/*
Th as 248 x 248 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,248,\[
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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5,5,5,0,5,8,0,8,0,8,0,8,8,0,0,8,0,8,0,0,0,0,3,8,5,5,0,5,0,0,0,0,0,3,8,8,8,8,8,8,3,6,3,11,11,8,0,8,0,5,0,5,5,5,0,5,0,5,5,5,5,0,0,0,3,0,8,5,8,2,5,10,5,5,5,0,0,0,8,8,0,8,8,0,8,0,8,0,5,0,8,5,0,8,8,8,0,0,5,0,8,0,0,8,5,5,10,0,0,5,8,3,8,3,0,0,0,0,0,0,5,0,0,8,0,8,0,0,5,0,3,0,0,8,5,0,8,8,3,0,0,8,5,10,3,3,11,0,3,10,5,2,5,5,0,10,10,5,8,10,0,0,5,8,0,0,0,8,5,10,5,10,5,5,0,0,5,0,0,8,0,8,8,8,5,10,10,10,10,5,8,0,0,0,8,0,0,0,5,5,5,5,5,5,5,5,3,0,0,5,5,5,5,0,0,8,5,10,5,10,10,5,0,5,0,0,0,0,8,0,0,8,0,5,8,5,0,5,0,5,0,8,8,8,8,0,0,0,
0,0,0,3,8,3,5,8,5,0,5,8,0,8,0,8,5,8,0,8,0,8,3,3,8,8,0,0,0,0,0,0,5,0,0,0,5,8,8,8,8,11,8,11,11,8,8,3,8,5,0,5,0,5,5,5,0,5,5,5,5,5,8,0,3,3,8,0,0,10,0,5,8,8,8,8,8,0,5,5,8,8,8,0,0,0,0,5,0,3,8,3,3,8,8,3,0,8,8,5,5,0,8,5,0,5,5,5,0,10,0,0,8,8,5,0,0,0,0,8,8,8,8,0,0,0,5,5,5,0,8,8,5,8,0,5,5,0,8,8,0,11,5,0,8,3,11,8,3,5,5,10,0,5,0,2,10,10,8,10,0,5,5,5,0,5,8,8,8,8,0,5,5,5,8,5,5,0,0,0,0,0,8,0,0,5,5,10,5,5,0,0,0,5,0,10,10,5,0,10,0,0,0,5,5,0,0,5,5,5,10,0,5,0,8,8,0,10,0,10,5,5,10,10,0,8,0,8,8,8,8,8,5,5,0,0,5,8,0,0,8,0,3,0,8,0,10,10,
8,0,0,5,5,5,5,5,0,8,8,0,0,0,8,0,5,0,5,0,5,8,8,8,0,0,8,8,8,3,5,8,0,0,8,5,0,0,0,0,8,11,3,11,11,3,0,8,0,5,0,0,8,5,5,0,8,0,5,5,0,10,0,5,3,8,0,0,8,10,5,0,0,0,8,0,0,0,5,5,8,8,0,0,0,5,8,0,5,8,0,8,8,8,3,3,0,3,8,8,0,8,8,0,0,0,5,0,8,10,8,8,0,8,5,0,5,0,8,8,5,5,0,0,0,8,0,0,0,0,3,0,8,5,0,5,5,8,8,3,8,11,0,8,3,8,11,0,3,10,10,2,5,0,8,5,5,0,0,10,8,8,8,5,0,5,0,5,8,3,0,0,0,5,8,0,8,8,8,8,8,0,0,0,0,0,0,5,5,5,8,0,0,0,8,0,0,0,0,5,5,5,5,5,5,0,0,0,0,10,5,5,5,0,5,0,10,10,10,5,10,5,8,0,8,5,5,5,0,5,5,0,0,5,8,5,0,0,0,5,5,0,0,8,0,8,0,0,
5,0,0,8,8,8,0,0,0,10,5,5,5,0,0,5,0,10,5,0,5,0,10,10,0,0,0,5,0,5,0,5,5,10,5,5,5,5,0,5,5,10,5,5,5,0,5,0,0,8,0,0,0,0,0,0,8,8,8,8,8,0,5,0,5,0,8,8,0,3,0,0,0,0,0,5,5,0,8,0,0,5,5,8,0,8,5,8,0,5,0,5,5,0,5,5,8,5,0,0,8,0,10,0,8,8,8,0,0,0,0,5,10,10,5,0,5,0,8,8,8,8,8,5,0,5,0,5,5,10,2,5,10,0,3,3,8,8,5,0,0,10,3,8,10,10,10,5,10,8,8,8,0,5,0,0,8,8,10,8,10,5,0,8,0,3,0,0,0,5,8,0,8,0,5,0,3,8,0,0,0,5,5,5,0,3,11,3,3,3,0,0,5,5,5,0,0,8,0,8,0,0,0,3,3,8,5,3,0,8,8,8,8,8,5,0,8,8,8,8,8,8,5,0,5,8,0,8,5,8,3,8,0,0,5,5,5,5,8,0,0,5,5,0,0,0,0,8,
5,5,0,5,10,8,0,5,0,0,0,0,0,0,0,0,0,5,0,5,5,5,0,0,0,0,0,0,0,0,0,0,8,0,0,0,5,0,0,5,0,5,5,0,5,0,8,8,5,5,10,0,5,5,8,0,0,8,8,0,5,0,8,5,0,0,0,0,0,0,0,0,3,3,3,10,3,7,0,10,0,8,5,3,8,0,8,8,6,3,3,0,3,0,10,10,3,3,8,8,3,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,10,0,0,0,0,0,5,0,5,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,8,0,0,8,10,5,0,0,0,0,0,0,0,0,5,0,5,0,10,8,3,8,0,0,0,5,5,0,8,8,0,0,0,0,0,0,0,0,0,8,0,0,0,5,8,5,10,0,10,0,0,3,0,3,8,0,3,5,0,0,5,10,0,0,8,5,0,5,8,5,0,8,0,3,0,8,8,8,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,0,3,0,3,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,10,3,10,6,0,3,0,0,0,0,0,0,0,0,7,0,7,0,7,0,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,10,0,0,10,0,10,0,0,0,0,0,0,0,0,0,10,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,6,10,7,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
5,8,5,8,5,0,3,8,0,0,0,0,0,0,0,0,0,0,8,10,5,5,0,10,3,10,0,10,0,10,7,10,0,8,8,8,0,0,0,0,0,0,8,0,8,5,0,0,5,10,5,5,5,8,5,0,0,8,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,5,5,5,5,8,0,0,10,3,0,3,0,10,10,0,0,3,5,8,0,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,8,0,10,5,0,0,0,0,0,0,0,0,10,0,10,0,7,3,6,3,8,0,5,8,8,5,5,0,0,0,0,0,0,0,0,0,8,0,0,0,8,0,0,8,5,8,0,3,8,8,8,3,0,0,0,0,0,0,0,0,10,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,8,3,8,8,8,8,5,0,3,8,3,5,8,5,10,10,3,0,8,0,8,5,10,10,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,0,10,0,10,7,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,7,10,0,10,10,10,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,3,0,3,10,7,7,10,0,10,0,7,3,6,3,0,0,0,0,0,0,0,0,0,10,0,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,5,0,5,8,5,0,0,0,0,0,0,0,0,0,0,0,0,5,8,0,8,8,8,5,8,0,8,0,8,3,8,0,0,5,0,8,5,0,0,5,5,5,5,5,0,0,5,8,8,3,5,0,5,0,5,5,5,5,8,8,0,0,8,0,5,8,10,5,0,5,5,8,8,8,5,8,10,0,5,8,8,8,5,5,0,0,5,3,3,0,0,10,0,3,0,5,10,10,0,5,0,0,8,0,8,5,8,0,0,0,0,0,8,5,3,8,0,8,8,8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,0,8,8,0,5,0,8,5,10,0,5,0,5,8,3,3,8,0,8,0,3,5,10,5,0,8,0,5,5,5,3,0,0,8,0,0,0,8,8,8,8,8,8,8,8,0,10,5,8,0,0,0,8,0,10,5,0,10,0,5,5,0,5,5,8,0,0,5,0,0,5,0,5,0,5,0,0,8,0,8,0,5,10,0,0,5,8,8,5,8,5,3,0,3,8,3,10,5,0,5,5,8,0,0,
8,0,3,5,0,0,5,10,0,0,0,0,0,0,0,0,5,0,5,8,5,8,8,3,5,8,0,8,0,8,3,8,8,5,5,0,0,0,5,0,0,5,5,5,10,0,0,0,8,0,0,0,8,10,0,5,0,0,8,8,0,8,5,5,0,5,8,10,5,0,5,5,8,8,8,5,8,10,0,5,8,3,8,3,3,8,0,8,3,3,0,0,10,0,3,0,8,8,0,8,0,5,0,5,0,8,5,8,0,0,0,0,0,8,5,3,8,0,8,8,8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,0,0,8,0,8,5,0,0,10,0,5,0,5,8,3,3,8,0,8,0,3,5,10,5,0,5,8,10,5,0,5,5,0,8,0,0,0,8,8,8,5,0,5,8,5,8,8,0,8,0,5,5,5,5,8,0,0,10,0,5,5,0,5,5,8,0,5,0,0,5,0,5,5,0,5,0,0,8,0,8,0,5,8,5,0,0,0,0,5,0,5,0,0,5,3,8,5,8,0,3,8,8,8,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,7,10,0,10,10,3,3,3,10,3,7,0,10,0,0,0,0,0,0,0,0,6,6,6,0,0,0,0,7,0,0,0,0,0,0,0,0,0,3,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,10,10,0,10,10,0,0,0,0,0,0,0,0,10,0,10,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,5,10,0,10,8,8,8,0,0,0,0,0,0,0,0,8,5,8,10,0,10,5,10,8,5,0,5,0,5,10,5,0,8,8,0,5,0,8,5,0,0,0,8,8,0,8,8,10,5,10,0,10,8,8,8,0,8,0,5,5,5,3,0,0,8,5,3,8,0,8,8,5,5,5,8,5,3,0,8,5,5,10,0,5,5,8,0,10,7,10,0,0,0,0,3,8,8,8,0,3,0,5,0,0,5,8,5,0,0,0,0,0,8,5,3,8,0,8,8,5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,5,5,5,0,0,0,0,10,0,5,0,5,8,3,3,5,0,5,0,10,8,3,8,8,8,0,3,8,8,5,0,0,8,0,0,0,8,8,8,0,0,0,5,5,0,8,8,5,0,8,0,0,8,0,8,0,3,0,8,8,0,8,8,5,8,8,0,0,0,8,0,8,0,8,0,0,5,0,5,8,8,8,0,0,0,5,10,8,0,3,5,0,0,5,10,8,0,0,0,5,0,0,5,
0,5,0,10,5,5,8,5,8,8,8,0,8,5,8,0,5,8,0,3,0,3,0,8,8,8,8,0,8,8,5,0,5,0,5,0,0,8,8,8,8,0,3,10,0,5,5,10,8,0,8,5,0,0,5,0,8,0,8,5,5,5,0,10,8,8,0,8,8,0,5,8,8,8,0,3,3,0,5,0,5,5,0,0,0,0,8,0,5,0,8,0,0,3,0,8,3,8,3,0,8,0,5,5,8,3,8,8,8,0,8,0,8,0,8,0,3,0,10,5,8,8,0,8,0,0,5,0,3,0,0,0,0,0,10,10,8,0,5,5,5,10,8,0,8,0,8,5,0,0,0,0,8,3,8,0,0,5,8,5,5,5,0,8,0,3,5,0,8,8,8,0,0,5,8,0,0,0,8,8,8,8,0,8,0,8,8,0,0,8,0,8,0,0,0,8,0,0,5,0,8,8,8,3,3,8,5,8,10,5,5,5,10,8,8,0,5,5,5,10,10,5,3,0,5,0,0,8,0,8,5,0,10,10,5,5,5,8,0,8,0,8,8,0,0,5,8,0,
8,8,8,8,3,0,5,0,5,0,5,8,0,8,0,8,8,5,0,5,0,5,0,0,0,0,0,8,0,5,0,5,8,5,0,5,0,0,5,5,5,5,10,8,0,0,8,3,10,10,2,0,5,5,8,0,0,5,10,8,3,0,5,3,0,0,8,0,0,0,0,5,0,0,0,0,0,0,8,0,5,10,5,10,10,5,8,0,3,3,8,3,3,5,5,0,10,5,5,5,5,0,8,8,0,5,8,5,0,0,10,10,5,5,5,0,0,0,0,8,5,5,8,0,0,3,5,5,8,0,8,5,8,5,0,8,5,5,0,0,0,8,5,0,10,0,5,8,5,8,8,8,10,2,5,5,5,8,5,0,3,8,8,5,0,5,5,5,5,5,0,5,5,8,5,5,8,5,0,10,0,5,10,5,0,5,5,0,8,5,0,0,0,0,0,0,0,0,8,8,10,10,10,10,10,0,8,0,0,5,0,0,0,0,5,0,0,0,0,0,5,8,0,0,8,8,8,0,0,0,0,5,0,0,0,0,0,0,8,0,5,5,5,5,5,0,0,0,
5,5,0,5,5,0,0,0,0,5,8,10,10,0,5,10,5,8,5,8,0,0,8,8,0,0,5,5,5,0,8,8,5,5,5,5,5,5,8,0,8,8,3,0,0,0,5,10,8,8,3,0,0,8,5,5,5,0,0,0,10,8,8,0,0,5,10,10,5,10,8,0,8,8,3,5,5,0,5,10,8,0,0,8,8,0,5,0,5,5,0,5,5,8,0,0,0,0,0,0,0,0,0,5,10,5,10,8,5,3,8,11,0,5,5,0,5,0,8,8,3,8,8,10,0,10,0,5,10,0,0,3,8,11,0,8,8,8,8,0,8,5,0,5,3,0,0,5,0,10,0,5,8,3,8,8,8,0,0,0,5,5,5,8,0,8,0,8,0,0,5,0,0,0,8,8,5,0,5,8,5,8,8,8,8,0,8,5,5,0,5,5,10,0,0,5,0,8,8,0,8,8,8,0,0,10,8,5,8,3,0,8,8,5,8,8,5,0,5,8,0,0,8,8,0,0,0,5,0,5,0,0,8,8,0,8,0,5,0,0,0,0,0,3,3,11,5,3,
0,0,0,5,5,5,0,5,8,8,3,5,0,5,5,5,5,0,0,0,0,0,8,0,0,0,5,10,5,5,8,0,5,0,0,8,0,0,8,8,8,0,11,5,0,8,10,2,3,3,3,0,8,0,5,5,0,8,8,0,5,0,8,0,0,5,5,0,8,0,5,8,5,5,0,5,5,0,0,0,8,8,0,8,8,8,5,0,5,5,5,5,5,0,8,0,0,0,5,5,5,5,0,5,0,0,5,0,5,0,8,8,5,0,0,0,5,0,8,0,8,3,0,0,0,10,8,0,2,10,2,8,10,3,3,3,0,0,8,0,8,0,5,5,11,5,8,10,0,10,10,10,8,11,3,3,3,8,5,0,5,10,10,0,0,0,8,3,0,5,5,5,0,5,0,5,0,8,5,8,5,0,8,0,0,0,0,5,5,0,0,5,5,5,5,0,5,8,0,0,8,8,8,0,0,0,0,5,8,3,0,3,3,0,0,8,5,0,5,8,8,5,8,8,0,5,5,5,5,5,0,0,8,8,0,0,5,5,0,5,0,5,0,0,0,0,0,0,
0,0,5,8,0,0,8,8,8,5,5,0,8,5,0,0,0,5,0,5,5,0,5,5,0,0,0,8,0,0,0,0,8,3,8,8,0,0,0,0,5,0,10,0,5,0,3,3,5,5,10,0,5,5,3,8,0,5,0,5,8,0,5,0,0,8,8,8,0,8,0,0,5,5,5,0,0,0,0,8,8,3,3,0,8,0,5,5,8,0,0,5,0,10,0,5,8,0,8,3,8,3,5,8,8,0,8,5,0,5,5,10,3,3,3,0,8,0,5,10,10,5,5,8,0,8,8,8,3,3,8,8,8,10,5,5,0,8,5,8,0,0,3,3,5,8,0,3,8,3,0,8,5,10,10,5,10,5,3,0,5,8,8,0,0,0,8,5,3,3,3,3,3,0,5,8,10,5,0,5,0,0,8,0,0,8,8,8,8,0,0,0,3,8,8,0,0,5,5,5,5,5,5,8,8,8,5,3,0,5,0,5,0,0,0,0,8,0,8,0,8,0,10,5,5,5,0,0,0,8,0,0,0,0,8,0,8,0,5,5,8,8,8,5,0,10,0,10,
8,0,0,0,0,0,0,0,8,0,0,0,8,5,8,0,8,5,0,0,0,0,5,5,0,0,8,0,8,0,5,5,0,0,5,0,0,8,0,8,0,0,0,5,0,5,8,0,0,5,5,0,0,0,0,8,0,5,0,5,0,5,0,5,0,0,8,8,8,8,5,0,0,0,5,8,8,0,8,8,5,5,0,5,5,5,8,5,0,8,0,3,8,8,0,8,3,0,3,8,3,8,10,0,8,8,8,0,8,5,0,5,3,8,8,0,3,0,10,5,0,0,0,8,0,8,5,0,3,0,8,5,0,5,2,10,5,0,10,8,5,8,3,11,0,8,8,8,8,8,0,8,0,0,5,0,5,5,3,0,0,0,3,5,0,8,5,10,8,8,3,8,8,0,0,8,5,5,8,0,8,8,0,8,5,0,0,8,8,8,8,8,8,8,0,8,0,5,0,0,0,0,0,8,8,8,10,8,10,10,5,5,10,8,8,0,0,0,0,5,5,0,8,0,0,0,0,8,8,8,5,0,10,5,0,0,0,3,0,8,0,8,8,5,5,5,8,5,
0,5,10,0,5,0,0,8,3,0,8,5,8,10,0,5,5,0,0,8,0,8,5,0,8,8,0,0,0,0,0,0,0,8,5,8,0,0,8,8,8,8,3,5,0,0,0,5,0,0,5,0,5,0,8,8,0,5,8,5,0,0,5,5,5,0,5,8,0,3,0,3,0,0,0,8,8,0,5,0,0,0,8,0,8,0,5,5,0,5,0,5,5,0,5,5,3,0,3,8,8,8,10,5,8,0,0,5,0,10,0,5,3,3,8,0,8,0,5,5,0,8,0,8,0,0,0,0,8,0,8,8,0,0,10,10,8,3,0,8,0,0,3,8,3,8,3,0,8,0,5,5,0,8,5,3,0,0,3,8,10,5,0,8,0,3,0,0,3,3,3,3,3,0,0,8,10,5,0,0,0,8,8,8,8,3,3,8,8,8,5,0,8,8,0,8,0,0,5,0,0,0,0,3,3,8,5,3,5,0,0,0,0,8,8,8,0,8,0,8,8,0,8,8,0,5,0,0,8,8,5,8,5,0,0,0,0,0,0,0,8,8,8,5,0,10,8,5,
5,0,8,5,0,0,8,0,10,0,0,0,10,3,8,0,0,3,0,8,0,0,8,8,8,8,8,8,8,8,5,0,5,5,0,5,5,0,0,5,8,0,0,0,0,5,5,5,0,0,8,0,0,0,5,5,0,0,5,0,5,0,0,0,8,0,5,10,5,2,8,5,3,3,8,0,0,0,5,5,0,0,0,8,0,8,0,8,0,0,8,5,0,0,0,0,5,0,5,5,5,5,3,0,10,0,0,3,8,11,0,3,5,10,5,0,5,0,8,8,8,0,8,10,0,5,0,5,0,3,8,8,8,3,8,8,8,5,0,10,5,10,5,10,0,0,5,5,5,5,8,0,0,0,8,5,0,0,5,5,0,0,5,8,0,0,0,8,5,5,10,5,10,0,8,0,3,8,8,0,8,5,5,5,0,5,0,5,5,0,5,0,10,5,0,10,0,0,8,0,0,0,0,5,5,10,3,5,0,0,0,5,10,0,0,5,0,5,0,10,5,5,0,5,0,8,8,0,0,5,0,5,0,5,0,5,0,0,0,8,0,0,0,3,3,11,10,3,
8,8,0,8,3,5,0,8,3,3,0,3,0,10,0,10,0,5,0,5,5,5,0,0,10,3,0,3,0,3,0,3,5,0,0,0,8,0,0,8,0,8,8,0,8,0,5,5,5,5,10,0,5,5,8,0,0,8,8,0,5,0,8,5,0,10,10,0,10,0,10,10,10,3,3,3,3,6,0,3,0,5,8,10,5,0,5,5,0,0,0,0,0,0,0,0,3,3,8,8,3,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,8,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,8,0,0,8,10,5,0,0,0,0,0,0,0,0,5,0,5,0,10,8,3,8,0,0,0,8,8,0,5,5,0,0,0,0,0,0,0,0,0,8,0,0,0,5,8,5,0,0,0,0,0,0,0,0,5,0,10,8,0,0,8,3,0,0,8,5,0,5,8,5,0,5,0,10,0,5,5,5,
0,0,0,0,0,0,0,0,10,10,0,10,0,3,0,3,0,0,0,0,0,0,0,0,0,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,3,0,3,3,3,10,10,10,10,7,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,0,0,3,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,8,0,0,0,8,8,8,0,0,0,0,0,0,0,0,3,3,3,8,8,0,5,5,3,3,6,10,0,10,0,10,5,0,0,8,0,3,5,0,3,0,0,5,8,10,5,5,0,0,0,5,5,0,8,5,8,0,0,5,0,10,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,5,8,10,5,5,0,0,0,0,0,0,0,0,8,0,0,5,0,10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,8,0,3,0,5,0,0,10,7,0,0,10,3,3,3,8,8,5,0,10,0,10,0,8,8,8,0,3,0,0,0,0,0,3,3,0,10,10,8,8,0,8,3,5,0,8,0,0,0,0,0,0,0,0,5,5,5,10,10,0,8,0,5,5,0,5,0,8,0,8,8,8,8,0,0,0,5,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,7,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,10,10,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,0,10,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,10,10,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,0,8,5,5,5,5,10,8,8,0,8,0,5,0,5,10,0,5,8,0,8,8,8,0,0,10,3,3,0,10,3,0,0,5,0,5,5,3,0,5,5,0,0,5,8,8,0,3,8,8,8,3,0,10,0,0,0,0,8,8,3,5,8,0,5,5,0,5,0,5,5,5,8,8,8,8,3,0,8,5,8,5,8,5,0,3,8,0,5,8,0,8,0,5,5,10,5,5,8,0,3,0,3,3,8,8,8,3,0,10,0,0,0,0,0,0,0,0,0,8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,5,0,0,5,0,0,8,0,0,0,8,0,8,8,0,0,8,0,8,0,3,5,10,5,0,0,5,0,5,5,3,0,0,8,3,0,0,8,5,5,5,5,5,8,8,0,0,8,5,5,10,5,10,5,3,8,0,0,0,5,5,0,8,8,5,0,0,0,5,3,0,8,8,0,5,0,0,5,0,5,0,8,3,8,8,8,0,0,8,8,0,3,8,8,5,0,0,8,5,3,8,0,8,8,
0,5,5,5,0,10,0,0,8,8,0,8,0,5,0,5,5,10,5,5,5,5,8,0,0,0,10,3,3,0,10,3,5,5,5,0,0,0,8,3,0,8,3,0,0,8,5,5,0,0,5,0,5,5,0,0,5,8,0,8,0,8,3,8,0,5,5,0,5,0,5,5,5,8,8,8,8,3,0,8,5,0,8,0,0,8,0,8,0,5,8,0,8,0,5,5,0,3,8,3,8,8,0,0,3,8,8,8,3,0,10,0,0,0,0,0,0,0,0,0,8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,5,8,0,8,0,8,0,8,0,0,8,0,8,8,0,0,8,0,8,0,3,5,10,5,0,10,0,5,5,0,5,5,0,8,3,0,0,8,5,5,5,0,5,8,5,8,8,3,5,5,5,0,0,0,5,0,0,0,0,5,5,0,8,8,5,0,5,8,5,8,8,0,8,0,5,0,0,5,0,5,0,8,5,3,8,0,8,8,8,0,0,0,8,10,0,5,5,5,5,5,5,0,0,5,
0,0,0,0,0,0,0,0,3,3,0,3,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,10,10,10,3,3,3,3,6,0,3,0,0,0,0,0,0,0,0,0,10,3,0,3,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,10,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,6,10,7,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,3,8,3,3,8,0,8,5,5,0,5,0,8,0,8,8,8,8,0,0,0,5,0,3,3,3,0,3,10,3,0,0,8,8,0,8,0,5,5,0,0,5,0,8,5,0,0,5,5,5,0,0,0,8,0,8,0,8,5,5,5,5,10,0,8,8,0,8,0,8,8,8,5,5,5,5,10,0,5,8,5,0,10,5,5,5,10,0,8,5,0,5,0,8,8,3,0,0,5,8,10,5,5,3,8,8,8,3,0,10,0,0,0,0,0,0,0,0,0,5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,0,8,0,0,0,5,0,0,5,0,0,8,0,8,8,0,0,5,0,5,0,10,8,3,8,8,3,8,8,8,8,5,0,0,5,10,0,0,5,8,8,0,0,0,5,5,0,8,5,8,8,8,8,8,0,0,5,0,0,0,8,8,0,5,5,8,8,8,5,8,10,0,5,8,0,5,0,0,5,0,5,5,5,5,5,5,0,0,8,5,0,8,5,5,8,8,0,8,0,8,5,8,5,5,0,
8,0,5,0,0,5,0,10,8,0,5,8,3,5,0,8,8,0,0,5,0,10,0,0,0,0,0,8,0,0,0,0,10,10,10,0,5,0,8,8,8,8,8,8,8,0,5,5,5,0,0,8,0,8,0,0,5,0,5,8,0,8,0,8,8,0,0,10,5,2,8,10,8,8,8,5,5,0,0,5,0,5,5,8,0,8,5,0,8,0,0,0,0,5,5,5,0,0,0,8,8,0,0,0,10,0,5,3,0,11,8,11,5,10,5,0,5,0,8,8,0,8,5,3,0,0,0,8,0,10,5,2,10,2,8,10,0,8,0,8,0,8,8,8,8,0,0,5,0,10,0,5,5,0,0,0,5,0,8,5,0,5,5,0,0,0,0,8,5,0,5,8,0,8,8,3,5,0,0,8,0,8,8,8,8,5,0,0,8,5,10,5,0,5,8,0,0,0,5,5,5,5,5,0,0,3,0,8,0,0,0,5,5,5,3,0,0,8,0,8,8,0,8,8,10,5,10,3,10,11,8,3,0,8,8,3,3,8,5,8,5,0,0,8,0,0,0,0,
5,0,3,0,0,3,5,8,5,5,0,5,10,8,0,5,5,5,0,0,5,8,0,8,0,0,0,0,0,5,0,5,0,8,8,8,8,8,0,8,5,5,5,5,5,8,0,0,5,5,5,10,10,5,8,0,3,0,8,0,8,0,10,5,5,8,0,3,0,11,0,3,5,5,5,8,8,0,8,8,0,8,0,0,0,0,8,0,8,8,0,0,8,10,8,0,8,8,8,0,8,0,5,0,3,8,0,5,0,2,8,5,0,3,8,0,0,0,0,5,3,0,8,10,0,5,5,5,5,3,0,3,8,3,8,8,8,0,0,5,0,10,0,5,0,5,0,0,8,8,10,0,5,5,5,8,0,8,0,8,0,0,0,8,0,8,5,0,0,0,8,5,0,5,0,5,0,8,0,8,0,0,8,0,8,8,8,0,3,5,5,0,0,8,5,8,8,0,8,8,5,5,5,10,10,10,8,5,5,5,5,0,0,0,0,0,5,5,5,5,10,0,8,0,3,3,8,5,3,2,0,5,5,5,5,0,5,8,0,0,0,0,5,0,5,8,8,8,
8,8,5,0,0,5,8,0,0,3,8,8,8,0,3,8,8,3,8,8,8,0,0,5,5,5,10,10,10,5,3,8,8,0,8,5,0,0,10,10,8,0,0,0,8,10,0,0,8,8,8,8,8,0,5,0,0,0,0,5,5,5,0,5,0,5,5,5,0,5,0,0,8,8,5,0,0,0,0,8,5,0,0,0,5,0,8,8,5,0,0,8,0,3,0,8,10,5,5,8,5,11,5,0,5,10,5,5,10,8,5,0,0,5,5,0,0,0,0,8,10,5,5,8,0,8,8,8,0,10,5,8,8,0,5,8,0,5,5,5,10,0,0,0,5,8,0,0,5,0,3,8,8,0,0,5,0,5,0,0,0,8,0,0,0,5,8,0,3,8,8,0,11,0,10,0,3,0,3,5,3,5,10,5,10,5,5,0,10,3,8,8,0,5,5,5,5,5,0,0,8,8,8,8,8,8,5,0,8,8,0,8,8,0,0,8,0,0,0,3,8,8,10,0,0,5,0,8,0,8,5,0,8,8,8,0,0,5,0,5,8,0,8,5,0,5,5,5,
0,0,10,0,5,5,8,0,8,8,8,0,8,5,0,0,0,0,0,5,5,5,8,5,8,8,0,0,0,0,0,0,8,0,8,10,0,5,5,10,0,0,8,0,8,10,0,0,3,8,8,8,3,5,5,5,5,0,5,5,5,5,3,8,5,10,5,5,0,0,0,0,0,0,0,5,5,0,5,0,0,0,0,0,0,5,8,8,0,8,3,8,8,3,5,8,0,0,5,0,5,0,8,0,5,5,5,0,0,0,0,8,0,5,10,0,0,0,0,3,10,5,10,8,0,0,3,3,8,10,5,5,0,0,10,0,5,5,5,0,0,0,0,8,10,0,5,0,10,0,6,3,0,5,5,0,0,0,0,8,0,8,0,5,0,10,3,0,8,0,5,0,0,5,0,0,0,5,0,0,0,8,5,8,5,5,0,5,5,0,0,5,8,0,5,0,0,0,5,0,0,0,0,8,8,8,0,8,8,8,0,0,0,0,0,0,8,5,8,5,8,5,2,10,5,10,5,0,5,8,0,8,8,0,8,5,0,5,5,5,3,0,0,5,0,10,0,5,
0,5,0,0,0,0,0,0,5,0,5,8,0,8,5,8,0,5,5,0,0,0,5,0,0,0,8,8,8,8,5,0,5,0,10,8,5,0,3,3,0,8,0,0,5,8,8,0,5,5,5,0,5,8,8,8,5,5,0,0,0,8,0,0,8,8,8,0,0,5,0,5,0,0,8,0,0,0,0,5,8,0,8,0,8,0,10,10,0,5,5,5,5,5,0,5,0,0,0,5,0,10,8,0,0,8,8,8,8,8,0,0,3,8,3,0,8,0,5,10,8,8,8,0,0,0,5,5,8,3,3,0,0,5,5,10,0,0,3,0,8,8,10,10,3,8,8,8,3,0,10,5,0,8,3,0,8,8,10,5,5,5,8,0,0,3,5,5,10,5,5,0,10,8,8,0,8,8,5,0,5,5,0,5,8,8,8,8,8,0,0,0,0,8,3,0,0,0,0,5,0,0,0,8,8,0,5,8,8,8,3,8,8,0,2,10,0,8,0,0,0,0,3,8,5,0,0,0,0,8,0,0,8,0,10,5,5,5,3,8,5,8,8,8,8,8,0,0,
8,5,0,5,0,5,5,10,8,0,0,0,8,5,5,0,0,5,5,0,0,5,0,8,8,8,8,8,8,0,5,5,0,0,0,0,0,5,0,0,0,8,5,8,5,3,0,0,5,5,5,0,5,8,0,0,5,5,5,8,0,8,0,8,8,0,0,5,0,10,0,5,8,8,3,0,0,0,0,10,8,8,0,8,8,0,5,0,8,5,5,10,5,2,0,10,8,0,8,5,8,10,0,5,5,8,0,3,8,3,8,3,0,0,8,0,5,0,8,5,8,0,0,8,0,8,10,0,5,0,5,5,2,5,3,5,0,8,8,8,8,8,0,0,3,0,0,0,3,5,2,10,5,5,0,5,5,0,0,5,8,0,8,0,0,8,10,5,10,5,5,0,10,8,3,8,5,8,5,8,5,0,3,0,3,0,8,0,3,5,10,5,5,0,8,8,0,8,0,0,5,5,5,0,0,8,0,8,5,0,0,0,5,0,8,0,0,8,0,0,5,8,3,8,5,0,5,8,5,3,0,8,5,0,5,8,0,8,8,3,10,0,0,8,0,8,8,8,
0,5,5,5,5,5,8,5,0,8,0,8,8,0,0,8,8,5,0,5,0,10,5,5,8,8,0,8,0,0,0,0,0,0,5,0,0,5,0,0,8,3,8,8,8,0,0,0,0,0,5,3,8,8,0,8,10,5,5,0,0,0,8,8,3,0,8,5,8,2,5,10,8,8,8,0,0,0,5,5,0,0,0,8,8,0,5,0,8,5,0,5,5,5,10,10,0,0,0,0,0,5,0,5,5,8,0,3,0,11,8,3,8,5,8,0,8,0,5,5,0,0,5,8,0,0,0,8,5,10,0,10,10,5,5,10,5,0,8,8,0,11,5,0,8,8,8,0,8,5,0,5,5,5,8,10,5,0,5,10,0,0,8,5,0,0,0,5,5,0,5,8,0,8,8,8,8,8,0,8,0,0,0,0,8,0,8,8,3,0,10,5,5,5,3,5,5,0,5,10,5,5,5,8,8,8,0,3,8,3,3,8,8,0,5,5,8,3,8,3,3,8,0,8,10,5,5,8,5,3,0,8,8,8,5,0,0,5,8,8,5,8,3,3,3,8,5,0,
8,3,8,8,8,0,0,0,0,0,0,0,0,0,8,0,0,3,8,8,8,8,0,0,10,10,5,10,5,5,8,0,0,5,0,0,0,8,5,0,0,5,0,0,8,5,0,0,5,8,8,5,10,0,8,0,3,8,3,0,0,8,2,10,0,8,5,0,5,0,8,8,5,5,10,5,5,0,3,3,5,5,5,5,10,0,8,0,5,8,5,11,8,3,8,3,5,5,5,8,0,3,5,8,0,5,0,5,5,0,5,5,5,5,5,0,0,0,0,8,5,0,0,0,0,0,8,0,8,0,8,8,3,0,0,0,3,8,0,5,5,10,8,5,5,0,0,0,5,0,8,8,8,8,0,0,0,5,8,0,5,0,10,3,0,0,8,3,8,0,8,0,3,0,10,0,0,5,8,5,8,0,5,0,5,0,5,0,10,8,8,8,0,5,5,5,5,5,8,0,8,8,8,5,5,0,5,10,0,5,5,0,0,0,8,8,0,0,0,8,8,0,5,0,8,0,0,0,0,5,0,5,0,8,3,8,8,8,5,5,0,5,0,5,5,0,5,5,
5,10,5,0,5,8,0,8,8,8,8,0,8,5,5,0,5,0,5,8,0,0,3,8,5,5,8,0,8,8,5,0,8,0,8,5,5,5,0,10,5,5,0,0,0,0,0,5,0,8,8,0,0,5,8,5,0,8,0,0,0,8,0,8,5,5,0,5,5,0,8,5,5,5,0,0,0,0,5,0,8,0,8,5,0,0,5,0,8,0,8,0,0,0,10,5,0,0,8,8,8,0,5,5,8,0,5,5,5,10,8,0,8,0,8,0,0,0,0,5,8,8,3,5,0,0,5,10,10,0,0,0,10,3,3,0,8,0,5,5,5,10,8,0,0,5,5,0,0,5,0,8,8,3,8,0,0,5,8,5,8,8,0,5,0,10,8,0,5,8,0,3,8,3,8,3,3,0,8,5,8,5,10,5,0,5,0,10,5,0,0,5,0,5,0,0,8,5,5,0,5,5,5,0,0,8,5,8,5,5,0,5,0,0,5,5,5,5,5,0,10,8,0,0,5,0,0,0,8,8,0,8,5,10,10,5,5,0,0,0,0,8,0,8,0,0,0,8,
8,8,8,0,8,5,5,10,0,10,0,10,10,0,5,10,5,5,0,0,0,8,5,0,8,8,8,8,8,8,5,0,8,8,0,8,8,0,0,8,0,8,8,0,0,8,0,8,0,0,5,0,0,0,8,8,0,0,8,0,8,0,0,0,8,3,8,3,8,8,5,8,0,0,8,10,10,0,8,5,0,0,0,5,0,5,0,5,0,8,0,8,8,0,8,8,0,8,0,0,0,8,0,8,10,5,5,8,5,11,0,3,5,8,0,0,0,0,0,0,5,0,5,3,0,8,0,8,3,0,5,5,5,10,5,5,5,5,0,0,5,3,5,0,0,0,8,0,0,8,0,5,0,0,0,8,8,8,5,8,5,0,0,8,0,8,0,0,8,0,8,10,0,10,5,10,0,0,8,0,8,0,0,0,8,3,8,8,8,0,0,0,0,0,5,5,0,10,8,0,0,0,0,5,5,10,3,5,8,8,0,0,10,5,3,0,0,8,0,3,8,8,0,8,0,0,5,0,10,0,8,0,8,3,3,3,3,8,0,3,8,8,8,0,0,8,5,0,
5,0,5,0,5,8,8,8,5,8,0,8,0,8,3,8,8,8,8,0,0,0,0,5,10,10,10,10,10,5,3,8,0,0,0,0,5,8,0,5,0,5,5,5,0,5,0,5,5,10,5,5,5,0,5,0,8,5,5,0,0,5,5,5,5,5,0,0,0,8,0,0,3,3,0,3,3,0,5,0,5,5,8,5,5,8,0,0,8,5,0,10,5,10,5,10,8,0,0,0,0,10,0,5,0,8,0,8,3,5,8,8,0,5,0,0,8,0,5,0,5,0,0,0,0,0,8,0,5,10,0,0,8,0,5,5,8,8,8,0,3,10,0,5,0,0,0,0,8,0,5,8,8,8,8,5,0,5,0,5,8,0,8,5,0,0,5,5,5,0,5,3,0,8,8,8,10,5,10,5,10,0,8,0,10,5,5,0,5,8,8,8,0,8,3,8,0,11,5,5,5,5,5,5,5,0,0,0,8,8,0,0,8,5,0,0,8,5,8,2,0,10,5,10,0,0,0,8,8,0,0,8,8,0,0,0,0,5,5,5,5,5,5,8,8,0,8,0,
5,5,10,0,5,0,3,3,5,8,0,8,0,8,8,8,8,0,8,5,0,5,0,5,5,5,5,5,5,10,8,5,5,0,0,0,8,0,0,0,5,10,10,0,0,0,8,0,5,5,0,5,5,8,5,0,8,0,0,8,0,0,5,5,0,5,8,0,8,0,5,5,3,3,8,3,3,0,10,5,5,0,5,3,8,8,8,3,5,10,0,2,10,0,0,5,0,0,0,0,5,0,8,0,0,0,8,0,8,0,5,5,8,0,0,0,8,0,5,0,0,0,5,0,0,5,8,8,8,0,8,8,3,0,0,0,3,3,8,0,8,10,8,5,0,0,0,8,8,0,10,8,5,5,5,0,5,0,8,0,3,0,8,10,0,5,5,5,8,8,0,8,0,0,0,0,0,8,5,8,5,0,8,0,5,5,5,0,0,0,0,0,0,0,8,0,0,3,5,0,8,8,8,0,0,0,10,5,8,8,8,0,8,0,5,0,8,0,8,5,8,5,5,5,5,5,8,0,8,8,5,0,8,0,0,5,0,10,0,5,0,5,5,0,8,5,0,0,
8,8,8,8,8,0,5,0,8,0,0,0,8,5,5,0,5,0,5,0,5,0,8,8,3,3,8,3,8,8,5,0,5,5,0,5,0,0,0,8,8,8,8,0,5,0,5,0,8,0,8,0,8,0,5,5,5,0,5,0,5,0,3,8,5,0,10,5,10,0,3,8,10,10,5,5,5,0,3,8,8,8,5,8,0,5,8,0,5,0,10,3,0,8,8,8,5,10,5,0,0,0,5,0,8,5,0,10,5,10,5,10,0,5,0,0,0,0,0,0,8,0,0,5,0,5,0,0,5,0,8,5,5,8,0,8,10,10,10,0,5,8,0,3,0,0,5,5,10,0,3,5,5,5,0,5,5,0,0,5,5,0,5,3,0,8,0,8,5,5,0,8,8,3,5,8,8,8,8,8,8,0,0,0,8,0,8,5,0,5,5,5,0,5,5,5,5,10,8,0,8,8,8,3,3,8,0,8,5,10,5,0,0,8,5,0,5,5,5,0,5,0,0,0,8,0,0,5,0,5,0,5,5,5,0,5,5,8,0,5,0,0,8,5,5,0,5,5,
0,0,8,8,8,8,5,0,3,8,3,5,8,10,5,5,10,0,5,3,0,0,3,8,0,0,8,3,8,3,5,8,8,0,8,5,0,5,5,5,8,8,3,0,0,0,5,5,0,8,8,8,8,0,8,0,5,8,0,0,0,8,8,8,0,8,0,5,10,5,3,5,10,10,5,5,5,0,8,8,8,8,0,0,0,5,0,0,0,8,0,3,8,8,0,8,5,0,0,8,8,8,0,8,8,0,0,5,5,5,0,5,0,0,0,0,5,0,8,0,3,3,3,5,0,5,5,10,10,0,5,8,10,11,8,3,5,5,5,0,5,8,0,8,8,0,0,5,5,5,8,5,0,3,8,3,8,8,0,0,0,3,0,8,0,5,8,0,5,0,0,0,0,8,0,8,8,0,8,0,8,0,5,0,8,0,3,10,0,8,10,10,8,0,0,0,8,10,0,0,0,0,0,8,8,8,0,8,5,10,0,5,0,0,5,5,0,0,0,8,5,3,5,0,0,8,0,0,0,0,8,0,5,5,5,0,0,8,0,0,0,8,0,0,5,0,0,0,
0,5,5,8,5,8,8,3,0,3,8,8,8,0,0,8,5,8,0,8,0,0,3,8,0,0,0,8,0,8,0,8,0,5,8,5,0,0,5,5,8,0,8,0,0,0,10,5,0,0,8,0,8,0,5,5,0,8,5,8,0,0,8,8,5,0,5,5,10,0,3,0,5,5,5,0,0,0,8,8,0,0,5,0,5,0,8,8,0,0,5,8,0,0,0,0,0,5,0,8,8,0,5,0,8,0,0,5,0,10,0,5,3,0,8,0,8,0,5,5,8,8,8,5,0,5,0,5,2,10,5,5,10,3,3,3,5,0,10,8,0,0,3,11,0,5,5,10,10,5,8,5,0,8,0,0,5,5,3,5,8,8,5,8,0,5,0,8,5,0,0,3,8,3,0,3,3,8,0,0,0,5,5,5,0,5,0,10,5,0,5,5,0,5,0,0,0,0,0,0,0,0,0,3,3,8,5,3,0,5,0,0,8,0,10,5,0,5,0,5,5,0,5,5,5,5,0,0,3,8,5,0,0,5,5,5,5,0,0,5,5,5,5,0,5,0,0,0,
5,0,0,5,5,0,0,5,0,5,5,0,0,0,0,0,8,0,0,5,0,0,5,5,5,5,0,10,0,0,0,0,8,0,5,0,10,0,8,5,5,0,5,0,0,0,8,0,5,10,10,5,10,0,0,0,0,10,5,0,0,0,5,0,0,5,0,0,8,0,5,0,8,8,8,8,8,0,5,5,0,10,3,2,5,0,10,10,3,0,8,10,0,2,5,10,8,8,0,0,0,5,0,5,0,8,5,8,0,0,3,3,5,5,5,0,0,0,0,8,10,5,0,0,0,8,8,0,8,0,8,5,8,5,10,2,8,0,8,5,0,5,5,10,0,0,0,8,3,0,5,8,3,8,8,5,8,5,5,0,0,5,8,5,0,8,5,5,0,0,5,0,0,5,8,0,5,5,0,10,0,5,0,5,5,0,5,8,5,0,3,8,0,0,0,0,0,0,5,5,10,10,10,10,10,0,8,0,0,8,0,0,0,0,8,0,0,0,0,0,8,5,0,0,0,0,5,0,5,5,8,8,0,0,0,0,0,0,5,0,8,8,8,8,8,0,0,0,
0,8,8,0,0,0,0,5,5,8,0,8,0,8,0,8,0,0,8,5,0,5,0,0,0,0,0,0,0,8,0,8,0,5,0,0,8,0,5,0,0,0,8,8,3,0,5,0,5,8,0,0,5,0,8,0,8,8,8,8,8,8,10,0,5,5,0,0,0,8,0,0,8,8,8,8,8,0,5,5,5,5,10,0,5,0,8,8,5,5,0,10,5,0,8,0,8,0,0,8,8,0,5,0,0,5,0,5,0,5,5,5,3,3,8,0,0,0,0,5,0,0,8,0,0,8,5,5,8,3,0,3,8,0,5,8,5,10,0,5,0,0,10,5,5,5,0,5,5,5,8,0,8,8,8,8,3,8,10,8,0,0,3,5,0,8,5,10,0,0,0,8,8,0,0,8,3,8,0,5,0,10,5,10,8,0,0,0,8,5,10,5,5,10,0,5,5,0,0,5,8,8,8,3,3,0,5,8,5,5,5,5,5,0,11,8,5,5,5,5,10,0,8,0,0,0,5,0,5,5,8,0,5,8,3,3,3,3,10,0,5,5,0,8,0,8,5,0,
0,5,10,0,5,5,8,0,0,5,0,5,5,0,8,5,0,5,5,5,5,5,0,5,5,5,5,5,5,5,8,0,0,0,5,5,5,5,8,0,0,8,8,0,0,5,8,0,8,0,0,8,8,0,0,0,10,5,5,5,5,0,3,8,0,8,0,8,0,8,0,8,0,0,5,8,8,0,8,8,8,0,8,0,8,5,5,5,0,0,5,0,0,5,8,0,0,0,5,5,5,10,3,0,8,0,0,5,5,5,0,5,10,0,0,0,5,0,8,0,8,0,8,5,0,0,5,5,10,0,5,8,0,8,11,3,8,8,5,0,5,5,3,8,0,8,0,8,0,0,3,8,0,0,5,0,5,5,3,0,8,0,5,8,0,0,5,8,5,5,10,0,10,0,8,0,5,0,8,0,8,0,8,0,0,0,8,0,0,0,0,5,8,8,8,0,0,0,5,5,0,0,0,10,10,5,8,10,3,3,3,8,8,0,2,10,5,0,5,8,5,8,8,8,10,10,5,0,5,3,0,8,3,0,5,10,5,10,8,0,8,8,8,0,8,5,0,5,
5,5,8,5,0,8,5,0,0,8,0,8,8,0,0,8,0,5,0,0,0,0,0,8,5,5,0,5,0,0,0,0,0,8,8,8,8,0,0,0,0,0,5,0,5,3,5,0,0,5,5,0,8,0,5,0,0,0,5,8,8,5,8,8,0,0,5,5,5,5,8,0,5,5,5,10,10,0,8,8,0,8,0,8,8,8,0,8,5,8,0,11,8,11,0,3,8,8,3,0,8,0,5,5,5,5,0,0,0,8,5,0,8,5,5,0,8,0,5,8,10,0,5,8,0,0,3,8,11,0,3,0,3,5,2,10,8,0,8,5,0,5,5,10,8,5,0,5,8,0,2,10,8,8,8,0,8,0,5,0,10,0,5,8,0,0,3,8,0,8,8,0,0,0,8,0,8,5,0,5,0,0,10,0,8,0,0,0,3,5,5,0,5,0,0,8,8,8,0,8,8,8,8,8,8,8,10,0,10,5,5,5,5,0,3,8,8,0,8,0,3,5,10,5,8,3,8,0,8,5,0,0,10,5,5,8,0,8,0,8,5,0,5,8,0,8,8,3,
5,0,3,0,8,8,5,8,0,3,0,3,3,0,8,3,5,0,0,8,8,3,0,8,0,0,5,0,5,5,8,0,8,8,8,8,8,0,0,0,5,5,5,0,5,3,0,8,0,0,0,5,0,0,0,0,8,8,8,8,8,0,0,0,0,5,5,10,5,10,8,5,8,8,0,5,5,0,0,0,0,0,0,5,0,0,0,0,8,8,8,8,8,0,5,0,8,0,8,5,0,5,0,0,10,5,10,8,5,3,8,11,8,5,5,0,0,0,0,8,5,0,10,3,0,0,8,3,8,10,5,5,0,10,10,10,0,5,0,5,5,0,5,5,0,5,0,0,0,8,10,5,5,5,0,0,0,8,5,0,5,0,0,0,0,0,8,0,0,0,8,0,5,0,0,5,3,8,8,8,8,0,5,0,0,8,5,0,5,0,3,8,5,0,0,0,0,8,8,8,5,5,5,8,8,3,5,3,10,10,5,5,5,8,8,8,0,0,0,8,8,0,5,0,3,3,3,10,8,2,0,10,10,5,0,0,0,8,0,0,5,5,5,0,0,8,0,8,
3,8,5,8,8,5,0,5,0,5,8,10,10,0,5,10,8,3,0,8,8,0,0,0,3,3,8,8,8,0,5,5,10,10,10,0,10,8,8,8,8,0,0,0,0,5,0,5,5,0,8,0,5,8,0,0,0,0,0,0,5,8,5,5,0,0,8,3,3,3,10,8,5,5,0,8,8,0,5,0,0,5,0,0,5,8,5,5,8,0,8,5,0,5,5,5,10,5,5,8,0,3,0,8,3,3,8,0,8,10,8,5,0,8,8,0,8,0,5,5,8,5,0,10,0,5,0,0,10,0,0,0,5,11,0,8,5,0,0,8,8,8,0,8,8,8,0,0,0,5,0,0,5,10,5,5,5,0,0,0,8,8,8,5,0,5,0,5,0,0,0,0,8,8,5,8,5,0,5,8,5,8,8,8,5,5,5,0,10,8,8,8,8,0,0,0,0,5,0,0,5,5,5,5,5,10,3,0,8,0,0,0,0,5,0,0,8,0,8,5,0,0,5,5,5,5,5,3,5,11,0,8,8,8,8,8,8,0,0,0,0,0,0,5,5,5,0,5,
0,8,5,8,0,0,8,0,0,0,8,5,5,0,5,5,8,8,8,5,0,5,0,5,8,8,8,0,8,0,5,5,10,10,10,0,5,8,8,8,8,0,3,0,3,10,5,5,0,8,8,8,8,0,0,0,0,8,0,0,0,0,0,0,0,0,0,8,8,8,5,8,0,0,8,8,8,0,0,5,5,10,5,0,5,8,0,0,0,5,5,10,5,10,8,5,5,0,5,3,0,3,0,8,8,8,8,0,8,5,0,5,8,3,3,0,0,0,0,10,8,5,8,5,0,8,10,5,5,3,0,3,5,3,8,8,0,0,8,0,8,0,5,5,5,0,0,5,10,5,11,8,0,5,0,5,0,0,5,0,8,8,3,0,0,8,10,10,8,8,0,8,3,0,5,8,0,8,5,0,5,5,8,5,5,5,5,0,5,0,0,0,8,5,0,5,0,5,5,5,0,0,0,0,0,5,0,0,8,0,0,5,0,5,8,0,0,0,0,5,10,8,8,0,5,5,5,8,5,8,8,8,8,8,3,8,3,0,10,5,8,0,0,0,0,5,5,5,
0,8,8,8,8,8,0,0,8,8,3,5,0,5,5,5,8,8,8,0,8,0,5,0,3,3,8,0,8,0,5,5,2,10,2,3,5,3,3,11,8,0,8,0,8,0,5,5,10,0,0,0,5,8,8,8,8,8,8,8,8,8,10,5,5,10,5,0,8,8,5,8,0,0,8,0,0,0,5,5,5,10,5,0,5,3,5,5,0,0,8,5,0,0,0,0,5,0,0,3,8,3,5,8,0,0,0,0,8,5,0,0,8,8,0,0,0,0,0,0,5,10,5,0,0,8,0,8,0,0,5,8,5,3,5,8,5,5,0,0,8,0,5,0,8,0,8,5,0,5,5,5,0,10,5,5,0,0,5,8,8,3,3,5,0,5,0,10,0,8,8,8,3,8,5,8,0,0,5,0,5,0,0,0,0,0,5,8,0,0,0,8,0,5,8,5,0,5,0,5,0,0,0,8,8,0,0,8,0,5,0,5,0,5,8,0,8,5,8,10,5,0,10,10,0,8,0,8,0,0,8,0,0,8,8,3,3,8,5,0,5,0,0,8,0,8,5,0,
0,5,0,5,5,0,5,5,5,0,5,8,0,8,8,8,5,10,5,5,10,5,8,8,10,10,5,5,5,8,8,3,8,8,3,5,8,5,5,5,5,0,5,0,5,8,0,0,0,5,5,5,5,5,0,5,0,5,5,0,0,0,0,8,8,8,8,0,0,5,0,5,0,0,5,0,0,0,0,8,8,3,0,8,8,5,8,8,10,5,5,8,5,11,0,8,3,8,8,5,8,10,0,5,0,5,8,5,5,8,10,10,0,5,0,0,8,0,5,0,5,8,8,0,0,0,8,5,8,0,3,0,3,5,5,0,0,0,0,0,5,8,0,0,0,5,5,0,8,0,5,0,3,11,3,0,8,5,0,5,5,5,5,0,0,0,8,8,5,5,5,5,10,5,3,0,8,5,8,10,8,5,10,5,3,0,3,5,11,10,2,10,0,8,5,3,8,8,0,8,3,3,3,8,8,0,5,5,5,0,5,0,5,0,8,0,0,8,0,3,3,0,0,8,0,0,5,0,0,0,0,8,5,5,5,0,5,8,0,8,0,0,5,0,5,0,3,8,
0,10,0,5,5,10,5,10,10,8,5,3,0,3,3,3,8,8,8,8,8,0,5,5,3,3,3,8,3,0,10,10,5,0,5,8,0,8,0,8,8,0,5,0,0,5,8,8,10,5,5,8,0,8,8,3,0,0,0,0,8,0,5,5,5,5,5,0,0,8,0,8,8,8,5,8,8,0,0,8,5,0,0,8,0,8,0,0,5,0,0,0,0,8,8,8,8,0,0,5,0,10,0,5,0,5,10,5,10,5,8,8,5,5,0,0,0,0,0,0,0,8,8,0,0,0,0,5,3,3,8,5,0,5,5,10,0,3,8,3,3,8,8,8,0,3,8,8,0,8,0,0,5,0,0,0,5,0,8,5,0,8,8,0,0,0,0,5,5,5,5,0,5,0,8,0,5,5,10,5,10,0,0,0,5,0,0,8,0,3,0,8,5,10,10,0,0,0,0,8,8,8,8,0,0,0,0,5,0,0,10,0,0,5,8,8,0,8,0,11,8,3,5,8,10,10,10,2,2,0,8,0,0,5,0,0,5,0,5,5,0,5,5,0,5,0,0,8,
0,0,0,0,8,8,0,8,8,0,8,5,0,5,5,5,0,5,8,7,10,10,0,2,10,10,5,5,5,0,8,8,8,0,8,0,0,0,5,0,0,8,3,0,8,0,5,5,8,0,0,5,5,0,5,5,0,5,0,0,5,0,0,0,0,8,0,0,5,0,8,0,5,5,0,5,5,0,5,0,8,8,0,5,5,5,0,5,8,5,0,2,5,2,0,10,5,0,8,0,0,8,0,0,0,0,8,0,8,0,5,5,0,5,5,0,8,0,5,8,8,5,0,0,0,8,10,0,0,10,0,0,8,8,10,8,5,5,5,0,5,8,0,8,0,5,0,5,0,5,8,0,8,0,0,5,0,5,0,0,10,5,10,8,0,0,3,3,0,8,8,0,0,8,0,0,8,3,8,8,8,5,8,5,5,0,0,0,5,5,0,10,0,8,8,8,8,8,0,8,5,5,5,5,5,0,0,0,5,5,0,5,5,0,0,0,5,0,5,5,10,0,11,8,8,3,3,3,3,8,5,0,5,5,5,0,0,0,8,8,5,0,5,0,0,0,8,8,
5,8,0,0,5,8,3,8,0,5,0,5,5,0,5,5,0,0,10,11,3,8,0,11,0,0,5,0,5,5,8,0,0,5,5,5,0,5,0,0,0,0,5,8,5,8,8,8,0,8,0,8,0,0,8,0,5,0,0,0,0,8,0,8,5,5,5,5,5,0,8,0,0,0,8,8,8,0,0,5,0,5,5,0,0,5,0,0,5,8,8,3,8,11,0,3,8,8,0,8,0,0,5,0,8,8,0,0,8,10,8,0,0,0,8,0,5,0,8,5,10,0,5,8,0,0,3,8,5,0,2,8,5,5,3,8,0,0,0,0,5,8,0,0,8,8,0,8,0,0,5,5,5,5,0,5,5,0,0,5,8,0,8,0,0,8,10,5,8,8,8,8,3,5,5,5,8,5,8,5,8,0,10,0,3,0,0,0,8,0,0,8,8,0,0,0,0,0,5,5,8,8,8,0,0,5,0,5,8,0,5,5,5,5,0,5,3,8,3,0,11,5,10,5,0,0,0,8,8,5,0,0,8,5,8,5,0,0,10,5,8,0,0,0,0,5,0,5,
5,0,5,0,5,0,8,8,5,5,5,0,5,8,0,0,0,0,10,11,8,8,8,11,0,0,0,5,0,5,0,5,5,10,5,5,5,8,0,8,0,0,5,0,5,0,0,0,5,0,8,0,0,0,8,0,0,8,0,0,0,8,0,0,8,0,5,5,0,10,0,0,8,8,8,3,3,0,5,5,0,5,5,5,10,5,8,5,0,0,8,8,0,3,10,0,8,8,0,0,5,0,0,0,8,8,8,0,0,0,0,5,0,8,0,0,10,0,3,0,5,8,5,8,0,5,3,8,5,0,5,5,10,10,3,0,5,5,5,0,0,0,0,8,0,0,5,0,0,0,0,0,0,8,0,3,8,8,0,8,8,8,8,8,0,8,10,5,3,8,8,0,8,10,5,10,0,5,0,0,0,8,5,8,8,5,0,5,8,0,0,8,0,5,0,5,5,0,5,5,0,0,0,5,5,5,0,5,8,3,3,8,8,8,0,0,8,5,8,5,8,5,2,10,0,5,0,5,0,5,0,0,8,3,8,0,8,5,0,0,8,0,8,0,8,5,5,5,
8,0,8,8,8,0,10,5,0,8,8,0,0,0,8,0,0,8,8,5,5,0,0,5,8,8,8,3,8,3,5,8,0,3,8,0,0,5,8,10,0,5,0,5,0,5,0,5,3,0,0,0,8,5,10,5,0,5,5,5,5,10,8,0,8,0,3,0,8,5,5,10,5,5,10,5,5,0,3,3,0,8,3,3,11,3,5,3,0,0,10,8,0,5,8,0,0,0,0,0,8,0,0,8,0,0,0,0,5,8,0,0,0,0,5,0,0,0,0,8,0,5,0,0,0,8,5,0,8,0,3,0,0,8,5,10,3,8,8,5,8,2,0,10,0,0,0,0,0,0,0,8,0,5,5,0,0,0,0,8,0,5,0,10,0,5,8,0,5,5,0,5,5,0,0,0,5,0,5,0,5,0,8,0,5,0,0,0,5,0,0,0,0,0,0,0,0,5,8,0,0,0,0,8,8,0,8,8,0,0,8,8,8,0,0,0,10,5,10,0,10,0,3,8,0,0,5,5,5,0,8,0,0,3,0,3,8,8,8,8,5,0,0,0,5,8,0,0,
0,10,0,0,0,5,10,10,0,3,8,8,8,0,3,8,8,8,3,5,0,0,5,10,8,8,3,3,3,8,10,5,0,8,8,8,8,8,5,0,8,5,0,5,0,5,0,0,8,0,5,0,0,5,5,0,8,5,0,5,0,10,5,5,0,8,8,8,0,8,0,0,8,8,5,0,0,0,0,8,5,8,0,8,0,8,8,8,5,5,5,5,5,0,8,0,0,0,0,0,8,5,8,0,5,5,10,0,10,8,8,3,0,0,0,0,8,0,5,0,0,5,8,5,0,8,5,5,0,0,8,5,5,3,5,5,0,8,8,8,3,0,0,0,0,8,8,0,5,8,0,0,5,10,5,5,5,0,0,0,5,5,5,0,0,0,8,8,10,5,10,0,10,8,3,3,10,5,10,5,10,0,8,0,10,0,5,8,5,8,8,8,0,0,0,0,8,5,0,0,8,8,8,8,8,8,5,0,0,0,0,0,8,5,0,0,10,0,10,3,5,8,3,3,10,5,10,10,2,8,3,8,0,0,5,8,0,0,0,0,0,8,0,8,0,8,0,8,
0,5,8,0,0,5,10,10,5,0,0,0,5,8,3,0,8,3,8,8,8,0,0,0,3,3,3,3,3,8,10,5,5,0,0,0,0,0,0,5,8,5,5,0,0,5,0,0,0,0,0,8,8,0,5,0,0,0,5,0,0,5,0,0,0,5,0,5,0,5,0,5,0,0,10,8,8,0,8,3,5,0,0,3,8,3,0,3,5,0,5,8,0,8,8,8,3,8,8,0,8,5,5,0,8,0,5,5,10,5,8,0,8,0,0,0,0,0,0,0,5,0,0,8,0,8,0,0,8,0,0,10,10,5,8,10,8,8,3,0,3,5,5,10,0,8,0,0,5,0,0,0,5,5,0,0,0,8,5,0,8,0,0,5,0,5,0,0,0,0,8,0,0,5,0,5,2,10,10,5,10,8,8,8,5,5,5,0,5,8,0,8,8,8,0,0,0,10,0,5,8,8,8,8,8,5,0,0,8,8,0,8,8,5,0,0,5,0,5,3,0,8,0,8,5,5,10,2,2,5,3,0,8,8,0,8,0,0,0,0,8,3,3,0,0,0,0,5,
0,8,0,0,0,0,3,8,0,0,0,0,0,0,5,0,0,5,5,8,8,0,5,8,5,5,5,5,5,0,8,8,8,0,5,0,0,5,0,0,0,3,8,8,8,8,0,0,0,8,0,8,0,8,8,8,5,0,8,0,0,8,0,0,10,5,5,0,5,3,8,8,0,0,8,0,0,0,0,5,0,5,0,5,0,5,5,5,8,3,3,8,3,0,0,8,5,5,5,0,5,0,0,0,0,5,0,5,8,10,5,5,5,5,8,0,0,0,0,5,0,0,5,0,0,5,8,8,8,3,5,11,3,0,0,3,0,8,0,8,5,3,8,8,8,0,8,0,3,5,5,5,8,8,8,10,5,10,8,10,0,0,8,0,0,8,5,5,0,0,0,8,8,8,5,0,3,8,8,8,8,0,5,0,3,8,8,8,3,0,5,0,0,5,5,0,0,8,0,8,5,5,5,5,5,0,8,0,0,10,2,10,10,5,0,0,3,3,3,8,11,0,5,0,0,0,8,8,8,0,5,5,0,2,8,10,5,0,10,10,0,10,10,5,5,5,0,0,
3,3,3,8,8,0,5,5,0,0,0,0,0,0,0,0,5,8,0,8,0,8,0,8,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,8,5,5,5,0,0,0,8,0,5,0,0,5,10,0,8,0,5,0,5,0,0,5,3,8,0,3,3,0,3,0,10,10,0,0,0,0,0,0,0,0,0,0,8,8,3,8,5,8,0,0,0,0,0,0,0,0,0,5,5,0,8,0,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,3,0,0,0,0,0,0,0,5,5,0,8,5,0,0,10,0,3,10,0,0,3,6,3,6,6,3,0,3,8,3,0,8,0,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,8,0,0,0,8,0,8,8,10,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,5,0,8,0,0,8,0,8,0,5,5,5,0,10,0,0,5,5,0,5,10,8,0,5,
5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,8,8,5,0,0,10,8,0,0,0,0,0,0,0,0,0,5,10,5,10,10,5,0,5,5,5,0,5,0,8,0,8,0,0,8,8,0,8,5,5,3,8,3,0,3,5,5,5,0,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,5,0,0,5,0,0,8,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,10,0,0,0,0,8,8,5,0,0,10,8,0,0,0,3,0,10,3,0,0,10,7,10,7,7,10,0,10,5,5,10,0,5,8,8,3,0,0,0,0,0,0,0,0,0,3,0,8,8,0,8,8,8,0,0,8,0,0,5,0,0,0,0,0,0,0,0,0,8,8,0,0,5,5,8,0,0,0,0,0,0,0,0,0,5,5,5,8,5,3,0,8,5,5,5,5,5,0,0,5,0,0,0,8,8,3,5,8,
5,5,10,8,0,8,0,8,5,5,0,5,0,8,0,8,0,5,8,0,8,0,5,5,5,8,0,8,0,8,0,8,0,8,5,3,8,0,8,8,3,3,3,8,8,0,5,5,3,0,0,5,8,10,5,5,5,0,0,8,0,3,5,0,3,3,0,3,3,0,10,10,8,5,5,5,5,10,0,5,8,8,0,0,5,5,8,0,0,5,5,0,8,0,5,8,0,0,0,5,5,0,8,5,0,8,5,8,0,0,0,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,10,5,5,8,0,3,0,3,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,5,0,8,8,8,8,5,0,0,0,0,0,0,0,0,0,0,5,0,5,5,5,0,0,8,8,0,0,8,5,8,0,0,10,0,5,5,0,5,5,0,5,0,10,0,5,5,5,5,0,8,0,0,8,0,5,8,0,0,5,0,10,5,10,0,3,8,8,0,8,8,8,0,0,8,0,8,5,0,0,
5,5,5,0,0,0,8,0,8,8,0,8,0,5,0,5,5,5,0,0,5,8,8,0,8,5,0,5,0,5,0,5,5,8,0,8,0,8,3,8,8,0,8,5,5,5,5,10,8,8,5,8,8,0,0,8,0,0,5,0,5,8,0,0,3,6,3,3,6,0,0,0,5,8,8,8,8,3,0,8,0,0,5,0,5,5,0,0,0,5,5,0,8,0,5,8,0,5,0,5,5,5,0,10,0,8,5,8,0,0,0,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,5,0,8,8,8,8,5,0,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,0,0,8,5,0,5,5,5,0,0,0,0,0,0,0,0,8,0,0,8,0,0,5,0,0,0,8,5,0,5,8,5,0,10,0,5,5,0,5,5,0,0,3,5,8,0,5,5,5,0,8,0,0,8,0,5,3,0,0,5,8,10,5,5,0,0,8,0,5,8,0,0,8,0,0,5,0,10,8,0,
3,8,8,5,0,10,0,10,5,5,0,5,0,8,0,8,5,0,0,0,5,3,0,8,5,8,0,8,0,8,0,8,8,8,3,0,8,8,5,0,5,5,10,0,5,5,8,0,10,0,5,0,5,8,3,3,5,5,10,5,10,5,3,8,10,7,10,10,7,0,0,0,8,5,5,5,5,10,0,5,0,5,0,8,8,8,10,0,0,8,8,0,5,0,8,5,5,5,5,8,8,0,0,8,0,5,8,5,0,0,0,0,3,8,8,0,8,10,5,5,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,0,5,8,5,0,0,0,0,8,0,3,5,0,0,5,10,0,0,8,0,5,8,0,0,5,10,5,10,10,5,0,5,3,8,8,5,0,10,0,10,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,5,10,5,0,5,5,8,0,0,0,3,0,8,8,0,8,8,5,0,0,3,8,3,0,8,8,0,5,0,0,5,0,8,0,8,8,0,8,0,8,8,8,5,0,0,8,5,5,0,0,0,5,5,10,5,8,5,
11,3,3,5,0,10,5,10,0,0,0,0,0,0,0,0,0,8,0,0,0,8,5,8,0,0,0,0,0,0,0,0,3,0,3,5,8,0,2,5,10,5,2,8,0,0,3,3,2,5,0,5,10,8,3,8,5,5,5,5,5,10,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,8,3,3,10,0,0,0,0,0,0,0,0,0,5,0,5,3,3,8,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,8,0,0,0,5,8,5,0,0,0,0,0,0,0,0,5,5,0,5,0,8,0,5,10,5,5,0,5,3,5,8,0,0,0,0,0,0,0,0,5,0,10,11,0,3,8,3,0,0,0,0,0,0,0,0,10,8,8,8,0,3,3,3,8,5,5,0,3,10,5,0,5,0,5,0,10,8,0,5,
3,8,8,5,0,10,0,10,5,5,0,5,0,8,0,8,5,0,0,0,5,3,0,8,5,8,0,8,0,8,0,8,8,8,3,0,8,8,5,0,5,5,10,0,5,5,8,0,10,0,5,0,5,8,3,3,5,5,10,5,10,5,3,8,10,0,10,3,0,0,0,0,8,5,5,5,5,10,0,5,0,5,0,8,8,8,10,0,0,5,5,0,8,0,5,8,5,5,5,8,8,0,0,8,0,8,5,8,0,0,0,0,3,8,8,0,8,10,5,5,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,8,0,3,5,0,0,5,10,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,3,8,8,5,0,10,0,10,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,5,10,5,0,5,5,8,0,0,0,10,0,5,5,0,5,5,5,0,0,3,8,3,0,8,8,0,5,0,0,5,0,8,0,8,8,0,8,0,8,8,8,5,0,0,8,5,5,0,0,0,5,5,10,5,8,5,
10,5,5,8,0,3,0,3,5,5,0,5,0,8,0,8,8,0,0,0,8,10,0,5,5,8,0,8,0,8,0,8,5,5,10,0,5,5,8,0,8,8,3,0,8,8,5,0,3,0,8,0,8,5,10,10,8,8,3,8,3,8,10,5,3,0,3,10,0,0,7,7,8,5,5,5,5,10,0,5,0,8,0,5,5,5,3,0,0,8,8,0,5,0,8,5,8,8,8,5,5,0,0,5,0,5,8,5,0,0,0,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,5,0,10,8,0,0,8,3,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,10,5,5,8,0,3,0,3,0,0,0,0,0,0,0,0,0,8,0,0,0,5,8,8,3,8,0,8,8,5,0,0,0,3,0,8,8,0,8,8,8,0,0,10,5,10,0,5,5,0,8,0,0,8,0,5,0,5,5,0,5,0,5,5,5,8,0,0,5,8,8,0,0,0,8,8,3,8,5,8,
0,8,5,8,0,0,3,3,8,8,0,8,0,8,0,8,8,8,0,3,8,8,5,0,8,8,3,5,0,5,0,5,8,5,0,5,0,5,0,5,8,0,0,0,8,0,10,5,0,8,0,8,8,5,0,0,5,5,0,0,5,8,8,0,0,0,0,0,0,0,0,0,5,8,5,8,5,0,3,8,0,3,8,3,8,8,0,0,0,8,8,0,8,0,5,5,0,5,8,5,0,0,0,0,0,8,8,8,0,0,0,0,0,8,5,3,8,0,8,8,5,0,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,8,0,3,0,8,8,8,10,0,5,0,5,8,3,3,5,0,8,0,0,8,0,8,0,0,5,0,8,5,0,0,0,10,10,3,3,0,10,0,8,0,0,5,0,10,5,10,5,5,5,0,0,0,8,3,0,0,0,5,5,0,8,8,5,0,0,0,5,0,0,5,5,10,5,0,0,8,0,8,0,8,5,0,5,0,8,8,8,8,3,0,8,5,5,10,8,8,8,8,8,0,0,5,
0,10,0,5,5,0,5,5,5,5,0,5,0,5,0,5,5,10,5,10,10,5,0,5,8,8,3,5,0,5,0,5,5,0,8,8,8,8,5,0,5,5,0,8,0,8,0,8,0,0,8,5,0,8,5,5,0,5,0,10,0,5,5,5,0,0,0,0,0,0,0,0,8,5,8,5,8,0,10,5,8,5,8,10,0,10,5,10,0,5,5,0,5,0,8,8,8,8,0,3,8,8,5,0,0,5,5,5,0,0,0,0,0,5,8,10,5,0,5,5,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,8,8,8,0,3,0,5,0,3,0,8,0,8,5,10,10,8,0,5,0,0,5,0,5,5,5,0,5,10,8,0,5,0,0,10,10,10,10,6,3,5,5,10,0,5,8,8,3,0,5,0,0,0,8,5,5,0,0,0,5,5,0,8,8,3,8,8,8,3,0,10,0,8,3,8,0,0,5,0,5,8,0,8,0,0,5,0,5,10,5,5,8,0,3,0,3,0,8,8,5,0,0,0,0,
0,8,0,0,0,8,8,8,0,0,0,0,0,0,0,0,3,3,3,8,8,0,5,5,10,10,7,3,0,3,0,3,8,0,0,5,0,10,8,0,3,0,0,5,8,10,5,5,0,0,0,8,8,0,5,8,5,0,0,8,0,3,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,8,5,3,8,8,0,0,0,0,0,0,0,0,8,0,0,5,0,10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,8,0,3,0,5,0,0,3,6,0,0,3,10,10,3,8,8,5,0,10,0,10,0,5,5,5,0,10,0,0,0,0,0,3,3,0,10,10,5,5,0,5,10,8,0,5,0,0,0,0,0,0,0,0,5,5,5,10,10,0,8,0,8,8,0,8,0,5,0,5,5,5,5,0,0,0,8,0,
0,3,0,8,8,0,8,8,5,5,0,5,0,5,0,5,8,3,8,3,3,8,0,8,5,5,10,8,0,8,0,8,8,0,5,5,5,5,8,0,8,8,0,5,0,5,0,5,0,0,5,8,0,5,8,8,0,8,0,3,0,8,8,8,0,0,0,0,0,0,0,0,8,5,8,5,8,0,10,5,5,8,5,3,0,3,8,3,0,8,8,0,8,0,5,5,5,5,0,10,5,5,8,0,0,5,5,5,0,0,0,0,0,8,5,3,8,0,8,8,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,0,5,5,5,0,10,0,8,0,10,0,5,0,5,8,3,3,8,0,5,0,0,5,0,5,8,8,0,8,3,5,0,8,0,0,3,10,10,10,0,10,8,8,3,0,8,5,5,10,0,8,0,0,0,5,8,8,0,0,0,8,8,0,5,5,10,5,5,5,10,0,3,0,8,3,8,0,0,5,0,5,5,0,5,0,0,8,0,8,3,8,8,5,0,10,0,10,0,5,5,8,0,0,0,0,
5,0,0,0,5,0,0,5,8,8,0,8,0,8,0,8,5,5,5,0,0,0,8,3,8,8,3,5,0,5,0,5,5,0,5,0,0,8,0,8,5,0,5,0,10,8,3,8,8,8,8,0,0,0,8,0,8,0,5,8,8,5,5,0,0,0,0,0,0,0,0,0,5,8,5,8,5,0,3,8,8,0,0,5,0,0,5,0,0,5,5,0,5,0,8,8,0,8,8,0,8,0,5,5,0,8,8,8,0,0,0,0,0,5,8,10,5,0,5,5,5,0,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,5,5,0,10,5,5,8,0,3,0,8,0,8,5,10,10,5,0,8,0,0,8,0,8,8,0,0,8,0,0,5,0,0,0,10,3,3,3,0,3,10,0,0,8,5,3,8,8,0,3,8,3,8,8,0,0,0,0,0,5,5,0,8,8,5,5,5,0,0,0,8,3,5,10,5,0,0,8,0,8,8,8,3,8,3,8,10,5,8,0,0,5,0,0,5,0,8,5,0,5,0,5,10,5,
0,0,5,8,0,5,8,8,8,8,0,8,0,8,0,8,5,5,10,8,0,8,0,8,8,8,3,5,0,5,0,5,0,5,0,0,0,8,5,5,5,0,0,8,0,3,5,0,0,8,0,0,0,5,8,5,0,5,0,5,5,5,0,10,0,0,0,0,0,0,0,0,5,8,5,8,5,0,3,8,3,3,8,8,3,5,5,5,0,5,5,0,5,0,8,8,5,5,8,0,0,3,5,0,0,8,8,8,0,0,0,0,0,5,8,10,5,0,5,5,5,0,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,3,8,8,0,8,8,8,3,0,8,0,8,5,10,10,5,0,8,0,0,8,0,8,5,5,10,0,5,5,8,0,0,0,10,3,3,3,0,3,5,5,5,0,0,0,5,0,5,0,0,8,0,3,8,3,0,0,0,5,5,0,8,8,0,8,0,8,8,5,0,0,5,10,5,0,0,8,0,8,8,3,0,3,8,0,0,8,0,0,3,5,8,0,5,5,3,3,3,8,8,0,5,5,
5,8,5,8,5,0,3,8,3,3,0,3,0,3,0,3,0,0,5,3,8,8,0,3,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,0,5,0,5,8,0,0,8,3,8,8,8,5,8,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,8,8,8,8,5,0,0,0,0,0,0,0,0,0,0,0,3,5,8,0,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,8,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,8,0,5,8,8,5,5,0,0,3,0,6,6,3,10,3,5,0,0,0,5,0,0,5,5,8,0,3,8,8,8,3,0,0,0,0,0,0,0,0,10,5,5,0,5,0,8,8,10,7,10,0,0,3,0,3,8,3,8,8,8,8,5,0,3,8,3,5,8,5,10,10,3,0,8,0,8,5,10,10,
8,0,8,5,8,8,5,0,0,0,0,0,0,0,0,0,3,3,11,5,0,5,5,2,0,0,0,0,0,0,0,0,8,8,8,0,0,10,8,0,3,0,8,5,3,2,5,5,5,10,5,0,0,8,10,8,5,8,8,0,0,3,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,10,5,0,10,8,3,8,0,0,0,0,0,0,0,0,8,0,10,0,5,10,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,5,8,8,0,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,5,8,8,0,0,0,0,0,0,0,0,0,0,11,8,8,5,8,10,0,5,8,10,5,2,5,2,5,10,0,0,0,0,0,0,0,0,8,0,8,5,5,8,5,10,0,0,0,0,0,0,0,0,10,2,10,2,2,5,3,0,5,0,10,3,5,0,3,8,2,5,10,0,5,8,11,3,
0,5,0,5,0,10,0,5,8,0,8,5,0,5,5,5,8,0,8,0,8,5,5,5,0,0,5,8,5,0,8,8,0,5,5,8,0,8,5,8,8,3,8,8,3,0,5,0,10,0,0,8,0,3,8,3,0,8,8,8,8,8,5,5,3,8,3,0,8,10,5,10,5,5,0,5,5,0,8,0,5,5,5,5,10,0,0,5,5,5,10,8,5,8,0,0,0,5,0,5,5,5,0,5,0,3,8,3,8,3,8,8,0,8,5,0,5,0,8,8,5,5,0,0,0,8,0,0,10,10,0,0,5,8,0,5,8,5,5,10,5,2,0,5,0,0,8,5,8,5,0,5,5,10,10,8,0,8,0,3,0,5,0,5,0,0,0,0,0,0,0,8,0,8,0,0,8,0,8,5,8,5,5,5,0,0,0,8,8,8,5,0,0,0,5,0,0,0,0,8,8,8,8,8,8,0,0,0,0,5,2,5,5,5,0,8,5,10,5,2,10,10,8,5,5,5,0,10,10,0,0,5,0,2,0,10,10,5,5,10,8,0,0,5,0,5,0,0,
0,0,0,8,0,0,5,0,8,0,0,0,8,5,5,0,0,8,5,3,0,8,8,3,5,5,5,5,5,5,8,0,5,0,0,5,5,0,8,5,0,5,5,5,5,5,0,5,8,0,8,0,8,5,5,5,0,0,5,5,5,5,8,0,10,0,5,8,5,11,8,3,0,0,8,5,5,0,5,5,0,0,8,8,8,8,0,8,0,0,8,10,0,5,8,0,8,8,0,0,0,0,0,8,5,5,5,0,8,5,0,8,0,5,8,0,3,0,10,5,8,0,8,5,0,0,5,5,0,0,5,8,3,8,5,3,5,0,0,8,5,11,0,8,0,0,5,0,0,0,0,8,0,0,8,10,5,5,0,10,5,0,5,8,0,0,8,8,8,0,8,5,0,10,5,10,8,8,8,0,8,5,0,5,0,5,0,5,0,0,0,8,0,5,0,5,5,5,0,5,0,0,0,0,0,8,5,0,8,3,11,3,3,8,0,0,8,3,8,8,8,8,8,8,0,5,5,10,5,5,8,0,8,6,8,3,3,0,8,8,0,0,8,0,0,0,5,5,
0,5,0,5,0,0,5,5,5,0,0,0,5,8,0,0,0,0,3,2,5,5,0,2,0,0,0,0,0,8,0,8,0,0,8,8,8,8,5,8,0,5,0,0,0,0,0,8,5,5,5,5,5,0,0,0,8,0,0,8,8,0,5,0,0,5,0,5,0,5,0,5,0,0,0,8,8,0,8,0,0,8,5,0,5,0,8,0,8,3,8,11,3,8,5,8,0,0,8,0,8,0,0,5,8,0,8,5,0,5,5,10,5,0,0,0,10,0,3,0,5,0,10,8,0,5,3,3,8,3,0,3,0,5,8,0,8,8,0,0,0,5,8,0,5,0,0,0,10,8,8,0,8,8,0,0,0,5,8,0,8,0,3,5,0,8,10,10,5,0,5,0,5,8,3,3,8,0,0,8,0,8,5,8,10,0,5,0,10,0,8,5,0,3,8,8,8,0,0,0,5,5,5,5,5,5,3,0,5,0,0,0,0,0,0,0,8,0,8,0,3,5,10,5,0,8,0,8,0,8,0,8,5,5,10,0,5,0,8,8,0,3,8,8,8,8,8,8,
8,8,0,0,8,0,0,0,10,0,0,0,10,3,8,0,5,5,8,10,5,0,0,5,8,8,8,8,8,0,5,5,8,8,8,8,8,0,0,0,5,0,8,0,8,8,5,0,0,0,0,5,0,0,0,0,8,8,8,8,8,0,0,0,0,5,5,10,5,10,8,5,0,0,5,3,3,0,0,8,0,0,0,5,0,0,0,0,5,0,0,8,0,3,0,8,10,10,5,0,0,8,8,0,3,8,0,5,5,10,8,5,5,5,5,0,10,0,3,8,10,0,5,3,0,8,8,8,8,0,5,5,10,10,0,10,0,8,0,8,8,0,8,8,5,10,0,5,0,0,0,0,5,5,5,0,5,0,8,0,0,0,8,0,0,8,5,5,5,5,10,0,5,3,8,11,0,5,5,5,5,0,5,0,0,8,0,0,0,5,0,5,0,3,8,0,0,0,8,0,8,8,8,5,5,10,8,10,5,5,0,0,0,8,5,0,0,0,0,8,8,0,5,0,8,8,8,3,8,8,5,0,5,5,5,5,5,0,8,0,0,8,8,0,8,8,0,0,
0,0,0,0,5,0,8,0,8,5,0,5,0,5,0,5,0,0,5,3,8,8,5,8,5,5,0,5,0,0,0,0,0,8,5,0,0,5,8,0,0,0,5,0,5,0,3,8,0,0,5,8,0,0,8,8,5,5,0,5,0,0,0,0,8,8,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0,8,8,3,0,5,0,8,5,0,10,5,10,5,10,0,0,5,0,0,5,0,0,0,0,8,0,0,8,5,5,3,8,0,0,8,0,5,0,8,0,0,0,0,0,5,0,5,10,0,10,5,0,8,8,5,10,0,5,0,0,10,5,8,3,8,3,8,8,5,0,8,8,8,8,3,8,10,8,0,0,10,8,0,5,8,3,5,5,5,0,0,0,0,0,10,0,0,8,0,8,3,8,8,8,8,8,8,8,0,8,5,2,10,0,0,8,0,8,5,5,5,0,0,0,5,8,0,5,10,5,5,5,8,0,5,5,5,5,10,0,8,0,5,5,5,0,0,0,0,0,0,5,8,0,0,8,10,5,5,2,2,0,10,0,0,8,
0,0,0,5,5,5,8,0,3,8,3,5,8,10,0,5,0,0,5,3,8,0,0,8,5,5,0,8,0,8,0,8,5,5,10,0,5,0,8,8,0,8,5,8,0,0,8,8,2,5,0,8,0,3,3,3,5,8,0,8,8,3,0,0,8,3,3,8,0,0,0,5,0,0,0,5,5,0,0,0,0,5,0,0,0,0,5,5,0,5,5,5,5,5,0,5,8,0,0,5,5,5,5,5,5,0,0,8,0,3,0,8,8,8,0,0,8,0,5,0,0,10,0,5,0,8,5,0,10,10,0,0,5,11,0,8,0,5,0,5,0,5,5,5,0,8,0,8,8,0,0,0,0,10,5,5,0,0,5,8,5,10,10,0,0,0,8,3,8,0,8,0,8,5,5,10,5,0,0,0,0,0,8,0,8,0,8,0,8,8,5,0,5,10,10,0,5,8,0,8,0,0,0,8,8,8,5,8,0,0,10,0,5,0,8,8,10,5,10,5,10,5,11,8,0,5,0,5,0,5,5,5,0,5,8,5,5,0,5,5,0,10,5,5,5,5,0,0,
8,0,8,5,0,5,0,5,8,0,8,5,0,5,0,5,0,0,8,5,0,5,5,10,5,5,0,0,0,0,0,0,0,8,5,8,0,5,8,0,0,8,0,8,8,0,8,8,10,5,5,8,0,3,8,3,5,0,0,8,8,8,0,0,3,3,8,0,0,10,0,5,8,8,8,8,8,0,5,5,0,0,8,8,3,8,10,0,0,5,0,0,5,8,10,5,0,5,0,5,0,5,5,5,0,8,8,8,0,3,0,0,8,3,0,0,5,0,8,0,5,5,5,0,0,0,8,8,2,10,5,5,2,8,3,8,5,10,5,5,0,5,5,0,0,8,8,8,8,0,0,0,0,5,5,8,8,8,5,3,0,5,5,8,0,8,5,8,5,5,0,0,0,8,0,0,5,5,0,0,0,8,0,8,0,8,8,8,0,8,5,5,5,5,10,8,0,8,8,3,0,0,0,0,0,0,5,0,5,10,7,5,10,5,8,8,5,10,5,10,5,10,0,5,0,0,0,0,0,0,5,5,5,2,0,5,10,8,5,5,5,10,10,5,10,0,8,8,
5,10,5,0,0,0,5,0,0,5,5,0,0,0,5,0,8,0,8,10,5,5,0,10,8,8,5,0,5,0,8,8,0,5,8,0,0,3,10,8,8,0,8,5,0,5,5,5,8,0,0,5,5,5,5,5,8,5,0,5,5,5,5,5,5,10,0,0,8,8,5,0,5,5,0,5,5,0,3,0,0,8,5,5,2,5,3,5,0,3,0,11,3,8,8,3,0,8,8,0,0,0,8,0,0,0,0,0,8,5,0,0,0,0,8,0,0,0,0,5,0,8,0,0,0,5,8,0,8,3,0,3,3,5,8,0,3,8,8,5,5,5,0,10,0,0,0,5,5,0,8,0,0,8,8,0,0,0,0,5,3,8,3,10,0,5,5,10,0,8,0,0,5,0,8,0,8,0,8,0,8,0,5,0,10,5,5,0,5,0,8,0,0,0,8,0,8,0,5,0,0,0,0,8,8,0,8,8,0,8,3,0,8,0,0,0,3,8,3,0,3,0,10,5,5,0,0,5,5,8,8,8,0,8,5,8,8,5,8,8,0,8,0,8,8,0,0,8,
0,8,8,0,8,0,5,5,0,0,0,0,0,0,0,0,0,5,5,0,5,0,5,5,0,0,0,0,0,0,0,0,0,5,8,0,8,0,5,5,0,8,0,5,5,5,3,0,0,5,5,0,5,0,8,8,8,3,0,3,8,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,3,0,8,5,5,10,0,3,3,0,3,0,10,10,8,0,8,8,8,8,5,0,0,0,0,0,0,0,0,0,0,10,3,7,10,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,5,10,10,5,0,5,7,0,10,0,10,3,6,6,0,0,0,0,0,0,0,0,5,5,5,5,5,0,0,5,0,3,0,0,0,3,3,3,0,5,10,5,5,5,0,0,5,10,5,0,0,8,0,8,0,0,0,0,0,0,0,0,5,5,5,5,5,0,3,8,0,0,0,0,0,0,0,0,5,5,0,0,8,8,5,0,8,0,5,5,5,5,8,0,8,3,3,0,8,0,0,5,
0,0,0,0,0,0,0,0,3,3,0,10,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,3,3,10,0,0,0,0,0,6,0,12,6,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,3,3,3,6,0,7,0,0,0,0,0,0,0,0,0,6,0,3,0,3,10,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,5,8,5,0,0,0,0,5,5,0,8,0,8,0,8,5,0,8,5,5,8,8,0,0,0,0,0,0,0,0,0,8,8,5,8,8,0,0,8,8,8,0,3,8,8,5,0,5,0,5,0,0,8,0,8,5,5,5,10,10,0,8,0,3,8,8,0,8,0,5,5,5,5,5,5,5,0,0,5,8,8,0,8,0,8,0,8,0,8,8,0,8,0,5,5,0,8,8,5,0,0,0,0,0,5,5,8,0,0,0,0,10,10,0,7,10,0,3,0,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,5,0,0,8,0,3,8,3,10,0,5,0,5,8,3,3,8,0,8,0,0,5,0,5,0,0,5,3,8,8,0,3,0,8,0,0,0,8,8,8,8,0,8,8,8,8,5,0,8,0,8,5,5,5,5,10,0,0,3,5,8,0,5,5,0,0,5,0,5,5,0,0,8,0,5,0,0,5,0,8,0,5,5,0,5,0,8,8,0,8,8,0,8,0,5,5,5,5,10,0,5,8,8,3,
0,5,0,0,0,8,5,8,5,5,0,8,0,8,0,8,0,0,3,5,8,0,5,5,0,0,0,0,0,0,0,0,0,8,0,0,0,8,8,8,0,5,5,0,5,0,5,5,0,5,0,10,0,5,5,5,10,5,0,5,5,8,0,0,10,5,5,0,5,0,8,8,5,5,5,5,5,0,0,5,0,0,5,8,0,8,5,8,0,8,8,0,8,0,5,5,0,0,8,5,0,5,5,5,0,5,5,8,0,0,0,0,3,0,3,7,0,7,0,10,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,0,8,3,8,8,8,0,0,10,0,5,0,5,8,3,3,8,0,8,0,0,5,0,5,8,0,5,0,0,5,0,8,0,8,0,0,0,8,8,8,0,5,8,5,0,0,0,0,3,8,0,0,0,5,5,5,0,0,3,5,8,0,5,5,0,8,8,8,0,0,0,0,5,0,8,0,0,8,0,5,5,5,5,0,10,0,8,0,0,5,8,5,0,0,10,10,10,5,5,8,0,3,0,3,
0,8,0,0,0,5,8,5,5,5,0,8,0,8,0,8,0,0,10,8,5,0,8,8,0,0,0,0,0,0,0,0,0,5,0,0,0,5,5,5,0,8,8,0,8,0,8,8,0,8,0,3,0,8,8,8,3,8,0,8,8,5,0,0,10,5,5,0,5,0,8,8,8,8,8,8,8,0,0,8,0,0,8,5,0,5,8,5,0,5,5,0,5,0,8,8,0,0,5,8,0,8,8,8,0,5,5,8,0,0,0,0,3,0,10,0,0,7,0,10,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,0,5,10,5,5,5,0,0,3,0,8,0,8,5,10,10,5,0,5,0,0,8,0,8,5,0,8,0,0,8,0,5,0,5,0,0,0,5,5,5,0,8,5,8,0,0,0,0,10,5,0,0,0,8,8,8,0,0,10,8,5,0,8,8,0,5,5,5,0,0,0,0,5,0,8,0,0,8,0,5,8,8,8,0,3,0,5,0,0,8,5,8,0,0,3,3,3,8,8,5,0,10,0,10,
8,8,0,0,8,5,5,10,0,0,0,0,0,0,0,0,8,0,10,0,5,10,0,5,0,0,0,0,0,0,0,0,5,2,0,10,5,5,5,10,5,0,0,10,5,0,3,8,0,5,0,8,5,8,0,0,11,11,3,3,11,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,5,8,5,0,10,0,0,0,0,0,0,0,0,0,5,0,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,10,10,2,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,5,5,2,0,0,0,0,0,0,0,0,0,8,10,0,0,5,8,8,10,10,5,5,0,8,8,8,0,0,0,0,0,0,0,0,10,10,5,5,0,8,8,8,0,0,0,0,0,0,0,0,0,0,8,5,3,5,5,5,3,8,0,0,0,5,8,8,8,3,3,5,0,10,8,10,
8,0,8,5,8,5,5,10,5,5,0,8,0,8,0,8,0,0,5,5,10,5,8,5,0,0,0,0,0,0,0,0,0,10,5,5,0,5,5,5,0,8,0,0,0,8,8,8,5,5,5,8,5,3,0,8,3,3,8,0,8,5,0,0,10,5,5,0,5,0,8,8,8,8,8,8,8,0,0,8,8,3,3,0,8,0,0,5,0,8,8,0,8,0,5,5,0,0,8,0,8,8,0,0,0,5,5,8,0,0,0,0,3,10,0,7,10,7,10,7,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,5,5,10,5,10,5,3,8,10,0,5,0,5,8,3,3,5,0,5,0,0,8,0,8,0,0,0,8,8,0,5,5,0,8,0,0,0,8,8,8,8,8,5,8,8,0,0,8,5,10,0,10,5,0,0,5,0,0,10,8,5,0,8,8,10,10,10,5,5,0,8,8,5,0,8,0,0,8,0,5,0,5,0,5,8,5,0,0,3,3,8,0,8,5,0,0,0,8,0,5,5,5,3,0,
5,0,0,0,5,0,3,8,8,8,0,5,0,5,0,5,5,0,0,8,0,3,8,3,0,0,0,0,0,0,0,0,8,3,0,3,8,0,0,8,8,8,8,3,3,0,5,0,0,3,0,8,8,0,8,8,5,10,10,5,10,0,8,0,3,8,8,0,8,0,5,5,5,5,5,5,5,0,0,5,0,5,5,0,5,0,8,8,0,8,8,0,8,0,5,5,0,8,5,0,5,0,8,8,0,8,8,5,0,0,0,0,10,0,3,0,0,6,0,3,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,3,8,8,8,3,0,10,0,0,0,0,8,8,3,5,8,10,0,5,0,5,8,3,3,8,0,8,0,0,5,0,5,5,0,0,8,0,3,8,3,0,8,0,0,0,8,8,8,0,0,8,8,0,8,5,5,0,8,8,8,0,0,0,0,0,0,3,5,8,0,5,5,3,8,0,0,0,5,5,5,8,0,5,0,0,5,0,8,8,8,0,8,0,8,0,8,10,0,5,8,0,8,8,8,8,5,5,0,0,0,5,0,
3,8,3,0,8,5,5,5,5,8,8,0,5,8,8,0,5,5,10,0,10,0,3,8,8,8,5,0,5,5,8,0,5,0,5,8,5,8,0,0,0,0,0,3,8,8,5,8,0,0,5,5,5,0,8,8,8,0,3,0,8,0,5,5,8,8,0,5,5,10,8,5,5,5,0,10,10,0,8,0,5,0,8,8,0,3,5,0,5,0,8,0,0,3,0,8,10,0,0,8,0,8,8,8,8,0,8,5,8,10,5,10,5,0,8,0,0,0,0,5,5,5,0,8,0,3,5,0,0,0,3,10,0,0,10,10,8,0,5,5,5,10,8,0,5,5,5,5,10,5,8,5,8,3,8,3,3,8,5,8,8,5,0,5,0,0,5,0,5,8,0,8,0,3,0,8,10,0,5,8,5,8,3,8,0,5,8,10,0,5,0,5,0,8,0,3,8,8,5,0,5,5,5,0,0,8,5,8,8,8,8,0,0,8,0,0,8,8,8,3,3,8,10,0,8,0,0,5,0,5,5,10,8,8,3,5,8,5,5,5,0,8,0,8,0,0,3,8,
2,2,2,10,10,0,3,8,8,0,0,0,8,5,5,0,5,8,0,8,5,3,8,8,5,5,8,5,8,0,5,5,8,0,0,0,8,5,0,8,0,0,0,0,8,0,0,0,0,0,0,3,8,8,5,0,10,5,10,0,5,0,8,8,8,0,3,8,3,0,10,5,8,8,0,3,3,0,10,0,8,0,5,5,0,10,0,5,8,3,0,3,3,5,8,8,8,0,0,0,8,5,5,0,5,5,10,0,5,0,8,3,0,5,0,0,0,0,0,0,8,0,0,5,0,5,0,0,8,0,8,8,8,5,0,5,10,5,5,8,8,8,0,3,0,0,8,0,8,0,5,0,5,5,5,8,0,8,0,8,5,0,5,3,0,8,0,8,5,5,0,0,0,0,0,0,8,0,8,5,8,5,5,5,5,0,0,5,5,0,8,8,0,0,5,5,5,5,3,8,8,8,8,8,8,5,8,0,0,0,0,8,8,0,0,0,8,8,8,0,8,0,0,0,10,0,8,8,0,3,0,3,0,8,0,8,0,8,0,0,0,5,0,10,5,0,5,5,
8,8,8,8,0,8,5,0,5,0,0,0,5,8,0,0,3,0,8,0,11,10,2,10,0,0,0,0,0,8,0,8,5,0,0,5,5,0,8,0,0,5,0,0,0,0,10,5,0,5,5,10,5,10,8,0,3,0,8,5,8,5,5,5,10,5,10,5,10,8,3,8,0,0,0,5,5,0,8,0,8,8,8,8,8,0,0,0,8,5,0,5,5,5,10,10,0,8,0,0,0,0,8,0,8,3,8,8,0,8,8,0,5,8,5,0,5,0,8,8,0,0,5,8,0,0,0,8,8,3,0,3,3,8,5,3,8,3,8,8,0,8,8,0,5,10,10,10,10,5,8,0,5,5,8,10,5,0,5,10,8,0,0,5,0,5,0,0,0,0,5,5,5,5,8,0,5,5,0,5,0,0,0,0,8,8,0,11,8,3,5,0,0,0,8,5,5,0,0,0,8,8,8,8,8,8,10,0,0,0,5,5,5,5,8,0,5,10,5,10,10,5,0,5,8,0,5,0,8,5,0,0,0,5,0,0,0,0,5,0,0,0,8,5,8,5,5,5,
8,8,8,3,8,8,5,0,10,0,10,3,0,3,8,3,8,5,0,5,8,5,10,5,5,5,5,8,5,8,8,3,0,8,8,0,0,8,5,5,0,5,8,0,0,8,10,5,5,5,0,5,5,0,8,0,0,0,0,0,0,8,0,0,5,5,10,0,0,8,0,3,5,5,0,5,5,0,8,0,5,8,8,8,0,8,8,8,0,5,0,5,5,0,5,5,8,5,0,2,10,5,5,2,0,8,8,8,8,8,0,0,5,0,5,0,5,0,8,8,8,3,8,0,0,5,0,5,0,0,5,8,5,3,5,8,8,8,0,0,5,0,8,0,0,10,5,10,10,5,0,5,0,10,0,2,5,5,5,5,3,3,8,5,0,10,0,5,3,5,0,10,0,10,0,10,10,5,5,0,5,8,8,8,8,8,0,3,8,0,0,0,8,8,3,0,8,0,5,5,0,0,0,0,0,0,5,0,0,5,0,10,5,5,0,5,10,5,10,0,5,5,3,8,0,0,5,0,0,0,8,0,0,5,0,0,8,0,5,0,0,8,0,8,8,0,0,0,
8,8,0,0,8,5,0,0,3,0,8,5,8,10,5,5,0,0,8,0,0,0,0,0,3,3,8,8,8,5,5,10,8,0,0,0,0,5,8,0,0,0,5,5,5,5,3,8,8,8,3,8,8,8,10,5,5,0,5,0,10,0,8,0,0,8,8,8,0,8,0,0,0,0,5,8,8,0,0,8,8,5,0,10,0,5,5,5,10,5,5,0,5,3,8,8,5,0,0,8,0,8,8,3,5,10,0,5,5,8,10,5,8,0,0,0,0,0,0,0,5,5,8,5,0,8,0,5,5,10,10,10,5,10,8,5,0,0,8,0,8,0,5,5,0,3,8,3,8,3,0,8,3,11,8,8,8,5,8,0,5,5,0,0,0,8,0,0,0,8,8,8,0,8,5,0,3,3,8,3,8,0,0,0,0,0,0,0,8,0,5,0,5,5,5,8,8,0,5,5,10,10,10,10,10,5,3,0,0,0,0,8,8,8,5,8,8,0,8,5,0,0,5,5,8,0,8,0,0,0,5,5,0,0,0,5,5,5,8,5,0,8,0,11,0,3,8,3,
3,3,3,0,8,5,0,5,8,0,8,5,0,5,5,5,5,0,5,0,2,8,11,8,3,3,8,8,8,0,5,5,8,0,5,0,0,10,8,0,8,8,0,8,8,0,0,8,0,8,0,8,0,8,0,8,0,0,8,0,0,0,5,5,3,3,8,0,0,10,0,5,0,0,5,0,0,0,8,8,8,5,0,5,8,5,10,5,5,0,8,5,0,8,8,8,5,0,0,8,0,0,8,8,0,10,5,10,5,10,5,5,0,5,8,0,8,0,5,5,5,5,0,0,0,8,0,0,10,10,0,10,5,5,0,5,8,0,0,5,8,2,0,5,0,8,8,0,0,0,0,5,8,3,0,11,3,8,0,3,0,5,0,5,0,0,0,0,5,8,0,3,0,3,0,8,8,8,8,8,8,0,0,0,10,10,0,2,5,5,8,0,0,0,5,8,8,0,5,0,5,5,5,5,5,0,0,0,0,8,8,8,8,8,0,8,3,3,3,8,3,8,5,0,8,0,0,0,0,5,5,10,0,8,0,0,0,5,8,0,8,8,0,8,0,0,8,8,
6,11,11,8,3,5,10,10,8,8,8,0,8,5,0,0,0,5,0,0,0,0,0,0,3,3,0,8,0,0,0,0,0,8,0,8,0,0,8,0,0,0,0,0,0,0,0,8,0,0,8,0,5,8,5,5,5,5,5,0,10,8,0,0,0,3,0,8,5,8,8,8,10,10,10,5,5,0,3,3,0,0,8,0,8,8,5,0,5,5,8,5,5,3,5,0,5,8,8,8,0,8,8,8,5,5,0,0,0,8,5,0,0,0,0,0,5,0,8,0,0,5,8,5,0,8,5,5,0,10,5,2,5,10,5,5,3,8,8,5,0,10,0,10,5,0,0,0,5,8,8,0,8,3,8,8,8,0,0,0,8,5,8,10,0,0,5,5,0,3,8,8,0,8,0,0,0,8,0,8,0,0,8,0,0,0,0,0,8,0,0,0,5,0,0,8,8,8,5,0,5,5,5,10,10,5,0,5,8,8,8,0,8,8,5,0,8,0,8,0,8,0,10,5,3,0,5,0,0,5,5,10,8,0,8,10,0,10,5,10,0,8,0,3,8,8,8,3,
10,10,5,5,5,8,0,8,5,5,0,5,10,8,0,5,8,8,0,8,3,5,5,0,5,5,0,5,0,0,0,0,5,5,0,5,5,0,0,0,0,0,0,0,0,5,0,5,0,5,10,10,0,10,8,8,11,8,3,0,11,10,5,5,5,10,5,10,5,5,8,5,8,8,8,5,5,0,5,5,8,8,0,8,0,0,0,0,8,8,0,3,8,0,5,0,0,0,0,0,8,0,0,0,3,3,8,0,0,5,8,5,0,3,8,0,0,0,0,5,0,0,5,3,0,8,5,8,8,3,3,3,11,3,5,8,5,0,0,8,0,3,0,8,0,0,5,0,0,5,8,8,5,5,0,5,5,0,0,5,0,0,0,8,0,8,5,0,5,5,5,5,5,0,8,8,0,0,0,5,0,5,0,5,8,0,0,8,0,8,5,0,0,0,0,0,5,0,8,8,8,8,8,3,3,3,5,8,3,8,0,0,0,5,0,5,0,5,0,5,0,5,5,5,0,8,8,0,8,0,0,8,3,8,3,0,8,0,10,5,5,5,0,10,5,5,0,5,
8,5,0,10,5,5,5,10,8,8,3,8,3,8,10,5,8,8,5,8,8,0,0,8,8,5,0,5,0,5,10,5,3,3,3,8,8,0,5,5,0,0,8,5,0,8,5,5,0,5,10,5,5,5,0,0,5,8,0,0,5,8,8,0,3,8,8,0,8,0,5,5,5,8,5,8,5,0,3,8,0,5,5,8,0,0,0,0,0,8,5,0,5,0,8,8,8,0,5,0,0,5,0,5,0,8,8,8,0,0,0,0,3,8,8,0,8,10,5,5,6,3,3,3,6,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,5,8,5,0,3,8,0,0,5,0,5,8,0,0,5,0,5,0,10,8,3,8,0,8,3,0,0,8,5,5,0,8,0,0,0,5,8,8,0,8,8,0,8,0,5,5,8,8,8,3,3,0,5,0,3,0,0,5,8,10,5,5,5,0,5,8,5,8,8,3,8,0,5,0,0,5,0,8,0,0,8,5,0,5,8,5,8,0,0,0,8,0,10,5,8,5,8,5,8,0,10,5,
5,0,0,3,8,3,0,8,0,0,0,0,0,0,0,0,5,0,0,8,0,0,8,0,10,3,0,3,0,3,6,3,10,5,10,8,5,8,3,3,5,0,10,8,0,0,8,3,10,5,0,0,0,8,8,8,0,5,0,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,5,8,8,0,10,3,0,3,0,10,10,5,8,0,3,8,8,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,8,5,0,5,5,5,0,0,0,0,0,0,0,0,3,0,3,0,6,10,7,10,8,5,0,5,0,5,0,5,0,0,0,0,0,0,0,0,0,0,5,8,0,5,8,8,10,5,10,0,10,8,8,8,0,0,0,0,0,0,0,0,8,5,8,10,0,10,5,10,0,0,0,0,0,0,0,0,8,5,0,5,0,5,10,5,5,0,0,5,10,0,8,0,0,8,5,8,0,0,0,0,
8,0,0,10,5,10,0,5,0,0,0,0,0,0,0,0,8,0,0,5,0,0,5,0,0,0,0,0,0,0,0,0,3,8,3,5,8,5,10,10,8,0,3,5,0,0,5,10,3,8,0,0,0,5,5,5,0,8,0,8,8,8,0,0,0,0,0,0,0,0,0,0,3,10,3,10,3,0,7,10,0,5,0,0,0,8,5,5,0,0,0,0,0,0,0,0,8,5,0,10,5,5,5,10,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,5,8,0,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,0,8,0,8,0,8,0,10,0,0,0,3,10,10,0,0,8,5,0,8,5,5,3,8,3,0,3,5,5,5,0,0,0,0,0,0,0,0,5,8,5,3,0,3,8,3,0,0,0,0,0,0,0,0,5,8,0,8,0,8,3,8,8,0,0,8,3,0,5,0,0,5,8,5,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,0,10,0,10,7,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,3,10,3,0,7,10,0,0,0,0,0,0,0,0,0,3,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,7,3,6,3,0,0,0,0,0,0,0,0,0,10,0,0,0,3,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,10,10,7,10,7,10,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,10,3,10,0,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,7,7,7,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,10,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,3,10,6,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,5,8,5,8,0,10,5,0,0,0,0,0,0,0,0,0,0,5,3,8,8,0,3,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,0,0,0,5,0,5,8,0,0,5,10,5,5,5,8,5,0,0,8,8,5,0,0,0,0,0,0,0,0,0,0,0,0,10,3,10,3,10,0,6,3,5,10,5,5,5,5,8,0,0,0,0,0,0,0,0,0,0,0,10,8,5,0,8,8,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,8,5,5,8,8,0,0,3,0,0,0,10,3,3,5,0,0,0,5,0,0,5,5,8,0,3,8,8,8,3,0,0,0,0,0,0,0,0,10,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,5,10,5,5,5,5,8,0,3,8,3,5,8,5,10,10,3,0,8,0,8,5,10,10,
3,0,0,5,8,10,5,5,5,5,10,5,10,5,3,8,8,0,5,0,0,5,0,8,8,5,0,5,0,5,10,5,8,3,3,8,3,0,5,0,0,5,0,5,5,8,0,0,8,0,0,5,0,0,5,0,5,0,5,0,0,8,0,8,3,8,8,0,8,0,5,5,5,8,5,8,5,0,3,8,0,10,0,5,5,0,5,5,0,8,5,0,5,0,8,8,5,10,10,5,10,0,8,0,0,8,8,8,0,0,0,0,3,8,8,0,8,10,5,5,3,10,0,10,0,7,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,0,0,5,3,8,0,0,8,0,8,5,0,0,5,0,5,0,10,8,3,8,5,8,8,0,0,0,8,0,0,8,0,0,0,5,8,8,5,8,0,0,5,8,8,0,8,8,8,8,8,0,0,8,10,0,0,8,5,3,8,8,5,8,5,8,5,0,3,8,8,0,5,0,0,5,0,8,5,0,5,0,0,5,3,8,8,0,8,5,8,5,5,10,8,0,8,8,8,8,5,0,
5,0,0,5,10,0,8,0,8,8,3,8,3,8,10,5,0,0,8,5,0,8,5,5,5,8,0,8,0,8,3,8,8,5,0,10,5,5,5,10,8,8,3,0,8,5,5,10,8,8,0,8,0,5,0,5,8,8,8,8,8,0,0,5,3,8,8,0,8,0,5,5,8,5,8,5,8,0,10,5,0,8,0,8,8,8,0,0,0,5,8,0,8,0,5,5,3,8,3,5,8,5,10,10,0,5,5,5,0,0,0,0,3,8,8,0,8,10,5,5,0,3,3,3,6,3,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,8,0,3,5,0,0,0,5,0,5,8,0,0,8,0,8,0,3,5,10,5,0,0,5,8,0,8,5,8,0,5,0,0,0,8,5,5,8,5,8,5,8,0,10,5,8,0,8,5,8,5,5,10,3,0,0,5,8,10,5,5,0,0,0,8,8,3,5,8,8,0,5,0,0,5,0,8,0,8,8,8,0,3,0,0,0,0,5,3,8,8,0,3,5,5,0,10,5,5,8,0,
0,5,5,0,5,0,8,8,10,10,0,10,0,10,0,10,0,8,8,0,8,0,8,8,0,0,0,0,0,0,0,0,0,8,5,0,5,0,8,8,0,8,0,5,5,5,3,0,0,5,5,0,5,0,8,8,8,3,0,3,8,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,10,0,5,8,8,3,0,0,0,0,0,0,0,0,8,0,8,8,8,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,5,5,5,5,5,0,0,5,0,10,0,7,7,10,3,10,0,8,3,8,8,8,0,0,5,10,5,0,0,8,0,8,0,0,0,0,0,0,0,0,8,8,8,8,8,0,10,5,10,7,10,0,0,3,0,3,8,8,0,0,5,5,8,0,5,0,8,8,8,8,5,0,8,3,3,0,8,0,0,5,
0,0,0,0,0,0,0,0,0,0,7,0,7,0,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,10,7,7,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,3,0,0,3,0,10,0,0,10,0,10,0,0,0,0,0,0,0,0,0,3,0,6,6,3,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,10,3,7,10,10,0,0,0,0,0,0,0,0,3,6,3,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,8,8,5,0,0,0,0,0,0,3,3,3,0,10,10,5,5,10,0,5,5,8,0,5,8,0,8,0,8,0,8,8,5,8,10,0,10,5,10,8,0,5,8,8,5,5,0,8,8,0,5,0,5,0,5,5,5,5,5,5,0,0,5,0,8,8,0,8,0,8,8,8,5,5,5,5,10,0,5,5,0,8,0,0,8,0,5,0,0,0,0,0,0,0,0,5,5,5,5,5,0,0,5,0,8,8,5,0,0,0,0,0,5,5,10,5,10,8,5,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,3,8,8,8,3,0,10,0,8,0,8,8,8,8,5,0,0,0,8,0,8,5,0,0,5,0,8,0,0,8,0,8,0,8,8,8,0,0,0,0,0,5,0,10,10,5,8,5,5,0,10,8,0,0,8,3,5,0,5,5,5,5,8,0,10,0,0,8,5,3,8,8,8,0,0,5,0,10,8,0,5,10,5,0,0,8,0,8,10,5,5,0,5,3,8,8,5,5,5,10,10,0,8,0,5,5,10,0,5,5,8,0,
5,8,8,8,8,3,0,8,10,10,3,0,3,3,10,0,0,5,10,5,5,5,0,0,8,5,0,5,0,5,0,5,5,10,5,5,5,5,8,0,3,0,8,0,8,5,10,10,5,0,0,5,0,0,8,0,5,10,5,10,10,5,0,5,0,5,5,0,5,0,5,5,5,8,8,8,8,3,0,8,5,8,8,0,0,0,8,0,0,0,0,0,0,0,0,0,10,0,5,8,0,8,8,8,0,8,8,5,0,0,0,0,0,5,5,10,5,10,8,5,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,3,8,8,8,3,0,10,0,5,0,0,3,8,3,0,8,0,0,8,0,8,5,0,0,5,0,8,0,0,8,0,8,8,0,8,0,0,5,0,5,0,5,0,10,10,5,8,5,5,0,5,0,0,8,0,8,8,8,8,5,8,10,0,5,10,0,0,8,5,3,8,8,0,8,5,8,0,0,3,3,5,10,5,0,0,8,0,8,5,10,5,5,5,8,5,0,0,5,5,5,0,0,0,0,5,10,5,5,5,5,8,0,
8,5,5,5,5,10,0,5,3,3,3,0,3,3,10,0,0,8,3,8,8,8,0,0,8,5,0,5,0,5,0,5,8,3,8,8,8,8,5,0,10,0,5,0,5,8,3,3,8,0,0,8,0,0,5,0,8,3,8,3,3,8,0,8,0,5,5,0,5,0,5,5,5,8,8,8,8,3,0,8,8,5,5,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,8,5,0,5,5,5,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,8,0,0,10,5,10,0,5,0,0,8,0,8,5,0,0,8,0,5,0,0,5,0,5,5,0,5,0,0,8,0,8,0,8,0,3,3,8,5,8,8,0,8,0,0,5,0,5,5,5,5,8,5,3,0,8,10,0,0,8,5,3,8,8,0,5,8,5,0,0,10,10,8,3,8,0,0,5,0,5,8,3,8,8,8,5,8,0,0,8,8,8,0,0,0,0,8,3,8,8,8,8,5,0,
8,5,10,0,5,5,8,0,0,0,0,0,0,0,0,0,5,0,3,0,8,3,0,8,0,0,0,0,0,0,0,0,8,11,0,3,8,8,8,3,5,0,0,10,5,0,3,8,0,5,0,8,5,8,0,0,11,11,3,3,11,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,8,5,8,0,3,0,0,0,0,0,0,0,0,3,8,3,8,8,8,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,10,10,2,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,2,5,10,8,8,8,0,0,0,0,0,0,0,0,0,5,3,0,0,8,5,5,0,10,5,8,0,8,5,8,0,0,0,0,0,0,0,0,0,0,8,8,3,8,2,5,0,0,0,0,0,0,0,0,3,3,8,5,0,2,8,5,0,8,3,3,3,8,5,8,8,3,3,8,3,3,5,0,
8,0,5,5,5,5,8,0,0,0,3,10,3,0,10,10,10,5,0,0,0,8,8,8,8,5,0,5,0,5,0,5,3,3,8,0,8,5,0,0,0,0,5,5,0,5,8,8,8,0,0,0,5,0,0,5,3,3,8,8,3,5,5,5,0,5,5,0,5,0,5,5,5,8,8,8,8,3,0,8,5,5,5,8,5,3,0,8,0,0,0,0,0,0,0,0,8,0,8,0,0,8,10,5,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,8,5,5,5,5,10,0,5,0,0,8,0,8,5,0,0,5,0,8,0,0,8,0,8,10,5,10,0,10,8,8,8,0,5,0,10,10,5,8,5,5,5,0,8,0,8,0,8,5,10,10,0,5,0,0,8,10,0,0,8,5,3,8,8,8,0,8,0,3,5,10,5,5,10,5,0,0,8,0,8,0,8,0,5,5,5,3,0,5,0,8,0,0,8,0,8,0,8,0,8,8,8,0,0,
0,0,8,5,0,5,5,5,10,10,10,0,10,10,3,0,8,8,0,8,0,5,0,5,5,8,0,8,0,8,0,8,0,5,8,5,0,0,10,10,5,0,5,3,0,8,0,8,8,8,0,0,8,5,5,0,10,5,5,0,5,3,8,8,0,8,8,0,8,0,8,8,8,5,5,5,5,10,0,5,8,0,8,5,8,5,5,10,0,0,0,0,0,0,0,0,0,5,5,10,5,10,8,5,0,8,8,5,0,0,0,0,0,5,5,10,5,10,8,5,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,3,8,8,8,3,0,10,0,8,8,3,0,8,8,5,0,0,0,5,0,5,8,0,0,5,0,8,0,0,8,0,8,8,3,3,8,3,0,5,0,0,5,0,10,10,5,8,5,8,8,5,0,0,10,8,0,5,8,0,0,5,8,8,0,3,0,0,5,8,10,5,5,0,5,0,10,10,5,8,5,5,10,5,0,0,8,0,8,5,0,0,3,8,3,0,8,0,0,5,5,10,5,8,5,0,0,5,0,5,5,0,0,
5,5,5,5,5,0,3,8,5,5,0,8,0,8,0,8,5,10,10,5,10,0,8,0,5,5,10,8,0,8,0,8,5,0,0,0,5,3,0,8,5,8,0,8,0,8,3,8,8,0,8,5,8,5,5,10,0,5,8,5,0,0,10,10,0,5,5,0,5,0,8,8,5,5,5,8,5,3,0,8,0,5,5,0,8,0,5,8,3,8,8,0,8,0,5,5,0,0,5,5,0,5,8,8,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,10,3,0,10,0,5,5,5,10,10,0,8,0,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,8,3,8,3,3,8,0,8,0,5,10,0,0,5,8,8,0,0,5,8,0,8,5,8,0,5,10,0,0,5,8,8,0,0,0,8,8,0,5,5,5,5,0,0,5,8,8,0,8,0,8,0,0,5,0,5,8,0,5,5,5,5,8,0,8,5,5,5,5,10,0,5,0,8,8,8,3,0,0,0,
0,0,5,8,0,8,5,8,0,0,0,0,0,0,0,0,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,8,0,5,8,8,5,5,0,5,10,5,10,10,5,0,5,5,8,5,3,0,3,8,3,8,0,5,5,5,5,8,0,0,3,3,0,3,0,10,10,0,0,0,0,0,0,0,0,8,8,8,0,0,0,8,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,3,0,0,0,0,8,8,3,0,8,5,5,10,0,0,3,0,10,3,0,0,10,7,10,7,7,10,0,10,8,0,0,10,5,10,0,5,0,0,0,0,0,0,0,0,5,5,0,10,5,5,8,0,5,5,8,5,5,0,0,5,0,0,0,0,0,0,0,0,0,5,10,5,5,5,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,0,5,0,3,0,8,8,0,8,8,8,0,5,5,5,5,8,0,
0,0,0,0,0,0,0,0,3,3,0,10,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,10,0,0,0,0,0,10,10,7,10,7,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,7,0,7,7,0,6,0,0,0,0,0,0,0,0,0,0,0,10,0,3,10,0,0,3,6,3,6,6,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,3,3,3,3,3,10,3,7,0,10,0,0,0,0,0,0,0,0,7,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,3,10,0,0,3,6,3,6,6,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,3,3,0,8,0,0,5,5,5,0,8,0,8,0,8,10,0,5,0,5,8,3,3,8,8,3,5,0,5,0,5,5,0,8,0,0,8,0,5,0,8,8,3,8,3,5,8,0,5,0,10,10,5,8,5,0,8,0,8,8,5,0,0,0,8,8,0,8,0,5,5,5,5,5,8,5,3,0,8,8,0,0,5,0,10,5,10,3,8,8,0,8,0,5,5,8,8,8,0,0,0,8,0,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,3,3,3,0,10,0,0,8,0,8,8,8,0,3,0,0,8,0,5,8,0,0,5,10,5,10,10,5,0,5,5,5,0,0,8,8,5,0,0,8,3,0,0,8,5,5,5,0,0,3,8,3,0,8,8,8,0,0,8,5,5,0,0,0,0,5,5,0,8,8,0,8,3,0,0,8,5,5,8,0,8,0,0,5,0,5,5,5,0,5,0,8,0,8,0,0,8,8,0,8,5,5,10,10,5,0,5,8,0,0,
8,8,8,0,0,0,8,0,5,5,0,8,0,8,0,8,10,5,10,0,10,8,8,8,5,5,10,8,0,8,0,8,5,8,0,0,5,8,8,0,0,3,8,8,0,8,8,8,0,0,8,10,5,5,0,10,5,5,0,5,0,5,0,5,0,8,8,0,8,0,5,5,5,5,5,8,5,3,0,8,0,5,10,5,5,5,0,0,3,8,8,0,8,0,5,5,0,8,0,5,5,5,3,0,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,3,0,10,0,5,5,5,5,5,0,0,8,0,0,8,0,5,8,0,0,5,10,5,10,10,5,0,5,0,0,8,8,3,8,5,8,0,5,10,0,0,5,8,8,5,5,10,8,0,8,0,8,0,5,5,0,8,0,5,8,0,0,0,8,8,0,5,5,5,0,8,5,5,8,8,0,8,0,8,0,0,5,0,5,0,0,0,5,5,0,8,8,8,0,0,0,5,0,0,5,5,0,8,0,0,8,0,5,
8,8,8,0,0,0,8,0,5,5,0,8,0,8,0,8,10,5,10,0,10,8,8,8,8,8,3,5,0,5,0,5,5,8,0,0,5,8,8,0,0,3,8,8,0,8,8,8,0,0,8,10,5,5,0,10,5,5,0,5,0,5,0,5,0,5,5,0,5,0,8,8,5,5,5,8,5,3,0,8,0,5,10,5,5,5,0,0,3,8,8,0,8,0,5,5,0,8,0,5,5,5,3,0,0,5,5,8,0,0,0,0,0,8,8,3,8,3,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,6,0,3,0,10,0,5,5,5,5,5,0,0,8,0,0,5,0,8,5,0,0,8,3,8,3,3,8,0,8,0,0,8,8,3,8,5,8,0,8,3,0,0,8,5,5,5,5,10,8,0,8,0,8,0,5,5,0,8,0,5,8,0,0,0,5,5,0,8,8,5,0,8,5,5,8,8,0,8,0,8,0,0,5,0,5,0,0,0,5,5,0,8,8,8,0,0,0,5,0,0,5,5,0,8,0,0,8,0,5,
10,10,10,5,5,0,8,8,3,3,0,10,0,10,0,10,8,5,0,5,0,5,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,8,5,5,5,0,0,0,8,0,8,0,0,8,3,0,5,0,8,0,8,0,0,8,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,3,8,5,8,0,0,0,0,0,0,0,0,0,5,5,0,8,0,5,8,0,3,3,10,0,0,0,0,0,10,10,7,10,7,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,10,10,7,0,6,0,0,0,0,5,5,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,0,8,0,0,8,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,5,0,0,0,5,0,5,5,3,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,8,0,5,0,0,5,0,5,0,5,5,5,0,10,0,0,8,8,0,8,3,5,0,8,
0,8,5,0,5,0,8,8,8,8,0,8,0,8,0,8,8,8,0,8,0,8,0,8,8,8,0,8,3,5,0,8,5,0,0,0,5,0,3,8,5,8,5,3,0,3,8,3,8,5,0,10,5,5,5,10,0,8,8,0,8,0,5,5,10,5,5,0,5,0,8,8,5,5,5,8,5,3,0,8,10,5,5,0,5,0,8,8,3,8,8,0,8,0,5,5,5,0,8,8,8,8,5,0,10,5,5,5,10,0,3,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,5,5,0,8,8,0,0,5,0,5,5,0,0,5,0,8,0,0,8,0,8,8,5,5,5,5,10,0,5,0,5,0,10,10,5,8,5,8,8,8,0,0,0,5,10,8,0,3,5,0,0,5,10,0,0,0,0,0,0,0,0,8,5,0,10,5,5,5,10,3,3,10,0,0,10,0,0,5,8,0,0,5,8,8,0,5,8,5,8,5,0,3,8,0,0,0,5,5,0,8,8,
5,8,0,8,0,8,3,8,5,5,0,5,0,5,0,5,8,8,8,3,3,0,5,0,5,5,0,5,10,8,0,5,3,8,8,0,8,10,5,5,5,5,0,5,10,8,0,5,10,5,5,0,5,3,8,8,8,0,0,10,5,10,0,5,3,8,8,0,8,0,5,5,8,8,8,5,8,10,0,5,5,5,0,0,5,8,8,0,10,5,5,0,5,0,8,8,0,0,8,5,0,8,5,5,3,8,8,8,3,0,10,0,3,8,8,0,8,10,5,5,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,5,8,8,0,0,0,8,0,0,0,8,0,8,8,0,0,8,0,5,0,0,5,0,5,5,0,5,3,0,8,0,8,0,8,0,3,3,8,5,8,0,0,0,5,5,10,8,5,0,0,5,0,5,8,0,0,0,0,0,0,0,0,0,0,0,8,8,8,0,3,0,0,10,10,3,0,0,3,0,0,8,0,0,5,0,0,5,0,0,5,5,8,0,0,0,0,5,8,0,8,0,8,0,8,
0,5,0,0,0,5,5,5,3,3,0,3,0,3,0,3,10,10,10,5,5,0,8,8,0,0,0,0,0,0,0,0,5,0,0,8,0,3,5,0,3,0,0,5,8,10,5,5,0,0,0,8,8,0,5,8,5,0,0,8,0,3,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,5,8,10,5,5,0,0,0,0,0,0,0,0,8,0,0,5,0,10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,8,8,8,0,3,0,5,0,0,10,0,7,7,10,3,10,10,5,5,8,0,3,0,3,0,5,5,5,0,10,0,0,0,0,0,0,0,0,0,0,8,8,0,8,3,5,0,8,3,6,3,0,0,10,0,10,8,8,8,3,3,0,5,0,5,5,0,5,0,8,0,8,5,5,5,0,0,0,8,0,
8,5,8,10,0,10,5,10,8,8,0,8,0,8,0,8,0,5,0,10,0,5,5,5,8,8,0,8,3,5,0,8,5,5,10,8,0,8,0,8,0,5,5,5,0,10,0,0,8,3,0,3,8,0,0,8,0,0,5,8,0,8,8,8,3,8,8,0,8,0,5,5,5,5,5,8,5,3,0,8,3,3,8,0,8,5,0,0,3,8,8,0,8,0,5,5,0,8,5,8,0,0,3,3,10,5,5,5,10,0,3,0,3,8,8,0,8,10,5,5,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,3,0,8,0,8,5,10,10,0,0,5,0,5,5,0,0,5,0,8,0,0,8,0,8,0,0,8,0,8,8,0,0,0,5,0,10,10,5,8,5,5,5,0,5,0,8,0,8,8,8,0,8,3,5,0,8,0,0,0,0,0,0,0,0,0,0,8,0,8,5,0,0,0,3,0,0,0,0,0,10,0,0,0,8,8,0,8,8,0,5,8,10,5,0,5,5,0,5,8,0,8,0,5,5,
0,0,0,8,8,3,5,8,5,5,0,5,0,5,0,5,0,8,8,0,5,0,8,5,5,5,0,5,10,8,0,5,8,0,8,10,0,5,0,5,0,8,3,8,8,8,0,0,0,0,8,5,0,5,8,5,0,5,0,0,0,5,5,5,10,5,5,0,5,0,8,8,5,5,5,8,5,3,0,8,5,0,0,8,0,3,5,0,3,8,8,0,8,0,5,5,0,5,5,0,5,0,5,5,3,8,8,8,3,0,10,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,5,0,5,0,0,8,0,8,0,0,8,0,8,8,0,0,8,0,5,0,0,5,0,5,5,0,0,5,10,0,8,0,0,8,0,3,3,8,5,8,3,8,0,8,8,5,0,0,10,0,0,8,5,3,8,8,0,0,0,0,0,0,0,0,10,5,10,0,10,8,8,8,10,10,10,0,0,3,0,6,5,10,5,10,10,5,0,5,3,3,8,8,3,5,5,5,3,8,0,0,0,5,5,5,
0,8,5,0,5,0,8,8,5,5,0,5,0,5,0,5,8,8,0,8,0,8,0,8,5,5,0,5,10,8,0,5,5,0,0,0,5,0,3,8,5,8,5,3,0,3,8,3,8,5,0,10,5,5,5,10,0,8,8,0,8,0,5,5,10,5,5,0,5,0,8,8,5,5,5,8,5,3,0,8,10,5,5,0,5,0,8,8,3,8,8,0,8,0,5,5,5,0,8,8,8,8,5,0,3,8,8,8,3,0,10,0,10,5,5,0,5,3,8,8,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,0,5,5,0,8,8,0,0,8,0,8,8,0,0,8,0,5,0,0,5,0,5,8,5,5,5,5,10,0,5,0,8,0,3,3,8,5,8,8,8,8,0,0,0,5,10,8,0,3,5,0,0,5,10,0,0,0,0,0,0,0,0,8,5,0,10,5,5,5,10,10,10,10,0,0,3,0,6,5,8,0,0,5,8,8,0,5,8,5,8,5,0,3,8,0,0,0,5,5,0,8,8,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,10,0,10,0,3,3,10,10,10,3,10,6,0,3,0,0,0,0,0,0,0,0,6,3,3,0,3,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,10,0,10,6,3,3,3,0,3,0,6,10,7,10,0,0,0,0,0,0,0,0,0,10,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,3,3,0,3,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,10,3,7,0,10,0,0,0,0,0,0,0,0,7,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,0,0,0,0,0,0,0,0,0,10,0,7,7,10,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,0,0,7,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,8,0,8,5,0,0,5,5,0,8,0,8,0,8,8,0,3,0,8,0,10,5,8,8,0,8,3,5,0,8,8,5,5,5,5,10,0,5,5,8,8,8,8,3,0,8,8,0,8,10,0,5,0,5,5,5,5,0,0,0,5,0,0,5,8,10,5,0,5,5,8,5,8,5,8,0,10,5,5,8,0,8,0,8,3,8,0,5,5,0,8,0,5,8,8,0,0,0,8,10,0,5,3,3,6,0,3,0,10,0,0,8,8,3,8,3,5,8,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,0,8,5,0,5,0,8,8,0,0,5,0,5,5,0,0,0,0,0,0,0,0,0,0,3,8,3,5,8,5,10,10,0,5,0,0,0,8,5,5,0,5,0,10,10,5,8,5,0,5,0,5,5,5,0,0,0,10,0,5,5,0,5,5,0,0,8,8,3,8,5,8,5,0,8,0,0,8,0,8,0,0,5,3,8,8,0,3,0,5,0,0,0,8,5,8,0,0,5,8,0,8,8,8,
8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,8,8,5,0,0,10,8,0,0,0,0,0,0,0,0,0,8,3,8,3,3,8,0,8,8,8,0,8,0,5,0,5,0,0,8,8,0,8,5,5,3,8,3,0,3,5,5,5,0,0,0,0,0,0,0,0,10,3,10,3,10,0,6,3,8,0,0,8,0,0,5,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,5,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,10,0,5,8,8,3,0,3,0,0,0,10,3,3,0,3,0,8,8,0,8,8,5,0,0,5,0,0,8,0,0,0,0,0,0,0,0,0,8,8,0,0,5,5,8,0,0,0,0,0,0,0,0,0,8,8,8,5,8,10,0,5,5,5,5,5,5,0,0,5,0,0,0,5,5,10,8,5,
0,0,5,8,0,8,5,8,0,0,0,0,0,0,0,0,5,0,5,0,10,8,3,8,0,0,0,0,0,0,0,0,5,0,8,5,5,8,8,0,5,10,5,10,10,5,0,5,5,8,5,3,0,3,8,3,8,0,5,5,5,5,8,0,0,0,0,0,0,0,0,0,3,10,3,10,3,0,7,10,5,5,5,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,0,0,0,8,8,8,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,3,0,8,5,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,3,8,3,0,8,0,10,0,0,0,3,10,10,8,8,0,3,8,8,5,0,8,8,5,8,8,0,0,8,0,0,0,0,0,0,0,0,0,5,10,5,5,5,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,0,5,0,3,0,8,8,0,8,8,5,0,8,8,8,8,5,0,
5,0,0,8,0,3,5,3,0,0,0,0,0,0,0,0,10,5,0,0,10,11,8,8,0,0,0,0,0,0,0,0,10,10,0,2,2,0,8,5,10,2,5,2,10,0,0,0,5,8,10,8,0,8,3,11,5,5,2,5,2,0,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,0,0,8,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,8,0,8,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,3,3,8,5,5,0,0,0,0,0,0,0,0,8,5,0,8,0,8,10,5,3,8,5,3,8,0,5,8,0,0,0,0,0,0,0,0,5,10,10,5,0,0,5,0,0,0,0,0,0,0,0,0,10,5,5,8,10,3,0,0,8,11,8,3,3,0,8,3,5,0,8,3,3,11,10,8,
0,8,8,5,0,0,3,0,0,0,0,0,0,0,0,0,5,10,5,5,8,5,5,0,0,0,0,0,0,0,0,0,0,0,5,3,8,8,10,0,11,3,8,8,11,5,5,0,8,5,8,5,8,10,10,5,10,0,8,3,8,11,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,8,8,5,8,10,0,5,0,0,0,0,0,0,0,0,5,5,0,8,0,8,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,2,8,5,8,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,10,2,10,8,5,0,0,0,0,0,0,0,0,2,10,5,5,5,8,8,3,5,0,3,0,5,3,0,5,0,0,0,0,0,0,0,0,5,0,3,0,5,3,0,5,0,0,0,0,0,0,0,0,0,5,5,10,5,0,8,8,8,5,0,0,5,5,5,10,3,8,0,5,5,5,0,0,
0,0,8,5,0,5,8,5,0,0,0,0,0,0,0,0,8,0,8,0,3,5,10,5,0,0,0,0,0,0,0,0,8,0,5,8,8,5,5,0,8,3,8,3,3,8,0,8,8,5,8,10,0,10,5,10,5,0,8,8,8,8,5,0,0,10,3,7,10,0,10,10,0,0,0,0,0,0,0,0,8,8,8,0,0,0,8,0,0,10,10,0,3,0,10,3,0,5,0,0,0,5,5,5,0,10,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,10,0,5,8,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,10,5,10,0,5,0,0,0,0,0,0,0,0,5,5,0,10,5,5,8,0,5,5,8,5,5,0,0,5,0,7,0,10,10,0,10,10,0,8,3,8,8,8,0,0,0,0,0,0,0,0,0,0,8,0,0,0,8,0,0,8,0,10,0,5,5,0,5,5,8,0,5,5,5,5,8,0,
0,8,8,0,8,0,8,8,8,8,0,5,0,5,0,5,5,10,0,5,0,0,5,0,8,8,0,8,3,5,0,8,0,5,5,0,5,0,5,5,8,8,8,0,3,0,5,0,8,0,8,5,8,5,5,0,10,5,5,8,0,3,0,3,0,5,8,10,5,0,5,5,8,5,8,5,8,0,10,5,8,8,0,0,8,5,8,0,0,5,5,0,8,0,5,8,0,0,0,8,8,0,5,5,3,0,3,3,3,0,10,0,0,5,5,10,5,10,8,5,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,3,8,8,8,3,0,10,0,0,0,10,8,5,0,8,8,0,0,5,0,5,5,0,0,0,0,0,0,0,0,0,0,8,0,8,5,5,5,5,10,0,5,0,0,0,8,5,5,10,10,5,5,10,8,8,8,0,0,8,0,5,8,0,0,0,10,0,5,5,0,5,5,5,5,8,0,0,3,5,0,5,0,8,0,0,8,0,8,5,5,10,0,5,8,8,3,8,0,0,8,0,0,5,0,8,8,0,8,0,8,0,8,
8,0,5,8,8,5,5,0,5,5,0,8,0,8,0,8,8,8,0,0,5,5,8,0,5,5,0,5,10,8,0,5,8,8,8,0,0,0,8,0,5,0,0,0,5,0,0,5,0,8,8,8,0,3,0,0,3,0,0,5,8,10,5,5,0,8,5,3,8,0,8,8,8,5,8,5,8,0,10,5,5,0,5,3,0,8,0,8,0,8,8,0,5,0,8,5,3,3,8,0,8,5,0,0,10,3,0,0,10,0,3,0,0,8,8,3,8,3,5,8,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,10,5,5,5,10,0,3,0,0,8,3,0,0,8,5,5,0,0,8,0,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,3,5,8,0,5,0,0,0,8,5,5,8,3,0,8,0,0,8,0,0,0,5,5,0,5,8,8,0,3,0,8,8,0,8,8,8,0,5,0,0,5,0,8,8,0,5,0,0,5,0,5,0,8,0,8,8,5,0,0,5,0,5,0,0,8,0,8,5,0,0,8,0,0,8,0,
0,0,0,0,0,8,0,0,8,5,8,10,5,5,10,10,8,8,8,8,8,8,5,0,0,0,10,5,10,10,3,0,0,0,0,0,8,8,5,0,0,0,5,0,8,5,0,8,0,0,8,0,8,8,5,8,8,8,8,0,0,5,0,10,0,5,5,5,0,5,0,0,5,5,8,10,10,0,0,5,10,5,5,0,5,0,3,8,8,0,0,5,0,10,0,5,8,8,8,0,8,5,0,0,5,10,5,5,10,8,5,0,0,0,0,0,5,0,8,0,0,8,8,5,0,5,8,5,10,0,5,11,8,3,8,11,0,8,8,8,3,0,0,0,10,0,0,0,0,8,8,8,5,0,0,8,0,8,0,0,5,5,5,0,0,0,8,8,5,0,0,0,5,0,8,0,10,5,10,5,10,0,8,0,5,0,5,8,0,8,8,3,8,0,0,8,8,5,5,0,5,5,5,5,5,5,8,0,10,10,0,10,2,8,0,10,5,0,5,3,8,0,0,8,0,8,0,3,8,8,0,8,10,10,5,5,0,3,0,3,0,8,0,0,5,5,8,0,
0,5,0,5,0,5,5,5,5,0,5,8,0,8,3,8,10,0,5,8,0,8,8,3,0,0,3,8,3,8,10,5,0,5,5,5,0,5,8,0,0,0,3,0,0,8,5,5,0,0,0,5,5,0,0,5,0,0,0,8,0,8,0,8,0,0,8,0,0,0,0,5,0,0,10,0,0,0,8,3,0,10,5,5,0,5,0,0,0,0,5,0,0,5,8,0,5,0,0,5,5,0,0,5,0,8,8,8,3,0,0,0,8,8,8,0,0,0,0,5,5,5,5,0,0,0,8,8,8,3,8,5,5,5,0,5,5,5,10,0,10,8,8,3,8,5,0,5,5,5,0,5,0,5,5,5,5,5,8,0,0,8,8,5,0,5,8,5,0,0,0,5,0,0,0,5,8,8,3,0,3,5,0,5,3,8,8,5,0,5,5,5,5,0,0,8,0,3,0,8,0,0,0,0,0,0,5,0,8,3,0,3,11,5,0,3,3,0,3,10,8,5,10,10,0,0,0,5,5,0,0,0,8,8,5,8,5,10,8,5,5,5,5,0,0,0,8,8,
0,8,3,5,0,5,3,5,8,0,0,0,8,5,5,0,8,0,0,5,5,5,8,5,0,0,5,0,5,0,8,8,5,0,8,0,5,8,0,0,0,5,5,5,5,5,0,5,8,0,8,0,8,5,5,5,0,0,5,5,5,5,8,0,10,0,5,8,5,11,8,3,0,0,8,8,8,0,5,5,8,3,8,8,0,8,0,0,0,5,0,0,5,8,10,5,0,0,5,0,0,0,8,8,8,5,5,10,5,2,0,5,0,8,5,0,0,0,0,8,0,0,0,8,0,8,5,0,0,10,8,5,0,5,5,10,8,3,3,8,8,8,0,5,0,0,5,0,0,0,0,8,0,0,5,3,8,8,0,3,0,0,0,8,0,8,5,0,0,5,5,5,5,5,0,0,5,5,5,0,5,8,0,8,10,10,5,5,5,0,8,0,5,5,0,10,5,5,8,5,0,0,0,8,8,8,0,8,0,5,5,5,10,0,0,5,0,3,0,11,8,3,8,3,5,0,0,0,5,5,0,10,0,5,8,5,0,8,5,0,0,0,8,8,8,3,10,0,
5,8,0,8,0,8,8,8,3,0,8,5,8,10,5,5,8,8,8,5,0,5,0,5,0,0,5,5,5,5,8,0,0,8,3,8,0,0,5,5,0,0,10,8,0,0,0,8,0,8,8,8,8,0,0,0,0,8,0,0,0,0,0,0,0,0,0,8,8,8,5,8,0,0,8,8,8,0,0,5,8,11,8,3,8,3,5,8,0,8,8,3,8,3,5,8,5,0,10,0,5,5,3,8,8,0,0,5,5,5,0,5,8,0,0,0,3,0,10,0,8,8,8,8,0,8,10,5,8,10,0,0,8,0,2,5,0,8,0,8,8,0,8,8,5,0,5,0,0,0,0,0,0,8,0,8,0,0,8,0,0,5,8,0,0,3,10,5,5,5,10,0,5,0,0,0,10,10,5,0,5,3,0,3,5,5,5,0,5,0,0,0,0,5,0,10,0,5,0,5,0,0,0,8,8,8,5,8,8,0,8,5,5,0,5,10,10,0,10,8,10,8,11,3,0,0,0,0,0,5,8,0,8,0,8,5,8,0,5,0,8,0,0,8,8,8,10,0,
8,0,5,8,0,0,5,0,10,0,0,0,10,3,8,0,0,10,0,5,0,0,5,5,8,8,8,8,8,8,5,0,8,8,0,8,8,0,0,8,5,0,0,0,0,8,8,8,0,0,5,0,0,0,8,8,0,0,8,0,8,0,0,0,8,0,5,10,5,2,8,5,3,3,8,0,0,0,5,5,0,0,0,5,0,5,0,5,0,0,8,5,0,0,0,0,8,0,8,8,8,8,10,0,10,0,0,3,8,11,0,3,5,10,5,0,5,0,8,8,8,0,8,10,0,5,0,5,0,3,8,8,8,3,8,8,8,5,0,10,5,10,5,10,0,0,8,8,8,8,5,0,0,0,8,5,0,0,5,5,0,0,5,8,0,0,0,8,8,8,3,8,3,0,5,0,3,8,8,0,8,5,5,5,0,8,0,8,8,0,8,0,3,8,0,3,0,0,5,0,0,0,0,5,5,10,3,5,0,0,0,8,3,0,0,8,0,5,0,10,5,5,0,5,0,5,5,0,0,8,0,8,0,8,0,8,0,0,0,5,0,0,0,10,10,2,3,10,
0,5,5,0,5,8,5,0,5,0,0,0,5,8,0,0,0,0,0,8,8,8,5,0,8,8,0,8,0,5,0,5,0,0,5,0,8,0,0,8,0,8,8,0,8,0,0,0,8,8,3,0,8,3,5,8,0,8,3,0,5,0,8,10,8,0,0,5,0,10,0,5,0,0,0,5,5,0,0,0,5,5,5,0,0,5,8,0,3,8,8,5,8,2,0,5,3,8,3,8,3,0,10,5,5,5,8,0,0,3,10,5,5,5,0,0,5,0,8,0,5,0,8,5,0,0,8,5,0,3,0,3,8,8,3,11,0,5,0,5,0,5,5,5,0,0,8,0,8,0,0,0,10,10,0,5,5,8,5,5,0,0,5,0,0,5,8,8,0,8,8,8,8,0,8,8,8,0,0,10,0,10,5,10,0,8,0,8,0,8,8,8,8,8,0,3,8,0,5,0,10,10,10,10,10,5,3,0,5,0,0,0,0,0,8,0,0,5,0,5,0,5,5,5,0,0,5,8,8,8,0,3,5,0,5,8,0,8,0,8,0,8,0,0,5,5,3,0,
0,0,5,0,5,0,8,0,5,5,0,5,10,8,5,5,0,0,8,0,0,8,5,5,0,0,5,0,5,5,8,0,0,3,8,3,8,8,0,8,0,0,0,5,0,0,0,0,8,8,8,0,8,0,0,8,8,8,3,5,0,5,0,10,0,5,5,10,5,10,8,5,8,8,3,5,5,0,0,10,0,3,8,8,8,8,0,0,8,8,8,8,8,0,5,0,3,8,8,8,8,0,5,0,10,10,5,0,5,3,5,8,5,10,10,0,5,0,8,3,8,0,3,10,0,0,5,10,5,0,8,8,3,3,0,3,0,0,8,0,8,0,5,5,0,0,8,0,8,8,5,0,5,5,0,0,0,8,5,0,8,0,0,0,0,0,5,0,8,8,8,8,8,5,0,0,0,5,5,5,5,0,5,0,5,8,0,8,0,8,8,8,3,0,0,8,0,5,10,5,5,5,5,10,10,10,3,5,5,5,0,5,5,8,0,5,5,0,5,8,5,8,8,8,5,5,5,8,0,8,0,8,5,5,0,5,0,8,5,0,8,8,8,5,5,2,8,10,
8,8,3,5,8,5,0,5,8,5,5,0,8,5,5,0,8,0,0,0,0,5,8,0,5,5,5,0,5,8,8,3,5,10,5,5,5,8,0,0,8,5,8,5,0,5,5,10,0,5,5,0,0,5,5,5,0,5,10,0,0,5,0,8,5,8,0,8,5,3,8,8,5,5,0,0,0,0,5,0,5,10,5,5,10,0,8,0,5,10,5,10,10,0,0,5,5,5,5,10,5,5,8,0,8,0,5,5,5,10,8,0,8,3,8,0,0,0,0,5,5,5,10,8,0,0,8,3,0,0,0,0,0,10,0,10,8,3,8,8,8,0,8,0,8,0,0,5,5,5,0,0,8,0,5,0,0,5,8,8,5,8,0,8,0,0,8,0,5,10,5,10,10,0,0,5,10,0,5,8,5,8,3,8,5,10,5,5,0,0,0,0,10,5,5,5,5,0,3,8,8,8,8,3,3,8,5,8,5,5,5,0,10,8,0,0,8,8,8,3,3,8,10,0,8,8,8,0,0,5,5,10,5,5,0,5,5,8,8,8,5,5,0,0,0,3,5,8,
0,3,8,8,0,8,8,8,5,5,0,5,0,8,0,8,3,8,0,8,8,5,0,0,5,8,0,8,0,8,0,8,0,8,0,8,8,8,0,0,5,0,0,8,0,0,8,0,5,5,0,0,5,8,5,0,0,8,8,0,8,0,8,8,0,8,8,0,8,0,8,8,10,3,0,6,0,6,3,6,3,8,0,0,0,5,5,5,10,5,5,0,5,0,8,8,5,0,5,8,5,8,8,0,0,5,5,5,0,0,0,0,0,5,5,0,5,0,5,5,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,0,0,8,5,0,8,5,5,0,0,0,0,0,0,0,0,8,0,8,0,0,5,0,5,5,5,8,5,5,0,0,5,0,5,0,0,0,8,5,5,8,3,8,0,0,5,0,5,8,5,5,5,5,10,0,5,0,0,3,5,8,0,5,5,5,5,5,8,8,0,0,8,5,0,5,0,0,8,0,8,5,0,0,0,5,3,0,8,8,0,8,5,8,5,5,0,5,0,5,8,8,8,8,3,
5,5,10,0,5,5,8,0,8,8,0,8,0,5,0,5,10,5,5,8,0,3,0,3,8,5,0,5,0,5,0,5,0,10,5,10,5,5,0,0,8,0,8,5,8,5,5,0,0,5,5,5,0,0,0,0,0,0,0,5,5,0,5,5,0,5,5,0,5,0,5,5,0,7,10,10,10,0,10,10,5,8,8,8,8,3,0,8,10,5,5,0,5,0,8,8,8,0,5,0,0,5,0,8,0,8,8,8,0,0,0,0,0,8,8,0,8,0,8,8,5,0,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,8,0,5,8,8,5,5,0,0,0,0,0,0,0,0,0,5,0,5,0,0,8,0,8,0,8,0,0,0,8,8,8,0,8,0,0,0,5,8,8,10,10,5,0,5,8,0,0,0,0,8,5,0,8,5,5,0,0,10,8,5,0,8,8,5,0,0,5,10,0,8,0,5,0,5,0,0,8,0,8,3,3,8,8,3,5,5,5,8,8,8,0,0,0,5,10,5,0,0,5,10,0,8,0,
8,5,8,5,8,0,10,5,0,0,0,0,0,0,0,0,0,0,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,0,0,0,5,0,5,8,0,0,8,3,8,8,8,5,8,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,10,3,10,3,10,0,6,3,5,10,5,5,5,5,8,0,0,0,0,0,0,0,0,0,0,0,3,5,8,0,5,5,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,5,8,8,5,5,0,0,10,0,0,0,3,10,10,8,0,0,0,8,0,0,8,5,8,0,3,8,8,8,3,0,0,0,0,0,0,0,0,3,8,8,0,8,0,5,5,0,0,0,0,0,0,0,0,5,10,5,5,5,5,8,0,10,5,10,8,5,8,3,3,3,0,8,0,8,5,10,10,
3,0,8,0,8,5,10,10,5,5,0,5,0,8,0,8,5,10,0,10,5,0,0,5,5,8,0,8,0,8,0,8,0,0,0,5,5,10,8,5,0,5,5,5,0,0,0,0,0,8,0,5,5,5,3,0,5,5,10,0,5,5,8,0,0,8,8,0,8,0,8,8,0,6,3,3,3,0,3,3,10,5,5,5,10,0,3,0,3,8,8,0,8,0,5,5,8,8,3,5,0,5,0,5,0,5,5,5,0,0,0,0,0,5,5,0,5,0,5,5,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,0,0,5,0,5,5,3,0,0,0,0,0,0,0,0,0,8,0,8,0,0,5,0,5,0,5,5,0,8,0,5,8,0,5,0,0,0,8,5,5,0,5,0,0,0,8,5,8,5,8,0,8,0,8,3,8,0,0,3,5,8,0,5,5,8,0,0,0,5,0,0,5,8,0,8,0,0,5,0,5,0,0,8,0,8,5,0,0,5,5,10,0,5,5,8,0,3,8,8,0,8,10,5,5,
5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,8,8,5,0,0,10,8,0,0,0,0,0,0,0,0,0,8,3,8,3,3,8,0,8,8,8,0,8,0,5,0,5,0,0,8,8,0,8,5,5,3,8,3,0,3,5,5,5,0,0,0,0,0,0,0,0,3,10,3,10,3,0,7,10,8,0,0,8,0,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,8,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,3,0,8,5,5,10,0,3,0,0,0,10,3,3,0,3,0,8,8,0,8,8,8,0,0,8,0,0,5,0,0,0,0,0,0,0,0,0,5,5,0,0,8,8,5,0,0,0,0,0,0,0,0,0,5,5,5,8,5,3,0,8,8,8,8,8,8,0,0,8,0,0,0,8,8,3,5,8,
10,8,0,8,5,8,3,3,0,0,0,0,0,0,0,0,8,8,10,3,8,5,8,3,0,0,0,0,0,0,0,0,8,8,0,8,3,8,0,8,8,8,8,8,8,10,0,5,5,10,0,0,5,3,10,5,3,3,11,5,3,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,8,3,8,8,10,0,0,0,0,0,0,0,0,0,5,5,2,8,5,0,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,0,8,3,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,11,5,0,0,0,10,0,0,0,0,0,0,0,0,5,3,0,8,0,0,8,0,3,5,0,5,5,5,10,10,0,0,0,0,0,0,0,0,2,10,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,0,3,0,11,5,8,11,3,11,0,3,5,10,5,10,0,5,8,0,11,8,11,
8,3,11,8,8,8,5,0,0,0,0,0,0,0,0,0,3,0,5,5,0,2,8,5,0,0,0,0,0,0,0,0,8,11,8,3,3,0,8,0,0,0,5,8,0,5,8,5,5,0,8,0,10,8,0,5,8,8,8,0,3,10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,5,0,10,5,0,5,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,8,5,5,3,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,5,8,5,10,10,0,0,0,0,0,0,0,0,8,11,8,8,8,0,0,8,8,0,5,8,5,5,8,0,0,0,0,0,0,0,0,0,5,10,5,8,8,8,5,0,0,0,0,0,0,0,0,0,10,5,0,8,5,11,0,3,8,0,0,0,8,10,0,8,8,8,0,3,11,8,5,3,
0,5,5,5,0,0,0,0,8,8,0,8,0,5,0,5,0,8,3,0,0,8,5,5,8,5,0,5,0,5,0,5,5,5,0,0,5,8,5,0,5,0,0,0,5,3,0,8,8,8,0,8,3,5,0,8,5,5,5,8,5,3,0,8,0,5,5,0,5,0,5,5,0,0,10,3,10,0,3,3,0,5,0,5,8,5,0,0,10,5,5,0,5,0,8,8,0,0,8,0,8,8,10,0,0,5,5,5,0,0,0,0,0,5,5,0,5,0,5,5,8,0,8,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,8,5,0,0,0,0,0,8,0,0,0,5,8,8,0,0,0,0,0,0,0,0,8,0,8,0,0,5,0,5,0,0,10,8,5,0,8,8,0,5,0,0,0,8,5,5,8,5,0,5,0,5,0,5,5,0,0,0,8,0,0,8,0,0,3,5,8,0,5,5,3,3,8,0,8,5,0,0,5,0,5,0,0,8,0,8,0,5,5,10,5,10,8,5,10,5,5,0,5,3,8,8,0,5,0,5,5,5,0,10,
0,5,0,10,0,5,5,5,5,5,0,5,0,5,0,5,5,0,5,3,0,8,0,8,8,5,0,5,0,5,10,5,8,0,0,5,0,0,5,0,0,5,8,0,8,0,5,5,10,10,5,5,10,8,8,8,0,8,0,0,0,5,8,8,0,5,5,0,5,0,8,8,5,5,5,5,5,0,0,5,0,0,0,8,8,3,5,8,0,8,5,0,5,0,8,8,5,8,8,0,0,0,8,0,0,0,0,0,0,0,0,0,0,5,5,0,5,0,5,5,5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,0,8,0,8,8,8,0,0,0,0,5,0,8,5,0,0,10,10,0,10,0,0,10,0,8,5,0,0,8,5,5,0,0,8,0,3,3,8,5,8,5,5,10,0,5,5,8,0,0,0,0,8,8,0,8,8,0,0,3,5,8,0,5,5,3,8,3,5,8,5,10,10,8,3,8,0,0,5,0,5,5,5,5,0,0,0,8,0,10,0,0,8,5,3,8,8,3,8,3,0,3,5,5,5,
5,8,5,8,5,0,3,8,0,0,0,0,0,0,0,0,0,0,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,0,0,0,5,0,5,8,0,0,8,3,8,8,8,5,8,0,0,5,5,8,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,0,0,3,5,10,5,5,5,5,8,0,0,0,0,0,0,0,0,0,0,0,10,8,5,0,8,8,0,0,0,0,0,0,0,0,0,3,3,0,3,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,8,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,5,0,8,5,5,8,8,0,0,0,0,0,0,0,0,0,8,0,0,0,8,0,0,8,8,5,0,10,5,5,5,10,0,0,7,3,10,0,3,3,10,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,8,3,8,8,8,8,5,0,3,8,3,5,8,5,10,10,10,0,5,0,5,8,3,3,
11,8,11,0,3,0,2,10,0,0,0,0,0,0,0,0,8,5,5,8,8,0,0,8,0,0,0,0,0,0,0,0,0,0,5,5,0,5,8,5,8,8,3,0,8,5,5,0,0,10,5,0,8,8,10,0,8,8,3,5,0,8,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,3,0,0,5,0,0,5,0,0,0,0,0,0,0,0,0,5,8,5,3,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,8,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,5,3,8,5,0,0,0,0,0,0,0,0,0,0,0,8,8,0,5,0,5,5,5,8,8,3,3,3,5,3,0,0,0,0,0,0,0,0,3,0,0,8,8,0,5,5,0,0,0,0,0,0,0,0,10,10,0,5,5,0,8,8,10,10,2,0,5,5,3,3,8,5,8,5,5,0,10,2,
8,10,0,5,0,0,5,0,0,0,0,0,0,0,0,0,0,8,0,3,3,8,8,11,0,0,0,0,0,0,0,0,0,10,0,5,8,0,5,5,0,8,8,5,0,10,3,0,5,5,0,5,0,8,10,5,5,5,8,2,5,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,11,11,8,3,0,10,10,0,0,0,0,0,0,0,0,8,0,11,0,3,8,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,10,5,5,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,0,0,5,5,5,0,0,0,0,0,0,0,0,5,8,3,8,0,8,0,5,0,11,8,3,8,0,8,8,0,0,0,0,0,0,0,0,8,0,0,5,0,0,8,0,0,0,0,0,0,0,0,0,0,5,5,5,10,10,3,0,5,5,2,0,10,0,11,3,8,10,5,0,0,5,10,5,
10,0,5,8,0,8,8,8,8,8,0,8,0,8,0,8,0,0,0,5,5,0,5,5,5,8,0,8,0,8,3,8,5,0,5,8,5,8,8,3,5,5,10,8,0,8,0,8,8,8,0,0,5,5,8,0,0,8,5,3,8,0,8,8,0,5,5,0,5,0,8,8,5,5,5,5,5,0,0,5,5,5,5,0,0,0,8,3,0,5,8,0,8,0,5,5,0,0,5,5,10,5,8,5,0,0,0,0,0,0,0,0,0,5,5,0,5,0,5,5,8,0,5,0,0,5,0,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,8,8,8,0,0,0,8,0,0,0,5,0,8,5,0,0,10,10,7,10,7,0,3,0,5,0,8,0,0,8,0,8,0,5,0,10,10,5,8,5,0,5,5,5,0,0,0,0,5,10,10,5,10,0,8,0,0,0,3,5,8,0,5,5,5,8,0,8,0,8,0,8,5,10,5,0,0,8,0,8,8,0,0,0,8,0,10,5,8,8,3,8,3,8,10,5,0,3,0,8,8,0,8,8,
5,0,5,5,5,5,8,0,8,8,0,8,0,8,0,8,5,0,0,0,5,0,0,5,8,5,0,5,0,5,10,5,8,8,8,0,0,0,5,0,0,5,0,0,0,8,5,5,5,0,0,0,5,0,3,8,0,0,5,8,0,5,8,8,0,5,5,0,5,0,8,8,5,5,5,5,5,0,0,5,5,10,5,0,0,8,0,8,0,8,5,0,5,0,8,8,5,8,5,8,5,0,3,8,0,0,0,0,0,0,0,0,0,5,5,0,5,0,5,5,5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,5,8,0,8,0,8,3,8,0,0,5,0,8,5,0,0,0,10,10,10,0,10,10,10,0,5,8,5,0,0,0,0,0,5,0,10,10,5,8,5,0,5,10,0,0,5,8,8,8,5,0,5,0,5,0,5,0,0,3,5,8,0,5,5,0,0,8,5,0,5,5,5,5,10,5,0,0,8,0,8,0,8,0,8,8,8,0,0,0,8,3,0,0,8,5,5,0,8,8,0,8,0,8,8,
5,5,0,0,8,8,5,0,8,8,0,8,0,8,0,8,0,0,5,8,0,8,5,8,8,5,0,5,0,5,10,5,5,5,10,0,5,8,8,3,5,5,5,8,8,0,0,8,0,5,5,5,10,0,0,0,0,3,0,8,8,0,8,8,0,5,5,0,5,0,8,8,5,5,5,5,5,0,0,5,0,8,0,8,8,8,0,3,0,8,5,0,5,0,8,8,0,0,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,5,5,0,5,0,5,5,5,0,8,0,0,8,0,8,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,3,8,8,0,8,0,5,5,0,0,5,0,8,5,0,0,0,10,10,10,0,10,10,10,0,0,0,8,8,0,5,8,0,5,0,10,10,5,8,5,5,5,5,5,5,0,0,5,10,5,10,8,5,8,3,3,0,0,3,5,8,0,5,5,8,3,8,8,8,8,5,0,5,10,5,0,0,8,0,8,0,10,5,5,0,5,5,5,5,0,0,3,8,3,0,8,3,3,8,8,3,5,5,5,
3,3,3,8,8,0,5,5,10,10,0,10,0,10,0,10,8,5,0,5,0,5,0,5,0,0,0,0,0,0,0,0,0,8,0,0,0,5,8,5,8,8,8,0,0,0,5,0,8,0,0,8,3,0,5,0,8,0,8,0,0,8,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,10,5,8,5,0,0,0,0,0,0,0,0,0,5,5,0,8,0,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,0,5,8,0,0,0,0,0,0,0,0,10,0,3,0,0,3,0,3,8,3,0,8,0,0,8,0,0,3,0,6,6,3,10,3,8,8,8,0,0,0,5,0,0,0,8,0,8,8,10,0,0,0,0,0,0,0,0,0,0,5,5,8,0,0,0,0,3,6,3,0,0,10,0,10,5,0,8,0,0,8,0,8,0,5,5,5,0,10,0,0,5,5,0,5,10,8,0,5,
10,5,5,8,0,8,8,8,8,0,8,5,0,5,5,5,0,5,0,5,0,5,0,5,0,0,5,8,5,8,8,3,0,0,5,0,0,5,8,0,5,5,5,5,10,0,0,0,0,8,0,8,0,0,0,8,8,0,8,5,0,5,10,10,8,8,5,0,0,5,0,8,3,3,8,3,3,0,10,5,0,5,0,0,8,0,5,0,0,3,0,11,3,8,8,3,0,10,10,0,8,0,10,8,0,5,5,5,5,5,0,0,0,0,5,0,0,0,0,8,0,5,0,0,0,8,5,0,8,3,3,0,0,5,8,10,10,5,5,8,5,11,0,3,5,5,10,0,5,8,8,8,0,8,8,0,0,0,0,5,8,8,8,10,0,10,8,5,5,2,0,5,8,0,10,0,5,0,5,0,5,0,8,0,0,0,0,0,0,0,0,5,5,8,0,3,8,3,0,3,0,0,0,5,5,0,5,5,0,8,8,0,0,8,0,0,0,5,0,10,0,10,0,5,10,0,0,0,5,8,3,8,0,0,0,5,0,5,0,0,5,0,5,0,0,0,3,3,
8,0,0,10,5,5,0,5,5,8,5,3,8,8,3,3,8,8,8,8,8,8,5,0,3,3,3,8,3,0,10,10,5,5,0,5,5,0,5,5,8,0,8,5,8,5,5,5,5,5,5,10,10,0,3,5,5,0,0,3,8,11,8,11,0,0,0,5,5,5,8,5,10,10,0,5,5,0,0,0,0,8,0,3,0,8,0,8,8,0,0,5,0,10,0,5,8,8,8,0,8,5,0,0,5,0,8,8,3,8,5,0,0,8,8,0,0,0,0,5,0,8,5,8,0,5,8,8,10,10,5,8,8,3,5,8,0,8,8,8,3,0,0,0,0,0,8,5,0,0,0,0,8,0,0,5,0,5,0,0,0,5,0,0,0,8,5,0,5,0,0,0,5,0,8,0,3,0,3,5,3,5,10,5,5,0,5,8,0,8,8,3,8,5,0,10,0,10,5,10,8,8,8,0,0,5,0,5,0,5,0,0,8,0,5,8,5,0,5,3,5,3,0,8,8,0,0,8,8,0,10,0,0,0,0,0,0,5,8,5,3,8,8,8,8,0,10,5,
5,0,0,3,8,3,0,3,0,5,8,10,10,0,0,10,0,8,0,0,0,5,3,8,5,5,0,0,0,8,0,8,8,11,8,11,3,3,8,3,8,3,0,3,8,0,8,8,8,0,8,0,0,0,5,5,5,5,5,5,10,0,8,0,5,0,0,3,8,11,5,3,8,8,8,5,5,0,0,5,5,0,8,10,0,0,8,5,5,5,5,0,5,8,0,0,5,5,5,5,5,0,8,0,3,3,8,0,0,5,8,5,5,10,5,0,5,0,8,8,0,5,8,10,0,0,0,5,3,0,5,5,0,2,8,0,0,0,5,0,0,5,8,8,8,3,8,8,8,5,0,5,5,0,0,3,8,3,5,8,0,8,8,0,0,0,0,5,0,5,5,5,5,0,0,0,8,8,0,8,0,0,0,0,0,10,5,10,5,5,5,5,0,0,0,0,5,0,0,0,5,5,5,8,8,3,5,3,0,8,5,0,5,5,3,0,0,8,0,8,8,0,8,8,0,8,8,0,8,0,8,0,0,0,0,8,0,8,5,8,0,0,8,5,0,5,0,5,
0,5,0,0,0,0,5,0,8,10,0,10,5,5,10,10,5,0,5,0,0,0,3,3,5,5,10,5,10,5,3,8,8,3,8,8,8,0,8,8,0,3,8,3,8,8,8,8,0,5,0,8,8,0,10,8,8,5,5,10,5,2,5,2,5,0,0,8,0,3,0,8,8,8,5,0,0,0,0,8,8,8,8,5,8,5,0,5,0,5,5,5,5,5,0,5,5,0,0,0,0,8,0,0,8,0,0,5,10,0,0,5,5,5,0,0,5,0,8,0,0,0,0,5,0,5,8,0,3,0,0,10,5,5,0,5,0,5,10,5,10,5,8,8,8,8,8,8,8,5,0,5,0,0,0,8,8,8,5,8,0,0,8,0,0,8,5,5,0,0,0,5,0,0,0,0,5,5,10,0,10,8,0,8,8,5,5,10,5,10,0,5,8,0,8,5,5,0,5,10,0,0,0,8,8,8,5,8,5,5,5,5,10,0,8,0,8,8,8,5,0,0,8,0,0,0,0,5,0,0,0,0,5,5,0,0,0,8,0,8,8,0,8,0,8,5,5,10,
8,8,0,5,5,10,8,5,0,0,5,8,8,0,0,8,0,0,8,5,0,0,5,5,0,0,0,5,0,5,0,5,0,10,5,10,5,5,5,5,5,10,5,10,10,0,0,5,0,8,0,8,8,0,8,8,0,8,8,0,8,0,0,0,8,0,8,5,0,10,0,10,0,0,0,8,8,0,8,0,0,5,5,0,5,5,0,0,0,8,3,8,8,3,5,8,0,8,0,8,5,0,8,0,5,5,5,0,0,0,0,8,0,0,5,0,8,0,5,8,8,8,8,8,0,8,10,5,2,0,5,8,10,3,3,3,8,8,8,0,0,0,0,5,0,5,5,0,0,8,5,8,0,5,0,10,5,5,0,5,10,5,10,8,0,0,3,3,8,3,0,3,8,0,0,0,0,8,0,0,0,5,8,5,0,8,0,8,0,0,0,0,5,3,0,11,3,8,3,11,0,0,0,0,0,5,8,0,8,0,8,0,8,0,5,5,8,5,8,5,8,5,2,10,0,10,5,5,5,5,5,5,8,8,8,0,8,0,5,5,2,0,10,0,10,3,11,11,
5,0,5,0,5,0,8,0,0,8,0,8,8,0,0,8,0,5,0,5,5,0,5,10,8,8,0,8,0,0,0,0,5,10,5,10,5,5,0,5,0,0,0,0,0,8,5,0,0,8,0,0,0,5,8,0,8,8,8,0,8,0,5,0,0,0,5,5,5,5,8,0,8,8,8,3,3,0,5,5,0,5,5,8,0,0,0,8,8,3,8,11,3,8,5,8,8,0,5,8,8,0,5,8,5,5,0,0,0,8,5,0,8,0,0,0,3,0,10,0,8,0,0,8,0,8,10,0,5,3,0,3,0,8,8,0,5,5,0,0,0,8,5,0,0,5,0,5,0,0,5,5,8,8,0,0,0,5,8,0,0,0,5,5,0,10,3,8,0,5,0,0,8,5,5,0,5,0,0,5,0,5,8,5,5,8,8,8,0,8,8,0,10,8,0,11,3,3,8,11,8,8,8,5,5,5,0,10,8,0,8,0,8,8,10,0,8,0,8,0,3,5,10,5,5,5,5,0,5,0,8,8,8,0,8,10,0,10,0,10,2,0,10,8,5,3,11,6,
5,0,5,3,0,8,8,8,3,0,8,5,8,10,5,5,5,0,8,5,0,0,8,0,5,5,5,0,5,0,8,8,5,10,10,10,10,5,8,0,5,0,5,0,5,8,8,8,8,8,0,8,8,5,0,8,8,0,8,10,0,10,5,10,0,5,5,5,0,5,0,0,8,8,0,3,3,0,0,0,8,5,0,0,0,5,5,5,0,8,8,3,8,3,5,8,0,0,5,0,5,0,0,0,5,5,5,0,5,8,0,8,5,5,5,0,8,0,5,8,0,5,0,8,0,3,10,0,5,3,0,0,5,0,11,8,0,0,5,0,5,0,8,8,0,0,0,8,8,8,5,0,0,8,8,8,8,8,5,0,5,8,0,0,0,5,3,0,8,0,0,0,8,5,5,5,0,8,5,0,5,5,8,5,0,0,5,5,5,5,0,5,10,3,0,11,8,3,3,11,0,0,0,0,0,5,0,0,0,0,0,0,0,8,0,0,8,0,8,5,3,10,5,5,10,5,5,0,5,8,3,8,0,0,8,5,0,0,5,5,2,0,5,0,5,3,11,11,
0,0,0,0,8,0,0,8,5,0,0,0,5,8,8,0,8,0,0,0,0,5,0,0,0,0,8,0,8,3,5,8,8,3,8,3,8,8,0,0,8,0,0,0,0,5,0,0,0,0,8,5,5,8,0,5,5,0,0,8,5,3,8,8,0,8,0,8,0,8,0,8,0,0,8,5,5,0,5,5,5,0,8,5,0,8,0,0,10,5,10,0,5,8,3,8,5,10,5,5,0,0,0,8,8,3,0,8,8,5,3,8,0,0,0,0,5,0,8,0,5,0,8,5,0,0,8,5,3,0,8,8,3,5,5,0,5,0,0,8,8,8,0,8,0,8,0,0,5,0,8,0,10,10,5,0,5,8,0,0,8,0,8,5,0,0,5,5,5,10,0,5,5,8,5,0,8,8,8,3,8,8,0,8,0,5,0,0,8,0,5,0,8,5,0,10,5,5,5,5,10,10,10,5,5,8,0,8,0,3,0,0,0,10,3,5,5,0,5,8,5,8,8,8,8,8,3,0,8,0,5,5,0,0,10,3,0,8,5,3,3,0,8,5,8,10,10,10,
0,0,0,5,5,0,5,5,5,5,10,5,10,5,3,8,5,5,5,0,10,0,8,0,5,5,0,5,10,8,0,5,5,0,10,8,0,0,8,3,0,3,0,8,8,0,8,8,10,0,5,8,0,8,8,8,0,5,0,10,10,5,8,5,0,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,0,0,0,5,5,0,8,8,0,5,5,0,5,0,8,8,0,10,0,5,5,0,5,5,3,8,8,8,3,0,10,0,0,5,8,10,5,0,5,5,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,0,5,5,5,10,0,0,0,10,0,10,0,7,3,3,3,8,3,8,3,3,8,0,8,5,0,5,5,5,5,8,0,0,5,0,0,0,5,5,5,0,0,10,8,5,0,8,8,3,3,8,0,8,5,0,0,10,0,0,8,5,3,8,8,0,8,8,3,8,3,5,8,8,0,5,0,0,5,0,5,5,0,8,0,0,8,0,5,0,5,0,8,8,8,10,0,5,5,0,8,0,8,0,8,
0,0,0,8,8,0,8,8,8,8,3,8,3,8,10,5,8,8,8,0,3,0,5,0,5,5,0,5,10,8,0,5,8,0,3,5,0,0,5,10,0,10,0,5,5,0,5,5,3,0,8,5,0,5,5,5,0,8,0,3,3,8,5,8,0,8,8,0,8,0,5,5,0,0,0,0,0,0,0,0,0,0,0,8,8,0,5,5,0,5,5,0,5,0,8,8,0,3,0,8,8,0,8,8,3,8,8,8,3,0,10,0,0,5,8,10,5,0,5,5,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,0,5,8,5,0,0,0,0,0,8,8,8,3,0,0,0,10,0,10,0,0,10,3,3,5,10,5,10,10,5,0,5,8,0,8,8,8,8,5,0,0,5,0,0,0,5,5,5,0,0,3,5,8,0,5,5,10,10,5,0,5,8,0,0,3,0,0,5,8,10,5,5,0,5,5,10,5,10,8,5,8,0,5,0,0,5,0,5,8,0,5,0,0,5,0,8,0,8,0,5,5,5,3,0,8,8,0,5,0,5,0,5,
5,0,0,8,0,3,5,0,5,5,10,5,10,5,3,8,0,5,5,5,10,0,0,0,8,8,0,8,3,5,0,8,8,8,0,0,8,5,5,0,8,3,3,0,8,0,0,5,0,8,5,8,0,0,0,0,0,0,0,5,5,0,8,5,0,8,8,0,8,0,5,5,0,0,0,0,0,0,0,0,0,5,0,5,5,8,0,0,0,8,8,0,8,0,5,5,5,5,0,8,0,8,0,8,10,5,5,5,10,0,3,0,0,8,5,3,8,0,8,8,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,0,5,8,5,0,0,0,0,10,5,10,0,10,8,8,8,3,0,0,0,3,0,10,10,5,10,5,10,10,5,0,5,0,5,5,10,5,10,8,5,0,8,0,0,0,8,8,8,0,0,5,0,5,8,0,0,0,8,5,0,5,0,8,8,10,0,0,8,5,3,8,8,8,0,3,0,8,0,10,5,5,0,8,0,0,8,0,8,0,5,8,5,0,0,10,10,5,5,0,0,5,8,5,0,5,0,5,3,0,8,0,8,
5,5,0,5,10,8,0,5,0,0,0,0,0,0,0,0,0,5,0,5,5,5,0,0,0,0,0,0,0,0,0,0,5,0,0,0,8,0,0,8,0,8,8,0,8,0,5,5,5,5,10,0,5,5,8,0,0,8,8,0,5,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,10,5,0,5,5,0,3,3,0,3,0,10,10,10,10,5,5,10,8,8,8,0,0,0,0,0,0,0,0,0,3,10,6,3,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,8,5,8,0,0,6,0,3,0,3,10,7,7,0,0,0,0,0,0,0,0,5,0,5,0,0,5,3,8,0,3,0,0,0,3,3,3,5,0,5,0,10,8,3,8,0,0,0,5,5,0,8,8,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,8,0,0,0,0,0,0,0,0,8,0,3,5,0,0,5,10,0,0,5,8,0,8,5,8,0,8,0,3,0,8,8,8,
8,0,5,0,0,5,0,8,8,8,3,8,3,8,10,5,5,8,0,8,0,8,3,8,8,8,0,8,3,5,0,8,0,5,5,8,0,0,0,0,0,0,5,3,8,8,0,3,5,0,0,8,0,3,8,3,8,0,5,0,0,5,0,8,0,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,8,3,8,8,8,5,8,0,0,5,5,0,5,0,8,8,8,0,0,5,0,10,5,10,10,5,5,5,10,0,3,0,0,5,8,10,5,0,5,5,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,8,0,0,0,8,0,0,8,10,0,3,0,0,3,3,3,8,3,8,3,3,8,0,8,8,8,8,0,0,0,5,0,0,5,0,0,0,5,5,5,8,8,8,3,3,0,5,0,8,0,0,8,3,0,5,0,3,0,0,5,8,10,5,5,5,8,0,8,0,8,3,8,5,0,8,0,0,8,0,8,5,8,5,8,5,0,3,8,8,5,0,5,0,5,0,5,0,0,3,5,8,0,5,5,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,0,10,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,3,7,10,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,3,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,7,6,6,6,3,6,3,6,6,3,0,3,0,0,0,0,0,0,0,0,0,10,0,0,0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,5,5,0,5,5,8,8,3,8,3,8,10,5,5,5,5,0,10,0,8,0,8,8,0,8,3,5,0,8,5,0,10,8,0,0,8,3,0,3,0,8,8,0,8,8,10,0,5,8,0,8,8,8,0,5,0,10,10,5,8,5,0,5,5,0,5,0,8,8,0,0,0,0,0,0,0,0,0,0,0,5,5,0,8,8,0,5,5,0,5,0,8,8,0,10,0,5,5,0,5,5,10,5,5,5,10,0,3,0,0,5,8,10,5,0,5,5,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,0,8,5,8,0,0,0,0,0,5,5,5,10,0,0,0,10,0,3,0,0,3,3,3,8,3,8,3,3,8,0,8,5,0,5,5,5,5,8,0,0,5,0,0,0,5,5,5,0,0,10,8,5,0,8,8,3,3,8,0,8,5,0,0,3,0,0,5,8,10,5,5,0,8,8,3,8,3,5,8,5,0,8,0,0,8,0,8,5,0,8,0,0,8,0,5,0,5,0,8,8,8,10,0,5,5,0,8,0,8,0,8,
0,0,0,0,0,0,0,0,10,10,7,10,7,10,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,3,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,3,6,6,3,0,3,0,0,0,0,0,0,0,0,0,10,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,10,7,10,7,7,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,3,10,6,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,8,5,8,0,0,8,8,8,0,0,0,8,5,5,0,0,0,8,5,5,0,0,5,0,0,8,0,8,8,5,0,5,0,0,0,8,8,0,8,0,5,5,5,5,0,0,0,5,2,5,10,5,8,10,0,8,5,5,8,0,5,0,5,8,0,0,5,0,10,0,5,10,10,5,5,5,0,0,8,5,0,5,8,0,0,3,8,8,3,3,3,3,8,5,8,0,5,5,0,5,5,0,0,8,8,0,0,5,0,8,0,0,8,0,0,10,0,3,0,8,0,3,5,0,8,10,10,5,3,5,8,5,8,3,8,0,0,0,0,5,8,0,0,0,0,0,0,0,8,5,0,8,8,0,8,8,0,0,8,5,0,5,0,0,5,3,8,0,0,0,3,8,8,5,0,8,5,8,5,8,0,10,0,5,0,0,0,0,0,0,0,0,0,8,5,5,8,0,5,5,5,5,0,0,8,0,8,3,8,0,0,0,5,0,0,5,8,5,3,5,3,3,3,0,5,0,0,0,0,0,0,3,8,3,0,8,5,5,5,0,5,0,0,8,0,5,5,
0,8,3,0,8,0,5,5,10,0,0,0,10,3,8,0,0,0,5,0,0,5,0,0,5,5,5,5,5,5,8,0,0,5,5,5,5,5,0,0,8,3,8,8,0,0,0,0,0,0,0,8,0,8,0,0,10,5,5,0,5,8,8,8,5,0,8,3,8,11,5,8,3,3,8,0,0,0,5,5,8,0,0,0,0,5,5,5,0,5,0,5,5,0,5,5,5,0,5,0,0,8,8,8,10,5,5,8,8,8,0,3,8,8,3,0,3,0,10,10,5,0,5,3,0,8,0,8,0,10,5,5,5,10,8,5,8,8,0,0,8,10,8,0,8,8,0,0,0,5,8,5,0,0,0,5,5,5,8,5,8,0,0,5,0,5,0,0,0,5,5,10,5,5,0,0,0,0,5,0,5,0,0,0,8,0,8,0,0,0,5,5,8,0,5,0,0,10,0,0,0,0,0,5,5,10,0,5,10,10,0,0,8,3,5,0,0,5,0,10,5,5,0,5,8,8,0,5,5,10,8,5,10,5,5,5,5,8,0,5,8,8,8,5,5,5,0,5,
8,5,5,0,5,0,8,8,3,5,0,5,8,10,5,5,0,8,8,8,8,8,0,8,0,0,8,0,8,0,5,5,0,0,8,8,8,8,5,0,8,0,8,0,8,0,10,0,8,3,8,8,3,5,0,0,8,3,8,0,8,5,0,0,0,5,0,5,0,5,0,5,0,0,8,8,8,0,5,5,5,0,5,0,5,8,8,8,0,5,0,10,5,5,0,5,8,0,8,0,8,0,5,0,8,0,0,5,5,5,0,5,10,10,10,0,5,0,8,3,0,0,0,5,0,5,8,0,3,3,11,8,3,8,2,10,8,5,8,10,5,5,10,2,5,5,0,10,10,0,8,5,0,0,8,0,8,8,10,0,0,0,3,5,0,8,5,10,0,0,8,0,0,0,0,0,5,0,8,0,8,0,8,0,0,0,5,0,0,0,0,8,5,0,0,8,0,3,8,8,0,0,0,5,5,8,0,5,8,8,0,8,0,5,0,0,0,0,0,8,8,0,5,0,5,5,0,8,3,3,10,0,8,8,0,8,0,0,8,8,10,10,10,0,5,8,8,8,
0,5,5,8,0,8,0,8,0,5,10,8,8,0,0,8,10,0,0,3,0,8,3,8,8,8,0,5,0,5,0,5,8,8,3,0,8,0,5,5,0,5,8,5,0,0,5,5,0,8,8,0,8,5,8,0,8,3,8,0,8,0,0,0,8,5,5,5,8,10,5,0,0,0,0,8,8,0,0,0,0,8,0,0,0,0,8,8,0,0,0,5,0,5,8,0,0,0,8,8,8,0,5,0,8,8,8,0,0,0,0,5,5,5,10,0,5,0,8,3,5,10,5,5,0,0,8,8,3,3,3,0,11,5,10,5,0,0,8,0,0,8,5,5,0,5,0,5,5,0,0,0,0,10,5,5,0,0,5,8,5,10,0,0,0,3,5,0,5,8,8,3,8,3,0,8,5,0,0,0,0,0,8,0,0,0,8,10,0,8,5,5,0,0,8,0,8,0,0,0,0,0,0,0,0,8,0,0,8,0,0,5,5,10,0,5,0,8,0,8,3,5,8,8,5,0,0,8,8,3,0,8,8,0,0,8,8,0,0,8,5,0,5,8,0,8,0,8,
5,0,0,5,5,0,0,5,0,8,8,0,0,0,0,0,8,0,0,5,0,0,5,5,8,8,0,3,0,0,0,0,8,0,5,0,10,0,8,5,5,0,5,0,0,0,8,0,5,10,10,5,10,0,0,0,0,10,5,0,0,0,5,0,0,8,0,0,5,0,8,0,5,5,5,5,5,0,8,8,0,10,3,2,5,0,10,10,10,0,5,3,0,11,8,3,8,8,0,0,0,5,0,5,0,5,8,5,0,0,10,10,8,8,8,0,0,0,0,5,3,8,0,0,0,5,5,0,5,0,5,8,5,8,3,11,5,0,5,8,0,8,8,3,0,0,0,8,3,0,5,8,10,5,5,8,5,8,8,0,0,8,5,8,0,5,8,8,0,0,5,0,0,5,8,0,8,8,0,3,0,8,0,8,5,0,5,8,5,0,3,8,0,0,0,0,0,0,5,5,3,3,3,3,3,0,5,0,0,8,0,0,0,0,8,0,0,0,0,0,5,8,0,0,0,0,5,0,5,5,8,8,0,0,0,0,0,0,5,0,8,8,8,8,8,0,0,0,
0,8,0,0,0,5,0,5,0,3,8,8,8,0,8,8,0,5,0,10,5,0,5,5,5,5,5,0,5,0,8,8,0,0,5,0,0,0,8,8,5,0,5,0,5,8,8,8,5,2,10,10,10,8,5,0,0,10,5,8,0,0,0,0,0,0,0,5,5,5,8,5,5,5,10,0,0,0,0,3,0,5,0,5,0,5,0,5,0,8,8,3,8,3,5,8,0,0,5,0,5,0,0,0,8,8,8,0,8,5,0,5,8,8,8,0,5,0,8,5,3,8,3,5,0,0,10,10,2,0,10,3,5,3,11,11,0,8,0,8,8,0,8,8,0,0,0,8,8,8,5,0,0,8,0,8,0,0,8,0,0,8,5,0,0,10,3,8,8,0,0,0,8,5,5,5,0,5,5,0,5,8,5,8,0,8,0,8,0,5,8,0,0,5,5,10,5,10,0,5,0,0,0,8,8,8,5,8,8,8,0,0,5,0,8,0,0,0,0,5,10,8,8,0,0,5,5,5,10,5,8,0,8,8,3,0,8,0,5,0,3,8,3,0,8,0,10,5,
0,8,0,0,0,0,0,5,8,8,0,8,3,5,5,8,0,0,8,0,0,8,5,5,8,8,8,8,8,0,5,5,8,8,0,8,0,8,0,0,0,0,0,5,0,0,0,0,5,10,10,5,5,0,0,8,8,5,0,0,8,5,5,5,0,5,5,10,5,10,8,5,10,10,5,0,0,0,0,8,5,5,8,10,5,0,0,5,5,0,0,8,0,3,0,8,8,8,0,0,0,5,0,0,3,0,8,10,5,10,5,2,8,0,0,0,5,0,8,0,3,0,8,10,0,5,5,5,5,3,8,8,0,3,3,3,0,0,5,0,5,0,8,8,0,0,8,0,8,8,5,0,5,5,5,0,5,0,8,0,0,0,5,0,0,5,8,8,0,0,0,0,0,5,0,5,3,8,8,8,8,0,5,0,5,8,0,8,0,8,8,8,0,8,8,0,0,8,0,5,8,8,8,3,3,3,10,8,3,3,0,0,5,10,3,0,5,0,5,8,5,8,8,8,0,0,5,8,5,0,8,8,3,3,3,3,3,0,5,8,0,0,0,8,8,8,0,0,
8,0,0,0,0,0,0,8,8,5,8,10,5,5,5,10,8,8,0,0,0,0,0,8,5,5,8,0,8,8,5,0,10,5,0,0,0,8,0,8,8,0,0,0,0,5,5,0,3,3,3,8,3,5,5,5,0,8,0,5,5,5,8,0,8,8,3,8,8,0,5,5,8,8,3,0,0,0,5,10,0,8,5,3,0,8,8,8,8,0,8,10,0,10,0,5,0,10,0,5,0,5,5,5,5,0,5,8,5,3,8,3,5,0,5,0,0,0,0,8,5,8,0,8,0,0,8,0,3,0,0,0,0,0,10,10,8,0,8,5,5,0,5,10,5,0,5,5,10,0,3,0,8,3,8,3,3,8,5,8,8,8,3,5,0,0,5,10,5,5,0,8,0,3,0,8,0,0,8,5,8,5,0,5,0,5,5,0,0,5,0,8,5,0,0,8,5,3,8,8,5,5,5,10,10,5,8,5,5,5,5,8,8,8,5,8,8,8,8,3,3,8,10,0,8,0,8,0,3,0,10,5,5,5,5,5,10,0,8,5,10,10,5,5,5,0,8,0,
5,0,0,8,8,8,0,8,0,5,10,8,8,0,0,8,8,0,0,5,0,5,0,0,3,3,0,0,0,5,0,5,8,0,8,5,0,5,5,10,0,5,8,5,0,8,5,0,5,5,0,0,5,8,8,8,5,5,0,5,5,8,0,5,0,8,3,8,0,8,0,5,8,8,8,0,0,0,5,5,0,0,0,0,0,0,0,8,8,8,0,8,8,5,0,0,8,3,8,3,3,0,0,0,8,8,0,0,0,5,8,0,8,0,0,0,0,0,0,0,10,10,5,8,0,3,0,8,5,0,0,3,0,11,5,3,8,8,0,0,0,5,8,0,0,5,8,5,5,8,5,5,8,11,3,3,3,8,5,0,8,3,0,8,0,5,0,0,5,8,5,8,0,0,3,3,8,8,0,8,0,0,0,0,0,5,5,0,0,5,0,0,2,10,2,0,2,3,8,3,8,8,8,5,5,5,0,10,8,5,0,0,0,5,5,5,5,0,5,0,0,5,3,8,0,8,8,0,0,0,8,0,8,8,8,8,8,8,0,0,0,10,8,10,0,5,0,0,
8,5,8,5,0,0,10,10,0,5,0,5,5,0,5,5,8,3,3,8,8,8,5,5,5,5,8,5,8,8,5,0,0,0,0,0,8,0,0,8,0,8,0,8,0,0,0,5,0,0,5,0,0,5,8,0,0,0,0,0,8,0,0,8,0,0,5,5,5,5,8,0,0,0,5,8,8,0,8,8,0,0,5,0,0,5,8,0,10,10,5,10,10,8,8,0,2,2,10,5,2,3,8,3,5,5,8,0,8,8,10,5,0,8,8,0,0,0,0,5,3,0,0,5,0,5,5,0,0,10,5,5,0,5,5,10,5,5,5,0,5,8,0,8,8,0,5,0,8,10,0,0,10,10,5,0,5,8,0,0,0,0,0,5,0,5,8,0,3,0,3,0,8,8,7,10,5,10,5,10,5,0,5,0,10,0,5,8,5,3,8,3,0,0,0,0,0,0,0,5,10,10,10,0,0,8,8,3,0,8,8,5,0,0,0,5,0,0,0,8,8,0,5,0,0,8,5,8,0,8,0,8,0,5,5,5,0,5,5,0,0,0,0,8,0,8,0,0,
5,8,5,0,5,0,3,8,0,8,8,0,0,0,3,0,2,2,2,5,5,0,3,3,5,5,10,0,10,0,3,3,5,0,0,8,0,8,0,0,8,0,0,0,8,5,5,0,0,5,5,0,5,0,0,8,0,10,0,10,5,5,5,10,0,5,0,0,8,0,5,0,5,5,8,5,5,0,5,5,5,0,0,8,0,3,0,8,0,8,0,3,8,8,0,8,8,0,8,5,0,5,0,5,0,5,5,5,10,0,0,0,8,0,0,0,8,0,5,0,0,8,0,0,0,5,8,0,8,3,8,5,5,5,0,5,8,3,8,8,3,5,8,0,5,0,0,5,5,0,8,0,0,5,0,5,0,0,5,0,0,5,5,8,0,8,5,8,0,0,0,0,5,0,8,0,11,3,3,0,3,10,5,10,11,8,8,10,0,2,0,2,8,0,8,0,3,5,5,0,0,0,0,5,5,0,0,5,0,0,5,3,8,0,0,8,8,0,8,10,5,0,0,5,0,5,0,0,0,5,0,0,0,8,0,8,5,8,8,0,0,8,5,8,0,0,0,8,
8,8,0,0,8,5,0,0,0,0,8,5,5,0,8,5,10,10,5,5,5,0,8,8,0,0,5,8,5,5,8,0,0,0,0,8,0,8,0,0,8,0,5,8,0,5,0,0,8,0,0,0,0,0,0,8,0,5,8,10,5,5,0,10,0,5,5,5,0,5,0,0,5,5,0,0,0,0,0,0,5,5,0,5,5,8,0,0,3,8,8,0,8,10,5,5,6,11,3,8,11,10,10,10,5,0,10,8,5,8,3,11,8,8,8,0,8,0,5,5,0,8,3,5,0,0,0,10,11,3,3,0,8,10,5,5,0,8,0,8,8,0,8,8,0,8,5,0,5,5,8,0,3,8,8,5,8,5,5,0,0,5,5,0,0,0,0,8,5,0,5,0,0,10,11,8,3,3,8,3,8,0,0,0,3,8,8,5,8,10,5,10,8,0,8,5,8,5,0,0,3,3,3,8,8,8,5,5,0,0,0,8,8,8,5,8,8,0,8,5,0,0,5,5,8,0,8,0,0,0,5,5,0,0,0,5,5,5,8,5,0,0,5,0,0,0,5,0,
0,0,0,8,0,8,0,8,5,8,5,3,8,8,0,3,0,0,5,0,5,0,0,0,0,0,0,5,0,5,0,5,8,0,5,0,0,5,5,0,5,5,0,10,5,0,8,0,0,8,3,0,3,0,10,10,8,11,5,11,8,0,8,3,8,3,8,8,0,0,0,0,0,0,0,5,5,0,8,0,0,0,0,0,0,5,5,5,0,5,0,5,5,0,5,5,5,0,5,0,0,0,8,8,8,0,0,5,0,10,0,5,10,5,10,0,10,0,3,3,5,5,5,8,0,8,0,8,5,0,5,8,0,3,3,3,5,10,0,5,0,0,10,5,0,0,8,8,8,3,5,8,0,8,0,0,5,5,3,5,0,8,3,5,0,0,0,10,5,5,5,5,5,0,0,0,10,5,0,0,0,8,8,8,0,0,8,0,0,0,0,0,5,0,5,0,10,0,8,0,0,0,0,8,8,5,0,8,0,0,0,10,5,5,8,0,0,8,0,8,8,0,8,8,0,0,0,0,8,0,0,0,0,5,0,0,8,5,5,0,0,0,3,5,0,0,0,5,
0,5,8,0,8,8,5,0,5,0,10,3,8,8,0,3,8,0,0,5,0,5,5,5,8,8,0,5,0,5,0,5,0,0,8,10,5,0,0,5,0,0,8,5,0,8,0,0,5,8,8,8,8,8,0,0,0,3,0,3,8,8,0,8,5,8,8,8,5,3,8,0,8,8,8,0,0,0,0,5,8,8,8,0,0,5,8,0,0,0,0,5,0,5,8,0,5,0,5,8,0,0,8,8,8,8,8,0,0,0,0,5,5,5,0,0,5,0,8,0,5,10,5,8,0,3,5,8,10,10,0,0,5,11,0,8,0,0,8,0,0,8,5,5,8,0,3,0,8,8,10,5,0,3,0,11,8,8,8,8,0,3,8,0,0,5,8,5,5,0,5,8,0,8,0,8,5,5,0,0,0,8,0,8,0,0,0,8,0,0,0,0,10,5,2,0,2,8,8,8,0,0,0,0,0,5,0,0,8,0,8,5,0,5,0,5,5,5,5,5,0,10,8,0,0,3,8,8,8,8,0,0,8,8,8,8,3,0,5,0,8,5,3,10,0,5,0,5,
0,8,8,8,8,8,0,8,0,8,5,3,3,0,8,3,5,5,10,5,5,5,8,8,0,0,5,5,5,10,8,5,0,5,0,5,5,0,5,5,5,10,0,10,0,8,0,8,0,0,8,8,8,8,5,0,5,0,5,0,5,0,8,0,0,3,8,3,0,3,0,8,0,0,8,10,10,0,8,5,0,0,0,0,5,0,0,0,8,0,8,5,0,5,5,5,8,8,0,8,3,5,0,0,3,8,0,5,5,10,8,5,0,5,5,0,5,0,8,8,10,5,5,3,0,3,0,8,0,3,3,3,8,11,0,8,5,0,0,8,8,8,0,8,5,5,3,0,0,11,10,0,8,3,8,8,8,0,0,0,8,8,8,5,0,5,0,5,10,5,10,0,5,0,3,3,8,8,8,8,8,0,0,0,3,0,8,5,0,10,5,10,5,5,10,0,10,0,8,8,8,8,8,0,0,10,8,5,8,8,8,5,0,5,0,0,0,0,0,5,0,5,8,0,8,8,8,0,8,5,0,5,8,0,0,0,8,10,0,0,0,5,8,10,5,5,0,5,
5,5,5,5,5,0,0,0,8,0,8,5,0,5,0,5,0,0,0,0,0,0,8,0,0,0,0,8,0,3,0,3,0,0,5,8,8,5,0,0,0,0,0,0,0,0,5,0,0,5,5,5,10,5,8,0,0,10,0,10,5,0,5,5,8,5,8,0,3,5,10,5,8,8,8,8,8,0,10,5,5,5,5,8,8,8,5,8,5,0,10,3,0,8,8,8,5,5,0,5,10,8,8,0,0,5,0,5,0,5,5,5,8,8,0,0,0,0,0,0,8,8,0,0,0,5,0,0,0,0,5,5,0,5,5,0,3,8,0,5,0,2,8,5,5,5,5,5,5,0,8,0,5,10,0,10,5,0,5,5,5,5,10,3,0,8,0,3,3,8,8,0,0,0,5,5,8,0,0,5,0,5,5,5,5,5,5,5,5,0,8,0,8,0,3,0,3,0,10,5,5,5,5,10,10,0,0,5,0,5,10,3,0,0,0,0,8,8,8,8,8,8,5,0,0,0,0,0,0,0,0,8,0,8,8,8,5,11,0,0,0,8,5,3,8,0,0,8,
8,8,0,0,5,5,5,10,0,0,0,0,0,0,0,0,8,0,3,10,5,0,0,5,0,0,0,0,0,0,0,0,5,2,10,0,5,8,5,0,8,0,0,10,5,10,0,2,0,5,3,5,8,8,10,10,8,5,3,10,8,5,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,11,3,8,11,5,0,0,0,0,0,0,0,0,0,0,10,5,10,5,2,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,10,8,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,8,8,0,8,8,8,0,0,0,0,0,0,0,0,3,8,3,0,0,8,5,5,10,10,5,8,0,8,5,8,0,0,0,0,0,0,0,0,3,3,11,5,0,5,5,2,0,0,0,0,0,0,0,0,0,3,11,8,3,8,5,5,10,5,0,0,10,8,8,5,8,0,0,5,0,0,5,10,
10,5,10,5,5,8,3,3,0,0,0,0,0,0,0,0,2,5,10,0,5,8,8,3,0,0,0,0,0,0,0,0,8,8,0,5,0,2,3,5,5,8,8,8,5,3,0,8,5,0,0,0,5,0,0,8,10,0,5,8,0,8,11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,5,0,2,8,3,0,0,0,0,0,0,0,0,0,8,5,5,5,8,10,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,0,8,0,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,11,8,8,3,0,0,0,0,0,0,0,0,0,0,0,2,10,10,8,0,3,8,3,0,8,0,8,5,8,3,0,0,0,0,0,0,0,0,0,8,0,5,3,3,5,0,8,0,0,0,0,0,0,0,0,0,5,10,10,10,5,8,5,5,10,5,10,0,5,0,8,3,3,8,8,3,5,5,8,
0,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,3,10,0,10,0,0,0,0,0,0,0,0,0,0,3,0,3,3,10,0,0,0,10,0,0,0,3,3,0,0,10,0,0,0,0,0,0,0,0,10,10,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,0,3,0,7,10,0,0,0,0,0,0,0,0,0,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,10,10,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,10,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,3,10,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,10,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,10,3,0,3,0,6,3,3,0,3,0,0,3,0,0,0,0,10,
8,8,3,3,11,8,2,0,0,0,0,0,0,0,0,0,8,3,0,3,8,0,3,8,0,0,0,0,0,0,0,0,8,8,3,3,11,8,2,0,5,10,10,10,5,10,3,8,3,8,0,5,8,2,0,10,5,5,0,0,5,8,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,3,5,8,5,10,10,0,0,0,0,0,0,0,0,0,11,3,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,0,10,0,2,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,8,0,8,5,8,0,0,0,0,0,0,0,0,3,11,3,3,3,5,5,5,0,10,8,2,0,5,5,5,0,0,0,0,0,0,0,0,10,0,8,8,0,11,5,8,0,0,0,0,0,0,0,0,10,10,5,8,0,8,5,8,3,8,3,3,3,8,2,5,5,0,0,5,10,0,11,0,
3,0,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,2,5,5,0,0,10,0,0,0,0,0,0,0,0,0,5,5,5,5,2,0,3,8,0,8,3,3,3,8,5,5,0,8,8,11,3,3,0,3,3,0,0,8,8,0,5,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,10,8,0,8,3,11,0,0,0,0,0,0,0,0,0,10,8,10,5,5,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,0,8,0,11,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,10,5,5,0,0,0,0,0,0,0,0,10,10,5,10,2,8,0,0,8,8,0,8,0,8,10,5,0,0,0,0,0,0,0,0,0,0,5,10,5,2,3,0,0,0,0,0,0,0,0,0,0,0,8,10,5,5,3,0,0,8,8,10,5,0,8,5,10,5,5,0,5,3,5,8,
0,5,5,5,10,0,0,10,0,0,0,0,0,0,0,0,5,10,8,5,5,8,5,0,0,0,0,0,0,0,0,0,0,10,5,10,2,5,0,10,8,3,8,8,8,5,5,10,8,8,11,8,8,3,10,5,3,0,8,0,11,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,5,8,8,0,3,8,0,0,0,0,0,0,0,0,2,2,10,5,10,8,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,8,8,5,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,0,8,10,8,5,0,0,0,0,0,0,0,0,5,10,5,5,2,8,8,0,8,0,0,3,8,0,10,5,0,0,0,0,0,0,0,0,8,3,0,0,5,10,3,5,0,0,0,0,0,0,0,0,3,8,11,10,8,10,5,2,5,5,0,10,5,5,8,10,0,5,0,5,8,8,10,0,
11,3,8,8,8,5,5,10,0,0,0,0,0,0,0,0,0,10,8,5,0,8,5,5,0,0,0,0,0,0,0,0,5,2,5,10,10,0,5,0,0,0,5,8,0,5,8,5,8,0,8,3,3,8,10,5,11,8,11,0,3,0,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,8,0,3,8,0,8,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,8,5,5,3,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,5,8,5,10,10,0,0,0,0,0,0,0,0,8,5,8,5,5,0,10,5,8,0,8,8,8,8,2,0,0,0,0,0,0,0,0,0,8,3,8,5,5,5,8,0,0,0,0,0,0,0,0,0,0,8,3,5,8,5,0,0,5,0,0,0,5,3,0,5,5,5,0,0,5,11,5,0,
10,8,0,8,5,8,3,3,0,0,0,0,0,0,0,0,8,8,0,10,5,2,8,10,0,0,0,0,0,0,0,0,8,8,0,8,3,8,0,8,5,5,5,5,5,3,0,8,5,10,10,10,5,0,0,8,10,0,5,5,10,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,8,3,8,8,10,0,0,0,0,0,0,0,0,0,8,8,5,8,5,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,5,10,11,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,5,5,10,3,3,3,0,0,0,0,0,0,0,0,8,3,0,8,3,0,8,3,10,8,0,8,8,8,3,3,0,0,0,0,0,0,0,0,8,0,8,0,3,8,10,5,0,0,0,0,0,0,0,0,0,8,0,3,0,11,5,8,5,0,5,3,0,8,3,11,3,0,8,5,0,2,5,2,
5,8,0,8,0,0,8,0,5,3,8,8,0,8,8,8,3,3,3,8,3,0,5,0,5,5,5,0,5,0,8,8,0,0,3,5,0,0,0,5,0,0,8,8,8,8,5,0,5,10,10,0,10,8,3,3,10,2,0,10,5,8,0,5,8,0,0,0,8,5,5,0,0,0,8,0,0,0,0,5,8,8,0,0,0,0,8,8,0,5,5,5,5,5,0,5,0,0,8,8,8,8,5,0,0,5,5,5,5,5,0,0,10,0,5,0,10,0,3,8,8,8,8,0,0,0,5,5,8,0,0,10,0,5,8,0,0,5,8,5,8,5,10,10,0,5,0,5,5,5,0,5,0,5,5,10,10,10,3,5,10,5,0,0,0,8,8,0,0,8,8,8,8,8,0,8,5,5,8,0,8,8,0,8,5,5,10,8,0,8,0,3,10,5,10,8,5,3,8,3,0,0,0,8,8,0,5,8,0,0,8,0,0,0,5,5,3,8,3,0,3,0,10,5,5,5,5,5,10,5,3,0,0,0,5,0,0,0,8,8,5,10,5,5,5,0,8,8,
0,5,5,5,5,5,8,0,8,5,5,0,8,5,0,0,0,5,0,0,0,0,5,5,0,0,0,5,0,5,0,5,5,8,0,0,5,8,3,8,8,3,0,8,0,5,8,0,0,3,8,0,8,0,5,5,3,11,8,11,3,0,5,8,8,3,8,8,0,0,0,0,0,0,0,5,5,0,8,0,8,8,3,0,8,0,0,5,0,5,0,5,5,0,5,5,0,0,0,5,5,5,0,5,8,0,0,5,0,10,0,5,3,8,0,0,0,0,0,0,5,5,5,8,0,8,0,8,8,3,8,11,3,3,10,0,5,0,10,8,0,0,3,11,8,3,0,8,8,5,8,0,0,8,3,0,8,8,10,5,3,8,0,5,0,10,0,0,0,0,0,0,0,0,0,5,3,8,0,0,0,5,5,5,0,8,8,8,8,8,0,0,3,3,3,0,3,5,5,5,0,0,0,5,5,5,3,5,5,5,5,8,0,8,8,8,0,8,0,8,8,0,8,8,5,5,0,0,0,8,5,0,5,8,8,8,0,3,0,0,8,3,0,8,8,0,0,0,
0,5,0,0,8,8,10,0,0,8,8,0,0,0,0,0,0,0,0,5,5,0,8,0,5,5,0,0,0,0,0,0,3,0,5,8,3,10,10,5,0,5,0,5,5,0,5,5,0,5,0,5,5,5,8,0,0,5,0,10,5,0,0,5,10,5,10,0,5,3,8,3,5,5,5,5,5,0,8,8,10,10,10,0,0,0,5,8,0,8,3,0,8,8,0,8,0,8,0,8,0,8,8,8,0,8,8,8,0,3,0,0,5,10,0,0,8,0,5,0,0,8,0,0,0,5,8,0,5,0,8,5,5,5,3,5,5,0,8,8,0,11,5,0,0,5,5,5,5,0,0,0,0,5,10,8,0,0,8,3,0,5,8,5,0,8,5,5,8,8,0,0,0,5,0,0,5,0,0,0,0,0,8,0,5,5,5,5,5,5,8,0,10,10,5,5,10,8,0,0,0,0,0,8,8,0,0,8,8,5,5,0,0,5,5,5,5,10,5,10,2,0,0,5,8,3,8,8,8,8,0,8,8,0,8,0,0,8,5,5,0,5,8,0,8,0,5,0,
8,0,8,0,3,0,10,0,5,0,0,0,5,8,0,0,0,0,0,5,5,5,8,0,5,5,0,5,0,8,0,8,8,5,5,0,0,5,5,5,5,10,5,5,5,8,0,8,8,0,8,0,0,0,0,0,5,5,0,10,10,0,8,5,5,5,5,5,5,0,8,0,5,5,5,0,0,0,0,8,5,10,5,5,5,0,5,0,10,0,0,8,0,11,8,3,11,11,8,3,11,5,5,5,5,5,8,0,0,3,10,5,5,5,0,0,8,0,5,0,8,0,5,5,0,10,8,8,10,10,10,10,2,5,3,5,0,0,8,0,0,8,5,5,5,5,0,0,5,3,5,0,10,10,10,8,5,8,8,8,0,0,8,0,0,8,5,5,5,0,10,0,0,10,11,3,5,5,0,10,0,5,0,5,0,5,0,5,0,5,5,5,0,5,0,5,5,0,0,0,10,10,10,0,0,8,0,3,8,0,0,0,0,0,5,0,5,5,5,5,10,0,8,0,3,3,3,0,8,0,5,5,8,0,8,5,0,5,0,5,0,5,0,5,0,5,5,5,
0,8,0,8,5,0,8,0,0,0,0,0,0,0,8,0,8,3,8,3,8,8,5,0,8,8,5,8,5,0,8,8,0,0,0,0,0,0,0,8,5,0,0,0,0,0,8,0,0,0,0,0,8,0,5,5,0,8,5,3,8,0,8,3,0,5,8,0,8,0,5,5,8,8,3,8,8,0,10,10,8,8,0,0,0,5,0,5,8,8,5,8,8,10,8,0,10,10,5,5,5,8,0,8,0,0,5,0,5,0,8,8,8,8,8,0,0,0,0,5,0,0,8,0,0,8,5,5,8,0,8,5,0,0,10,0,3,3,8,0,8,10,8,5,0,0,0,8,8,0,0,8,8,8,8,0,8,0,5,0,5,0,10,3,0,0,8,3,0,5,8,5,0,8,10,5,3,8,8,8,8,0,5,0,5,0,0,8,0,3,0,3,0,8,0,8,0,0,8,0,8,8,8,5,5,0,5,10,5,8,8,10,5,0,8,0,8,0,8,5,8,5,5,5,5,10,10,5,5,5,8,0,5,10,10,5,0,10,0,8,5,0,0,0,5,8,8,0,
0,0,8,0,0,0,0,5,0,8,8,0,0,0,8,0,3,3,3,8,3,0,10,5,0,0,5,8,5,0,8,8,5,0,3,10,5,8,8,0,0,8,8,8,8,8,0,0,5,0,5,8,0,8,8,8,5,0,0,8,8,8,0,8,3,0,8,0,3,10,10,5,0,0,8,0,0,0,5,5,3,3,8,0,0,5,3,0,8,0,5,8,0,5,5,5,10,10,5,0,5,8,0,8,0,5,10,5,5,10,8,8,0,8,5,0,5,0,8,8,0,8,8,0,0,0,0,5,3,3,0,0,8,5,0,8,8,0,0,5,8,2,0,5,8,0,8,0,8,5,5,5,8,0,8,2,5,10,0,10,5,5,5,8,0,8,0,8,0,0,8,8,8,3,10,0,8,8,8,8,8,0,0,0,5,0,5,3,0,3,0,3,5,0,10,8,5,8,8,8,8,8,8,0,0,0,5,5,0,8,3,5,0,0,0,5,3,3,3,8,3,8,5,0,5,0,5,0,5,0,8,0,0,0,5,0,8,5,0,8,0,5,0,5,5,0,8,0,
8,8,8,8,8,0,5,5,0,3,8,8,8,0,8,8,8,3,3,8,8,8,5,0,0,0,5,8,5,8,8,3,8,0,8,0,8,0,5,0,0,0,0,8,0,0,0,5,0,5,5,0,0,0,8,8,5,5,0,5,0,0,8,0,0,5,8,8,3,8,10,0,8,8,3,0,0,0,10,10,0,0,5,5,5,5,8,0,0,8,5,3,8,0,8,8,0,0,0,8,8,8,5,8,8,0,0,5,5,5,0,5,5,5,5,0,5,0,8,8,0,8,0,8,0,0,0,0,5,0,0,10,5,0,8,8,3,8,3,5,8,10,5,2,8,0,5,0,0,10,0,0,0,5,5,5,5,5,8,0,10,5,5,3,0,3,0,8,0,0,8,0,8,0,5,0,0,0,8,0,8,0,0,0,5,0,5,8,0,8,0,3,10,5,10,0,10,8,3,8,0,0,0,5,5,5,5,5,0,8,3,10,0,0,5,5,8,0,8,5,0,0,5,5,0,0,5,0,5,0,8,0,0,10,10,10,0,2,0,0,5,10,0,5,5,8,0,0,
5,5,5,5,5,0,0,0,5,0,5,8,0,8,0,8,0,0,0,0,0,0,8,0,0,0,0,5,0,10,0,10,0,0,5,8,8,5,0,0,0,0,0,0,0,0,5,0,0,5,5,5,10,5,8,0,0,10,0,10,5,0,5,5,5,8,5,0,10,8,3,8,5,5,5,5,5,0,3,8,5,5,5,8,8,8,5,8,8,0,3,10,0,5,5,5,5,5,0,5,10,8,8,0,0,8,0,8,0,8,8,8,5,5,0,0,0,0,0,0,5,5,0,0,0,8,0,0,0,0,8,8,0,8,8,0,10,5,0,8,0,11,5,8,5,5,5,5,5,0,8,0,8,3,0,3,8,0,8,8,8,8,3,10,0,5,0,10,3,8,8,0,0,0,5,5,5,0,0,8,0,8,8,8,5,5,5,5,5,0,8,0,8,0,3,0,3,0,10,5,8,8,8,3,3,0,0,8,0,5,10,3,0,0,0,0,5,5,5,5,5,5,8,0,0,0,0,0,0,0,0,8,0,8,8,8,5,11,0,0,0,8,5,3,8,0,0,8,
8,8,8,0,0,0,5,10,8,8,3,8,3,8,10,5,8,8,0,0,8,5,8,0,8,8,3,5,0,5,0,5,5,5,5,5,5,0,0,8,8,8,8,8,8,0,10,5,0,8,8,5,0,0,0,0,10,10,10,5,5,0,8,8,0,5,8,10,5,0,5,5,8,8,8,8,8,0,0,8,5,5,0,5,0,8,0,8,0,5,5,0,8,0,5,8,3,8,8,8,3,0,10,0,0,8,5,8,0,0,0,0,0,8,8,0,8,0,8,8,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,8,8,3,8,3,5,8,0,0,5,0,5,8,0,0,5,0,5,0,0,8,0,8,0,0,5,0,5,8,0,0,0,8,3,0,0,8,5,5,8,3,3,8,3,0,5,0,0,5,5,0,5,0,8,8,10,3,3,3,3,3,0,0,5,0,0,5,0,0,8,0,0,0,0,0,0,0,0,0,0,0,3,5,8,0,5,5,8,8,8,0,0,0,8,0,8,3,8,3,3,8,0,8,
2,10,5,5,5,8,8,3,0,0,0,0,0,0,0,0,10,0,8,8,0,11,5,8,0,0,0,0,0,0,0,0,8,11,8,3,3,0,8,0,10,10,5,5,0,8,8,8,8,0,8,3,3,8,10,5,11,8,11,0,3,0,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,5,0,10,5,0,5,0,0,0,0,0,0,0,0,5,0,0,0,5,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,5,5,5,10,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,5,8,5,10,10,0,0,0,0,0,0,0,0,5,2,5,5,5,0,0,5,5,0,8,5,8,8,5,0,0,0,0,0,0,0,0,0,8,0,5,8,5,5,8,0,0,0,0,0,0,0,0,0,0,5,10,8,5,8,0,0,5,10,10,10,5,10,0,5,5,5,0,10,2,5,8,10,
3,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,8,10,5,5,5,5,5,10,0,0,0,0,0,0,0,0,0,10,8,0,8,8,10,0,8,3,8,5,5,5,8,0,5,5,5,5,2,0,3,8,0,3,5,3,8,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,11,8,11,0,10,5,0,0,0,0,0,0,0,0,5,5,10,5,0,5,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,11,8,3,8,0,8,8,0,0,0,0,0,0,0,0,8,0,5,5,5,5,5,0,8,3,0,0,5,10,3,5,0,0,0,0,0,0,0,0,8,3,3,0,8,0,10,5,0,0,0,0,0,0,0,0,0,8,8,0,5,0,8,8,5,8,3,3,8,11,5,0,0,5,10,8,8,5,0,3,
3,3,3,8,8,0,5,5,0,0,0,0,0,0,0,0,8,5,0,5,0,5,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,8,5,8,8,8,8,0,0,0,5,0,5,0,0,5,10,0,8,0,5,0,5,0,0,5,3,8,0,0,0,0,0,0,0,0,10,10,10,10,10,0,0,10,0,0,8,8,3,8,5,8,0,0,0,0,0,0,0,0,0,5,5,0,8,0,5,8,0,0,0,0,0,0,0,0,0,10,10,0,10,0,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,0,5,8,0,0,0,0,0,0,0,0,3,0,3,0,0,10,0,10,8,3,0,8,0,0,8,0,0,0,0,0,0,0,0,0,8,8,8,0,0,0,5,0,0,0,5,0,5,5,3,0,0,0,7,3,10,0,3,3,0,8,8,5,0,0,0,0,0,0,0,0,0,0,0,0,5,0,8,0,0,8,0,8,0,8,8,8,0,3,0,0,8,8,0,8,3,5,0,8,
0,0,5,0,8,5,0,0,5,5,10,5,10,5,3,8,0,8,0,0,0,5,8,8,8,8,3,5,0,5,0,5,0,0,5,5,10,5,8,5,0,5,5,8,0,0,0,0,0,0,5,0,8,5,0,0,5,5,0,5,10,8,0,5,0,8,5,3,8,0,8,8,8,8,8,8,8,0,0,8,5,0,10,0,5,0,3,8,0,8,8,0,5,0,8,5,0,0,8,0,5,8,0,0,0,5,8,5,0,0,0,0,0,8,8,0,8,0,8,8,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,0,8,0,8,8,0,0,0,0,8,0,8,5,0,0,5,0,5,0,0,8,0,8,10,10,10,5,5,0,8,8,0,8,3,0,0,8,5,5,5,8,0,8,0,8,3,8,0,5,0,8,8,8,10,0,3,10,3,10,3,10,7,7,5,10,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,0,5,0,8,5,0,0,8,0,5,0,0,5,0,8,0,0,8,5,0,8,5,5,
0,0,5,0,8,5,0,0,8,8,3,8,3,8,10,5,0,8,0,0,0,5,8,8,8,8,3,5,0,5,0,5,0,0,5,5,10,5,8,5,0,5,5,8,0,0,0,0,0,0,5,0,8,5,0,0,5,5,0,5,10,8,0,5,0,5,8,10,5,0,5,5,8,8,8,8,8,0,0,8,5,0,10,0,5,0,3,8,0,5,5,0,8,0,5,8,0,0,8,0,5,8,0,0,0,8,5,8,0,0,0,0,0,8,8,0,8,0,8,8,5,10,5,10,10,5,0,5,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,0,8,0,8,8,0,0,0,0,5,0,5,8,0,0,5,0,5,0,0,8,0,8,10,10,10,5,5,0,8,8,0,8,3,0,0,8,5,5,5,8,0,8,0,8,3,8,0,5,0,8,8,8,10,0,10,3,3,3,3,3,0,0,5,10,5,0,0,8,0,8,0,0,0,0,0,0,0,0,0,0,5,0,8,5,0,0,8,0,5,0,0,5,0,8,0,0,8,5,0,8,5,5,
3,3,8,8,3,5,5,5,5,5,10,5,10,5,3,8,8,0,0,5,0,10,8,0,8,8,3,5,0,5,0,5,0,5,5,5,10,0,0,0,8,0,0,8,0,0,5,0,5,0,5,5,5,5,8,0,10,5,5,5,10,0,3,0,0,5,8,10,5,0,5,5,8,8,8,8,8,0,0,8,5,0,5,8,8,8,8,3,0,5,5,0,8,0,5,8,0,5,0,0,0,8,5,8,0,8,5,8,0,0,0,0,0,8,8,0,8,0,8,8,8,3,8,3,3,8,0,8,0,0,0,0,0,0,0,0,0,5,5,5,0,0,0,0,0,0,8,8,3,8,5,8,0,0,8,0,8,5,0,0,5,0,5,0,0,8,0,8,5,0,10,0,5,0,3,8,0,8,3,0,0,8,5,5,0,3,8,8,0,8,8,8,0,5,5,8,0,0,0,0,3,3,3,0,6,10,10,10,5,5,0,5,0,8,0,8,0,0,0,0,0,0,0,0,5,0,0,0,8,0,0,8,8,8,0,8,0,8,0,8,8,8,8,0,3,0,5,0,
5,10,5,5,2,8,8,0,0,0,0,0,0,0,0,0,0,0,5,8,0,8,5,5,0,0,0,0,0,0,0,0,5,5,8,0,3,0,5,0,0,3,8,5,0,5,8,5,8,0,8,0,0,8,0,8,8,8,5,3,3,0,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,11,10,0,5,10,2,0,0,0,0,0,0,0,0,8,3,0,0,8,10,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,8,3,8,8,8,10,0,0,0,0,0,0,0,0,0,8,5,5,5,8,10,10,5,8,3,8,5,5,5,8,0,0,0,0,0,0,0,0,0,8,3,8,8,8,5,5,10,0,0,0,0,0,0,0,0,3,8,3,5,5,5,0,10,5,0,3,0,8,0,0,5,5,5,10,3,5,8,8,3,
0,0,8,5,0,0,0,0,0,8,5,3,3,0,8,3,0,8,5,8,5,0,3,8,5,5,5,0,5,0,8,8,0,5,5,5,5,10,8,0,8,8,0,8,8,5,0,0,0,0,10,5,0,5,8,3,11,8,11,0,11,10,10,10,5,0,0,3,8,11,5,3,5,5,0,8,8,0,0,0,3,0,0,0,8,5,10,5,0,5,5,5,5,5,0,5,5,0,0,8,8,0,8,8,10,0,0,3,8,11,0,3,0,5,10,0,5,0,8,3,8,8,8,10,0,10,8,5,8,0,10,0,10,5,8,0,0,0,0,0,5,8,0,0,0,8,0,0,0,5,8,0,0,5,0,10,5,5,0,5,0,8,0,0,0,5,8,0,10,0,5,8,5,3,8,3,5,5,5,0,5,8,0,8,5,10,0,10,5,0,0,0,0,0,5,8,0,0,0,8,0,0,0,5,5,10,8,5,3,3,8,8,8,0,0,0,10,5,10,0,10,0,3,8,8,8,8,0,8,5,5,5,3,3,3,0,8,5,5,5,0,0,0,5,5,5,8,0,
0,8,5,8,0,0,8,8,5,0,0,0,5,8,8,0,8,0,3,5,8,5,10,10,5,5,5,5,5,0,8,8,8,0,0,5,0,5,8,0,0,5,5,5,5,0,0,0,8,8,3,8,8,0,5,5,5,0,5,5,10,0,8,0,8,0,0,5,0,10,0,5,5,5,0,10,10,0,0,0,8,5,0,10,0,10,0,5,8,3,3,3,3,8,5,8,0,0,5,0,5,0,8,8,8,8,0,0,8,10,8,0,0,8,3,0,0,0,0,10,8,0,0,8,0,8,10,0,8,0,11,5,8,8,10,5,0,5,5,5,5,5,0,0,0,0,0,0,0,8,5,0,5,5,5,8,0,8,0,8,8,0,8,0,0,8,10,5,8,0,0,0,0,5,5,5,5,0,5,5,5,5,8,5,0,8,0,3,8,8,5,0,0,5,0,5,0,5,5,10,8,8,8,8,8,8,5,0,2,10,10,0,5,0,8,3,8,8,8,3,11,0,10,0,0,5,0,0,0,0,0,0,2,10,2,8,10,8,11,3,8,8,8,3,8,8,5,0,
11,3,11,8,8,0,10,10,8,5,0,5,0,5,5,5,0,5,5,0,0,0,0,0,0,0,8,0,8,5,5,10,5,8,0,8,0,8,0,0,0,0,8,8,8,8,10,0,5,5,5,5,10,0,8,0,0,5,0,0,0,8,5,0,0,5,8,0,8,0,5,5,3,3,8,3,3,0,10,5,5,8,8,3,8,3,0,8,5,0,10,8,0,0,3,8,0,8,8,0,0,0,0,5,0,5,0,5,5,0,5,5,8,0,0,0,8,0,5,0,5,0,0,0,0,0,8,0,5,0,5,8,0,0,3,0,10,5,0,8,8,3,5,8,5,10,5,10,10,5,8,5,8,8,0,0,0,5,8,0,10,0,5,3,0,8,8,8,0,8,0,0,0,0,8,0,3,8,8,8,8,0,5,0,0,0,0,0,0,0,8,0,0,8,8,0,0,8,0,8,5,5,5,0,0,0,3,8,8,8,8,5,0,0,0,5,0,0,0,5,5,0,8,0,8,0,10,0,0,5,0,5,8,0,8,5,8,5,10,5,0,0,0,5,8,5,0,0,
0,5,0,0,0,0,5,0,3,5,0,5,8,10,10,5,0,5,5,0,8,5,5,0,8,8,3,8,3,8,10,5,10,0,0,8,5,11,5,0,5,5,0,8,0,8,5,0,0,5,5,10,5,5,8,0,8,0,8,0,8,0,0,0,8,8,8,8,8,0,5,0,8,8,5,3,3,0,0,8,10,8,8,3,5,11,8,8,0,0,0,5,0,5,8,0,5,0,0,0,0,8,0,0,5,10,10,5,10,0,0,8,8,5,0,0,8,0,5,0,0,0,0,5,0,5,8,0,10,10,10,0,5,5,3,8,0,0,8,0,3,5,5,5,5,10,10,5,10,5,8,0,0,0,5,8,0,0,8,8,5,0,0,0,0,0,8,0,0,0,0,5,0,0,0,0,11,8,3,0,3,5,10,5,3,8,8,8,8,0,5,5,0,8,8,8,0,8,0,0,0,0,0,5,5,5,8,5,8,0,0,5,5,0,0,5,8,8,8,5,0,0,8,0,0,0,0,5,0,0,0,0,8,0,3,5,8,0,10,5,5,0,0,0,0,0,8,0,
5,5,5,5,0,0,0,0,10,8,0,8,5,3,8,8,0,8,8,8,8,8,0,8,0,0,5,0,5,0,8,8,8,0,8,0,8,5,0,0,0,8,0,10,5,10,11,0,0,0,8,8,8,8,10,5,5,0,10,8,5,0,8,8,0,0,5,5,5,5,8,0,0,0,8,5,5,0,8,5,8,0,5,5,0,5,0,0,0,5,0,10,5,5,0,5,8,0,8,0,8,0,5,0,8,8,8,0,8,5,0,5,10,5,5,0,0,0,0,8,5,0,5,8,0,0,8,8,0,3,8,8,0,8,5,0,8,8,5,0,5,5,3,8,8,11,3,11,11,3,0,3,0,0,8,0,8,8,10,0,8,0,5,5,0,10,8,8,0,0,8,0,0,0,0,0,2,10,5,0,5,3,8,3,0,0,5,0,0,0,0,8,5,5,5,0,0,0,8,8,0,0,0,8,8,8,10,8,3,8,8,8,3,0,10,5,5,0,5,8,5,8,8,8,0,8,8,8,0,8,0,8,3,8,8,5,0,5,5,10,5,5,5,0,5,8,0,8,
10,5,5,5,5,8,8,8,5,3,0,3,8,8,3,3,8,3,8,8,8,0,0,0,0,0,10,0,10,5,3,8,8,5,0,10,0,2,8,0,8,8,0,5,0,10,8,5,0,0,5,0,8,5,0,8,3,8,8,0,3,10,5,5,0,8,0,8,0,8,0,8,10,10,0,5,5,0,8,0,11,0,5,5,8,2,5,5,5,5,0,5,5,8,0,0,8,0,0,0,8,5,0,0,5,0,8,8,3,8,5,0,5,5,5,0,5,0,8,8,0,0,8,5,0,0,0,5,8,0,0,10,10,5,5,10,8,0,5,5,10,5,8,0,8,3,8,8,3,0,0,8,8,8,8,0,8,0,5,0,8,0,0,5,0,5,0,0,5,5,5,0,5,0,8,8,2,5,10,8,10,3,3,3,5,5,5,0,5,8,0,8,0,5,5,5,5,5,8,8,5,5,5,5,5,5,0,0,8,8,0,8,8,5,0,0,5,0,5,3,0,8,0,8,0,8,8,8,8,0,0,8,8,8,0,8,0,0,0,0,0,5,0,10,5,5,5,5,
0,0,8,0,8,8,5,0,0,3,8,8,8,0,8,8,8,8,0,8,8,0,0,8,0,0,5,5,5,5,8,0,8,0,8,5,0,10,0,5,8,8,8,5,0,10,8,5,5,5,5,5,0,0,0,8,3,8,8,8,3,5,5,5,0,8,8,8,0,8,0,0,0,0,8,8,8,0,0,5,3,8,0,0,8,5,5,0,0,5,5,10,5,10,8,5,8,5,8,10,0,5,5,10,5,0,0,8,8,8,0,8,5,10,10,0,0,0,0,3,5,5,5,5,0,5,3,8,8,3,0,0,5,10,8,5,0,0,5,0,5,0,8,8,8,3,8,8,8,0,8,8,0,8,8,8,8,8,5,0,5,5,10,0,0,5,3,3,0,5,0,5,5,0,8,0,10,10,5,0,5,3,0,3,0,5,5,0,0,0,0,8,0,0,0,8,8,0,0,8,0,0,0,0,0,5,0,0,6,3,3,0,3,5,10,10,5,0,5,8,10,3,8,8,8,3,8,8,8,0,0,0,6,3,11,5,3,10,2,2,5,0,5,0,5,0,8,8,
3,8,8,0,0,5,0,5,0,10,5,5,5,0,0,5,5,5,5,0,10,8,8,0,5,5,0,0,0,0,0,0,0,8,5,8,0,0,8,8,0,5,0,3,3,3,2,8,0,0,0,8,5,8,0,0,10,10,5,5,10,8,0,0,5,10,5,5,0,0,0,0,8,8,8,0,0,0,5,5,0,0,8,0,8,0,5,5,0,0,5,8,0,0,0,0,5,8,0,8,0,0,8,8,8,8,8,0,0,0,0,5,3,3,8,0,8,0,5,5,0,8,0,8,0,0,0,0,5,0,5,8,0,3,3,3,5,5,8,0,0,3,10,5,10,2,5,2,2,5,0,10,0,5,5,10,10,10,3,5,5,8,8,8,0,8,0,5,5,8,0,8,0,8,0,0,3,8,0,0,0,5,5,5,5,0,8,5,0,0,8,0,0,8,0,0,0,0,0,0,0,0,0,0,0,8,8,0,5,0,0,0,0,8,8,8,5,5,5,5,5,5,8,0,0,5,5,0,0,0,5,5,5,0,0,0,0,0,0,0,8,8,8,0,8,0,0,0,
10,10,0,10,2,3,0,5,5,0,0,0,5,8,8,0,0,5,8,0,0,8,5,0,8,8,8,8,8,5,5,10,0,0,0,0,5,0,0,5,5,0,0,8,5,8,8,8,0,0,8,0,0,8,5,0,0,0,0,0,5,0,0,5,0,8,0,8,0,8,0,8,0,0,8,8,8,0,5,5,0,0,8,0,0,8,5,0,10,0,5,3,0,11,8,3,5,5,10,0,10,0,3,8,5,0,10,8,5,8,3,11,0,0,0,0,5,0,8,0,0,0,10,8,0,5,8,3,0,0,8,8,3,8,5,3,8,0,0,5,5,5,0,5,0,0,5,8,5,0,8,0,3,3,8,0,8,5,0,0,0,0,0,5,0,5,8,0,8,0,5,8,0,0,5,0,5,5,5,10,5,5,0,5,0,8,0,8,3,0,0,8,0,0,5,0,5,5,3,8,10,10,10,0,0,8,8,3,0,0,0,0,0,0,0,8,0,0,0,5,5,0,8,0,5,8,10,3,8,0,8,11,0,0,0,0,0,5,8,0,5,5,0,10,10,0,0,5,
0,0,0,8,0,0,0,0,8,0,8,5,0,5,10,5,5,5,5,5,5,0,0,0,0,0,10,5,10,5,3,8,8,5,8,5,8,5,5,5,11,0,0,10,8,2,5,10,0,0,0,0,0,0,8,0,5,0,0,0,0,8,8,8,0,0,8,0,0,0,0,5,0,0,10,0,0,0,8,3,0,5,10,5,5,5,8,8,0,5,0,10,5,5,0,5,5,0,8,0,8,8,5,0,0,8,8,8,3,0,0,0,8,0,0,0,8,0,5,0,8,8,8,0,0,0,5,5,8,3,8,5,5,5,3,5,5,8,0,3,3,8,8,3,8,3,3,5,8,0,5,0,0,5,0,5,0,0,5,0,0,8,8,8,0,8,5,5,5,0,8,5,0,8,0,0,8,0,3,0,3,0,5,0,8,8,8,0,0,5,0,5,8,8,3,0,8,8,10,5,0,0,0,5,5,0,0,5,5,0,5,8,5,3,8,8,5,0,5,3,8,0,0,8,5,5,5,5,5,0,8,0,5,0,8,5,5,8,0,0,8,8,0,8,3,5,0,0,
0,0,0,5,0,5,0,5,8,5,5,0,8,5,0,0,8,8,0,0,8,10,8,0,5,5,0,0,0,0,0,0,0,3,10,8,5,0,3,3,0,0,0,8,8,8,5,8,8,0,8,10,0,10,5,10,3,8,0,0,0,5,0,0,8,0,5,5,0,10,0,0,8,8,8,0,0,0,5,5,8,8,11,0,3,5,10,2,0,0,5,8,0,0,0,0,8,0,8,0,0,0,5,5,8,0,0,5,0,10,0,5,10,5,0,0,0,0,0,0,0,5,0,5,0,0,0,0,8,0,5,8,0,0,10,0,8,0,3,5,0,0,10,2,5,5,0,5,5,0,0,5,0,8,5,3,0,0,3,8,8,5,5,5,0,5,0,8,8,8,8,8,8,0,0,0,3,8,0,0,0,5,5,5,0,10,5,5,5,0,5,5,5,5,10,0,5,0,3,8,0,0,0,8,8,5,0,8,8,0,3,5,8,5,10,10,0,5,0,5,5,0,5,5,0,0,0,0,5,0,0,0,8,0,5,0,8,5,0,0,5,10,5,5,10,8,0,0,
8,0,0,5,0,5,5,5,0,5,10,8,8,0,0,8,0,8,5,8,0,5,3,8,5,5,0,8,0,8,0,8,5,8,5,8,5,8,3,3,5,5,5,0,0,0,0,8,0,8,5,8,0,8,0,8,0,0,8,8,8,0,5,0,5,10,10,5,0,0,0,8,8,8,8,0,0,0,0,5,8,8,3,0,8,0,5,10,0,8,8,8,8,8,0,8,8,0,5,0,5,0,0,0,8,8,8,0,0,0,0,5,5,8,0,0,5,0,8,0,5,10,5,5,0,0,8,8,0,10,0,0,5,8,10,5,0,5,0,5,0,5,5,5,10,5,5,0,5,8,8,8,0,3,8,8,0,0,8,5,5,10,10,0,0,0,8,3,3,0,0,0,8,10,5,5,8,8,0,0,0,5,0,5,0,10,0,10,5,0,5,5,10,5,5,0,5,8,8,8,0,0,0,0,0,5,0,0,8,10,8,2,0,2,10,2,8,8,8,8,0,3,5,0,8,0,0,0,0,0,5,0,8,5,5,8,3,0,5,0,5,5,0,0,0,8,0,8,
0,8,0,3,3,8,0,3,0,8,3,5,5,0,8,5,0,0,8,0,0,3,5,0,8,8,8,5,8,0,5,5,0,0,8,5,0,0,5,5,5,0,8,0,5,8,0,5,10,0,5,3,0,3,8,3,5,0,0,8,8,8,5,0,5,8,8,8,5,3,8,0,5,5,0,0,0,0,0,0,0,8,0,8,0,0,8,8,8,8,8,0,8,5,0,0,0,8,0,8,8,0,8,8,5,5,0,0,5,3,5,0,0,0,5,0,5,0,8,8,0,3,8,8,0,0,0,5,5,0,8,5,8,5,0,5,0,5,5,5,5,5,0,0,8,5,5,0,0,5,0,0,5,2,5,2,10,5,0,5,8,3,8,0,0,5,0,5,5,0,5,0,5,0,8,8,5,0,5,8,5,8,8,8,5,8,5,8,0,0,3,3,8,0,8,0,8,5,5,5,8,8,8,8,8,8,5,0,5,3,10,11,0,3,3,11,0,8,0,0,8,5,3,8,8,8,3,0,8,0,0,5,5,0,0,5,2,0,8,0,0,8,0,8,0,0,0,0,
5,0,8,0,5,3,0,0,5,0,8,5,10,8,8,5,5,5,3,0,0,11,10,0,3,3,8,8,8,0,5,5,0,5,0,5,5,0,5,5,5,0,0,8,5,8,8,0,0,0,8,8,8,8,5,0,5,0,5,0,5,0,8,0,0,8,3,3,8,3,5,0,10,10,5,0,0,0,8,8,0,0,0,0,5,0,0,0,5,5,0,5,5,8,0,0,5,5,5,0,0,0,8,8,10,5,10,8,5,3,8,11,0,5,5,0,5,0,8,8,0,8,5,3,0,0,0,8,0,3,3,3,11,8,0,8,5,5,5,0,5,8,0,8,8,0,5,8,0,5,0,0,8,0,0,5,0,5,0,0,0,8,0,8,0,0,0,0,5,5,5,0,5,8,0,8,5,5,5,5,5,0,0,0,0,11,0,3,3,0,8,3,8,0,8,0,8,0,10,0,5,5,5,0,0,3,5,8,0,8,5,3,0,8,8,3,0,0,0,5,0,5,8,0,0,8,5,8,8,5,8,8,0,8,8,0,5,0,8,0,8,8,0,0,8,10,0,0,
5,0,0,0,0,8,0,8,5,5,0,5,10,8,8,5,5,5,3,0,0,11,5,0,0,0,8,0,8,0,5,5,5,0,5,5,10,0,8,0,5,0,0,8,5,8,0,0,5,8,0,3,0,3,0,8,5,0,0,8,0,8,5,0,5,8,0,3,0,11,0,3,5,5,0,8,8,0,5,0,8,8,3,8,8,0,5,5,0,8,0,8,8,0,8,8,0,0,0,0,0,0,8,0,10,5,5,8,5,11,0,3,5,5,10,0,10,0,3,3,5,0,5,3,0,8,0,8,10,0,8,8,8,3,5,8,8,5,0,10,5,10,5,10,0,5,10,0,5,5,8,0,0,0,0,5,5,5,8,5,8,0,0,5,0,5,0,0,0,0,5,0,5,0,8,8,0,0,5,0,5,0,0,0,5,3,5,8,8,0,3,3,0,5,5,0,5,5,8,0,0,0,0,3,3,3,5,3,8,8,0,0,0,5,0,0,8,8,8,0,8,0,0,0,8,8,8,0,8,5,0,0,8,0,0,0,0,5,0,0,5,5,0,5,10,0,0,5,
5,5,5,5,10,0,8,5,8,8,0,8,3,5,0,8,3,8,5,5,0,7,8,5,0,0,0,0,0,5,0,5,8,8,0,8,8,0,0,0,0,0,0,0,0,8,0,8,8,0,8,10,0,10,0,5,3,8,8,5,0,5,0,5,8,0,5,10,5,2,8,5,8,8,8,5,5,0,5,5,5,5,0,5,0,0,0,0,5,5,10,0,5,0,8,0,0,0,3,5,0,0,5,5,3,8,0,5,0,2,8,5,0,0,8,0,3,0,10,5,3,0,8,10,0,5,5,5,8,0,10,0,5,10,8,8,8,8,8,0,0,0,0,5,0,0,8,0,0,8,5,5,8,8,0,8,8,0,0,8,8,0,8,5,0,0,5,5,0,8,3,0,0,8,0,5,0,5,0,5,0,0,5,0,0,2,0,5,5,0,10,10,0,0,5,5,5,5,3,0,5,5,5,5,5,10,3,0,0,0,8,0,8,8,5,0,0,5,0,5,0,5,5,5,10,5,10,8,5,8,8,3,0,0,0,5,0,5,0,5,0,5,0,5,5,8,5,5,
0,0,0,8,0,0,0,0,5,0,5,8,0,8,3,8,5,5,5,5,5,0,0,0,0,0,3,8,3,8,10,5,8,5,8,5,8,5,5,5,11,0,0,10,8,2,5,10,0,0,0,0,0,0,8,0,5,0,0,0,0,8,8,8,0,0,5,0,0,0,0,8,0,0,3,0,0,0,5,10,0,5,10,5,5,5,8,8,0,8,0,3,8,8,0,8,5,0,8,0,8,8,5,0,0,5,5,5,10,0,0,0,5,0,0,0,5,0,8,0,5,5,5,0,0,0,8,8,5,10,5,8,8,8,10,8,8,5,0,10,10,5,5,10,8,3,3,5,8,0,5,0,0,8,0,8,0,0,8,0,0,5,5,5,0,5,8,8,5,0,8,5,0,8,0,0,5,0,10,0,10,0,8,0,8,8,8,0,0,5,0,5,8,8,3,0,8,8,10,5,0,0,0,8,8,0,0,8,5,0,5,8,5,3,8,8,8,0,8,10,5,0,0,5,5,5,5,5,5,0,8,0,5,0,8,5,5,8,0,0,8,8,0,8,3,5,0,0,
8,8,0,8,3,0,5,8,0,0,0,0,0,0,5,0,0,8,0,8,0,8,8,8,0,0,5,0,5,5,8,0,5,8,0,0,5,8,8,8,10,5,0,0,5,8,0,0,10,8,10,11,0,11,8,11,5,0,8,3,3,8,10,0,3,8,8,0,8,10,5,5,0,0,5,0,0,0,0,8,8,3,3,8,8,0,0,5,5,10,10,5,10,0,0,5,8,8,5,8,0,0,8,8,0,0,5,0,8,10,8,8,8,5,8,0,3,0,10,5,8,0,0,0,0,0,5,0,8,3,5,8,0,0,3,3,0,3,8,3,8,3,8,8,5,10,10,0,5,0,8,8,8,8,0,3,3,8,5,3,0,0,8,0,0,8,5,5,8,0,5,0,0,10,0,0,0,5,8,5,8,0,5,0,5,5,5,5,5,0,8,8,5,5,0,0,0,0,0,0,5,5,5,5,5,0,8,0,0,0,5,0,0,5,0,0,5,10,5,5,5,5,5,5,3,8,3,0,8,0,5,5,0,5,5,0,5,0,0,0,5,0,0,8,0,8,0,8,
0,5,0,10,10,5,0,10,0,8,3,5,5,0,8,5,0,0,5,0,0,10,8,0,8,8,8,5,8,0,5,5,0,0,5,8,0,0,8,8,8,0,5,0,8,5,0,8,3,0,8,10,0,10,5,10,8,0,0,5,5,5,8,0,5,8,8,8,5,3,8,0,5,5,0,0,0,0,0,0,0,5,0,5,0,0,5,5,8,8,8,0,8,5,0,0,0,5,0,5,5,0,5,5,5,5,0,0,5,3,5,0,0,0,5,0,5,0,8,8,0,3,8,8,0,0,0,5,5,0,8,5,8,5,0,5,0,5,5,5,5,5,0,0,5,8,8,0,0,8,0,0,5,2,5,2,10,5,0,5,8,3,8,0,0,5,0,5,8,0,8,0,8,0,5,5,5,0,5,8,5,8,8,8,8,5,8,5,0,0,10,10,5,0,5,0,5,8,8,8,8,8,8,8,8,8,5,0,8,10,3,2,0,10,10,2,0,8,0,0,8,5,3,8,5,5,10,0,5,0,0,8,8,0,0,8,11,0,5,0,0,5,0,5,0,0,0,0,
5,10,0,10,2,8,0,10,0,5,0,5,5,0,0,5,8,0,5,0,0,10,0,0,5,5,0,5,0,8,0,8,8,0,8,8,8,0,5,5,0,0,0,0,0,0,8,8,8,5,8,10,0,5,5,5,8,0,0,5,5,5,8,5,5,0,0,8,0,3,0,8,5,5,5,0,0,0,0,8,5,5,5,5,5,8,0,8,3,8,8,5,8,2,0,5,5,5,10,0,10,0,8,8,5,5,8,0,0,3,10,5,5,5,10,0,5,0,8,3,5,0,8,8,0,3,5,5,10,0,0,0,5,8,0,5,0,5,0,5,0,5,5,5,0,8,8,8,0,8,0,0,10,10,5,5,10,0,8,5,8,0,0,0,0,0,5,0,8,0,0,8,8,0,10,5,8,8,0,3,0,8,0,8,8,5,8,0,8,0,10,5,0,8,0,0,0,0,8,8,3,3,3,3,3,8,10,0,5,5,0,0,0,8,0,8,8,8,8,8,3,0,5,0,10,0,2,3,0,8,8,11,5,0,0,0,0,0,8,0,0,0,0,5,0,0,0,0,
8,3,0,3,11,5,8,3,0,5,5,0,0,0,5,0,8,8,8,0,8,0,5,5,0,0,5,8,5,5,8,0,0,0,0,0,8,0,5,0,5,8,8,8,0,3,0,0,0,5,0,5,0,10,0,5,8,0,5,5,0,5,0,0,5,5,5,0,0,8,0,8,8,8,0,8,8,0,0,0,5,0,5,8,0,0,8,8,10,0,0,8,0,11,8,3,8,8,3,0,3,5,5,5,0,3,0,3,8,8,3,3,0,8,0,0,5,0,8,0,0,5,10,0,0,5,8,3,8,0,3,0,0,8,5,0,0,0,0,0,8,5,0,0,8,5,0,0,8,5,5,5,3,11,3,0,8,5,0,5,5,5,5,0,0,0,8,8,10,0,0,0,5,8,3,8,8,0,8,10,8,10,5,10,5,0,5,8,5,8,8,8,8,0,0,0,8,5,5,5,10,10,10,5,5,0,8,8,0,3,0,3,8,8,8,8,0,8,0,3,0,3,0,8,8,0,11,5,0,0,5,2,0,8,0,0,5,0,0,0,8,8,0,8,0,0,0,0,
8,3,8,3,3,0,0,8,0,0,5,8,8,0,0,8,5,0,8,0,0,3,5,0,5,5,0,0,0,5,0,5,0,5,0,5,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0,8,8,0,0,0,5,0,5,0,0,0,8,8,0,0,10,5,5,5,8,8,3,3,3,8,8,0,10,10,0,0,5,0,5,5,8,0,5,8,5,11,8,3,8,3,0,0,8,0,3,0,5,0,8,8,0,0,0,5,8,0,0,8,8,0,0,0,0,5,0,5,5,5,0,5,8,8,0,10,5,5,5,0,5,8,3,8,8,5,0,10,0,10,8,0,0,0,8,5,5,0,8,3,8,8,8,0,0,0,0,5,0,10,0,5,8,0,10,5,0,5,5,8,8,8,0,0,0,5,0,5,0,5,0,3,0,8,0,0,8,8,8,0,3,0,3,8,7,5,5,5,5,0,0,5,3,8,0,8,5,3,0,8,8,8,0,0,0,0,5,8,0,0,8,0,8,5,0,5,0,10,0,8,8,0,5,8,0,0,3,3,0,3,11,10,0,8,
0,8,0,8,0,0,8,0,5,5,5,0,5,8,0,0,8,8,0,5,0,10,0,5,5,5,0,0,0,0,0,0,8,0,0,0,8,0,5,0,0,0,0,0,0,8,0,0,8,0,8,5,8,10,0,5,8,8,0,5,0,5,8,0,5,0,5,8,0,3,0,3,8,8,8,3,3,0,5,5,5,5,5,5,5,5,8,0,0,3,8,11,3,3,0,3,0,0,11,5,3,0,10,5,5,0,0,8,0,3,0,8,0,8,0,0,10,0,3,0,10,5,10,8,0,0,3,3,5,10,8,5,0,3,10,0,8,0,0,5,0,10,0,5,8,0,8,0,8,0,10,5,0,8,8,0,0,0,0,5,5,5,5,5,0,5,3,8,10,0,3,5,5,3,8,0,0,8,0,0,0,5,8,5,0,5,0,0,5,0,5,5,8,0,8,5,8,0,10,5,0,0,0,8,8,8,0,8,0,8,0,3,8,3,0,8,0,8,0,8,5,3,8,8,5,5,5,0,5,0,8,0,0,8,8,5,5,0,0,5,3,8,0,8,3,5,5,0,
0,5,5,5,5,5,0,0,8,8,3,5,0,5,8,5,5,5,5,0,5,0,8,0,3,3,8,0,8,0,5,5,5,5,0,0,0,0,8,0,8,0,5,5,0,10,0,0,0,8,5,8,5,8,8,8,5,5,8,0,0,8,5,0,8,8,3,0,0,5,0,10,5,5,0,5,5,0,8,0,0,5,5,0,0,8,0,8,0,5,0,5,5,0,5,5,0,0,0,5,5,0,0,5,0,5,5,5,5,5,0,0,5,5,0,0,0,0,0,0,8,3,8,0,0,5,0,5,3,3,8,8,11,10,5,5,5,5,0,0,5,3,5,0,5,8,0,0,0,8,8,8,0,10,10,5,5,5,8,8,8,3,0,8,0,5,0,0,8,0,0,5,0,5,0,5,0,0,5,0,5,0,0,0,0,0,8,5,0,0,0,5,5,0,5,0,10,0,3,0,0,0,0,0,0,0,5,0,8,10,8,7,5,2,5,2,5,5,5,10,5,10,3,0,0,5,0,5,0,0,5,0,8,5,0,8,11,0,10,0,5,5,8,5,5,8,0,5]);

G<x,y>:=MatrixGroup<248,F|x,y>;