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1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
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0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0
0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,4,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0
0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0
0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0
0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0
0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,4,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0
0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0
0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0
1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0
0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0
0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0
0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,4,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0
0,2,0,0,0,0,3,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0
0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0
1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0
0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0
1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,4,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0
0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0
0,2,0,0,0,0,3,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0
1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0
0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,1,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,3,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0
1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0
0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,0,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,4,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0
0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0
0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0
0,2,0,0,0,0,3,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0
1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0
1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0
0,1,1,2,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,1,0,1,1,3,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,3,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0
1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0
0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,0,1,2,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,3,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0
0,0,1,0,0,0,1,0,0,1,0,3,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,4,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,4,1,0,0,0,1,1,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,3,0,1,0,1,1,0,0,0,1,1,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,2,0,1,0,0,0
0,1,0,0,0,2,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,2,0,0
0,0,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0
0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0
0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,1,0
0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,1,1,0,0,2,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,1,0,0,0,0,1,3,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0
0,2,0,0,0,0,3,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,2,0
0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,1,0,0,0,3,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,0,3,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
0,1,0,0,1,1,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,3,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0
1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0
0,1,1,2,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,0,1,1,3,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,3,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0
1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,3,1,0
0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,0,1,3,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0
0,0,1,0,0,0,2,0,0,1,0,3,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,4,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,1,0,0,4,1,0,0,0,1,1,0,0,2,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,2,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,3,0,1,0,1,1,0,0,0,1,1,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,2,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,2,0,1,0,0,0
0,1,0,0,0,2,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,2,0,0
0,0,1,0,0,1,0,0,1,1,0,3,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0
0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0
0,2,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,1,0
0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,1,1,1,0,2,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,1,0,0,0,0,1,3,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0
0,2,0,0,0,0,3,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,1,2,0
1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,1,0,0,1,3,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,0,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,1,1,2,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,1,0,0,2,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0
0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,3,1,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
0,1,0,0,1,1,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,3,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0
1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
0,1,1,2,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0
1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,0,1,1,3,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,3,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,1,1,0,0,1,1,0
1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,3,1,0
0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,0,1,3,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0
0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0
0,0,1,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,1,0,0,4,1,0,0,0,1,1,0,0,2,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,2,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,3,0,1,0,1,1,0,0,0,1,1,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0
0,1,0,0,0,2,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,2,0,0,0,0,2,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,2,0,0
0,0,1,0,0,1,0,0,1,1,0,3,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0
1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0
0,2,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,1,1,1,0,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,1,0,0,0,0,1,3,0,0,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0
0,2,0,0,0,0,3,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,2,0
1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0
0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0
0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,0,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,1,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,3,0,0,0,0,0,1,1,2,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,3,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,3,0,1,0,0,1,0,0,2,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0
0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,2,0,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,4,1,0,1,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
0,1,0,0,1,1,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,0,1,2,0,3,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0
1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,0,1,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0
1,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,1,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,0,1,1,3,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,3,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,1,0,3,1,0
0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,1,0,1,0
0,2,2,0,1,0,1,1,0,0,0,0,0,1,1,3,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0
0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,0,0
0,0,1,0,0,0,3,0,0,2,0,3,0,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,1,0,0,4,1,0,0,0,1,1,0,0,2,2,0,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,2,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,1,1,1,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,3,0,1,0,1,1,0,1,0,1,1,0,0
0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,2,0,0,0,2,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0
0,1,0,0,0,2,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,1,2,0,0,0,0,2,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,2,1,0,1,0,2,0,0
0,0,1,0,0,1,0,0,1,2,0,3,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,2,2,0,1,0,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,2,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0
1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0
0,2,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,2,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,2,1,1,0,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,1,0,0,0,0,1,3,0,0,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0
0,2,0,0,0,0,3,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,2,0
1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0
0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0
0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,1,3,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,2,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,1,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,3,0,0,0,0,0,1,1,2,1,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,3,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,4,0,1,0,0,1,0,0,2,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0
0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,3,0,0,1,0,2,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,4,1,0,1,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0
0,1,0,0,1,1,2,0,2,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,0,1,2,0,3,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0
1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0
1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,0,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0
1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0
1,0,0,0,0,0,1,1,0,0,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,1,0,0,1,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,0,1,1,3,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,2,0,0,0,2,3,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,4,1,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,1,1,3,1,0
0,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,1,0,1,0
0,2,2,0,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0
0,0,1,0,0,0,3,0,0,2,0,3,0,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,1,0,2,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,2,2,0,1,1,0,2,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,1,1,0,0,4,1,0,0,0,1,1,0,0,2,2,0,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,2,1,0,1,1,2,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,3,0,0,0,0,1,1,0,1,1,1,1,1,1,3,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,0,2,0,0,2,0,1,0,0,0,2,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,3,0,1,0,1,1,0,1,0,1,1,0,0
0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,1,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,2,0,0,0,2,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0
0,1,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0
0,1,0,0,1,2,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,0,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,1,2,0,0,0,0,2,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,2,1,0,1,0,2,0,0
0,0,1,0,0,1,0,0,1,2,0,3,0,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,2,2,0,1,0,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,2,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0
1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0
0,2,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,3,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0
0,0,1,1,0,0,1,0,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0
0,2,0,0,0,1,3,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,1,1,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,2,0
1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0
0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,2,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0
0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,1,2,0,0,1,0,1,1,3,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,1,1,0,1,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,0,0,0,0,0,2,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,2,0,0,1,0,1,2,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,3,1,0,0,0,0,1,1,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,3,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,3,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,4,0,1,0,0,1,0,0,3,0,0,0,0
0,0,2,1,0,0,1,0,0,0,2,0,2,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0
0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,3,0,0,1,1,2,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,0,1,1,2,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,4,1,0,1,1,0,1,1,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0
0,1,0,0,1,1,2,0,2,0,1,1,0,0,0,2,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,0,1,2,0,3,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,1,0,1,0,1,2,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0
1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,0,1,1,2,0,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0
1,1,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,2,1,0
1,0,0,0,0,0,1,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,1,0,0,2,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,2,0,0,0,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,4,1,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,1,0,1,0,2,0,0,0,2,1,0,0,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,1,0,1,0
0,3,2,0,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,1,1,0,1,1,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0
0,0,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
2,0,0,0,0,0,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,1,0,2,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,2,3,0,0,0,1,0,2,2,0,1,1,0,2,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,1,1,0,0,4,1,0,0,0,1,1,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,2,1,0,1,1,2,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,4,0,0,0,0,1,1,0,1,1,1,1,1,1,3,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0
0,0,0,1,2,0,0,2,0,1,0,0,0,2,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,3,0,1,0,1,1,0,1,0,1,1,0,0
0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,0,0,1,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,1,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,1,0,2,1,2,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,2,1,0,0,2,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,3,0,0,1,0
0,1,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,2,0,0,0,1,2,0,1,0,0,0
0,1,0,0,1,2,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,0,2,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,2,0,0,0,1,2,0,0,0,1,2,0,0,0,0,2,1,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,2,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,1,2,0,3,0,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,2,0,1,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0
2,1,1,0,0,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0
0,2,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,3,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,0,1,0,1,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,2,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0
0,0,1,1,0,0,2,0,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,1,0
0,2,0,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,1,1,2,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,2,0
1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0
0,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,0,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,1,0,2,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0
0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,1,2,1,0,1,0,1,1,3,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0
2,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,1,2,0,1,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,0,0,0,1,0,2,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,2,0,0,2,0,1,2,0,0
0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,3,1,0,0,0,0,1,1,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,3,0,3,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,2,0,0
1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,2,0,0,0,1,0,3,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,4,0,1,0,0,1,0,0,3,0,0,0,0
0,0,2,1,0,0,1,0,0,0,2,0,2,1,2,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,1,1,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0
0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,3,0,0,1,1,3,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,2,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,4,1,0,1,1,0,1,1,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0
1,1,0,0,1,1,2,0,3,0,1,1,0,0,0,2,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,0,1,2,0,3,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,1,0,1,0,1,2,1,0,0,0,1,0,0,2,0,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,0,1,1,2,0,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
1,1,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,1,2,0,1,0,0,0,0,0,1,1,2,1,0
1,0,0,0,0,0,2,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,0,0,2,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,2,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,2,0,0,0,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,4,1,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,1,0,1,2,1,0,1,0,2,0,0,0,2,1,0,0,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,2,0,1,0
0,3,2,0,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
2,0,0,0,0,0,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,1,0,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,1,2,3,0,0,0,1,0,2,2,0,1,1,0,2,0,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,2,0,1,1,0,0,4,1,0,0,0,1,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,2,1,0,1,1,2,0,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,2,2,0,0,1,0,4,0,0,0,0,1,1,0,1,1,1,1,1,1,3,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,0,2,0,0,0,1,0,0,1,0
0,0,0,1,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,3,0,1,1,1,1,0,1,0,1,1,0,0
0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,0,0,1,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,2,0,0,0,0
1,0,1,1,0,1,0,0,1,0,0,1,0,2,1,2,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,2,1,0,0,3,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,4,0,0,1,0
0,1,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,2,0,0,0,1,2,0,1,0,0,0
0,1,0,0,1,2,0,2,1,0,0,0,0,1,4,1,0,0,0,1,2,0,2,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,2,0,0,0,1,2,0,0,0,1,2,0,0,0,0,2,1,0,2,1,2,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0
2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,2,0,1,1,0,1,0
0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,3,2,0,1,1,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,1,0,1,0,2,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,2,2,2,0,1,0,0,0
2,1,1,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0
0,2,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,1,3,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,0,1,0,2,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,2,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,0,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,1,1,2,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,2,0
1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,1,2,1,0,1,0,1,1,3,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0
2,0,0,0,1,2,1,0,2,1,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,1,2,0,1,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,0,0,0,1,0,2,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,2,0,0,2,0,1,2,0,0
0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,3,1,1,0,0,0,1,2,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,2,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,2,0,0
2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,0,1,0,3,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,4,0,1,0,0,1,0,0,3,0,0,0,0
0,0,2,1,0,0,1,0,0,1,2,0,2,1,2,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0
0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,2,0,0,1,3,0,0,1,1,3,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,2,1,1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,4,1,0,1,1,0,1,2,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0
2,1,0,0,1,1,2,0,3,0,1,1,0,0,0,3,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,1,1,2,0,3,2,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,1,0,1,1,0,1,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,1,0,1,0,1,3,1,0,0,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,1,1,2,0,0,1,0,1,0,1,0,1,0,0,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,4,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,1,2,0,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,1,2,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,1,2,0,1,0,0,0,0,0,1,1,2,1,0
1,0,0,0,0,0,2,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,2,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0
0,0,0,0,0,2,1,0,1,1,0,1,1,1,0,1,0,2,0,0,0,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,2,0,1,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,4,1,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,1,0,1,2,1,0,1,0,2,0,0,0,2,1,0,1,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,2,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,2,0,1,0
0,3,2,0,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,0,1,0,0,1,2,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,2,0,2,2,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
2,0,0,0,0,0,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,2,0,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0
1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,2,3,0,0,0,1,0,2,2,0,1,1,0,2,0,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,2,0,1,1,0,0,4,1,0,0,1,1,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,3,1,0,2,1,0,1,1,2,0,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,2,3,0,0,1,0,4,0,0,0,0,1,1,0,1,1,1,1,1,1,3,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,0,2,0,0,0,1,0,0,1,0
0,0,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,1,0,0,2,0,2,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,1,2,0,1,3,0,1,1,1,1,0,1,0,1,1,0,0
0,1,0,0,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,2,0,0,0,0
1,0,1,1,0,1,0,0,1,0,0,1,1,2,1,2,1,2,0,0,1,0,0,0,0,1,2,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,2,1,0,0,4,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,4,0,0,1,0
0,1,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,1,2,0,1,0,0,0
0,1,0,0,1,2,0,2,1,0,0,0,1,1,4,1,0,0,0,1,2,1,2,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,2,0,0,0,1,2,0,0,0,1,2,1,0,0,0,2,1,0,2,1,2,0,1,0,0,0,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,2,0,1,1,0,1,0
0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,3,2,0,1,1,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,1,0,2,0,2,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,0,0,0
2,2,1,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0
0,2,0,0,0,1,1,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,1,3,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,1,0,1,0,2,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,2,2,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,0,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,1,1,2,0,1,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,2,0
1,0,0,0,0,0,0,0,2,1,2,2,0,0,0,0,1,1,0,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,2,0,0,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0
0,1,0,0,0,1,0,1,0,0,1,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,0,1,0,1,0,1,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,2,1,0,1,2,1,0,1,0,1,1,3,1,0,0,2,1,0,1,1,0,0,0,0,0,1,0
2,0,0,0,1,2,1,0,2,1,0,1,1,0,0,1,2,0,0,0,2,1,1,0,0,1,2,0,2,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,0,0,0,1,0,2,0,1,1,1,1,0,2,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,2,0,0,2,0,1,2,0,0
0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,3,1,1,0,0,0,1,2,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,2,0,1,0,0,1,1,2,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,2,0,0,2,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,2,2,0,1,2,0,0
2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,2,1,0,0,1,0,3,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,0,1,0,0,3,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,0,0,1,1,1,2,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,0,0,1,0,2,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,1,0,0,0
0,0,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,3,2,0,0,1,3,0,0,1,1,3,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,3,1,1,0,2,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,0,1,0,4,1,0,1,1,0,1,2,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,1,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,0,3,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,1,1,3,0,3,2,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,1,0,1,1,0,2,1,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,2,0,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,2,0,1,0,1,3,1,0,0,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,0,1,0,0,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,4,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,2,0,1,1,2,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,1,2,0,1,1,0,0,0,2,1,0,0,1,0,1,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,1,2,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,1,2,0,1,0,0,0,0,0,1,1,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,2,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,1,0,2,0,0,1,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0
0,1,0,0,0,2,1,0,1,1,0,1,1,1,0,1,0,2,0,0,0,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,0,2,0,1,0,0,1,1,0,0,1,2,2,1,0,0,0,0,0,0,0,1,0,4,1,1,0,0,1,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,2,0,1,2,1,0,1,0,2,0,0,0,2,1,0,2,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,2,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,2,2,0,0,2,0,0,0,2,0,1,0
0,3,2,0,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,1,1,0,0,1,3,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,2,1,0,1,0,0,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,2,0,3,2,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0,0,0
2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,2,1,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0
1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,2,3,0,1,0,1,0,2,2,0,1,1,0,2,0,0,2,1,2,1,1,0,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,2,0,1,1,0,0,4,2,0,0,1,1,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0
0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,4,1,0,2,1,0,2,1,2,0,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,2,3,0,0,1,0,4,0,0,0,0,1,1,0,1,1,1,1,1,1,3,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,2,0,2,0,0,0,1,0,0,2,0
0,0,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,2,0,0,2,0,2,0,0,1,2,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,1,2,0,1,3,0,1,1,1,1,0,1,0,1,2,0,0
1,1,0,0,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,3,0,3,0,0,0,0
1,0,1,1,0,2,0,0,1,0,0,1,1,2,1,2,1,2,0,0,1,0,0,0,0,1,2,1,0,0,1,2,2,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,2,1,0,0,4,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,4,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,1,3,0,1,0,0,0
0,1,0,0,1,2,0,2,1,0,0,0,1,1,4,1,0,0,0,1,2,1,3,0,0,1,0,1,1,1,1,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,1,0,1,1,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,2,1,0,0,0,2,1,0,2,1,2,0,1,0,0,0,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,2,1,0,0,0,1,0,0,1,0,0,3,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,1,1,1,1,0,0,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,0,0,1,1,0,2,1,0,1,2,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,3,2,0,1,1,0,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,1,0,2,0,2,0,0,0,0,4,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,0,0,0
2,2,2,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,3,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0
0,2,0,0,0,1,1,1,0,0,0,0,0,3,0,0,0,0,1,0,0,2,1,0,0,1,3,0,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,1,1,0,1,0,2,0,1,2,1,0,2,0
0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,2,2,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,2,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,0,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,2,1,0,1,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,2,1,1,2,0,1,1,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,2,1,0,1,0,1,1,1,2,0
1,0,0,0,0,0,0,0,2,1,2,2,0,1,0,0,1,2,0,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,2,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0
0,1,0,0,0,1,0,1,0,0,1,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,0,1,0,1,1,2,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,2,1,0,1,2,1,0,1,0,1,1,3,1,0,0,2,1,0,1,1,1,1,0,0,0,1,0
3,0,0,0,1,2,1,0,2,1,0,1,1,0,0,1,2,1,0,0,2,1,1,0,0,1,2,0,2,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,0,0,0,1,0,2,0,1,1,1,1,1,2,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,2,0,0,2,0,2,2,0,0
0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,2,1,0,1,0,0,1,1,1,1,0,1,0,0,3,1,1,0,0,0,1,2,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,2,0,1,0,0,1,1,2,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,2,0,0,3,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,2,2,0,1,2,0,0
2,1,0,0,0,0,0,1,1,0,0,0,2,1,1,1,0,0,0,1,1,2,1,0,0,1,0,3,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,0,1,0,0,3,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,1,0,1,1,1,2,1,0,1,0,0,1,1,0,1,1,0,1,1,0,2,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0
0,2,1,0,1,0,2,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,2,0,0,0
0,0,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,3,2,0,1,1,3,0,1,1,1,3,1,1,2,0,1,0,0,0,0
1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,3,1,1,0,3,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,0,1,2,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,0,3,0,1,0,0,0,1,2,1,0,1,1,1,0,0,0,1,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,1,1,3,0,4,2,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,0,3,2,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,1,0,1,1,1,2,1,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,2,0,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,3,0,1,0,2,3,1,0,0,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,1,0,3,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,0,1,0,0,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,0,0,2,4,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,2,0,1,1,2,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,2,2,0,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,1,2,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,1,3,0,2,0,0,0,0,0,1,1,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,2,1,0,1,1,3,2,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,2,2,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0
0,1,0,0,0,2,1,0,1,1,0,1,1,1,0,1,0,2,0,0,1,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,0,2,0,1,0,0,1,1,0,0,1,2,2,1,0,0,0,0,0,1,0,1,0,4,1,1,0,0,2,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,3,2,0,1,2,1,0,1,0,2,0,0,0,2,1,1,2,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,2,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,3,0,2,2,0,0,2,0,0,0,2,0,1,0
0,3,2,1,1,0,1,1,0,0,1,0,0,1,1,3,2,0,1,1,1,2,0,0,1,3,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,1,0,1,0,1,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,2,0,4,2,0,1,0,0,0,0,0,3,1,1,0,1,1,0,0,0,0
2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,2,1,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,2,3,0,1,0,1,0,2,2,0,1,1,0,2,0,0,2,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0
0,0,0,0,1,0,2,0,1,1,0,0,5,2,0,0,1,1,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,2,0,0,0
0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,4,1,0,2,1,0,2,1,2,0,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,2,0
0,0,0,1,0,0,0,0,0,1,2,3,0,0,1,0,4,0,0,0,0,1,1,0,1,1,1,2,1,1,4,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,2,0,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,2,0,0,2,0,3,0,0,1,2,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,0,2,1,0,2,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,1,2,0,1,3,0,1,1,1,1,0,1,0,1,2,0,0
1,2,0,0,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,2,1,0,0,1,0,0,3,0,3,0,0,0,0
1,0,1,1,0,2,0,0,1,0,0,1,1,2,1,2,1,2,0,0,1,0,1,1,0,1,2,1,0,0,1,2,2,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,1,1,0,1,1,2,1,0,0,4,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,4,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,3,1,0,1,1,2,0,0,0,1,3,0,1,0,1,0
0,1,0,0,1,2,0,2,1,0,0,0,1,1,4,1,0,0,0,1,2,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,2,1,0,0,0,2,1,0,2,2,2,0,1,0,0,0,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,0,2,2,1,0,0,0,1,0,0,1,0,0,3,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,1,1,1,1,0,0,1,1,0,1,1,2,1,0,0,1,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,0,0,1,1,0,2,1,0,2,2,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,3,2,0,1,1,1,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,2,0,2,0,2,0,0,0,0,4,0,2,1,0,1,0,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,0,0,0
2,2,2,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0
0,2,0,0,0,1,1,1,0,0,0,0,1,3,0,0,0,0,1,0,0,2,1,0,0,1,3,0,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,1,1,1,1,0,2,0,1,2,1,0,2,0
0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,2,2,2,0,2,1,2,2,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,2,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,1,0,0,0,2,3,0,0,2,0,0,0,1,1,1,1,2,1,0,1,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,0,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,1,1,2,0,1,1,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,2,1,0,2,0,1,1,1,2,0
1,0,0,0,0,0,0,0,2,1,2,2,0,2,0,0,1,2,1,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,1,0,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,2,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0
0,1,0,0,0,1,0,1,1,0,1,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,2,1,1,0,0,0,2,1,0,1,2,1,0,1,0,2,1,3,1,0,0,2,1,0,1,1,1,1,0,0,0,1,0
3,0,0,0,1,2,1,0,2,1,0,1,1,0,0,1,2,1,0,0,2,1,2,0,0,1,2,0,2,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
1,0,0,0,1,0,2,0,1,1,1,1,1,2,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,3,0,2,0,0,2,0,2,2,0,0
0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,2,2,0,1,0,0,1,1,1,1,0,1,0,0,3,1,1,0,0,1,1,2,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,2,0,2,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,0,0,0,1,0,2,0,1,0,0,1,1,2,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,0,1,1,2,0,0,2,1,0,0,0,0,0,2,0,0,3,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,0,1,2,0,0
2,1,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,1,1,2,1,0,0,1,0,3,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,1,1,0,0,3,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,1,0,2,1,1,2,1,0,1,0,0,1,1,0,1,1,0,1,1,0,2,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0
0,2,1,0,1,0,2,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,2,0,0,0
1,0,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,3,2,0,1,1,3,0,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,2,3,1,1,0,3,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,1,1,1,1,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,0,3,0,1,0,0,0,1,2,1,0,1,1,1,0,0,1,2,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,1,1,3,0,4,2,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,1,3,2,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,1,0,2,1,1,2,1,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,2,0,2,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,3,1,1,0,2,3,1,0,0,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,2,0,3,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,1,1,0,0,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,1,0,2,4,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,2,0,1,1,2,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,2,2,0,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,2,0,1,2,1,0,0,1,2,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,1,2,0,0,2,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,1,3,0,2,1,0,0,0,0,1,1,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,2,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0
0,1,0,0,0,2,1,1,1,1,0,1,1,1,0,1,0,2,0,0,1,2,3,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,2,0,2,0,1,0,0,1,1,0,0,1,2,2,1,0,0,0,0,0,1,0,1,0,4,1,1,0,0,2,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,3,2,1,1,2,1,0,2,0,2,0,0,0,2,1,1,2,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,3,1,0,0,0,1,2,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,0,0,3,0,2,2,0,0,2,0,0,0,2,0,1,0
0,3,2,1,1,0,1,1,0,0,1,0,0,1,2,3,2,0,1,1,1,2,0,0,1,3,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,0,1,1,1,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,2,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,0,0,2,0,4,2,0,1,0,0,0,0,0,3,1,1,0,1,1,0,0,0,0
2,0,0,0,1,1,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,0,2,1,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,2,3,0,1,0,1,0,2,2,0,1,1,1,2,0,0,2,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0
0,0,0,0,1,0,2,0,1,1,0,1,5,2,0,0,1,1,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,2,0,1,0
0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,0,4,1,0,2,1,0,2,1,2,0,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,2,0
0,0,0,1,0,0,0,0,0,1,2,3,0,0,1,0,4,0,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,2,0,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,2,0,1,2,0,3,0,0,1,2,1,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,0,0,2,1,0,0,0,1,2,0,0,0,0,2,1,0,2,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,2,2,0,1,3,0,1,1,1,1,0,1,0,1,2,0,0
1,3,0,0,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,2,1,0,0,1,0,0,3,0,3,0,0,0,0
1,0,1,1,0,2,0,0,1,0,0,1,2,2,1,2,1,2,0,0,1,0,1,1,0,1,2,1,0,0,1,3,2,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,1,1,0,2,1,2,1,0,0,4,1,2,0,1,0,1,2,0,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,5,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,0,3,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,3,1,0,1,1,3,0,0,0,1,3,0,1,0,1,0
0,1,0,0,1,2,1,2,1,0,0,0,1,2,4,1,0,0,0,1,2,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0
0,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,1,2,0,0,0,1,2,1,0,0,0,2,1,0,2,2,3,0,1,0,0,0,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,0,0,2,3,1,0,0,0,1,0,0,1,0,0,3,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,2,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,1,1,1,1,0,0,1,1,0,1,1,2,1,0,0,1,0,2,0,0,0,1,2,0,0,0,1,0,0,0,2,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,0,0,2,1,0,3,1,0,2,2,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,3,2,0,1,1,1,0
0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,2,0,2,0,2,0,0,0,0,4,0,2,1,0,2,0,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,2,1,1,0,1,0
0,2,0,0,0,1,1,1,0,0,0,0,1,3,0,0,0,0,1,0,0,3,1,0,0,1,4,0,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,1,1,1,1,0,2,0,1,2,1,0,2,0
0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,2,2,2,1,2,1,2,2,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,2,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,4,1,1,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,1,0,0,0,2,3,0,0,2,1,0,0,1,1,1,1,2,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,0,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,2,1,2,0,1,1,0,1,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,2,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,2,0,0,1,2,1,1,0,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,1,0,2,0,0,1,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,2,1,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,0,0,1,2,0,1,1,0,1,3,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,2,1,1,0,0,0,2,1,1,1,2,1,0,1,0,2,1,3,1,0,0,3,1,0,1,1,1,1,0,0,0,1,0
3,1,0,0,1,2,1,0,2,1,0,1,1,0,0,1,2,1,0,0,2,1,2,0,0,1,2,0,3,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
1,0,0,0,1,0,2,1,1,1,1,1,1,2,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,3,0,2,0,0,2,0,2,3,0,0
0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,0,1,1,1,1,0,1,0,0,3,1,1,0,0,1,1,3,3,1,0,0,0,2,0,0,0,1,0,1,0
0,1,3,0,2,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,1,0,0,1,0,2,0,1,0,0,1,1,2,0,0,0,0,2,0
1,1,1,0,0,0,1,2,0,1,1,1,1,2,0,0,2,1,0,0,0,0,0,2,0,0,3,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,1,1,2,0,0
2,1,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,1,1,2,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,1,1,0,0,4,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,1,0,2,1,1,2,1,0,1,0,0,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0
0,2,1,0,1,0,2,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,3,0,0,0
1,0,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,3,3,0,1,1,3,0,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,2,3,1,1,0,3,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,0,1,2,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,1,1,2,2,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,0,3,0,2,1,0,0,1,2,1,0,1,1,1,0,0,1,2,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0
0,1,0,1,1,1,3,0,4,2,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,2,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,1,0,2,1,1,2,1,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0
1,0,0,2,0,3,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,1,3,1,1,0,2,3,1,0,0,0,1,0,0,2,2,2,0,1,0,0,1,0,0,0
0,2,0,0,0,0,0,2,0,3,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,1,1,0,1,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,0,1,0,2,5,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,2,0,1,1,2,1,0,0,0,1,2,1,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,2,2,0,1,1,0,0,0,2,1,1,0,1,2,1,0,0,0,2,0,1,2,1,0,0,1,2,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,1,2,0,0,2,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,3,0,1,0,2,0,0,1,1,3,0,2,1,0,0,0,0,1,1,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,2,2,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,3,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0
0,1,0,0,0,2,1,1,1,1,0,1,2,1,0,1,0,2,0,0,1,2,3,1,0,2,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,2,0,1,0,0,1,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,0,4,1,1,0,0,2,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,3,2,1,1,2,1,0,2,0,2,0,0,0,3,1,1,2,1,0,1,1,1,3,1,0
1,0,0,1,0,2,0,0,0,1,3,1,0,0,0,1,3,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,0,0,3,0,2,2,0,0,2,0,1,0,2,0,1,0
0,3,2,1,1,0,1,2,0,0,1,0,1,1,2,3,2,0,1,1,1,2,0,0,1,3,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,3,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,0,1,2,1,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,0,0,0,0,1,2,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,0,0,2,0,4,2,1,1,0,0,0,0,0,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,1,0,0,0,0,1,4,1,0,0,1,1,0,2,1,1,2,1,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,1,2,1,0,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,1,0,0,1,0,2,2,0,0,0,1,2,3,0,1,0,1,0,2,2,0,1,1,1,2,0,0,2,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0
0,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,2,2,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,2,0,1,0
0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,1,4,1,0,2,1,1,2,1,2,0,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,2,0
0,0,0,1,0,0,0,0,0,1,2,3,0,0,1,0,4,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,1,0,1,0,0,0,2,2,0,0,0,2,0,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,1,2,0,0,0,2,0,1,2,0,3,0,0,1,3,2,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,1,0,2,1,0,0,0,1,2,0,0,0,0,2,1,0,2,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,2,2,0,1,3,0,1,1,1,1,0,2,0,1,2,0,0
1,3,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,1,1,0,0,0,2,1,0,0,1,0,0,3,0,3,0,0,0,0
1,0,1,1,0,2,0,0,1,0,0,1,2,2,2,2,1,2,0,0,1,0,1,1,0,1,2,1,0,0,1,3,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,2,0,0,2,0,0
0,0,0,0,0,2,0,0,2,0,0,0,1,0,2,1,1,0,2,1,2,1,0,0,4,1,2,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,5,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,2,0,1,0,1,2,0,3,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,3,1,0,1,1,3,0,0,0,1,3,0,1,0,1,0
0,1,0,0,1,2,1,2,1,0,0,0,1,2,4,1,0,0,0,1,3,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0
0,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,1,2,0,0,0,1,2,1,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,2,1,2,0,1,1,0,0,1,0,1,0,0,0,0,2,3,1,0,0,0,1,0,0,1,0,0,3,1,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,3,0,0
0,0,1,0,0,1,0,0,2,2,0,3,0,1,1,1,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,0,0,0,1,0,0,1,2,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,1,0,2,1,0,3,1,0,2,2,1,1,0,2,0,1,1,1,1,0,0,0,1,0,0,3,2,0,1,1,1,0
0,0,0,0,0,0,2,1,1,0,1,2,1,0,0,1,0,2,2,0,2,0,2,0,0,0,0,4,0,2,1,0,2,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,0,1,2,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,2,2,1,0,1,0
1,2,0,0,0,1,1,1,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,0,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,1,1,1,1,0,2,0,1,2,1,0,2,0
0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,1,0,1,1,1,0,2,2,2,2,1,2,1,2,2,0,0,0,1,0,1,0,0,0,0,0
0,2,0,0,3,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,3,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,4,1,1,0,1,1,0,0,1,0,0
0,0,1,1,0,0,3,1,0,0,0,2,3,0,0,2,1,0,0,1,2,1,1,2,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,1,0,1,2,1,1,1,0
0,2,1,0,0,1,3,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,2,1,2,0,1,1,1,1,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,2,1,1,2,0,1,1,0,1,2,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,2,0,1,1,2,1,1,0,0,2,0,1,1,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,1,2,1,0
0,1,0,2,0,0,1,1,0,1,1,3,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,1,3,2,1,2,1,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,1,0,1,2,0,1,1,0,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,2,1,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,2,1,1,0,0,0,2,1,1,1,2,1,0,1,0,2,1,3,1,0,0,3,2,0,1,1,1,1,0,0,0,1,0
3,1,0,0,1,3,1,0,3,1,0,1,1,0,0,1,2,1,0,0,2,1,2,0,0,1,2,0,3,0,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
1,0,0,0,1,0,2,1,1,1,1,1,1,2,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,2,3,0,0
0,0,0,1,0,1,2,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,0,1,1,1,1,0,1,0,0,3,1,1,0,0,1,1,3,3,1,0,1,0,2,0,0,0,1,0,1,0
0,1,3,0,2,0,1,0,0,1,1,0,1,0,0,2,2,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,1,0,0,1,0,2,0,1,0,0,1,1,2,0,1,0,0,2,0
1,1,1,1,0,0,1,2,0,1,1,1,1,2,0,0,2,1,0,0,0,0,0,2,0,0,4,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,1,1,2,0,0
2,2,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,1,1,0,0,4,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,1,0,2,1,1,2,1,0,1,0,0,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0
0,2,1,0,1,0,2,1,0,1,1,0,1,0,2,0,1,0,0,1,0,1,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,1,0,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,3,3,0,1,1,3,0,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,3,3,2,1,0,3,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,0,1,2,1,1,1,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,2,1,2,2,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,0,3,0,2,1,0,0,1,2,2,0,1,1,1,0,0,1,2,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,0,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,2,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,1,0,2,1,1,2,1,2,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0
1,0,0,2,0,3,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,3,0,1,1,0,1,3,1,1,0,2,3,1,0,0,0,1,0,0,2,2,2,0,1,0,0,1,0,0,0
0,2,1,0,0,0,0,2,0,3,2,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,1,1,0,1,2,1,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,1,1,0,2,5,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,2,0,1,1,2,1,1,0,0,1,2,1,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,1,1,2,2,1,1,1,0,0,0,2,1,1,0,1,2,1,0,0,0,2,0,1,2,1,0,0,1,3,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,2,2,0,0,2,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,3,0,1,0,2,0,0,1,1,3,0,2,1,0,0,0,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,2,2,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,1,1,1,3,1,1,0,1,1,1,2,0,1,1,0,0,1,1,0,0,1,3,2,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0
0,1,0,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,2,3,1,1,2,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,3,0,1,0,0,1,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,1,4,1,1,0,0,2,1,0,0,1,1,0
1,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,3,2,1,2,2,1,0,2,0,2,0,0,0,3,1,1,2,1,0,1,1,1,3,1,0
2,0,0,1,0,2,0,0,0,1,3,1,0,0,0,1,3,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,0,0,3,0,2,2,1,0,2,0,1,0,2,0,1,0
0,3,2,1,1,0,1,2,0,0,1,0,1,1,2,3,2,0,1,1,1,2,0,0,1,3,0,1,0,2,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,3,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,0,1,2,1,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,1,0,0,0,1,2,1,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,0,0,2,0,4,2,1,1,0,0,0,0,0,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,1,0,0,0,0,1,4,2,0,0,1,1,0,2,1,1,2,2,2,0,1,2,0,0,1,2,2,0,0,0,0,0,0,0,1,2,1,0,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,1,0,0,1,0,2,2,0,0,0,1,2,3,0,1,0,1,0,2,2,0,1,1,1,2,0,0,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,2,2,0,1,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,2,0,1,0
0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,1,4,2,0,2,1,1,2,1,2,0,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,3,0
0,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,4,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,1,0,1,0,0,0,2,2,0,0,0,2,0,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,2,2,0,0,0,2,0,1,2,0,3,0,0,1,4,2,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,1,0,2,1,0,0,1,1,2,0,0,0,0,2,2,0,2,0,0,0,0,2,1,0,0,2,1,1,0,0,1,0,0,0,1,2,2,0,1,3,0,1,1,1,1,0,2,0,1,2,0,0
1,3,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,1,1,0,0,0,2,2,0,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,2,2,2,2,1,2,0,0,1,0,1,1,0,1,2,1,0,0,1,3,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,0,0
0,0,0,0,0,2,0,0,2,0,0,0,1,0,2,1,1,0,2,2,2,2,0,0,4,1,2,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,5,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,3,0,1,0,1,2,0,3,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,3,1,0,1,1,3,0,0,0,1,3,0,1,1,1,0
0,1,0,0,1,2,2,2,1,0,0,0,1,2,4,1,0,0,0,1,3,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,3,0,0,0
0,1,0,1,1,0,2,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,2,2,0,0,0,1,2,1,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,1,1,1,0,0
2,0,1,0,0,2,1,2,0,1,1,0,0,2,0,1,0,0,0,0,2,3,1,0,0,0,1,0,0,1,0,0,3,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,3,0,0
0,0,1,0,0,1,0,0,2,2,0,3,1,1,1,1,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,1,1,1,0,2,1,0,3,1,0,2,2,1,1,0,2,0,1,1,1,1,0,0,0,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,0,2,1,1,0,1,2,1,0,1,1,0,2,2,0,2,0,2,0,0,0,0,4,0,2,1,0,2,0,0,1,1,1,2,0,0,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,0,1,3,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,2,2,1,0,1,0
1,2,0,0,0,1,1,1,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,1,1,0,0,0,2,0,2,0,0,1,1,0,0,0,2,1,1,1,1,0,2,0,1,2,1,0,2,0
0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,2,0,1,1,1,0,2,2,2,2,1,2,1,2,2,0,0,0,1,0,1,0,0,0,1,0
0,2,0,0,3,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,4,1,1,0,1,1,0,0,1,0,0
0,0,1,1,1,0,3,1,0,0,0,2,3,0,0,2,1,0,0,1,2,1,1,2,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,1,0,1,2,1,1,2,0
0,2,1,0,0,1,3,1,2,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,2,1,2,0,1,1,1,1,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,1,0,1,2,1,1,2,0,1,1,0,1,2,0,0,0,0,0,1,0,2,1,2,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,2,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,2,0,1,1,2,1,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,2,0,1,1,0,1,1,2,1,0
0,1,0,2,0,0,1,1,0,1,1,3,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,2,3,2,1,2,1,2,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,1,0,1,2,0,2,1,0,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,2,0,2,1,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0
0,0,1,0,2,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,1,2,0,0,2,1,1,0,0,0,2,1,1,1,3,1,0,1,0,2,1,3,1,0,0,3,2,0,1,1,1,1,0,0,0,1,0
3,1,0,0,1,3,1,0,3,1,0,1,1,0,0,1,2,1,0,0,2,1,2,0,0,1,2,0,3,1,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,3,1,0,0,0,0
1,0,0,0,1,0,2,1,1,1,1,1,1,2,2,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,2,3,0,0
0,0,0,1,0,1,2,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,0,1,1,1,2,0,1,0,0,3,1,1,0,0,1,1,3,3,1,0,1,0,2,0,1,0,1,0,1,0
0,1,3,0,2,0,1,0,0,1,1,1,1,0,0,3,2,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,1,0,0,1,0,2,0,1,0,0,1,1,2,0,1,0,0,2,0
1,1,1,1,0,0,1,2,1,1,1,1,1,2,0,0,2,2,0,0,0,0,0,2,0,0,4,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,1,1,2,0,0
2,2,0,0,0,0,0,2,1,2,0,0,2,1,1,1,0,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,4,0,1,0,1,1,0,0,4,0,0,0,0
0,0,2,2,0,0,1,0,0,1,2,0,2,1,2,1,0,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0
0,2,1,0,1,0,2,1,0,1,1,0,1,0,2,0,1,0,1,1,0,2,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,2,0,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,3,3,0,1,1,3,0,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,3,3,2,1,0,3,1,0,0,1,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,0,0,2,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,0,1,2,1,1,1,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,2,1,2,2,0
2,2,0,0,1,1,2,0,3,1,1,1,0,0,1,3,0,2,1,0,0,1,2,2,0,1,1,1,0,0,1,2,1,1,2,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,1,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,3,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,1,2,1,2,0,2,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0
1,0,0,2,1,3,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,3,0,1,1,0,1,3,1,1,0,2,3,1,1,0,0,1,0,0,2,2,2,0,1,0,0,1,0,0,0
0,2,1,0,0,0,0,2,0,3,2,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,0,1,1,1,0,2,2,2,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,1,1,0,2,5,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,3,0,1,1,2,1,1,0,0,1,2,2,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,0,1,2,1,0,0,0,2,0,1,2,1,0,0,1,3,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,3,0,1,0,2,0,0,1,1,3,0,2,1,0,0,0,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,2,2,1,0,1,2,1,0,0,0,1,0,0,0,0,2,1,1,2,1,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,1,1,3,1,1,0,1,1,1,2,1,1,1,0,0,1,1,0,0,1,3,2,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0
0,1,0,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,2,2,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0
1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,3,0,1,0,0,1,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,1,4,1,1,0,0,2,2,0,0,1,1,0
2,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,3,2,1,2,2,1,1,2,0,2,0,0,0,3,1,1,2,1,0,1,1,1,3,1,0
2,0,0,1,0,2,0,0,0,1,3,1,0,1,0,1,3,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,0,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,2,1,1,0,1,2,0,0,1,0,1,1,2,3,2,0,1,1,1,2,0,0,1,3,0,1,0,2,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
0,0,1,0,0,0,0,1,0,0,3,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,1,2,2,1,2,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,0,2,0,3,1,0,0,0,1,2,1,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,1,0,2,0,4,2,1,1,0,0,0,1,0,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,2,0,0,0,0,1,4,2,0,0,1,1,0,2,1,1,2,2,2,0,1,2,0,0,1,2,2,0,0,0,1,0,0,0,1,2,1,0,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,1,0,0,1,1,2,2,0,0,0,1,2,3,0,1,0,2,0,2,2,0,1,1,1,2,0,0,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,4,2,0,1,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,1,1,0,1,0,0,2,0,1,0
1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,1,4,2,0,2,1,1,2,1,2,0,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,4,0
0,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,4,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,1,0,1,0,1,0,2,2,0,0,0,3,0,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,2,0,0,0,2,2,0,0,2,1,2,2,0,0,0,2,0,1,2,0,3,0,1,1,4,2,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,1,1,1,0,2,1,0,0,1,1,2,0,0,0,0,2,2,0,2,0,0,0,0,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,1,1,1,0,2,0,1,2,0,0
1,3,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,1,0,0,0,2,2,1,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,2,2,2,2,1,2,0,0,1,0,1,1,0,2,2,1,0,0,1,3,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,1,0
1,0,0,0,0,2,0,0,2,0,0,0,1,0,2,1,1,0,2,2,2,2,0,0,4,1,2,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,6,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,3,0,1,0,1,2,0,3,0,0,0,3,2,2,1,0,0,0,0,0,0,0,1,3,1,0,1,1,3,0,0,0,1,3,0,1,1,1,0
0,1,0,1,1,2,2,2,1,0,0,0,1,2,4,1,0,0,0,1,3,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,3,0,0,0
0,1,0,1,1,0,2,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,3,2,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,1,1,1,0,0
2,1,1,0,0,2,1,2,0,1,1,0,0,2,0,1,0,0,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,3,1,0,2,0,3,0,0
0,1,1,0,0,1,0,0,2,2,0,3,1,1,1,2,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,2,2,0,1,1,0,1,0
0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,1,1,1,0,2,1,0,4,1,0,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,0,2,1,1,0,1,2,1,0,1,1,0,2,2,0,2,0,2,0,0,0,1,4,0,2,2,0,2,0,0,1,1,1,2,0,0,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,0,1,3,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,0,1,1,0,2,1,0,2,2,1,0,1,0
1,2,1,0,0,1,1,1,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,1,1,0,0,0,2,0,2,1,0,1,1,0,0,0,2,1,1,1,1,0,2,0,1,2,1,0,2,0
0,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,2,0,1,1,1,0,3,2,2,2,1,2,1,2,3,0,0,0,1,0,1,0,0,0,1,0
0,2,0,0,3,2,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,4,1,1,0,1,1,0,0,1,1,0
0,0,1,1,1,0,3,1,0,0,0,2,4,0,0,2,1,0,1,1,2,1,1,2,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,1,0,1,2,1,1,2,0
0,2,1,0,0,1,3,1,2,0,1,1,1,2,1,1,1,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,2,1,2,1,1,1,1,1,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,1,0,1,2,0,0,0,0,0,1,0,2,1,2,2,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,2,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,2,0,1,1,2,1,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,1,2,0,1,1,0,1,1,3,1,0
0,1,0,2,0,0,1,1,0,1,1,3,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,1,0,1,3,3,2,1,2,1,2,2,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,1,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,2,2,0,2,1,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0
0,0,1,0,3,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,1,3,0,0,2,1,1,0,0,0,2,1,1,1,3,1,0,1,0,2,1,3,1,0,0,3,2,0,1,1,1,1,0,0,0,1,0
3,1,0,0,1,3,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,1,2,0,3,1,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0
1,0,0,0,1,0,2,1,1,1,1,1,1,2,2,1,0,0,0,1,1,1,0,0,2,1,0,0,1,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,3,3,0,0
0,0,0,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,1,1,1,1,2,0,1,0,0,3,1,1,0,0,1,1,3,3,1,0,1,0,2,0,1,0,1,0,1,0
0,1,3,0,2,0,1,0,0,1,1,1,1,0,0,3,2,0,1,0,0,0,0,3,0,4,1,0,0,1,0,1,0,0,0,0,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,0,1,0,0,2,0
1,2,1,1,0,0,1,2,1,1,1,1,1,2,0,0,2,2,0,0,0,0,0,2,0,0,4,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,2,1,2,0,0
2,2,0,0,0,0,0,2,1,2,0,0,2,1,1,1,0,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,1,1,1,4,0,1,0,2,1,0,0,4,0,0,0,0
0,0,3,2,0,0,1,0,0,1,2,0,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0
0,2,1,0,2,0,2,1,0,1,1,0,1,0,2,0,1,0,1,1,0,2,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,3,0,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,3,3,0,1,1,3,1,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,1,0,0,1,2,1,0,0,0,0,1,1,1,1,3,3,2,1,1,3,1,0,0,1,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,0,0,2,0,0,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,0,1,3,1,1,1,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,2,0,1,1,1,2,0,3,1,1,1,0,0,1,3,0,2,1,0,0,1,2,2,0,1,1,1,0,0,1,2,1,1,2,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,1,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,3,1,1,1,1,1,0,0,0,2,0,1,0,1,0,1,1,1,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,2,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0
1,0,0,2,1,3,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,3,0,1,1,0,1,3,1,1,0,2,3,1,1,0,0,1,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,0,3,2,2,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,2,1,1,2,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,0,0,1,0,0,0,2,0,0,1,1,0,2,5,1,0,0,0,0,0,1,0,1,0,0,3,0,0,2,0,1,1,0,3,0,1,1,2,1,1,0,0,1,2,2,0,0,1,1,1,1,1,0,0
1,1,1,2,0,0,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,0,1,2,1,0,0,0,2,0,2,2,1,1,0,1,3,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,0,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,2,0,0,1,0,1,1,1,3,0,1,0,2,0,0,1,1,3,0,2,1,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,2,2,1,0,1,2,1,1,0,0,1,0,0,0,0,2,1,1,2,2,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,1,1,3,1,1,0,1,1,1,2,1,1,1,0,0,1,1,0,0,1,3,2,1,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,0,1,1,1,0,2,0,0
0,1,0,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,2,2,1,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,2,1,1,0,1,0,0
1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,3,0,1,0,0,1,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,0,1,2,0
2,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,2,2,0,0,3,2,1,2,2,1,1,2,0,2,0,0,0,3,1,1,2,1,0,1,1,1,3,1,0
2,0,0,1,0,2,0,0,0,1,3,1,0,2,0,1,3,1,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,0,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,2,1,1,0,1,2,0,0,1,0,1,1,2,3,2,0,2,1,1,2,1,0,1,3,0,1,0,2,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
1,0,1,0,0,0,0,1,0,0,3,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,1,2,2,1,3,0,1,1,0,1,0,0,0
0,1,1,0,0,1,3,0,1,2,0,3,1,0,0,0,1,2,1,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,1,0,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,2,0,0,0,0,1,5,2,0,0,1,1,0,2,1,1,2,2,2,0,1,2,0,0,1,2,2,1,0,0,1,0,0,0,1,2,1,0,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,1,0,0,1,1,2,2,0,0,0,1,2,3,0,1,0,2,0,2,2,0,1,1,2,2,0,1,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,4,2,0,1,2,2,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,2,4,2,0,2,1,1,2,1,2,0,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,2,0,0,1,0,4,0
1,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,4,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,1,0,1,0,1,0,2,2,0,0,0,3,1,2,0,0,0,1,0,0,2,0
0,1,0,2,2,0,0,2,0,2,0,0,0,2,2,0,0,3,1,2,2,0,0,0,2,1,1,2,0,3,0,1,1,4,2,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,3,1,1,0,2,1,0,0,1,1,2,0,0,0,0,2,2,0,2,0,0,0,0,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,1,1,1,0,2,0,1,2,0,0
1,3,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,2,1,1,1,0,0,1,1,1,2,0,1,1,1,0,0,0,2,2,1,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,3,2,2,2,1,2,0,0,1,0,1,1,0,2,2,1,0,0,2,3,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,1,0
1,0,0,0,0,2,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,5,1,2,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,6,0,0,1,0
0,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,1,3,0,1,0,1,2,0,3,0,0,0,3,2,2,1,0,0,0,0,0,0,0,1,4,1,0,1,1,3,0,0,0,1,3,0,1,1,1,0
0,1,0,1,1,2,2,2,1,0,0,0,1,3,4,1,0,0,0,1,3,1,3,0,0,1,0,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,3,0,1,0
0,1,0,1,1,1,2,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,3,2,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,2,1,1,0,0
2,1,1,0,0,2,2,2,0,1,1,0,0,2,0,1,0,0,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,1,0,1,0,1,1,0,1,2,0,0,1,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,1,0,0,2,2,0,3,1,1,1,2,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,2,2,0,1,1,1,1,0
1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,1,1,1,1,2,1,0,4,1,0,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,0,2,1,1,0,1,2,1,0,2,1,0,2,2,0,2,0,2,0,0,1,1,4,0,2,2,0,2,0,0,1,1,1,2,0,0,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,0,1,3,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,1,1,1,0,2,1,0,2,2,1,0,1,0
1,2,1,0,0,1,1,2,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,1,1,0,0,0,2,0,2,1,0,1,1,0,0,0,2,2,1,1,1,0,2,0,1,2,1,0,2,0
1,0,1,0,1,0,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,1,1,3,0,1,1,1,0,3,2,2,2,1,2,1,2,3,0,0,0,1,0,1,0,0,0,1,0
0,2,1,0,3,3,1,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,4,1,1,0,1,1,0,0,1,1,0
0,0,2,1,1,0,3,1,0,0,0,2,4,0,0,2,1,0,1,1,2,1,2,2,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,1,0,1,2,1,1,2,0
0,2,1,0,0,1,3,1,2,0,1,1,1,2,1,1,1,0,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,2,1,2,1,2,1,1,1,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,1,0,1,2,0,0,0,0,0,1,0,3,1,2,2,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,3,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,3,0,1,1,2,1,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,1,2,0,1,1,1,1,1,3,1,0
0,1,0,2,0,0,1,1,0,1,1,3,0,0,1,1,0,0,0,0,1,0,2,1,1,1,0,1,2,0,0,1,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,1,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,2,1,1,0,2,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
0,0,1,0,3,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,1,3,0,0,2,1,1,0,0,0,2,2,1,1,3,1,0,1,0,2,1,3,1,0,1,3,2,0,1,1,1,1,0,0,0,1,0
3,1,0,0,1,3,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,1,2,0,3,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,0,0,0
1,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,1,0,0,2,1,0,0,1,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,3,3,0,0
0,0,0,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,1,1,1,1,2,0,1,0,0,3,1,1,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,0,1,0
0,1,3,0,2,0,1,0,0,1,1,1,1,0,0,3,2,0,1,0,0,0,0,3,0,4,2,0,0,1,0,1,0,0,0,0,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,0,1,0,0,3,0
1,2,1,1,0,0,1,2,1,1,1,1,1,2,0,0,2,2,0,0,0,0,0,2,0,0,4,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,0,2,1,1,1,0,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,1,1,1,4,1,1,0,2,1,0,0,4,0,0,0,0
0,0,3,2,0,0,1,0,0,1,2,0,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,2,1,0,1,0,0,2,0,0
0,3,1,0,2,0,2,1,0,1,1,0,1,0,2,0,1,0,1,1,0,2,1,1,1,0,0,2,2,1,0,1,2,0,2,0,1,0,0,0,1,0,2,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,3,0,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,4,3,0,1,1,4,1,1,1,2,3,1,1,2,0,1,0,0,0,0
1,0,1,0,1,2,1,0,0,1,2,1,0,0,0,0,1,1,1,1,3,3,2,1,1,4,1,0,1,1,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,0,0,2,0,1,2,0,1,0,1,1,1,1,0,4,1,0,1,1,1,1,2,0,1,1,3,1,1,1,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,2,0,1,1,1,2,0,3,1,1,1,0,0,1,3,1,2,1,0,0,1,2,2,0,1,1,1,0,0,1,2,1,1,2,1,0,1,2,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,1,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,1,1,2,3,1,1,1,1,1,0,0,0,2,0,1,0,1,0,1,1,2,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,2,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,2,1,0,1,0,0
1,0,0,2,1,3,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,2,0,0,1,0,3,0,1,1,0,1,3,1,1,0,2,3,1,1,0,0,2,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,0,3,2,2,0,2,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,0,0,1,0,1,0,2,0,0,1,1,0,2,5,1,0,0,0,0,0,1,0,1,0,0,3,0,0,2,0,1,2,0,3,0,1,1,2,1,1,0,0,1,2,2,0,0,1,1,1,1,1,0,0
1,1,1,2,1,0,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,0,1,2,1,0,0,0,2,0,2,2,1,1,0,1,3,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,1,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,2,0,0,2,0,1,1,1,3,0,1,0,2,0,0,1,1,3,0,2,1,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,3,2,1,0,1,2,1,1,0,0,1,0,1,0,0,2,1,1,2,2,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,1,1,3,1,1,0,1,1,1,2,1,1,1,0,0,1,1,0,0,1,3,2,1,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,0,0
0,1,0,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,2,2,1,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,3,1,1,0,1,0,2,0,2,1,1,0,1,0,0
1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,3,0,1,0,1,1,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,0,2,2,0
2,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,1,1,2,0,2,0,0,0,3,1,2,2,1,0,1,1,1,3,1,0
2,0,0,1,0,2,0,0,0,1,3,1,0,2,0,1,3,1,1,2,1,0,0,1,2,1,0,1,0,0,0,0,1,0,3,1,1,0,0,1,1,1,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,2,1,1,0,1,2,0,0,1,0,1,1,2,3,2,0,2,1,2,2,1,0,1,3,0,1,0,3,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,2,1,0,1,1,0,0,2,2,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,1,2,2,1,3,0,1,1,0,1,0,0,0
0,1,1,0,0,1,4,0,1,2,0,3,1,1,0,0,1,2,1,0,1,1,1,1,0,0,2,0,0,1,1,0,1,1,1,0,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,2,0,0,0,0,1,5,2,0,0,1,1,0,2,1,1,2,2,2,0,1,2,0,0,1,2,2,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,1,0,0,1,2,2,2,0,0,0,1,2,3,0,1,0,2,0,2,2,0,1,1,2,2,0,2,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,4,2,0,1,2,2,2,2,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,2,4,2,0,2,1,1,2,1,2,1,2,0,1,3,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,2,0,0,1,0,4,0
1,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,4,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,2,1,0,1,0,2,0,2,2,0,0,0,3,2,2,0,0,0,1,0,0,2,0
0,2,0,2,2,0,0,2,0,2,0,0,0,2,2,0,0,3,1,2,2,0,0,0,2,1,1,2,0,4,0,1,1,4,2,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0
1,1,0,4,1,1,0,2,1,0,0,1,1,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,1,1,1,0,2,0,1,2,0,0
1,3,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,2,1,2,1,0,0,1,1,1,2,0,1,1,1,0,0,0,2,3,1,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,3,2,2,2,1,2,0,0,1,0,1,1,0,2,2,1,0,0,2,3,2,0,0,0,0,2,0,1,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,5,1,2,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,6,0,0,1,0
1,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,1,3,0,1,0,1,2,0,3,0,0,0,3,2,2,1,0,0,0,0,0,0,0,1,4,1,0,1,1,3,0,0,0,1,3,0,2,1,1,0
0,1,0,1,1,2,2,2,1,0,0,0,1,3,4,1,0,0,0,1,3,2,3,0,0,1,1,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,3,0,1,0
0,1,0,1,1,1,2,1,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,3,3,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,3,1,1,0,0
2,1,1,0,0,2,2,2,0,1,1,0,0,2,0,1,0,1,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,1,0,1,0,1,1,0,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,1,0,0,2,2,0,3,1,1,2,2,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,2,2,1,1,1,1,1,0
1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,4,0,0,1,0,1,1,1,1,2,2,0,4,1,0,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,0,2,1,1,0,1,2,1,0,2,1,0,2,2,0,2,0,2,0,0,1,2,4,0,2,2,0,2,0,0,1,1,1,2,0,1,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,1,1,3,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,1,3,1,0,1,1,0,1,1,1,1,1,1,1,0,2,1,0,2,2,1,0,2,0
1,2,1,0,0,1,1,2,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,2,1,0,0,0,2,0,2,1,0,1,1,0,0,0,2,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,0,0,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,0,3,2,2,2,1,2,1,2,3,0,0,0,1,0,1,0,0,0,1,0
0,2,1,0,3,3,1,1,1,2,1,1,0,1,1,1,1,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,4,1,1,0,1,1,0,0,1,1,0
0,0,2,1,1,0,3,1,0,0,0,2,4,0,0,2,1,0,1,1,2,1,2,2,1,0,2,2,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,0,1,3,1,2,0,1,1,1,2,1,1,1,0,0,1,1,0,0,0,0,1,2,2,1,0,2,0,2,2,1,2,1,2,1,1,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,2,0,1,2,0,0,0,0,0,1,0,3,1,2,2,1,0,1,0,0,2,1,1,1,0,1,0,0,0,0,1,3,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,4,0,1,1,2,1,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,1,3,1,0
0,1,0,2,0,0,1,1,0,1,1,3,0,0,1,1,0,0,0,1,1,0,2,1,1,1,0,1,2,0,1,1,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,2,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,2,2,1,0,2,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
0,0,1,0,3,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,1,3,0,0,2,2,1,0,0,0,2,2,1,1,3,1,0,1,0,2,1,3,1,0,1,3,2,0,1,1,1,1,0,1,0,1,0
3,1,0,0,1,4,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,1,2,0,3,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,0,1,0
1,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,0,2,1,1,0,1,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,3,3,0,0
0,0,0,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,2,1,2,0,2,2,0,1,0,1,1,1,1,2,0,1,0,0,3,1,1,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,0,1,0
0,1,3,0,2,0,1,0,0,2,1,1,1,0,0,3,2,0,1,0,0,0,0,3,0,4,2,0,0,1,0,1,0,0,0,0,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,1,1,0,0,3,0
1,2,1,1,0,0,1,2,1,1,1,1,1,2,0,0,2,2,0,0,0,0,0,2,0,0,4,0,3,0,0,0,3,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,0,2,1,1,1,1,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,0,0
0,0,3,2,0,0,1,0,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,2,2,0,1,0,0,2,0,0
0,3,1,0,2,0,2,1,0,1,1,0,1,0,2,0,1,1,1,1,0,2,1,1,1,0,0,2,2,1,0,2,2,0,2,0,1,0,0,0,1,0,2,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,3,0,1,1,2,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,4,3,0,1,1,4,1,1,1,2,3,1,2,2,0,1,0,0,0,0
1,0,1,0,1,2,1,0,0,1,2,1,0,0,0,0,2,1,1,1,3,4,2,1,1,4,1,0,1,1,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,0,0,2,0,1,2,0,1,0,1,1,1,1,1,4,1,0,1,1,1,1,2,0,1,1,3,1,1,2,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,2,0,1,1,1,2,0,3,1,2,1,0,0,1,3,1,2,1,0,0,1,2,2,0,1,1,1,0,0,1,2,1,1,2,1,0,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,1,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,1,1,2,3,1,2,1,1,1,0,0,0,2,0,1,1,1,0,1,1,2,0,0
1,1,0,0,1,4,2,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,3,1,0,1,0,0
1,0,0,3,1,3,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,2,0,0,1,0,3,0,1,1,1,1,3,1,1,0,2,3,1,1,0,0,2,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,0,3,2,2,0,2,0,0,0,2,1,0,0,1,1,0,0,1,1,1,1,0,1,2,0,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,0,0,1,0,1,0,2,0,0,1,1,0,2,6,1,0,0,1,0,0,1,0,1,0,0,3,0,0,2,0,1,2,0,3,0,1,1,2,1,1,0,0,1,2,2,0,0,1,1,1,1,1,0,0
1,1,1,2,1,0,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,1,2,1,0,0,0,2,0,2,2,1,1,0,1,4,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0
2,1,1,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,2,0,0,2,0,1,1,1,4,0,1,0,2,0,0,1,1,3,0,2,1,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,2,0,3,2,1,0,1,2,1,1,0,0,1,1,1,0,0,2,1,1,2,2,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,3,1,1,0,1,1,1,2,1,1,1,0,0,1,1,0,0,1,3,2,1,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,0,0
0,1,0,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,2,2,1,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,3,1,1,0,1,0,2,0,2,1,1,0,1,1,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,1,2,0,3,0,1,0,1,1,1,0,1,1,2,3,1,0,0,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,0,2,2,0
2,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,1,1,2,0,2,0,0,0,3,1,2,2,1,0,2,1,1,3,1,0
2,0,0,1,0,2,1,0,0,1,3,1,0,2,0,1,3,1,1,2,1,0,0,1,2,1,0,1,0,0,0,1,1,0,3,1,1,0,0,1,1,1,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,2,1,2,0,1,2,0,0,1,0,1,1,2,3,2,0,2,1,2,2,1,0,1,3,0,2,0,3,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,3,1,0,1,1,0,0,2,2,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,4,1,2,0,1,1,3,2,1,2,2,1,3,0,1,1,1,1,0,0,0
0,1,1,0,0,1,4,0,1,2,0,3,1,1,1,0,1,2,1,0,1,1,1,1,0,0,3,0,0,1,1,0,1,1,1,0,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,2,0,0,0,0,2,5,2,0,0,1,1,0,2,1,2,2,2,2,0,1,2,0,0,1,2,2,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,1,1,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,2,0,0,1,2,2,2,0,0,0,1,2,3,0,1,0,2,0,2,2,0,2,1,2,2,0,2,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,0,1,5,2,0,0,1,4,2,0,2,2,2,2,2,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,0,1,2,0,1,1,0,1,0,0,1,1,0,0,2,4,2,0,2,1,1,2,1,2,1,2,0,1,3,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,2,1,0,1,0,4,0
1,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,5,1,0,0,0,1,1,0,2,1,1,2,1,1,4,0,0,0,3,1,0,1,0,2,0,2,2,0,0,0,3,2,2,0,0,0,1,0,0,2,0
0,2,0,2,2,0,0,2,0,2,0,0,0,2,2,0,0,3,1,2,2,0,0,0,2,1,1,2,0,4,0,1,1,4,2,0,0,0,0,3,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,1,0
1,1,0,4,1,1,0,2,1,0,0,1,2,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,1,1,1,0,2,1,1,2,0,0
1,3,0,1,1,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,2,1,2,1,0,0,1,1,1,2,0,1,1,1,0,0,1,2,3,1,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,3,2,2,2,1,2,0,0,1,0,1,1,0,2,2,1,0,1,2,3,2,0,0,1,0,2,0,1,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,5,1,2,0,1,0,1,2,0,0,2,1,1,2,0,0,1,1,1,2,0,1,0,0,1,0,0,0,6,0,0,1,0
1,2,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,1,3,0,1,0,2,2,0,3,0,0,0,3,2,2,1,0,0,0,0,0,0,0,1,4,1,0,1,1,3,0,0,0,1,3,0,2,1,2,0
0,1,0,1,1,2,2,3,1,0,0,0,1,3,4,1,0,0,0,1,3,2,3,0,0,1,1,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,2,3,0,1,0
0,2,0,1,1,1,2,2,1,1,0,0,1,0,2,1,0,1,0,1,1,2,0,0,0,3,3,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,0,1,0,3,1,1,0,0
2,1,1,0,0,2,2,2,0,1,1,0,0,2,0,1,0,1,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,1,0,1,0,1,2,1,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,2,0,0,2,2,0,4,1,1,2,2,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,2,2,1,1,1,1,1,0
1,1,1,2,1,0,1,0,0,0,0,1,0,0,1,1,0,0,4,0,0,1,0,1,1,1,1,2,2,0,4,1,1,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,0,2,1,1,1,1,2,1,0,2,1,0,2,2,0,2,0,2,0,0,1,2,4,0,2,2,0,2,0,0,1,1,1,3,0,1,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,1,1,3,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,1,3,1,0,2,2,0,1,1,1,1,1,1,1,0,2,1,0,2,2,1,0,2,0
1,2,1,0,0,2,1,2,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,2,1,1,0,0,2,0,2,1,0,1,1,0,0,0,2,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,0,1,5,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,1,3,2,2,2,1,2,1,2,3,0,0,0,1,0,1,0,0,0,1,0
0,2,1,0,3,3,1,1,1,2,1,1,0,1,1,1,1,1,0,2,0,0,0,2,1,1,1,0,3,2,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,1,4,1,1,0,1,1,0,0,2,1,0
0,0,2,1,1,0,3,1,0,0,0,2,4,0,0,2,1,0,1,1,2,1,2,2,2,0,2,2,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,0,1,3,1,2,0,1,1,1,2,2,1,1,0,0,1,1,1,0,0,0,1,2,2,1,0,2,0,2,2,1,2,1,2,1,1,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,2,0,1,2,0,0,0,0,0,1,0,3,1,2,2,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,2,3,2,1,0,2,0,1,1,1,3,0
2,0,0,1,0,0,0,0,2,1,2,2,0,4,0,1,1,2,2,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,2,3,1,0
0,1,0,2,0,0,1,2,0,1,1,3,0,0,1,1,0,0,0,1,1,0,2,1,1,1,0,1,3,0,1,1,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,1,2,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,1,0,2,0,1,2,2,1,0,2,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
1,0,1,0,3,0,2,1,0,0,1,0,1,2,0,0,0,1,0,0,1,3,0,0,2,2,1,0,0,0,2,2,1,1,3,1,0,1,0,2,1,3,1,0,1,3,2,0,1,1,1,1,0,1,0,1,0
4,1,0,0,1,5,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,1,2,0,3,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,0,1,0
1,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,0,2,3,1,0,1,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,3,3,0,0
0,1,0,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,2,1,2,0,2,2,0,1,0,1,1,1,1,2,0,1,0,0,3,1,2,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,0,1,0
0,1,3,0,2,0,1,0,0,2,1,1,1,0,0,3,2,0,1,0,0,0,1,3,0,4,2,0,0,1,0,1,0,0,0,1,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,1,1,0,0,3,0
2,2,1,1,0,0,1,2,1,1,1,1,1,2,0,0,2,2,0,0,0,0,0,2,0,0,4,0,3,1,0,0,3,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,0,2,1,1,2,1,0,0,1,1,3,1,0,0,1,0,4,0,2,2,0,0,1,0,0,0,0,0,1,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,1,0
0,0,3,2,0,0,1,0,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,1,2,0,1,0,0,2,1,2,1,0,0,0,0,3,2,0,1,0,0,2,0,0
0,3,1,0,2,0,2,1,0,1,2,0,1,0,2,0,1,1,1,1,0,2,1,1,1,0,0,2,2,1,0,2,2,0,2,0,1,0,0,0,1,1,2,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,3,0,1,1,2,0,1,0,0,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,4,3,0,1,1,5,1,1,1,2,3,1,2,2,0,1,0,0,0,0
1,0,1,0,1,2,1,0,0,1,2,1,0,0,0,0,2,1,1,1,3,4,2,1,1,4,2,0,1,1,0,1,1,1,0,1,0,3,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,1,1,2,0,1,2,0,1,0,1,1,1,1,1,4,1,0,1,1,1,1,2,0,1,1,3,1,1,2,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,3,0,1,1,1,2,0,3,1,2,1,0,0,1,3,1,2,1,0,0,1,2,3,0,1,1,1,0,0,1,2,1,1,2,1,0,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,2,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,1,1,2,3,1,2,1,1,1,0,0,0,2,0,1,1,1,0,1,1,2,1,0
2,1,0,0,1,4,3,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,3,1,0,1,0,0
2,0,0,3,1,3,1,0,0,0,0,1,0,1,1,1,1,1,2,0,0,0,2,0,0,1,0,3,0,1,1,1,1,3,1,1,0,2,3,1,1,0,0,2,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,1,3,2,2,0,2,0,0,0,2,1,0,0,2,1,0,0,1,1,1,1,0,1,2,0,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,0,0,1,0,1,0,2,0,0,1,1,0,2,6,1,0,0,1,0,0,1,0,1,0,0,3,0,0,2,0,1,2,0,3,0,1,1,2,1,1,0,0,2,2,2,0,1,1,1,1,1,1,0,0
1,1,1,2,1,0,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,1,2,1,0,0,0,2,0,2,2,2,1,0,1,4,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,1,0
2,1,1,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,2,0,0,2,0,1,1,1,4,0,1,0,2,0,0,1,1,4,0,2,2,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,3,0,3,2,1,0,1,2,2,1,0,0,1,1,1,0,0,2,1,1,2,2,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,3,1,1,0,1,1,1,2,2,1,1,0,0,1,1,0,0,2,3,2,1,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,0,0
0,1,1,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,2,2,1,0,0,2,0,2,0,0,0,2,0,1,1,0,0,1,3,1,1,0,1,0,2,0,2,1,1,0,1,1,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,3,0,2,2,0,3,0,1,0,1,1,1,0,1,1,2,3,1,0,0,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,1,2,2,0
2,0,2,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,1,2,2,0,2,0,0,0,3,1,2,2,1,0,2,1,1,3,1,0
2,0,0,1,1,2,1,0,0,1,3,1,0,2,0,1,3,1,1,3,1,0,0,1,2,1,0,1,0,0,0,1,1,0,3,1,1,0,0,1,1,1,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,3,1,2,0,1,2,0,0,1,0,1,1,2,3,2,0,2,1,2,2,1,0,1,3,0,2,0,3,1,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,3,1,0,1,1,0,0,2,2,0,0,0,1,0,2,1,1,1,1,1,0,0,1,0,4,1,2,0,1,1,4,2,1,2,2,1,3,0,1,1,1,1,0,0,0
0,1,2,0,0,1,4,0,1,2,0,3,1,1,1,0,1,2,1,0,1,1,1,1,0,0,3,0,0,1,2,0,1,1,1,0,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,1,1,0,0,0
2,0,0,0,1,1,0,2,0,2,0,0,0,0,2,5,2,0,0,1,1,0,2,1,2,2,2,2,0,1,2,0,0,1,2,3,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,1,2,0
1,1,0,0,1,0,0,1,3,0,1,0,1,0,2,0,0,1,2,2,2,0,0,0,1,2,3,0,1,0,2,0,2,2,0,2,2,2,2,1,2,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,0,3,0,1,1,1,1,5,2,0,0,1,4,3,0,2,2,2,2,2,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,0,1,2,0,1,1,0,1,0,0,1,1,0,0,2,4,2,0,2,1,1,2,1,3,1,2,0,1,3,1,1,0,0,1,0,1,0,0,0,0,2,1,1,0,0,1,1,0,2,2,1,0,1,0,4,0
1,1,0,1,0,1,0,0,0,1,2,3,0,0,1,0,5,1,0,0,0,1,1,0,2,1,1,2,1,1,4,1,1,0,3,1,0,1,0,2,0,2,2,0,0,0,3,2,2,0,0,0,1,0,0,2,0
0,2,0,2,2,0,0,2,0,2,0,0,0,3,2,0,0,3,1,2,2,0,0,0,2,1,1,2,0,4,1,1,1,4,2,0,0,0,0,3,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,1,0
1,1,0,4,1,1,0,2,1,0,0,1,2,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,1,1,1,0,3,1,2,2,0,0
1,3,0,1,1,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,2,1,2,2,0,0,1,1,1,2,0,1,2,1,0,0,1,2,3,1,0,1,0,0,3,0,3,1,0,0,0
1,0,1,1,0,2,0,0,1,0,1,1,3,2,2,2,2,2,0,0,1,0,1,1,1,2,2,1,0,1,2,3,2,0,0,1,0,2,0,1,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,5,1,2,0,1,0,1,2,0,0,2,1,2,2,0,0,1,1,1,2,0,1,0,1,1,0,0,0,6,0,0,1,0
1,2,0,2,1,0,1,1,0,0,2,2,0,1,1,0,0,1,3,0,1,0,2,2,0,3,0,0,0,3,2,2,1,0,0,0,0,0,0,0,1,4,1,0,1,1,3,0,0,0,1,3,0,2,1,2,0
0,1,0,1,1,2,2,3,1,0,0,0,1,3,4,1,0,0,1,1,3,2,3,0,0,1,1,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,3,3,0,1,0
0,2,0,1,1,1,2,2,1,1,0,1,1,0,2,1,0,1,0,1,1,2,0,0,0,3,3,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,1,1,0,3,1,1,0,0
2,1,1,0,0,3,2,2,0,2,1,0,0,2,0,1,0,1,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,1,0,1,0,1,2,1,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,2,0,0,2,2,0,4,1,1,2,2,1,1,1,0,0,1,1,0,1,1,3,1,0,0,1,0,2,0,0,0,1,2,1,0,0,2,0,0,1,2,0,1,1,2,2,2,1,1,1,1,0
1,1,1,2,1,0,1,0,0,1,0,1,0,0,1,1,0,0,4,0,0,1,0,1,1,1,1,2,2,0,5,1,1,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,1,2,1,1,1,1,2,1,0,2,1,0,2,2,0,2,1,2,0,0,1,2,4,0,2,2,0,2,0,0,1,1,1,3,0,1,0,2,1,0,1,0,0,0,2,2,2,0,1,0,1,0
2,2,2,1,1,3,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,2,3,1,0,2,2,0,1,2,1,1,1,1,1,0,2,1,0,2,2,1,0,2,0
1,2,1,0,0,2,1,2,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,2,1,1,0,0,3,0,2,1,0,1,2,0,0,0,2,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,0,1,5,0,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,1,3,2,2,2,1,2,1,3,3,0,0,0,1,0,1,0,0,0,1,0
0,2,1,0,3,3,1,1,1,2,1,1,0,1,1,1,1,2,0,2,0,0,0,2,1,1,1,0,3,2,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,1,4,1,1,1,1,1,0,0,2,1,0
1,0,2,1,1,0,3,1,0,0,0,2,5,0,0,2,1,0,1,1,2,1,2,2,2,0,2,2,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,1,1,3,1,2,0,1,1,1,2,2,1,1,0,0,1,1,1,0,0,0,1,2,2,1,0,2,0,3,2,1,2,1,2,1,1,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,2,0,1,2,0,0,0,0,0,1,0,3,1,2,2,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,3,3,2,1,0,3,0,1,1,1,3,0
2,0,0,1,0,0,1,0,2,1,2,2,0,4,0,1,1,2,2,1,0,1,2,0,1,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,2,3,1,0
0,1,0,2,0,0,1,2,0,1,2,3,0,0,1,1,0,0,0,1,1,0,3,1,1,1,0,1,3,0,1,1,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
0,2,2,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,1,0,3,0,1,2,2,1,0,2,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
1,0,1,0,3,0,2,1,0,0,1,0,1,2,0,0,0,1,0,0,1,3,0,0,2,2,1,1,0,0,2,2,1,1,3,1,0,1,0,2,2,3,1,0,1,3,2,0,1,1,1,1,0,1,0,1,0
4,1,0,0,1,5,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,2,2,0,3,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,0,2,0
1,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,0,2,3,1,0,1,1,3,0,1,0,2,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,3,3,0,0
0,1,0,1,1,1,2,0,2,0,0,1,0,1,1,1,0,1,2,1,2,0,2,2,0,1,0,1,1,1,1,2,0,1,0,0,3,1,2,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,1,1,0
0,1,3,0,2,0,1,0,0,2,1,2,1,0,0,3,2,1,1,0,0,0,1,3,0,4,2,0,0,1,0,1,0,0,0,1,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,1,1,0,0,3,0
2,2,1,1,0,0,1,2,1,1,1,1,1,3,0,0,2,2,0,0,0,0,0,2,0,0,4,0,3,1,0,0,3,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,0,2,1,1,2,1,0,0,1,1,3,1,0,0,1,0,4,0,3,3,0,0,1,0,0,0,0,0,1,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,1,0
0,0,3,2,0,0,1,1,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,1,3,0,1,0,0,2,1,2,1,0,0,0,0,3,2,0,1,0,0,2,0,0
0,3,1,0,2,0,2,1,0,1,2,0,1,0,2,0,1,1,2,1,0,2,1,1,1,0,0,2,2,1,0,2,2,0,2,0,1,0,0,0,1,1,3,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,0,2,1,4,0,1,1,2,0,1,0,0,0,2,1,3,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,4,3,0,1,1,5,1,1,1,2,3,1,2,2,0,1,0,0,0,0
2,0,1,0,1,2,1,0,0,1,2,2,0,0,0,0,2,1,1,1,3,4,2,1,1,4,2,0,1,1,0,1,1,1,0,1,0,3,0,0,1,1,1,0,0,2,0,2,0,1,1,1,0,0,1,0,0
1,0,0,0,1,1,2,0,1,2,0,1,0,1,1,1,1,1,4,1,0,1,2,1,1,2,0,2,1,3,1,1,2,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,3,0,1,1,1,2,0,3,1,2,1,0,0,1,3,1,2,1,1,0,1,2,3,0,1,1,1,0,0,1,2,1,1,2,1,1,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0
0,1,0,1,1,1,4,2,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,1,0,1,1,2,3,1,2,1,1,1,1,0,0,2,0,1,1,1,0,1,1,2,1,0
2,1,0,0,1,4,3,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,0,0,1,1,0,0,0,0,1,1,2,1,1,2,0,3,1,0,1,0,0
2,0,0,3,1,3,1,0,1,0,0,1,0,1,1,1,1,1,2,0,0,0,2,0,0,1,0,4,0,1,1,1,1,3,1,1,0,2,3,1,1,0,0,2,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,1,3,2,2,1,2,0,0,0,2,1,0,0,2,1,0,0,1,1,1,1,0,1,2,1,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,1,0,1,0,1,0,2,0,0,1,1,0,2,6,1,0,0,1,0,0,1,0,1,0,0,3,0,0,2,0,1,2,0,3,0,1,1,3,1,1,0,0,2,2,2,0,1,1,1,1,1,1,0,0
1,1,1,2,1,1,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,2,2,1,0,0,0,2,0,2,2,2,1,0,1,4,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,1,0
2,1,1,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,3,0,0,2,0,1,1,1,4,0,1,0,2,0,0,1,1,4,0,2,2,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,4,0,3,2,1,0,1,2,2,1,0,0,1,1,1,0,0,3,1,1,2,2,0,1,2,1,1,1,2,1,0,1,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,3,1,1,0,1,1,1,3,2,1,1,0,0,1,1,0,0,2,3,3,1,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,0,0
0,1,1,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,3,2,1,0,0,2,0,2,0,0,0,2,0,1,1,0,0,1,4,1,1,0,1,0,2,0,2,1,1,0,1,1,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,2,1,0,0,3,0,2,2,0,3,0,1,0,1,1,1,0,1,1,2,3,1,0,0,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,1,2,3,0
2,0,2,0,3,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,1,2,2,0,2,0,0,0,3,1,2,2,1,0,2,1,2,3,1,0
2,0,0,1,1,2,3,0,0,1,3,1,0,2,0,1,3,1,1,3,1,0,0,1,2,1,0,1,0,0,0,1,1,0,3,1,1,0,0,1,1,1,0,3,0,2,2,1,0,2,1,1,0,2,0,1,0
0,3,3,1,2,0,1,2,0,0,1,0,1,1,2,3,2,0,2,1,2,2,1,0,1,3,0,2,0,3,1,2,0,1,0,1,0,1,0,1,0,0,2,0,1,0,1,0,1,0,0,2,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,3,1,0,1,1,0,0,2,3,0,0,0,1,0,2,1,1,1,1,1,0,0,1,0,4,1,2,0,1,1,4,2,1,3,2,1,3,0,1,1,1,1,0,0,0
0,1,2,0,0,1,4,0,1,2,0,3,1,1,1,0,1,2,1,0,1,1,1,1,1,0,3,0,0,1,2,0,1,1,1,1,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,1,1,0,0,0
2,0,0,1,1,1,0,2,0,2,0,0,0,0,2,5,2,0,0,2,1,0,2,1,2,2,2,2,0,1,2,0,0,1,2,3,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,1,2,0
2,1,0,0,1,0,0,1,3,0,1,0,1,0,2,0,0,1,2,2,2,0,0,0,1,2,4,0,1,0,2,0,2,2,0,2,2,2,2,1,2,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0
1,0,0,0,1,1,3,0,1,1,1,1,5,2,0,0,1,4,3,0,2,3,2,2,2,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,1,1,2,0,1,1,0,1,0,0,1,1,0,0,2,4,2,0,2,1,1,2,1,3,1,2,0,1,3,1,1,0,0,1,0,2,0,0,0,0,2,1,1,0,0,1,1,0,2,2,1,0,1,0,4,0
1,1,0,1,0,1,0,0,1,1,2,3,0,0,1,0,5,1,0,0,0,1,1,0,2,1,1,2,1,1,4,1,1,0,3,1,0,1,0,2,0,2,2,0,0,0,3,2,2,1,0,0,1,0,0,2,0
0,3,0,2,2,0,0,2,0,2,0,0,0,3,2,0,0,3,1,2,2,0,0,0,2,1,1,3,0,4,1,1,1,4,2,0,0,0,0,3,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,1,0
1,2,0,4,1,1,0,2,1,0,0,1,2,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,1,2,1,1,0,3,1,2,2,0,0
1,3,1,1,1,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,1,0,2,1,2,2,0,0,1,1,1,2,0,1,2,1,0,0,1,2,3,1,0,1,0,0,3,0,3,1,0,0,0
1,1,1,1,0,2,0,0,1,0,1,1,3,2,2,2,2,2,0,0,1,0,1,1,1,2,3,1,0,1,2,3,2,0,0,1,0,2,0,1,0,0,0,1,2,0,1,1,1,0,0,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,6,2,2,0,1,0,1,2,0,0,2,1,2,2,0,0,1,1,1,2,0,1,0,1,1,0,0,0,6,0,0,1,0
1,2,0,2,1,0,1,1,0,0,2,2,0,1,1,0,0,1,3,0,1,0,2,2,0,3,0,0,0,3,2,2,1,0,0,1,0,0,0,0,1,4,1,0,1,1,3,0,0,0,2,3,0,2,1,2,0
0,1,0,1,1,2,2,3,1,0,0,0,1,3,4,1,0,0,1,1,3,2,4,0,0,1,1,1,1,1,1,0,3,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,3,4,0,1,0
0,2,0,1,1,1,2,2,1,1,0,1,1,0,2,1,0,1,0,1,2,3,0,0,0,3,3,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,1,1,0,3,1,1,0,0
2,1,1,0,0,3,2,2,0,2,1,0,0,3,0,1,0,1,0,0,2,3,1,0,0,0,1,0,0,1,1,0,3,2,0,1,0,1,2,1,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,2,0,0,2,2,0,4,1,1,2,2,1,1,1,0,0,1,1,0,1,2,3,1,0,0,1,0,3,0,0,0,1,2,1,0,0,2,0,0,1,2,0,1,1,2,2,2,1,1,1,1,0
1,1,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,4,0,0,1,0,1,1,2,1,2,2,0,5,1,1,2,2,1,1,0,2,0,1,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,1,2,1,1,1,1,2,1,0,2,1,0,2,2,0,2,1,2,0,0,1,2,5,0,2,2,0,2,0,0,1,1,1,3,0,1,0,2,1,0,1,0,0,0,3,2,2,0,1,0,1,0
2,2,2,1,1,3,0,1,0,0,0,0,0,0,2,2,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,2,3,1,0,2,2,0,1,2,1,1,1,1,1,0,2,1,0,2,2,1,1,2,0
1,2,1,0,0,2,1,2,0,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,2,1,1,0,0,3,0,2,1,0,1,2,0,1,0,3,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,0,1,5,0,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,1,3,2,2,2,1,2,1,3,3,0,0,0,2,0,1,1,0,0,1,0
0,2,1,0,3,3,1,1,1,2,1,1,0,2,1,1,1,2,0,2,0,0,0,2,1,1,1,1,3,2,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,1,4,1,1,1,1,1,0,0,2,1,0
1,0,2,2,1,0,3,1,0,0,0,2,5,0,0,2,1,0,1,1,2,1,2,2,2,0,2,2,1,1,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,1,1,3,1,2,0,1,1,2,2,2,1,1,0,0,1,1,1,0,0,0,1,2,2,1,0,2,0,3,2,1,2,1,2,1,1,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,1,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,2,0,1,2,0,0,0,0,0,1,0,4,1,2,3,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,3,3,2,1,0,3,0,1,1,1,3,0
2,0,0,1,0,0,1,0,2,1,2,2,0,4,0,1,1,2,2,1,0,1,2,0,1,1,2,1,1,0,0,1,1,0,0,1,1,2,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,2,3,1,0
0,1,0,2,0,0,1,2,0,1,2,3,0,0,1,1,0,0,0,2,1,0,3,1,1,1,0,1,3,0,1,2,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
1,2,2,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,1,0,3,0,1,2,2,1,1,2,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
1,0,1,0,3,0,2,1,0,0,1,0,1,2,0,0,0,1,0,0,1,3,0,0,3,2,1,1,0,0,2,2,1,1,3,1,0,1,0,2,2,3,1,0,1,3,2,0,1,1,2,1,0,1,0,1,0
4,1,0,0,1,5,1,0,3,1,0,1,1,0,0,2,2,1,0,0,2,1,2,0,0,2,2,0,3,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,2,2,0
2,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,0,2,3,1,0,1,1,3,0,1,0,2,0,0,2,0,1,1,1,0,0,1,0,3,0,2,0,0,2,0,4,3,0,0
0,1,0,1,1,1,2,0,2,0,0,1,0,1,1,1,0,1,2,1,2,0,2,2,0,2,0,1,1,1,1,2,0,1,0,0,3,2,2,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,1,1,0
0,1,3,0,2,0,1,0,0,2,1,2,1,0,0,3,2,1,2,0,0,0,1,3,0,4,2,0,0,1,0,1,1,0,0,1,1,4,1,1,0,1,0,2,0,1,1,0,1,1,2,1,1,0,0,3,0
2,2,1,1,0,0,1,2,1,1,1,1,1,3,0,0,3,3,0,0,0,0,0,2,0,0,4,0,3,1,0,0,3,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,1,2,1,1,2,1,0,0,1,1,3,1,0,0,1,0,4,1,3,3,0,0,1,0,0,0,0,0,1,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,1,0
0,1,3,2,0,0,1,1,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,1,3,0,1,0,0,2,1,2,1,0,0,0,0,3,2,0,1,0,0,3,0,0
0,3,1,0,3,0,2,1,0,1,2,0,1,0,2,0,1,1,2,1,0,2,1,1,1,0,0,2,3,1,0,2,2,0,2,0,1,0,0,0,1,1,3,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,1,2,1,4,0,1,1,2,0,1,0,0,0,2,1,3,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,4,3,0,1,1,5,1,1,1,2,3,1,2,2,0,1,0,0,0,0
2,0,1,0,1,2,1,0,0,1,2,2,0,0,0,0,2,1,1,1,3,4,2,1,1,4,2,0,1,1,0,1,1,1,0,1,0,3,0,1,1,1,1,0,0,2,0,2,0,2,1,1,0,0,1,0,0
1,0,1,0,1,1,2,0,1,2,0,1,0,1,1,1,1,1,4,1,0,1,2,1,1,2,0,2,1,3,1,1,2,1,0,0,1,2,0,1,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,3,0,1,1,1,2,0,3,1,2,1,0,0,1,3,1,2,1,1,0,1,2,3,0,1,1,1,0,0,2,2,1,1,2,1,1,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,1,0,0,0,0
0,1,0,1,2,2,4,2,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,1,0,1,1,2,3,1,2,1,1,1,1,0,0,2,0,1,1,1,0,1,1,2,1,0
3,1,0,0,1,4,3,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,0,0,1,1,0,0,0,0,1,1,2,1,2,2,0,3,1,0,1,0,0
2,0,0,3,1,3,1,0,1,0,0,1,0,1,1,1,1,2,2,0,0,0,2,0,0,1,0,4,0,1,1,1,1,3,1,1,0,2,3,2,1,0,0,2,0,0,2,2,2,1,1,0,1,1,0,0,0
0,2,1,0,0,0,0,2,1,3,2,2,1,2,0,1,0,2,1,0,1,2,1,0,0,1,1,1,1,0,1,2,1,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,1,0,1,0,1,0,2,0,0,1,1,0,2,6,1,0,0,1,0,0,1,0,1,0,0,3,0,0,2,0,1,2,0,3,0,1,2,3,1,2,0,0,2,2,2,0,1,1,1,1,1,1,0,0
1,1,2,2,1,1,1,0,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,2,2,1,0,0,0,2,0,2,2,2,1,0,1,4,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0
2,1,1,2,2,0,1,2,2,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,3,0,0,2,0,1,2,1,4,0,2,0,2,0,0,1,1,4,0,2,2,0,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,4,0,3,2,1,0,1,2,2,1,0,0,1,1,1,0,0,3,2,1,2,2,0,1,2,1,1,1,2,1,0,2,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,3,1,1,0,1,1,1,3,2,1,1,0,0,1,1,0,0,2,3,3,1,2,0,0,1,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,1,0
0,1,1,0,0,2,1,1,1,2,0,1,2,1,0,1,0,2,0,0,1,3,3,1,3,2,1,0,0,2,0,2,0,0,0,2,0,1,1,0,0,2,4,1,1,0,1,0,2,0,2,1,1,0,1,2,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,2,1,0,0,3,0,2,2,0,3,0,1,0,1,1,1,1,1,1,2,3,1,0,1,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,1,2,3,0
3,0,2,0,3,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,2,2,2,0,2,0,0,0,3,1,2,2,1,0,2,1,2,3,1,0
2,0,0,1,1,2,3,0,0,1,3,1,0,2,0,1,3,1,1,3,1,0,0,1,2,1,0,1,0,0,0,1,1,0,3,1,1,0,0,1,1,1,0,3,0,3,2,1,0,2,2,1,0,2,0,1,0
0,3,3,1,2,0,1,2,0,0,1,0,1,1,3,3,2,0,2,1,2,2,1,0,1,3,0,2,0,3,1,2,0,1,0,1,0,1,0,2,0,0,2,0,1,0,1,0,1,0,0,2,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,3,1,0,2,1,0,0,2,3,0,0,0,1,0,2,1,1,1,1,1,0,0,1,0,4,1,2,0,1,1,4,3,1,3,2,1,3,0,1,1,1,1,0,0,0
0,1,2,0,0,1,4,0,1,2,0,3,1,1,1,0,1,2,1,0,2,1,1,1,1,0,3,0,0,1,2,0,1,1,1,1,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,2,1,0,0,0
2,0,0,1,1,1,0,2,0,2,0,0,0,0,2,5,2,0,0,2,1,0,2,1,2,2,2,2,0,1,3,0,0,1,2,3,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,2,2,0
2,1,0,0,1,0,0,1,3,0,1,0,1,0,2,0,0,1,2,2,2,0,0,0,1,2,4,0,1,0,2,0,2,2,0,2,2,2,2,1,2,2,1,2,1,1,1,0,0,1,0,0,1,1,2,1,0
1,0,0,1,1,1,3,0,1,1,1,1,5,2,0,0,1,4,3,0,2,3,2,2,2,1,0,1,1,0,1,0,1,0,2,0,0,1,0,0,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,1,1,2,0,1,1,0,1,0,0,1,1,0,1,2,4,2,0,2,1,1,2,1,3,1,2,0,1,3,1,1,0,0,1,0,2,0,0,0,0,2,1,1,0,0,1,1,0,2,2,1,0,1,1,4,0
1,1,0,1,1,1,0,0,1,1,2,3,0,0,1,0,5,1,0,0,0,1,1,0,2,1,1,2,1,1,4,1,1,0,3,1,0,1,0,2,0,2,2,0,0,0,3,2,3,1,0,0,1,0,0,2,0
0,3,0,2,2,0,0,2,0,2,0,0,0,3,2,0,0,3,1,2,2,1,0,0,2,1,1,3,1,4,1,1,1,4,2,0,0,0,0,3,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,1,0
1,2,0,4,1,1,0,2,1,0,0,1,2,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,0,1,2,2,0,1,3,1,3,2,1,1,0,3,1,2,2,0,0
1,3,1,1,1,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,1,0,2,1,2,2,1,0,1,1,1,2,0,1,2,1,0,0,1,2,3,1,0,2,0,0,3,0,3,1,0,0,0
1,1,1,1,0,2,0,0,1,0,1,1,3,2,2,2,2,2,0,0,1,0,1,1,1,2,3,1,0,1,2,3,2,0,0,1,0,2,0,1,0,0,0,1,2,0,2,1,1,0,1,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,1,2,0,2,2,2,2,0,0,7,2,2,0,1,0,1,2,0,0,2,1,2,2,1,0,1,1,1,2,0,1,0,1,1,0,0,0,6,0,0,1,0
1,2,1,2,1,0,1,1,0,0,2,2,0,1,1,0,0,1,3,0,1,0,2,2,0,3,0,0,0,3,3,2,1,0,0,1,0,0,0,0,1,4,1,0,1,1,3,0,0,0,2,3,0,2,1,2,0
0,1,0,1,1,2,2,3,1,0,0,0,1,3,4,1,0,0,1,1,3,2,4,0,0,1,1,1,1,1,1,0,4,2,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,2,3,4,0,1,0
0,2,0,1,1,1,2,2,1,1,0,1,1,0,2,1,0,1,0,1,2,5,0,0,0,3,3,0,0,0,1,2,2,0,0,0,2,1,0,2,2,3,0,2,0,0,1,0,2,1,1,0,3,1,1,0,0
2,1,1,0,0,3,2,2,0,2,2,0,0,3,0,1,0,1,0,0,2,3,1,0,0,0,1,0,0,1,1,1,3,2,0,1,0,1,2,1,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,2,0,0,2,2,0,4,1,1,2,2,1,1,1,0,0,1,1,0,1,2,3,1,0,1,1,0,3,0,0,0,1,2,1,1,0,2,0,0,1,2,0,1,1,2,2,2,1,1,1,1,0
2,1,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,4,0,0,1,0,1,1,2,1,2,2,0,5,1,1,2,2,1,1,0,2,0,2,1,1,1,0,0,1,1,0,0,3,2,1,1,1,1,0
0,0,0,0,0,1,2,1,2,1,1,2,1,0,2,1,0,2,2,0,2,1,2,0,0,1,2,5,0,2,2,0,2,0,0,1,1,1,3,0,1,1,2,1,0,1,0,0,0,3,2,2,0,1,0,1,0
2,2,2,1,1,3,1,1,0,1,0,0,0,0,2,2,2,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,2,3,1,0,2,2,0,1,2,1,1,1,1,1,0,2,1,0,2,2,1,1,2,0
1,2,1,0,0,2,1,2,1,0,0,0,1,3,0,0,1,0,1,0,0,3,1,0,0,1,4,1,2,1,1,0,0,3,0,2,1,0,1,2,0,1,0,4,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,0,1,5,0,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,1,3,2,2,2,1,3,1,3,3,0,0,0,2,0,1,1,0,1,1,0
0,2,1,0,3,3,1,1,1,2,1,1,0,2,1,1,1,2,0,2,0,0,1,2,1,1,1,1,3,2,0,3,0,0,1,1,1,1,0,0,1,0,0,0,0,1,4,1,1,1,1,1,0,0,2,1,0
1,0,2,2,1,0,3,1,0,0,0,2,5,0,0,2,1,0,1,1,2,1,2,2,2,0,2,2,2,1,0,0,1,0,0,2,1,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,1,1,3,1,2,0,1,1,2,2,3,1,1,0,0,1,1,1,0,0,0,1,2,2,1,0,2,0,3,2,1,2,1,2,1,2,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,1,0
2,0,0,1,0,0,2,0,1,2,1,1,2,0,1,2,0,1,2,0,0,0,0,0,1,0,4,2,2,3,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,3,3,2,1,0,4,0,1,1,1,3,0
2,0,0,1,0,0,1,0,2,1,2,2,0,4,0,1,1,3,2,1,0,1,2,0,1,1,2,1,1,0,0,1,1,0,0,1,2,2,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,2,3,1,0
0,1,1,2,0,0,1,2,1,1,2,3,0,0,1,1,0,0,0,2,1,0,3,1,1,1,0,1,3,0,1,2,1,0,1,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
1,2,2,0,1,2,0,2,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,1,0,3,1,1,2,2,1,1,2,2,1,2,1,0,2,0,0,2,0,1,1,1,0,1,1,2,1,0
1,0,1,0,3,0,2,1,0,0,1,0,1,2,0,0,0,1,0,0,1,3,0,0,3,2,1,1,0,0,2,2,1,2,3,1,0,1,0,2,2,3,1,0,1,3,2,1,1,1,2,1,0,1,0,1,0
4,1,0,0,1,5,1,0,3,1,0,1,1,0,0,2,2,1,1,0,2,1,2,0,0,2,2,0,3,2,1,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,2,2,0
2,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,1,2,3,1,0,1,1,3,0,1,0,2,0,0,2,0,1,1,1,0,0,1,0,3,0,3,0,0,2,0,4,3,0,0
0,1,0,1,1,1,2,0,2,0,0,1,0,1,2,1,0,2,2,1,2,0,2,2,0,2,0,1,1,1,1,2,0,1,0,0,3,2,2,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,1,1,0
0,1,3,0,2,0,1,0,0,2,1,2,1,0,0,3,2,1,2,0,1,0,1,3,0,4,2,0,0,1,0,1,1,0,0,1,1,4,1,1,0,1,1,2,0,1,1,0,1,1,2,1,1,0,0,3,0
2,2,1,1,0,0,1,2,1,1,1,1,1,3,0,0,3,3,0,0,0,0,0,2,0,0,4,0,3,1,0,1,3,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,1,2,1,1,2,2,0,0,1,1,3,1,0,0,1,0,4,1,3,3,0,0,1,0,0,1,0,0,1,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,1,0
0,2,3,2,0,0,1,1,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,1,3,0,1,0,1,2,1,2,1,0,0,0,0,3,2,0,1,0,0,3,0,0
0,3,1,0,3,0,2,1,0,1,2,0,1,0,2,0,1,1,3,1,0,2,1,1,1,1,0,2,3,1,0,2,2,0,2,0,1,0,0,0,1,1,3,1,1,1,0,1,1,2,1,0,0,3,0,1,0
1,1,0,1,1,1,2,1,4,0,1,1,2,0,2,0,0,0,2,1,3,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,4,3,1,1,1,5,1,1,1,2,3,1,2,2,0,1,0,0,0,0
2,0,1,0,1,2,1,0,0,1,2,2,0,0,0,0,2,1,1,1,3,4,3,1,1,4,2,0,1,1,0,1,1,2,0,1,0,3,0,1,1,1,1,0,0,2,0,2,0,2,1,1,0,0,1,0,0
1,0,1,0,1,1,2,0,1,2,0,1,0,1,1,2,2,1,4,1,0,1,2,1,1,2,0,2,1,3,1,1,2,1,0,0,1,2,0,1,0,1,0,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,3,0,1,2,1,2,0,3,1,2,1,0,0,1,3,1,2,1,1,0,1,2,3,0,1,1,1,0,0,2,2,1,1,3,1,1,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,1,0,0,0,0
0,1,0,1,2,2,4,2,4,3,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,1,0,1,1,2,3,1,2,1,2,1,2,0,0,2,0,1,1,1,0,1,1,2,1,0
3,1,0,0,1,4,3,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,0,0,1,1,0,0,0,0,1,1,2,1,2,2,1,4,1,0,1,0,0
2,0,0,3,1,3,1,0,1,0,0,1,0,1,1,1,1,2,2,0,0,0,2,0,0,1,0,4,0,1,1,1,1,3,1,1,0,2,3,2,1,0,0,2,0,0,2,2,2,1,2,1,1,1,0,0,0
0,2,1,0,0,0,0,2,2,3,2,2,1,3,0,1,0,2,1,0,1,2,1,0,0,1,1,1,1,0,1,2,1,1,0,0,2,1,1,3,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,1,0,1,0,1,0,2,0,0,1,1,0,2,6,1,0,0,1,0,0,2,0,1,0,0,3,0,0,2,0,2,2,0,3,0,1,2,3,1,2,0,0,2,2,2,0,1,1,1,1,1,1,0,0
1,1,2,2,2,1,1,1,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,2,2,1,0,0,0,2,0,2,2,2,1,0,1,4,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0
2,1,1,2,3,0,1,2,2,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,3,0,0,2,0,1,2,1,4,0,2,0,2,0,0,1,1,4,0,2,2,1,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,4,0,4,2,1,0,1,2,2,1,0,0,1,1,1,0,0,3,2,1,2,2,0,1,2,1,1,2,2,1,0,2,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,4,1,1,0,1,1,1,3,2,1,1,0,0,2,1,0,0,2,3,3,1,2,0,0,1,0,0,2,1,1,1,0,1,1,0,0,0,2,1,1,1,1,0,3,1,0
0,1,1,0,0,2,1,1,1,2,0,1,2,1,0,2,0,2,0,0,1,3,3,1,4,2,1,0,0,2,0,2,0,0,0,2,0,1,1,0,0,2,4,1,1,0,1,0,2,0,2,1,1,0,1,2,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,2,1,1,0,3,0,2,2,0,3,0,1,1,1,1,1,1,1,1,2,3,1,0,1,0,0,0,1,0,1,1,5,1,1,0,0,2,2,0,1,2,3,0
3,0,2,0,3,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,0,0,3,2,1,2,3,2,2,2,0,2,0,0,0,3,1,2,2,1,0,2,1,2,3,1,0
2,0,0,1,2,2,3,0,0,1,3,1,0,2,0,1,3,1,1,3,1,0,0,1,2,2,0,1,0,0,0,1,1,0,3,1,1,0,0,1,1,1,0,3,0,3,2,1,0,2,2,1,0,2,0,1,0
0,3,3,1,2,0,1,2,0,0,1,0,1,1,4,3,2,0,2,1,2,2,1,0,1,3,0,2,0,3,1,2,0,1,0,1,0,1,0,2,0,0,2,0,1,0,1,0,1,0,0,3,0,0,2,1,0
1,0,2,0,0,0,0,1,0,0,3,0,3,1,0,2,1,0,0,2,3,0,0,0,1,0,2,1,1,1,1,1,1,0,1,0,4,1,2,0,1,1,4,3,1,4,2,1,3,0,1,1,1,1,0,0,0
0,1,2,0,0,1,5,0,1,3,0,3,1,1,1,0,1,2,1,0,2,1,1,1,1,0,3,0,0,1,2,0,1,1,1,1,2,0,4,2,1,1,0,0,0,1,1,3,1,1,0,1,2,1,0,0,0
2,0,0,2,1,1,0,2,0,2,0,0,0,0,2,5,2,0,0,2,1,0,2,1,2,2,2,2,0,1,3,0,0,1,2,4,1,0,0,1,0,0,0,2,2,1,1,1,0,0,2,0,0,1,2,2,0
2,1,0,0,1,0,0,1,3,0,1,0,1,1,2,0,0,1,2,2,2,0,1,0,1,2,4,0,1,0,2,0,2,2,0,2,2,2,2,1,2,2,1,2,1,1,1,0,0,1,0,0,1,1,2,1,0
1,0,0,1,1,1,3,0,1,1,1,1,5,2,0,0,1,4,3,0,2,3,2,2,2,1,0,1,1,0,1,0,2,0,2,0,0,1,0,1,4,0,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0
1,1,1,2,0,1,1,0,1,0,0,1,2,0,1,2,4,2,0,2,1,1,2,1,3,1,2,0,1,3,1,1,0,0,2,0,2,0,0,0,0,2,1,1,0,0,1,1,0,2,2,1,0,1,1,4,0
1,1,0,1,1,1,0,0,1,1,2,3,0,0,1,0,5,1,0,0,0,1,1,1,2,1,1,2,1,1,4,1,1,1,3,1,0,1,0,2,0,2,2,0,0,0,3,2,3,1,0,0,1,0,0,2,0
0,3,0,2,2,0,0,2,0,2,0,0,0,3,3,0,0,3,1,2,2,1,1,0,2,1,1,3,1,4,1,1,1,4,2,0,0,0,0,3,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,1,0
1,2,0,4,1,1,0,2,1,0,0,1,2,2,0,0,0,0,2,2,0,2,0,0,0,1,2,1,0,0,2,1,1,1,0,1,0,0,1,2,2,2,0,1,3,1,3,2,1,1,0,3,1,2,2,0,0
1,3,1,1,1,0,1,0,2,1,2,1,0,1,1,0,0,0,1,2,1,2,1,1,1,0,2,1,2,2,1,0,1,1,1,2,1,1,2,1,0,1,1,2,3,1,0,2,0,0,3,0,3,1,0,0,0
2,1,1,1,0,2,0,0,1,0,1,1,3,2,2,2,2,2,0,0,1,0,1,1,1,2,3,1,0,1,2,3,2,0,0,1,1,2,0,1,0,0,0,1,2,0,2,1,1,0,1,2,0,0,2,2,0
1,0,0,0,0,3,0,0,2,0,0,0,1,0,2,2,2,0,2,2,2,2,0,1,7,2,2,0,1,0,1,2,0,0,2,1,2,2,1,0,1,1,1,2,0,1,0,1,1,0,0,0,6,0,0,1,0
1,2,1,2,1,0,1,1,0,0,2,2,0,1,1,0,0,1,3,0,1,0,2,2,0,4,0,0,0,3,3,2,1,0,0,1,0,0,0,0,1,4,1,0,1,1,3,0,0,0,2,3,0,2,2,2,0
0,1,0,1,1,2,2,3,1,0,0,0,1,3,4,1,0,0,1,1,3,2,4,0,0,1,1,1,1,1,1,0,4,2,1,0,0,0,3,0,1,1,0,0,0,0,0,0,0,1,0,2,3,4,0,1,0
0,2,0,1,1,1,2,2,1,1,0,1,1,0,2,1,0,1,0,1,2,5,0,0,0,3,3,0,0,0,2,2,2,0,0,0,2,1,0,2,2,3,0,2,0,1,1,0,2,1,1,0,3,1,1,0,0
2,1,1,0,0,3,2,2,0,2,2,0,0,3,0,1,0,1,0,0,2,3,2,0,0,0,1,0,0,2,1,1,3,2,0,1,0,1,2,1,1,2,0,0,2,1,1,1,1,3,1,0,2,0,3,0,0
1,1,1,0,0,2,0,0,2,2,0,4,1,1,2,2,1,1,1,0,0,1,1,0,1,2,3,1,0,1,1,0,3,0,0,0,1,2,1,1,0,2,1,0,1,2,0,1,2,2,2,2,1,1,1,1,0
2,1,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,4,0,0,1,0,1,1,2,1,2,2,0,5,1,1,2,2,1,1,0,2,1,2,1,1,1,0,0,1,1,0,0,4,2,1,1,1,1,0
0,0,0,0,0,1,2,1,2,1,1,2,1,0,2,1,0,2,2,0,2,1,2,0,0,1,2,5,1,3,2,0,2,0,0,1,1,1,3,0,1,1,2,1,0,1,0,0,0,3,2,2,0,1,0,1,0
2,2,2,1,1,3,1,1,0,1,0,0,0,0,2,2,3,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,2,3,1,0,2,2,1,1,2,1,1,1,1,1,0,2,1,0,2,2,1,1,2,0
1,2,1,0,0,2,1,2,1,0,0,0,2,3,0,0,2,0,1,0,0,3,1,0,0,1,4,1,2,1,1,0,0,3,0,2,1,0,1,2,0,1,0,4,2,1,1,1,0,2,0,1,3,1,0,2,0
1,0,1,0,1,1,1,1,5,0,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,1,1,0,2,1,3,0,1,1,1,1,3,2,2,2,1,3,1,3,3,1,0,0,2,0,1,1,0,1,1,0
0,2,1,0,3,3,1,1,1,2,1,1,1,2,1,1,1,2,0,2,0,0,1,2,1,1,1,1,3,2,0,3,0,0,1,1,1,2,0,0,1,0,0,0,0,1,4,1,1,1,1,1,0,0,2,1,0
1,0,2,2,1,0,3,1,0,0,1,2,5,0,0,2,1,0,1,1,2,1,2,2,3,0,2,2,2,1,0,0,1,0,0,2,1,2,0,0,0,1,0,0,0,0,2,2,0,2,0,1,2,1,1,2,0
0,2,1,0,1,1,3,1,2,0,1,1,2,3,3,1,1,0,0,1,1,1,0,1,0,1,2,2,1,0,2,0,3,2,1,2,1,2,1,2,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,1,0
2,0,0,1,0,0,2,1,1,2,1,1,2,0,1,2,0,2,2,0,0,0,0,0,1,0,4,2,2,3,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,3,3,2,1,0,4,0,1,1,1,3,0
2,0,0,1,0,0,1,0,2,1,2,3,0,4,0,1,1,3,2,1,0,1,2,0,1,1,2,1,1,0,0,1,2,0,0,1,2,2,0,2,1,0,1,0,1,0,1,2,0,2,1,1,1,2,3,1,0
0,1,1,2,0,0,1,2,1,1,2,3,0,0,1,1,0,0,0,3,1,0,3,1,1,1,0,1,3,0,1,2,1,0,2,3,3,2,1,2,1,2,3,1,0,2,0,1,0,1,0,1,0,0,0,1,0
1,2,2,0,1,2,0,3,1,1,1,3,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,1,0,3,1,1,2,2,1,1,2,2,1,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,1,0
1,0,1,0,3,0,2,1,0,1,1,0,1,2,0,0,0,1,0,0,1,3,0,0,3,2,1,1,1,0,2,2,1,2,3,1,0,1,0,2,2,3,1,0,1,3,2,1,1,1,2,1,0,1,0,1,0
4,1,0,0,1,5,1,0,3,1,0,1,1,0,0,2,2,1,1,0,2,1,2,0,1,2,2,0,3,2,1,2,0,2,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,3,1,0,2,2,0
2,0,0,0,1,0,2,1,1,1,2,1,1,2,2,1,0,0,1,1,1,2,0,1,2,3,1,1,1,1,3,0,2,0,2,0,0,2,0,1,1,1,0,0,1,0,3,0,3,0,0,2,0,4,3,0,0
0,1,0,1,1,1,2,0,2,0,0,1,0,1,2,1,0,2,2,1,2,0,2,2,0,3,0,1,1,1,1,2,0,1,0,0,3,2,2,1,0,1,1,3,3,1,0,1,0,2,1,1,0,1,2,1,0
0,1,3,0,2,0,1,0,0,2,1,2,1,0,0,4,2,1,2,0,1,0,1,3,0,4,2,0,0,1,0,1,2,0,0,1,1,4,1,1,0,1,1,2,0,1,1,0,1,1,2,1,1,0,0,3,0
2,3,1,1,0,0,1,2,1,1,1,1,1,3,0,0,3,3,0,0,0,0,0,2,0,0,4,0,3,1,0,1,3,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,1,0,3,2,3,1,2,0,0
3,2,0,0,0,0,0,2,1,2,0,1,2,1,1,2,2,0,0,2,1,3,1,0,0,1,0,4,1,3,3,0,0,1,0,0,1,0,0,2,0,1,1,1,5,1,1,0,2,1,0,0,4,0,0,1,0
0,2,3,2,0,0,1,1,0,1,2,1,2,1,2,1,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,1,2,1,3,0,1,0,1,2,1,2,1,1,0,1,0,3,2,0,1,0,0,3,0,0
0,3,1,0,3,0,2,1,0,1,2,0,1,0,2,0,1,1,3,1,0,3,1,1,1,1,0,2,3,1,0,2,2,0,2,0,1,0,0,0,1,1,3,1,1,1,0,1,1,2,1,0,0,4,0,1,0
1,1,0,1,1,1,2,1,4,0,1,1,2,0,2,0,0,0,2,1,3,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,4,3,1,1,1,5,1,1,1,2,3,1,2,2,0,1,0,0,0,0
2,0,1,0,1,2,1,0,0,2,2,2,0,0,0,0,2,1,1,1,3,4,3,1,1,4,2,0,1,1,0,1,1,2,0,1,0,3,0,1,1,1,1,0,0,2,0,2,0,2,1,1,0,1,1,0,0
1,0,1,0,1,1,2,1,1,2,0,1,0,1,1,2,2,1,4,1,0,1,2,1,1,2,0,2,1,3,1,1,2,1,0,0,1,2,0,1,0,1,1,0,2,0,0,1,1,0,2,0,2,1,2,2,0
2,4,0,1,2,1,2,0,3,1,2,1,0,0,2,3,1,2,1,1,0,1,2,3,0,1,1,1,0,0,2,2,1,1,3,1,1,1,2,0,0,0,0,1,1,0,0,0,2,1,2,0,1,0,0,0,0
0,1,0,1,2,2,4,2,4,3,0,1,1,1,0,0,1,0,0,0,1,1,2,1,2,0,0,1,0,1,1,0,1,0,1,1,2,3,1,2,1,2,1,2,0,0,2,0,1,1,1,0,1,1,2,1,0
3,1,0,0,1,5,3,0,1,0,1,0,1,0,0,1,2,0,1,2,0,0,2,0,2,1,2,2,1,2,0,2,1,3,0,1,1,0,1,1,0,0,0,0,1,1,2,1,2,2,1,4,1,0,1,0,0
2,0,0,3,1,3,1,0,1,0,0,1,0,2,1,1,1,2,2,0,0,0,2,0,0,1,0,4,0,1,1,1,1,3,1,1,0,2,3,2,1,1,0,2,0,0,2,2,2,1,2,1,1,1,0,0,0
0,2,1,0,0,0,0,2,2,3,2,2,1,3,0,1,0,3,1,0,1,2,1,0,0,1,1,1,1,0,1,2,1,1,0,0,2,1,1,4,0,0,1,0,2,1,1,1,1,0,2,2,2,2,0,1,0
2,2,1,1,0,1,0,1,0,2,1,0,1,1,0,2,6,1,0,0,1,0,0,2,0,1,0,0,3,0,0,2,0,2,2,0,3,0,1,2,3,1,2,0,0,2,2,2,0,1,1,1,1,2,1,0,0
1,1,2,2,2,1,1,1,2,1,2,1,2,2,1,1,1,0,1,0,2,1,1,1,2,2,1,0,1,0,2,0,2,2,3,1,0,1,4,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0
2,1,1,2,3,0,1,2,2,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,3,0,0,2,0,2,2,1,4,0,2,0,2,0,0,2,1,4,0,2,2,1,0,1,0,1,2,2,1,0
1,0,1,0,0,0,2,1,0,1,0,1,4,0,4,2,1,0,1,2,2,1,0,0,1,1,1,0,0,3,2,1,2,2,0,1,2,2,2,2,2,1,0,2,1,3,3,0,0,1,0,0,0,1,0,0,0
2,0,0,0,0,1,0,2,2,2,1,4,1,1,0,1,2,1,3,2,1,1,0,0,2,1,0,0,2,3,3,1,2,0,0,1,0,0,2,1,1,1,0,2,1,0,0,0,2,1,1,1,1,0,3,1,0
0,1,1,0,0,2,1,2,1,2,0,1,2,1,0,2,0,2,1,0,1,3,3,1,4,2,1,0,0,2,0,2,0,0,0,2,0,1,1,0,0,2,4,1,1,0,1,0,2,0,2,1,1,0,1,2,0
1,1,1,1,1,1,0,0,0,1,0,0,1,1,2,1,1,0,3,0,2,2,0,3,0,1,1,1,1,1,1,1,2,2,3,1,0,1,0,0,0,1,0,1,1,5,1,1,0,0,2,3,0,1,2,3,0
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
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
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
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0
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
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
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1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,3,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,0,0,3,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,3,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,3,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,3,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,2,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,0,0,3,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,3,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,2,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,3,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,1,2,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,2,2,0,1,0,3,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,4,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,3,0,0,0,1,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,1,1,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,2,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,1,0,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,0,0,3,0,1,1,1,1,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,3,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,2,1,0,0,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,1,2,0,3,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,2,1,0,2,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,3,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,3,0,0,0,1,2,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,2,0,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,3,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,2,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,1,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,1,2,2,0,1,0,3,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,4,0,0,1,0,2,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,3,0,0,0,1,2,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,1,0,1,2,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,1,1,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,2,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,2,1,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,0,0,0,3,0,1,1,1,1,0,0,0,0,1,3,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,3,0,0,1,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,3,2,0,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,2,1,0,0,0,1,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,1,2,0,3,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,1,1,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,3,0,0,2,1,0,0,0,2,1,0,2,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,3,0,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,1,0,0,0,3,0,0,0,1,2,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,3,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,0,3,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,3,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,1,0,0,1,2,0,1,2,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,4,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,0,1,3,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,3,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,2,0,0,0,1,2,2,0,1,0,3,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,4,0,0,1,0,2,0,0,1,0,0,0,1,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,3,0,0,0,1,2,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,1,1,0,1,3,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,2,0,0,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,2,1,1,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,0,0,0,3,0,1,1,1,1,0,0,0,0,1,3,1,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,2,3,0,0,1,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,3,2,0,1,0,2,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,2,1,1,0,0,1,0,1,0,1,2,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,3,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,2,1,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,1,2,0,3,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,3,1,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,3,0,1,1,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,3,0,1,2,1,0,0,0,2,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,3,0,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,3,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,1,1,0,0,3,0,0,0,1,2,1,1,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,3,0,1,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,2,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,0,0,3,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,1,3,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,3,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,4,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,1,2,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,4,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,2,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,2,0,1,0,2,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,0,0,2,1,0,1,2,1,0,0,0,1,0,1,3,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,0,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,3,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,0,1,2,2,0,1,0,3,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,4,0,0,1,0,2,1,0,1,0,0,0,1,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,3,0,0,0,1,2,2,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,1,1,0,1,3,0,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,3,0,0,1,1,1,1,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,2,1,1,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,0,1,0,3,0,1,1,1,1,0,0,0,1,1,3,1,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,2,3,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,1,3,2,0,1,1,2,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,1,1,0,0,1,2,0,2,1,1,0,0,1,0,1,0,1,2,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,3,0,1,0,0,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,1,0,0,0,2,0,0,0,2,0,0,0,2,1,0,0,1,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,1,2,0,3,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,3,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,0,3,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,1,0,3,0,1,1,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,0,1,0,0,1,3,0,1,2,1,0,0,0,2,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,3,0,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,3,2,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,1,1,0,0,3,0,0,0,1,2,1,1,1,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,3,0,2,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,1,0,2,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,2,1,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,1,0,3,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,2,0,1,1,3,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,3,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,1,2,0,0,0,2,0,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,2,0,2,0,1,1,1,0,4,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,1,0,1,3,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,2,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,1,2,0,1,2,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,4,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,2,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,1,2,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,2,0,1,0,2,1,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,0,0,2,1,0,1,3,1,0,0,0,1,0,1,3,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,0,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,2,2,0,2,0,1,1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,3,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,1,0,0,1,2,0,1,0,2,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,4,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,0,1,2,2,0,2,0,3,0,0,0,1,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,0,1,0,0,0,1,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,3,0,0,0,1,2,2,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,1,1,0,1,3,0,2,1,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,3,0,0,1,1,1,1,0,1,2,1,3,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,2,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,2,1,1,0,2,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,1,0,3,1,1,1,1,1,0,0,0,1,1,3,1,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,2,3,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,2,1,0,1,1,3,2,0,1,1,2,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,1,1,0,0,1,2,0,2,1,1,0,0,1,0,1,0,1,3,0,0,0,1,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,3,0,2,0,0,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,1,0,0,0,2,0,0,0,3,0,0,0,2,1,0,0,1,2,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,2,2,0,3,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,1,1,2,0,3,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,1,0,3,0,1,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,0,1,0,0,1,3,0,1,2,1,0,0,1,2,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,3,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,2,0,0,0,1,2,1,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,3,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,1,1,0,0,3,0,0,0,1,2,1,1,1,1,1,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,3,0,2,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,1,0,2,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,1,0,3,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,1,1,1,0,0,1,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,2,0,1,1,3,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,3,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,1,0,2,0,0,1,2,1,0,0,2,0,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,2,0,2,0,1,1,1,0,4,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,2,1,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,3,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,2,2,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,1,2,0,1,2,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,2,0,0,2,1,2,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,3,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,2,0,1,0,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,0,1,3,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,3,0,1,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,2,2,0,2,0,1,2,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,2,0,2,0,2,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,4,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,0,1,2,2,0,2,0,3,0,0,0,1,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,0,1,1,1,0,1,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,3,0,0,0,1,2,2,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,1,0,0,1,0,1,1,0,2,2,1,0,1,1,0,1,3,0,2,1,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,3,0,2,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,3,0,0,1,1,1,1,1,1,2,1,3,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,2,0,2,0,0,0,0,0,1,0,1,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,2,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,2,2,1,1,0,2,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,1,0,3,1,1,1,1,1,0,0,0,1,1,3,1,0,0,1,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,2,3,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,2,1,0,1,1,3,3,0,1,1,2,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,0,0,1,1,0,0,1,2,0,2,1,1,0,0,1,0,1,0,1,3,0,0,0,1,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,3,0,2,0,0,0,2,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,1,2,1,0,0,0,2,0,0,0,3,0,0,0,2,1,0,0,1,2,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,2,2,0,3,1,1,1,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,1,1,2,0,3,1,1,0,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,0,4,0,0,0,0,1,1,0,3,0,0,0,0,1,0,0,1,0,3,0,1,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,0,1,0,0,1,3,0,1,2,1,0,0,1,2,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,3,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,2,0,0,0,3,2,1,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,3,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,1,1,1,0,3,0,0,0,1,2,1,1,1,1,1,1,2,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,2,3,0,2,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,1,0,2,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,1,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,1,0,3,0,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,3,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,2,0,0,0,2,0,1,0,2,0,1,1,1,0,0,1,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,2,0,1,0,0,0,0,1,2,0,1,0,0,2,1,0,2,0,1,1,3,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,3,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,1,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,2,1,1,2,0,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,1,0,1,0,0,0,0,1,3,0,1,1,0,2,0,0,1,2,1,0,0,2,0,1,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,2,0,2,0,1,1,1,0,4,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,3,1,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,3,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,2,2,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,1,2,0,1,2,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,4,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,0,0,0,0,0,2,0,0,2,1,2,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,0,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,4,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,2,0,1,1,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,1,1,3,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,3,0,1,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,1,0,0,2,2,0,2,0,1,2,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,1,0,2,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,2,0,2,0,2,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,4,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,4,0,0,0,1,2,2,0,2,0,3,0,0,0,2,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,2,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,0,1,1,1,0,1,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,4,0,0,0,1,2,2,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,1,0,1,0,0,1,0,1,1,0,2,2,1,0,1,1,0,1,3,1,2,1,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,2,0,1,2,0,0,1,0,0,0,3,0,2,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,4,0,0,1,1,1,1,1,1,2,1,3,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,2,0,2,0,0,0,0,0,1,0,1,2,0,2,0,3,0,0,1,0,0,1,0,2,0,1,2,1,2,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,0,2,2,1,1,0,2,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,2,0,0,1,0,3,1,1,1,1,1,0,0,1,1,1,3,1,0,0,1,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,0,0,1,0,1,1,0,1,2,1,2,3,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,2,2,0,1,1,3,3,0,1,1,2,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,0,0,1,2,0,0,1,2,1,2,1,1,0,0,1,0,1,0,1,3,0,0,0,1,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,3,0,2,0,1,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,1,2,1,0,0,1,2,0,0,0,3,0,0,0,2,1,0,0,1,2,1,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,2,2,0,3,1,1,1,0,0,1,1,0,0,1,1,2,0,0,0,2,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,2,2,2,0,3,1,1,0,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,0,0,0,1,0,0,1,0,3,0,1,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,0,1,0,0,1,3,0,1,2,1,0,1,1,2,1,0,2,0,0,0,1,1,2,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,3,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,1,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,2,0,0,0,3,2,1,1,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,3,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,1,0,0,1,0,0,1,0,1,1,1,0,0,2,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,1,1,1,0,3,0,0,1,1,2,1,1,1,1,1,1,2,0,0,1,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,0,0,3,0,0,0,1,0,2,3,0,2,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,1,0,2,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,1,3,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,1,0,3,0,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,3,1,0,1,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,2,0,0,0,2,0,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,1,0,2,0,0,1,0,0,2,2,0,1,0,0,0,0,1,2,0,1,0,0,2,1,0,2,0,1,1,3,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,3,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,1,0,2,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,2,1,1,3,0,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,0,1,0,0,0,0,1,3,0,1,1,0,2,0,0,1,2,1,0,0,3,0,1,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,2,0,2,0,2,1,1,0,4,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,1,1,4,1,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,3,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,3,2,2,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,2,2,0,1,2,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,1,1,1,0,0,1,2,1,0,1,0,4,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,0,0,0,0,0,2,0,0,2,1,2,2,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,2,0,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,4,1,0,2,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,2,0,1,2,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,2,1,3,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,3,0,2,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,1,0,0,2,2,0,2,0,1,2,1,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,0,2,3,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,2,0,2,0,2,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,5,2,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,2,0,3,0,0,0,2,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,2,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,0,1,1,1,1,2,0,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,2,4,0,0,0,1,2,2,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,2,0,1,0,0,1,0,1,1,0,2,2,1,0,1,2,0,1,3,1,2,1,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,1,0,0,0,2,0,1,2,0,0,1,0,0,0,3,0,2,1,1,1,2,2,0,1,2,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,2,0,1,0,4,0,0,1,1,1,1,1,1,2,1,3,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,2,0,2,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,1,0,0,1,0,2,0,1,2,1,2,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,2,2,1,1,1,2,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,2,0,0,1,0,3,1,1,1,1,1,0,0,1,1,1,3,1,0,0,2,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,2,0,1,1,0,1,1,0,1,2,1,2,3,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,2,2,0,1,2,3,4,0,1,1,2,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,0,0,1,2,0,0,1,2,1,2,1,1,0,0,1,0,1,0,2,3,0,0,0,2,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,4,1,0,0,3,0,2,0,1,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,1,0,0,0,2,0,1,1,0,0,1,2,1,0,0,1,2,0,0,0,3,0,0,0,2,1,0,0,1,2,1,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,2,2,0,4,1,1,1,0,0,1,1,0,0,1,1,2,0,0,0,2,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,0,0,1,2,2,2,0,3,1,1,1,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,0,0,0,1,0,0,1,0,3,0,1,2,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,0,1,0,0,2,4,0,1,2,1,0,1,1,2,1,0,2,0,0,0,1,1,2,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,3,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,1,1,1,0,0,1,2,0,1,0,0,2,1,0,0,1,0,2,0,0,0,4,2,1,1,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,2,4,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,1,0,0,1,0,0,1,0,1,1,1,0,0,2,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,1,1,1,0,3,0,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,0,0,0,3,0,0,0,1,0,2,3,0,2,0,0,2,1,1,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,1,3,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,1,0,3,0,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,3,1,0,1,0,1,1,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,1,0,2,2,0,0,0,2,0,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,0,0,1,2,0,1,0,0,2,1,0,2,0,1,1,3,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,1,1,0,1,0,1,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,3,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,2,1,1,3,0,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,3,1,1,0,0,0,0,1,3,0,1,1,0,2,0,0,1,2,1,0,0,3,0,1,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,2,0,2,0,2,1,1,0,4,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,1,1,4,1,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,3,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,2,1,1,0,0,0,3,2,3,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,2,2,0,1,2,0,2,0,1,0,0,0,2,0,1,0,2,0,0,0,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,1,1,1,0,0,1,2,2,0,1,0,4,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,1,0,1,0,0,0,0,0,2,0,0,3,1,2,2,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,2,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,4,1,0,3,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,2,0,1,2,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,2,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,2,1,3,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,3,0,2,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,1,0,0,2,2,0,2,0,1,2,1,0,0,2,1,1,1,1,0,0,2,0,1,0,0,0,1,0,2,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,1,0,0,3,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,2,0,2,0,3,0,0,1,0,1,2,0,1,0,1,0,0,1,1,1,0,1,0,5,2,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,2,0,3,0,0,0,2,0,0,2,1,1,0,2,1,0,0,1,0,1,0,0,2,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,2,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,1,1,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,0,2,4,0,0,0,1,2,2,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,2,0,1,0,0,1,0,1,1,0,2,2,1,0,2,2,0,1,3,1,2,1,0,1,0,0,1,0,2,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,1,1,0,0,0,2,0,1,2,0,0,1,0,0,0,4,0,2,1,1,1,2,2,0,1,2,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,3,0,1,0,4,0,0,1,1,1,1,1,1,2,1,3,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,2,0,2,0,2,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,1,0,0,1,1,2,0,1,2,1,2,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,2,2,1,1,1,2,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,0,1,0,2,2,0,1,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,2,0,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,2,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,2,0,1,1,0,1,1,0,2,2,1,2,3,0,0,1,0,0,1,2,1,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,2,2,0,1,3,3,4,0,1,1,2,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,1,1,1,2,0,0,1,2,1,2,1,1,0,0,1,0,1,0,2,3,0,0,0,2,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,2,4,1,0,0,3,0,3,0,1,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,1,1,0,0,0,2,0,1,1,0,0,1,2,1,0,0,1,2,0,0,0,3,1,0,0,2,2,0,0,1,2,1,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,2,2,0,4,1,1,1,0,0,1,1,0,0,2,1,2,0,0,0,2,0,1,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,0,0,1,2,2,2,0,3,1,1,2,1,1,0,1,1,0,2,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,0,1,0,0,1,0,3,0,1,2,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,2,4,0,1,2,1,0,1,1,2,1,1,2,0,0,0,1,1,2,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,3,0,1,2,2,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,0,1,2,0,1,0,0,2,1,0,0,1,0,2,0,0,0,4,2,1,1,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,2,4,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,1,0,0,1,0,1,1,1,1,1,1,0,0,2,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,1,1,1,0,3,0,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,2,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,0,0,0,3,0,0,0,1,0,2,3,0,2,0,0,2,1,1,0,1,1,2,2,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,1,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,1,3,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,0,3,0,1,1,1,3,0,1,0,0,1,0,0,0,0,1,1,1,3,1,0,1,0,1,1,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,1,1,1,1,1,0,3,2,0,0,0,2,0,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,0,0,1,2,0,1,0,0,2,1,0,2,0,1,1,3,3,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,1,1,0,1,0,1,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,1,2,0,0,3,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,0,2,1,1,3,0,0,1,1,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,3,1,1,0,0,0,0,1,3,0,1,1,0,2,1,0,1,2,1,0,0,3,0,2,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,2,0,2,0,3,1,1,0,4,1,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,4,1,0,0,2,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,3,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,1,1,0,0,1,0,1,1,2,0,0,0,1,0,2,1,1,0,0,0,3,2,3,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,3,2,0,1,2,0,2,0,1,0,0,0,2,0,2,0,2,0,0,0,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,1,2,1,0,0,1,2,2,0,1,0,4,2,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,2,0,0,3,1,2,2,0,1,1,1,2,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,2,0,0,2,0,1,2,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,4,1,0,3,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,2,0,1,2,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,3,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,2,1,4,1,1,1,2,0,0,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,4,0,2,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,1,0,0,2,2,0,2,0,1,2,1,0,0,2,1,1,2,1,0,0,3,0,1,0,0,0,1,0,2,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,2,0,0,4,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,1,1,2,0,2,0,3,0,0,1,0,2,2,0,1,0,1,0,0,1,1,1,0,1,0,5,2,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,2,0,3,0,0,0,2,0,0,2,1,1,0,2,1,0,1,1,0,1,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,2,0,2,0,0,0,1,1,0,0,0,1,4,1,0,1,1,2,1,1,2,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,0,2,4,0,1,0,1,2,2,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,2,0,1,0,0,2,0,1,1,0,2,3,1,0,2,2,0,1,3,1,2,1,0,1,0,0,1,0,2,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,1,1,0,0,0,2,0,1,2,0,0,1,0,0,1,4,0,2,1,2,1,2,2,0,1,2,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,3,0,1,0,4,0,0,1,1,1,1,1,1,2,1,3,0,0,2,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,2,0,2,0,2,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,2,0,0,1,1,2,0,1,2,1,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,2,2,1,1,1,2,0,1,0,0,2,0,0,0,2,1,1,0,0,0,2,0,1,0,2,2,0,1,0,1,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,2,0,1,0,2,0,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,2,0,1,1,0,1,1,0,2,2,1,2,3,0,0,1,0,0,1,2,1,0,0,2,3,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,2,2,0,1,3,3,4,0,1,1,2,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,2,0,0,1,3,1,2,1,1,0,0,1,0,1,0,2,3,0,0,0,2,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,2,4,1,0,0,3,0,4,0,1,0,2,1,1,1,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,1,1,0,0,0,2,0,1,1,0,0,1,2,1,1,0,1,2,0,0,0,3,1,0,0,2,2,0,0,1,2,1,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,2,2,0,4,1,1,1,0,0,1,1,0,0,2,1,2,0,0,1,2,0,1,0,3,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,0,0,2,2,2,2,0,3,1,1,2,1,1,0,1,1,0,2,2,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,0,1,0,1,1,0,3,0,1,2,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,2,4,0,1,2,1,0,1,1,2,1,1,2,0,0,0,2,2,2,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,3,0,1,3,2,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,0,1,2,0,1,0,0,2,1,0,0,1,0,2,1,0,0,4,2,1,1,0,0,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,2,4,2,0,0,0,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,1,1,1,1,0,0,2,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,4,1,1,1,0,3,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,2,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,0,0,0,3,0,0,0,1,0,2,3,0,2,0,0,2,1,1,2,1,1,2,2,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,1,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,1,1,0,2,1,0,2,1,3,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,1,3,0,1,1,1,3,0,1,0,0,1,0,0,0,0,1,1,1,3,1,1,1,0,1,1,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,1,1,1,1,1,0,3,2,1,0,0,2,1,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,1,3,3,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,1,0,0,1,1,0,1,0,1,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,1,2,1,0,3,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,2,1,0,2,2,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,0,2,1,1,3,0,0,1,1,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,1,0,3,1,1,0,0,0,0,1,3,0,1,1,0,2,2,0,1,2,1,0,0,3,0,2,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,2,0,2,0,3,1,2,0,4,1,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,4,1,0,0,2,0,0,0,0,1,0,1,0,1,1,1,2,1,1,0,0,0,2,2,0,1,0,1,3,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,1,1,0,0,1,0,1,1,2,1,1,0,1,0,2,1,1,0,0,0,3,2,3,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,2,0,0,1,2,0,3,2,0,1,2,0,2,0,1,0,0,0,2,0,3,0,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,1,5,0,1,0,1,0,0,0,0,2,2,1,0,0,1,2,2,0,1,0,4,2,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,2,0,0,3,1,2,2,1,1,1,1,2,1,1,0,1,1,0,1,1,1,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,0,2,0,0,2,0,1,2,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,4,1,0,3,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,2,0,2,2,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,3,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,2,1,4,1,1,2,2,0,0,1,0,1,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,2,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,1,4,0,2,2,1,1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,1,0,0,2,2,0,2,0,1,2,1,0,0,2,1,1,2,1,0,0,3,0,1,0,0,0,1,0,2,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,3,2,1,1,3,0,0,4,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,2,1,2,0,2,0,3,0,0,1,0,2,2,0,1,0,1,0,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,3,0,3,0,0,0,2,0,0,2,1,1,0,2,1,0,1,1,0,1,0,0,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,2,1,2,0,0,0,2,1,0,0,0,1,4,1,0,1,1,2,1,1,2,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,0,2,4,1,1,0,1,2,2,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,2,0,1,0,0,2,0,1,1,0,2,4,1,0,2,2,0,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,1,4,0,2,1,2,1,2,2,0,1,2,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,3,0,1,0,4,0,0,1,1,1,1,1,1,3,1,4,0,0,2,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,2,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,2,0,0,1,1,3,0,1,2,1,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,2,2,1,1,1,2,0,1,0,0,2,1,0,0,2,1,1,1,0,0,2,0,1,0,2,2,0,1,0,1,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,2,0,1,0,3,0,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,2,0,1,1,0,1,1,0,2,2,1,2,3,0,0,1,1,1,1,2,1,0,0,2,3,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,2,1,1,1,2,2,0,1,3,3,4,0,1,1,2,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,2,0,0,1,3,1,2,1,1,0,0,1,0,1,0,2,3,0,0,0,2,2,1,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,2,4,1,0,0,3,0,4,0,1,0,2,1,1,1,2,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,1,2,0,0,0,2,0,1,1,0,0,1,2,1,1,0,1,2,0,0,0,3,1,0,0,2,2,0,0,1,2,1,0,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,0,2,0,2,2,0,4,1,1,1,0,0,1,1,0,0,2,1,2,0,0,1,2,0,1,0,3,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,0,0,2,2,2,2,0,3,1,1,2,1,1,0,1,1,0,2,2,1,1,0,1,0,2,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,0,1,0,1,1,0,3,0,2,2,2,1,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,2,4,0,1,2,1,0,1,1,3,1,1,2,0,0,0,2,2,2,1,0,1,0,2,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,2,1,0,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,1,1,2,0,1,0,0,3,1,0,0,1,0,2,1,0,0,4,2,1,1,0,0,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,2,4,3,0,0,0,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,1,1,1,1,0,0,2,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,4,1,1,1,0,3,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,3,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,1,0,0,4,0,0,0,1,0,2,3,0,2,0,0,2,1,1,2,1,1,2,2,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,1,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,1,2,0,2,1,1,2,1,3,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,1,3,0,2,1,1,3,0,1,1,0,1,0,0,0,0,1,1,1,3,1,1,1,0,1,1,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,1,1,1,1,1,0,3,2,2,0,0,2,2,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,1,3,3,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,1,0,2,0,0,1,1,1,1,0,1,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,1,2,1,0,3,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,2,1,0,2,2,0,0,0,2,0,0,1,0,0,2,0,1,1,2,0,0,0,2,1,1,3,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,1,0,3,1,1,0,0,0,0,1,3,0,1,1,0,2,2,0,1,2,2,0,0,3,1,2,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,3,0,2,0,3,1,2,0,4,1,0,0,0,2,0,1,1,0,0,0,2,1,1,0,1,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,4,1,0,0,2,0,0,0,0,1,0,1,0,1,1,1,2,2,1,0,0,0,2,2,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,3,1,1,0,0,1,0,1,1,2,1,1,0,1,0,2,1,1,0,0,0,3,2,3,0,0,1,0,1,0,0,0,1,4,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,2,0,0,1,2,0,3,2,0,1,2,1,2,0,1,0,0,0,2,0,3,0,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,1,5,0,1,1,1,0,0,1,0,2,2,1,0,0,1,2,2,0,1,0,4,2,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,2,0,0,3,1,2,2,1,1,2,1,2,1,1,0,1,1,0,1,1,1,1,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,0,2,0,0,2,0,1,2,1,1,1,1,0,1,0,1,0,1,0,2,1,1,0,0,4,1,0,3,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,2,0,2,3,2,2,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,3,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,0,0,1,0,2,1,1,1,3,1,0,0,0,1,2,1,5,1,1,2,2,0,0,1,0,1,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,2,2,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,1,4,1,2,2,1,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,1,0,0,2,2,0,2,0,1,3,1,0,0,2,1,1,2,1,0,0,3,0,1,0,0,0,1,0,3,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,1,0,0,1,1,0,0,1,1,0,1,2,3,2,1,1,3,0,0,4,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,0,1,1,2,1,2,0,2,0,3,0,0,1,0,2,2,0,1,0,1,0,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,3,0,3,0,0,0,3,0,0,2,1,1,0,2,1,0,1,1,0,2,0,0,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,1,2,1,2,1,0,0,2,1,0,0,0,1,4,1,0,1,1,2,1,1,2,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,1,2,0,0,1,0,0,1,0,1,0,0,1,0,2,2,0,0,2,4,1,1,0,1,2,2,1,0,1,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,2,0,1,0,0,2,0,1,1,0,3,4,1,0,2,2,0,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,1,4,0,2,1,2,1,2,2,0,1,2,1,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,3,0,1,0,4,0,0,1,1,2,1,1,1,3,1,4,0,0,2,0,0,1,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,3,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,2,0,1,1,1,3,0,1,2,1,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,3,2,1,1,1,2,0,1,0,0,2,1,0,0,2,1,1,1,0,0,2,0,1,0,2,2,0,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,2,0,1,0,3,0,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,2,0,1,1,0,1,1,0,2,3,1,2,3,0,0,1,1,1,1,2,1,0,0,2,4,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,2,1,1,2,2,2,0,1,3,3,5,0,1,1,2,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,0,1,0,1,0,2,3,0,0,0,2,3,1,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,2,1,0,0,0,0,0,1,0,0,3,4,1,0,0,3,0,4,0,1,0,2,1,1,1,2,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,1,2,0,0,0,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,0,3,1,0,0,2,2,0,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,2,0,2,2,0,4,1,1,1,0,0,1,1,0,0,2,1,3,0,0,1,2,0,1,0,3,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,2,0,2,2,2,2,0,3,1,1,2,1,1,0,1,1,0,2,2,1,1,0,1,0,2,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,0,1,0,2,1,0,4,0,2,2,2,1,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,2,4,0,1,2,1,0,1,1,3,1,1,2,0,0,0,2,2,2,1,0,2,0,2,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,2,1,1,0,0,1,2,1,1,1,0,0,0,2,1,0,1,0,1,0,0,0,2,1,0,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,1,1,2,0,1,0,0,3,1,0,0,1,0,3,1,0,0,5,2,1,1,0,0,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,2,4,3,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,1,1,1,1,0,0,2,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,4,1,1,1,0,5,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,3,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,1,0,0,4,0,0,0,1,0,2,3,0,2,1,0,2,1,1,2,1,2,2,2,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,1,0,0,1,0,1,2,1,1,1,0,0,1,1,0,0,1,2,0,2,1,1,2,2,3,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,1,3,0,2,2,1,3,0,1,1,0,1,0,0,0,0,1,1,1,3,1,1,1,0,1,1,2,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,1,1,1,0,3,2,2,0,0,2,2,1,0,2,0,1,2,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,2,0,1,0,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,1,3,3,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,3,2,0,2,0,0,1,1,1,1,0,1,3,0,1,0,3,1,1,1,0,0,1,0,1,0,1,1,0,1,2,1,0,3,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,3,1,0,2,2,0,0,0,2,0,0,1,0,0,2,0,1,1,2,0,0,0,2,2,1,3,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,0,3,1,1,0,0,0,0,1,3,0,1,1,0,2,2,0,1,2,2,0,0,3,1,2,1,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,1,2,0,4,1,0,0,0,2,0,1,1,0,0,0,2,1,1,0,1,1,1,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,1,2,1,4,1,0,0,2,0,0,0,0,1,0,1,0,2,1,1,2,2,1,0,0,0,2,2,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,0,1,1,2,1,1,0,1,0,2,1,1,0,0,0,3,2,3,0,0,1,0,1,0,0,0,1,5,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,2,0,0,1,2,0,3,2,1,1,2,1,2,0,1,0,0,0,2,0,3,1,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,1,5,0,1,1,1,0,0,1,0,2,2,1,0,0,1,2,2,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,2,0,0,3,1,2,2,1,1,2,1,2,1,1,0,1,1,0,1,1,1,2,2,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,0,2,1,0,2,0,1,2,1,1,1,1,0,1,0,1,0,1,0,2,1,1,0,0,4,1,0,3,0,2,3,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,2,0,2,3,2,2,2,0,1,1,1,0,0,0,2,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,4,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,0,0,2,0,2,1,1,1,3,1,0,0,0,1,2,1,5,1,1,2,2,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,3,2,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,2,0,1,4,1,2,2,1,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,1,0,0,2,2,0,2,0,2,3,1,0,0,2,2,1,2,1,0,0,3,0,1,0,0,0,1,0,3,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,1,1,3,0,0,4,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,0,1,2,2,1,2,0,3,0,3,0,0,1,0,2,2,0,1,0,1,0,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,3,0,3,0,0,0,3,0,0,2,1,1,0,2,1,0,1,1,0,2,0,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,2,1,2,1,0,0,2,1,0,0,0,1,4,1,0,1,1,2,2,1,2,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,0,0,1,0,0,1,0,1,1,0,1,0,2,2,0,0,2,4,1,1,0,1,2,2,1,0,1,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,0,3,0,1,0,0,2,0,1,1,0,3,4,1,0,3,2,0,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,2,4,0,2,2,2,1,2,2,0,1,2,1,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,3,0,1,0,5,0,0,1,1,2,1,1,1,3,1,4,0,0,3,0,0,1,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,3,0,0,0,0,0,1,0,1,3,0,2,1,3,0,0,2,0,1,1,1,3,0,1,3,2,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,1,3,2,1,1,1,2,0,2,0,0,2,1,0,0,2,1,1,1,0,0,2,0,1,0,2,2,0,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,0,1,0,3,0,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,1,0,0,1,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,0,1,1,0,2,3,2,2,3,0,0,1,1,1,1,2,1,0,0,2,4,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,2,1,1,2,2,2,0,1,3,3,5,0,1,1,2,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,0,2,0,1,1,2,3,0,0,0,2,3,1,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,2,1,0,0,0,1,0,1,0,0,3,4,1,0,0,3,1,4,0,1,0,2,1,1,1,2,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,0,1,2,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,0,3,1,0,0,2,2,0,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,2,2,0,2,2,0,4,1,1,1,0,0,1,1,0,0,2,1,3,0,0,1,2,0,1,0,3,1,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,3,0,2,2,2,2,0,3,1,1,2,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,0,2,0,2,1,0,4,0,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,0,1,2,1,0,1,1,3,1,1,2,0,0,0,2,2,2,1,0,2,0,2,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,2,1,1,0,0,1,2,1,1,1,0,0,0,2,2,0,1,0,1,0,0,0,2,2,0,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,2,0,2,1,1,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,2,1,1,0,0,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,2,4,3,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,1,1,1,2,0,0,3,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,5,1,1,1,0,5,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,0,1,0,2,3,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,3,1,0,0,4,0,1,0,1,0,2,3,0,2,1,0,2,2,1,2,1,2,2,2,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,1,2,1,0,0,1,0,1,2,1,1,1,1,0,1,1,0,0,1,2,0,2,1,1,2,2,3,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,1,3,0,2,2,1,3,0,1,1,0,3,0,0,0,0,1,1,1,3,1,1,1,0,1,1,2,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,1,1,1,0,3,2,2,0,1,2,2,1,0,2,0,1,3,1,1,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,3,0,1,1,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,1,3,3,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,0,2,0,0,1,1,1,1,0,1,3,0,1,0,3,1,1,2,0,0,1,0,1,0,1,1,0,1,2,1,0,3,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,3,2,0,2,2,0,0,0,2,0,0,1,0,0,3,0,1,1,2,0,0,0,2,2,1,3,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,1,3,2,1,0,0,0,0,1,3,0,1,1,0,2,2,0,1,2,2,0,0,3,1,2,1,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,1,2,0,4,1,0,0,0,2,0,1,1,0,0,0,2,1,1,0,1,1,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,1,2,1,4,1,1,0,2,0,0,0,1,1,0,1,0,2,1,1,2,2,1,0,0,0,2,2,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,0,1,1,2,1,1,0,1,0,2,2,1,0,0,0,3,2,3,1,0,1,0,1,0,0,0,1,5,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,0,1,2,0,0,1,2,0,3,2,1,1,2,1,2,0,1,0,0,0,2,0,4,1,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,1,5,0,1,1,1,0,0,1,0,2,2,1,0,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,3,0,0,3,1,2,2,1,1,2,1,2,1,1,0,1,1,0,1,1,1,2,2,0,0,1,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,0,2,1,0,2,0,1,2,1,1,1,1,0,2,0,1,0,1,0,2,1,1,0,0,4,1,0,3,0,2,3,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,2,2,0,2,3,2,2,2,0,1,1,2,0,0,0,2,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,4,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,0,0,2,0,2,1,1,1,3,1,0,0,0,1,2,2,5,2,1,2,2,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,0,0,3,2,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,1,0,2,0,1,4,1,3,2,1,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,3,1,1,0,0,2,2,1,2,0,2,3,1,0,0,2,2,1,2,1,0,0,3,0,1,0,0,0,1,0,3,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,1,1,3,0,0,4,0,0,1,2,3,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,0,1,2,2,1,2,0,3,0,3,0,0,1,0,2,2,0,1,0,2,1,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,0,1,2,2,0,3,0,3,1,0,0,3,1,0,2,1,1,0,2,1,0,1,1,0,2,0,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,2,1,2,1,0,0,2,1,0,0,0,1,4,2,0,1,1,2,2,1,3,1,1,1,2,0,1,3,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,1,0,1,0,2,2,0,0,2,4,1,1,0,1,2,2,1,0,2,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,0,1,1,0,3,4,1,0,3,2,1,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,2,5,0,2,2,2,1,2,2,0,1,2,1,1,0,1,1,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,0,2,1,1,0,1,2,3,0,1,0,5,0,0,1,1,2,1,1,1,3,1,4,0,0,3,0,0,1,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,3,0,0,0,0,0,1,0,1,3,0,2,1,4,0,0,2,0,1,1,1,3,0,1,4,2,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,1,3,2,1,1,1,2,0,2,0,1,2,1,0,0,2,2,1,1,0,0,2,0,1,0,2,2,0,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,0,1,0,3,1,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,1,0,0,1,2,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,3,2,2,3,0,0,1,1,1,1,2,1,0,0,2,4,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,2,1,1,2,3,3,0,1,3,3,5,0,1,1,2,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,0,3,0,1,1,2,3,0,0,0,2,3,1,0,0,0,1,0,0,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,3,2,1,0,0,0,1,0,1,0,0,3,4,1,0,0,3,1,4,0,1,0,2,1,1,1,2,3,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,0,2,2,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,1,3,1,0,0,2,2,0,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,2,2,0,2,2,0,4,1,1,1,0,1,1,1,0,0,2,1,3,0,0,1,2,0,1,0,3,1,0,1,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,2,3,0,2,2,2,2,0,3,2,1,2,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,0,1,0,5,0,0,1,0,1,1,0,3,0,1,0,1,2,0,3,1,0,4,0,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,0,1,2,1,1,1,1,3,1,1,2,0,0,0,2,2,2,1,0,2,0,2,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,3,1,1,0,0,1,2,1,1,1,0,0,0,2,2,0,1,0,1,0,0,0,2,2,1,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,2,0,2,1,1,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,3,1,1,0,0,2,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,2,4,3,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,2,1,1,2,0,0,3,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,5,1,1,1,0,5,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,1,2,0,2,3,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,3,1,0,0,4,0,1,0,1,0,2,3,0,2,1,0,2,2,1,2,1,2,2,2,0,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,3,2,1,0,0,1,0,1,2,1,1,1,1,0,1,1,0,0,1,2,0,2,1,1,2,2,3,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,1,1,2,3,0,2,2,1,3,0,1,1,0,3,0,0,0,0,1,2,1,3,1,1,1,0,1,1,2,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,2,1,1,0,3,2,2,0,1,2,2,1,0,2,0,1,3,1,2,0,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,3,0,1,1,0,0,0,1,2,1,1,0,0,2,1,0,2,0,2,1,3,3,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,0,3,0,0,1,1,1,1,0,1,3,0,1,0,3,1,1,2,0,0,1,0,1,0,1,1,0,1,2,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,2,2,1,0,3,2,0,2,2,0,0,0,2,1,0,1,0,0,3,0,1,1,2,0,0,0,2,2,1,4,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,1,3,2,1,0,0,0,0,2,3,0,1,1,0,2,2,0,1,2,2,0,0,3,1,2,2,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,1,2,0,4,1,0,0,1,2,0,1,1,0,0,0,2,2,1,0,1,1,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,1,2,1,4,1,1,0,2,0,1,0,1,1,0,1,0,2,1,1,2,2,1,0,0,0,2,2,1,1,0,1,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,0,1,1,2,1,1,1,1,0,3,2,1,0,0,0,3,2,3,1,0,1,0,1,0,0,0,1,5,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,0,1,3,0,0,1,2,0,3,2,1,1,2,1,2,1,1,0,0,0,2,0,4,1,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,2,5,0,1,1,1,0,1,1,0,2,2,1,0,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,1,0,1,0,0,0,0,0,3,0,0,3,1,2,2,1,1,2,1,2,1,2,1,1,1,0,1,1,1,2,2,0,0,1,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,0,2,1,0,2,0,1,2,1,1,1,1,0,2,0,1,1,1,0,3,1,1,0,0,4,1,0,3,0,2,3,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,2,2,1,2,3,2,2,2,0,1,1,2,0,0,0,2,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,4,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,0,0,2,0,2,1,1,1,3,1,0,0,0,1,2,2,5,2,1,2,2,0,0,1,0,2,1,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,3,0,0,0,3,2,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,1,0,2,0,1,4,1,3,2,1,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,3,1,1,0,0,2,2,1,2,1,2,3,1,1,0,2,2,1,2,1,0,0,3,0,1,0,0,0,1,0,3,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,1,1,3,0,0,4,0,0,1,2,3,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,1,2,2,2,1,2,0,3,0,3,0,0,1,0,2,2,0,1,0,2,1,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,0,0,1,1,2,2,0,3,0,3,1,0,0,3,1,0,2,1,1,0,2,1,0,1,1,0,2,1,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,2,1,2,1,0,0,2,1,1,0,0,1,4,2,0,1,1,2,2,1,3,1,1,1,2,0,1,3,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,1,0,1,1,2,2,0,0,2,4,1,1,0,2,2,2,1,0,2,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,0,1,1,0,3,4,1,0,4,3,1,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,2,5,0,2,2,2,1,2,2,0,1,2,1,1,0,1,1,1,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,0,3,1,1,0,1,2,3,0,1,0,5,0,0,1,1,2,1,1,1,3,1,4,0,0,3,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,3,0,0,0,0,0,2,0,1,3,0,2,1,4,0,0,2,0,1,1,1,3,0,2,4,2,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,1,3,2,2,1,1,2,0,2,0,1,2,1,0,0,2,2,1,1,0,0,2,0,1,0,2,2,1,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,0,1,0,3,2,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,0,3,2,1,0,1,1,2,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,3,2,2,3,0,0,1,1,1,2,2,1,0,0,2,4,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,2,1,1,2,3,3,0,1,3,3,6,0,1,1,2,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,0,3,0,1,1,2,3,0,0,0,3,3,2,0,0,0,1,0,0,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,2,1,0,0,0,1,1,1,0,0,3,4,1,0,0,3,1,4,0,1,0,2,1,1,1,2,3,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,0,2,2,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,1,4,1,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,1,2,2,0,2,2,0,4,1,1,1,0,1,1,1,0,0,2,1,3,0,0,1,2,0,1,1,3,1,0,1,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,2,3,0,2,2,2,2,0,3,2,1,3,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,0,0,0,1,1,0,5,0,0,1,0,1,1,0,3,0,1,0,1,2,0,3,1,0,5,0,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,0,1,2,1,1,1,1,3,1,1,2,0,0,1,2,2,2,2,0,2,0,2,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,3,1,1,0,1,1,2,1,1,1,0,0,0,2,2,0,1,0,1,0,0,1,2,2,1,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,0,2,1,1,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,3,1,1,0,0,2,1,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,2,4,4,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,2,1,1,2,0,0,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,5,1,1,1,0,5,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,1,2,0,2,3,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,3,1,0,0,4,0,1,0,1,0,2,4,0,2,1,1,2,2,1,2,1,2,2,2,0,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,3,2,1,0,0,1,0,1,2,2,1,1,1,0,1,1,0,0,1,2,0,2,1,1,2,2,3,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,1,2,3,0,2,2,1,3,0,1,1,0,3,0,0,0,0,1,2,1,3,2,1,1,0,1,1,2,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,2,1,1,0,3,2,2,0,1,2,2,1,0,2,0,1,3,1,2,0,1,0,0,0,2,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,3,0,1,1,0,0,0,1,2,1,1,0,0,2,1,0,2,0,3,1,3,3,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,0,3,0,0,1,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,0,1,0,1,1,0,2,2,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,1,0,3,2,0,2,2,0,0,0,2,1,0,1,0,0,4,0,1,1,2,0,0,0,2,2,1,4,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,1,3,2,1,0,0,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,0,3,1,2,2,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,1,2,0,4,1,0,0,1,2,0,2,1,0,0,0,2,2,1,0,1,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,2,2,1,4,1,1,0,2,0,1,0,1,1,0,1,0,2,1,1,2,2,1,0,0,1,2,2,1,1,0,1,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,1,1,1,1,0,3,2,1,0,0,0,3,2,3,1,0,1,0,1,0,0,0,1,5,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,1,0,1,3,0,0,1,2,0,3,2,1,1,2,1,2,1,1,0,0,0,2,0,4,2,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,2,5,0,1,2,1,0,1,1,0,2,2,1,0,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,1,0,1,0,0,0,0,0,3,0,0,3,1,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,2,0,0,1,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,2,1,2,1,0,2,0,2,2,1,1,1,1,0,2,0,1,1,1,0,3,1,1,0,0,4,1,0,3,0,2,3,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,2,3,1,2,3,2,2,2,0,1,1,2,0,0,0,2,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,4,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,1,0,0,2,0,2,1,1,1,3,1,0,0,0,1,2,2,5,2,2,2,2,0,0,1,0,2,1,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,3,0,0,0,3,2,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,1,1,3,0,1,4,1,3,2,1,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,3,1,1,0,0,2,2,1,2,1,2,3,1,2,0,2,3,1,2,1,0,0,3,0,1,0,0,0,1,0,3,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,2,1,3,1,0,4,0,0,1,2,3,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,1,2,2,2,2,2,0,3,0,3,0,0,1,0,2,2,0,1,0,2,1,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,4,1,0,1,2,2,2,0,3,0,3,1,0,0,3,1,0,2,1,1,0,2,1,0,1,1,0,2,1,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,2,1,2,1,0,0,2,1,1,0,0,1,5,2,0,1,1,2,2,1,3,1,1,1,2,0,1,3,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,1,0,1,1,2,2,0,0,2,4,1,1,0,2,2,2,1,0,2,2,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,1,1,1,0,3,4,1,0,4,3,1,1,3,1,2,1,0,1,0,0,1,0,2,2,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,1,1,1,0,1,0,2,0,2,2,0,0,1,0,0,3,5,0,2,2,2,1,2,2,0,1,2,1,1,0,1,1,1,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,3,2,1,0,1,2,3,0,1,0,5,0,0,1,1,2,1,1,1,3,1,4,0,0,3,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,2,0,2,0,3,0,0,0,0,0,2,0,1,3,0,3,1,4,0,0,2,0,2,1,1,3,0,2,4,2,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,3,1,1,1,3,2,2,1,1,2,0,2,0,1,2,1,0,0,2,2,1,1,0,0,2,0,1,0,2,2,1,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,0,1,0,3,2,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,2,3,2,1,0,1,1,2,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,4,2,2,3,0,0,1,1,1,2,2,1,0,0,3,4,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,2,2,1,2,3,3,0,2,3,3,6,0,1,1,2,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,1,3,0,1,1,2,3,0,0,0,3,3,2,0,0,0,1,0,0,1,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,2,1,0,0,0,1,1,1,0,0,3,5,1,0,0,3,1,4,0,1,0,2,1,1,1,2,3,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,1,2,2,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,1,4,2,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,1,3,2,0,2,2,0,4,1,1,1,0,1,1,1,0,0,2,1,3,0,0,1,2,0,1,1,3,1,0,1,0,2,0,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,0,2,3,0,2,2,2,2,0,3,2,1,3,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,1,0,0,0,1,1,0,5,0,0,1,0,1,1,0,3,0,1,0,1,2,1,3,1,0,5,0,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,0,1,2,1,2,1,1,3,1,1,2,0,1,1,2,2,2,2,0,2,0,2,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,1,1,3,1,1,0,2,1,2,1,1,1,0,0,0,2,2,1,1,0,1,0,0,1,2,2,1,0,3,0,1,3,2,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,0,2,2,2,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,3,1,1,0,0,2,1,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,2,4,4,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,1,3,1,1,2,0,0,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,0,5,1,0,1,1,2,1,1,1,1,1,1,2,0,0,2,1,2,0,2,3,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,3,1,0,0,4,0,1,0,1,0,2,4,0,2,1,1,2,2,2,2,1,2,2,2,0,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,3,2,2,0,0,1,0,1,2,2,1,1,1,0,1,1,0,0,1,2,0,2,1,1,2,2,3,0,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,1,3,3,0,2,2,1,3,0,1,1,0,3,0,0,0,0,1,3,1,3,2,1,1,0,1,1,2,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,2,1,1,1,3,2,3,0,1,2,2,1,0,2,0,1,3,1,2,0,1,0,0,0,2,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,3,0,1,1,0,0,0,1,2,1,2,0,0,2,1,0,2,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,0,1,0,1,1,0,3,2,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,1,0,4,2,0,2,2,0,0,0,2,1,0,1,0,0,4,0,1,1,2,0,0,0,3,2,1,4,0,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,1,3,2,1,0,1,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,0,3,1,2,2,2,1,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,2,2,0,4,1,0,1,1,2,0,2,1,0,0,0,2,2,1,0,1,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,0,1,0,2,1,1,2,2,1,0,0,1,2,2,1,1,0,1,3,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,1,1,1,1,0,3,2,1,0,0,0,3,2,4,1,0,1,0,1,0,0,0,1,5,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,2,1,2,1,1,0,0,0,2,0,4,3,2,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,5,1,1,2,1,0,1,1,0,2,2,1,0,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,1,0,1,0,0,0,0,0,3,0,1,3,1,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,2,0,0,1,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,1,2,1,0,2,0,2,2,1,1,1,1,0,2,0,1,1,1,0,3,1,1,0,0,4,1,0,3,0,2,3,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,2,3,1,2,3,2,2,2,0,1,1,2,0,0,0,2,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,5,2,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,1,0,0,2,0,2,1,1,1,3,1,0,0,0,1,2,2,5,2,2,2,3,0,0,2,0,2,1,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,3,0,0,0,3,2,2,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,1,1,3,0,1,4,1,3,3,1,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,3,1,1,0,0,2,2,1,2,1,2,3,1,2,0,2,3,1,2,1,0,1,3,0,1,0,0,0,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,0,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,2,1,4,1,0,4,0,0,1,3,3,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,1,2,2,2,2,2,0,3,0,3,0,1,1,0,2,2,0,1,0,2,1,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,5,1,0,1,2,2,2,0,3,0,3,2,0,0,3,1,0,2,1,1,0,2,1,0,1,1,0,2,1,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,1,1,2,1,2,2,0,0,2,1,1,0,0,1,5,2,0,1,1,2,2,1,3,1,1,1,2,0,1,3,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,1,0,1,2,2,2,0,0,2,4,1,1,0,2,2,2,1,0,2,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,1,1,1,0,3,4,1,0,4,3,1,1,3,2,2,1,0,1,0,0,1,0,2,2,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,1,1,1,0,1,0,2,0,2,2,0,0,1,0,0,3,5,0,2,2,2,1,2,3,0,1,3,1,1,0,1,1,1,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,3,3,1,0,1,2,3,0,1,0,5,0,0,1,1,2,1,1,1,3,1,4,0,0,3,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,2,0,2,0,3,0,0,0,0,0,2,0,1,3,0,3,1,4,0,0,2,0,2,1,1,4,0,2,4,2,2,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,4,1,1,1,3,2,2,1,1,2,0,2,0,1,2,1,0,0,2,2,1,1,0,0,3,0,1,0,2,2,1,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,0,1,0,3,3,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,2,3,3,1,0,1,1,2,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,4,2,2,3,0,0,1,1,1,2,2,1,0,0,3,4,0,0,0,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,1,0,2,1,0,1,0,0,0,0,0,1,2,2,1,2,3,3,0,2,3,3,6,0,1,1,2,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,1,3,0,1,1,2,3,0,0,0,3,3,2,0,0,1,1,0,0,1,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,2,1,0,0,0,1,1,1,0,0,3,5,1,0,0,3,2,4,0,1,1,2,1,1,1,2,3,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,1,2,2,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,1,5,3,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,1,3,2,1,2,2,0,4,1,1,1,0,1,1,1,1,0,2,1,3,0,0,1,2,0,1,1,3,1,0,1,0,2,0,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,0,2,3,0,2,2,3,2,0,3,2,2,3,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,1,0,0,0,1,1,0,5,0,0,1,0,1,1,0,4,0,1,0,1,2,1,3,2,0,5,0,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,0,1,2,1,2,1,1,3,1,1,2,0,1,2,2,2,2,2,0,2,0,2,1,2,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,1,1,0,2,1,2,1,1,1,0,0,0,2,2,1,1,0,1,0,0,1,2,2,1,0,3,0,1,3,2,0,2,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,0,2,2,2,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,4,2,1,0,0,2,1,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,2,4,4,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,2,3,1,1,2,0,0,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,0,1,1,3,1,1,1,1,1,1,2,0,0,2,1,2,0,2,3,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,3,1,0,0,4,0,2,0,1,0,2,4,0,2,1,1,2,2,2,2,1,2,2,2,1,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,3,2,2,0,0,1,0,1,2,2,1,1,1,0,1,1,0,0,1,2,0,2,1,2,2,2,3,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,1,3,3,0,2,2,1,3,0,1,2,0,3,0,0,0,0,1,3,1,3,2,1,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,2,2,1,1,3,2,4,0,1,2,2,1,0,2,0,1,3,1,2,0,1,0,0,0,2,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,2,0,1,1,0,1,2,3,0,1,1,0,0,1,1,2,1,2,0,0,2,1,1,2,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,0,1,0,1,1,0,3,3,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,1,0,4,2,0,2,2,0,0,0,2,1,0,1,0,0,4,0,1,1,3,0,0,0,3,2,1,4,1,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,0,1,1,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,0,3,1,2,2,2,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,2,2,0,4,1,0,1,1,3,0,2,1,1,0,0,2,2,1,0,1,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,0,1,0,3,1,2,2,2,1,0,0,1,2,2,1,1,0,1,3,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,1,1,0,3,2,1,0,0,0,3,2,4,1,0,1,0,1,0,0,0,1,5,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,2,1,2,1,1,0,0,0,2,0,4,3,3,0,0,2,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,0,2,2,1,1,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,1,0,1,0,0,0,0,0,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,2,0,0,1,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,1,2,1,0,2,0,2,2,1,1,1,1,0,2,0,1,2,1,0,3,1,1,0,0,4,1,0,4,0,2,3,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,2,3,1,2,3,2,3,2,0,1,1,2,1,0,0,2,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,5,2,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,1,0,0,2,0,2,1,1,1,3,1,0,0,1,1,2,2,6,2,2,2,3,0,0,2,0,2,1,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,3,0,0,0,3,2,2,2,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,1,3,0,1,4,1,3,3,1,2,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,3,1,2,0,0,2,2,1,2,1,2,3,1,2,0,2,3,1,2,1,0,1,3,0,1,0,0,1,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,3,1,1,1,2,0,0,1,1,0,0,1,1,1,1,2,3,2,2,1,4,1,0,4,0,0,2,3,3,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,1,2,2,2,2,2,0,3,1,3,0,1,1,0,2,2,0,1,0,2,2,0,1,1,1,0,1,0,5,2,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,5,1,0,1,2,2,2,0,3,0,3,2,1,0,3,1,0,2,1,1,0,3,1,0,1,1,0,2,1,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,1,1,2,1,2,2,0,0,2,1,1,0,0,2,5,2,0,1,1,2,2,2,3,1,1,1,2,0,1,3,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,2,0,1,2,2,2,0,0,2,4,1,1,0,2,2,2,1,1,2,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,1,1,1,0,3,4,1,0,4,3,1,2,3,2,2,1,0,1,0,1,1,0,2,2,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,1,1,1,0,1,0,2,0,2,2,1,0,1,1,0,3,5,0,2,2,2,1,2,3,0,1,3,1,1,0,1,1,1,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,3,3,1,0,1,2,3,0,1,0,6,0,0,1,1,2,1,1,1,3,1,4,0,0,4,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,2,0,2,0,3,0,0,0,1,0,2,0,1,3,0,3,1,4,0,0,2,0,2,1,1,4,0,2,4,2,2,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,4,1,1,1,3,2,2,1,1,2,0,2,0,1,3,1,0,0,2,2,1,1,0,0,3,1,1,0,2,2,1,1,0,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,1,1,0,3,3,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,2,3,3,1,0,1,1,2,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,4,2,2,3,0,0,1,1,1,2,2,1,0,1,3,4,0,1,0,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,1,0,2,1,0,1,0,0,0,0,0,1,2,2,1,2,3,3,0,2,3,3,6,0,1,1,2,0,2,1,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,1,1,1,1,1,3,0,0,1,3,1,2,1,1,0,1,3,0,1,2,2,3,0,0,0,3,3,2,0,0,1,1,0,0,1,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,3,1,0,0,0,1,1,1,0,0,3,5,1,0,0,3,2,4,0,1,1,3,1,1,1,2,3,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,2,3,0,0,1,2,0,1,1,0,0,1,2,1,1,0,2,2,0,0,1,5,3,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,1,3,2,1,2,2,0,4,1,1,1,0,1,1,1,1,0,2,1,3,0,0,1,2,0,1,1,3,1,0,1,0,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,2,0,2,3,0,2,2,3,2,0,4,2,2,3,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,2,0,1,0,0,0,1,1,0,5,0,0,1,0,1,1,0,4,0,1,0,1,2,1,3,2,0,5,1,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,2,0,1,0,0,2,4,1,1,2,1,2,1,1,3,1,1,2,0,1,2,2,2,2,2,0,2,0,2,1,3,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,1,1,0,2,1,2,1,1,1,0,0,0,2,2,1,1,0,1,0,0,1,2,2,1,0,3,0,1,3,2,0,3,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,1,2,2,2,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,4,2,1,1,0,2,1,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,3,4,4,0,0,1,0,1,0,0,0,0,1,3,0,0,2,2,1,0,1,0,1,2,3,1,1,2,0,1,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,0,1,1,3,1,1,1,1,1,1,2,0,0,2,1,2,0,2,3,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,3,1,0,0,4,0,2,0,1,0,2,4,0,2,1,1,2,2,2,2,2,2,2,2,2,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,4,1,3,2,2,0,0,1,0,1,2,2,2,1,1,0,1,1,1,0,1,2,0,2,1,2,2,2,3,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,2,3,3,0,2,2,1,3,0,1,2,0,3,0,0,0,0,1,3,1,3,2,2,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,1,1,1,1,2,2,1,1,3,2,4,0,1,2,3,1,0,2,0,1,3,1,2,0,1,0,0,0,3,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,2,0,2,0,1,1,0,1,2,3,0,1,1,0,0,1,1,2,1,2,0,0,2,2,1,2,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,1,1,0,1,2,0,3,3,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,2,1,0,4,2,0,2,2,0,1,0,2,1,0,1,0,0,4,0,1,1,3,0,0,0,3,2,1,4,1,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,1,2,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,0,3,1,2,2,2,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,2,2,0,4,1,0,1,1,3,0,2,2,2,0,0,2,2,1,0,1,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,0,1,0,3,1,2,2,2,1,0,0,1,2,2,1,1,0,1,3,1,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,1,1,0,3,2,1,0,0,1,3,2,4,1,0,1,0,1,0,1,0,1,5,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,2,1,2,1,1,0,0,0,2,0,4,3,3,1,0,2,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,0,2,2,2,1,0,1,2,3,0,1,0,6,2,2,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,1,0,1,0,0,0,0,1,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,3,0,0,1,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,1,2,1,0,2,0,2,2,1,1,2,1,0,2,0,1,2,1,0,3,1,1,0,0,4,1,0,4,0,2,3,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,2,3,1,2,3,2,3,2,0,1,1,2,1,0,0,2,1,2,0,0,1,1,2,0,0,0,0,0,0,1,0,5,2,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,1,0,0,2,0,2,1,1,1,3,1,0,0,1,1,2,2,6,2,2,2,4,0,0,2,0,2,1,0,1,0,3,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,3,0,0,0,3,2,2,2,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,1,3,0,1,4,1,3,3,1,3,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,4,1,2,0,0,2,2,1,2,1,2,3,1,2,0,2,3,1,3,1,0,1,3,0,1,0,0,1,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,1,2,1,0,1,1,0,0,1,1,1,1,2,3,2,2,1,4,1,0,4,0,0,2,3,3,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,1,2,2,2,2,2,0,3,1,3,0,1,1,0,2,2,0,1,0,2,2,1,1,1,1,0,1,0,5,2,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,5,1,0,1,2,2,2,0,3,0,3,2,1,0,3,1,0,2,1,1,0,3,1,0,1,2,0,2,1,1,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,2,1,1,2,1,2,2,0,0,2,1,1,0,0,2,5,2,0,1,1,2,2,2,3,1,1,1,2,0,1,3,3,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,2,0,1,2,2,2,0,0,2,4,1,1,0,2,2,2,1,1,3,2,3,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,0,3,0,1,0,0,2,1,1,1,1,3,4,1,0,4,4,1,2,3,2,2,1,0,1,0,1,1,0,2,2,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,3,1,1,1,0,1,0,2,0,2,2,1,0,1,1,0,3,5,0,2,2,2,2,2,3,0,1,3,1,1,0,1,1,1,0,0,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,3,3,1,0,1,2,3,0,1,0,6,0,0,1,1,2,1,1,1,3,1,4,1,1,4,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,2,0,2,0,3,0,0,0,1,0,2,0,2,3,0,3,1,4,0,0,2,0,2,1,1,4,1,2,4,2,2,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,4,1,1,1,3,2,2,1,1,2,1,2,0,1,3,1,0,0,2,2,1,1,0,0,3,1,1,0,2,2,1,1,1,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,1,2,1,1,0,3,3,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,0,2,3,3,2,0,1,1,2,2,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,4,2,2,4,0,0,1,1,1,3,2,1,0,1,3,4,0,1,0,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,0,1,2,2,1,2,3,3,0,2,3,3,6,0,1,1,2,0,2,1,2,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,0,1,1,1,1,1,3,0,0,1,3,2,2,1,1,0,1,3,0,1,2,2,3,0,0,0,3,3,2,0,0,1,1,0,0,1,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,3,1,0,0,0,1,1,1,0,0,3,5,1,0,1,3,2,4,0,1,1,4,1,1,1,2,3,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,2,3,0,0,1,2,1,1,1,0,1,1,2,1,1,0,2,2,0,0,1,5,3,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,2,3,2,1,2,2,0,4,1,2,1,0,1,1,1,1,0,2,1,3,0,0,1,2,0,1,1,3,1,0,1,0,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,2,0,2,3,0,2,2,3,3,0,4,2,2,3,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,1,1,3,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,2,0,1,0,0,0,1,1,0,5,1,0,1,0,1,1,0,4,0,1,0,1,2,1,3,2,0,6,1,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,2,2,0,1,0,0,2,4,1,1,2,1,2,1,1,3,1,2,2,0,1,2,2,2,2,2,0,2,0,2,1,3,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,1,1,0,2,1,2,1,1,1,0,0,0,2,2,1,1,0,1,0,0,1,2,2,1,0,3,0,2,3,2,0,3,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,1,2,2,2,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,4,2,1,1,0,3,1,1,2,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,3,5,4,0,0,1,0,1,0,0,0,1,1,3,0,0,2,2,1,0,1,0,1,2,3,1,1,2,0,1,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,1,1,1,3,1,1,1,1,2,1,2,0,0,2,1,2,0,2,3,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,0,3,1,0,0,4,0,2,0,1,0,3,4,0,2,1,1,2,2,2,2,2,2,2,2,2,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,1,0,4,1,3,2,2,0,0,1,0,1,2,2,2,1,1,0,1,1,1,0,1,2,0,2,1,2,3,2,3,0,1,2,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,3,3,3,0,3,2,1,3,0,1,2,0,3,0,0,0,0,1,3,1,3,2,2,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,1,1,1,1,2,2,1,1,3,2,4,0,1,2,3,1,1,2,0,1,3,1,2,0,1,0,0,0,3,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,2,0,2,0,1,1,0,1,3,3,0,1,1,0,0,1,1,3,1,2,0,0,2,2,1,2,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,1,1,0,1,3,0,3,3,1,0,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,2,1,0,4,2,0,2,2,0,1,0,2,1,0,1,0,0,4,0,1,1,3,0,1,0,3,2,1,4,1,0,1,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,1,2,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,1,3,1,2,2,2,1,1,2,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,1,0,3,0,2,0,3,2,2,0,4,1,0,1,1,3,0,2,2,2,0,0,2,3,1,0,2,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,1,1,0,3,1,2,2,2,1,0,0,1,2,2,1,1,0,1,3,1,3,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,2,1,0,3,2,2,0,0,1,3,2,4,1,0,1,0,1,0,1,0,1,5,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,3,1,2,1,1,0,0,0,2,0,4,3,3,1,0,2,1,0,1,2,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,0,2,2,2,1,0,1,2,3,0,1,0,6,2,3,3,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,1,0,1,1,0,0,0,1,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,4,0,0,1,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,1,2,1,0,2,0,2,2,1,1,2,1,0,2,0,1,3,1,0,3,1,1,0,0,4,1,0,4,0,2,3,1,0,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,2,3,2,2,3,2,3,2,0,1,1,2,1,0,0,2,1,3,0,0,1,1,2,0,0,0,0,0,0,1,0,5,2,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,3,1,0,0,2,0,2,1,1,1,3,2,0,0,1,1,2,2,6,2,2,2,4,0,0,2,0,2,1,0,1,0,3,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,1,3,0,0,0,3,2,2,2,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,1,3,0,1,4,1,4,3,1,3,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,4,1,4,0,0,2,2,1,2,1,2,3,1,2,0,2,3,1,3,1,0,1,3,0,1,0,0,1,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,1,2,1,0,1,1,0,0,2,1,1,1,2,3,2,2,1,4,1,0,4,0,0,2,3,3,0,1,0,1,0,1,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,1,3,2,2,2,2,0,3,1,3,0,1,1,0,2,3,0,1,0,2,2,1,1,1,1,0,1,0,5,2,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,5,1,0,1,2,2,2,0,3,0,3,2,1,0,3,1,0,2,1,2,0,3,1,0,1,2,0,2,1,2,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,1,1,2,1,2,2,0,0,2,1,1,0,0,2,5,2,0,2,1,2,2,2,3,1,1,1,2,0,1,3,3,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,2,0,1,2,2,2,0,0,2,5,1,1,0,2,2,2,1,1,3,2,3,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,3,1,3,0,1,0,0,2,1,1,1,1,3,4,1,0,4,4,1,2,4,2,2,1,0,1,0,1,1,0,2,2,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,1,1,0,1,0,2,0,2,2,1,0,1,1,0,3,5,0,2,2,2,2,2,3,0,1,3,1,1,0,1,1,2,0,0,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,0,1,0,3,3,2,0,1,2,3,0,1,0,6,0,0,1,1,2,1,1,1,3,1,4,1,1,4,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,2,0,2,0,3,0,0,0,1,0,2,0,2,3,0,3,1,4,0,0,2,0,2,1,2,4,1,2,4,2,2,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,4,1,1,1,3,2,2,1,2,2,1,2,0,1,3,1,0,0,2,2,1,1,0,0,3,1,1,0,2,2,1,1,1,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,1,2,1,1,0,3,3,0,1,0,3,1,2,1,1,1,0,0,1,2,1,3,1,1,2,3,3,2,0,1,1,2,2,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,1,1,1,0,3,0,1,1,1,1,1,1,2,4,2,2,4,0,0,1,1,1,3,3,1,0,1,3,4,0,1,0,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,0,1,2,2,1,2,3,3,0,3,4,3,6,0,1,1,2,0,2,1,2,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,0,1,1,1,1,1,3,0,0,2,3,2,2,1,1,0,1,3,0,1,2,2,3,0,0,0,3,3,2,0,1,1,1,0,0,1,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,3,1,0,0,0,1,1,1,0,0,3,5,1,0,1,3,2,5,0,1,1,4,1,1,1,2,3,1,2,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,2,3,0,0,1,2,1,1,1,0,1,1,2,1,1,0,3,3,0,0,1,5,3,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,2,3,2,1,2,2,0,4,1,2,1,0,1,2,1,1,0,2,1,3,0,0,1,2,0,1,1,3,2,0,1,0,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,2,0,2,3,0,2,2,3,3,0,4,2,2,3,1,1,0,1,1,0,2,4,1,1,0,1,1,2,0,1,1,3,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,2,0,1,0,0,0,1,1,0,5,1,1,1,0,1,1,0,4,0,1,0,1,3,1,3,2,0,6,1,2,2,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,2,2,0,1,0,0,3,4,1,1,2,1,2,1,1,3,1,2,2,0,1,2,2,3,2,2,0,2,0,2,1,3,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,1,1,0,2,1,2,1,1,1,0,0,0,2,3,1,1,0,1,0,0,1,2,2,1,0,3,0,2,3,2,0,3,1,1,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,3,1,2,2,2,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,4,2,1,1,0,3,1,1,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,3,5,4,0,0,2,0,1,0,0,0,1,1,3,0,0,2,2,1,0,1,1,1,2,3,1,1,2,0,1,4,2,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,1,1,1,3,1,2,1,1,2,1,2,0,0,2,1,2,0,3,3,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,0,3,1,0,0,4,0,2,0,1,0,3,4,0,2,1,1,2,2,2,2,2,2,2,2,2,0,1,0,0,2,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,1,0,4,1,3,2,2,0,0,1,0,1,2,3,2,1,1,0,1,1,1,0,1,2,0,2,1,2,3,2,3,0,1,2,1,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,3,3,3,0,3,2,1,3,0,1,2,0,3,0,0,0,0,1,4,1,3,3,2,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,1,1,1,1,2,2,1,1,3,2,4,0,1,2,3,1,1,2,0,1,3,1,2,0,1,1,0,0,3,1,2,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,2,0,2,0,1,1,0,1,3,3,0,1,1,0,0,2,1,3,1,2,0,0,2,2,1,3,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,1,1,0,1,3,0,3,3,1,1,4,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,2,1,0,4,2,0,2,3,0,1,0,2,1,0,1,0,0,4,0,1,2,3,0,1,0,3,2,1,4,1,0,1,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,1,2,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,0,1,2,2,0,1,3,1,2,2,2,1,1,2,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,2,1,0,3,0,2,0,3,2,2,0,4,1,0,1,1,3,0,2,2,2,0,0,2,3,1,0,2,3,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,1,1,0,3,1,2,2,2,2,0,0,1,2,2,1,1,0,1,3,2,3,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,2,1,0,3,2,3,0,0,1,3,2,4,1,0,1,0,2,0,1,0,1,5,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,3,1,2,2,2,0,0,0,2,0,4,3,3,1,0,2,1,0,1,2,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,1,2,2,2,1,0,1,2,3,0,1,0,6,3,3,3,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,1,0,1,1,0,0,0,1,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,4,0,0,1,0,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,2,2,1,0,2,0,2,2,1,1,2,1,0,2,0,1,3,1,0,3,1,1,0,0,5,1,0,4,0,2,3,1,0,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,1,2,3,2,2,3,2,3,2,0,1,1,2,1,0,0,2,1,3,0,0,1,1,2,0,1,0,0,0,0,1,0,5,2,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,3,1,0,0,2,0,2,2,1,1,3,2,0,0,1,1,2,2,6,2,2,2,4,0,0,2,0,2,1,0,1,0,3,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,1,1,3,0,0,0,3,2,2,2,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,1,3,0,1,4,1,4,3,2,3,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,4,1,4,0,0,3,2,1,2,2,2,3,1,2,0,2,3,1,3,1,0,1,3,0,1,0,0,1,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,1,2,1,0,1,1,0,0,2,1,1,1,3,3,2,2,1,4,1,0,4,0,0,2,3,3,0,1,0,1,0,1,0,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,0,0,1,1,3,2,2,2,2,0,3,1,3,0,2,1,0,2,3,0,1,0,2,2,1,1,1,1,0,1,0,5,2,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,5,1,0,1,2,2,2,0,3,0,3,2,1,0,3,1,1,2,1,2,0,3,2,0,1,2,0,2,1,2,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,1,1,2,1,2,2,0,0,2,1,1,0,0,2,5,2,0,2,1,2,2,2,3,1,1,1,3,0,1,3,3,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,1,2,0,1,2,2,2,0,0,2,5,1,1,0,2,2,2,1,1,3,2,3,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,3,0,1,0,0,2,1,1,1,1,3,4,1,0,4,4,1,2,4,2,2,1,1,1,0,1,1,0,2,2,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,1,1,0,1,0,2,0,2,2,1,0,1,1,1,3,5,0,2,2,2,2,2,3,0,1,3,1,1,0,1,1,2,0,0,0,3,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,2,0,0,1,0,3,4,2,0,1,2,3,0,1,0,6,0,0,1,1,2,1,1,1,3,1,4,1,1,4,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,2,0,2,0,3,0,0,0,1,0,2,0,2,3,0,3,1,4,1,0,2,0,2,1,3,4,1,2,4,2,2,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,4,1,1,1,3,2,2,3,2,2,1,2,0,1,3,1,0,0,2,2,1,1,0,0,3,1,1,0,2,2,1,1,1,1,0,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,1,2,1,1,0,3,3,0,2,0,3,1,2,1,1,1,0,0,1,2,1,3,1,1,2,3,3,2,1,1,1,2,2,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,1,1,1,0,3,0,2,1,1,2,1,1,2,4,2,2,4,0,0,1,1,1,3,3,1,0,1,3,4,0,1,0,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,0,1,2,2,1,2,3,3,0,3,5,3,6,0,1,1,2,0,2,1,2,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,0,1,1,1,1,1,3,0,0,2,3,2,2,1,1,0,1,3,0,1,2,2,3,0,0,0,3,4,2,0,1,1,1,0,0,1,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,3,1,0,0,0,1,1,1,0,0,3,5,1,0,1,3,2,5,0,1,1,4,1,1,1,2,4,1,2,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,2,3,0,0,1,2,1,1,1,0,1,1,2,1,1,0,3,5,0,0,1,5,3,0,0,2,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,2,3,2,1,2,2,0,4,1,2,2,0,1,2,1,1,0,2,1,3,0,0,1,2,0,1,1,4,2,0,1,0,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,2,0,2,3,0,2,2,3,3,0,4,2,2,3,1,1,0,1,1,0,2,4,1,1,1,1,1,2,0,1,1,3,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,0,1,0,0,0,1,1,0,5,1,1,1,0,1,1,0,4,0,1,0,1,3,1,3,2,0,6,1,2,2,2,1,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,2,2,1,1,0,0,3,4,1,1,2,1,2,1,1,3,1,2,2,0,1,2,2,3,2,2,0,2,0,2,1,3,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,2,1,0,2,1,2,1,1,1,1,0,0,2,3,1,1,0,1,0,0,1,2,2,1,0,3,0,2,3,2,0,3,1,1,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,4,1,2,2,3,1,1,1,2,0,1,0,0,3,1,0,1,1,0,3,1,0,0,5,4,2,1,1,0,3,1,1,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,3,5,4,0,0,2,0,1,0,0,0,1,1,3,0,0,2,2,1,0,1,1,1,2,3,1,1,2,0,1,4,2,3,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,1,1,1,3,1,2,1,1,2,1,2,0,1,2,1,2,0,3,3,1,2,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,0,3,1,0,0,4,0,2,0,1,0,3,4,0,2,1,1,2,2,2,2,2,2,2,2,3,0,1,0,0,2,2,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,1,0,4,1,3,2,2,0,0,1,0,1,2,3,3,1,1,0,1,1,1,0,1,2,0,2,1,2,3,2,3,0,1,2,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,1,3,3,3,0,4,2,1,3,0,1,2,0,3,0,0,0,0,1,4,1,4,3,2,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,1,1,1,1,2,2,1,1,3,2,4,0,1,2,4,1,1,2,0,1,3,1,2,0,1,1,0,0,3,2,2,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,3,1,0,1,3,0,2,0,1,1,0,1,3,3,0,1,1,0,0,2,1,3,1,2,0,0,2,2,1,3,0,3,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,2,0,3,0,0,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,1,1,0,1,4,0,3,3,1,1,4,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,2,1,0,4,2,1,2,3,0,1,0,2,1,0,1,0,0,4,0,1,2,3,0,1,0,3,2,2,4,1,0,1,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,1,2,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,1,1,2,2,0,1,3,1,2,3,2,1,1,2,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,2,1,0,3,1,2,0,3,2,2,0,4,1,0,1,1,3,0,3,2,2,0,0,2,3,1,0,2,3,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,2,1,1,3,1,2,2,2,2,0,0,1,2,2,1,1,0,1,3,2,3,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,2,1,0,3,2,3,0,1,1,3,2,4,1,0,1,0,2,0,1,0,1,5,1,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,3,1,2,2,2,0,0,0,2,0,4,3,3,1,0,3,2,0,1,2,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,1,2,2,3,1,0,1,2,3,0,1,0,6,3,3,3,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,5,2,1,0,1,1,0,0,0,1,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,4,0,0,1,1,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,2,2,1,0,2,0,2,2,1,1,2,1,0,2,0,1,4,1,0,3,1,2,0,0,5,1,0,4,0,2,3,1,0,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,1,2,3,2,2,3,2,3,2,0,1,1,2,2,0,0,2,1,3,0,0,1,1,2,0,1,0,0,0,0,1,0,5,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,3,1,0,0,2,0,2,2,1,1,3,2,0,0,1,1,2,2,6,3,2,2,4,0,0,2,0,2,2,0,1,0,3,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,1,1,3,0,0,0,3,2,2,2,1,2,1,2,1,0,0,0,0,1,1,0,0,1,2,1,1,3,0,1,4,1,4,3,2,3,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,4,2,4,0,0,3,2,1,2,2,2,3,1,2,0,2,3,1,3,1,0,1,3,1,1,0,0,1,1,0,3,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,3,1,1,1,2,1,0,1,1,0,0,3,1,1,1,4,3,2,2,1,4,1,0,4,0,0,2,3,3,0,1,0,1,0,1,0,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,0,0,1,1,4,2,2,2,2,0,3,1,3,0,2,1,0,2,3,0,1,0,2,2,1,1,1,2,0,1,0,5,2,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,6,1,0,1,2,2,2,0,4,0,3,2,1,0,3,1,1,2,1,2,0,3,2,0,1,2,0,2,1,2,2,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,1,1,2,1,2,2,0,0,2,1,1,0,0,2,5,2,0,2,1,2,2,2,3,1,1,1,3,0,1,3,4,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,3,0,0,2,2,2,1,0,1,0,0,1,0,2,2,0,1,2,2,2,1,0,2,5,1,1,0,2,2,2,1,1,3,2,3,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,3,0,1,0,0,2,1,1,1,1,3,4,1,0,4,4,1,2,4,2,2,1,1,1,0,1,2,0,2,2,0,1,1,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,1,1,0,1,0,2,0,2,2,1,0,2,1,1,3,5,0,2,2,2,2,2,3,0,1,3,1,1,0,2,1,2,0,0,0,3,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,2,0,0,1,0,3,4,2,0,1,2,3,0,1,0,6,0,0,1,1,3,1,1,1,3,1,4,1,2,4,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,2,0,2,0,3,0,0,0,1,0,2,0,2,4,0,3,1,4,1,1,2,0,2,1,3,4,1,2,4,2,2,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,4,1,1,1,3,2,2,3,2,2,1,2,0,1,3,1,0,0,2,2,1,1,0,0,3,1,1,0,2,2,1,1,1,1,0,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,3,1,2,1,1,0,3,3,0,2,0,3,1,2,1,1,1,0,0,1,2,1,3,1,1,2,3,3,2,1,1,1,2,2,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,1,1,1,0,3,0,2,1,1,2,1,1,2,4,2,2,4,0,0,1,1,1,3,3,1,0,1,3,4,0,1,0,1,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,1,0,2,1,0,2,0,0,0,0,0,1,2,3,1,2,3,3,0,4,5,3,6,0,1,1,2,0,2,1,2,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,0,1,1,1,1,1,3,0,0,2,3,2,2,1,1,0,1,3,0,1,2,2,4,0,0,0,3,4,2,0,1,1,1,0,0,1,4,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,3,3,1,0,0,0,1,1,1,0,0,3,5,1,0,1,3,2,5,0,1,1,4,1,1,1,2,4,1,2,2,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,3,1,2,3,0,1,1,2,1,1,1,0,1,1,2,1,1,0,3,5,0,0,1,5,3,0,0,3,2,1,0,1,2,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,2,3,2,1,2,2,0,4,1,2,2,0,1,2,1,1,0,2,1,4,0,0,1,2,0,2,1,4,2,0,1,0,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,2,0,2,3,0,3,2,3,3,0,4,2,2,3,1,1,0,1,1,0,2,4,1,1,1,1,1,2,0,1,1,3,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,0,1,0,0,0,1,1,0,6,1,1,1,0,1,1,0,4,0,1,0,1,3,1,3,2,0,6,1,2,2,2,1,0,3,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,2,2,1,1,0,0,3,4,1,1,2,1,2,1,1,3,1,2,2,0,1,2,2,4,3,2,0,2,0,2,1,3,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,3,2,1,0,2,1,2,1,1,1,1,0,0,2,3,2,1,0,1,0,0,1,2,2,1,0,3,0,2,3,2,0,3,1,2,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,4,1,2,2,3,1,1,1,2,0,1,0,0,4,1,0,2,1,0,3,1,0,0,5,4,2,1,1,0,3,1,1,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,1,3,5,4,1,0,2,0,1,0,0,0,1,1,3,0,0,2,2,1,0,1,1,1,2,3,1,1,2,0,1,4,2,3,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,6,1,1,1,1,5,1,1,1,1,3,2,2,1,1,2,1,2,0,1,2,1,2,0,3,3,1,2,0,2,0,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,1,0,3,1,0,0,4,0,2,0,1,1,3,4,0,2,1,1,2,2,2,2,3,2,2,2,3,0,1,0,0,2,2,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,1,0,4,1,3,2,2,0,0,1,0,1,2,4,3,1,1,0,1,1,1,1,1,2,0,2,1,2,3,2,3,0,1,2,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,3,3,3,0,4,2,1,3,0,1,2,1,3,0,0,0,0,1,4,1,4,3,2,1,0,1,1,2,1,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,1,1,1,1,2,2,1,1,3,3,4,0,1,2,4,1,1,2,0,1,3,1,2,0,1,1,1,0,3,2,2,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,3,1,0,1,3,0,2,0,1,1,0,1,3,3,0,1,1,0,0,3,1,3,1,2,0,0,2,2,1,3,0,4,1,3,3,1,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,2,0,4,0,1,2,1,1,1,1,1,3,0,1,0,3,1,1,2,0,0,1,1,1,0,1,4,0,3,3,1,1,4,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,2,2,1,0,4,2,1,2,3,1,1,0,2,1,0,1,0,0,4,0,1,2,3,0,1,1,3,2,2,4,1,0,1,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,1,2,4,2,1,0,1,1,0,2,3,0,1,1,0,3,2,1,1,2,2,1,1,3,1,2,3,2,1,2,2,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,2,1,0,3,1,2,0,3,2,2,0,4,1,0,1,1,3,0,3,2,2,1,0,2,3,2,0,2,3,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,2,2,1,4,1,1,0,2,1,1,0,1,1,2,1,1,3,1,2,2,2,2,1,0,1,2,2,1,1,0,1,3,2,3,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,3,1,1,0,0,1,1,1,1,2,3,1,2,1,0,4,2,3,0,1,1,3,2,4,1,0,1,0,3,0,1,0,1,5,1,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,2,1,0,1,3,0,0,1,2,0,4,2,1,1,3,1,2,2,2,0,0,0,2,0,4,3,3,1,0,3,2,0,1,2,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,0,1,0,0,2,6,1,1,2,1,0,1,1,1,2,2,3,1,0,2,2,3,0,1,0,6,3,3,3,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,5,2,1,0,1,1,0,1,1,1,4,0,1,3,2,2,2,1,2,2,1,2,1,2,1,1,1,0,1,1,1,2,4,0,0,1,1,2,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,2,2,2,1,0,2,0,2,2,1,1,2,1,0,2,0,1,4,1,0,4,1,2,0,0,5,1,0,4,0,2,3,2,0,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,1,2,3,2,2,3,2,3,2,0,1,1,2,2,0,0,2,1,3,0,0,1,1,2,0,2,0,0,1,0,1,0,5,3,1,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,3,1,0,0,2,0,2,2,1,2,3,2,0,0,1,1,2,2,6,3,2,2,4,0,0,2,0,2,2,0,2,0,3,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,30,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,30,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,15,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,15,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,30,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,15,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,15,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,15,0,15,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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