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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0
1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0
0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0
0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0
0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0
0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0
0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0
0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0
0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
2,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0
0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0
0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0
0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,1,1,1,0,0,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0
0,1,0,0,1,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,3,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0
0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0
2,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0
0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0
0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0
0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,2,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,3,0,0,0,0,1,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
0,0,3,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0
1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0
1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0
0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,1,1,1,0,1,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0
0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,1,0,0,0,0,1,0
0,1,0,0,1,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,0,1,0,0,1,0,0,0,1,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,3,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0
0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0
2,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,1,2,1,0,0,0,1,0
0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,2,0,1,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0
0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0
0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,2,0,1,0,0,1,0,0
0,1,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,2,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,3,0,0,0,0,1,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0
1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,0,3,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0
0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0
1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0
1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0
0,1,0,2,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,1,2,1,0,1,0
0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0
0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,3,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,1,0,0,0,0,1,0
0,1,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,2,0,0,2,0,1,0,0,1,0,0,0,1,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0
0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,3,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0
0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,1,2,1,0,0,0,1,0
0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,3,0,1,2,0,1,0,0,0,0,1,0,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0
1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,3,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,2,0
0,0,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0
0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,2,0,1,0,0,1,0,0
0,1,1,0,0,0,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,2,0,0,1,0,2,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,3,0,0,0,0,2,0,0,0,0
1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,1,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0
1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0
0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0
1,0,3,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,3,0,1,1,0,0,0,0,0,0,1,1,0,0,0
0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,0,1,3,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0
1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0
1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0
0,1,0,2,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,1,2,2,0,1,0
0,0,0,0,1,1,2,0,1,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0
0,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,3,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,3,1,0,0,0,0,1,0
0,1,0,0,2,1,0,3,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,0,1,0,0,1,0,0,0,1,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,3,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0
0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,3,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,3,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0
0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0
0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,1,1,2,1,0,0,0,1,0
0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,2,0,0,2,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,3,0,1,2,0,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0
0,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0
1,0,2,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,3,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0
0,0,0,1,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0
0,0,0,0,1,2,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,1,1,1,1,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,0,2,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,2,0,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,1,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0
0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0
1,0,3,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,3,0,1,1,0,0,0,0,0,0,1,1,0,0,0
0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0
1,0,1,3,0,2,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0
1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,1,1,0
1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,0,1,0,0,0
0,1,0,2,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,1,2,3,0,1,0
0,0,0,0,1,1,2,0,1,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0
0,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,4,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0
0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,3,1,0,0,0,0,1,0
0,1,0,0,2,1,0,3,1,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,1,0,2,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,1,0,0,0,0,1,0
0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,2,0,0,3,0,0,1,0,0,1,1,0,0,0,1,0,0,0
0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,2,1,0,0,1,0,0,0,1,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,3,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0
0,1,0,0,0,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,0,3,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,2,0,0,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,3,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,2,0,2,0,0,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0
0,1,1,2,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,1,1,0,1,1,1,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0
0,0,0,1,1,1,0,3,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,3,0,1,0,1,1,2,1,0,0,0,1,0
0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,3,0,1,2,0,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0
0,0,0,3,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0
1,0,2,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,0,1,1,0,1,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,0,0,0,3,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,2,1,0,0,0,3,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0
0,0,0,0,1,2,0,1,0,1,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,1,1,1,1,1,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,0,2,1,1,0,0
1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,2,0,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,1,0,0,3,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0
0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,2,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0
1,0,3,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,3,1,1,0,1,1,0,3,0,1,1,0,0,0,0,0,0,1,1,0,0,0
0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0
1,0,1,3,0,2,0,0,1,1,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0
1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,1,1,0
1,1,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,2,0,1,0,0,0
0,1,0,2,1,2,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,1,2,3,0,1,0
0,0,0,0,1,1,2,0,1,1,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0
0,2,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,4,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0
0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,3,1,0,0,0,0,2,0
0,1,0,0,2,1,0,3,1,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,2,0,0,1,0,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0
0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,2,0,0,3,0,0,1,0,0,1,1,0,0,0,1,0,0,0
0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,2,1,0,0,1,0,0,1,1,0
0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,0,1,1,0,0,1,0,1,1,0,2,0,0,0
0,1,0,0,0,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,3,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,0,1,0,1,2,0,2,0,0,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,1,2,0,0,0,1,0,1,0,0,1,0,1,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0
0,1,1,2,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,2,1,0,0,1,2,0,1,1,1,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0
0,0,0,1,1,1,0,3,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,3,0,0,0,1,0,0,1,0,3,0,1,0,1,1,2,1,0,0,0,1,0
0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,0,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,3,0,1,2,0,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0
0,0,0,3,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,1,0
1,0,2,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,0,1,1,0,1,1,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,0,0,1,3,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,3,1,0,0,0,3,1,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,3,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0
0,0,0,0,1,2,0,1,0,1,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,1,1,1,1,1,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,0,2,1,1,0,0
2,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,3,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,3,0,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,2,0,0,3,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0
0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,1,1,1,0,1,0,0,1,0,0
0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0
1,0,3,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,4,1,1,0,1,1,0,3,0,2,1,0,0,0,0,0,0,1,1,0,0,0
0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0
1,0,1,3,0,2,0,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0
1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,2,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,1,1,0
1,1,1,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,2,0,1,0,0,0
1,1,0,2,1,2,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,1,2,3,0,1,0
0,0,0,0,2,1,2,0,1,1,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0
0,2,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0
0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,3,1,0,0,0,0,2,0
0,1,0,0,2,2,0,3,1,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,2,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,2,0,0,1,0,1,0
0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,2,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,1,2,0,0,3,0,0,1,0,0,1,1,0,0,0,1,1,0,0
0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,1,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,2,2,0,0,1,0,0,1,1,0
0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,2,0,0,0,1,2,0,0,1,0,1,1,0,2,0,0,0
0,1,0,1,0,1,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,1,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,1,1,3,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,1,2,0,1,0,1,2,0,2,0,0,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,1,3,0,0,0,1,0,1,0,0,1,0,1,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,2,0,1,0,0
0,1,1,2,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,2,0,0,2,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,0,0,3,0,0,0,2,1,0,0,1,2,0,1,1,2,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0
0,0,0,1,1,2,0,3,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,2,2,0,0,0,0,0,3,0,0,0,1,0,0,1,0,3,0,1,1,1,1,2,1,0,0,0,1,0
0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,1,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,3,0,1,2,1,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,1,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,2,0
0,0,0,3,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0
1,0,3,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,0,1,1,0,1,1,2,0,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,0,1,1,0,2,1,2,1,1,0,1,0,0,1,1,0,0,1,3,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,3,1,0,0,0,3,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0
2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,3,1,0,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,1,0
0,0,0,0,1,2,0,1,1,1,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,1,1,1,1,1,2,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,2,1,1,0,0
2,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,2,0,1,0,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,0,2,0,1,1,1,0,0,1,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,3,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,1,3,0,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,2,0,0,3,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0
1,1,0,2,1,0,0,0,1,0,2,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,2,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0
0,2,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,1,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0
1,0,3,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,4,1,1,0,1,1,0,3,0,2,1,0,0,0,1,0,0,1,1,0,0,0
0,1,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,3,1,2,0,0,1,1,1,1,2,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0
1,1,2,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,2,0,0,1,1,0,1,2,0,2,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,1,1,0
1,1,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,2,2,0,1,0,0,0
1,1,0,2,1,2,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,2,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,1,1,1,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,3,0,1,2,3,0,1,0
0,0,1,0,2,1,3,0,1,1,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0
0,2,1,0,1,0,1,0,1,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0
0,0,0,0,1,0,2,0,2,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,3,1,0,0,0,0,2,0
0,1,0,0,2,2,0,3,2,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,2,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,2,0,0,2,0,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,2,1,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,2,0,1,2,0,0,3,0,0,1,0,0,1,1,0,0,0,1,1,0,0
0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,1,2,2,0,0,0,0,0,0,0,1,1,0,1,0
0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,2,2,0,0,1,0,0,1,1,0
0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,1,2,0,0,1,0,1,1,0,2,0,0,0
0,1,0,1,0,1,1,1,1,0,1,2,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,0,1,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,2,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,1,1,4,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,2,0,0,1,2,0,1,0,1,2,0,2,0,0,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,1,3,0,0,0,1,0,1,1,0,1,0,1,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,3,0,1,0,0
0,1,1,2,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,2,0,0,2,0,0,1,1,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,1,0,1,1,1,1,0,0,0,1,0,0,3,0,0,0,2,1,0,0,1,2,0,1,1,2,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,1,0,0
0,0,0,1,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,2,2,0,0,2,0,0,3,0,0,0,1,0,0,1,0,3,0,1,1,1,1,2,1,0,0,0,1,0
0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,1,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,0,1,2,1,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,1,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,2,1,2,0,0,0,1,0,1,0,0,1,0,0,0,2,0
0,0,0,3,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,2,1,0,1,1,0
1,0,3,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,0,1,1,0,1,1,2,0,2,0,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,1,0,0,1,1,0,0,1,3,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,0,1,1,0,0,3,1,0,0,0,4,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0
2,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,3,1,0,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,1,0
0,0,0,0,1,2,0,2,1,1,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,2,0,1,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,2,1,1,1,1,2,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,2,1,1,2,0,0,1,1,2,1,1,0,0
2,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,1,0,0,0,1,1,0,2,0,1,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,0,2,0,1,1,1,0,0,1,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0
0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,4,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,1,4,0,0,0,0,1,1,0
0,1,1,0,0,0,0,0,0,2,0,0,3,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0
1,1,0,2,1,0,0,0,1,0,3,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,3,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,2,0,2,1,1,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0
0,2,0,0,2,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,2,1,1,1,0,1,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0
1,0,3,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,0,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,4,1,1,1,1,1,0,3,0,2,1,0,1,0,1,0,0,1,1,0,0,0
0,1,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,3,1,2,0,0,1,1,1,1,2,0,1,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0
1,1,2,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,3,0,0,1,1,0,1,2,0,3,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,2,1,3,0,0,0,1,1,0
1,1,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,2,2,1,1,0,0,0
1,1,0,2,1,2,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,2,0,0,3,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,1,0,1,1,1,0,2,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,3,0,1,2,3,0,1,0
1,0,1,0,2,1,3,0,1,1,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,1,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,3,1,0,1,1,0,2,0
0,1,0,0,2,2,0,3,2,0,1,0,0,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0
2,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,2,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,2,1,0,0,0,2,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,1,0,1,2,0,0,2,0,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,2,2,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0
0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,2,1,0,2,0,1,2,0,0,3,0,0,1,0,0,1,1,0,0,0,1,1,1,0
0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,3,1,0,0,0,1,1,1,1,1,2,2,0,0,1,0,0,0,0,1,1,0,1,0
0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,2,2,0,0,2,0,0,1,1,0
1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,3,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,1,2,0,0,1,0,1,1,0,2,0,0,0
0,1,0,2,0,1,1,1,1,0,1,2,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,3,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,2,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,1,1,4,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,2,1,0,1,2,0,1,0,1,2,0,2,0,0,0,1,0,0,1,1,0
1,0,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,0,1,1,1,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,3,0,1,0,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,2,0,0,2,1,0,1,1,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,1,0,1,1,1,1,0,0,1,1,0,0,3,0,0,0,2,1,0,0,1,2,0,1,2,2,0,0,0
2,0,0,0,3,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,1,3,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,1,1,0,0
0,0,0,1,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,1,3,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,0,0,1,0,0,1,0,3,0,1,1,1,1,2,1,0,0,0,1,0
0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,1,2,1,0,1,0,1,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
2,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,0,1,2,1,1,0,0,0,0,1,1,0
2,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,2,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,0,3,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,3,2,1,0,1,1,0
1,0,3,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,1,1,1,0,1,1,2,0,2,0,0,1,0,0,3,1,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,1,1,0,1,2,0,0,1,3,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,0,0,3,1,0,0,0,4,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0
2,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,3,1,0,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,1,0,1,0
0,0,0,0,1,2,0,2,1,1,0,1,2,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,2,0,1,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,0,3,1,1,1,1,2,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,2,1,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,2,1,1,2,0,0,1,1,2,1,1,0,0
2,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,1,0,1,1,0,0,0,1,1,0,3,0,1,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,2,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,1,0,1,4,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,1,4,0,0,0,0,1,1,0
0,1,1,0,0,0,0,0,0,2,0,0,3,1,1,0,1,0,0,1,0,1,2,0,1,0,1,1,0,1,0,0,0,3,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,2,1,1,1,0,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0
1,1,0,2,1,0,0,0,1,1,3,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,3,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,2,0,2,1,1,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0
0,2,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,2,1,1,1,0,2,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,2,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0
1,0,3,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,4,1,1,1,1,1,0,3,0,2,1,0,1,0,1,0,0,1,1,0,0,0
1,1,1,3,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,3,1,2,0,0,1,1,1,1,2,0,1,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0
1,1,2,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,2,0,1,1,1,0,0,0,1,1,2,0,2,1,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,2,0,1,1,0,0,3,0,0,1,1,0,1,2,0,3,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,2,2,1,1,0,0,0
1,1,0,2,1,2,0,1,1,1,0,0,1,2,2,0,1,0,0,0,0,2,0,0,3,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0
1,0,1,0,1,0,1,1,1,1,2,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,3,0,1,2,3,0,1,0
1,0,1,0,2,1,3,0,1,1,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,2,2,0,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,1,2,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,2,1,0,1,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,4,1,0,1,1,0,2,0
0,2,0,0,2,2,0,3,2,0,1,0,0,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0
2,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,2,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,1,2,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0
1,0,0,2,1,0,0,0,2,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,3,0,0,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,1,2,0,0,0,0,1,1,0,2,1,0,0,1,2,0,2,2,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0
0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,2,1,0,2,0,1,2,1,0,3,0,0,1,0,0,1,1,0,0,0,1,1,1,0
0,0,0,0,1,1,3,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,1,0,0,0,1,1,1,1,1,2,2,0,0,1,0,0,0,0,1,1,0,1,0
0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,3,0,0,2,1,1,0,0,1,0,1,0,2,0,0,2,2,2,0,0,2,0,0,1,1,0
1,1,0,1,2,0,0,0,0,0,0,1,0,0,2,1,0,1,3,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,1,2,0,0,1,0,1,1,0,2,0,0,0
0,1,0,2,0,1,1,1,1,0,2,3,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,1,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,3,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,2,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,1,2,5,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,2,1,0,1,2,0,1,0,1,2,0,2,0,0,0,1,0,0,1,1,0
1,0,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,0,1,1,1,0,0,3,0,1,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,3,0,1,0,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,2,2,1,0,0,1,0,2,0,0,2,1,0,1,1,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,2,1,0,1,1,1,1,0,0,1,1,0,0,3,0,0,0,2,1,0,0,1,2,0,2,2,2,0,0,0
2,0,0,0,4,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,1,3,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,1,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,1,3,0,0,2,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,0,0,1,0,0,1,0,3,0,1,1,1,1,2,1,0,0,1,1,0
0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,3,2,1,0,1,0,1,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
2,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,0,1,2,1,1,0,0,0,0,1,1,0
2,0,0,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,0,1,1,1,0,3,0,0,0,1,0,1,0,0,3,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,0,5,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,3,2,1,0,1,1,0
1,0,3,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,1,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,2,1,0,1,2,0,0,1,3,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,0,0,3,1,1,0,0,4,1,1,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0
2,0,0,1,0,1,1,1,0,0,1,2,1,1,0,0,0,0,0,1,0,3,1,0,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,1,0,0,1,1,0,0,1,1,0,2,0
1,0,0,1,1,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,0,0,0,1,3,0,2,1,1,0,1,3,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,2,0,1,0,3,0,1,0,0,1,0,0
0,1,1,0,0,0,1,3,1,1,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0
0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,2,2,1,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,2,1,1,2,0,0,1,1,2,1,1,0,0
2,0,0,2,0,1,1,0,2,0,0,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,0,0,0,1,1,0,3,0,1,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,2,0,3,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,2,0,1,4,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,1,4,1,0,0,0,1,1,0
0,1,1,0,0,0,0,0,0,2,0,0,3,1,1,0,1,0,0,1,0,1,2,0,1,0,1,1,1,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,2,1,1,1,0,2,0,1,0,0,0,2,1,1,1,0,0,0,1,0,1,1,0,0,1,2,1,0,0
2,1,0,2,1,0,0,0,1,1,3,0,0,0,0,1,0,1,3,0,1,0,0,0,1,1,0,1,0,0,1,2,1,0,0,3,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,2,1,2,1,1,0,0,1,1,2,1,1,1,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0
0,2,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,2,2,1,1,2,0,2,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,2,1,0,1,1,1,0,1,2,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0
1,0,3,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0
0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,4,1,1,1,1,1,0,3,0,2,1,0,1,0,1,0,0,1,1,0,1,0
2,1,1,3,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,3,0,1,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,3,1,2,0,0,1,1,1,1,2,0,1,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0
1,1,2,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,2,0,1,2,1,0,0,0,1,1,2,0,2,1,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,2,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,2,0,1,1,0,0,3,0,0,1,1,0,1,2,0,3,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,3,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,2,2,2,1,1,0,0,0
1,1,0,2,1,2,1,1,1,1,0,0,1,2,2,0,1,0,0,0,0,2,0,0,3,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0
1,0,1,0,1,0,1,1,1,1,2,1,0,1,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,3,0,1,3,0,1,2,3,0,1,0
1,0,1,0,2,1,3,0,1,1,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,2,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,1,3,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,2,1,0,1,0,1,0,1,0,0,1,1,3,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,4,1,0,1,1,0,2,0
0,2,0,0,2,2,0,3,2,0,1,0,0,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,2,2,2,1,0,0,0,0
2,0,0,0,0,1,0,0,1,1,0,3,0,0,0,0,0,2,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,1,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,2,1,0,0,0,2,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,0,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,1,2,0,0,0,0,1,1,0,2,1,0,1,1,2,0,2,2,1,0,0,1,0,0,1,0,2,1,0,0,1,2,0,0,0,0
0,0,1,0,1,0,0,1,1,1,1,1,0,1,2,0,1,0,0,1,1,0,2,0,0,0,0,3,1,0,2,0,1,2,1,0,3,0,0,1,0,0,1,1,0,0,0,1,1,1,0
0,0,0,0,1,1,3,2,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,1,0,0,0,1,1,1,1,1,2,2,0,0,1,0,0,0,0,1,1,1,1,0
0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,3,0,0,2,1,1,0,0,1,0,2,0,2,0,0,2,2,2,0,0,2,0,0,1,1,0
1,1,0,1,2,0,0,0,0,0,0,1,0,0,2,1,0,1,3,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,2,2,0,0,1,0,1,1,1,2,0,0,0
0,1,0,2,0,1,2,1,1,0,2,3,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,1,1,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,3,2,1,2,0,0,0,0,0,2,1,0,0,2,2,0,0,0,2,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,1,2,5,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,2,1,0,2,2,0,1,0,1,2,0,2,0,0,0,1,0,0,1,1,0
1,0,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,1,0,0,3,0,1,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,3,0,1,0,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,2,2,2,1,0,0,1,1,2,0,0,2,1,0,1,1,0,2,2,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,2,1,0,1,1,1,1,0,0,1,1,0,0,3,0,0,0,2,2,0,0,1,2,0,2,2,2,0,0,0
2,0,0,0,4,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,2,3,0,0,0,1,1,0,0,2,0,1,0,1,0,0,2,1,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,1,3,0,0,2,1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,0,1,0,0,1,0,3,0,1,1,1,1,2,1,0,0,1,1,0
0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,2,1,0,1,0,0,3,2,1,0,1,0,1,2,0,0,2,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
3,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,0,1,2,1,1,0,0,1,0,1,1,0
2,0,0,0,1,0,0,0,1,0,2,0,1,0,1,1,2,1,1,1,0,1,1,1,0,3,0,0,0,1,0,1,0,0,3,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,0,5,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,3,2,1,0,1,1,0
1,0,3,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,0,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,1,0,1,0,1,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,2,1,0,1,2,0,0,1,3,0,1,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,0,0,3,1,1,0,0,4,1,1,2,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0
2,0,0,1,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,1,0,3,1,0,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,1,0,0,1,1,0,0,1,1,0,2,0
1,0,0,2,1,3,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,0,0,0,1,3,0,2,1,1,0,1,3,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,2,0,1,0,3,1,1,0,0,1,1,0
0,1,1,0,0,0,1,3,1,1,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,2,1,0,1,0
0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,2,2,1,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,2,2,0,0,0,2,1,1,2,0,0,1,1,2,1,1,1,0
2,0,0,2,0,1,1,0,2,0,0,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,1,0,3,0,2,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,2,0,3,2,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,2,1,1,4,0,0,0,1,0,0,1,1,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,1,4,1,0,0,0,1,1,0
0,1,1,0,0,0,0,0,0,2,0,0,3,1,1,1,1,0,0,1,0,1,3,0,1,0,1,1,1,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,2,2,1,1,0,2,0,1,0,0,0,2,2,1,1,0,0,0,1,0,1,1,0,0,1,2,1,0,0
2,1,0,2,1,0,0,0,1,1,3,0,0,0,0,1,0,1,3,0,1,0,0,0,1,2,0,1,0,0,1,2,1,0,0,3,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,2,1,2,1,2,0,0,1,1,3,1,1,1,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0
0,2,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,2,2,1,1,2,0,2,1,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,2,1,0,1,2,1,0,1,2,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0
1,0,3,0,1,1,2,1,2,1,0,0,2,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0
0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,1,0,4,1,1,1,1,1,0,3,0,2,1,0,1,0,1,0,0,1,1,0,1,0
2,2,1,3,0,1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,3,0,1,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,3,1,2,0,0,1,1,1,1,2,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,0
1,1,2,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,2,0,1,2,1,0,0,0,2,1,2,0,2,2,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,2,0,1,1,0,0,3,0,0,1,1,0,2,2,0,3,0,0,0,0,0,0
2,0,0,0,0,2,1,2,0,1,1,0,1,0,0,0,0,1,2,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,3,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,2,2,2,1,1,0,0,0
1,1,0,2,1,2,1,1,1,1,0,0,1,2,2,0,1,0,0,0,0,2,0,0,3,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0
1,0,1,0,2,0,1,1,1,1,2,1,0,1,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,3,1,1,3,0,1,2,3,0,1,0
1,0,1,0,2,1,3,0,1,2,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,0,1,0,2,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,2,4,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,2,1,0,1,0,1,0,1,0,1,1,1,3,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,4,1,0,1,1,0,2,0
0,2,0,0,2,2,0,3,2,0,1,0,1,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,2,0,0,1,0,0,2,2,2,1,0,0,0,0
2,0,1,0,0,1,0,0,1,1,0,3,0,0,0,0,0,2,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,2,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,2,1,0,0,0,2,2,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,1,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,1,2,0,0,0,0,2,1,0,3,1,0,1,1,2,0,2,2,1,0,0,1,0,0,1,0,2,1,0,0,1,2,0,0,0,0
0,0,1,0,1,0,0,1,1,1,1,1,0,1,2,0,1,0,0,1,1,0,2,0,0,0,0,4,1,0,2,0,2,2,1,0,3,0,0,1,0,0,1,1,0,0,0,1,1,1,0
0,0,0,0,1,1,3,2,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,1,0,0,0,1,1,1,1,1,2,2,0,0,2,0,0,0,0,1,1,1,2,0
0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,3,0,0,2,1,1,0,0,2,0,2,0,2,0,0,2,2,2,0,0,3,0,0,1,1,0
1,1,0,1,2,0,0,0,1,0,0,1,0,0,2,1,0,1,3,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,2,2,0,0,1,0,1,1,1,2,1,0,0
1,1,0,2,0,1,2,1,1,0,3,3,0,0,1,1,1,0,0,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,2,1,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,3,2,1,2,0,0,0,0,0,2,1,0,0,2,3,0,0,0,2,0,0,0,2,0,0,0
0,0,0,1,0,0,0,0,1,2,5,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,2,1,0,2,2,0,1,0,1,2,0,2,0,0,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,1,0,0,4,0,1,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,3,0,1,0,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,2,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,0,3,2,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,2,1,0,1,1,1,1,1,0,1,1,0,0,3,0,0,0,2,2,0,0,1,2,0,2,2,2,0,0,0
2,0,0,0,4,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,2,3,0,0,1,1,1,0,0,3,0,1,0,1,0,0,2,1,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,2,3,0,0,2,1,1,1,1,0,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,0,1,0,1,1,0,3,0,1,1,1,1,2,1,0,0,1,1,0
0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,2,1,0,1,0,0,3,2,1,0,1,0,1,2,0,0,2,0,0,4,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
3,1,2,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,0,1,3,1,1,0,0,1,0,1,1,0
2,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,1,1,0,1,1,1,0,3,0,0,0,1,0,1,1,0,3,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,0,5,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,3,2,1,0,1,1,0
1,0,4,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,1,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,1,0,1,0,1,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,2,1,0,1,2,0,0,1,3,0,1,1,0,0,1,0,3,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,0,0,1,0,2,0,1,0,0
2,0,0,1,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,1,1,3,1,0,1,0,1,0,0,1,0,0,0,1,1,1,2,2,0,1,0,0,1,1,0,0,1,1,0,2,0
1,0,0,2,1,3,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,2,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,0,0,0,1,3,0,2,1,1,0,1,3,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,0,0,1,1,0
0,1,1,0,0,0,1,3,1,1,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,2,2,1,0,3,0,0,1,1,2,0,0,0,1,0,0,0,0,2,2,0,0,0,2,1,1,2,0,0,1,1,2,1,1,1,0
3,0,0,2,0,1,1,0,2,0,0,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,2,0,0,1,1,0,3,0,2,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,2,0,3,2,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,2,1,1,0,0,2,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,2,1,1,4,0,0,0,1,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,2,0,0,1,1,4,1,0,0,0,1,1,0
0,1,1,0,0,1,1,0,0,2,0,0,3,1,1,1,1,0,0,1,0,1,3,0,1,0,1,1,1,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,2,2,2,1,1,0,2,0,1,0,0,0,2,3,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,1,0,2,1,0,0,0,1,1,3,0,0,0,0,1,0,1,3,0,1,0,0,0,2,2,0,1,0,0,1,2,1,0,0,3,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,2,1,2,1,2,0,0,2,1,3,1,1,1,0,0,0,0,0,0,0,1,3,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0
0,3,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,2,2,1,1,2,0,2,2,1,0,1,0,0,1,0,0
0,0,0,1,1,0,1,1,1,1,1,1,2,1,0,1,2,1,1,1,2,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,2,2,0,0,2,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0
0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,2,0,4,1,1,1,1,1,0,3,0,2,1,0,1,0,1,0,0,1,1,0,1,0
2,2,1,3,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,3,0,1,0,0,1,3,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0
1,0,1,4,1,2,0,0,1,1,1,1,2,0,1,1,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,0
1,1,3,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,2,0,1,2,1,0,0,1,2,1,2,0,2,2,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,3,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,2,0,1,1,0,0,3,0,0,1,1,1,2,2,0,3,0,0,0,0,0,0
2,0,0,0,0,3,1,2,0,1,1,0,1,0,0,0,0,1,2,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,4,2,0,0,0,1,0,0,0,1,0,1,1,0,1,1,2,2,2,1,1,0,0,0
1,1,0,2,1,2,1,1,1,2,0,0,1,2,2,0,1,0,0,0,0,2,0,0,4,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0
1,0,1,0,2,0,1,1,1,1,2,1,0,1,0,2,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,3,1,1,3,0,1,2,3,0,1,0
1,0,1,0,2,1,3,0,1,2,0,1,0,0,1,3,1,0,0,2,2,0,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,0,1,0,2,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,2,4,0,1,0,2,1,0,1,1,0,0,1,0,0,0,1,0,4,2,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,2,1,0,1,0,1,0,1,1,1,1,1,3,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,0,2,3,0,3,2,0,1,0,1,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,2,0,0,1,0,0,2,3,2,1,0,0,0,0
2,0,1,0,0,1,0,0,1,1,0,3,0,0,0,0,0,2,2,1,0,0,2,0,0,1,2,2,1,0,1,0,2,1,2,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,2,1,0,0,0,2,2,2,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,1,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,1,2,0,0,0,0,2,1,0,4,1,0,1,1,2,0,2,2,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,0,0
0,0,1,1,1,0,0,1,1,1,1,1,0,1,2,0,1,0,0,1,1,0,2,0,0,0,0,4,1,0,2,0,2,2,1,0,3,0,0,1,0,0,1,1,0,0,0,1,1,2,0
0,0,0,0,1,1,3,2,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,1,0,0,0,1,1,1,2,1,2,3,0,0,2,0,0,0,0,1,1,1,2,0
0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,3,0,0,2,1,1,0,0,2,0,2,1,2,0,0,2,2,2,0,0,3,0,0,1,1,0
1,1,0,1,2,0,0,0,1,0,0,1,0,0,2,1,0,1,3,0,2,0,0,1,1,2,0,0,0,2,1,1,0,0,2,1,0,0,2,2,0,0,1,0,1,1,1,2,1,0,0
1,2,0,2,0,1,2,1,1,0,3,3,0,0,1,1,1,0,1,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,2,1,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,3,2,1,2,0,0,1,0,1,2,1,0,0,2,3,0,0,0,2,0,0,0,2,0,0,0
0,0,1,2,0,0,0,0,1,2,5,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,2,1,0,2,2,0,1,0,1,2,0,2,0,0,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,1,0,0,4,0,1,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,4,0,1,1,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,2,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,2,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,2,1,0,1,1,1,1,1,0,1,1,0,0,3,0,0,0,2,2,0,0,1,2,0,3,2,2,0,0,0
2,0,1,0,4,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,2,0,1,0,0,1,1,0,0,0,2,3,0,0,1,1,1,0,0,3,0,1,0,1,0,0,2,1,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,0,0,2,3,0,0,2,1,1,1,1,0,1,0,1,2,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,0,1,0,1,1,0,3,0,1,2,1,1,2,1,0,0,1,2,0
0,0,0,0,1,0,2,1,2,0,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,0,1,0,1,3,0,0,2,0,0,4,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0
3,1,2,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,0,2,0,0,0,3,0,1,3,1,1,0,1,1,0,1,1,0
2,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,1,1,1,1,1,1,1,3,0,0,0,1,0,1,1,0,3,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,1,5,0,0,0,0,2,0,0,1,1,1,1,0,0,0,2,2,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,3,2,1,0,1,1,0
1,0,4,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,3,1,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,2,0,1,0,1,0,1,0,1,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,2,2,0,1,3,0,0,1,3,0,1,1,0,0,1,0,3,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,0,0,2,1,1,0,0,0,1,0,0,0,2,2,1,0,1,2,1,0,0,0,1,0,2,0,1,0,0
2,0,0,1,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,1,1,3,2,0,1,0,2,0,0,1,0,0,0,1,1,1,2,2,0,1,0,0,1,1,0,0,1,1,0,2,0
1,0,0,2,1,3,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,2,1,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,1,0,0,1,3,0,2,1,1,0,1,3,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,0,1,1,1,0
0,1,1,1,1,0,1,3,1,1,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,2,0,0,1,1,1,0,2,2,1,0,3,0,0,1,1,2,0,0,0,1,0,0,0,0,2,2,0,0,0,2,1,1,2,0,0,1,2,2,1,1,1,0
3,0,0,2,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,2,0,0,2,1,0,3,0,2,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,0,1,1,2,0,0,2,0,3,2,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,2,1,1,0,0,2,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,2,1,1,4,0,0,0,1,0,0,1,1,0,0,1,1,1,3,0,0,0,1,1,2,0,0,1,1,4,1,0,1,0,1,1,0
0,1,1,0,0,1,1,0,0,2,0,0,3,2,1,2,1,0,0,1,0,1,3,0,1,0,1,1,1,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,2,2,2,1,2,0,2,0,1,0,0,0,2,3,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,1,0,2,1,1,0,0,1,1,3,0,0,0,0,1,0,1,3,0,1,1,0,0,2,2,0,1,0,0,1,2,1,0,0,3,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,2,1,2,1,2,0,0,2,1,3,1,1,1,0,0,0,0,0,0,0,1,3,1,0,2,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0
0,3,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,2,0,0,0,1,1,0,0,1,2,0,1,0,2,2,1,1,2,0,2,2,1,0,1,0,0,1,0,0
1,0,0,1,1,0,1,1,1,1,1,1,2,1,0,1,2,1,1,1,3,2,3,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,3,2,0,0,2,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0
0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,2,0,4,1,1,2,1,1,0,3,0,2,1,0,1,1,1,0,0,1,1,0,1,0
2,2,1,3,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,3,0,1,0,0,1,3,0,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0
1,0,1,4,1,2,0,1,1,1,1,1,2,0,1,1,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0
1,1,4,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,2,0,1,2,1,0,1,1,2,1,2,0,2,2,0,0,0,0,0,0,1,0,0,0
1,0,2,0,2,0,0,1,0,0,0,0,3,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,2,0,1,1,0,0,3,0,0,1,1,1,3,2,0,3,0,0,0,0,0,0
2,0,0,0,0,3,1,2,0,1,1,0,1,0,0,0,0,2,2,1,1,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,4,2,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,2,2,1,1,0,0,0
1,1,0,2,1,2,1,1,1,2,0,0,1,2,2,0,1,0,0,0,0,2,0,0,4,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,2,1,0,0,2,0,0,0,0,1,0
1,0,1,0,2,0,1,1,1,1,2,1,0,1,0,2,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,3,2,1,3,0,2,2,3,0,1,0
1,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,0,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,0,1,0,3,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,0,2,4,0,1,0,2,1,0,1,1,0,0,1,0,0,1,1,1,4,2,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,2,0,2,0,0,1,2,1,1,1,0,1,0,2,1,1,1,1,3,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,0,2,3,0,3,2,0,1,0,1,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,0,1,1,0,2,3,2,1,0,0,0,0
2,0,1,0,0,1,0,0,1,1,0,3,0,0,0,0,1,2,2,1,1,0,2,0,0,1,2,2,1,0,1,0,2,1,2,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,2,1,1,0,0,2,2,2,1,1,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,3,0,1,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,1,2,1,2,0,0,0,0,2,1,2,0,0,0,0,2,1,0,4,1,0,1,1,2,0,2,2,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0
0,0,1,1,1,0,0,1,1,1,1,1,0,2,2,0,1,0,0,1,1,0,2,0,0,0,0,4,1,0,2,0,2,2,1,0,3,0,1,1,0,0,1,1,0,0,0,1,1,2,0
0,0,0,0,1,1,3,2,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,1,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,0,0,1,1,2,2,0
0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,2,1,1,0,0,2,1,2,1,2,0,0,2,2,2,0,0,3,0,0,1,1,0
1,1,0,1,2,0,0,0,1,0,0,1,0,0,2,1,0,2,3,0,2,0,0,1,1,2,0,0,0,2,1,1,0,0,2,1,0,0,2,2,0,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,0,0,1,1,1,0,1,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,2,1,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,3,2,1,2,0,0,1,0,1,2,1,0,0,2,4,0,0,0,2,0,0,0,2,0,0,0
0,0,1,2,0,0,0,0,1,2,6,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,2,2,1,0,2,2,0,1,0,1,2,0,2,0,0,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,0,1,0,0,2,0,0,0,1,1,3,0,1,0,1,0,0,0,4,0,1,1,0
0,1,1,2,0,0,0,0,2,1,1,0,1,0,0,1,2,1,0,0,0,0,0,1,3,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,2,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,2,1,0,1,1,1,1,1,0,2,1,0,0,3,0,0,0,2,2,0,0,1,2,0,3,3,2,0,0,0
2,0,1,0,4,1,1,0,0,0,1,0,1,1,0,0,1,2,1,1,2,0,1,0,0,1,1,0,0,0,2,4,0,0,1,1,1,0,0,3,0,1,0,1,0,0,2,1,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,0,2,0,2,3,0,0,2,1,1,1,1,0,1,0,1,2,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,0,1,0,2,1,0,4,0,1,2,1,1,2,1,0,0,1,2,0
0,0,0,0,1,0,2,1,2,0,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,0,1,0,1,3,0,0,2,0,0,4,1,1,1,0,2,0,1,0,1,0,0,0,1,1,0
3,1,2,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,1,1,1,2,0,2,1,0,1,0,0,1,0,0,2,0,0,0,3,0,1,3,1,1,0,1,1,0,1,1,0
2,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,1,1,1,1,1,1,1,3,0,0,0,1,0,2,1,0,4,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,1,5,1,0,0,0,2,0,0,1,1,1,1,0,0,0,2,2,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,3,2,1,1,1,1,0
1,0,4,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,4,1,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,2,0,1,0,1,0,1,0,1,0,1,0,0,0
0,0,0,0,0,0,1,1,2,0,2,1,2,1,1,0,2,2,0,1,3,0,0,1,3,0,1,1,1,0,1,0,3,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,1,0,2,1,1,0,0,0,1,0,0,0,2,2,1,0,1,2,2,0,0,0,1,0,2,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,0,0,1,1,3,2,0,1,0,2,0,0,1,0,0,0,1,1,1,2,2,0,1,0,0,1,1,0,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,2,1,1,1,1,0,2,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,1,0,0,1,3,0,2,1,1,0,1,3,1,2,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,0,1,1,1,0
0,1,2,1,1,0,1,3,1,1,1,1,2,0,2,1,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,2,0,0,1,1,1,0,2,2,1,0,4,0,0,1,1,2,0,0,0,1,0,0,0,0,2,2,0,0,0,2,2,1,2,0,0,1,2,2,1,1,1,0
3,1,0,2,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,2,0,0,2,1,0,3,0,3,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,2,1,1,0,0,3,0,0,0
0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,3,1,1,4,0,0,0,1,0,0,1,1,0,1,1,1,1,3,0,0,0,1,1,2,0,0,1,1,4,1,0,1,0,1,1,0
0,1,1,0,0,1,1,0,0,2,0,0,4,3,1,2,1,0,0,1,0,1,3,0,1,0,1,1,1,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,2,0,0,1,2,2,2,1,2,0,2,0,1,0,0,0,2,3,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,1,0,2,1,1,0,0,1,1,4,0,0,0,0,1,0,1,3,0,1,1,0,0,2,2,0,1,0,0,1,2,1,0,0,4,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,2,1,2,1,2,0,0,2,1,3,1,1,1,0,0,0,0,0,0,0,1,3,1,0,2,1,1,1,0,1,1,1,1,1,0,1,2,0,0,0,0,1,2,1,1,0,0
0,3,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,0,2,0,0,0,1,1,0,0,1,2,0,1,0,2,2,1,1,2,0,2,3,1,0,1,0,0,1,0,0
1,0,0,1,1,0,1,1,1,1,1,1,3,1,0,1,2,1,1,1,3,2,3,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,3,2,0,0,2,1,0,0,0,0,1,1,0,2,1,1,0,0,0,1,1,1,1,2,2,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0
0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,2,0,4,1,1,2,1,1,0,3,0,2,1,0,1,1,1,0,0,1,2,0,2,0
2,2,1,3,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,3,0,2,1,0,1,3,0,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0
1,0,1,4,1,2,0,1,1,1,1,1,2,0,1,1,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,1,1,0,2,1,1,0,0
1,1,5,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,1,2,0,1,2,1,0,1,1,2,1,2,0,2,2,0,0,0,0,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,0,0,0,3,1,1,1,1,0,0,1,1,2,1,0,0,1,1,1,0,2,0,1,1,0,0,3,0,0,1,1,1,3,2,0,3,0,0,0,0,0,0
2,0,0,0,0,3,1,2,0,1,1,0,1,0,0,0,0,2,2,1,1,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,1,1,5,2,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,2,2,1,1,0,0,0
1,1,0,2,1,2,1,1,1,3,0,0,1,2,2,0,1,0,0,0,0,2,0,0,4,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,2,1,0,0,2,0,0,0,0,1,0
1,0,1,0,2,0,1,1,1,1,2,1,0,1,0,2,0,0,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,3,2,1,3,0,2,2,3,0,1,0
1,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,0,0,1,0,0,1,2,1,1,2,0,0,1,0,1,0,0,0,1,0,3,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,1,2,4,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,1,4,2,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,3,0,2,0,0,1,2,1,1,1,0,1,0,2,2,1,1,1,3,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,0,2,3,0,3,2,0,1,0,1,0,0,0,3,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,0,1,1,1,2,3,3,1,0,0,0,0
2,0,1,0,0,1,0,0,1,1,0,3,0,0,1,0,1,2,2,1,1,0,2,0,0,1,2,2,1,0,1,0,2,2,2,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,1,1,0,1,2,0,1,1,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,3,0,1,1,0,2,1,1,0,1,2,0,0,2,1,1,0
0,0,0,1,0,1,1,2,1,2,0,0,0,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,2,2,0,2,2,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0
0,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,2,0,0,0,1,4,1,0,2,0,2,2,1,0,3,0,1,1,0,0,1,1,0,0,0,1,1,2,0
0,0,0,0,1,1,3,2,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,0,0,1,1,2,2,0
0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,2,1,1,0,0,2,1,2,1,2,0,0,3,3,2,0,0,3,0,0,1,1,0
1,1,0,1,2,1,0,0,1,0,0,1,0,0,2,1,1,2,3,0,2,0,0,1,1,2,0,0,0,2,1,1,0,0,2,1,0,0,2,2,0,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,1,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0
1,0,2,2,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,3,3,1,2,0,0,1,0,1,2,1,0,0,2,4,0,0,0,2,0,0,0,2,0,0,0
0,0,1,2,0,0,0,0,1,2,6,1,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,1,2,2,1,0,2,2,0,1,0,1,2,0,2,0,1,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,0,2,0,0,3,0,0,0,1,1,3,0,1,0,1,0,0,0,4,0,1,1,0
0,1,1,2,1,0,0,0,3,1,1,0,1,0,0,1,2,1,0,0,0,0,0,1,3,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,2,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,2,1,1,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,3,0,0,0,2,2,0,0,1,2,0,3,3,2,0,0,0
2,0,1,0,4,1,1,0,0,0,1,0,1,1,0,0,2,2,1,1,2,0,1,0,0,1,1,0,0,0,2,4,0,0,1,1,1,0,0,3,0,1,0,1,0,0,2,2,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,1,2,0,2,3,0,0,2,1,1,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,0,1,0,2,1,0,4,0,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,0,2,1,2,0,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,0,1,0,1,3,0,0,2,0,0,4,1,1,1,0,2,0,1,1,1,0,0,0,1,1,0
3,1,2,0,1,0,0,0,0,0,2,1,1,2,0,1,1,1,0,0,1,1,1,2,0,2,1,1,1,0,0,1,0,0,2,0,0,0,3,0,1,3,1,1,0,1,1,0,1,1,0
3,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,1,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0
0,0,1,5,1,0,0,0,2,0,0,1,2,1,1,0,0,0,2,2,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,1,1,0,2,0,0,3,2,1,1,1,1,0
1,1,5,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,4,1,1,1,1,0,1,1,2,0,2,0,1,1,1,0,3,2,0,1,0,1,0,1,0,1,0,1,0,0,0
0,0,0,0,1,0,1,1,3,0,2,1,2,1,1,0,2,2,0,1,3,0,0,1,3,0,1,1,1,0,1,0,3,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,2,0,0,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,1,0,2,1,1,1,0,0,1,0,0,0,2,2,1,0,1,2,2,0,0,0,1,1,2,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,0,0,1,1,3,2,0,1,0,2,0,1,2,0,0,0,1,1,1,2,2,0,1,0,0,1,1,0,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,2,2,1,1,1,1,0,3,0,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,1,0,0,1,3,0,3,1,1,0,1,3,1,2,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,0,1,1,1,0
0,1,2,1,1,0,1,3,2,1,1,1,2,1,2,1,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,3,0,0,1,1,1,0,2,2,1,0,4,1,0,1,1,2,0,0,0,1,0,0,0,0,2,2,0,0,0,2,2,1,2,0,0,1,2,2,1,1,1,0
3,1,1,3,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,0,0,1,2,1,0,1,1,2,0,0,2,1,0,3,0,3,1,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,2,1,1,1,1,3,0,0,0
0,0,1,2,1,0,1,0,1,1,0,0,0,0,1,3,1,1,4,0,1,0,1,0,0,1,1,0,1,1,1,1,3,0,0,0,1,1,2,0,0,1,1,4,1,0,1,0,1,1,0
0,1,1,0,0,1,1,0,0,2,1,0,4,3,1,2,1,0,0,1,0,1,3,0,1,0,1,1,2,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,2,0,0,1,2,2,2,1,2,0,2,0,1,0,0,0,2,4,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,2,0,2,1,1,0,0,1,1,4,0,0,0,0,1,0,1,3,0,1,1,0,0,2,2,0,1,0,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,3,1,2,1,2,0,0,2,1,3,1,1,1,0,0,0,0,0,0,0,1,3,1,0,2,1,1,1,0,1,1,1,1,1,0,1,2,0,0,0,0,1,2,1,2,0,0
0,3,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,0,2,0,0,0,2,1,0,0,1,2,0,1,0,2,2,1,1,2,0,2,3,1,0,1,0,0,1,1,0
1,1,0,1,1,0,1,1,1,1,1,1,3,1,0,1,2,1,1,1,3,2,3,0,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,3,2,0,0,2,1,0,0,0,0,1,1,0,2,1,1,0,0,0,1,1,1,2,2,3,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0
0,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,2,0,4,1,1,2,1,1,0,3,0,2,1,0,1,1,2,0,0,1,2,0,2,0
2,2,1,3,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,2,1,0,0,3,0,2,1,0,1,4,0,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0
1,0,1,4,1,3,0,1,1,1,1,1,2,0,1,1,3,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,1,1,0,2,1,1,0,0
1,1,5,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,2,0,1,2,1,0,1,1,2,1,2,0,2,2,0,0,0,1,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,1,0,0,3,1,1,1,1,0,0,1,1,2,1,0,0,1,1,1,0,2,0,1,1,0,0,3,0,1,1,1,1,3,2,0,3,0,0,0,0,0,0
2,1,0,0,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,1,1,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,1,5,2,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,2,2,1,1,1,0,0
1,1,0,2,1,2,1,1,1,3,0,0,2,2,2,0,1,0,0,0,0,2,0,0,4,0,2,1,0,0,1,1,1,0,1,0,0,1,1,1,2,1,0,0,2,0,0,0,0,1,0
1,0,1,0,2,0,1,1,1,1,2,2,0,1,0,2,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,3,2,1,3,0,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,1,0,1,0,0,1,2,1,1,2,0,0,1,0,1,0,0,0,1,0,3,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,1,2,4,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,1,4,2,0,1,1,1,0,0,0,1,0,3,2,0,0,1,0,0,0,0,0,1,2,1,0
0,0,0,0,1,0,3,0,2,0,1,1,2,1,1,1,0,1,0,2,2,1,1,1,3,0,0,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,0,2,3,0,3,2,0,1,0,1,0,0,0,3,1,0,0,2,1,0,0,1,0,0,1,2,1,0,1,0,1,2,0,0,2,0,0,1,1,1,2,3,3,1,0,0,0,0
2,0,1,0,0,1,0,0,1,1,1,3,0,0,1,0,1,2,2,1,1,0,2,0,0,1,2,3,1,0,1,0,2,2,2,2,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,1,1,0,1,2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,2,0,0,0,3,0,1,1,0,2,1,1,1,1,2,0,0,2,1,1,0
1,0,0,1,0,1,1,2,1,2,0,0,0,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,2,2,1,2,2,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0
0,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,2,0,0,0,1,4,2,0,2,0,2,2,1,0,3,0,1,1,0,0,1,1,0,0,0,1,1,3,0
0,1,1,0,1,1,3,2,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,3,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,0,0,1,1,2,2,0
0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,2,1,2,0,0,2,1,2,1,2,0,0,3,4,2,0,0,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,0,1,0,0,2,1,1,2,3,0,2,0,0,1,1,2,0,0,0,2,2,1,0,0,2,1,0,0,2,2,0,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,2,0,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0
1,0,2,2,1,1,2,1,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,3,3,1,2,0,0,1,0,1,2,1,0,0,2,4,0,0,0,2,0,0,0,2,0,0,0
0,0,1,2,0,0,0,0,1,2,6,1,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,1,2,3,2,0,2,2,0,1,0,1,2,0,2,0,1,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,0,3,0,0,3,0,0,0,1,1,3,0,1,0,1,0,0,0,4,1,1,1,0
0,1,1,2,1,0,0,0,3,1,1,0,1,0,0,1,3,1,0,0,0,0,0,1,3,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,3,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,2,2,1,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,3,0,0,0,2,2,0,0,1,2,0,3,3,2,0,0,0
2,0,1,0,4,1,1,0,0,0,1,1,1,1,0,0,2,2,1,1,2,0,1,0,0,2,1,0,0,0,2,4,0,0,1,1,1,0,0,3,0,1,0,1,0,0,2,2,1,0,0
0,0,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,1,2,0,2,3,0,1,2,1,1,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,1,1,2,0,1,0,2,1,0,0,0,1,0,3,2,0,0,2,0,0,3,0,1,1,1,0,2,1,0,4,0,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,0,2,1,2,0,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,0,2,0,1,3,0,0,2,0,0,4,1,1,1,0,2,0,1,1,1,0,0,0,2,1,0
3,1,3,0,1,0,0,0,0,0,2,1,1,2,0,1,1,1,0,0,1,1,1,2,0,2,1,1,1,0,0,1,0,0,2,0,1,0,3,0,1,3,1,1,0,1,1,0,1,1,0
3,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,1,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,2,0,0,0,2,0,2,0,0,1,0,0,0,2,0
0,0,1,5,1,0,0,0,2,0,0,1,2,1,1,0,0,0,2,2,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,2,1,0,2,0,0,3,2,1,1,1,2,0
1,1,5,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,4,1,1,1,1,0,1,1,2,0,2,0,1,2,2,0,3,2,0,1,0,1,0,1,0,1,0,1,0,0,0
0,0,0,0,1,0,1,1,3,0,2,1,2,1,1,1,2,2,0,1,3,0,0,1,3,0,1,1,1,0,1,0,3,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,1,0,2,1,1,1,0,0,1,0,0,0,2,2,1,0,1,2,2,0,0,0,1,1,2,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,0,0,1,2,3,2,0,1,0,2,0,1,2,0,0,0,1,2,1,2,2,0,1,0,0,1,1,0,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,2,1,0,1,1,0,2,2,1,1,1,1,0,3,1,1,0,1,0,0,0,1,1,2,0,1,2,0,1,0
0,1,0,0,1,3,0,3,1,1,0,2,3,1,2,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,1,1,1,1,0
0,1,2,2,1,0,1,3,2,1,1,1,3,1,2,1,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,3,0,0,1,1,1,0,2,2,1,0,4,1,0,1,1,2,1,0,0,1,0,0,0,0,2,2,0,0,0,2,2,1,3,0,0,1,2,2,1,1,1,0
3,1,1,3,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,0,0,1,3,1,0,1,1,2,0,0,2,1,0,3,0,3,2,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,0,1,1,0,1,0,0,1,2,1,1,0,1,2,1,1,1,1,3,0,0,0
0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,3,1,1,4,0,1,0,1,0,0,1,1,0,1,1,1,1,3,0,0,0,1,1,2,1,0,1,1,4,1,0,1,0,1,1,0
0,1,1,0,0,1,2,0,0,2,1,0,4,3,1,2,1,0,0,1,0,1,3,0,1,0,2,1,2,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0
1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,2,0,0,1,2,2,2,1,2,0,2,1,1,0,0,0,2,4,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,3,0,1,1,0,0,2,2,0,1,0,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,0,3,1,2,1,2,1,0,2,1,3,1,1,1,0,0,0,0,0,0,0,1,3,1,0,2,1,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,1,2,1,2,0,0
0,3,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,0,2,0,0,0,2,1,0,1,1,3,0,1,0,2,2,1,1,2,0,2,3,1,0,1,0,0,1,1,0
1,1,0,2,1,0,1,1,1,1,1,1,3,1,0,1,2,1,1,1,3,2,3,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,3,2,0,1,2,1,0,0,0,0,1,1,0,2,1,1,0,0,0,1,1,1,2,2,3,0,2,0,1,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,2,0,2,0,1,1,1,0,0,1,1,2,0,4,1,1,2,1,1,0,3,0,2,1,0,1,1,2,0,0,1,2,0,2,0
2,2,1,3,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,2,1,0,0,4,0,2,1,0,1,4,0,0,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0
1,0,1,4,1,3,0,1,1,1,1,1,3,0,1,1,3,2,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,1,1,0,2,1,1,0,0
1,1,5,1,1,0,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,0,0,0,1,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,1,0,0,3,1,1,2,1,0,0,1,1,2,1,0,0,1,1,1,0,2,0,1,1,0,0,3,0,1,1,1,1,3,2,0,3,1,0,0,0,0,0
2,1,0,0,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,1,1,1,2,2,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,2,2,1,1,0,1,1,1,5,2,0,0,0,1,0,0,0,2,0,1,1,0,1,1,3,2,2,1,1,1,0,0
1,1,0,2,1,2,2,1,1,3,0,0,2,2,2,0,1,0,0,0,0,2,0,0,4,0,2,1,0,1,1,1,1,0,1,0,0,1,1,1,2,1,0,0,2,0,0,0,0,1,0
2,0,1,0,2,0,1,1,1,1,2,2,0,1,0,2,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,3,2,1,3,1,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,1,1,1,0,1,1,2,1,1,2,0,0,1,0,1,0,0,0,1,0,3,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,1,2,4,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,1,4,2,0,1,1,1,0,0,0,1,0,3,2,0,0,1,0,1,0,1,0,1,2,1,0
0,0,0,0,1,0,3,0,2,0,1,1,2,1,1,1,0,1,2,2,2,1,1,1,3,0,0,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,0,2,3,0,3,2,0,1,0,1,0,0,0,3,1,1,0,2,1,0,0,1,0,0,1,2,1,0,1,0,1,2,0,0,2,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,3,0,0,1,0,1,2,2,1,1,0,2,0,0,1,2,3,1,0,1,0,2,2,2,2,0,1,2,0,1,1,1,0,1,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,1,1,0,1,2,0,1,1,1,1,0,0,0,1,1,0,0,1,1,2,0,0,0,3,0,1,1,1,2,1,1,1,1,2,0,0,2,1,1,0
1,0,0,1,0,1,1,2,1,2,0,0,0,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,2,1,2,2,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0
1,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,2,0,0,0,1,4,2,0,2,0,2,2,1,0,3,0,1,1,0,0,1,1,0,0,0,1,1,4,0
0,1,1,0,1,1,3,2,1,1,1,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,3,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,0,1,1,1,2,2,0
0,1,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,2,1,2,0,0,2,1,2,1,2,0,1,3,4,2,0,0,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,0,1,0,0,2,1,1,2,3,1,2,0,0,1,1,2,0,0,0,2,2,1,0,0,2,1,0,0,2,2,1,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,2,1,0,1,3,0,1,0,1,0,0,1,2,2,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0
1,0,2,2,1,1,2,1,1,2,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,3,3,1,2,0,0,1,0,1,2,1,0,0,2,4,0,0,0,2,0,0,0,2,0,1,0
1,0,1,2,0,0,0,0,1,2,7,1,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,1,2,3,2,0,2,2,0,1,0,1,2,0,2,0,1,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,0,3,0,0,3,0,0,0,1,2,4,0,1,0,1,0,0,0,4,1,1,1,0
0,1,1,2,1,0,0,0,3,1,1,0,1,0,1,1,3,1,0,0,0,0,0,2,3,2,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,3,0,1,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,2,2,1,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,4,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,1,0,4,1,1,0,0,0,1,1,1,1,0,0,2,2,1,1,2,0,1,0,0,2,1,0,0,0,2,4,0,0,1,1,1,1,0,3,0,1,0,1,0,0,2,2,1,0,0
0,1,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,1,2,0,2,3,0,1,2,1,2,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0
0,2,0,0,0,0,1,0,0,1,1,2,0,1,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,3,0,1,1,1,0,2,1,1,4,0,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,0,2,1,2,0,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,0,2,0,1,3,0,0,2,0,1,4,1,1,2,0,2,0,1,1,1,0,0,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,1,2,0,1,1,1,0,1,1,1,1,2,0,2,1,1,1,0,0,1,0,0,2,0,1,0,3,0,1,3,1,1,0,1,1,0,1,1,0
3,0,0,0,1,0,0,0,1,0,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,2,0,0,0,2,0,2,1,0,1,0,0,0,2,0
0,0,1,5,1,0,0,0,2,0,0,1,3,1,1,0,0,0,2,3,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,2,1,0,2,0,0,3,2,1,1,1,2,0
1,1,5,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,4,1,1,1,1,0,1,1,2,0,2,0,1,2,2,0,3,2,0,1,0,1,0,2,0,1,0,1,0,1,0
0,0,0,0,1,0,1,1,3,0,2,1,2,1,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,3,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,1,1,0,0,4,1,1,2,1,0,1,0,2,2,1,1,0,0,1,0,0,0,2,2,1,0,1,2,2,0,1,0,1,1,2,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,1,0,1,2,3,2,0,1,0,2,0,1,2,0,0,0,1,2,1,2,3,0,1,0,0,1,1,0,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,2,1,0,1,1,0,2,2,1,1,1,1,0,3,1,1,0,1,0,0,0,1,1,2,0,1,3,0,2,0
0,1,0,0,1,3,0,3,1,1,0,3,3,1,2,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,1,2,0,0,2,0,1,0,3,1,2,1,1,2,1,0
0,1,2,2,1,1,1,3,2,1,1,1,3,1,2,1,0,1,0,1,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,2,1,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,3,0,0,1,1,1,0,3,2,1,0,4,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,2,2,1,3,0,0,1,2,2,1,1,1,0
3,1,1,3,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,0,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,0,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,0,1,1,0,2,0,0,1,2,1,1,0,1,3,1,1,1,1,3,0,0,0
0,0,2,2,1,1,1,0,1,1,0,0,0,0,1,3,1,1,4,0,1,0,1,0,0,1,1,0,1,1,1,1,3,0,0,1,1,1,2,1,0,1,1,4,1,0,1,0,1,1,0
0,1,1,0,0,1,2,0,0,2,1,0,4,3,1,2,1,0,0,1,1,1,3,0,1,0,2,1,2,1,0,0,0,3,3,0,0,1,0,1,0,0,0,2,1,0,0,1,0,2,0
1,2,0,1,0,1,1,1,0,0,2,1,0,1,1,1,1,2,0,0,1,2,2,2,1,2,0,2,1,1,0,0,0,2,4,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
2,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,3,0,1,2,0,0,2,2,0,1,0,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0
0,0,0,0,3,1,2,1,2,1,0,2,1,4,1,1,1,0,0,0,0,0,0,0,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,1,2,1,2,0,0
0,3,1,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,1,2,0,0,0,2,1,0,1,1,3,0,1,0,2,2,1,1,2,0,2,3,1,0,1,0,0,1,1,0
1,1,0,3,1,0,1,1,1,1,1,1,3,1,0,2,2,1,1,1,3,2,3,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,2,1,0
1,0,3,0,1,1,2,1,3,2,0,1,2,1,0,0,1,0,1,1,0,2,1,1,0,0,0,1,1,1,2,2,3,1,2,0,1,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,2,0,2,0,1,1,1,1,0,1,1,2,0,4,1,1,2,1,1,0,3,1,2,1,0,1,1,2,0,0,1,2,0,2,0
2,2,1,3,0,1,1,1,0,1,1,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,0,2,1,0,1,4,0,0,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0
1,0,1,4,1,3,0,1,1,1,1,1,3,0,1,1,3,2,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,2,1,1,1,2,1,1,0,0
1,1,5,1,1,0,1,0,0,2,2,1,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,0,0,0,2,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,1,1,0,3,1,1,2,1,0,0,1,1,2,2,0,0,1,1,1,0,2,0,1,1,0,0,3,0,1,1,1,1,3,2,0,3,1,0,0,0,0,0
2,1,0,0,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,2,2,3,0,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,2,2,1,1,0,1,1,1,5,2,0,0,0,1,0,0,0,3,0,1,1,1,1,1,3,2,2,1,1,1,0,0
1,1,0,2,1,2,2,1,1,3,0,1,2,2,2,0,1,0,0,0,0,2,0,0,4,0,2,1,0,1,1,1,1,0,1,0,0,1,1,2,2,1,0,0,2,0,0,0,0,1,0
2,0,1,0,2,0,1,1,1,1,2,2,0,1,0,2,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,1,3,1,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,1,1,1,1,1,1,2,2,1,2,0,0,1,0,1,0,0,0,1,0,3,2,1,0,1,1,0,0,1,0
0,3,1,0,1,0,1,1,2,4,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,1,4,2,0,2,1,1,1,0,0,1,0,3,2,0,0,1,0,1,0,1,0,1,2,1,0
1,0,0,0,2,0,3,0,2,0,1,1,2,1,1,1,0,1,2,2,2,1,1,1,3,0,0,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,1,2,3,0,3,2,0,1,0,1,0,0,0,3,1,1,0,3,1,0,0,1,0,0,1,2,1,0,1,0,1,2,0,0,2,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,3,0,0,1,0,1,2,2,1,1,0,2,0,0,1,2,4,1,0,1,0,2,2,2,2,0,1,2,0,1,1,1,1,1,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,1,2,0,1,2,0,1,1,1,1,0,0,0,1,1,0,0,1,1,2,0,0,0,3,0,1,1,1,2,1,1,1,1,2,1,0,2,1,1,0
1,0,0,1,1,1,1,2,1,2,0,0,0,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,2,1,2,2,1,0,0,1,0,0,1,0,2,2,0,0,2,2,0,0,1,0
1,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,0,0,0,2,4,2,0,2,0,2,2,1,0,3,0,1,1,0,0,1,1,0,0,0,1,1,4,0
1,1,1,0,1,1,3,2,1,1,1,1,1,1,0,0,0,0,0,2,1,2,0,0,0,0,1,3,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,0,1,1,1,2,2,0
0,1,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,3,1,2,0,0,2,2,2,1,2,0,1,3,4,2,0,0,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,0,1,0,1,3,1,1,2,3,1,2,0,0,1,1,2,0,0,0,2,2,1,0,0,2,1,0,0,2,2,1,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,2,1,0,1,3,0,1,0,1,0,0,1,2,2,1,1,2,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0
1,0,2,2,1,1,2,1,1,2,0,0,0,2,1,0,0,0,1,0,1,1,0,1,2,3,3,1,2,0,0,1,0,1,2,1,0,0,3,4,0,0,0,2,0,0,0,2,0,1,0
1,0,1,2,0,0,0,0,1,2,7,1,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,2,3,2,0,3,2,0,1,0,1,2,0,2,0,1,0,1,0,1,1,1,0
1,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,1,3,0,0,3,0,0,0,1,2,4,0,1,0,1,0,0,0,4,2,1,1,0
0,1,1,2,1,0,0,0,3,1,1,0,1,0,1,1,3,1,0,0,0,0,0,2,3,3,2,1,0,0,1,1,3,0,0,2,1,0,1,1,2,3,3,0,1,0,0,0,0,1,0
0,1,1,1,0,1,0,0,1,1,2,0,1,1,1,2,2,1,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,4,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,1,0,4,1,1,0,0,0,1,1,1,1,0,0,3,2,1,1,2,0,1,0,0,2,1,0,0,0,2,4,0,0,1,1,1,1,0,3,0,1,0,1,0,0,2,3,1,0,0
1,1,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,1,2,0,2,3,0,1,2,1,2,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0
1,2,0,0,0,0,1,0,0,1,1,2,0,1,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,3,0,1,1,1,1,2,1,1,4,0,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,0,2,1,2,1,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,1,4,1,1,2,0,2,0,1,1,1,0,0,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,1,2,0,1,1,1,1,1,1,1,1,2,0,2,1,2,1,0,0,1,0,0,2,0,1,0,3,0,1,3,1,1,0,1,1,0,1,1,0
3,0,0,0,1,0,0,0,1,0,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,2,0,0,0,2,0,2,1,0,1,0,0,0,2,0
1,0,1,5,1,0,0,0,2,0,0,1,3,1,1,0,0,0,2,3,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,1,3,1,0,2,0,0,3,2,1,1,1,2,0
1,1,6,1,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,1,4,1,1,1,1,0,1,1,2,0,2,0,1,2,2,0,3,2,0,1,0,1,0,2,0,1,0,1,0,1,0
0,0,0,0,1,0,1,1,3,0,2,1,2,2,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,0,4,1,1,3,1,0,1,0,2,2,1,1,0,0,1,0,0,0,2,2,1,0,1,2,2,0,1,0,1,1,2,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,1,0,2,2,3,2,0,1,0,2,0,1,2,0,0,0,1,3,1,2,3,0,1,0,0,1,1,0,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,2,1,1,2,1,0,2,2,1,1,1,1,0,3,1,1,0,1,0,0,0,1,1,2,0,1,3,0,2,0
0,1,0,0,1,3,0,3,1,1,0,3,3,1,2,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,3,1,0,1,2,0,0,2,0,1,0,3,1,2,1,1,3,1,0
0,1,2,2,1,1,1,3,2,1,1,1,3,1,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,2,2,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,3,0,0,1,1,1,0,3,2,1,1,4,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,3,2,1,3,0,0,1,2,2,1,1,1,0
3,1,1,3,0,1,1,0,2,0,1,0,0,0,0,1,3,0,0,0,1,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,1,0,3,0,0,1,0,2,0,0,0,0
1,0,0,1,2,1,3,1,1,1,0,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,1,1,1,0,2,0,0,1,2,1,1,0,1,3,1,1,1,1,3,0,0,0
0,0,2,2,1,1,1,0,1,1,0,0,0,0,1,3,1,1,4,0,1,0,2,0,0,1,1,0,1,1,1,1,3,0,0,1,1,1,2,1,0,1,1,4,1,1,1,0,1,1,0
0,1,1,0,0,1,2,0,0,2,1,0,4,3,1,2,1,0,0,1,1,1,3,0,1,0,2,1,2,1,0,0,0,3,4,0,0,1,0,1,0,0,0,2,1,0,0,1,0,3,0
1,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,2,0,2,1,1,0,0,0,2,4,1,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0
3,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,4,0,1,2,0,0,2,2,0,1,0,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0
0,0,0,0,3,1,2,1,2,1,0,2,1,4,1,1,1,0,0,0,0,0,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,1,2,2,2,0,0
0,4,1,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,1,2,0,0,0,2,1,0,1,1,3,0,1,0,2,2,1,1,2,0,2,3,1,0,1,0,0,2,1,0
1,1,0,3,1,0,1,1,1,1,1,1,4,1,0,2,2,1,1,1,3,2,3,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,3,1,0
1,0,3,0,1,1,2,1,3,2,0,1,2,1,0,0,1,0,1,1,0,2,1,1,0,0,0,1,1,1,2,2,3,1,3,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,0,1,0,2,0,1,0,1,2,0,1,0,0,0,2,0,2,0,1,1,1,1,0,1,1,2,0,4,1,1,2,1,1,1,3,1,2,1,0,1,1,2,0,0,1,2,0,2,0
2,2,1,3,1,1,1,1,0,1,1,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,1,2,1,0,1,4,0,0,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0
1,0,1,4,1,3,0,1,1,1,1,1,3,0,1,1,3,2,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,1,2,1,1,1,2,1,2,0,0
1,1,5,1,2,0,1,0,0,2,2,1,0,0,0,0,2,0,1,1,1,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,0,0,0,2,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,1,1,0,3,1,2,2,1,0,0,1,1,2,2,0,0,1,1,1,0,3,0,1,1,0,0,3,0,1,1,1,1,3,2,0,3,1,0,0,0,0,0
2,1,0,0,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,1,1,0,0,2,1,0,0,1,0,1,1,1,1,1,1,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,0,1,1,0,0,1,0,0,0,1,0,2,2,1,1,0,1,1,1,5,2,0,0,0,1,0,0,0,3,0,1,1,1,2,1,3,2,2,1,1,1,0,0
1,1,1,2,1,2,2,1,1,3,0,1,2,2,2,0,1,0,0,0,0,2,0,0,4,0,2,1,0,1,1,1,1,0,1,0,0,1,1,2,2,1,0,0,2,0,1,0,0,1,0
2,0,1,0,2,0,1,1,1,1,2,2,0,1,0,2,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,1,4,1,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,1,0,0,2,2,1,1,1,1,1,1,2,2,1,2,0,0,2,0,1,0,0,0,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,1,4,2,0,2,1,1,1,0,0,1,1,3,2,0,0,1,0,1,0,1,0,1,2,1,0
1,0,0,0,2,0,3,0,2,0,1,1,2,2,1,1,0,1,2,2,2,1,1,1,3,0,0,2,0,0,2,0,0,1,1,1,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,1,2,3,0,3,2,0,1,0,1,0,0,0,4,1,1,0,3,1,0,0,1,1,0,1,2,1,0,1,0,1,2,0,0,2,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,3,0,0,1,1,1,2,2,1,2,0,2,0,0,1,2,4,1,0,1,0,2,2,2,2,0,1,2,0,1,1,1,1,1,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,1,2,0,1,2,0,1,1,1,1,0,0,0,1,1,0,0,1,2,2,0,0,0,3,0,1,1,1,2,1,1,1,1,2,1,1,2,1,1,0
1,0,0,1,1,1,1,2,1,2,0,0,1,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,2,1,2,3,1,0,0,1,0,0,1,0,2,2,0,0,2,2,0,0,1,0
1,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,0,0,0,2,4,2,0,2,0,2,2,2,0,3,1,1,1,0,0,1,1,0,0,0,1,1,4,0
1,1,1,0,1,1,3,2,1,1,1,1,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,3,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,1,1,1,1,2,2,0
0,2,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,0,0,1,3,0,0,3,1,2,0,0,2,2,2,1,3,0,1,3,4,2,0,0,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,0,1,0,1,4,1,1,2,3,1,2,0,0,1,1,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,1,0,1,1,2,2,1,0,0
1,3,0,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,3,1,0,1,3,0,1,0,1,0,0,1,2,2,1,1,2,2,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0
1,0,2,2,1,1,2,1,1,2,0,0,0,2,1,0,0,0,1,0,1,1,0,1,2,3,3,1,2,0,0,1,0,1,2,1,0,0,3,4,0,0,0,2,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,2,7,1,1,0,1,0,1,0,1,0,0,1,0,0,1,2,1,1,1,2,3,2,0,3,2,0,1,0,1,2,0,2,0,1,0,1,0,1,1,1,0
2,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,1,3,0,0,3,0,0,0,1,2,4,0,1,0,2,0,0,0,4,2,1,1,0
0,1,1,2,1,0,0,0,3,1,1,0,1,0,1,1,3,1,0,0,0,0,0,2,3,3,2,1,0,0,1,2,3,0,1,2,1,0,1,1,2,3,3,0,1,0,0,0,0,1,0
0,1,1,1,0,1,0,0,1,1,3,0,1,1,1,2,2,1,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,5,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,1,0,4,1,1,0,0,0,1,1,1,1,0,0,3,2,2,1,2,0,1,0,0,2,1,0,1,0,2,4,0,0,1,1,1,1,0,3,0,1,0,1,0,0,2,3,1,0,0
1,1,0,2,1,2,0,3,1,1,1,0,2,1,0,0,1,0,1,2,0,2,3,1,1,2,2,2,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0
1,2,0,0,0,0,1,0,0,1,1,2,0,1,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,4,0,1,1,1,1,2,2,1,4,0,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,0,2,1,2,1,0,1,2,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,4,1,1,2,0,2,0,1,1,1,0,1,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,1,2,1,1,1,1,1,1,1,1,1,2,0,2,1,2,1,0,0,1,0,0,2,0,1,0,3,0,1,3,1,1,0,1,1,0,1,2,0
3,0,0,0,1,0,0,0,1,0,3,1,1,1,1,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,3,0,0,0,2,0,2,1,0,1,0,0,0,2,0
1,0,2,5,1,0,0,0,2,0,0,1,3,1,1,0,0,0,2,3,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,2,3,1,0,2,0,0,3,2,1,1,1,2,0
1,1,6,1,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,2,4,1,1,1,1,0,1,1,2,0,2,0,1,2,2,0,3,2,0,1,0,1,0,2,0,1,0,1,0,1,0
0,0,0,0,2,0,1,1,3,0,2,1,2,2,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,0,4,1,1,3,1,0,1,0,2,2,1,1,0,0,1,0,0,0,2,2,1,1,1,2,2,0,1,0,1,1,3,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,1,0,2,2,3,2,0,1,0,3,0,1,2,0,0,0,1,3,1,2,3,0,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,2,2,1,3,1,0,2,2,1,1,1,1,0,3,1,1,0,1,0,0,0,1,1,2,0,1,3,0,2,0
0,1,0,0,1,3,0,3,1,1,0,3,3,1,2,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,3,1,0,1,2,1,0,2,0,1,0,3,1,2,1,1,3,1,0
0,1,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,2,3,1,1,0,1,2,1,1,1,0
0,0,0,0,2,0,0,0,3,1,0,1,1,1,0,3,2,1,1,4,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,3,2,1,3,1,0,1,2,2,1,1,1,0
3,1,1,3,0,1,1,0,2,0,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,1,0,3,0,0,1,0,2,0,0,1,0
1,0,0,1,2,1,3,1,2,1,1,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,1,1,1,0,2,0,0,1,2,1,1,0,1,3,1,1,1,1,3,0,0,0
0,0,2,2,1,1,1,0,2,1,0,0,0,0,1,3,1,1,4,0,1,0,2,0,0,1,1,0,1,2,1,1,3,0,0,1,1,1,2,1,0,1,1,4,1,1,1,0,1,1,0
0,1,1,0,0,2,2,0,0,2,1,0,4,3,1,2,1,0,0,1,1,1,3,1,1,0,2,1,2,1,0,0,0,3,4,0,0,1,0,1,0,0,0,2,1,0,0,1,0,3,0
1,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,2,0,2,1,1,0,0,0,2,4,1,2,0,0,2,1,0,1,1,0,0,1,2,1,0,0
3,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,1,1,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0
0,0,0,0,4,1,2,2,2,1,0,2,1,4,1,1,1,0,0,0,0,0,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,1,2,2,2,0,0
0,4,1,0,2,1,1,1,0,1,0,0,0,0,1,1,2,1,2,0,0,1,2,0,0,0,2,1,1,1,1,3,0,1,0,2,2,1,1,3,0,2,3,1,0,1,0,0,2,1,0
1,1,0,3,1,0,1,1,1,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,3,1,0
1,0,3,0,1,1,2,1,3,2,0,1,2,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,3,3,1,3,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,0,1,0,2,0,1,0,1,2,0,1,0,0,0,2,0,2,0,1,1,1,1,0,1,1,2,1,4,1,1,2,1,1,1,3,1,2,2,0,1,1,2,0,0,1,2,0,2,0
2,2,1,4,1,1,2,1,0,1,1,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,1,2,1,0,1,4,0,0,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0
1,0,1,4,2,3,0,1,1,1,1,1,3,0,1,1,3,2,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,1,2,1,1,2,2,1,2,0,0
1,1,5,1,2,1,1,0,0,2,2,1,0,0,0,0,2,0,1,1,1,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,0,0,2,0,0,1,0,0,0
1,0,3,0,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,0,0,1,1,1,0,3,0,1,1,0,0,3,0,1,1,2,1,3,2,0,3,1,0,0,0,0,0
2,1,0,0,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,1,1,0,0,2,1,0,1,1,0,1,2,1,1,1,1,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,1,1,1,0,0,1,0,0,0,1,0,2,2,1,1,0,1,1,1,5,3,0,0,0,1,0,0,0,3,0,1,1,1,2,1,3,2,2,1,1,1,0,0
1,1,1,2,1,2,2,1,1,3,0,1,3,2,2,0,1,0,0,0,0,2,0,0,4,0,2,1,0,1,1,1,2,0,1,0,0,1,1,2,2,1,0,0,2,0,1,0,0,1,0
2,0,1,0,2,0,1,1,2,1,2,2,0,1,0,2,0,0,1,2,2,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,1,4,1,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,3,2,0,0,2,2,1,1,1,1,1,1,2,2,1,2,0,0,2,0,1,0,0,1,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,2,1,1,1,2,0,0,1,0,0,1,1,1,4,2,0,2,1,1,1,0,0,2,1,3,2,0,0,1,0,1,0,1,0,1,2,1,0
1,0,0,0,2,0,3,1,2,0,2,1,2,2,1,1,0,1,2,2,2,1,1,1,3,0,0,2,0,0,2,0,0,1,1,1,0,1,1,1,0,0,1,4,1,0,1,1,1,2,0
0,2,0,1,2,3,0,3,2,0,1,0,1,0,0,0,4,1,1,0,3,1,0,0,1,2,0,1,2,1,0,1,0,1,3,0,0,2,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,3,0,0,1,1,1,2,2,1,2,0,2,0,0,1,3,4,1,0,1,0,2,3,2,2,0,1,2,0,1,1,1,1,1,0,0,1,0,1,0
2,0,0,3,1,1,0,0,2,2,2,2,2,0,1,2,0,1,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,0,3,0,1,1,1,2,1,1,1,1,2,1,1,2,1,1,0
1,0,0,1,1,1,1,2,2,2,0,0,1,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,2,1,2,3,1,0,0,1,0,1,1,0,2,2,0,0,2,2,0,0,1,0
1,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,1,1,0,2,4,2,0,2,0,2,2,2,0,3,1,1,1,0,0,1,1,0,0,0,1,1,4,0
1,1,1,0,1,1,3,2,1,1,1,2,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,4,2,0,0,0,1,2,1,2,1,2,3,0,0,2,0,0,1,1,1,1,2,2,0
0,2,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,3,0,0,3,1,2,0,0,2,2,2,1,3,0,1,3,4,2,0,1,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,1,1,0,1,4,1,1,2,3,1,2,0,0,1,2,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,1,0,1,1,2,2,1,0,0
1,3,1,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,3,1,0,1,3,0,1,0,1,0,0,1,2,2,1,1,2,2,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0
1,0,2,2,1,1,2,1,1,2,0,1,0,2,1,0,0,0,1,0,1,1,0,1,2,3,3,1,2,0,0,1,0,1,2,1,1,0,3,4,0,0,0,2,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,2,7,1,1,0,1,1,1,0,1,0,0,1,0,0,1,2,1,1,1,2,3,2,0,3,2,0,1,0,1,2,0,2,0,2,0,1,0,1,1,1,0
2,1,0,0,0,0,1,2,1,3,0,0,0,1,0,1,1,1,2,1,2,0,0,4,0,1,1,0,1,3,0,1,3,0,0,0,1,2,4,0,1,0,2,0,0,0,4,2,1,2,0
0,1,1,2,1,0,0,0,3,1,2,0,1,0,1,1,3,2,0,0,0,0,0,2,3,3,2,1,0,0,1,2,3,0,1,2,1,0,1,1,2,3,3,0,1,0,0,0,0,1,0
0,2,1,1,0,1,0,0,1,1,3,0,1,1,1,2,2,2,0,0,1,2,1,0,1,1,1,1,1,0,2,1,0,0,5,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,1,0,4,1,1,0,0,0,1,1,2,1,0,0,3,2,2,1,2,0,1,0,0,2,1,0,1,0,2,4,0,0,1,1,1,1,0,3,0,1,0,1,0,1,2,3,1,0,0
1,1,0,2,1,2,0,4,1,1,1,0,2,1,0,0,2,0,1,2,0,2,3,1,1,2,2,2,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0
1,2,0,0,0,0,1,0,0,1,1,2,0,2,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,4,0,1,1,1,1,2,2,1,4,1,1,2,1,1,2,1,1,0,1,2,0
0,0,0,1,1,1,2,1,2,1,0,1,3,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,4,1,1,2,0,2,0,1,1,1,0,1,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,2,2,1,1,1,1,1,1,1,1,1,2,0,2,1,2,1,0,0,1,0,0,2,0,1,0,3,0,1,3,1,1,1,1,1,0,1,2,0
3,0,1,0,1,0,0,0,1,0,3,1,1,1,1,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,3,0,1,0,2,0,2,1,0,1,0,0,0,2,0
1,0,2,5,1,0,0,0,2,0,0,1,3,1,1,0,0,1,2,3,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,2,3,1,0,2,0,1,3,2,1,1,1,2,0
1,1,6,1,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,2,4,1,1,1,1,0,1,1,2,0,2,0,1,2,2,0,3,2,1,1,0,1,0,2,0,1,0,2,0,1,0
0,0,0,0,2,0,1,1,3,1,2,1,2,2,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,0,4,1,1,3,1,0,1,0,2,3,1,1,0,0,1,1,0,0,2,2,1,1,1,2,2,0,1,0,1,1,3,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,1,0,3,2,3,2,0,1,0,3,0,1,2,0,0,0,1,3,1,2,3,1,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,2,2,1,3,1,0,2,2,2,1,1,1,0,3,1,1,0,1,0,0,0,2,1,2,0,1,3,0,2,0
0,1,0,0,1,3,0,3,1,1,0,3,3,1,2,0,1,2,0,2,0,1,0,0,0,0,2,0,0,0,1,0,3,1,0,1,3,1,0,2,0,1,0,3,1,2,1,1,3,1,0
0,1,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,1,1,0,2,3,1,1,0,1,2,1,1,1,0
1,0,0,0,2,0,1,0,3,1,0,1,1,1,0,3,2,1,1,4,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,3,2,1,3,1,0,1,2,2,1,1,1,0
4,1,2,3,0,1,1,0,2,0,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,1,0,3,0,0,1,0,2,0,0,1,0
1,0,0,1,2,1,3,1,2,3,1,0,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,1,1,1,0,2,0,0,1,2,1,1,0,1,3,1,1,1,1,3,0,0,0
0,1,2,2,1,1,1,0,2,1,0,0,0,0,1,3,1,1,4,0,1,0,2,0,0,1,1,0,1,2,1,1,3,0,0,1,1,1,2,1,0,1,1,4,2,1,1,0,1,1,0
0,1,1,0,0,2,2,0,0,2,1,1,4,3,1,2,1,0,0,1,1,1,3,1,1,0,2,1,2,1,0,0,1,3,4,0,0,1,0,1,0,0,0,2,1,0,0,1,0,3,0
2,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,2,0,2,1,1,0,0,0,2,4,1,2,1,0,2,1,0,1,1,0,0,1,2,1,0,0
3,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,2,1,0,1,3,1,0,0,4,2,1,1,0,1,0,0,0,0,1,1,0,1,1,0
0,0,0,0,4,1,2,2,2,1,0,2,1,4,1,1,1,0,0,0,0,1,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,1,0,0,0,1,2,2,2,0,0
0,4,1,0,2,1,2,1,0,1,0,0,0,0,1,1,2,1,2,0,0,1,2,0,0,0,2,1,1,1,1,3,0,1,0,2,2,1,1,3,0,2,3,1,0,1,1,0,2,1,0
1,1,0,3,1,0,1,1,2,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,4,1,0
1,0,3,0,1,1,2,1,3,2,0,1,3,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,3,3,1,4,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,1,1,0,2,0,1,0,1,2,0,1,0,0,1,2,0,2,0,1,1,1,1,0,1,1,2,1,4,1,1,2,1,1,1,3,1,2,2,0,1,1,2,0,0,1,2,0,2,0
2,3,1,4,1,1,2,1,0,1,1,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,1,2,1,0,1,5,0,0,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0
1,0,1,4,2,3,0,1,1,1,1,1,3,0,1,1,3,3,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,1,2,1,1,2,2,1,2,1,0
2,1,5,1,2,1,1,0,0,2,2,1,0,0,0,0,3,0,1,1,1,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,0,0,2,0,0,1,0,0,0
2,0,3,0,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,0,0,2,1,1,0,3,0,1,1,0,0,3,0,1,1,2,1,3,2,0,3,1,0,0,0,0,0
2,1,0,1,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,1,1,0,0,2,1,0,2,1,0,1,2,1,1,1,1,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,1,1,1,0,0,1,0,0,0,1,0,3,2,1,2,0,1,1,1,5,3,0,0,0,1,0,0,0,3,0,1,1,1,2,1,3,2,2,1,1,1,0,0
1,1,1,2,1,2,2,1,1,3,0,1,3,2,2,0,1,0,0,1,0,2,0,0,4,0,2,1,0,1,1,1,2,0,1,0,0,1,1,2,2,2,0,0,2,0,1,0,0,1,0
2,0,1,0,2,0,1,1,2,1,2,2,0,2,0,2,0,0,1,2,2,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,1,4,2,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,4,2,0,0,2,2,1,1,1,1,1,1,2,2,1,3,0,0,2,0,1,0,0,1,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,3,1,1,1,2,1,0,1,0,0,1,1,1,4,2,0,2,1,1,1,0,0,2,1,3,2,0,0,1,0,1,0,1,0,1,2,1,0
1,0,0,0,2,0,3,1,2,0,2,1,2,2,1,1,0,1,2,2,2,1,1,1,3,0,0,2,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,4,1,0,1,1,2,2,0
0,2,0,1,2,3,0,3,2,0,1,0,1,1,0,0,4,1,1,0,3,1,0,0,1,2,0,1,2,1,0,1,0,1,3,0,0,3,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,4,0,0,1,1,1,2,2,1,2,0,2,0,0,1,3,4,1,0,1,0,2,3,2,2,0,1,2,0,1,1,1,1,1,0,0,1,0,2,0
2,0,0,3,1,1,0,0,2,2,2,2,2,0,1,2,0,1,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,0,3,0,1,1,1,2,1,1,1,2,3,1,1,2,1,1,0
1,0,0,1,1,1,2,2,2,2,0,0,1,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,3,1,2,3,1,0,0,1,0,1,1,0,2,2,0,0,2,2,0,0,1,0
1,0,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,1,1,0,2,4,2,0,2,0,2,3,2,0,3,1,1,1,0,0,1,1,0,0,0,2,1,4,0
1,1,1,0,1,1,3,2,1,1,1,2,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,4,2,0,0,0,1,2,1,2,1,2,4,0,1,2,0,0,1,1,1,1,2,2,0
0,2,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,4,0,0,3,1,2,0,0,2,2,2,1,3,1,1,3,4,2,0,1,3,0,0,1,1,0
1,1,0,1,2,1,1,0,1,0,1,1,0,1,4,1,1,2,3,1,2,0,0,2,2,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,2,0,1,1,2,2,1,0,0
1,3,1,2,0,1,2,1,1,0,3,3,1,0,2,1,1,0,3,1,0,1,3,0,1,0,1,0,0,1,2,2,1,1,2,2,2,1,0,1,1,0,1,1,1,1,0,0,1,0,0
1,0,2,2,1,1,2,1,1,2,0,1,0,2,1,0,0,0,1,0,1,1,0,1,2,3,3,2,2,0,0,1,0,2,2,1,1,0,3,4,0,0,0,2,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,2,7,1,1,0,1,1,1,0,1,0,0,2,0,0,1,2,1,1,1,2,3,2,0,3,2,0,1,0,1,2,0,2,0,3,0,1,0,1,1,1,0
2,1,0,0,0,0,2,2,1,3,0,0,0,2,0,1,1,1,2,1,2,0,0,4,0,1,1,0,1,3,0,1,3,0,0,0,1,2,4,0,1,0,2,0,0,0,4,2,1,2,0
0,1,1,2,1,0,0,0,3,1,3,0,1,0,1,1,3,2,0,0,0,0,0,2,3,3,2,1,0,1,1,2,3,0,1,2,1,0,1,1,2,3,3,0,1,0,0,0,0,1,0
0,2,1,1,0,1,1,0,1,1,3,0,1,1,1,2,2,2,0,0,1,2,2,0,1,1,1,1,1,0,2,1,0,0,5,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,2,0,4,2,1,0,0,0,1,1,2,1,0,0,3,2,2,1,2,0,1,0,0,2,1,0,1,0,2,4,0,0,1,1,1,1,0,3,0,1,0,1,0,1,2,3,1,0,0
1,1,0,2,1,2,0,4,1,1,1,0,2,1,0,0,2,0,1,2,0,2,3,2,1,2,2,2,1,1,0,1,0,1,3,1,0,0,1,0,2,0,1,1,1,0,1,2,0,1,0
1,2,0,0,0,1,1,0,0,1,1,2,0,2,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,4,0,1,1,1,1,2,2,2,4,1,1,2,1,1,2,1,1,0,1,2,0
0,0,1,1,1,1,2,1,3,1,0,1,3,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,4,1,1,2,0,2,0,1,1,1,0,1,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,2,2,1,1,1,1,1,1,1,1,1,2,0,2,1,2,1,0,0,1,0,0,2,0,1,0,3,0,2,3,1,1,1,1,1,1,1,2,0
3,0,1,0,1,0,0,0,1,0,3,1,1,1,1,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,3,0,1,0,2,1,2,1,1,1,0,0,0,2,0
1,0,2,5,1,0,0,0,2,0,0,1,3,1,1,0,0,1,3,3,0,0,0,1,0,0,2,1,2,0,0,1,1,1,1,1,0,2,3,1,0,2,0,1,3,2,1,1,1,2,0
1,1,6,1,1,2,1,1,0,0,0,1,0,1,0,0,1,1,0,2,4,1,1,1,1,0,1,1,3,0,2,0,1,2,2,0,3,2,1,1,0,1,0,2,0,1,0,2,0,1,0
1,0,0,0,2,0,1,2,3,1,2,1,2,2,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,1,4,1,1,3,1,0,1,0,2,3,1,1,0,0,1,1,0,0,2,2,1,1,1,2,3,0,1,0,1,1,3,0,1,0,0
2,0,0,1,0,2,2,1,0,0,1,2,1,1,0,0,1,1,0,4,2,3,3,0,1,0,3,0,1,2,0,0,0,1,3,1,2,3,1,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,1,0,1,0,0,1,1,0,1,2,2,1,3,1,0,2,2,2,1,2,1,0,3,1,1,0,1,0,0,0,2,1,2,0,1,3,0,2,0
0,1,0,0,1,3,1,3,1,1,0,3,3,1,2,0,1,2,0,2,0,1,0,0,0,0,2,0,0,0,1,0,4,1,0,1,3,1,0,2,0,1,0,3,1,2,1,1,3,1,0
0,2,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,2,1,0,2,3,1,1,0,1,2,1,1,1,0
1,0,0,0,2,0,1,0,3,1,0,1,1,1,0,3,2,1,1,4,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,1,0,0,3,2,1,3,1,0,1,2,3,1,1,1,0
4,1,2,3,0,1,1,0,2,1,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,1,0,3,0,0,1,0,2,0,0,2,0
1,0,0,1,2,1,3,1,2,3,1,1,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,1,1,1,0,2,0,0,1,2,2,1,0,1,3,1,1,1,1,3,0,0,0
0,1,2,2,1,1,1,0,2,1,0,0,0,0,1,3,1,1,4,0,1,0,2,0,0,1,2,0,1,2,1,1,3,0,0,1,1,1,2,1,0,1,1,4,2,1,1,1,1,1,0
0,1,1,0,0,2,2,1,0,2,1,1,4,3,1,2,1,0,0,1,1,1,3,1,1,0,2,1,3,1,0,0,1,3,4,0,0,1,0,1,0,0,0,2,1,0,0,1,0,3,0
2,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,3,0,2,1,1,0,0,0,2,4,1,2,1,0,2,1,0,1,1,0,1,1,2,1,0,0
3,2,0,2,1,2,0,0,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,2,1,0,1,3,1,0,0,4,2,3,1,0,1,0,0,0,0,1,1,0,1,1,0
0,0,0,0,4,1,2,2,2,1,0,3,1,4,1,1,1,1,0,0,0,1,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,1,0,0,0,1,2,2,2,0,0
0,4,1,0,2,1,2,1,0,1,0,0,0,0,1,1,2,1,2,0,0,1,2,0,0,0,2,1,1,2,1,3,0,1,0,2,2,1,1,3,0,2,3,1,0,1,1,0,3,1,0
1,1,0,4,1,0,1,1,3,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,4,1,0
2,0,3,0,1,1,3,1,3,2,0,1,3,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,3,3,1,4,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,0
1,0,1,1,0,2,0,1,0,1,2,0,1,0,0,1,2,0,2,0,1,1,1,1,0,1,1,2,1,4,1,1,3,1,1,2,3,1,2,2,0,1,1,2,0,0,1,2,0,2,0
2,3,1,4,1,1,2,1,0,1,1,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,1,2,1,1,1,5,0,0,1,0,0,1,2,2,1,0,1,2,0,0,0,0,0,0
1,0,1,4,2,3,0,1,1,1,1,1,3,0,2,1,3,3,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,1,2,1,1,2,2,1,2,1,0
2,1,5,1,3,1,1,0,0,2,2,1,0,0,0,0,3,0,1,1,2,1,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,0,0,2,0,0,1,0,0,0
2,0,3,1,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,0,0,2,1,1,0,3,0,1,1,0,0,4,0,1,1,2,1,3,2,0,3,1,0,0,0,0,0
2,1,0,1,0,3,2,2,0,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,2,1,0,0,2,1,0,2,1,0,1,2,1,1,1,2,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,1,1,1,0,0,2,0,0,0,1,0,3,2,1,2,0,1,1,1,5,3,0,0,0,1,0,0,0,3,0,1,1,1,2,1,3,2,3,1,1,1,0,0
1,1,2,2,1,2,2,1,1,3,0,1,3,2,2,0,1,0,0,1,0,2,0,0,4,0,2,1,0,1,1,1,2,1,1,0,0,1,1,2,2,2,0,0,2,0,1,0,0,1,0
2,0,1,0,2,0,1,1,2,1,2,2,0,2,0,3,0,0,1,2,2,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,2,4,2,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,4,4,0,0,2,2,1,1,1,1,1,1,2,2,1,3,0,0,2,0,1,0,0,1,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,3,1,1,1,2,1,0,1,0,0,2,1,1,4,2,0,2,1,1,1,0,0,2,1,3,2,0,0,1,0,1,0,1,0,1,3,1,0
1,0,0,0,2,0,3,1,3,0,2,1,2,2,1,1,0,1,2,3,2,1,1,1,3,0,0,2,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,4,1,0,1,1,2,2,0
0,2,0,1,2,3,0,3,2,0,1,1,1,1,0,0,4,1,1,0,3,1,0,0,1,2,0,1,2,1,0,1,0,2,3,0,0,3,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,4,0,0,2,1,1,2,2,1,2,0,2,0,0,1,3,4,1,0,2,0,2,3,2,2,0,1,2,0,1,1,1,1,1,0,0,1,0,2,0
3,0,0,3,1,1,0,0,2,2,2,2,2,0,1,2,0,1,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,0,4,0,1,1,1,2,1,1,1,2,3,1,1,2,1,1,0
1,0,1,1,1,1,2,2,2,2,0,0,1,0,2,1,2,1,0,0,0,2,1,0,4,1,0,1,4,3,1,3,3,1,0,0,1,0,1,1,0,2,2,0,0,2,2,0,0,1,0
1,1,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,1,1,0,2,4,2,0,2,0,2,3,2,0,3,1,1,1,0,0,1,2,0,0,0,2,1,4,0
1,1,1,1,2,1,3,2,1,1,1,2,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,4,2,0,0,0,1,2,1,2,1,2,4,0,1,2,0,0,1,1,1,1,2,2,0
0,3,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,4,0,0,3,1,2,0,0,2,2,3,1,3,1,1,3,4,2,0,1,3,0,0,1,1,0
1,2,0,1,2,1,1,0,1,0,1,1,0,1,4,1,1,2,3,1,2,1,0,2,2,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,2,0,1,1,2,2,1,0,0
1,3,1,2,0,1,2,1,1,0,3,3,1,1,2,1,1,0,3,1,0,1,3,0,1,0,1,0,0,1,2,2,1,2,2,2,2,1,0,1,1,0,1,1,1,1,0,0,1,0,0
1,1,2,2,1,1,2,1,1,2,1,1,0,2,1,0,0,0,1,0,1,1,0,1,2,3,3,2,2,0,0,1,0,2,2,1,1,0,3,4,0,0,0,2,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,3,7,1,1,0,1,1,1,0,1,0,0,2,0,0,1,2,1,1,1,2,3,2,0,4,2,0,1,0,1,2,0,2,0,3,0,1,0,1,1,1,0
2,1,0,0,0,0,2,2,1,3,0,1,0,2,0,1,1,1,2,1,2,0,1,4,0,1,1,0,1,3,0,1,3,0,0,0,1,2,4,0,1,0,2,0,0,0,4,2,1,2,0
0,1,1,2,1,0,0,0,3,1,3,0,1,0,1,1,3,2,0,0,0,0,0,2,3,3,2,1,0,1,1,3,3,0,1,2,1,0,1,1,2,3,4,0,1,0,0,0,0,1,0
0,2,1,1,0,1,1,0,1,1,3,0,1,1,1,2,2,2,0,0,1,2,2,0,1,1,1,1,1,0,3,2,0,0,5,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,2,0,4,2,1,0,0,0,1,1,2,1,0,0,3,2,2,1,2,0,1,0,0,3,1,0,1,0,2,4,0,0,1,1,1,1,0,3,1,1,0,1,0,1,2,3,1,0,0
1,1,0,2,1,2,0,4,1,1,1,0,2,1,0,0,2,0,1,2,0,2,3,2,1,2,2,2,1,1,0,1,0,1,4,1,0,0,1,0,3,0,1,1,1,0,1,2,0,1,0
1,2,0,0,0,1,2,0,0,2,1,2,0,2,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,4,0,1,1,1,1,2,2,2,4,1,1,2,1,1,2,1,1,0,1,2,0
0,0,1,1,2,1,2,1,3,1,0,1,3,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,5,1,1,2,0,2,0,1,1,1,0,1,0,2,1,0
3,1,3,0,1,0,0,0,0,1,2,1,2,2,1,1,1,1,1,1,1,1,1,2,0,2,2,2,1,0,0,1,0,0,2,0,1,0,3,0,2,3,1,1,1,1,1,2,1,2,0
3,0,1,0,1,0,0,0,1,0,3,1,1,1,2,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,3,0,1,0,2,1,2,1,1,1,1,0,0,2,0
1,0,2,5,2,0,0,0,2,0,0,1,3,1,1,0,0,1,3,3,0,0,0,1,0,0,2,1,2,0,0,1,1,1,1,2,0,2,3,1,0,2,0,1,3,2,1,1,1,2,0
1,1,6,1,1,2,1,1,0,0,0,1,0,1,0,0,1,1,0,2,4,1,1,1,2,0,1,1,3,0,2,0,1,2,2,1,3,2,1,1,0,1,0,2,0,1,0,2,0,1,0
1,0,0,0,2,0,1,2,3,1,2,2,2,3,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,1,4,1,1,3,1,0,1,0,3,3,1,1,0,0,1,1,0,0,2,2,1,1,1,2,3,0,1,0,1,1,3,0,1,1,0
2,0,0,1,0,2,2,1,0,0,2,2,1,1,0,0,1,1,0,4,2,3,3,0,1,0,3,0,1,2,0,0,0,1,3,1,2,4,1,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,2,0,1,0,0,1,1,0,1,2,2,1,3,1,0,2,2,2,1,2,1,0,3,1,1,0,1,0,1,0,2,1,2,0,1,3,0,2,0
0,1,0,0,1,3,1,3,1,1,0,3,3,1,2,0,1,2,0,2,0,1,0,0,0,0,2,0,0,0,2,0,4,1,0,1,3,1,0,3,0,1,0,3,1,2,1,1,3,1,0
1,2,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,2,1,0,2,3,1,2,0,1,2,1,1,1,0
1,0,0,0,2,0,1,0,3,1,0,1,1,1,0,3,2,1,1,4,1,0,2,1,2,1,0,0,1,0,0,1,0,3,2,1,0,0,3,2,1,3,1,0,1,2,3,1,1,1,0
4,1,2,3,0,1,1,0,2,1,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,0,0,2,1,0,3,0,3,2,1,1,0,3,0,0,1,0,2,2,0,2,0
2,0,0,1,2,1,3,1,2,3,1,1,1,0,0,1,2,1,1,1,2,0,0,2,0,3,2,0,0,1,1,1,0,2,0,0,1,2,2,1,0,1,4,1,1,1,1,3,0,0,0
0,1,2,2,1,1,1,0,2,2,0,0,1,0,1,3,1,1,4,0,1,0,2,0,0,1,2,0,1,2,1,1,3,0,0,1,1,1,2,1,0,1,1,4,2,1,1,1,1,1,0
0,1,1,0,0,2,2,1,0,2,1,1,4,3,1,2,1,0,0,1,1,1,3,1,1,0,2,1,3,2,0,0,1,3,4,0,0,1,0,2,0,0,0,2,1,0,0,1,0,3,0
2,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,3,0,3,2,1,0,0,0,2,4,1,2,1,0,2,1,0,1,1,0,1,1,2,1,0,0
3,2,0,2,1,2,0,1,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,2,1,0,1,3,1,0,0,5,2,3,1,0,1,0,0,0,0,1,1,0,1,1,0
0,1,0,0,4,1,2,2,2,1,0,3,1,4,1,1,1,1,0,0,0,1,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,1,0,0,0,1,2,3,2,0,0
0,4,1,0,2,1,2,1,0,1,0,0,0,0,1,2,2,1,2,0,0,1,2,0,0,0,2,1,1,2,1,3,0,1,0,2,3,1,1,3,0,2,3,1,0,1,1,0,3,1,0
1,1,1,4,1,0,1,1,3,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,1,4,1,0
2,0,3,0,2,1,3,1,3,2,0,1,3,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,3,3,1,4,0,2,0,0,2,1,0,0,0,0,1,2,0,2,0,0
1,1,1,1,0,2,0,1,0,1,2,0,1,0,0,1,2,0,2,0,1,1,1,1,0,1,1,2,1,4,1,1,3,1,1,2,3,1,2,2,0,1,1,2,0,1,1,2,0,2,0
2,3,1,4,1,1,2,1,0,1,2,2,1,0,2,1,1,1,0,0,0,1,2,1,0,0,4,1,2,1,1,1,5,0,0,1,0,0,2,2,2,1,0,1,2,0,0,0,0,0,0
1,0,3,4,2,3,0,1,1,1,1,1,3,0,2,1,3,3,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,1,2,1,1,2,2,1,2,1,0
3,1,5,1,3,1,1,0,0,2,2,1,0,0,0,0,3,0,1,1,2,2,0,2,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,0,0,2,0,0,1,0,0,0
2,0,3,1,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,0,0,2,1,1,1,3,0,1,1,0,0,4,0,1,1,2,1,3,2,0,3,2,0,0,0,0,0
2,1,0,1,0,3,2,2,1,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,2,1,1,0,2,1,0,2,1,0,1,2,1,1,1,2,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,1,1,1,0,0,2,0,0,0,1,0,3,2,1,2,0,1,1,1,5,3,0,0,0,1,0,0,0,3,0,1,1,1,2,1,3,3,3,1,1,2,0,0
1,1,2,2,1,2,2,1,1,3,1,1,3,3,2,0,1,0,0,1,0,2,0,0,4,0,2,1,0,1,1,1,2,1,1,0,0,1,1,2,2,2,0,0,2,0,1,0,0,1,0
3,0,1,0,2,0,1,1,2,1,2,2,1,2,0,3,0,0,1,2,2,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,2,4,2,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,4,4,0,1,2,2,1,2,1,1,1,1,2,2,1,3,0,0,2,0,1,0,0,1,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,3,1,1,1,2,1,0,1,0,0,2,1,1,5,2,0,2,1,1,1,0,0,2,1,3,2,0,0,1,0,1,0,2,0,1,3,1,0
1,0,0,0,2,0,3,1,3,0,2,1,2,2,2,1,0,1,2,3,2,1,1,1,3,0,1,2,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,4,1,0,1,1,2,2,0
0,2,0,1,2,3,0,3,3,0,2,1,1,1,0,0,4,1,1,0,3,1,0,0,1,2,0,1,2,1,0,1,0,2,3,0,0,3,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,4,0,0,2,1,1,2,2,1,2,0,2,0,0,1,3,4,1,0,2,0,2,3,2,2,0,1,3,0,1,1,1,1,1,0,0,2,0,2,0
3,0,0,3,1,1,0,0,2,2,2,2,2,0,1,2,0,1,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,0,4,0,1,1,1,2,1,1,1,2,3,1,1,4,1,1,0
1,0,1,1,1,1,2,2,2,2,0,0,1,0,3,1,2,1,0,0,0,2,1,0,4,1,0,1,4,3,1,3,3,1,0,1,1,0,1,1,0,2,2,0,0,2,2,0,0,1,0
1,1,1,1,1,0,0,1,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,1,1,1,2,4,2,0,2,0,2,3,2,0,3,1,1,1,0,0,1,2,0,0,0,3,1,4,0
1,1,2,1,3,1,3,2,1,1,1,2,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,4,2,0,0,0,1,2,1,2,1,2,4,0,1,2,0,0,1,1,1,1,2,2,0
0,3,2,0,0,2,0,0,3,0,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,4,0,0,3,1,2,0,0,2,2,3,2,3,1,1,3,4,2,0,1,3,0,0,1,1,0
1,2,0,1,2,1,1,0,1,0,1,1,0,1,4,1,1,2,3,1,4,1,0,2,2,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,2,0,1,1,2,2,1,0,0
1,3,1,2,0,1,2,1,1,0,3,3,1,1,2,1,1,0,3,1,0,2,3,0,1,0,1,0,0,1,2,2,1,2,2,2,2,2,0,1,1,0,1,1,1,1,0,0,1,0,0
1,1,2,2,1,1,2,1,1,2,1,1,0,2,1,0,0,0,1,1,1,1,1,1,2,3,3,2,2,0,0,1,0,2,2,1,1,0,3,4,0,0,0,2,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,3,7,1,1,0,1,1,1,0,1,0,0,2,0,0,1,2,1,1,1,2,3,2,0,5,2,0,1,0,1,2,0,2,0,3,1,1,0,1,1,1,0
2,2,0,0,0,0,2,2,1,3,0,1,0,2,0,1,1,1,2,1,2,0,1,4,0,1,1,0,1,3,0,1,3,0,0,0,1,3,4,0,1,0,2,0,0,0,4,2,1,2,0
0,1,1,2,1,0,0,0,3,1,3,0,1,0,1,1,3,2,0,0,0,0,0,2,3,3,2,1,0,1,1,3,3,0,1,2,1,0,1,1,3,3,4,0,1,1,0,0,0,1,0
0,2,1,1,0,1,1,0,1,1,3,0,1,1,1,2,2,2,0,0,1,2,2,0,1,1,1,1,1,0,3,4,0,0,5,0,0,0,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,2,0,4,2,2,0,0,0,1,1,2,1,0,0,3,2,2,1,2,0,1,0,0,3,1,0,1,0,2,4,0,0,1,1,1,1,0,4,1,1,0,1,0,1,2,3,1,0,0
1,1,0,2,1,2,0,4,1,1,1,0,2,1,0,0,2,0,1,2,0,2,3,2,1,2,2,2,1,1,0,1,0,1,4,1,0,1,1,0,3,0,1,1,2,0,1,2,0,1,0
2,2,0,0,0,1,2,0,0,2,1,2,0,2,0,2,1,0,0,0,2,0,3,2,0,0,2,0,0,4,0,1,1,1,1,2,2,2,4,1,1,2,1,1,2,2,1,0,1,2,0
0,0,1,2,2,1,2,1,3,1,0,1,3,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,5,1,1,2,0,2,0,1,1,1,0,2,0,2,1,0
3,1,3,0,1,1,0,0,0,1,2,1,2,2,1,1,2,1,1,1,1,1,1,2,0,2,2,2,1,0,0,1,0,0,2,0,1,0,3,0,2,3,1,1,1,1,1,2,1,2,0
3,0,1,1,1,0,0,0,1,0,3,1,1,1,3,1,2,2,2,1,1,1,1,1,1,3,0,1,0,1,0,2,1,0,4,2,3,0,1,0,2,1,2,1,1,1,1,0,0,2,0
1,0,2,5,2,0,0,0,2,0,0,1,3,1,1,0,0,1,3,3,0,0,0,1,0,0,2,1,2,0,0,1,1,1,1,2,0,2,3,1,0,2,0,1,3,2,1,2,2,2,0
1,1,6,1,1,2,1,1,0,0,0,1,0,1,0,0,1,1,0,2,4,1,1,1,2,0,1,1,3,0,2,1,1,2,2,1,3,2,1,2,0,1,0,2,0,1,0,2,0,1,0
1,0,0,0,2,0,1,2,3,1,2,2,2,3,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,2,1,0,1,0,0,1,1,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,1,4,1,1,3,1,0,1,0,3,4,1,1,0,0,1,1,0,0,2,2,1,1,1,2,3,0,1,0,2,1,3,0,1,1,0
2,0,0,1,0,2,2,1,0,0,2,2,1,1,0,0,1,1,0,4,2,3,4,0,1,0,3,0,1,2,0,0,0,1,3,2,2,4,1,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,0,2,0,1,1,1,2,0,1,0,0,1,1,0,1,2,2,1,3,1,0,2,3,2,1,2,1,0,3,1,1,0,1,0,1,0,2,2,2,0,1,3,0,2,0
0,1,0,1,1,3,1,3,1,1,0,3,3,2,2,0,1,2,0,2,0,1,0,0,0,0,2,0,0,0,2,0,4,1,0,1,3,1,0,3,0,1,0,3,1,2,1,1,3,1,0
1,2,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,2,2,0,2,3,1,2,0,2,2,1,1,1,0
1,0,0,0,2,0,1,0,3,1,0,1,1,1,0,3,2,1,1,4,1,1,2,1,2,1,0,0,1,0,0,1,0,3,2,1,0,0,3,2,1,4,1,0,1,2,3,1,1,1,0
4,1,2,3,0,1,1,0,2,1,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,1,0,2,1,0,3,0,4,2,1,1,0,3,0,0,1,0,2,2,0,2,0
2,0,0,1,2,1,3,1,2,3,1,1,1,0,0,1,2,1,1,1,2,1,0,2,0,3,2,0,0,1,1,1,0,3,0,0,1,2,2,1,0,1,4,1,1,1,1,3,0,0,0
0,1,2,2,1,1,1,0,2,2,0,0,1,0,1,3,1,1,4,0,1,0,2,0,0,1,3,0,2,2,1,1,3,0,0,1,1,1,2,1,0,1,1,4,2,1,1,1,1,1,0
0,1,1,0,0,2,2,1,1,2,1,1,4,3,1,2,1,0,0,1,1,1,3,1,1,0,2,1,3,2,0,0,1,3,4,0,0,1,0,2,0,0,0,2,1,0,0,1,1,3,0
2,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,3,0,3,2,1,0,0,0,2,4,1,2,1,0,3,2,0,1,1,0,1,1,2,1,0,0
3,2,0,2,1,2,0,1,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,3,1,0,1,3,1,0,0,5,2,3,1,0,1,0,1,0,0,1,1,0,1,1,0
0,2,0,0,4,1,2,2,2,1,0,3,1,4,1,1,1,1,0,0,0,1,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,1,0,0,1,1,2,3,2,0,0
0,4,1,0,2,1,2,1,0,2,0,0,0,0,1,2,2,1,2,0,0,1,2,0,0,0,2,1,1,3,1,3,0,1,0,2,3,1,1,3,0,2,3,1,0,1,1,0,3,1,0
1,1,1,4,1,0,1,1,3,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,2,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,2,0,1,4,1,0
2,0,3,0,2,1,3,1,3,2,0,1,3,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,4,3,1,4,0,2,0,0,2,1,1,0,0,0,1,2,0,2,0,0
1,1,1,1,0,2,0,1,0,1,2,0,1,0,0,1,2,0,2,0,1,1,1,1,0,1,1,4,1,4,1,1,3,1,1,2,3,1,2,2,0,1,1,2,0,1,1,2,0,2,0
2,3,1,4,1,1,2,1,0,1,2,2,1,0,2,2,1,1,0,0,0,1,2,1,0,0,4,1,2,1,1,1,5,0,0,1,0,0,2,2,2,2,0,1,2,0,0,0,0,0,0
1,0,3,4,2,3,0,1,1,1,1,1,3,0,2,2,3,3,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,1,2,1,1,2,2,2,2,1,0
3,1,5,1,3,1,1,0,0,2,2,1,0,0,0,0,3,0,1,1,2,2,1,3,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,0,0,2,0,0,1,0,0,0
2,0,3,1,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,2,0,2,1,1,1,3,0,1,1,0,0,4,0,1,1,2,1,3,2,0,3,2,0,0,0,0,0
2,1,0,2,0,3,2,2,1,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,2,2,1,0,2,1,0,2,1,0,1,2,1,1,1,2,1,0,2,2,3,1,0,0,1,1,0
2,2,1,0,0,3,0,0,1,1,1,0,0,2,0,0,0,1,0,3,2,1,2,0,1,1,1,5,3,0,0,0,1,1,0,0,3,0,1,1,2,2,1,3,3,3,1,1,2,0,0
1,1,3,2,1,2,2,1,1,3,1,1,3,3,2,0,1,1,0,1,0,2,0,0,4,0,2,1,0,1,1,1,2,1,1,0,0,1,1,2,2,2,0,0,2,0,1,0,0,1,0
3,0,1,0,2,1,1,2,2,1,2,2,1,2,0,3,0,0,1,2,2,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,3,2,2,4,2,2,2,3,0,1,0
2,0,1,0,2,1,4,0,1,2,0,1,0,0,1,5,4,0,1,2,2,1,2,1,1,1,1,2,2,1,3,0,0,2,1,1,0,0,1,1,0,3,2,1,0,1,2,0,0,1,0
0,3,1,0,1,0,1,1,3,4,0,1,0,3,1,1,1,2,1,0,1,0,0,3,1,2,5,2,0,2,1,1,1,0,0,2,1,3,2,0,0,1,0,1,0,2,0,1,3,1,0
1,0,0,0,2,0,3,1,3,0,2,1,2,2,2,1,0,1,2,4,2,1,1,1,3,0,1,2,0,0,2,0,0,1,1,1,1,1,1,2,0,0,1,4,1,0,1,1,2,2,0
0,2,0,1,2,4,0,3,3,0,2,1,1,1,0,0,5,1,1,0,3,1,0,0,1,2,0,1,2,1,0,1,0,2,3,0,0,3,0,0,1,2,1,2,3,3,1,0,0,0,0
2,0,1,0,0,2,0,0,1,1,1,5,0,1,2,1,1,2,2,1,2,0,2,0,0,1,3,4,1,0,2,0,2,3,2,2,0,1,3,0,1,1,1,1,1,0,0,2,0,2,0
3,0,0,3,1,1,0,0,2,2,2,2,2,0,1,2,0,1,1,1,1,0,0,0,1,3,0,0,1,2,2,0,1,0,4,0,1,1,1,2,1,1,1,2,3,1,1,4,1,1,0
1,0,1,1,1,1,2,2,2,2,0,0,1,0,3,1,2,1,0,0,0,2,1,0,4,1,0,1,4,3,1,3,3,1,0,1,1,0,1,2,0,2,2,0,0,3,2,0,0,1,0
1,1,1,1,1,0,0,2,2,1,1,1,0,2,2,0,1,0,0,1,1,0,3,1,1,1,2,4,2,0,2,0,2,3,2,0,3,1,1,1,0,1,1,2,0,0,0,3,1,4,0
1,1,2,1,3,1,3,2,1,1,1,2,1,1,0,0,0,0,0,2,2,2,0,0,0,0,1,4,2,0,0,0,1,3,1,2,1,2,4,0,2,2,0,0,1,1,1,1,2,2,0
0,3,2,0,0,2,0,0,3,0,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,4,1,0,3,1,2,1,0,2,2,3,2,3,1,1,3,4,2,0,1,3,0,0,1,1,0
1,2,0,1,2,1,1,0,1,0,1,1,0,1,4,1,1,2,3,1,4,1,0,2,2,2,0,0,0,2,2,1,0,0,3,1,0,0,2,2,1,0,2,0,2,2,2,2,1,0,0
1,3,1,2,0,1,2,1,1,0,3,3,1,1,2,1,1,0,3,1,0,2,3,0,1,0,1,0,0,1,2,2,1,2,2,2,2,2,0,1,1,0,1,2,1,1,0,1,1,0,0
2,1,2,2,1,1,2,1,1,2,1,1,0,2,1,0,0,0,1,1,1,1,1,1,2,3,3,2,2,0,0,1,0,2,2,1,1,0,3,4,0,0,0,3,1,0,0,2,0,2,0
1,0,2,2,0,0,0,0,1,3,7,1,1,0,1,1,1,0,1,0,0,2,0,0,1,2,2,1,1,2,3,2,1,5,2,0,1,0,1,2,0,2,0,3,1,1,0,1,1,1,0
2,2,0,0,0,0,2,2,1,4,0,1,0,2,0,1,1,1,2,1,2,0,1,4,0,1,1,0,1,3,0,1,3,0,0,0,1,3,4,0,1,0,2,0,0,0,4,3,1,2,0
0,1,1,2,1,0,0,0,3,1,3,0,1,0,1,1,3,2,0,0,0,0,0,2,3,3,2,1,0,1,1,3,3,0,1,2,1,0,1,1,3,3,4,0,2,1,0,1,0,1,0
0,2,1,1,0,1,1,0,1,1,3,0,1,1,1,2,2,2,0,1,1,2,2,0,1,1,1,1,1,0,3,4,0,0,5,0,0,1,2,2,1,0,1,2,0,3,3,2,0,0,0
2,1,2,0,4,2,2,0,0,0,1,1,2,1,0,0,3,2,2,1,2,0,1,0,0,3,1,0,1,0,2,5,0,0,1,1,1,2,0,4,1,1,0,1,0,1,2,3,1,0,0
1,1,0,2,1,2,0,4,1,1,1,0,2,1,0,0,2,0,1,2,0,3,3,2,1,2,2,2,1,1,0,1,0,1,4,1,0,1,1,0,3,0,1,1,2,0,1,2,1,1,0
2,2,0,0,0,1,2,0,0,2,1,2,0,2,0,2,1,0,0,0,2,0,3,3,0,0,2,0,0,4,0,1,1,1,1,2,2,2,4,1,1,2,1,1,3,2,1,0,1,2,0
0,0,1,2,2,1,2,1,3,1,0,1,3,0,1,0,2,1,0,1,0,0,3,2,1,1,2,0,1,3,0,0,2,0,2,6,1,2,2,0,2,0,1,1,1,0,2,0,2,1,0
3,1,3,0,1,1,0,0,0,1,2,1,2,2,1,1,2,1,1,1,1,1,1,2,0,2,2,2,2,0,0,1,0,0,2,0,1,0,3,0,2,3,1,1,1,2,1,2,1,2,0
3,0,1,1,1,0,0,0,1,0,3,1,1,1,3,1,2,2,2,1,1,1,1,1,2,3,0,1,1,1,0,2,1,0,4,2,3,0,1,0,2,1,2,1,1,1,1,0,0,2,0
1,0,2,5,2,0,0,0,2,0,0,1,3,1,1,0,1,1,3,3,1,0,0,1,0,0,2,1,2,0,0,1,1,1,1,2,0,2,3,1,0,2,0,1,3,2,1,2,2,2,0
1,1,6,1,1,2,1,1,0,0,0,1,1,1,0,0,1,1,0,2,4,1,1,1,3,0,1,1,3,0,2,1,1,2,2,1,3,2,1,2,0,1,0,2,0,1,0,2,0,1,0
1,0,0,0,2,0,2,2,3,2,2,2,2,3,1,1,2,2,0,1,3,0,0,1,4,0,1,1,1,1,1,0,4,1,2,2,2,1,0,1,0,0,1,1,0,0,1,1,0,2,0
0,2,0,2,0,0,1,1,1,1,0,3,2,1,0,1,4,1,1,3,1,0,1,0,4,4,1,1,0,0,1,1,1,0,2,2,1,1,1,2,3,0,1,0,2,1,3,0,1,1,0
2,0,0,1,0,2,2,1,0,0,2,2,1,1,0,0,1,2,0,4,2,3,4,0,1,0,3,0,2,2,0,0,0,1,3,2,2,4,1,1,0,0,1,1,1,0,1,1,0,3,0
2,0,0,2,1,3,1,2,0,1,1,1,2,0,1,0,0,1,1,0,1,2,2,1,3,1,0,2,3,2,1,2,1,0,3,1,1,0,1,0,2,0,2,2,2,0,1,3,0,2,0
0,1,0,1,1,3,1,3,1,1,0,4,3,2,2,0,1,2,0,2,0,1,0,0,0,0,2,0,0,0,3,0,4,1,0,1,3,1,0,3,0,1,0,3,1,2,1,1,3,1,0
1,2,2,2,1,1,1,3,2,1,1,1,3,2,2,1,0,2,0,2,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,2,2,0,2,3,1,2,0,2,2,1,1,1,0
1,0,0,0,2,1,1,0,3,1,0,1,1,1,0,3,2,1,1,4,1,1,2,1,2,1,0,0,1,0,0,1,0,3,2,1,1,0,3,2,1,4,1,0,1,2,3,1,1,1,0
4,1,2,3,0,1,1,0,2,1,1,0,0,0,0,1,4,0,0,0,1,1,1,3,1,0,2,1,2,1,0,2,1,1,3,0,4,2,1,1,1,3,0,0,1,0,2,2,0,2,0
2,0,0,1,2,1,3,1,2,3,1,1,1,0,0,1,2,1,1,1,2,1,0,2,0,3,2,0,0,1,1,1,0,3,0,1,1,2,2,2,0,1,4,1,1,1,1,3,0,0,0
0,1,2,2,1,1,1,0,2,2,0,0,1,0,1,3,1,1,4,0,1,0,2,0,0,1,3,0,2,2,1,1,3,0,1,1,1,1,2,1,0,1,1,4,2,1,1,2,1,1,0
0,1,1,0,0,2,2,1,1,2,1,1,4,3,1,2,1,0,0,1,1,1,3,1,1,0,3,1,3,2,0,0,1,3,4,0,0,1,0,3,0,0,0,2,1,0,0,1,1,3,0
3,2,0,1,0,1,1,1,0,0,3,1,0,1,1,1,1,2,0,0,1,2,3,2,1,3,0,3,2,1,0,0,0,2,4,1,2,1,0,3,2,0,1,1,1,1,1,2,1,0,0
3,2,0,2,1,2,0,1,1,1,4,0,0,0,0,1,0,2,5,0,1,2,0,0,2,2,0,3,1,0,2,3,1,0,0,5,2,3,1,0,1,0,1,0,1,1,1,0,1,1,0
0,2,0,0,4,1,2,2,2,1,0,3,1,4,1,1,1,1,1,0,1,1,0,1,1,3,1,0,3,1,1,1,0,2,1,1,1,1,0,1,2,1,0,0,1,1,2,3,2,0,0
0,4,1,0,2,1,2,1,0,2,0,0,0,0,1,2,2,1,2,0,0,1,2,0,0,0,2,1,1,3,1,4,0,1,0,2,3,1,1,3,0,2,4,1,0,1,1,0,3,1,0
1,1,1,4,1,0,1,1,3,1,1,1,4,1,0,2,2,1,1,1,3,2,4,0,2,2,0,0,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,1,2,2,0,1,4,1,0
2,0,3,0,2,2,3,1,3,2,0,1,3,1,0,0,1,0,1,1,0,2,1,1,0,0,0,2,1,1,2,4,3,1,4,0,2,0,0,2,1,1,1,0,0,1,2,0,2,0,0
1,1,1,1,0,2,0,1,0,1,2,0,1,0,0,1,2,1,2,0,1,1,1,1,0,1,1,4,1,4,1,1,3,1,1,2,3,1,2,2,0,1,1,2,0,1,1,2,1,2,0
2,4,1,4,1,1,2,1,0,1,2,2,1,0,2,2,1,1,0,0,0,1,2,1,0,1,4,1,2,1,1,1,5,0,0,1,0,0,2,2,2,2,0,1,2,0,0,0,0,0,0
1,0,3,4,2,3,0,1,1,1,1,1,3,0,2,2,3,3,0,1,1,0,0,1,1,1,0,1,0,0,0,1,3,1,0,1,0,2,0,1,0,1,2,1,1,2,2,2,2,1,0
3,1,6,1,3,1,1,0,0,2,2,1,0,0,0,0,3,0,1,1,2,2,1,3,1,0,1,2,0,1,2,1,1,1,1,2,1,2,1,2,2,1,1,0,2,0,0,1,0,0,0
2,0,3,1,2,0,0,1,0,1,1,0,3,2,2,2,1,0,0,1,1,2,2,2,0,3,1,1,1,3,0,1,1,0,0,4,0,1,1,2,1,3,2,0,3,2,1,0,0,0,0
2,1,0,2,0,3,2,2,1,1,1,0,1,0,0,0,0,2,2,2,1,1,2,2,2,2,1,0,3,1,0,2,1,0,1,2,1,1,1,2,1,0,2,2,3,2,0,0,1,1,0
2,2,1,0,0,3,1,0,1,1,1,0,0,2,0,0,0,1,0,3,2,1,2,0,1,1,1,5,3,0,0,0,1,1,0,0,3,0,1,1,2,2,2,3,3,3,1,1,2,0,0
1,1,3,2,1,2,2,1,1,3,1,2,3,3,2,0,1,1,0,1,0,2,0,0,4,0,2,1,0,1,1,1,2,1,1,0,1,1,1,2,2,2,0,0,2,0,1,0,0,1,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,2,1,1,1,1,2,2,0,1,4,1,3,1,1,0,1,3,1,2,2,4,0,0,1,5,2,1,1,2,0,0,0,4,4,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,1,0,0,0,1,2,0,0,4,4,1,0,2,3,6,0,1,3,2,2,1,1,4,2,2,2,3,1,1,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,1,3,2,1,1,1,2,1,2,0,1,1,2,1,1,1,3,4,0,1,6,2,0,1,4,1,0,1,2,1,3,4,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,4,2,1,2,2,1,4,1,3,0,1,2,1,1,0,2,5,0,0,1,2,1,2,3,3,0,1,1,2,1,3,3,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,3,0,4,2,3,2,4,2,3,2,1,1,1,1,0,2,4,2,0,2,0,3,0,1,1,3,1,2,1,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,1,0,0,0,2,0,2,4,2,1,0,1,1,0,4,0,1,1,3,1,3,2,4,3,1,4,1,1,1,4,1,1,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,1,1,0,0,4,3,1,3,1,2,1,2,2,3,2,0,1,2,5,3,3,0,2,0,2,2,3,0,2,0,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,1,2,4,1,0,2,1,2,1,2,1,0,0,2,4,2,0,0,1,0,1,3,1,1,2,1,2,3,2,2,2,2,2,2,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,1,2,3,3,1,2,0,2,1,0,0,4,1,1,1,1,1,3,0,0,5,4,3,0,1,3,1,2,1,1,2,1,0,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,6,4,1,0,2,1,0,0,0,2,1,2,0,2,1,2,0,1,2,1,2,3,1,2,0,2,4,3,2,2,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,4,3,1,1,1,5,1,1,2,3,1,3,1,1,3,2,0,1,2,1,2,1,3,2,3,0,2,0,2,1,1,0,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,3,0,1,3,1,1,1,1,3,4,0,2,1,1,4,2,2,3,3,2,3,1,1,0,0,3,1,2,0,1,1,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,3,2,2,3,2,0,1,0,0,2,5,3,2,0,1,1,1,1,1,2,2,1,1,2,4,3,0,2,2,2,3,0,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,3,1,4,2,3,3,2,2,2,1,1,2,3,1,0,0,0,1,4,2,3,4,1,1,1,2,1,2,0,1,1,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,2,1,1,2,3,1,3,3,4,0,2,3,3,0,3,0,2,2,2,1,0,1,2,0,3,2,2,2,1,3,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,2,1,2,0,1,1,1,2,4,0,1,1,0,3,1,3,1,2,0,1,3,1,2,1,4,1,4,2,3,2,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,2,1,2,4,0,2,1,1,2,0,1,4,0,1,1,2,2,2,0,0,1,2,0,1,3,1,3,3,1,3,2,2,2,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,2,1,0,5,1,2,3,1,2,0,2,1,0,1,0,3,1,0,4,2,1,1,2,2,3,4,1,0,1,3,4,0,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,2,5,1,2,0,2,0,1,4,0,1,1,0,3,2,1,2,3,1,1,3,1,4,2,2,2,2,0,0,1,0,2,2,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,2,1,2,3,0,2,3,1,1,5,0,0,1,3,1,2,4,1,1,1,4,1,1,2,4,1,1,2,1,3,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,1,3,4,1,1,0,3,1,0,1,1,3,0,3,2,2,1,3,2,1,1,1,2,2,0,1,1,4,3,1,1,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,3,0,1,0,1,1,1,3,2,2,2,1,1,3,3,2,1,0,4,2,4,1,0,1,2,1,1,0,3,3,1,1,1,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,1,0,4,0,0,1,2,2,3,2,1,3,1,3,3,0,0,0,2,0,5,2,3,1,3,2,0,2,1,1,1,1,3,0,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,3,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,2,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,0,0,2,0,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,2,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,3,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,0,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,5,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,2,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,2,3,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,3,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,2,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,0,0,4,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,0,2,0,0,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,2,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,3,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,1,2,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,5,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,2,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,3,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,2,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,3,0,1,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,2,1,3,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,1,0,0,4,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,3,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,3,3,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,1,4,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,5,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,2,1,2,4,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,3,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,1,2,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,2,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,0,0,3,0,1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,2,1,3,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,0,0,4,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,1,3,0,1,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,2,3,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,3,3,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,0,2,4,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,5,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,1,2,2,2,4,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,2,3,1,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,2,1,3,1,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,1,2,1,1,1,1,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,2,1,3,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,0,0,3,0,2,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,2,1,3,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,0,0,6,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,1,1,3,0,1,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,3,3,1,1,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,4,3,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,1,0,2,4,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,2,5,1,3,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,1,2,3,2,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,2,3,2,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,1,3,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,2,2,1,1,1,1,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,3,1,3,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,2,0,0,3,0,2,4,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,2,2,3,2,0,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,0,0,6,1,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,1,1,3,1,2,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,3,3,1,1,3,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,1,4,3,1,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,1,0,3,4,1,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,2,5,2,3,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,1,2,4,2,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,2,3,2,2,3,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,2,2,3,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,2,1,1,1,1,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,3,3,1,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,1,2,0,0,3,0,2,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,2,2,3,2,0,0,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,0,0,7,1,1,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,1,3,1,3,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,3,3,1,1,3,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,1,4,3,1,1,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,1,0,3,4,1,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,5,2,4,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,1,2,4,3,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,3,3,2,2,4,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,2,2,3,2,2,5,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,2,1,2,1,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,3,3,1,4,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,1,2,0,0,3,0,3,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,2,2,3,2,2,0,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,1,0,7,1,1,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,2,1,3,1,3,1,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,3,3,1,2,3,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,2,1,4,3,2,1,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,2,0,1,0,3,4,1,5,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,5,2,4,2,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,2,1,2,4,3,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,3,4,2,3,4,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,2,2,3,2,2,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,2,1,2,1,2,2,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,3,3,1,5,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,1,2,0,0,3,0,3,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,4,3,2,3,2,2,0,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,1,1,7,1,1,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,3,1,3,1,3,1,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,4,3,1,3,3,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,2,1,5,4,2,1,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,0,1,0,3,4,1,5,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,3,5,2,4,3,1,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,2,4,3,4,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,3,4,2,3,6,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,3,2,3,2,2,6,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,3,1,2,1,2,2,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,4,3,1,5,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,1,2,0,1,3,0,4,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,3,3,3,2,2,0,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,1,1,2,7,2,1,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,3,4,1,3,1,3,1,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,4,3,1,4,3,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,2,1,5,4,3,2,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,0,3,4,1,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,3,5,2,4,3,1,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,3,5,3,4,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,3,4,2,4,6,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,0,4,2,3,2,2,6,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,4,3,2,2,1,2,3,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,4,3,1,5,2,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,2,2,0,1,3,0,4,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,3,3,3,2,2,0,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,3,1,1,2,7,2,1,3,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,3,4,1,3,1,3,1,6,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,4,3,4,3,2,4,3,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,1,5,4,3,2,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,0,3,6,1,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,3,5,2,5,3,1,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,3,1,3,5,3,4,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,3,5,2,4,6,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,4,2,0,4,2,3,2,2,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,4,3,2,2,1,2,3,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,4,3,2,5,2,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,2,2,0,1,4,0,5,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,3,3,3,2,3,0,6,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,3,1,1,2,7,2,2,4,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,3,4,1,3,1,3,1,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,4,3,2,4,3,1,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,1,5,4,3,4,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,0,4,6,1,5,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,1,3,5,3,5,3,1,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,3,1,3,5,4,4,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,4,5,2,4,6,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,4,2,0,5,3,3,2,2,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,5,3,2,2,1,2,3,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,4,3,2,5,3,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,3,2,0,1,4,1,5,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,3,3,4,2,3,0,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,3,1,1,2,7,2,3,4,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,3,5,1,3,2,3,1,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,4,3,2,4,3,1,1,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,1,5,4,4,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,1,1,1,4,6,1,5,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,1,3,5,4,5,3,1,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,2,3,1,4,5,4,4,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,5,5,2,4,6,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,2,0,5,3,3,2,3,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,5,3,2,2,1,2,4,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,4,4,2,6,3,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,4,2,0,1,4,1,6,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,3,3,4,3,4,0,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,3,1,1,2,7,3,4,4,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,4,5,1,4,2,3,1,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,4,3,2,4,3,2,1,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,2,1,5,4,5,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,3,1,1,1,4,6,2,5,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,3,6,4,5,3,1,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,2,3,1,5,6,4,4,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,5,5,2,4,6,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,2,0,5,3,3,3,3,6,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,5,3,2,2,2,2,4,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,3,4,4,2,6,4,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,4,2,0,1,4,1,7,4,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,3,4,3,4,0,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,3,1,1,2,7,4,4,4,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,4,5,1,4,2,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,5,3,2,4,3,2,1,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,3,3,1,5,4,5,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,1,1,1,4,7,2,5,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,3,7,4,5,3,1,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,3,3,1,5,6,4,4,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,5,5,2,4,8,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,0,5,3,3,3,4,6,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,5,3,3,2,3,2,4,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,4,4,4,2,6,4,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,4,4,2,0,1,4,1,8,5,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,4,4,3,4,0,7,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,3,1,2,2,8,4,4,4,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,4,5,1,4,2,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,5,3,3,4,3,2,2,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,4,3,1,5,4,5,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,1,2,1,4,7,2,5,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,2,3,8,4,5,3,1,5,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,3,3,1,5,6,4,5,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,5,5,2,5,8,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,0,5,3,3,4,4,6,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,3,3,2,3,2,4,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,4,4,4,2,6,4,3,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,5,4,2,0,1,4,2,8,5,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,4,4,5,3,4,0,7,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,4,1,2,3,8,4,4,4,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,4,4,6,1,4,2,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,5,3,3,4,3,2,3,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,1,5,4,6,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,1,3,1,4,7,2,5,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,2,3,8,5,5,3,1,5,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,3,3,1,6,7,4,5,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,3,5,6,2,5,8,3,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,0,5,3,3,4,4,8,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,5,4,3,2,3,2,4,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,4,4,4,2,6,4,3,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,5,4,3,0,1,4,2,9,5,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,4,4,5,3,4,0,7,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,4,1,2,3,8,4,4,6,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,4,4,6,1,4,4,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,3,5,4,4,4,3,2,3,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,1,6,4,7,4,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,3,1,4,7,2,5,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,3,8,5,6,3,1,5,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,3,3,1,7,7,4,5,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,3,5,6,2,5,8,3,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,0,5,3,4,4,4,9,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,5,4,4,2,4,2,4,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,5,4,4,2,6,4,3,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,5,4,3,0,1,4,2,9,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,5,5,5,3,4,0,7,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,4,1,2,3,8,4,4,6,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,6,4,6,1,4,4,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,4,5,4,4,4,3,2,4,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,2,6,4,7,4,6,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,3,2,4,7,3,5,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,3,8,7,6,3,1,5,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,3,3,1,7,7,4,5,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,3,3,5,6,2,5,8,3,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,0,6,3,4,4,5,9,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,6,4,4,2,4,2,4,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,6,4,4,2,6,4,3,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,5,4,3,0,1,4,4,9,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,5,6,6,3,4,0,7,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,4,1,2,3,9,5,4,6,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,6,5,6,1,4,4,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,5,5,5,4,4,4,3,2,4,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,3,2,7,4,7,4,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,3,2,4,7,3,5,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,4,8,7,6,3,1,5,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,3,4,1,8,7,4,5,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,4,3,5,6,2,5,8,3,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,3,0,6,4,4,5,5,9,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,5,6,4,4,2,4,2,4,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,6,4,4,2,6,6,3,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,6,4,3,0,1,4,4,9,7,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,5,6,6,4,4,0,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,4,1,2,3,9,6,4,7,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,6,5,6,2,4,4,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,6,5,5,5,4,4,3,2,4,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,5,3,2,7,4,7,4,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,3,3,4,7,3,5,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,4,8,7,7,3,1,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,3,4,1,8,7,5,6,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,5,3,5,6,2,5,8,3,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,3,0,6,4,4,5,6,9,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,6,4,4,2,4,3,4,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,7,4,4,2,6,6,4,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,6,5,3,0,2,4,4,9,7,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,5,5,6,6,4,4,1,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,5,1,2,3,9,6,4,8,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,6,5,7,2,4,5,3,1,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,6,5,5,5,5,4,4,2,4,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,5,3,2,8,4,8,4,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,4,3,4,7,3,6,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,4,8,7,8,3,2,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,3,5,2,8,7,5,6,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,5,3,5,7,2,5,8,4,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,3,1,6,4,4,5,6,9,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,6,4,5,2,4,4,4,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,3,7,4,4,2,6,6,4,6,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,3,6,5,3,0,2,4,4,9,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,6,5,5,6,6,5,4,1,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,2,2,3,9,6,4,8,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,6,5,7,2,4,5,4,1,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,6,5,5,5,5,4,4,3,4,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,5,3,2,8,4,8,4,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,5,1,4,3,4,7,3,6,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,2,4,9,8,8,3,2,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,3,5,2,8,7,6,6,2,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,5,3,5,7,2,5,9,5,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,3,1,7,4,4,5,7,9,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,6,5,5,2,4,4,4,4,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,3,7,4,4,2,6,6,5,6,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,6,5,3,0,2,4,4,10,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,5,5,6,6,5,4,1,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,2,3,3,9,6,4,8,2,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,2,7,5,7,2,5,5,4,1,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,6,5,5,5,5,4,5,3,5,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,5,3,2,8,5,8,4,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,1,4,3,4,8,3,6,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,2,4,9,8,9,3,2,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,3,5,2,8,7,6,6,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,6,4,5,7,2,5,9,5,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,4,3,1,7,4,4,5,8,9,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,5,7,5,5,2,4,4,4,4,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,3,7,4,4,2,6,7,5,6,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,4,6,5,3,0,2,4,4,10,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,6,6,6,6,5,4,1,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,2,3,3,10,6,4,8,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,7,5,7,3,5,5,4,1,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,6,5,5,5,5,5,6,3,5,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,5,3,2,8,5,8,5,7,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,1,4,3,4,8,3,6,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,2,4,9,8,9,4,2,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,3,5,3,8,7,6,6,2,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,6,5,5,7,2,5,9,5,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,4,3,1,7,4,5,5,9,9,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,5,9,5,5,2,4,4,4,4,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,3,8,4,4,2,6,7,6,6,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,4,6,6,4,0,2,4,4,10,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,6,6,6,6,5,5,1,7,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,5,2,4,4,10,6,4,8,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,2,8,5,7,3,5,5,4,2,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,7,5,6,5,5,5,6,3,5,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,5,5,3,2,8,5,8,5,8,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,5,1,5,3,5,8,3,6,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,2,4,9,8,9,4,2,6,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,2,3,5,4,8,7,6,6,3,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,6,5,5,7,2,6,9,6,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,4,3,1,7,5,6,5,9,9,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,5,9,5,5,2,4,4,4,4,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,3,8,4,4,2,6,7,6,6,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,30,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,30,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,15,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,15,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,15,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,15,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,15,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,15,15,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,15,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,30,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,45,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,15,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,15,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,15,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,15,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,20,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,40,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,40,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,30,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,30,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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