24,2,6,6,6,18,18,9,9,9,8,
8,16,8,6,6,6,2,6,2,6,6,6,6,9,1,8,6,6,1,1,1,1,2,1],[1,7,24,15,24,36,36,9,8,32,
72,18,2,9,18,36,36,6,36,72,36,18,18,72,144,27,24,36,18,36,36,36,36,15,36,72,
24,36,18,32,32,32,96,32,24,48,96,48,96,96,18,6,36,9,36,36,6,18,36,36,36,8,36,
36,36,18,36,36,36,36,36,36,36,18,36,9,9,18,36,18,18,9,18,36,18,18,36,36,18,36,
9,36,36,18,9,18,18,36,36,36,36,18,6,36,18,36,36,18,36,36,6,36,36,36,36,36,18,
9,72,36,36,36,36,72,16,48,24,24,24,48,24,2,96,24,8,96,16,96,24,96,96,96,32,24,
9,36,18,36,9,36,18,18,18,36,18,36,36,18,36,36,18,18,18,9,36,18,6,36,18,36,18,
9,36,36,18,36,36,36,36,18,18,6,1,18,18,9,36,9,9,9,36,36,36,36,18,18,18,36,18,
36,36,18,9,36,18,9,18,36,6,36,36,36,18,36,36,18,36,18,18,18,16,32,16,16,32,24,
24,24,6,24,48,24,48,16,8,24,24,8,12,24,24,24,96,12,24,24,24,18,18,18,18,18,9,
18,9,18,6,18,9,36,36,6,36,9,9,1,18,18,18,9,36,18,18,9,9,18,9,18,18,9,18,18,16,
32,32,16,16,8,24,2,6,48,24,6,12,24,6,12,24,24,24,2,6,6,6,24,24,9,6,9,18,9,9,9,
9,18,9,18,8,8,8,16,6,6,6,6,6,2,6,2,6,6,2,6,2,24,6,9,1,8,6,6,6,6,6,6,2,6,1,1,2,
1,2,6,1,2,1,1,2,1],[1,7,15,36,36,9,8,32,72,18,2,9,18,36,36,6,72,30,54,27,24,
48,18,36,36,15,36,18,32,32,24,48,48,96,96,18,6,36,9,36,36,72,36,8,72,36,18,36,
36,36,72,36,36,18,36,36,36,9,9,36,18,9,24,36,36,36,36,9,27,54,36,36,36,36,6,
36,54,15,16,48,48,48,24,48,24,48,24,2,96,32,8,16,24,24,36,9,36,36,18,36,9,36,
24,36,18,36,12,36,36,36,9,18,6,9,36,36,12,36,6,1,18,36,9,9,27,9,36,36,36,36,
18,18,36,18,9,36,9,36,36,36,36,36,16,16,16,24,24,24,6,24,48,24,48,48,16,8,48,
24,24,8,12,24,48,12,24,24,24,6,18,36,9,18,6,9,18,9,9,9,9,36,9,9,1,9,18,18,18,
18,36,36,9,18,36,18,36,18,16,32,8,2,24,6,48,24,6,12,12,12,24,24,12,8,24,24,12,
2,8,6,6,24,6,18,18,18,9,18,18,9,9,16,8,8,8,12,6,6,6,6,6,2,6,2,6,24,6,12,12,6,
6,9,8,8,1,8,6,6,6,6,6,6,2,6,1,1,1,8,6,1,2,1],[1,7,36,15,12,72,9,8,32,2,9,18,
36,36,72,6,18,72,36,144,27,24,18,72,54,36,36,54,15,12,72,72,18,36,12,36,32,32,
16,144,48,24,96,48,192,18,6,72,9,36,18,9,18,18,18,72,8,36,18,18,18,72,18,72,
18,36,18,36,9,9,18,18,36,18,36,36,36,18,36,18,18,18,54,36,18,36,18,9,36,54,18,
36,36,27,3,36,18,18,18,72,36,72,18,18,18,18,6,36,36,36,18,72,36,18,18,18,18,
36,18,16,48,48,48,16,96,48,24,2,8,96,96,16,96,96,24,48,16,24,48,18,18,18,18,
18,18,9,9,18,27,18,18,18,18,9,18,36,18,9,27,9,9,18,36,18,18,6,36,36,18,18,9,
36,36,9,36,36,18,36,6,18,1,36,36,9,18,36,18,36,36,18,18,18,18,18,18,36,18,18,
18,9,18,18,18,18,3,3,18,18,18,18,36,18,36,18,36,18,18,18,36,9,18,36,18,18,18,
18,9,18,18,16,16,32,48,24,6,48,96,48,16,8,36,8,24,36,12,48,48,12,24,24,48,18,
9,9,18,9,36,18,18,9,18,18,18,9,9,9,9,18,18,18,18,3,1,18,9,9,18,18,18,18,9,9,
18,18,18,18,9,9,9,18,18,16,32,16,16,8,16,16,48,12,24,2,12,12,12,12,12,24,12,2,
24,24,6,6,12,24,24,9,9,3,3,9,9,9,9,9,9,9,18,9,9,16,8,16,3,12,9,12,12,12,2,2,
12,6,6,3,1,9,1,8,3,6,6,3,6,6,6,1,1,6,2,1,1,3,3,3,1,1,1,2,1,1,1],[1,9,27,12,36,
27,4,16,128,72,6,3,27,81,162,36,36,18,36,36,6,18,81,54,12,162,36,36,36,27,72,
12,18,48,24,36,48,48,16,162,27,36,81,12,324,36,36,18,36,162,27,216,81,36,36,
72,36,72,36,27,36,12,18,36,36,18,36,27,27,18,18,72,3,6,36,162,18,18,12,9,9,18,
18,36,36,36,36,36,36,72,54,12,18,36,3,64,24,48,24,96,48,288,72,24,1,48,48,8,
288,8,16,12,36,36,12,9,72,162,72,36,18,36,36,3,36,6,18,9,9,6,36,36,36,3,36,18,
18,18,18,6,54,18,27,9,36,36,36,36,12,36,36,36,18,18,27,3,18,18,9,81,162,9,36,
9,36,36,18,18,6,36,18,18,9,36,18,81,18,18,36,36,64,36,48,9,24,48,8,24,6,12,12,
24,36,48,24,4,12,12,16,6,3,12,18,18,36,3,18,3,9,27,9,27,18,18,18,9,12,18,9,36,
12,9,9,36,9,9,18,18,36,18,9,18,9,18,36,18,18,16,48,32,24,72,24,2,24,72,24,6,
12,24,6,6,4,12,12,12,1,8,12,18,12,12,9,1,6,18,6,9,9,18,3,3,9,9,16,32,16,3,6,3,
3,3,1,4,6,12,8,12,9,12,12,3,12,4,8,3,3,3,3,1,2,1,6,6,4,8,4,3,1,1,1],[1,6,24,9,
12,72,8,32,36,2,72,6,72,36,54,18,18,6,36,54,36,36,36,36,9,36,72,6,18,24,96,32,
72,8,48,96,54,72,6,36,6,18,36,6,18,36,36,18,36,36,36,36,36,36,36,18,12,18,18,
18,9,36,36,18,9,36,9,36,36,36,36,18,18,18,72,72,18,16,48,24,48,24,24,24,24,2,
24,8,16,96,24,18,18,6,9,18,9,18,18,18,18,18,9,18,9,9,18,18,6,18,1,18,18,36,36,
36,18,36,18,36,36,36,36,36,36,18,18,9,16,32,32,8,24,48,24,6,24,18,24,24,24,2,
24,24,24,12,18,9,6,9,6,9,9,18,18,9,18,18,18,18,9,9,18,18,18,16,16,8,16,6,2,6,
6,12,12,6,6,24,2,24,6,9,9,9,9,9,9,9,8,16,8,8,6,6,6,6,6,6,6,6,2,2,9,8,1,6,6,2,
1,2,1,1,1,1],[1,9,36,27,12,27,48,64,3,27,81,162,18,18,36,81,54,162,54,108,54,
27,36,18,108,36,144,192,16,48,162,27,81,324,54,9,54,18,18,162,27,54,216,81,54,
54,27,108,27,27,54,162,54,54,54,9,54,27,3,54,54,54,18,72,54,12,54,54,54,54,54,
64,48,48,144,144,24,48,36,48,36,162,27,54,54,54,27,54,54,27,27,9,27,54,54,54,
54,27,27,9,18,54,27,3,54,81,162,54,18,54,54,54,54,54,54,18,81,9,9,54,54,27,54,
27,64,108,16,72,48,144,36,48,12,27,27,27,18,27,54,27,54,27,9,27,3,18,9,27,27,
27,3,27,54,9,27,54,18,48,36,36,36,36,36,12,3,24,1,9,9,9,9,27,27,16,12,9,36,12,
3,1,12,3,12,3,1,3,3,4,3,1,1,1],[1,7,15,12,108,9,8,32,72,6,2,9,18,36,36,72,6,
108,6,54,27,24,12,18,108,36,72,15,144,12,54,32,32,24,120,8,48,192,18,6,90,9,6,
36,36,72,8,36,36,18,72,72,36,72,18,108,36,36,36,90,18,12,18,36,72,36,72,9,9,
18,36,72,3,6,72,54,36,6,27,27,36,18,36,72,18,18,36,108,6,36,18,36,3,16,24,72,
72,24,48,60,24,96,60,24,24,4,2,4,48,8,16,24,24,18,12,18,36,36,18,18,18,36,18,
18,18,3,18,18,18,18,6,18,36,54,18,36,36,18,18,18,54,9,18,6,6,18,18,36,18,54,
12,18,9,6,1,45,45,9,9,9,36,18,18,18,9,9,3,36,18,18,54,9,18,18,36,36,54,36,36,
54,108,36,16,32,32,8,24,24,6,48,96,48,12,48,16,8,12,12,8,30,24,24,24,24,24,12,
2,24,24,36,36,48,12,6,3,18,36,9,3,9,18,36,18,9,9,9,9,6,18,9,18,6,1,18,36,9,9,
18,27,9,9,27,18,18,27,9,9,9,9,18,18,18,18,18,9,9,16,16,16,8,48,12,18,4,12,2,
12,1,15,6,15,6,6,12,6,4,24,12,2,12,1,12,12,24,6,12,6,24,18,12,9,3,9,9,9,9,3,9,
9,18,9,9,9,9,16,16,8,8,8,6,6,3,6,6,3,6,12,12,2,2,6,12,9,3,9,6,2,12,3,12,12,6,
9,4,4,4,1,8,4,6,3,6,3,3,3,3,3,1,6,3,1,3,2,4,2,1,4,3,3,1,1,1,1],[1,7,48,15,36,
36,9,8,32,72,18,2,9,18,36,36,72,6,144,36,18,18,27,24,36,18,36,36,72,72,72,15,
24,72,36,18,32,32,192,64,24,48,48,96,96,18,6,36,9,36,36,36,12,36,18,36,36,36,
8,36,36,18,36,36,18,36,36,18,36,9,9,72,18,36,36,18,36,9,18,18,36,36,36,9,72,9,
36,18,36,72,18,36,36,36,36,36,36,18,18,18,72,36,36,6,36,72,36,18,9,36,72,36,
18,16,48,24,32,24,24,48,24,2,96,24,8,96,16,96,24,192,24,96,18,9,36,36,18,18,9,
36,36,18,18,36,18,36,36,36,18,36,36,9,18,36,18,6,36,9,18,36,36,72,18,36,6,1,
18,18,9,9,9,36,9,36,36,18,36,18,18,18,18,9,72,18,18,36,36,9,36,36,18,36,6,18,
36,18,18,36,36,36,18,36,36,36,16,16,16,64,24,24,24,6,24,48,24,48,16,8,48,24,8,
12,48,24,96,12,24,24,18,18,36,9,36,9,18,18,12,18,18,9,18,9,9,1,18,36,18,9,18,
36,9,18,18,18,9,9,18,18,9,36,18,16,16,32,8,32,16,2,6,48,24,6,12,6,24,12,24,24,
2,6,24,6,6,24,48,9,6,9,18,9,18,9,9,18,9,9,8,8,8,16,24,12,6,6,6,2,6,2,6,6,4,6,
6,9,1,8,6,6,12,6,6,6,2,1,1,1,4,6,1,2,1,2,1,1],[1,6,24,9,12,72,8,32,36,2,6,72,
36,54,18,18,6,36,54,36,36,36,36,9,72,36,72,6,18,24,96,32,72,8,48,96,54,6,36,6,
36,6,18,72,36,36,18,36,36,36,36,18,36,36,36,18,12,18,18,18,9,36,36,36,18,18,9,
36,9,36,18,36,36,18,18,72,72,16,48,24,48,24,24,24,24,2,24,8,96,16,24,18,6,9,
18,9,18,18,18,18,18,18,9,18,9,9,18,18,6,18,1,18,18,36,18,18,36,36,36,36,36,36,
36,36,36,18,18,9,16,32,32,8,24,48,24,6,24,18,24,24,24,2,24,24,24,12,18,18,18,
9,6,9,6,9,9,18,18,18,9,9,18,18,18,18,9,16,8,16,16,6,2,6,6,12,12,6,6,24,2,6,24,
9,9,9,9,9,9,9,8,16,8,8,6,6,6,6,6,6,6,6,2,2,9,8,1,6,6,2,1,2,1,1,1,1],[1,9,12,
27,4,27,4,16,128,3,27,81,162,18,6,36,81,54,162,18,36,18,27,12,6,36,12,48,128,
24,48,16,36,16,162,27,81,324,18,3,18,6,18,162,27,18,216,81,18,18,27,36,27,27,
18,162,18,18,18,3,18,9,1,18,18,18,6,24,54,4,18,18,18,18,18,64,24,96,24,288,72,
24,1,8,288,8,16,12,48,36,48,36,162,9,18,18,18,9,18,18,9,9,3,9,18,18,54,18,27,
9,3,6,18,27,3,18,81,162,18,6,18,18,18,18,18,18,18,81,3,3,18,18,9,18,9,64,4,4,
36,12,9,24,16,24,6,24,12,32,96,24,4,36,32,9,9,9,6,27,18,27,18,9,3,9,1,6,9,9,9,
9,1,9,18,3,9,18,6,16,48,32,72,2,72,12,6,12,12,24,4,6,12,12,1,8,6,18,9,1,3,3,3,
3,9,9,16,16,1,6,1,4,3,3,4,3,6,24,6,8,8,9,1,12,4,8,3,1,3,2,3,1,3,4,4,2,1,1,1,
1],[1,9,27,36,108,27,8,32,216,18,3,27,81,162,108,108,18,108,36,18,54,81,54,36,
162,108,108,108,27,216,36,54,96,48,72,144,48,288,96,162,27,108,81,36,324,108,
108,18,108,162,27,216,81,108,108,216,108,216,108,27,108,36,54,108,108,54,108,
27,27,54,54,216,9,18,108,162,54,54,36,27,27,54,54,108,108,108,108,108,108,216,
54,36,54,108,9,16,144,144,144,72,288,72,144,144,24,48,2,288,24,16,16,32,24,72,
36,36,27,216,162,216,108,54,108,108,9,108,18,54,27,27,18,108,108,108,9,108,54,
54,54,54,18,54,54,27,27,108,108,108,108,36,108,108,108,54,54,27,3,54,54,27,81,
162,27,108,27,108,108,54,54,18,108,54,54,27,108,18,81,54,54,108,108,48,48,16,
48,72,72,72,18,72,144,144,72,48,48,12,24,48,36,72,144,72,12,24,72,72,72,96,18,
9,36,54,54,108,9,54,9,27,27,27,27,54,54,54,27,36,54,27,108,36,27,27,108,9,27,
54,54,108,54,27,54,27,54,108,54,54,48,16,48,8,144,36,24,4,6,144,12,24,18,36,
18,8,72,36,24,72,72,72,2,6,72,16,72,36,18,36,1,18,54,18,27,27,54,9,9,27,27,24,
16,24,8,18,18,6,36,6,6,24,12,36,18,18,18,48,18,12,18,24,18,18,9,8,1,24,24,18,
18,18,2,18,18,2,6,18,6,8,1,3,3,6,6,3,3,1,1],[1,9,36,27,12,27,64,48,3,27,81,
162,18,18,36,81,54,162,54,108,54,27,36,18,108,36,16,192,144,48,162,27,81,324,
54,9,54,18,18,162,27,54,216,81,54,54,27,108,27,27,54,162,54,54,54,9,54,27,3,
54,54,54,18,72,54,12,54,54,54,54,54,64,24,48,36,48,144,48,144,48,36,162,27,54,
54,54,27,54,54,27,27,9,27,54,54,54,54,27,27,9,18,54,27,3,54,81,162,54,18,54,
54,54,54,54,54,18,81,9,9,54,54,27,54,27,64,12,12,12,36,12,16,36,48,144,72,48,
36,27,27,27,18,27,54,27,54,27,9,27,3,18,9,27,27,27,3,27,54,9,27,54,18,48,36,
36,36,3,12,12,12,12,12,12,12,24,1,9,9,9,9,27,27,16,9,3,1,36,12,12,12,3,12,3,1,
3,3,4,3,1,1,1],[1,7,15,36,36,9,8,32,72,18,2,9,18,36,36,6,36,18,18,27,24,36,18,
36,36,15,144,36,18,32,32,24,48,48,96,96,18,6,36,9,36,36,36,36,8,36,36,18,36,
36,36,72,36,18,36,9,9,18,9,18,18,36,9,9,18,36,72,72,36,36,36,72,6,36,18,9,16,
48,24,24,24,48,24,2,96,24,8,16,24,24,9,36,9,36,18,18,36,9,18,6,36,36,9,36,36,
36,18,6,1,18,18,9,9,9,36,9,36,36,18,18,18,18,9,36,9,16,16,16,24,24,24,6,24,48,
24,48,16,8,24,8,12,24,12,24,24,18,9,18,9,18,18,9,9,9,1,9,18,18,18,18,18,18,16,
32,8,2,6,48,6,12,6,12,24,24,2,6,6,6,18,18,9,9,9,8,8,8,16,6,6,6,2,6,2,6,6,6,6,
9,1,8,6,6,1,1,1,1,2,1],[1,6,24,9,48,36,8,32,36,18,2,6,72,36,18,18,18,42,72,18,
36,36,36,36,9,36,72,42,36,24,96,32,24,56,48,96,18,42,36,6,18,6,18,36,36,18,36,
72,36,36,36,36,36,18,12,18,18,18,9,36,18,36,18,9,18,18,36,36,72,72,36,36,18,
36,36,9,36,16,24,48,48,24,24,24,2,24,24,8,16,24,96,18,6,18,18,18,9,18,9,18,9,
18,18,18,9,9,18,18,18,36,6,18,1,36,9,18,18,18,36,36,36,18,18,36,36,36,36,36,
16,32,32,8,48,6,24,24,24,6,24,24,24,14,24,24,24,12,9,9,18,6,9,6,18,9,18,18,18,
18,18,18,9,18,9,9,18,16,16,8,16,6,2,6,24,12,6,12,6,2,6,6,24,9,9,9,9,9,9,9,16,
8,8,8,6,6,6,6,6,6,6,6,2,2,9,1,8,6,6,2,1,2,1,1,1,1],[1,6,9,24,48,36,8,32,36,18,
2,6,36,36,18,18,72,18,42,72,18,36,36,9,36,36,72,42,36,24,32,24,96,56,48,96,18,
42,36,72,36,6,18,36,36,36,18,36,72,36,36,36,36,36,18,12,18,18,18,9,36,36,9,18,
72,18,36,18,18,36,6,18,18,36,36,36,9,16,24,48,48,24,24,24,2,24,24,8,16,24,96,
18,6,18,18,9,18,9,18,9,18,18,18,9,9,18,18,18,18,6,18,1,36,9,18,18,18,36,36,36,
18,36,18,36,36,36,36,36,32,16,32,8,48,6,24,24,6,24,24,24,14,24,24,24,24,12,9,
9,18,9,6,18,9,6,18,18,18,18,18,18,18,18,9,9,9,16,16,8,16,6,2,6,24,24,12,6,12,
6,2,6,6,9,9,9,9,9,9,9,16,8,8,8,6,6,6,6,6,6,6,6,2,2,9,1,8,6,6,2,1,2,1,1,1,1],[
1,9,36,27,12,27,4,16,128,3,27,81,162,18,18,36,81,54,162,54,108,54,27,36,18,
108,36,48,24,16,48,48,36,162,27,81,324,54,9,54,18,18,162,27,54,216,81,54,54,
27,108,27,27,54,162,54,54,54,9,54,27,3,54,54,54,18,72,54,12,54,54,54,54,54,64,
72,96,48,72,288,72,24,1,8,288,8,16,12,48,36,36,162,27,54,54,54,27,54,54,27,27,
9,27,54,54,54,54,27,27,9,18,54,27,3,54,81,162,54,18,54,54,54,54,54,54,18,81,9,
9,54,54,27,54,27,64,12,12,36,36,16,9,72,24,6,72,24,36,36,12,27,27,27,18,27,54,
27,54,27,9,27,3,18,9,27,27,27,3,27,54,9,27,54,18,16,48,32,72,2,72,36,36,6,36,
12,36,24,4,18,1,8,18,18,9,1,9,9,9,9,27,27,48,16,18,12,3,12,9,3,6,18,3,1,9,3,
12,4,8,1,2,9,1,9,3,3,4,12,1,3,1,1],[1,9,72,27,24,12,36,27,64,72,6,3,27,81,162,
36,36,72,18,36,72,24,8,36,36,6,18,24,144,81,54,12,162,24,36,36,108,36,216,108,
27,72,72,72,36,48,216,48,72,12,18,8,64,192,192,162,27,36,81,48,12,324,108,24,
18,48,18,18,108,36,36,36,18,36,162,27,108,216,81,48,108,36,24,24,24,24,36,72,
12,36,72,24,24,12,24,18,12,24,36,24,108,24,27,216,36,12,18,36,36,18,36,27,27,
12,72,18,18,12,108,36,18,72,18,18,3,6,36,36,162,18,48,18,8,6,36,108,108,18,12,
9,108,36,6,9,36,48,48,18,18,18,36,36,108,18,24,24,24,24,36,36,36,36,54,6,36,
36,6,18,18,18,144,36,36,72,6,24,24,108,108,108,36,144,54,12,36,72,36,24,36,
108,12,8,144,24,18,36,48,3,108,72,36,108,108,108,36,18,48,72,32,48,192,64,32,
32,192,18,12,12,36,12,9,72,12,162,72,36,12,12,18,36,6,18,36,36,18,18,3,36,36,
36,6,18,9,6,6,9,24,36,36,12,6,54,18,24,6,108,36,108,108,54,108,36,36,108,54,
12,12,12,24,36,6,12,54,18,54,3,6,36,36,36,18,18,18,18,24,36,108,108,6,6,18,54,
108,18,36,6,27,36,18,12,12,12,12,36,9,12,54,36,36,24,36,36,18,36,36,36,12,36,
36,36,36,36,36,18,108,18,36,18,27,36,3,108,18,18,24,9,12,36,81,162,9,24,12,24,
48,36,12,12,12,36,24,36,9,12,108,6,36,36,36,12,36,36,18,36,36,36,18,36,36,24,
18,6,36,36,36,18,24,24,12,24,24,24,24,36,24,24,24,12,24,24,18,36,24,12,36,18,
9,12,36,12,36,108,108,18,18,108,36,18,36,36,108,108,24,24,108,18,81,36,18,48,
36,4,36,36,48,36,18,36,36,36,24,18,18,18,24,24,18,18,12,12,24,12,36,36,36,36,
36,18,12,18,12,36,108,24,36,24,18,36,36,36,12,36,108,36,36,36,54,36,108,18,36,
12,4,36,24,36,36,12,36,24,36,24,72,36,18,24,24,18,54,36,12,36,6,48,32,48,48,
48,48,64,32,48,96,48,32,32,32,32,36,54,18,12,12,54,12,6,3,12,36,18,12,18,18,
12,18,54,36,12,36,36,3,18,18,6,36,36,3,36,18,9,36,12,27,18,18,108,12,9,27,36,
36,36,18,108,12,36,18,54,18,18,18,18,18,3,54,6,18,9,6,12,18,18,6,4,9,36,6,12,
36,18,6,36,12,3,12,36,36,36,4,36,24,6,36,4,2,12,1,6,12,36,12,12,12,12,9,9,12,
12,36,12,9,18,18,18,36,12,12,12,12,12,6,18,36,12,54,36,12,54,9,4,36,36,54,3,
36,12,12,18,12,12,12,24,6,12,12,12,36,18,12,12,12,36,18,12,18,12,36,36,36,36,
6,36,6,1,6,36,54,3,3,6,24,36,9,18,6,12,6,12,9,18,9,108,12,12,12,12,18,36,12,
12,12,12,12,12,12,18,18,6,12,54,18,18,12,12,6,12,12,18,3,18,6,9,12,6,12,6,12,
6,6,12,24,12,6,12,36,12,3,6,12,9,12,9,12,12,12,12,12,12,108,6,6,12,18,12,6,9,
9,36,12,18,18,6,12,36,12,6,3,12,12,6,6,12,6,12,18,18,6,48,4,48,48,48,48,48,48,
32,32,32,4,4,18,9,6,12,6,12,1,6,6,6,18,12,1,12,12,6,6,36,18,18,6,6,6,6,9,6,6,
6,12,6,3,12,6,6,18,6,6,6,6,6,6,6,6,6,18,18,3,9,9,9,6,6,6,18,18,18,6,6,3,6,3,
12,3,3,18,6,6,6,6,18,12,18,12,3,6,9,6,3,3,6,12,18,3,6,6,18,12,6,12,6,6,6,3,3,
6,12,6,6,12,18,9,54,2,3,3,9,12,9,12,6,6,12,12,6,18,12,6,9,36,12,9,9,3,9,3,6,9,
6,9,12,6,1,54,12,18,6,6,12,12,12,6,3,18,6,6,18,18,6,12,12,8,4,4,4,4,4,4,48,4,
4,4,4,4,4,4,4,4,3,3,3,6,3,6,3,6,6,3,9,18,3,3,3,6,3,9,3,6,3,9,18,3,6,6,3,6,3,3,
9,6,3,6,6,3,3,3,3,3,3,6,3,3,3,3,1,6,6,6,6,3,3,6,6,3,6,4,4,8,4,4,12,4,4,4,12,4,
4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,1,4,3,1,1,1,1],[1,9,24,27,8,
28,84,27,4,168,14,3,27,81,162,84,84,24,18,12,24,72,24,84,36,14,42,8,48,81,54,
28,162,72,84,84,36,84,72,36,27,24,24,168,12,48,72,48,24,28,42,24,24,32,36,48,
16,16,162,27,84,81,48,28,324,36,72,6,48,6,6,36,84,12,84,18,84,162,27,36,216,
81,48,36,84,72,72,72,72,84,168,4,84,168,72,72,36,72,6,36,72,84,24,36,24,27,72,
84,28,42,84,84,42,84,27,27,36,24,42,42,36,36,12,6,168,6,6,7,14,12,84,162,42,
48,42,24,2,12,36,36,6,28,21,36,12,2,21,12,48,48,42,6,42,84,84,36,6,24,24,24,
24,12,84,12,84,18,2,84,84,2,6,6,6,48,12,12,168,2,24,24,36,36,36,12,48,54,28,
12,24,12,8,12,36,4,24,48,72,42,84,48,7,36,24,12,36,36,36,12,6,48,24,16,8,48,
48,16,32,48,16,24,32,8,48,48,24,72,48,8,24,1,8,16,8,36,32,6,36,36,36,28,21,
168,36,162,168,12,36,36,6,84,18,42,84,84,6,6,7,84,12,12,14,42,21,18,2,21,24,
12,12,36,14,18,6,24,18,36,84,36,36,18,36,84,12,36,18,36,36,36,8,84,18,36,18,6,
18,7,18,12,12,84,42,42,42,42,24,12,36,36,18,14,6,54,36,42,12,2,27,12,6,12,12,
12,12,12,21,12,18,84,84,24,84,84,6,12,12,12,28,12,12,84,84,84,12,42,36,42,12,
6,27,12,3,36,42,42,72,21,36,12,81,162,21,72,36,24,48,12,12,12,12,12,24,84,21,
36,36,18,12,84,84,12,12,12,42,12,12,12,42,12,12,24,6,14,84,12,12,42,24,72,36,
24,24,24,24,12,24,24,24,36,24,24,6,12,24,4,12,42,21,12,84,36,12,36,36,6,6,36,
12,6,12,12,36,36,72,72,36,18,81,12,6,48,12,12,12,12,48,12,6,12,12,12,24,6,6,6,
24,24,42,42,36,4,72,36,12,12,12,12,84,6,36,6,36,12,36,72,12,24,6,12,12,12,36,
84,36,12,12,12,18,12,36,6,12,12,12,12,24,12,12,12,12,24,12,72,24,12,6,24,24,6,
18,12,36,12,18,8,16,8,24,16,24,24,8,9,24,8,48,8,16,48,16,24,16,16,16,6,48,8,4,
16,4,8,24,12,16,36,48,16,32,16,8,16,24,4,16,16,24,16,32,16,16,24,16,4,12,18,6,
12,12,18,4,14,7,28,12,6,36,42,6,12,42,18,12,36,84,12,7,6,42,6,12,12,7,12,6,21,
12,36,27,6,6,36,36,21,27,12,12,12,42,36,36,12,42,18,6,42,6,6,6,9,18,6,6,21,6,
28,6,42,6,12,21,12,18,36,12,6,18,12,12,9,12,12,12,84,12,12,24,2,12,12,6,12,3,
2,36,12,28,12,12,36,21,21,12,12,84,36,9,6,6,6,12,36,36,36,12,12,2,6,12,12,18,
12,36,18,21,12,12,12,18,9,12,12,12,42,4,12,12,24,2,12,12,12,12,42,12,12,12,84,
6,12,42,12,12,12,12,12,2,12,18,3,18,12,18,9,9,18,24,12,3,6,18,12,6,12,21,42,
21,36,12,36,36,36,6,12,36,12,36,36,36,12,36,42,6,18,12,18,6,6,12,12,18,12,36,
6,9,6,18,3,12,18,12,18,12,6,2,12,24,12,2,12,84,12,1,6,12,3,12,3,12,36,12,12,
12,36,36,18,6,12,42,12,18,3,3,12,12,6,6,6,12,12,12,6,1,12,12,6,6,12,18,12,42,
6,18,8,12,8,16,8,2,8,2,24,8,4,6,24,6,12,16,8,6,2,2,16,4,8,12,4,4,8,24,12,16,8,
4,24,4,16,8,2,4,24,8,16,12,8,4,4,8,16,24,18,4,4,9,16,16,8,16,12,8,8,8,6,3,18,
12,6,12,3,6,6,2,6,12,1,12,12,14,18,12,42,6,6,18,18,6,3,18,6,18,12,6,9,12,14,6,
6,6,18,18,18,6,6,6,6,6,6,6,9,21,3,21,6,18,6,6,42,6,6,6,9,18,9,36,9,9,6,18,6,6,
6,6,12,6,12,9,18,3,6,3,7,6,12,6,9,6,18,6,12,6,36,6,18,18,9,3,6,12,2,6,12,6,3,
18,6,9,7,3,4,3,12,6,18,12,12,6,6,12,6,21,12,12,21,3,3,3,3,6,3,6,3,12,6,3,18,
12,6,6,6,12,4,12,6,1,6,6,6,6,6,6,4,8,12,4,4,1,8,2,4,4,4,8,6,2,2,4,6,1,4,8,2,2,
12,6,12,6,8,4,4,8,2,6,6,4,4,8,4,4,4,8,6,12,4,4,4,4,6,2,4,8,8,6,8,4,8,8,9,4,4,
4,8,4,9,9,9,18,3,18,3,6,6,9,3,6,3,3,3,6,3,3,3,6,3,3,6,7,6,6,3,6,3,3,3,6,3,6,6,
3,9,3,3,3,3,6,3,3,3,1,3,6,2,6,2,3,1,6,6,3,6,2,2,1,4,1,6,4,4,4,1,2,4,6,1,6,2,4,
1,2,2,2,1,4,6,4,1,4,2,4,2,6,2,6,2,4,4,2,4,4,4,4,4,2,2,3,3,3,3,3,3,3,3,1,3,3,3,
3,3,3,2,2,2,2,2,1,2,2,1,2,2,2,1,1,4,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,6,9,36,9,
48,64,18,2,6,18,18,36,9,216,36,48,30,9,48,36,96,36,6,108,9,9,18,36,108,36,9,
24,64,96,18,36,72,18,32,18,24,6,2,24,36,10,48,20,16,24,9,9,18,9,1,54,18,54,24,
96,16,48,36,36,48,12,6,9,9,24,6,9,36,18,12,24,36,36,16,9,27,27,24,48,32,8,24,
10,16,24,32,18,2,18,6,4,1,2,6,4,9,18,9,18,16,27,24,48,6,8,24,12,6,6,9,9,9,16,
8,4,6,2,1,6,2,4,9,8,1,6,6,1,3,1,1],[1,6,9,72,108,9,48,64,108,18,2,6,108,54,18,
18,54,216,54,108,108,9,108,54,108,48,30,9,108,84,180,144,144,54,54,108,6,54,
108,108,54,108,216,108,108,108,108,54,36,54,54,54,9,108,108,9,18,36,36,9,24,
64,96,36,18,36,108,180,216,108,108,18,18,32,144,18,18,36,30,6,2,144,30,108,10,
48,20,16,24,9,54,18,54,54,9,18,27,27,54,54,9,27,54,54,18,54,1,108,27,54,18,
108,54,108,108,24,288,24,24,192,36,18,36,18,18,36,36,36,18,60,36,36,12,6,9,
108,9,30,6,18,36,9,36,108,36,18,108,18,18,108,24,36,18,36,108,18,36,48,16,9,
54,18,54,27,54,54,54,27,48,24,32,8,48,24,10,16,24,32,48,96,36,18,18,6,18,2,18,
6,36,18,9,108,4,1,36,9,18,18,18,6,36,18,18,36,2,18,6,9,18,4,36,9,9,36,18,18,9,
18,18,48,27,48,24,24,24,6,96,8,6,48,36,10,48,36,18,18,18,18,6,6,9,9,18,12,18,
18,6,18,6,18,18,9,16,8,6,6,12,24,4,6,2,1,6,6,2,4,6,36,9,18,8,16,2,6,1,6,6,6,6,
12,6,6,6,8,1,6,3,2,1,1],[1,9,27,27,12,96,256,3,27,81,162,18,36,81,54,162,27,
288,72,108,162,27,81,324,18,162,27,216,81,27,27,27,162,54,48,256,384,192,576,
216,72,3,24,576,48,96,72,108,36,162,54,27,27,3,81,162,18,81,144,216,27,144,18,
72,108,64,27,27,9,192,48,24,96,288,192,144,6,144,18,72,48,12,6,48,54,27,1,72,
18,18,27,48,48,24,3,72,24,48,6,4,3,9,12,4,3,6,1],[1,9,27,27,48,64,3,27,81,162,
18,36,81,54,162,27,144,162,27,81,324,18,162,27,216,81,27,27,27,162,54,64,192,
48,144,144,24,48,36,36,162,54,27,27,3,81,162,18,81,108,72,64,27,27,9,48,36,36,
36,12,3,24,1,9,12,3,1,3,1,1],[1,9,27,27,48,64,144,3,27,81,162,18,36,81,54,162,
27,144,432,162,27,81,324,18,162,27,216,81,27,27,27,162,54,192,64,72,48,108,
144,144,144,24,48,36,36,162,54,27,27,3,81,162,18,81,108,108,72,108,216,108,64,
27,27,9,48,144,36,108,36,9,36,12,3,24,72,1,27,9,12,36,3,1,9,3,1,1],[1,6,9,24,
36,9,48,64,18,2,6,36,18,72,18,36,9,36,36,48,192,30,32,24,9,96,48,36,96,36,36,
6,36,9,9,18,18,36,18,18,6,18,18,36,36,36,9,24,64,96,18,36,18,36,32,36,18,24,6,
2,24,36,10,48,20,16,24,96,9,72,9,18,18,18,9,18,18,1,18,36,36,24,32,64,96,32,
16,96,48,6,36,18,18,18,36,18,36,36,48,36,12,6,36,18,48,9,9,24,6,24,9,36,18,12,
24,24,16,9,6,18,9,9,24,32,8,24,16,10,96,16,24,32,18,2,18,6,18,18,24,4,1,2,6,
18,4,18,9,9,36,36,16,32,9,24,24,48,6,24,8,24,12,9,6,18,6,9,6,6,9,12,2,8,16,4,
6,2,1,6,2,4,24,9,6,8,1,6,2,2,6,6,4,1,1,6,2,1,1],[1,7,48,15,36,36,9,8,32,72,18,
2,9,18,36,36,72,6,144,72,30,54,27,24,48,18,36,36,72,72,72,15,24,72,144,36,18,
32,32,192,64,24,48,48,96,96,18,6,36,9,36,36,36,12,36,18,36,72,36,8,72,36,18,
36,36,18,36,72,36,72,36,18,36,36,36,9,9,36,72,18,36,36,18,36,9,24,36,36,36,36,
36,36,9,72,27,36,54,36,72,18,72,72,36,36,36,36,36,36,18,18,18,72,72,36,36,6,
36,72,36,54,15,36,72,36,18,16,48,48,48,24,32,48,24,48,24,2,96,32,8,96,16,96,
24,192,24,96,18,36,9,36,36,36,18,36,18,18,9,36,36,24,36,18,36,12,36,18,72,36,
36,36,36,18,36,36,36,9,18,36,18,6,36,36,36,9,36,18,36,36,72,12,36,36,6,1,18,
36,9,9,27,36,36,9,36,36,36,36,36,36,36,18,18,18,36,18,9,36,36,72,18,18,36,36,
9,36,36,36,18,36,6,18,36,36,18,18,36,72,36,36,36,18,36,36,36,36,36,16,16,16,
64,24,24,24,6,24,48,24,48,48,16,8,48,48,24,24,8,12,48,24,48,96,12,24,24,24,6,
18,18,36,36,9,18,18,36,6,9,18,18,12,9,18,18,18,9,18,9,9,36,9,9,1,18,36,36,18,
9,18,18,18,18,18,36,9,36,18,36,36,36,36,18,9,18,18,18,36,36,18,9,9,36,18,36,
36,18,9,36,36,18,18,18,16,32,16,32,32,8,32,16,2,24,6,48,24,24,6,12,12,12,24,
24,24,12,8,24,24,12,2,8,24,6,6,24,48,24,9,18,6,18,18,18,6,18,18,9,18,9,18,18,
9,18,9,18,18,9,9,9,18,9,9,9,18,16,8,8,8,16,16,24,12,12,6,6,6,6,6,2,6,2,6,24,6,
12,12,4,6,6,9,9,9,9,9,9,9,16,8,8,1,8,6,6,6,12,6,6,6,6,2,6,6,2,6,9,1,1,1,4,8,6,
6,1,2,2,1,2,2,1,1,1,1,1],[1,9,27,36,108,27,8,32,216,18,3,27,81,162,108,108,18,
108,36,18,54,81,54,36,162,108,108,108,27,216,144,144,36,54,96,48,72,144,48,
288,96,162,27,108,81,36,324,108,108,18,108,162,27,216,81,108,108,216,108,216,
108,72,72,27,108,36,54,108,108,54,108,27,27,54,54,216,9,18,108,162,54,54,36,
27,27,54,54,108,108,72,72,72,72,108,108,108,108,216,72,72,54,36,54,108,9,16,
144,144,144,72,288,72,144,144,24,48,2,288,24,16,16,32,24,72,36,36,27,216,162,
216,108,54,108,108,9,108,18,54,27,27,18,108,108,108,9,108,54,54,54,54,18,54,
54,27,36,36,36,36,27,36,108,108,72,108,108,36,108,108,108,54,54,27,3,54,54,27,
81,162,27,36,36,36,108,27,108,108,36,54,54,72,18,108,54,54,27,36,108,18,81,
144,54,54,108,108,36,36,48,48,16,48,72,72,72,18,72,144,144,72,48,48,12,24,48,
36,72,144,72,12,24,72,72,72,96,18,9,36,54,54,108,9,54,18,9,27,27,27,27,54,54,
54,18,27,18,36,54,18,27,108,36,27,27,108,9,27,54,54,108,54,18,27,54,27,36,54,
36,36,36,18,36,36,108,18,18,54,36,18,18,18,18,36,54,48,32,16,32,48,8,144,36,
24,4,6,144,12,24,18,36,18,8,72,36,24,72,72,72,2,6,72,16,72,36,18,36,18,1,18,
54,18,18,18,27,27,54,18,18,9,9,18,36,18,18,9,9,27,36,27,9,9,24,16,24,16,8,16,
18,18,6,36,6,6,24,12,36,18,18,18,48,18,12,18,24,18,18,9,9,9,9,9,9,9,8,1,24,24,
16,18,18,18,2,18,18,2,6,18,6,9,8,1,3,3,6,6,3,3,1,2,2,1,1,1,1],[1,7,24,15,24,
36,36,9,8,32,72,18,2,9,18,36,36,6,36,72,72,30,54,72,144,27,24,48,18,36,36,36,
36,15,36,144,72,24,36,18,32,32,32,96,32,24,48,96,48,96,96,18,6,36,9,36,36,6,
18,72,36,36,8,72,36,36,18,36,36,36,36,36,72,36,36,72,36,18,36,36,36,9,9,36,18,
36,18,18,9,24,36,36,36,36,18,36,36,18,36,9,36,36,18,27,18,54,36,36,72,72,36,
36,18,6,36,18,36,36,18,72,36,36,6,36,36,36,36,36,54,15,72,36,36,36,36,72,16,
48,48,48,24,48,24,48,24,2,96,32,8,96,16,96,24,96,96,96,32,24,36,9,36,36,36,18,
18,36,9,36,24,36,18,18,72,36,36,12,18,36,36,36,18,36,36,36,18,18,18,9,36,18,6,
36,18,36,18,36,36,9,36,36,18,36,36,36,12,36,36,18,6,1,18,36,9,36,9,27,36,36,9,
36,36,36,36,36,36,36,18,18,36,36,18,36,36,18,9,36,36,18,9,18,36,36,6,36,36,36,
36,18,36,36,36,18,36,36,36,72,18,18,18,36,36,16,32,16,16,32,24,24,24,6,24,48,
24,48,48,16,8,24,48,24,24,8,12,24,24,24,48,96,12,24,24,24,24,18,18,6,18,18,18,
36,9,18,18,6,9,18,6,18,9,18,18,9,36,9,36,36,6,36,9,36,9,9,1,36,18,18,18,9,36,
18,18,18,36,18,36,36,36,18,18,9,18,9,36,18,18,36,9,18,36,36,9,18,18,18,36,18,
9,36,18,18,16,32,32,32,16,16,32,8,24,2,24,6,48,24,24,6,12,24,12,12,24,24,12,8,
24,24,12,24,2,8,6,6,24,24,24,9,18,18,6,18,18,6,9,18,18,9,18,9,18,18,9,9,18,9,
9,9,9,18,18,18,9,18,16,8,8,16,8,16,6,12,6,6,6,6,6,6,2,6,2,6,24,6,12,12,2,6,2,
24,6,9,9,9,9,9,9,9,8,16,8,1,8,6,6,6,6,6,6,6,6,6,6,2,2,6,6,9,1,1,2,1,2,8,6,6,1,
2,2,1,2,1,2,1,1,1,1],[1,9,72,27,24,36,108,27,8,32,216,18,3,27,81,162,108,108,
216,18,36,216,108,36,18,54,72,432,81,54,36,162,108,108,108,108,216,108,27,72,
216,216,36,216,72,36,54,96,48,32,288,96,72,144,96,48,288,96,162,27,108,81,36,
324,108,18,54,54,108,108,36,108,18,108,162,27,108,216,81,108,108,108,216,36,
108,216,54,108,108,27,216,108,36,54,108,108,54,108,27,27,216,54,54,108,108,54,
216,54,54,9,18,108,108,162,54,54,18,108,108,108,54,36,27,108,108,18,27,108,54,
18,54,108,108,108,54,108,108,108,108,54,6,108,108,18,54,54,54,432,108,108,216,
18,108,108,108,36,144,54,36,108,216,108,24,108,108,36,432,54,108,9,108,216,
108,108,108,108,108,54,216,16,144,144,144,72,96,288,72,144,144,24,48,2,288,24,
16,288,288,16,288,288,32,24,288,288,96,96,72,288,54,36,36,27,216,162,216,108,
54,108,54,108,108,54,54,9,108,108,108,18,54,27,18,27,108,108,18,54,54,108,108,
108,108,54,108,108,108,108,54,72,108,54,18,54,9,108,108,108,54,54,54,54,108,
108,108,18,54,54,108,54,108,18,27,108,54,108,27,54,108,108,108,108,18,108,108,
108,36,108,108,108,108,108,36,54,108,54,108,54,27,108,3,108,54,54,27,108,81,
162,27,108,108,108,27,108,108,108,108,108,108,54,36,108,108,54,108,108,54,18,
108,108,108,54,108,54,108,36,108,54,27,108,108,108,108,54,54,108,108,54,108,
108,108,108,108,18,81,108,54,108,108,108,108,54,108,108,108,18,18,54,54,54,36,
108,108,108,108,108,54,54,108,108,108,54,108,108,108,108,108,108,108,108,54,
108,108,54,108,108,108,108,108,108,216,108,54,54,54,108,108,48,32,48,16,96,48,
72,72,32,72,18,72,144,144,72,48,96,48,12,72,24,48,36,72,24,72,288,144,72,288,
288,12,288,24,24,72,72,72,96,108,54,54,54,36,18,9,36,108,54,54,54,54,54,108,
108,108,9,54,54,108,108,9,108,54,27,36,27,54,54,108,27,27,108,108,108,54,108,
108,54,54,54,54,18,54,54,54,54,27,36,54,54,27,108,108,54,108,108,108,108,108,
6,108,18,36,36,27,27,108,9,54,54,54,108,18,54,108,54,108,54,27,108,108,54,108,
54,36,18,108,54,108,54,54,108,108,108,108,6,108,108,54,108,27,54,27,54,27,108,
18,108,54,54,54,54,54,54,54,27,18,18,108,9,27,27,108,54,27,27,36,54,54,108,9,
54,54,48,96,96,48,16,48,16,48,8,96,48,144,96,36,24,72,4,6,144,72,12,24,24,18,
36,72,18,8,72,72,36,24,72,72,72,72,2,6,72,16,72,72,36,18,36,72,72,72,54,27,18,
54,1,18,108,54,54,27,18,54,18,18,27,27,27,18,54,54,54,54,54,27,9,18,54,18,54,
27,54,9,27,36,27,54,27,108,27,27,27,27,27,54,54,36,9,54,54,54,24,16,24,96,32,
8,48,48,6,72,24,72,18,72,18,24,18,6,36,6,6,24,12,36,18,18,18,48,18,6,12,18,2,
72,24,18,18,27,54,27,27,54,9,27,9,18,6,9,16,8,1,24,24,18,18,24,18,18,18,2,18,
18,18,18,6,2,6,18,18,18,6,6,6,18,9,8,1,3,2,3,6,18,18,18,18,2,6,6,6,3,3,6,3,6,
1,3,3,1,6,6,2,3,6,3,1,1],[1,7,48,15,60,108,9,8,32,216,30,2,9,18,36,108,72,72,
6,144,216,72,72,18,18,27,24,48,18,216,108,108,72,72,72,72,15,24,72,144,144,60,
54,72,32,32,192,64,24,96,64,96,96,96,18,6,72,9,144,48,36,36,216,12,36,18,36,
72,36,8,72,36,18,144,36,216,216,72,72,72,144,72,72,144,144,108,144,18,72,144,
72,72,72,24,54,108,72,36,9,9,72,72,54,36,108,36,36,144,18,36,15,24,36,36,72,
36,36,48,27,72,9,36,36,18,108,72,72,18,72,72,36,72,36,72,36,36,18,18,18,72,72,
72,36,36,6,36,72,36,72,144,18,144,9,36,72,36,18,144,16,96,48,48,96,192,96,48,
48,48,32,24,24,96,32,2,96,24,96,8,96,16,96,24,192,24,96,18,72,72,24,9,72,72,
72,36,72,36,36,54,18,36,72,18,18,9,72,36,18,36,18,54,36,36,18,18,36,36,36,36,
36,18,72,36,36,36,18,36,36,9,18,36,36,36,18,12,18,6,36,36,36,36,9,18,36,72,36,
72,12,36,18,36,6,1,36,18,144,27,72,9,9,144,72,72,144,36,36,36,72,9,36,18,36,
72,36,18,36,36,18,24,72,72,144,72,72,72,72,72,72,72,72,18,9,36,72,72,18,18,36,
36,144,144,9,36,36,18,36,6,18,108,144,36,36,18,36,18,72,36,144,36,36,36,18,36,
36,36,36,36,36,72,18,16,16,16,64,64,16,24,24,48,24,6,24,48,48,48,48,16,8,48,
24,48,24,8,24,48,48,48,48,96,24,48,24,96,16,48,24,48,96,96,24,24,24,36,36,6,6,
36,18,18,36,36,36,9,36,36,9,18,72,18,18,18,12,18,18,12,18,18,9,18,36,18,18,36,
18,36,36,12,36,36,36,9,9,36,72,1,18,36,72,36,36,18,9,9,36,36,36,36,18,9,18,18,
9,9,18,36,9,72,36,72,36,36,72,36,36,36,18,18,36,36,18,18,18,18,36,18,36,18,9,
9,36,36,36,36,18,18,18,18,9,36,18,18,36,18,36,18,32,16,16,32,32,8,32,16,32,32,
24,12,8,24,2,8,48,24,24,24,12,24,48,6,12,48,24,24,24,24,24,24,12,48,2,24,6,48,
24,48,6,24,6,12,24,48,18,18,6,18,9,18,36,18,18,18,18,6,18,36,9,18,18,18,18,9,
9,18,36,18,18,9,18,36,18,9,9,18,18,18,9,9,18,9,9,18,18,18,18,16,8,32,8,16,32,
16,8,16,16,12,12,24,6,24,12,24,12,12,6,6,12,6,6,2,6,2,12,6,6,12,24,6,24,12,4,
4,6,12,12,9,9,9,18,9,18,18,9,9,18,9,16,8,16,1,8,8,16,6,6,6,12,12,12,6,6,6,6,6,
6,6,12,2,2,12,9,4,1,1,1,4,8,6,6,1,2,2,2,1,2,2,1,2,1,1,2,1,2,1],[1,7,24,15,24,
60,108,9,8,32,216,30,2,9,18,36,108,72,6,36,72,216,72,72,18,18,72,144,27,24,48,
18,216,108,108,36,72,36,15,144,36,72,144,24,60,54,72,32,32,32,96,32,24,96,96,
64,96,96,96,18,6,72,9,48,36,216,6,144,18,72,36,36,8,72,36,36,18,36,36,216,216,
72,72,72,144,36,72,72,144,144,108,144,72,144,72,72,36,72,24,54,108,72,36,9,9,
72,54,36,108,36,18,144,18,15,24,36,36,36,144,72,18,36,36,18,48,27,36,36,18,9,
144,144,36,18,18,108,72,36,72,72,72,72,18,6,36,18,36,36,72,18,72,36,36,6,36,
36,36,36,36,72,144,18,9,72,36,36,36,36,72,16,96,48,48,96,192,96,48,48,48,24,
24,96,32,2,96,24,96,8,96,16,96,24,96,96,96,32,24,72,72,24,9,72,72,72,36,36,72,
18,36,54,18,36,72,9,72,18,36,18,54,18,36,36,18,18,36,36,36,18,36,36,72,36,36,
36,18,36,18,18,18,9,18,36,36,36,72,18,12,6,36,36,18,36,18,36,36,9,36,36,72,36,
18,36,36,36,12,36,36,18,18,6,1,36,18,144,27,72,36,9,9,144,72,36,9,36,36,18,72,
36,36,36,36,18,36,24,72,36,144,72,72,72,72,72,72,18,36,36,18,9,36,36,72,36,18,
144,144,9,18,36,144,72,6,72,72,108,36,144,36,36,36,72,144,36,18,36,36,36,18,
36,72,36,18,72,18,18,18,16,32,16,16,32,64,16,24,24,48,24,6,24,48,48,48,48,16,
8,24,24,48,24,8,24,24,24,48,48,48,96,24,48,24,96,16,48,24,24,48,96,96,24,24,
24,18,18,6,6,18,36,18,18,36,9,18,18,36,9,18,72,18,18,6,18,18,12,9,18,36,18,36,
18,36,36,6,36,36,36,12,36,9,9,36,72,1,36,72,36,18,18,18,36,9,9,36,36,36,36,36,
36,36,18,9,18,36,9,9,18,18,72,36,72,36,36,72,36,36,18,18,18,18,36,36,36,18,9,
36,36,9,36,36,36,36,18,18,18,18,9,18,18,36,9,18,18,36,18,36,18,18,32,16,32,32,
32,16,16,8,32,32,24,12,8,24,24,2,8,48,24,24,24,12,24,48,24,6,12,48,24,24,24,
24,24,12,48,24,2,24,6,48,48,6,24,6,12,24,24,9,18,6,18,18,18,18,18,18,18,18,6,
9,18,18,18,36,9,18,18,18,18,18,18,36,18,18,9,9,9,18,18,9,9,9,9,36,18,36,18,9,
18,18,32,16,8,8,32,16,8,16,16,16,6,12,12,6,24,12,24,12,6,6,6,12,6,6,2,6,2,12,
6,6,12,24,6,24,12,2,4,6,2,24,12,12,9,18,18,9,9,18,9,9,9,9,18,8,16,16,1,8,8,16,
6,6,6,12,12,6,6,6,6,6,6,6,6,12,2,2,6,12,9,4,1,1,2,1,2,8,6,6,1,2,2,2,2,1,1,2,2,
1,1,1,2,2,1],[1,9,27,60,180,27,8,32,360,30,3,27,81,162,180,180,18,216,72,180,
36,30,90,81,54,60,162,216,180,180,180,27,360,60,90,72,96,48,72,192,64,96,288,
96,162,27,180,81,60,324,216,180,180,18,180,162,27,216,81,180,216,216,216,216,
180,360,180,360,216,216,108,216,108,216,180,27,180,60,90,180,180,90,180,27,27,
108,90,90,108,360,15,30,180,162,90,90,72,60,45,45,90,90,180,180,180,180,180,
180,360,54,60,72,216,90,180,15,16,96,48,192,192,96,192,192,96,96,48,288,96,
144,192,32,48,2,288,32,96,16,16,32,24,72,108,108,36,60,45,360,108,162,360,108,
108,180,54,90,180,180,15,180,30,90,45,54,45,108,30,54,180,180,108,108,108,180,
54,108,15,54,180,90,90,90,90,54,30,54,90,27,45,180,180,180,180,60,180,180,180,
90,90,27,3,90,90,216,45,108,81,162,45,216,108,180,45,108,54,180,180,90,90,30,
180,90,216,108,108,90,45,180,108,216,216,18,81,36,90,90,108,216,108,180,108,
108,216,108,180,36,216,108,54,48,48,16,64,64,72,96,96,96,18,96,144,96,192,96,
48,96,96,48,12,24,96,24,32,48,48,96,72,192,96,96,48,96,96,16,96,24,96,96,96,
96,96,72,24,96,30,15,60,108,90,90,108,180,15,90,15,45,108,27,108,45,27,90,108,
90,90,27,45,60,90,36,45,54,108,54,27,180,36,36,18,9,108,60,108,45,45,180,108,
9,108,108,108,108,45,36,27,90,90,180,90,54,9,54,27,27,54,54,45,90,45,108,108,
108,108,108,108,108,108,90,54,54,108,27,54,54,54,180,108,108,54,90,54,54,90,
54,32,48,16,32,48,8,32,32,144,48,48,32,48,4,48,8,144,48,24,12,24,24,48,96,24,
12,12,8,48,24,24,48,96,48,32,24,72,72,96,24,96,2,48,8,24,96,16,96,24,24,96,96,
36,24,24,18,48,48,48,54,9,1,30,54,90,54,54,54,54,27,30,54,54,54,27,45,45,54,
90,27,54,27,108,27,27,54,27,54,15,27,54,108,54,54,27,18,27,15,54,45,45,9,32,
16,16,24,16,24,16,8,32,16,24,24,6,48,24,24,24,12,24,6,24,18,8,48,6,6,24,12,48,
24,24,24,48,24,24,24,24,48,24,24,24,16,24,48,32,24,48,48,18,24,24,24,24,27,27,
27,54,54,27,15,27,9,8,8,16,16,8,8,1,24,8,24,16,12,12,6,6,18,24,18,24,24,6,12,
2,24,6,24,24,6,12,12,6,2,12,8,24,12,24,8,24,12,9,8,4,1,8,8,3,3,8,8,8,8,12,12,
12,8,6,6,6,12,6,12,3,2,2,3,2,8,1,2,6,2,1,1,2,1,1],[1,9,48,27,16,12,36,27,4,16,
128,72,6,3,27,81,162,36,36,72,18,24,72,36,36,6,18,24,144,81,54,12,162,36,36,
72,36,144,72,27,48,72,72,24,144,48,12,18,48,128,24,16,48,48,64,36,16,48,48,16,
162,27,36,81,12,324,72,12,18,18,72,36,24,36,18,36,162,27,72,216,81,72,36,36,
72,12,36,72,18,36,72,27,144,36,12,18,36,36,18,36,27,27,72,18,18,72,36,18,72,
18,18,3,6,36,36,162,18,18,6,36,72,72,18,12,9,72,36,6,9,36,18,12,18,36,36,72,
18,36,36,36,36,36,4,36,36,6,18,18,18,144,36,36,72,6,72,72,72,24,96,54,12,36,
72,36,16,36,72,12,144,18,36,3,72,72,36,72,72,72,36,18,72,64,24,48,24,96,96,48,
96,48,288,72,24,1,48,48,8,48,288,48,8,48,48,16,12,48,48,16,48,36,48,96,18,36,
12,9,72,162,72,36,18,36,18,36,36,18,18,3,36,36,36,6,18,9,6,9,36,36,6,36,18,72,
36,72,72,36,72,36,36,72,36,24,36,36,12,36,3,36,36,36,18,18,18,18,36,72,72,6,
18,54,72,18,36,6,27,36,18,36,9,36,36,36,36,36,12,36,36,36,12,36,36,36,36,36,
24,18,72,18,36,18,27,36,3,72,18,18,9,36,81,162,9,36,36,36,9,72,36,36,36,36,36,
18,24,36,36,18,36,36,18,6,36,36,36,18,36,18,36,12,36,18,9,36,36,72,72,18,18,
72,36,18,36,36,72,72,72,18,81,36,18,36,36,36,36,18,36,36,36,12,12,18,18,18,12,
36,36,36,36,36,18,18,36,72,36,18,36,36,36,36,72,36,36,36,36,36,72,18,36,36,36,
36,36,36,72,36,18,18,36,36,36,64,64,64,16,16,36,48,48,16,24,9,24,24,96,24,48,
48,8,48,16,24,6,96,24,12,32,12,12,96,24,36,4,36,48,48,32,24,48,48,48,12,4,12,
12,16,36,36,18,36,12,6,3,12,36,18,18,18,18,36,36,36,36,3,18,18,36,36,3,36,18,
9,24,27,18,18,72,9,27,36,36,36,18,72,36,18,36,18,18,12,18,18,36,18,9,12,18,18,
9,36,36,18,36,36,36,36,36,4,36,6,24,12,9,9,36,9,18,18,18,36,6,18,36,36,36,36,
9,36,36,36,36,18,12,6,36,18,36,18,18,36,36,36,36,4,36,36,36,36,9,18,9,18,9,72,
12,36,18,18,36,18,18,18,18,9,6,6,36,3,9,9,72,18,9,9,24,18,18,36,3,18,18,64,16,
48,32,24,72,16,12,24,2,24,72,48,24,36,6,48,4,12,36,24,6,6,4,24,12,12,12,12,12,
1,24,8,12,24,24,12,18,12,12,9,48,48,12,12,24,12,18,9,6,18,1,6,36,18,18,9,6,18,
12,12,9,9,9,12,18,18,18,18,18,9,3,12,18,6,18,9,36,3,9,12,9,18,9,36,9,9,9,9,9,
36,18,12,3,18,18,18,16,48,32,16,16,16,16,12,1,24,12,24,12,12,3,4,16,3,12,12,6,
6,12,3,4,3,6,3,1,4,6,12,6,24,12,8,24,8,12,3,1,8,12,6,12,9,12,12,9,18,9,9,18,3,
9,3,6,4,3,12,4,8,16,16,3,3,3,4,3,3,3,12,1,3,3,6,12,1,2,12,1,12,6,12,3,3,3,3,3,
6,6,3,4,4,4,4,8,4,12,3,2,3,3,3,1,6,3,4,1,3,3,1,1,4,4,3,1,1,1,1,1],[1,9,27,36,
108,27,12,96,256,216,18,3,27,81,162,108,108,18,108,36,18,54,81,54,36,162,108,
108,108,27,216,36,54,288,72,108,144,48,144,288,96,162,27,108,81,36,324,108,
108,18,108,162,27,216,81,108,108,216,108,216,108,27,108,36,54,108,108,54,108,
27,27,54,54,216,9,18,108,162,54,54,36,27,27,54,54,108,108,108,108,108,108,216,
54,36,54,108,9,48,256,384,72,144,144,144,144,72,72,192,288,72,576,216,144,24,
72,3,288,24,144,24,576,48,96,72,108,36,36,27,216,162,216,108,54,108,108,9,108,
18,54,27,27,18,108,108,108,9,108,54,54,54,54,18,54,54,27,27,108,108,108,108,
36,108,108,108,54,54,27,3,54,54,27,81,162,27,108,27,108,108,54,54,18,108,54,
54,27,108,18,81,54,54,108,108,144,384,48,16,192,48,216,72,144,72,27,72,144,
144,144,72,48,144,18,36,36,24,72,36,108,144,144,72,72,12,24,72,72,72,36,96,64,
18,9,36,54,54,108,9,54,9,27,27,27,27,54,54,54,27,36,54,27,108,36,27,27,108,9,
27,54,54,108,54,27,54,27,54,108,54,54,96,48,192,48,96,48,24,96,288,192,144,
144,36,24,72,6,72,6,144,144,18,72,18,36,48,18,18,18,12,72,36,24,72,72,72,36,6,
6,72,48,36,72,54,36,36,27,36,64,1,18,54,18,27,27,54,9,9,27,27,96,24,192,16,72,
96,48,8,96,48,9,18,18,9,18,6,36,18,6,24,18,36,18,36,18,18,48,18,36,12,18,24,
18,27,36,36,48,9,24,24,48,24,24,3,24,72,24,24,48,24,9,18,18,18,9,6,18,18,4,3,
6,18,18,6,18,16,32,8,12,1,24,24,3,9,24,48,24,6,9,6,12,3,6,6,3,4,3,6,8,4,6,6,1,
1,1],[1,9,108,27,36,27,48,64,144,3,27,81,162,18,54,36,81,54,162,162,324,162,
27,108,54,324,108,144,144,576,48,144,432,432,162,27,81,324,162,27,162,54,18,
162,27,162,216,81,162,162,27,324,27,27,162,162,162,162,162,27,162,81,9,162,
162,162,54,216,54,36,162,162,162,162,162,192,64,72,48,144,108,432,144,144,144,
24,432,48,36,144,36,162,81,162,162,162,81,162,162,81,81,27,81,162,162,54,162,
27,81,27,54,162,27,3,162,81,162,162,54,162,162,162,162,162,162,18,81,27,27,
162,162,81,162,81,576,192,108,108,48,108,108,108,108,144,72,108,144,432,108,
216,144,108,36,64,81,81,81,54,27,162,27,162,81,27,81,9,54,9,81,81,81,9,81,162,
27,81,162,54,48,144,36,108,36,9,108,108,108,108,36,108,108,12,108,3,108,24,72,
64,1,27,27,27,27,81,81,48,144,27,36,27,9,9,108,36,9,3,36,108,9,12,36,3,27,1,
27,9,9,9,36,12,9,3,9,3,1,3,9,1,1],[1,9,36,27,12,27,12,96,256,3,27,81,162,18,
18,36,81,54,162,54,108,54,27,36,18,108,36,288,384,72,16,144,48,48,108,48,162,
27,81,324,54,9,54,18,18,162,27,54,216,81,54,54,27,108,27,27,54,162,54,54,54,9,
54,27,3,54,54,54,18,72,54,12,54,54,54,54,54,48,256,384,72,192,48,72,576,216,
72,3,24,576,48,96,72,144,48,108,144,36,162,27,54,54,54,27,54,54,27,27,9,27,54,
54,54,54,27,27,9,18,54,27,3,54,81,162,54,18,54,54,54,54,54,54,18,81,9,9,54,54,
27,54,27,144,16,128,64,48,192,12,12,216,36,16,27,72,48,144,18,72,36,96,288,72,
36,12,108,96,12,64,27,27,27,18,27,54,27,54,27,9,27,3,18,9,27,27,27,3,27,54,9,
27,54,18,48,192,48,24,96,288,48,192,144,6,144,36,36,18,36,72,36,48,12,18,36,
36,6,48,18,54,27,64,1,9,9,9,9,27,27,48,72,16,32,48,16,48,3,18,12,3,12,9,9,12,
18,18,72,18,24,3,1,24,27,48,3,48,24,3,72,24,48,9,6,9,4,9,3,9,3,3,16,12,4,1,9,
12,3,12,8,6,1,3,3,12,3,4,3,6,3,4,1,2,3,1,1,1],[1,6,9,24,72,108,9,48,64,108,18,
2,6,36,108,54,18,72,18,54,216,54,108,108,9,108,36,216,54,108,48,192,30,32,24,
9,108,96,84,180,144,144,54,54,108,216,36,6,54,108,108,36,54,108,216,108,108,
108,108,108,54,36,54,54,54,9,108,108,9,18,216,18,36,18,18,108,6,18,18,36,36,
36,9,24,64,96,36,18,36,108,180,216,108,108,18,72,18,36,32,36,144,18,18,36,30,
6,2,144,30,108,10,48,20,16,24,96,9,72,54,18,54,54,9,18,27,18,27,54,54,18,9,27,
18,54,54,18,18,54,1,108,27,54,54,18,108,108,108,54,36,54,108,108,36,108,108,
24,32,64,288,24,32,24,96,192,6,36,18,36,18,18,18,18,36,18,36,18,36,36,36,18,
60,36,36,36,12,6,36,18,48,9,108,9,30,6,18,24,36,9,36,108,72,36,18,108,18,18,
108,24,24,36,18,36,72,108,36,18,36,36,48,16,9,27,54,27,18,54,27,6,18,54,54,54,
54,54,54,54,27,9,9,48,24,48,32,8,48,16,24,10,96,16,24,32,48,96,36,18,18,6,36,
18,2,18,6,18,36,18,9,18,24,108,4,36,1,36,9,18,18,18,36,6,36,18,18,36,2,18,6,9,
18,18,4,36,18,9,9,18,36,18,18,9,36,36,18,36,18,18,48,32,27,27,27,27,27,27,9,
48,24,24,24,24,6,96,8,6,48,48,24,36,10,48,36,9,6,18,18,18,18,6,9,18,18,6,6,18,
9,9,18,18,18,12,18,12,18,9,6,2,9,18,6,18,18,9,16,16,8,16,27,6,6,12,24,4,6,2,1,
6,6,2,4,6,36,24,9,9,9,6,9,9,9,9,18,8,16,16,2,6,1,6,6,2,6,2,6,6,12,6,6,6,4,9,8,
1,6,3,1,6,3,2,2,1,3,1,1,1,1],[1,9,72,27,24,60,180,27,8,32,360,30,3,27,81,162,
180,180,216,18,36,216,216,72,180,36,30,90,72,432,81,54,60,162,216,180,180,108,
180,216,108,27,72,216,360,36,144,216,144,72,60,90,72,96,48,32,288,96,72,192,
96,64,96,288,96,162,27,180,81,144,60,324,108,216,18,144,54,54,108,180,36,180,
18,180,162,27,108,216,81,144,108,180,216,216,216,216,180,360,36,180,360,216,
216,108,216,54,108,216,180,72,108,72,27,216,180,60,90,180,180,90,180,27,27,
108,216,90,90,108,108,108,54,360,54,54,15,30,108,180,162,90,144,90,72,18,108,
108,108,54,60,45,108,108,18,45,108,144,144,90,18,90,180,180,108,54,72,72,72,
72,108,180,108,180,54,6,180,180,18,54,54,54,432,108,108,360,18,72,72,108,108,
108,36,144,54,60,108,216,108,24,108,108,36,72,432,216,90,180,144,15,108,216,
108,108,108,108,108,54,144,216,16,96,48,192,192,96,192,192,96,96,48,96,288,96,
144,192,32,48,2,288,32,96,16,288,288,16,288,288,32,24,288,288,96,96,72,288,54,
108,108,36,60,45,360,108,162,360,108,108,108,54,180,54,90,180,180,54,54,15,
180,108,108,30,90,45,54,18,45,72,108,108,108,30,54,54,72,54,108,180,108,108,
54,108,180,108,108,54,108,108,108,72,180,54,108,54,18,54,15,54,108,108,180,90,
90,90,90,72,108,108,108,54,30,54,54,108,90,108,18,27,108,54,36,36,36,36,108,
45,36,54,180,180,72,180,180,18,108,108,108,60,108,108,180,180,180,36,90,108,
90,108,54,27,108,3,108,90,90,216,45,108,108,81,162,45,216,108,72,144,108,36,
36,36,108,72,180,45,108,108,54,108,180,180,36,108,108,90,36,108,108,90,108,
108,72,54,30,180,108,108,90,72,216,108,72,72,72,72,108,72,72,72,108,72,72,54,
108,72,36,108,90,45,36,180,108,108,108,108,54,54,108,108,54,108,108,108,108,
216,216,108,18,81,108,54,144,108,36,108,108,144,108,54,108,108,108,72,18,18,
54,72,72,90,90,108,36,216,108,108,108,108,108,180,54,108,54,108,108,108,216,
108,72,54,108,108,108,108,180,108,108,108,108,54,108,108,54,108,36,36,108,72,
108,108,36,108,72,108,216,216,108,54,72,72,54,54,108,108,108,54,48,32,48,16,
96,64,64,72,96,96,32,96,18,96,144,96,192,96,48,96,96,96,48,12,72,24,96,24,32,
48,48,72,24,96,72,288,192,96,96,48,96,96,288,288,16,96,288,24,24,96,96,96,96,
96,72,24,96,108,54,54,36,36,54,36,30,15,60,108,54,108,90,54,36,90,54,108,108,
180,108,15,54,90,18,108,108,15,108,54,45,36,108,27,54,54,108,108,45,27,108,
108,108,90,108,108,108,90,54,54,90,18,54,54,27,54,18,54,45,18,60,54,90,18,36,
45,108,54,108,108,54,54,108,36,27,36,108,108,180,36,108,72,6,108,36,18,36,9,
18,108,36,60,36,36,108,45,45,36,36,180,108,9,54,54,54,108,108,108,108,36,36,
18,54,108,36,54,108,108,54,45,36,108,108,54,27,108,36,36,90,36,36,36,72,18,36,
36,36,108,90,36,36,36,180,54,36,90,36,108,108,108,108,6,108,54,9,54,108,54,27,
27,54,72,108,27,54,54,36,18,36,45,90,45,108,36,108,108,108,18,108,108,36,108,
108,108,36,108,90,54,54,36,54,54,54,36,36,54,36,108,54,27,54,54,27,36,54,36,
54,36,18,18,36,72,36,18,36,180,36,9,18,36,27,36,27,36,108,36,36,36,108,108,54,
18,36,90,36,54,27,27,36,36,54,54,18,36,108,36,18,9,36,36,18,18,36,54,36,90,54,
54,32,48,32,96,96,48,16,32,48,16,32,48,8,96,48,32,32,144,48,96,48,32,72,48,4,
48,8,144,72,48,24,12,24,24,24,48,96,72,24,12,12,8,48,72,24,24,48,96,48,32,24,
72,72,96,24,96,72,2,48,8,24,96,16,96,72,24,24,96,96,36,24,24,18,48,48,72,72,
72,48,54,27,54,36,18,36,9,18,18,18,54,36,1,36,36,30,54,108,90,54,18,54,54,18,
27,54,18,54,36,18,27,36,30,18,54,18,54,54,54,18,18,18,18,18,18,18,27,45,27,45,
18,54,18,18,90,54,18,18,27,54,27,108,27,27,54,54,18,18,18,54,36,54,36,27,54,
27,18,9,15,18,36,18,27,18,54,54,36,18,108,18,54,54,27,9,18,36,18,18,36,54,27,
54,18,27,15,27,36,27,36,18,54,36,36,18,54,36,18,45,108,36,45,27,9,27,9,18,27,
18,27,36,18,9,54,36,54,18,18,36,36,36,18,9,54,18,18,54,54,18,32,32,16,16,24,
32,16,24,32,16,96,32,32,16,8,32,16,16,48,48,6,72,24,24,24,72,6,48,24,24,24,18,
72,12,24,6,24,24,18,8,48,6,6,24,12,48,24,24,24,48,24,24,24,24,48,24,24,24,6,
16,24,2,72,48,32,24,48,48,18,24,24,24,24,27,27,27,54,9,54,9,18,18,27,27,54,9,
9,9,18,9,27,9,18,9,27,54,15,18,18,9,18,9,9,27,18,9,18,18,9,27,9,9,9,9,18,9,9,
9,9,9,18,18,18,6,9,9,18,18,9,18,16,16,8,8,16,16,16,16,16,8,8,1,24,8,24,16,16,
12,18,12,6,6,18,24,24,18,18,24,24,6,12,2,24,18,6,24,18,24,6,12,12,6,6,2,12,8,
24,12,18,18,24,6,6,8,18,24,12,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,8,4,1,8,16,8,3,2,
3,8,8,6,8,8,18,12,18,18,18,12,2,12,8,6,6,6,6,12,6,12,9,3,2,2,3,2,6,3,8,6,1,2,
3,2,3,1,2,6,6,6,2,2,1,1,3,1,6,2,2,3,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,9,27,27,12,
96,256,144,3,27,81,162,18,36,81,54,162,27,288,72,108,432,162,27,81,324,18,162,
27,216,81,27,27,27,162,54,192,48,256,384,384,72,192,108,576,216,72,144,3,24,
576,48,96,72,108,36,162,54,27,27,3,81,162,18,81,144,216,27,108,144,108,18,72,
216,108,108,64,64,128,27,27,9,192,48,144,24,96,288,192,144,6,108,144,9,18,72,
48,12,6,48,72,54,27,1,72,64,27,18,18,27,48,48,24,3,72,24,48,36,6,4,3,9,9,12,3,
6,4,3,6,1,2,1,1],[1,9,27,36,108,27,12,96,256,216,18,3,27,81,162,108,108,18,
108,36,18,54,81,54,36,162,108,108,108,27,216,432,432,36,54,288,72,108,144,48,
144,288,96,162,27,108,81,36,324,108,108,18,108,162,27,216,81,108,108,216,108,
216,108,216,216,27,108,36,54,108,108,54,108,27,27,54,54,216,9,18,108,162,54,
54,36,27,27,54,54,108,108,216,216,216,216,108,108,108,108,216,216,216,54,36,
54,108,9,48,256,384,72,144,144,144,144,72,288,72,192,288,72,576,216,144,24,72,
3,288,24,144,24,576,48,96,72,108,36,36,27,216,162,216,108,54,108,108,9,108,18,
54,27,27,18,108,108,108,9,108,54,54,54,54,18,54,54,27,108,108,108,108,27,108,
108,108,216,108,108,36,108,108,108,54,54,27,3,54,54,27,81,162,27,108,108,108,
108,27,108,108,108,54,54,216,18,108,54,54,27,108,108,18,81,432,54,54,108,108,
108,108,144,384,48,16,192,48,216,72,144,72,27,72,144,144,144,72,48,144,18,36,
36,24,72,36,108,144,144,72,72,12,24,72,144,72,144,72,36,96,64,18,9,36,54,54,
108,9,54,54,9,27,27,27,27,54,54,54,54,27,54,36,54,54,27,108,36,27,27,108,9,27,
54,54,108,54,54,27,54,27,108,54,108,108,108,54,108,108,108,54,54,54,108,54,54,
54,54,108,54,96,48,96,192,48,96,96,48,24,96,288,192,144,144,36,24,72,6,72,6,
144,144,18,72,18,36,72,48,18,18,18,12,72,36,24,72,72,72,36,6,6,72,48,36,72,72,
54,36,36,27,36,72,64,54,1,18,54,54,18,54,27,27,54,54,54,27,9,54,108,54,54,27,
9,27,108,27,27,27,96,24,192,16,72,48,96,48,8,96,48,48,9,18,18,9,18,6,36,18,6,
24,18,36,18,36,18,18,36,36,48,18,36,36,12,18,36,24,18,27,36,36,64,48,27,27,27,
27,27,9,27,24,24,48,24,24,3,24,72,24,24,48,24,48,9,36,18,18,18,9,6,18,18,18,4,
3,6,18,18,18,6,18,16,32,27,8,12,1,24,24,3,9,24,48,24,9,6,9,9,6,16,12,3,6,6,3,
4,3,6,6,6,9,8,4,6,3,6,1,3,4,1,3,1,1],[1,9,72,27,24,36,108,27,12,96,256,216,18,
3,27,81,162,108,108,216,18,36,216,108,36,18,54,72,432,81,54,36,162,108,108,
108,108,216,108,27,72,216,216,36,216,72,36,54,288,768,72,32,288,96,96,108,144,
96,48,144,288,96,162,27,108,81,36,324,108,18,54,54,108,108,36,108,18,108,162,
27,108,216,81,108,108,108,216,36,108,216,54,108,108,27,216,108,36,54,108,108,
54,108,27,27,216,54,54,108,108,54,216,54,54,9,18,108,108,162,54,54,18,108,108,
108,54,36,27,108,108,18,27,108,54,18,54,108,108,108,54,108,108,108,108,54,6,
108,108,18,54,54,54,432,108,108,216,18,108,108,108,36,144,54,36,108,216,108,
24,108,108,36,432,54,108,9,108,216,108,108,108,108,108,54,216,48,256,384,72,
144,144,144,144,72,72,144,192,96,144,288,72,576,216,144,24,72,3,288,24,144,24,
288,576,288,48,288,288,96,72,288,288,96,96,108,288,288,54,36,36,27,216,162,
216,108,54,108,54,108,108,54,54,9,108,108,108,18,54,27,18,27,108,108,18,54,54,
108,108,108,108,54,108,108,108,108,54,72,108,54,18,54,9,108,108,108,54,54,54,
54,108,108,108,18,54,54,108,54,108,18,27,108,54,108,27,54,108,108,108,108,18,
108,108,108,36,108,108,108,108,108,36,54,108,54,108,54,27,108,3,108,54,54,27,
108,81,162,27,108,108,108,27,108,108,108,108,108,108,54,36,108,108,54,108,108,
54,18,108,108,108,54,108,54,108,36,108,54,27,108,108,108,108,54,54,108,108,54,
108,108,108,108,108,18,81,108,54,108,108,108,108,54,108,108,108,18,18,54,54,
54,36,108,108,108,108,108,54,54,108,108,108,54,108,108,108,108,108,108,108,
108,54,108,108,54,108,108,108,108,108,108,216,108,54,54,54,108,108,144,32,256,
384,48,128,16,96,384,192,24,48,24,216,72,144,72,32,72,72,27,72,144,72,144,72,
144,144,144,72,48,144,96,144,18,144,72,72,192,36,36,576,24,72,36,72,24,108,
288,144,144,192,72,72,288,288,12,288,24,24,72,72,72,36,96,64,108,54,54,54,36,
18,9,36,108,54,54,54,54,54,108,108,108,9,54,54,108,108,9,108,54,27,36,27,54,
54,108,27,27,108,108,108,54,108,108,54,54,54,54,18,54,54,54,54,27,36,54,54,27,
108,108,54,108,108,108,108,108,6,108,18,36,36,27,27,108,9,54,54,54,108,18,54,
108,54,108,54,27,108,108,54,108,54,36,18,108,54,108,54,54,108,108,108,108,6,
108,108,54,108,27,54,27,54,27,108,18,108,54,54,54,54,54,54,54,27,18,18,108,9,
27,27,108,54,27,27,36,54,54,108,9,54,54,96,48,96,96,48,192,48,96,48,16,48,24,
384,96,288,96,192,48,144,144,96,36,24,72,72,6,72,6,144,72,144,72,18,72,24,72,
18,36,72,48,18,18,18,12,36,72,72,36,24,72,72,72,36,72,6,6,72,72,48,72,36,72,
36,72,54,36,36,27,144,144,36,72,72,72,72,64,128,54,27,18,54,1,18,108,54,54,27,
18,54,18,18,27,27,27,18,54,54,54,54,54,27,9,18,54,18,54,27,54,9,27,36,27,54,
27,108,27,27,27,27,27,54,54,36,9,54,54,54,96,96,24,192,16,72,96,96,32,64,96,
32,48,8,96,96,48,48,48,36,6,72,72,36,24,72,9,6,24,18,18,72,18,18,36,18,9,24,
18,18,6,36,18,6,24,18,36,18,36,18,18,144,18,36,48,18,36,48,36,6,12,18,2,48,72,
18,24,18,36,27,36,36,48,64,27,54,27,27,54,9,27,9,18,6,9,24,24,48,16,24,24,3,
24,72,24,24,48,24,96,96,18,9,18,24,18,18,18,9,36,6,18,18,18,18,18,36,6,4,18,3,
36,6,18,18,18,18,18,6,6,6,18,18,18,16,32,32,9,8,12,24,1,24,24,8,3,2,9,24,24,
48,24,6,24,16,18,12,18,18,18,2,18,9,6,6,6,9,9,6,16,12,3,6,6,3,6,3,6,4,3,3,6,3,
1,24,6,24,9,6,8,8,4,2,6,3,6,6,4,3,6,1,2,1,4,1,6,1,2,1],[1,9,27,108,324,27,12,
96,256,648,54,3,27,81,162,324,324,18,648,216,324,36,54,162,81,54,108,162,648,
324,324,324,27,648,108,162,216,288,72,108,432,144,432,864,288,162,27,324,81,
108,324,648,324,324,18,324,162,27,216,81,324,648,648,648,648,324,648,324,648,
648,648,324,648,324,648,324,27,324,108,162,324,324,162,324,27,27,324,162,162,
324,648,27,54,324,162,162,162,216,108,81,81,162,162,324,324,324,324,324,324,
648,54,108,216,648,162,324,27,48,256,384,432,216,432,432,432,864,432,432,216,
216,192,864,216,576,216,432,72,72,3,864,72,432,24,576,48,96,72,108,324,324,36,
108,81,648,324,162,648,324,324,324,162,162,324,324,27,324,54,162,81,162,81,
324,54,162,324,324,324,324,324,324,162,324,27,162,324,162,162,162,162,162,54,
54,162,27,81,324,324,324,324,108,324,324,324,162,162,27,3,162,162,648,81,324,
81,162,81,648,324,324,81,324,162,324,324,162,162,54,324,162,648,324,324,162,
81,324,324,648,648,18,81,108,162,162,324,648,324,324,324,324,648,324,324,108,
648,324,162,144,1152,144,48,576,144,216,216,432,216,27,216,432,432,432,216,
144,432,432,144,18,108,432,108,72,72,108,432,108,432,432,432,216,432,216,36,
432,72,432,216,432,432,216,216,108,288,64,54,27,108,324,162,162,324,324,27,
162,27,81,324,27,324,81,27,162,324,162,162,81,81,108,162,108,81,162,324,162,
81,324,108,108,54,27,324,108,324,81,81,324,324,9,324,324,324,324,81,108,81,
162,162,324,162,162,27,162,81,81,162,162,81,162,81,324,324,324,324,324,324,
324,324,162,162,162,324,81,162,162,162,324,324,324,162,162,162,162,162,162,
288,144,192,48,288,144,24,96,288,192,288,288,432,216,144,108,72,216,6,216,18,
144,432,216,108,18,72,54,108,432,48,54,54,54,12,216,108,108,216,216,108,72,
108,216,216,216,108,432,6,216,18,108,216,48,432,108,108,432,216,54,108,108,27,
216,108,216,192,162,27,1,54,162,162,162,162,162,162,81,54,162,162,162,81,81,
81,162,162,81,162,81,324,81,81,162,81,162,27,81,162,324,162,162,81,54,81,27,
162,81,81,27,288,288,144,144,72,576,48,72,288,144,24,288,144,108,108,27,216,
108,108,108,54,54,27,108,54,18,108,18,18,72,18,108,54,108,108,216,54,54,108,
108,144,54,108,108,36,54,216,72,54,216,216,27,108,108,108,108,64,48,81,81,81,
162,162,81,27,81,27,72,72,144,144,48,72,24,3,72,72,72,24,48,72,144,54,54,27,
27,54,54,54,108,108,27,54,6,54,27,54,108,27,54,54,27,4,3,54,18,54,54,108,18,
108,54,48,96,27,24,36,3,72,72,72,9,9,72,144,72,72,72,72,54,54,54,18,27,27,27,
54,18,54,48,12,9,18,18,9,18,72,4,3,6,18,27,24,12,18,9,9,18,18,3,12,1,9,3,1],[
1,9,108,27,36,27,12,96,256,144,3,27,81,162,18,54,36,81,54,162,162,324,162,27,
108,54,324,108,144,288,1152,72,48,432,144,144,108,432,144,432,162,27,81,324,
162,27,162,54,18,162,27,162,216,81,162,162,27,324,27,27,162,162,162,162,162,
27,162,81,9,162,162,162,54,216,54,36,162,162,162,162,162,192,48,256,384,384,
72,216,192,144,108,432,216,576,216,72,144,3,24,576,48,432,96,72,432,144,108,
432,36,162,81,162,162,162,81,162,162,81,81,27,81,162,162,54,162,27,81,27,54,
162,27,3,162,81,162,162,54,162,162,162,162,162,162,18,81,27,27,162,162,81,162,
81,144,48,576,384,192,144,576,36,36,216,108,108,48,108,27,108,216,108,108,144,
144,144,108,18,216,108,288,864,72,108,36,216,108,288,108,36,64,64,128,81,81,
81,54,27,162,27,162,81,27,81,9,54,9,81,81,81,9,81,162,27,81,162,54,144,192,48,
144,24,96,288,144,192,144,6,108,144,108,9,108,108,18,108,108,108,72,108,108,
48,12,54,108,108,108,6,108,48,54,72,54,27,64,192,1,27,27,27,27,81,81,144,72,
48,96,144,144,48,144,64,9,27,54,36,9,36,27,27,27,36,18,18,9,216,54,72,9,3,72,
108,27,48,9,48,24,3,72,24,48,36,64,27,6,27,27,4,27,27,3,27,9,9,9,48,36,12,3,9,
36,36,9,36,24,18,3,9,9,9,12,3,6,9,4,3,6,9,12,3,6,9,9,3,1,2,1,1,3,1,1],[1,9,72,
27,24,108,324,27,12,96,256,648,54,3,27,81,162,324,324,216,18,36,216,648,216,
324,36,54,162,72,432,81,54,108,162,648,324,324,108,324,216,108,27,72,216,648,
36,432,216,432,72,108,162,216,288,768,72,32,288,96,96,108,432,96,144,432,864,
288,162,27,324,81,432,108,324,108,648,18,432,54,54,108,324,36,324,18,324,162,
27,108,216,81,432,108,324,648,648,648,648,324,648,36,324,648,648,648,324,648,
54,324,648,324,216,108,216,27,216,324,108,162,324,324,162,324,27,27,324,216,
162,162,324,108,108,54,648,54,54,27,54,108,324,162,162,432,162,216,18,108,108,
108,54,108,81,108,108,18,81,108,432,432,162,18,162,324,324,108,54,216,216,216,
216,108,324,108,324,54,6,324,324,18,54,54,54,432,108,108,648,18,216,216,108,
108,108,36,144,54,108,108,216,108,24,108,108,36,216,432,648,162,324,432,27,
108,216,108,108,108,108,108,54,432,216,48,256,384,432,216,432,432,432,864,432,
432,216,288,216,144,192,96,144,864,216,576,216,432,72,72,3,864,72,432,24,288,
576,288,48,288,288,96,72,288,288,96,96,108,288,288,54,324,324,36,108,81,648,
324,162,648,108,324,324,54,324,162,162,324,324,54,54,27,324,108,108,54,162,81,
162,18,81,216,108,108,324,54,54,54,216,162,108,324,108,108,54,108,324,108,108,
54,324,324,324,72,324,162,324,54,18,54,27,162,108,108,324,162,162,162,162,216,
108,108,108,162,54,54,54,108,162,108,18,27,108,54,108,108,108,108,108,81,108,
54,324,324,216,324,324,18,108,108,108,108,108,108,324,324,324,36,162,108,162,
108,54,27,108,3,108,162,162,648,81,324,108,81,162,81,648,324,216,432,108,108,
108,108,108,216,324,81,324,108,162,108,324,324,108,108,108,162,36,108,108,162,
108,108,216,54,54,324,108,108,162,216,648,324,216,216,216,216,108,216,216,216,
324,216,216,54,108,216,36,108,162,81,108,324,324,108,108,108,54,54,108,108,54,
108,108,108,108,648,648,108,18,81,108,54,432,108,108,108,108,432,108,54,108,
108,108,216,18,18,54,216,216,162,162,324,36,648,324,108,108,108,108,324,54,
324,54,324,108,108,648,108,216,54,108,108,108,324,324,108,108,108,108,54,108,
108,54,108,108,108,108,216,108,108,108,108,216,108,648,216,108,54,216,216,54,
54,108,324,108,162,144,32,256,1152,144,128,48,96,384,576,24,144,24,216,216,
432,72,32,216,72,27,216,432,72,144,72,432,432,144,216,144,144,432,96,432,144,
18,144,72,72,192,108,432,108,576,72,72,108,72,24,432,108,288,432,432,192,288,
432,216,432,216,288,288,36,432,288,24,72,432,216,432,288,432,144,216,144,216,
108,288,64,108,54,54,108,108,54,36,54,27,108,108,54,324,162,54,108,162,54,108,
324,324,108,27,54,162,54,108,108,27,108,54,81,36,324,27,54,54,108,324,81,27,
108,108,108,162,108,324,108,162,54,54,162,18,54,54,81,54,54,54,81,54,108,54,
162,54,108,81,108,162,324,108,54,162,108,108,81,108,108,108,324,108,108,216,6,
108,108,54,108,27,18,324,36,108,108,108,324,81,81,108,108,324,324,9,54,54,54,
108,324,324,324,108,108,18,54,108,108,54,108,324,54,81,108,108,108,54,81,108,
108,108,162,36,108,108,216,18,108,108,108,108,162,108,108,108,324,54,108,162,
108,108,108,108,108,6,108,162,27,162,108,54,81,81,162,216,108,27,54,162,108,
54,108,81,162,81,108,108,324,324,324,18,108,324,108,324,324,324,108,324,162,
54,162,108,54,54,54,108,108,162,108,324,54,81,54,162,27,108,162,108,162,108,
54,18,108,216,108,18,108,324,108,9,54,108,27,108,27,108,324,108,108,108,324,
108,162,54,108,162,108,162,27,27,36,108,54,54,54,108,108,108,54,9,108,108,54,
54,108,162,108,162,54,162,288,144,96,96,96,48,192,48,288,48,16,96,144,24,384,
96,288,96,192,48,288,288,432,216,144,96,108,72,144,72,216,6,216,18,144,72,432,
72,216,108,18,72,24,72,54,108,432,72,72,48,54,54,54,144,12,216,36,72,108,108,
216,216,108,144,72,108,216,216,216,108,432,72,6,216,18,108,216,72,48,432,72,
36,72,108,108,72,432,216,54,108,108,27,144,144,216,144,108,72,72,72,72,72,216,
192,128,54,27,162,108,54,108,27,54,54,18,54,108,1,108,108,54,162,108,162,54,
54,162,162,54,27,162,54,162,108,54,81,108,54,54,54,54,162,162,162,54,54,54,54,
54,18,18,81,81,27,81,54,162,54,18,162,54,54,54,81,162,81,324,81,81,54,162,54,
54,54,54,108,54,108,81,162,27,54,27,27,54,108,18,81,54,162,54,108,54,324,54,
162,162,81,27,54,108,18,54,108,54,27,54,54,81,27,27,36,27,108,54,162,108,108,
54,54,108,54,81,108,108,81,27,27,27,27,54,27,54,27,108,54,27,54,108,54,54,54,
108,36,108,54,9,54,54,54,54,54,54,96,288,288,144,144,96,72,96,576,48,72,96,48,
96,96,288,32,64,96,32,144,24,96,288,144,48,48,48,36,6,72,72,36,108,24,108,72,
27,216,6,108,108,108,24,18,18,72,18,54,36,54,27,24,108,54,72,18,18,108,18,18,
72,18,108,54,72,108,108,216,18,54,144,54,36,36,72,36,108,108,72,144,54,36,108,
48,108,36,6,36,54,2,48,72,18,36,216,72,54,216,36,216,72,27,108,108,108,72,108,
64,64,48,64,81,81,81,162,27,162,27,54,54,81,27,54,27,27,27,54,27,27,27,54,27,
27,54,27,54,54,27,54,27,27,27,54,27,54,54,27,81,27,27,27,27,54,27,27,27,9,27,
54,18,54,6,27,9,54,54,27,54,48,48,72,72,48,48,144,144,48,16,72,24,3,72,72,72,
24,48,72,144,48,96,96,54,18,54,27,36,27,54,24,54,54,18,108,108,36,27,54,36,6,
54,18,27,54,18,18,108,27,18,54,54,27,36,6,4,18,36,3,36,54,36,18,54,54,18,18,
36,18,18,108,6,6,18,36,36,36,36,18,108,18,54,48,96,64,32,27,27,27,27,27,27,27,
27,9,27,27,27,27,27,27,24,36,24,3,72,72,8,48,72,9,2,9,72,24,144,72,72,6,72,72,
24,16,18,54,12,18,18,18,18,18,54,18,2,9,18,54,9,18,6,18,6,27,9,36,27,27,9,54,
18,54,16,48,16,12,27,9,18,18,9,18,6,3,72,6,4,3,6,3,6,6,3,1,24,18,6,24,9,9,27,
9,9,9,9,6,16,24,8,12,2,18,9,3,3,9,6,18,6,4,18,3,6,6,3,3,6,6,2,9,4,12,1,4,3,3,
3,1,3,3,9,6,3,2,4,3,1,1,1,1],[1,9,27,108,324,27,12,96,256,576,648,54,3,27,81,
162,324,324,18,648,216,324,36,54,162,81,54,108,162,648,324,324,324,27,648,108,
162,216,288,72,108,432,1728,144,432,864,288,162,27,324,81,108,324,648,324,324,
18,324,162,27,216,81,324,648,648,648,648,324,648,324,648,648,648,324,648,324,
648,324,27,324,108,162,324,324,162,324,27,27,324,162,162,324,648,27,54,324,
162,162,162,216,108,81,81,162,162,324,324,324,324,324,324,648,54,108,216,648,
162,324,27,768,48,256,1536,384,432,216,432,432,432,864,432,432,216,288,216,
192,432,864,216,576,216,432,72,72,576,3,864,72,432,24,864,576,48,864,96,72,
108,324,324,36,108,81,648,324,162,648,324,324,324,162,162,324,324,27,324,54,
162,81,162,81,324,54,162,324,324,324,324,324,324,162,324,27,162,324,162,162,
162,162,162,54,54,162,27,81,324,324,324,324,108,324,324,324,162,162,27,3,162,
162,648,81,324,81,162,81,648,324,324,81,324,162,324,324,162,162,54,324,162,
648,324,324,162,81,324,324,648,648,18,81,108,162,162,324,648,324,324,324,324,
648,324,324,108,648,324,162,144,1152,144,48,576,144,216,216,432,864,216,27,
216,432,432,432,432,864,216,144,432,432,144,432,18,108,432,108,72,72,108,432,
864,108,432,432,432,216,432,216,432,36,432,72,432,216,432,432,216,216,108,288,
256,64,512,54,27,108,324,162,162,324,324,27,162,27,81,324,27,324,81,27,162,
324,162,162,81,81,108,162,108,81,162,324,162,81,324,108,108,54,27,324,108,324,
81,81,324,324,9,324,324,324,324,81,108,81,162,162,324,162,162,27,162,81,81,
162,162,81,162,81,324,324,324,324,324,324,324,324,162,162,162,324,81,162,162,
162,324,324,324,162,162,162,162,162,162,288,144,192,48,288,576,144,24,96,288,
192,288,288,432,216,144,108,72,216,6,432,216,18,144,36,432,216,108,18,72,54,
108,432,48,54,54,54,12,216,108,108,216,216,108,72,108,216,216,216,108,432,6,
216,18,108,216,48,432,108,108,432,288,216,54,108,108,27,108,216,108,108,216,
192,162,27,1,54,162,162,162,162,162,162,81,54,162,162,162,81,81,81,162,162,81,
162,81,324,81,81,162,81,162,27,81,162,324,162,162,81,54,81,27,162,81,81,27,
288,288,144,144,72,576,48,72,288,144,24,288,144,256,108,108,108,27,216,108,
108,108,54,216,54,27,108,54,108,18,108,18,18,72,18,108,54,108,108,108,108,216,
54,54,108,108,144,54,108,108,108,36,54,216,72,54,216,108,216,108,27,108,108,
108,108,64,48,81,81,81,162,162,81,27,81,27,72,72,144,144,48,72,24,3,72,72,72,
24,48,72,144,144,54,108,216,54,27,27,54,54,54,108,108,27,54,6,54,27,54,108,
108,27,54,54,27,4,3,54,18,54,54,108,18,36,108,54,48,96,27,24,36,3,72,72,72,9,
9,72,144,72,72,72,72,64,54,54,54,18,27,27,27,27,54,18,54,48,12,12,24,9,18,18,
9,18,72,4,3,6,18,27,27,24,12,18,9,9,18,18,3,12,1,8,4,9,3,4,1,1],[1,9,216,27,
72,108,324,27,12,96,256,576,648,54,3,27,81,162,324,324,648,18,108,648,648,216,
324,36,54,162,216,1296,81,54,108,162,648,324,324,324,324,648,324,27,216,648,
648,108,1296,648,1296,216,108,162,216,576,288,2304,72,96,864,288,288,108,432,
1728,288,144,432,864,1728,288,162,27,324,81,1296,108,324,324,648,54,1296,162,
162,324,324,108,324,18,324,162,27,324,216,81,1296,324,324,648,648,648,648,324,
648,108,324,648,648,648,324,648,162,324,648,324,648,324,648,27,648,324,108,
162,324,324,162,324,27,27,324,648,162,162,324,324,324,162,648,162,162,27,54,
324,324,162,162,1296,162,216,54,324,324,324,162,108,81,324,324,54,81,324,1296,
1296,162,54,162,324,324,324,162,648,648,648,648,324,324,324,324,162,18,324,
324,54,162,162,162,1296,324,324,648,54,648,648,324,324,324,108,432,54,108,324,
648,324,72,324,324,108,216,1296,648,162,324,1296,27,324,648,324,324,324,324,
324,162,1296,648,768,48,256,1536,384,432,216,432,432,432,864,432,432,216,288,
864,216,432,192,288,432,1728,432,864,216,576,216,432,72,72,576,3,864,72,432,
24,864,864,576,864,48,864,864,864,1728,96,72,864,864,288,288,108,864,864,162,
324,324,36,108,81,648,324,162,648,324,324,324,162,324,162,162,324,324,162,162,
27,324,324,324,54,162,81,162,54,81,648,324,324,324,54,162,162,648,162,324,324,
324,324,162,324,324,324,324,162,324,324,324,216,324,162,324,162,54,162,27,162,
324,324,324,162,162,162,162,648,324,324,324,162,54,162,54,324,162,324,54,27,
324,162,324,324,324,324,324,81,324,162,324,324,648,324,324,54,324,324,324,108,
324,324,324,324,324,108,162,324,162,324,162,27,324,3,324,162,162,648,81,324,
324,81,162,81,648,324,648,1296,324,324,324,324,324,648,324,81,324,324,162,324,
324,324,324,324,324,162,108,324,324,162,324,324,648,162,54,324,324,324,162,
648,648,324,648,648,648,648,324,648,648,648,324,648,648,162,324,648,108,324,
162,81,324,324,324,324,324,324,162,162,324,324,162,324,324,324,324,648,648,
324,18,81,324,162,1296,324,108,324,324,1296,324,162,324,324,324,648,54,54,162,
648,648,162,162,324,108,648,324,324,324,324,324,324,162,324,162,324,324,324,
648,324,648,162,324,324,324,324,324,324,324,324,324,162,324,324,162,324,324,
108,324,648,324,324,324,324,648,324,648,648,324,162,648,648,162,162,324,324,
324,162,144,96,2304,768,1152,144,384,48,288,1152,576,72,144,72,216,216,432,
432,216,864,96,216,216,432,27,216,432,432,216,432,216,432,432,432,432,576,864,
432,216,144,432,432,288,432,144,432,18,432,216,216,576,108,432,108,1728,72,72,
108,216,72,432,864,108,864,432,432,576,864,432,216,432,216,864,864,432,864,36,
432,864,72,72,864,432,864,216,432,864,864,432,432,216,432,216,108,288,256,64,
512,324,162,162,324,324,162,108,54,27,108,324,162,324,162,162,324,162,162,324,
324,324,324,27,162,162,162,324,324,27,324,162,81,108,324,27,162,162,324,324,
81,27,324,324,324,162,324,324,324,162,162,162,162,54,162,162,81,162,162,162,
81,162,108,162,162,162,108,81,324,162,324,324,162,162,324,324,81,324,324,324,
324,108,324,648,18,324,108,54,324,27,54,324,108,108,324,324,324,81,81,324,324,
324,324,9,162,162,162,324,324,324,324,324,324,54,162,324,324,162,324,324,162,
81,108,324,324,162,81,324,324,324,162,108,324,324,648,54,324,324,324,324,162,
324,324,324,324,162,324,162,324,324,324,324,324,18,324,162,27,162,324,162,81,
81,162,648,324,81,162,162,324,162,324,81,162,81,324,324,324,324,324,54,324,
324,324,324,324,324,324,324,162,162,162,324,162,162,162,324,324,162,324,324,
162,81,162,162,81,324,162,324,162,324,162,54,324,648,324,54,324,324,324,27,
162,324,81,324,81,324,324,324,324,324,324,324,162,162,324,162,324,162,81,81,
108,324,162,162,162,324,324,324,162,27,324,324,162,162,324,162,324,162,162,
162,288,144,288,288,288,144,192,48,288,576,144,48,288,144,24,1152,96,288,288,
192,144,288,288,432,216,144,288,108,72,432,216,216,6,432,216,18,144,216,36,
432,216,432,216,108,18,432,432,216,72,72,432,54,108,432,216,216,48,54,54,54,
432,12,216,108,216,108,108,216,216,108,432,72,108,432,216,216,216,108,432,216,
6,216,432,18,108,216,216,48,432,216,108,216,108,108,216,432,288,216,54,108,
108,27,864,432,432,864,108,216,432,108,216,216,216,216,216,108,216,256,192,
384,162,81,162,324,162,324,27,162,162,54,162,324,1,324,324,54,162,324,162,162,
162,162,162,162,81,162,162,162,324,162,81,324,54,162,162,162,162,162,162,162,
162,162,162,162,54,54,81,81,81,81,162,162,162,54,162,162,162,162,81,162,81,
324,81,81,162,162,162,162,162,162,324,162,324,81,162,81,162,81,27,162,324,54,
81,162,162,162,324,162,324,162,162,162,81,81,162,324,54,162,324,162,81,162,54,
81,27,81,108,81,324,162,162,324,324,162,162,324,162,81,324,324,81,81,81,81,81,
162,81,162,81,324,162,27,162,324,162,162,162,324,108,324,162,27,162,162,162,
162,162,162,288,288,288,144,144,288,72,288,576,48,72,288,144,288,288,288,96,
192,576,288,96,144,24,288,288,144,144,144,144,256,108,18,108,216,216,108,108,
72,108,216,27,216,18,108,108,108,72,54,108,54,216,54,54,108,216,54,27,72,108,
54,216,54,108,18,108,18,18,72,18,36,108,54,216,108,108,108,108,216,54,54,432,
54,108,108,216,108,108,108,108,216,144,54,108,108,144,108,108,108,18,36,54,6,
144,216,54,108,216,72,432,108,108,54,216,108,108,216,108,216,108,108,27,108,
108,108,108,216,108,108,108,192,64,48,192,81,81,81,162,81,162,81,162,162,81,
81,162,81,81,81,162,81,81,81,162,81,81,162,27,162,162,81,162,81,81,81,162,81,
162,162,81,81,81,81,81,81,162,81,81,81,27,27,162,54,162,18,81,27,162,162,81,
162,144,144,72,72,144,144,144,144,48,48,72,24,3,72,72,72,24,48,72,144,144,144,
288,288,256,108,54,54,108,216,54,27,108,27,54,72,54,54,54,108,108,108,27,108,
54,108,6,54,54,27,54,108,54,54,108,108,27,54,54,54,27,108,18,4,108,54,108,108,
108,108,108,3,108,54,108,18,54,54,54,54,108,108,54,54,108,18,18,18,108,108,
108,108,108,108,54,36,108,108,108,54,54,108,48,96,192,96,27,81,81,81,81,81,81,
81,27,81,81,81,81,81,81,24,36,72,3,72,72,24,144,72,9,6,9,72,72,144,144,72,72,
18,72,72,72,48,64,54,54,36,54,54,54,108,54,54,54,54,108,6,27,54,54,27,18,18,
54,18,27,27,36,27,108,27,27,27,54,18,54,48,48,48,12,81,12,24,9,18,18,9,18,18,
9,72,18,4,3,18,9,6,18,9,3,72,18,18,72,64,27,27,27,27,27,27,27,27,27,27,18,48,
24,24,12,6,18,9,9,9,9,18,18,18,12,18,9,18,18,3,36,9,18,18,6,27,27,12,12,1,8,4,
12,9,9,9,3,9,9,9,18,3,4,6,12,9,4,3,3,1,4,3,1,1]],
[1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,27,27,27,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,81,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
162,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,216,216,216,216,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,324,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,432,432,432,432,512,576,576,576,576,576,576,576,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,576,576,648,768,768,768,768,768,768,768,768,
768,768,768,864,864,864,864,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1536,1536,1728,1728,1728,
1728,1728,1728,2304,2304,2304,2304,2304,2304,2304,2304,3456,3456,3456,3456,
4608,5184,6912,6912,6912,10368,13824,20736,41472],
[1642,1634,1408,1615,1577,1537,1350,1614,1633,1552,1397,1201,1108,1580,1640,
1614,1554,1483,1350,1349,1172,1629,1542,1172,1078,1439,1325,1609,1584,1488,
1440,870,1554,1581,1519,1487,1182,1325,1350,1361,1350,1141,1361,1615,1408,
1172,1072,1542,671,1141,876,1408,1519,1493,1437,1201,1382,567,1564,1552,941,
1382,1395,1543,1224,593,1396,1514,1255,941,593,1396,1487,1615,1325,1554,671,
1519,1339,1361,1108,1589,876,1493,1493,1361,1325,1542,1361,1628,1325,1479,
1614,1361,1468,1554,671,1361,1361,1078,1182,1148,1118,1350,1070,1542,1325,
1050,1108,1108,1350,1108,1493,1350,1108,1325,1148,1361,1118,1614,1141,1325,
1537,1493,1325,1325,1488,1325,1615,1614,1350,1172,1493,1488,1350,1361,1361,
1493,1108,1493,1488,1615,1581,1361,1319,1487,1479,876,1493,1439,1584,1361,
1361,1361,1488,1519,1554,1361,1361,1584,1554,1361,876,876,1493,1585,1488,1325,
1319,1361,1488,1078,1182,1046,1038,1361,1325,1361,1325,1487,1629,1361,1361,
1580,1488,1488,1488,870,1361,1361,1050,1580,1172,1172,1361,1361,1361,1542,
1285,1589,1542,1361,1172,1361,1577,1361,1361,1542,1437,870,1108,1488,1361,671,
1615,1361,1172,1361,1361,1361,1361,1361,1493,671,1172,1032,1590,1397,655,1315,
1255,1464,1289,1224,1255,958,1224,1224,1428,1393,944,1463,1213,1478,1382,1291,
593,1213,941,1428,1201,1428,1224,1564,1574,1201,1640,941,1564,1224,1617,941,
1017,1202,941,1591,941,941,1020,593,1552,1577,941,941,1396,1382,1543,941,944,
1488,1325,1325,1609,1519,1554,1050,1325,1487,1050,1361,1325,1325,1488,1325,
1484,1479,1325,1325,1493,1493,1615,1325,1361,1361,1581,1479,1554,1492,1584,
1554,1172,1361,1361,1325,1584,1487,1488,1172,1492,1361,1325,1366,1366,1487,
1361,1325,1361,1361,1487,1325,1325,1325,1440,1361,1484,1325,1487,1585,1487,
1615,1484,1361,1361,1319,1479,1493,1488,1488,1172,1361,1361,1361,1492,1580,
1488,1581,1361,1493,1361,1580,1614,1361,1493,1340,1340,1372,1372,1361,1554,
1350,1487,1361,1361,1172,1325,1325,1585,1361,1361,1361,1519,1361,1361,1325,
1361,1361,1542,1493,1361,1479,1361,1488,1615,1361,1640,1361,1479,1479,1108,
1554,1350,1361,1554,1483,1554,1108,1350,1118,671,1361,1350,1347,1347,1361,
1182,1361,1554,1325,1361,1492,1361,1325,1325,1320,1361,1361,1479,1542,1361,
1361,1479,1361,1361,1172,1493,1581,1325,1361,1361,1488,1172,1108,1350,1148,
1182,1118,1182,1361,1078,1148,1078,1325,1182,1118,1488,1361,1118,1542,1361,
1479,1554,1355,1319,1350,1361,1361,1361,1493,1488,1361,1361,1493,1361,1361,
1361,1361,1108,1108,1361,1629,1554,1361,1488,846,1361,1524,1361,1361,876,1361,
1488,1361,1361,1361,1148,1589,1589,1488,1148,1078,1487,1483,1350,1542,1108,
1347,1361,1361,1361,1361,1339,1493,1372,1493,1350,1361,1361,1108,1361,1172,
1493,1361,1361,1361,1340,1339,1361,1361,1361,1361,1487,1361,1361,1493,1361,
1371,1529,1361,1078,1361,1361,1332,1361,1172,1361,1117,1172,1361,1488,1172,
1172,1493,1487,1361,1347,1361,1484,1501,1552,560,1034,930,1501,1315,1590,1382,
930,1187,1574,1514,1577,1408,1428,1291,1224,1434,1017,1552,1428,1464,1291,
1615,1428,1273,1291,1463,1213,1464,1213,1291,1291,1290,1201,1020,1213,1428,
1508,1213,1224,1396,1243,1494,1291,1628,1213,1463,1408,1202,1543,1224,1543,
612,1564,1564,1519,1408,1577,1224,1011,1543,941,1224,1224,1206,944,1255,1428,
1224,1428,941,941,1291,1020,1596,1224,941,1577,1577,1017,1224,1020,1428,1224,
1017,944,1224,1255,1428,1243,1408,1537,1396,1397,1578,1212,1361,1487,1488,
1371,1332,1487,1542,1581,1615,1542,1361,1488,1325,1479,1493,1350,1483,1487,
1361,1325,1339,1361,1615,1493,1479,1492,1361,1361,1615,1361,1493,1554,1542,
1325,1615,1488,1493,1361,1347,1554,1614,1361,1361,1361,1479,1361,1350,1361,
1479,1487,1493,1479,1589,1488,1493,1554,1487,1484,1488,1554,1492,1519,1493,
1483,1484,1529,1554,1361,1484,1325,1361,1488,1492,1361,1347,1554,1347,1361,
1361,1325,1524,1361,1172,1629,1361,1524,1587,1372,1614,1584,1325,1520,1519,
1340,1372,1325,1554,1554,1340,1320,1339,1325,1634,1488,1493,1488,1361,1325,
1350,1347,1347,1347,1585,1487,1361,1347,1487,1361,1325,1487,1554,1529,1361,
1361,1487,1554,1361,1340,1372,1479,1542,1355,1320,1172,1584,1320,1355,1355,
1361,1487,1355,1371,1332,1361,1488,1350,1479,1332,1361,1361,1361,1361,1629,
1361,1484,1614,1479,1361,1487,1554,1554,1492,1172,1361,1554,1493,1479,1372,
1481,1340,1554,1479,1554,1366,1372,1325,1325,1325,1585,1361,1325,1340,1325,
1325,1325,1371,1325,1479,1493,1492,1350,1487,1487,1488,1320,1350,1479,1350,
1325,1487,1554,1487,1479,1554,1340,1479,1347,1479,1372,1482,1580,1372,1172,
1372,1580,1340,1325,1350,1615,1488,1350,1554,1350,1554,1350,1325,1332,1350,
1347,1325,1366,1479,1488,1347,1479,1347,1484,1554,1554,1542,1372,1487,1487,
1480,1372,1361,1340,1493,1615,1371,1340,1493,1489,1347,1492,1340,1479,1487,
1484,1380,1501,1378,1382,1382,1501,1478,1590,1380,1201,1501,1590,1374,1501,
1617,930,1552,1395,1382,1476,1501,1374,1378,1273,1428,1509,1396,1519,1564,
1255,1408,1428,1638,1291,1428,1628,1496,1434,1609,1273,1408,1291,1428,1543,
1629,1291,1291,1434,1577,1577,1291,1581,1519,1224,1440,1408,1592,1581,1580,
1584,1243,1633,1429,1542,1408,1537,1543,1428,1428,1519,1255,1564,1537,1291,
1408,1408,1428,1519,1224,1408,1637,1428,1291,1628,1543,1428,1464,1591,1224,
1408,1542,1463,1543,1543,1464,1224,1393,1428,1581,1519,1543,1615,1017,1243,
1213,1020,1524,1428,1213,1533,1408,1408,1440,1463,1408,1529,1428,1397,1477,
1315,1488,1554,1479,1350,1493,1347,1614,1492,1484,1580,1493,1350,1642,1350,
1347,1581,1479,1361,1479,1487,1493,1484,1479,1492,1554,1479,1492,1492,1371,
1492,1554,1372,1581,1493,1487,1493,1479,1479,1479,1492,1484,1484,1484,1493,
1589,1589,1554,1554,1554,1554,1492,1479,1492,1585,1479,1487,1492,1484,1554,
1479,1554,1325,1554,1554,1487,1479,1492,1488,1484,1487,1340,1487,1372,1554,
1484,1554,1492,1554,1615,1488,1372,1585,1554,1488,1479,1487,1328,1493,1325,
1488,1479,1479,1554,1554,1488,1332,1584,1493,1372,1487,1554,1487,1587,1554,
1615,1554,1542,1554,1340,1484,1492,1347,1347,1488,1487,1340,1488,1554,1361,
1348,1554,1554,1554,1554,1554,1488,1554,1488,1554,1320,1493,1614,1487,1340,
1487,1484,1484,1350,1542,1355,1493,1615,1487,1488,1484,1487,1487,1493,1378,
1380,1395,1501,1501,1395,1564,1374,1191,1590,1564,1378,1501,1382,1374,1396,
1552,1478,1201,1395,1552,1514,1617,1396,1380,1514,1501,1501,1501,1397,1543,
1629,1541,1434,1408,1542,1519,1577,1519,1408,1615,1428,1629,1519,1519,1519,
1574,1589,1541,1585,1408,1584,1581,1543,1402,1581,1615,1577,1519,1589,1464,
1580,1524,1628,1535,1625,1629,1577,1628,1609,1519,1581,1463,1543,1543,1529,
1529,1428,1584,1581,1263,1581,1542,1537,1464,1528,1529,1519,1537,1463,1508,
1581,1542,1519,1507,1519,1524,1543,1625,1596,1581,1637,1496,1408,1580,1543,
1428,1564,1291,1524,1529,1581,1428,1524,1542,1428,1529,1440,1529,1524,1615,
1528,1529,1519,1543,1440,1542,1524,1524,1477,1578,1590,1477,1554,1554,1554,
1479,1554,1479,1554,1492,1492,1554,1554,1487,1554,1554,1554,1484,1554,1554,
1554,1484,1554,1554,1487,1615,1493,1484,1554,1492,1554,1554,1554,1488,1554,
1493,1493,1554,1554,1554,1554,1554,1554,1488,1554,1554,1554,1615,1614,1484,
1585,1493,1629,1554,1615,1488,1492,1554,1488,1501,1501,1564,1564,1501,1501,
1514,1501,1592,1590,1564,1617,1640,1564,1577,1564,1621,1591,1564,1514,1509,
1501,1395,1396,1397,1524,1581,1589,1524,1402,1581,1615,1543,1615,1589,1577,
1581,1589,1589,1519,1519,1528,1615,1529,1581,1542,1637,1581,1589,1615,1581,
1529,1589,1584,1541,1543,1615,1580,1581,1581,1615,1543,1629,1639,1529,1585,
1529,1537,1529,1541,1524,1640,1542,1581,1543,1628,1581,1581,1585,1580,1528,
1524,1589,1589,1519,1625,1625,1628,1543,1537,1543,1543,1524,1524,1589,1609,
1519,1529,1529,1584,1581,1524,1590,1551,1477,1552,1614,1554,1554,1554,1554,
1554,1554,1554,1615,1554,1554,1554,1554,1554,1554,1617,1596,1577,1640,1564,
1574,1621,1501,1564,1634,1637,1634,1564,1574,1508,1509,1564,1577,1625,1564,
1564,1577,1592,1578,1589,1581,1607,1589,1584,1580,1524,1589,1589,1581,1584,
1529,1637,1615,1585,1581,1615,1628,1629,1580,1629,1614,1615,1609,1615,1543,
1615,1615,1615,1581,1629,1581,1590,1590,1590,1633,1554,1631,1619,1634,1628,
1628,1634,1626,1625,1634,1564,1625,1639,1640,1627,1634,1637,1626,1634,1640,
1574,1627,1625,1577,1578,1615,1615,1615,1614,1615,1615,1615,1615,1614,1614,
1629,1590,1617,1621,1633,1637,1628,1634,1634,1634,1634,1625,1629,1626,1632,
1628,1634,1626,1629,1640,1609,1634,1627,1627,1637,1614,1615,1633,1633,1642,
1635,1639,1633,1634,1634,1634,1640,1634,1634,1634,1629,1640,1639,1637,1633,
1634,1639,1640,1640,1642,1639,1640,1642,1642],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,12,1,1,1,10,1,10,1,1,9,1,1,9,1,10,12,10,1,1,
2,1,7,2,1,1,1,1,6,1,1,1,1,4,4,1,1,1,1,1,1,1,7,4,4,1,1,4,4,1,1,1,2,2,2,2,1,2,1,
1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,1,1,1,4,1,1,4,1,1,1,6,1,1,4,4,
1,1,4,2,1,4,1,4,1,1,6,6,1,1,1,1,1,4,4,1,1,1,1,1,2,4,2,1,1,4,4,1,4,4,4,1,1,4,2,
1,1,1,1,1,4,4,1,1,4,1,1,4,1,1,4,4,1,1,2,1,4,7,1,4,1,1,4,4,4,4,1,7,1,1,1,1,1,1,
9,1,9,9,9,9,9,1,9,28,9,1,1,15,10,16,12,1,10,9,28,1,9,9,1,1,15,10,9,1,1,10,55,
22,10,15,10,10,26,12,1,22,10,1,10,10,1,1,1,4,2,1,1,1,4,2,1,1,2,4,2,2,4,2,1,1,
2,2,4,4,4,2,4,4,2,1,1,1,4,1,6,4,4,2,1,4,4,7,4,4,1,4,4,4,4,2,4,4,4,2,4,4,1,4,4,
2,4,4,4,4,4,4,4,2,2,4,4,4,6,1,4,4,4,1,4,1,4,1,4,4,1,4,4,4,4,4,4,4,4,1,1,4,4,2,
2,2,4,4,4,4,1,4,4,2,4,4,1,4,4,2,4,4,1,4,1,1,2,2,2,1,2,4,1,1,1,2,2,30,7,4,1,1,
1,4,7,4,4,2,4,1,4,2,2,4,4,4,2,1,1,1,2,4,4,2,1,2,1,4,4,1,7,2,2,29,7,30,7,4,6,
29,6,2,7,30,4,4,30,4,4,4,4,4,2,1,4,4,4,1,4,4,4,1,4,4,4,4,2,2,4,1,1,4,4,8,4,1,
4,4,6,4,4,4,4,4,29,1,1,4,29,6,4,4,1,4,2,4,4,4,4,4,2,4,4,4,2,4,1,2,4,7,4,4,4,4,
4,2,4,4,4,4,4,4,4,4,4,4,1,4,6,4,1,4,4,6,4,8,1,4,4,6,7,1,1,1,4,1,1,1,10,12,10,
10,227,10,227,10,1,9,1,9,15,22,59,246,2,1,55,10,59,4,246,15,59,266,246,1,4,4,
4,16,246,59,12,26,4,9,266,1,9,1,64,15,16,15,4,1,22,22,1,9,1,28,59,1,257,272,
22,59,28,1,10,9,2,15,69,9,1,59,9,10,10,16,269,257,59,10,272,272,263,59,269,9,
9,263,69,9,9,9,9,272,15,10,11,1,11,4,22,4,54,30,22,4,1,1,4,4,4,44,44,4,7,44,4,
4,2,44,4,44,4,2,44,4,4,1,4,4,4,4,44,1,4,4,4,33,44,1,4,4,4,44,4,2,4,2,22,4,2,
22,4,4,4,22,44,4,4,44,2,4,44,44,16,4,4,44,44,4,4,44,4,30,1,29,4,4,2,16,4,39,
22,4,16,8,29,1,4,44,22,2,54,30,2,44,44,54,29,44,2,1,4,4,4,4,44,2,33,29,29,22,
22,4,30,4,4,44,4,4,16,4,4,4,4,4,14,29,2,1,14,29,39,4,29,14,14,4,44,14,54,30,4,
4,7,2,30,4,4,4,4,1,4,44,1,2,4,4,4,1,44,39,4,4,4,8,30,44,14,4,4,4,22,16,2,2,2,
1,4,44,54,44,2,2,54,44,2,4,44,8,4,44,4,29,7,2,2,44,22,4,22,2,4,54,2,8,4,30,44,
1,29,39,16,1,16,2,6,44,4,6,4,6,44,6,44,30,7,30,44,4,4,4,30,2,2,44,44,44,4,30,
22,4,44,29,4,14,4,4,54,14,4,44,29,44,16,2,22,44,9,227,227,10,227,227,15,1,9,
28,227,227,227,227,15,10,15,22,10,15,227,227,227,266,59,283,10,257,9,69,272,2,
15,16,2,257,480,4,283,266,272,246,9,9,15,246,246,4,272,22,246,257,257,59,257,
272,395,257,15,15,232,1,257,15,22,257,9,59,59,257,69,9,257,246,272,272,59,15,
59,22,395,59,246,257,64,59,4,15,59,272,15,4,64,4,64,59,28,59,15,15,4,15,263,
232,4,269,486,64,4,257,272,272,15,64,272,537,59,653,227,10,4,129,130,124,54,
167,16,215,129,4,4,124,1,39,167,2,130,4,44,129,14,44,130,215,4,130,129,44,157,
142,33,212,2,54,4,33,44,44,44,215,157,161,161,14,22,22,16,44,4,44,215,33,142,
4,44,129,129,129,2,130,16,44,44,44,22,44,142,30,157,129,133,129,212,2,44,44,
142,44,4,33,212,4,33,30,44,129,76,16,44,16,2,44,44,44,30,161,4,14,212,129,129,
22,130,44,4,44,4,129,133,161,44,167,167,29,22,133,30,44,4,76,44,129,44,129,44,
29,129,29,129,215,54,16,22,133,22,161,157,39,4,142,14,129,129,29,157,44,22,54,
565,558,272,227,227,272,929,563,266,227,15,565,227,227,563,271,10,271,256,22,
271,261,929,15,59,257,227,227,227,228,4,395,283,22,272,74,604,272,604,272,15,
59,15,257,257,604,22,395,953,15,272,74,15,44,742,604,15,22,604,995,232,15,486,
604,604,395,995,272,15,953,257,604,242,44,277,537,537,59,74,257,283,257,15,
257,232,257,1030,257,257,242,266,257,74,257,395,90,486,277,995,257,604,995,
480,272,15,277,277,59,246,1021,1030,257,277,486,74,277,537,651,1030,1021,15,
582,1030,90,277,651,74,1021,1021,654,654,15,227,130,130,44,130,215,130,129,
301,301,44,129,129,76,142,130,285,161,129,130,285,129,129,129,44,133,285,215,
301,161,161,129,167,76,124,124,157,130,161,215,142,157,167,157,142,142,4,130,
285,22,133,22,215,44,212,301,157,212,563,563,261,261,565,565,929,558,395,227,
257,15,395,929,480,257,395,395,929,929,283,558,272,271,653,1021,582,395,486,
742,257,74,620,582,995,272,604,995,995,604,604,974,74,1030,604,74,395,604,995,
582,604,537,395,582,953,277,257,74,604,604,257,129,995,1047,1030,74,1030,651,
1030,953,1021,15,74,604,611,257,604,90,74,582,974,1021,995,995,604,995,995,
257,609,651,609,611,1021,1021,995,283,604,1030,1030,74,90,1021,922,929,1033,
271,130,776,776,776,481,285,400,405,129,405,776,285,301,301,400,929,947,480,
1385,614,995,995,916,1193,1385,995,395,604,395,1002,953,1193,964,995,929,929,
964,995,1313,995,604,1047,995,974,973,1021,995,995,1016,974,1030,995,1016,480,
1016,393,604,480,973,395,1362,393,953,74,1015,1016,1016,1016,604,995,1016,
1314,1314,922,395,776,1047,1047,1385,947,947,1385,1385,995,1385,1193,1385,
1047,395,1385,1385,1047,1385,1385,1385,995,1385,995,964,1517,1303,1223,1016,
1539,1239,1239,690,1223,1362,1539,995,1475,1384,995,1385,995,1251,1385,1385,
1385,1385,1385,1419,1503,1419,1505,1385,1503,1047,1385,1468,1385,1497,1497,
1419,1539,1415,1553,1553,1047,1436,1436,1385,1503,1505,1497,1385,1503,1497,
1505,1419,1567,1620,1419,1593,1557,1566,1618,1567,1618,1620,1630,1638,1641],
[( 1, 3, 8, 6)( 2,10)( 4, 7,11, 5)( 9,12),( 1, 4, 7, 8,11, 2, 3,12, 5)
( 6,10, 9)],
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1,2,1,1,-2,2,1]],[[1,-1,2,3,1,1]],[[1,1,2,-3,1,-1]]],[[[1,-2],[3,1,2,-1,3,1,2,
1]],[[2,3]],[[2,2,1,-1,2,2,1,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,3,1]],[[1,-1,2,1,
1,-1,2,1]],[[1,1,2,1,1,-2,2,1]]],[[[2,1,1,-1,2,-1,1,1,2,1]],[[2,1,1,1,2,-2,1,
-1]],[[1,-1,2,1,1,-1,2,1]]],[[[2,1,1,1,2,-2,1,-1]],[[1,1,2,3,1,1]],[[1,-1,2,1,
1,-1,2,1]]],[[[2,1,1,1],[3,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,-1,3,-1]],[[1,
1,2,1],[2,1,3,1,2,1,3,1]]],[[[1,1,2,1,1,-2,2,1]],[[1,-1,2,1,1,-1,2,1]],[[1,-2,
2,-1,1,1,2,1]]],[[[2,1,1,-1,2,-1,1,1,2,1]],[[1,-1,2,1,1,-1,2,1]],[[1,1,2,1,1,
-1,2,-2]]],[[[1,1,2,1,1,-2,2,1]],[[1,-1,2,1,1,-1,2,1]],[[1,1,2,2]]],[[[2,1,1,
-2,2,2]],[[1,1,2,-1,1,-1,2,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,-2,2,-3]],[[2,1,1,
1]]],[[[1,-2],[3,1,2,-2,1,-1,3,1]],[[1,1,2,1,1,-1,2,2,1,1]],[[2,3]]],[[[2,2,1,
1,2,-1,1,-1]],[[1,-1,2,1,1,-1,2,1]],[[2,1,1,-2,2,2]]],[[[1,1,2,1],[3,2,1,
-2]],[[1,1,2,2]],[[1,-1,2,1,1,-1,2,1]]],[[[2,2,1,-1,2,1]],[[1,1,2,2]]],[[[1,
-2,2,1,1,1]],[[2,3]]],[[[2,2,1,-1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,-1]],[[2,1,1,
-1,2,1,1,-1]],[[2,1,1,1],[1,-2,3,2]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[1,-1,2,1,1,
1,2,-1]],[[1,-1,2,-2]]],[[[1,-2],[2,-1,3,1,2,1]],[[1,-1,2,2]]],[[[1,-2,2,-1,1,
1,2,1]],[[2,1,1,-1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,-1,1,-1]],[[2,2,1,1,2,
1]]],[[[1,-1,2,3,1,1]],[[1,-2,2,1,1,1]],[[2,1,1,-1,2,1,1,-1]]],[[[1,-2,2,-1,1,
1,2,-1,1,1,2,-1]],[[1,1,2,2]],[[2,1,1,1,2,1]]],[[[2,2,1,-1,2,2,1,-1]],[[1,-2,
2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,2]],[[2,2,1,1,2,
1]]],[[[1,-2,2,3]],[[2,1,1,-1,2,-1,1,1,2,1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,1,2,
-1,1,1,2,-1]],[[2,3]]],[[[2,1,1,-1,2,1],[1,-2,3,-2]],[[1,1,2,1,1,1]]],[[[2,1,
1,-1,2,-1,1,1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,-1,1,1]],[[2,1,1,-1,2,
3]],[[1,-1,2,3,1,1]]],[[[2,2,1,1,2,1]],[[1,1,2,2]]],[[[1,-1,2,1,1,-1,2,1]],[[
1,-1,2,2]]],[[[2,1,1,-1,2,-1,1,1,2,1]],[[2,1,1,1]]],[[[1,-2,2,-1,1,1,2,1]],[[
1,1,2,2]],[[1,-1,2,1,1,-1,2,1]],[[1,-2],[2,-1,3,1,2,1]]],[[[2,2,1,-1,2,1]],[[
1,-1,2,-1]],[[1,1,2,2]]],[[[1,-2,2,-3]],[[2,2,1,1,2,1]],[[1,-1,2,1,1,-1,2,
1]]],[[[1,1,2,1,1,-1,2,-2]],[[2,1,1,1,2,-2,1,-1]],[[1,-1,2,-1,1,1,2,2]]],[[[1,
-1,2,1,1,-1,2,-2]],[[1,-2,2,1,1,1]],[[1,1,2,2]]],[[[1,1,2,-1,1,1,2,-1]],[[2,
3]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,-1,2,-1,1,1]],[[1,1,2,2]],[[1,-1,2,-2]]],[[[
1,-2,2,1,1,1]],[[1,-1,2,1,1,-1,2,1]],[[2,3]]],[[[1,1,2,-1,1,-1,2,2]],[[2,2,1,
1,2,1]],[[1,-2]]],[[[2,2,1,1,2,1]],[[1,1,2,2]],[[1,-1,2,-1]]],[[[2,3]],[[1,1,
2,1,1,1]]],[[[1,-1,2,2]],[[1,-1,2,-1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,1,2,-1]],[[
1,-2,2,1,1,1]]],[[[2,1,1,1,2,1,1,-1]],[[2,3]],[[1,-2]]],[[[1,-1,2,1]],[[1,1,2,
-1]]],[[[1,-1,2,2]],[[1,-1,2,-1]],[[2,1,1,-1]]],[[[1,-2]],[[2,1]]],[[[1,1]],[[
2,1]]]]);
AFLT( "2^6:3^3:S4","A12", [ 1, 2, 3, 4, 4, 2, 4, 3, 5, 6, 8, 7, 19, 17, 9,
12, 14, 15, 13, 15, 20, 11, 23, 14, 19, 12, 24, 18, 23, 25, 16, 15, 13, 16,
22, 20, 17, 19, 17, 20, 16, 18, 25, 17, 14, 20, 21, 11, 25, 20, 24, 13, 10,
12, 10, 36, 40, 44, 38, 31, 41, 30, 39, 39, 32, 43, 42, 28, 38, 35, 33, 29,
65, 57, 76, 63, 84, 70, 66, 111, 67, 62, 91, 63, 48, 68, 104, 71, 87, 47,
112, 60, 49, 62, 51, 59, 85, 79, 85, 67, 56, 92, 89, 60, 61, 103, 78, 91,
75, 78, 56, 77, 49, 98, 112, 74, 114, 107, 113, 48, 50, 77, 47, 54, 67, 69,
108, 110, 52, 54, 105, 50, 56, 58, 53, 86, 83, 99, 69, 109, 96, 53, 98, 96,
102, 50, 105, 78, 109, 54, 71, 80, 101, 108, 79, 75, 56, 80, 100, 93, 99,
111, 72, 88, 59, 103, 101, 55, 61, 85, 82, 110, 109, 102, 108, 111, 72, 84,
73, 106, 46, 86, 84, 97, 81, 95, 94, 66, 107, 85, 88, 52, 105, 99, 64, 50,
82, 90, 68, 64, 90, 106, 63, 87, 57, 65, 81, 90, 55, 51, 74, 100, 83, 85,
97, 84, 60, 107, 83, 80, 87, 86, 109, 83, 66, 124, 115, 121, 126, 122, 160,
184, 172, 158, 157, 162, 162, 183, 160, 141, 180, 151, 184, 139, 167, 142,
175, 150, 171, 180, 144, 152, 159, 157, 150, 156, 134, 174, 178, 147, 146,
168, 140, 143, 166, 136, 168, 165, 142, 176, 148, 137, 164, 154, 161, 163,
151, 155, 152, 294, 285, 310, 195, 203, 231, 246, 308, 197, 245, 289, 226,
252, 289, 240, 198, 314, 243, 254, 267, 266, 229, 253, 264, 302, 209, 311,
201, 192, 288, 306, 212, 279, 261, 217, 305, 275, 295, 219, 281, 280, 316,
224, 228, 276, 262, 242, 301, 279, 256, 255, 227, 218, 205, 241, 234, 323,
223, 247, 277, 208, 214, 293, 296, 238, 250, 267, 268, 269, 250, 197, 260,
265, 225, 200, 258, 205, 258, 201, 241, 229, 194, 292, 232, 214, 220, 328,
325, 263, 211, 314, 312, 236, 273, 221, 286, 284, 210, 293, 292, 291, 309,
297, 277, 283, 274, 271, 305, 266, 263, 215, 300, 278, 200, 298, 190, 204,
251, 216, 255, 199, 230, 280, 206, 196, 315, 254, 249, 337, 274, 262, 306,
329, 326, 259, 267, 272, 232, 321, 278, 322, 299, 248, 282, 327, 292, 279,
212, 193, 313, 312, 249, 299, 265, 216, 194, 230, 202, 241, 268, 307, 270,
286, 251, 334, 220, 336, 220, 259, 282, 331, 243, 287, 266, 332, 291, 299,
333, 288, 236, 213, 233, 225, 244, 311, 280, 271, 273, 306, 304, 274, 302,
207, 300, 294, 264, 261, 252, 285, 265, 193, 207, 257, 290, 222, 293, 318,
262, 272, 245, 302, 297, 264, 272, 263, 330, 191, 204, 296, 335, 217, 270,
219, 199, 247, 253, 235, 300, 290, 301, 295, 221, 267, 239, 266, 250, 270,
313, 287, 275, 213, 233, 269, 260, 260, 220, 237, 236, 298, 271, 298, 257,
276, 259, 231, 261, 220, 198, 301, 226, 256, 317, 324, 274, 221, 273, 222,
196, 304, 303, 237, 232, 315, 317, 313, 319, 307, 320, 372, 351, 371, 355,
364, 342, 354, 338, 353, 374, 350, 435, 461, 416, 424, 449, 405, 487, 482,
428, 457, 451, 486, 410, 416, 450, 411, 404, 438, 486, 474, 489, 430, 409,
455, 473, 429, 489, 468, 394, 482, 502, 439, 497, 422, 431, 417, 489, 480,
423, 433, 436, 499, 480, 434, 441, 437, 396, 401, 420, 452, 432, 438, 460,
471, 485, 426, 455, 468, 481, 446, 505, 465, 459, 429, 410, 393, 494, 458,
399, 398, 414, 496, 409, 506, 467, 403, 451, 456, 506, 470, 508, 402, 417,
466, 516, 510, 520, 673, 562, 670, 600, 683, 561, 623, 588, 538, 623, 625,
674, 695, 567, 548, 622, 578, 656, 552, 679, 580, 618, 559, 627, 649, 607,
620, 619, 589, 551, 545, 647, 615, 701, 539, 549, 548, 620, 703, 563, 540,
625, 553, 617, 568, 619, 637, 550, 629, 583, 621, 630, 560, 555, 548, 609,
582, 664, 542, 621, 663, 639, 622, 576, 597, 574, 642, 552, 566, 702, 551,
544, 662, 555, 715, 587, 681, 549, 547, 632, 658, 674, 580, 558, 641, 657,
612, 706, 608, 557, 700, 581, 628, 574, 709, 677, 565, 564, 575, 689, 579,
634, 536, 671, 546, 550, 671, 573, 638, 704, 716, 692, 592, 604, 619, 691,
641, 551, 698, 616, 627, 575, 672, 670, 618, 626, 672, 569, 688, 653, 590,
585, 708, 579, 615, 690, 607, 570, 552, 577, 603, 575, 711, 625, 543, 648,
652, 684, 672, 673, 669, 616, 537, 620, 660, 535, 645, 556, 654, 643, 610,
659, 567, 673, 545, 624, 651, 685, 603, 598, 622, 650, 624, 584, 667, 640,
680, 636, 590, 553, 696, 600, 586, 635, 678, 574, 699, 631, 554, 585, 651,
617, 605, 669, 705, 650, 637, 652, 697, 595, 648, 596, 611, 554, 599, 614,
713, 613, 710, 598, 589, 707, 576, 666, 539, 599, 633, 649, 591, 676, 629,
546, 645, 594, 614, 572, 712, 613, 693, 571, 655, 644, 675, 682, 646, 714,
661, 601, 593, 623, 686, 602, 556, 665, 687, 553, 566, 648, 541, 599, 597,
643, 668, 694, 570, 600, 638, 606, 569, 773, 766, 719, 775, 741, 744, 728,
762, 772, 735, 740, 736, 721, 765, 726, 781, 727, 734, 777, 729, 744, 745,
739, 860, 883, 824, 873, 840, 871, 908, 857, 889, 802, 817, 880, 830, 823,
881, 822, 863, 855, 868, 916, 870, 808, 867, 861, 890, 839, 809, 865, 832,
831, 893, 827, 858, 820, 827, 803, 874, 919, 825, 841, 808, 814, 832, 885,
886, 908, 841, 914, 878, 830, 866, 852, 851, 911, 875, 902, 815, 818, 910,
864, 826, 887, 909, 906, 810, 901, 853, 874, 888, 882, 879, 905, 900, 816,
907, 811, 804, 888, 803, 862, 920, 890, 868, 892, 915, 906, 850, 856, 854,
811, 887, 859, 819, 914, 956, 929, 946, 1021, 1037, 1092, 1091, 1052, 1116,
1000, 1081, 1075, 996, 1019, 1090, 995, 1068, 1115, 998, 1090, 1021, 1005,
1029, 1065, 1086, 1105, 1093, 1019, 1104, 1071, 1084, 1035, 1070, 1056,
1101, 1016, 1052, 1020, 1056, 1068, 1012, 1103, 1080, 1034, 1096, 1095,
1010, 1009, 1006, 1045, 1002, 1018, 1001, 1102, 1067, 1040, 999, 1004,
1028, 1078, 1072, 1063, 1091, 1066, 1087, 1010, 1065, 1048, 1059, 1079,
1109, 1033, 1039, 1033, 1030, 1099, 997, 1085, 1046, 1023, 1060, 1015,
1108, 1100, 1017, 1057, 1113, 1064, 1031, 1076, 1052, 1088, 1061, 1069,
1058, 1044, 1047, 1111, 1097, 1042, 1047, 1098, 1032, 1027, 1008, 1043,
1014, 996, 1054, 999, 1036, 1035, 1083, 1089, 1118, 1117, 1114, 1050, 1035,
1107, 1003, 1020, 1077, 1011, 1026, 1062, 1038, 1053, 1110, 1024, 1106,
1025, 1094, 1066, 1013, 1007, 1034, 1055, 1082, 1074, 1004, 1042, 1040,
1053, 1022, 1041, 1112, 1073, 1051, 1049, 1000, 1137, 1223, 1178, 1209,
1181, 1179, 1124, 1141, 1180, 1132, 1203, 1138, 1195, 1188, 1141, 1166,
1153, 1158, 1167, 1207, 1157, 1159, 1120, 1206, 1219, 1168, 1196, 1185,
1187, 1242, 1336, 1300, 1298, 1374, 1329, 1340, 1285, 1327, 1364, 1328,
1258, 1386, 1255, 1358, 1315, 1284, 1348, 1301, 1268, 1310, 1330, 1340,
1308, 1373, 1382, 1282, 1307, 1256, 1363, 1269, 1384, 1261, 1362, 1280,
1286, 1295, 1264, 1331, 1257, 1267, 1326, 1283, 1361, 1349, 1361, 1302,
1296, 1390, 1306, 1337, 1305, 1338, 1310, 1337, 1381, 1380, 1270, 1359,
1316, 1372, 1333, 1325, 1347, 1324, 1304, 1346, 1370, 1372, 1263, 1318,
1281, 1262, 1299, 1334, 1307, 1354, 1385, 1353, 1335, 1378, 1266, 1316,
1383, 1371, 1347, 1388, 1303, 1286, 1265, 1376, 1261, 1369, 1271, 1345,
1379, 1282, 1347, 1377, 1375, 1427, 1400, 1407, 1421, 1495, 1504, 1507,
1528, 1508, 1526, 1498, 1523, 1522, 1513, 1484, 1489, 1497, 1480, 1506,
1518, 1509, 1486, 1514, 1519, 1500, 1487, 1488, 1479, 1485, 1520, 1512,
1525, 1516, 1494, 1483, 1527, 1499, 1506, 1504, 1481, 1505, 1511, 1493,
1482, 1502, 1529, 1496, 1503, 1501, 1477, 1492, 1521, 1491, 1481, 1478,
1515, 1490, 1517, 1524, 1485, 1510, 1569, 1574, 1606, 1605, 1568, 1577,
1555, 1585, 1534, 1540, 1594, 1544, 1531, 1590, 1536, 1599, 1545, 1535,
1589, 1546, 1537, 1595, 1603, 1608, 1633, 1740, 1712, 1714, 1751, 1755,
1723, 1688, 1748, 1693, 1685, 1667, 1703, 1684, 1672, 1726, 1725, 1737,
1696, 1677, 1711, 1698, 1659, 1707, 1673, 1692, 1704, 1715, 1713, 1716,
1682, 1747, 1663, 1696, 1694, 1701, 1700, 1746, 1669, 1658, 1686, 1698,
1681, 1704, 1675, 1683, 1741, 1657, 1722, 1706, 1738, 1668, 1705, 1697,
1690, 1692, 1743, 1739, 1671, 1670, 1727, 1680, 1679, 1664, 1744, 1711,
1702, 1745, 1749, 1750, 1674, 1660, 1736, 1676, 1678, 1722, 1689, 1742,
1768, 1789, 1792, 1787, 1836, 1847, 1842, 1843, 1850, 1844, 1841, 1849,
1838, 1848, 1846, 1840, 1839, 1845, 1837, 1869, 1872, 1866, 1851, 1891,
1868, 1867, 1899, 1888, 1852, 1857, 1863, 1892, 1883, 1881, 1861, 1890,
1879, 1858, 1889, 1884, 1880, 1862, 1925, 1990, 1997, 1983, 1989, 1996,
1972, 1999, 1987, 1988, 1986, 1992, 1991, 1960, 1972, 1978, 1993, 1977,
1966, 1967, 1975, 1965, 1982, 1968, 1962, 1964, 2000, 1975, 1976, 1970,
1995, 1961, 1994, 2011, 2008, 2014, 2006, 2062, 2075, 2103, 2077, 2084,
2102, 2078, 2094, 2082, 2069, 2107, 2067, 2074, 2073, 2089, 2066, 2076,
2090, 2068, 2065, 2109, 2093, 2081, 2088, 2141, 2210, 2194, 2207, 2198,
2205, 2204, 2208, 2201, 2209, 2199, 2195, 2223, 2227, 2226, 2215, 2251,
2275, 2260, 2257, 2255, 2252, 2254, 2250, 2266, 2264, 2274, 2253, 2267,
2276, 2248, 2265, 2258, 2269, 2268, 2249, 2340, 2339, 2347, 2345, 2342,
2344, 2343, 2346, 2383, 2382, 2384, 2377, 2379, 2378, 2381, 2388, 2413,
2414, 2415, 2416, 2438, 2442, 2451, 2450, 2449, 2477, 2483, 2497, 2508 ]);
#############################################################################
#############################################################################
##
#E