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1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0
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1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
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1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
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1,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
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0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
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1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
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0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
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1,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
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2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
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1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0
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0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
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1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
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0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0
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0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0
2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
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0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0
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0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
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1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
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1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0
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0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0
0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
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1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
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0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0
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0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0
2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
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0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
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1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
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0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0
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1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0
0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0
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1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
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0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0
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1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0
2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,0,0,0,2,0,3,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
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0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0
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0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
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0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0
0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0
0,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0
0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,3,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0
0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,0
2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,0,0,0,2,0,3,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
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0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
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0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,3,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0
0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
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0,0,0,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
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0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0
0,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0
0,2,0,0,2,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,3,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0
0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,0,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,2,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,3,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0
0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0
0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0
0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0
0,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0
0,2,0,0,2,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,3,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0
0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,1,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0
0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,2,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
1,0,0,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0
0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,1,0,0
1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,3,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,1,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,2,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0
0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0
1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0
0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,2,1,1,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0
0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,2,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,3,2,1,0,0
1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,1,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0
0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,3,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,1,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,2,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0
0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0
0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,3,3,1,0,0
1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,3,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,1,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0
0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,2,0,0
0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,1,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,3,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,2,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0
0,1,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,2,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0
0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,0,2,1,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,3,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,3,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,3,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,2,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,1,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,3,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,2,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,0,1,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,3,3,1,0,0
1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,3,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,3,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,3,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,1,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0
0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,3,0,0
0,0,1,0,1,0,0,2,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,2,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,3,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0
0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,3,0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,2,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0
0,1,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,2,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,3,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0
0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,0,2,1,1,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,3,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,3,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,3,0,0,0,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,1,1,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,3,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,2,4,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,0,1,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,3,3,1,0,0
1,0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,3,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,3,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0
0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,3,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,2,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0
0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,3,0,0
0,0,1,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0
0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,1,0,0,0,2,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,1,0,2,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,3,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,3,0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
0,1,0,2,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,3,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,3,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,1,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,2,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0
0,1,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,2,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,3,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
1,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0
0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,0,2,1,1,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,3,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,1,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0
1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0
1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,3,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,2,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,3,0,0,0,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,2,0,1,0,1,1,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,3,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,2,0,2,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,1,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,2,4,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0
2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,3,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,2,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,2,1,0,2,0,0,1,0,1,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,3,3,1,1,0
1,0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0
1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,3,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0
0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,3,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,3,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,1,3,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,3,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,2,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,1,3,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0
0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,3,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,2,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,0,0,3,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0
0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,0
0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,3,0,0
0,0,1,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,3,0,0,0,0,0,1,0,1,0,1,0
0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,2,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,2,0,0,0,2,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,1,0,2,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,3,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,1,3,0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
0,1,0,2,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,3,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,3,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,3,0,1,1,1,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,1,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,4,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,3,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0
0,1,1,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,1,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,3,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
1,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0
0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,1,1,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,2,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,1,0,1,0,2,1,1,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,3,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,2,1,0,1,1,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0
1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,2,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0
1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,3,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,3,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,3,2,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0
1,0,0,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,2,1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,2,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,3,0,0,0,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,2,1,1,0,0
0,0,0,0,2,3,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,2,0,1,0,1,1,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,3,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,2,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,2,0,2,1,0,1,2,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,1,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,2,4,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0
2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,4,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,2,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,2,1,0,2,0,0,1,0,1,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,2,0,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,3,3,1,1,0
1,0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0
1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,3,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0
0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,3,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,3,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0
0,0,0,1,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0
0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,3,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,2,2,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,3,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,3,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,1,4,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,1,1,3,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,2,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0
1,1,0,2,3,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,1,3,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0
0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,3,1,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,2,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,0,0,2,0,0,0,0,0,2,1,0
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,1,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,3,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,3,2,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,2,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,0,0,3,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0
0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,2,1,0
0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,3,0,0
0,0,1,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,3,0,0,1,0,1,0,0,3,0,1,0,0,0,1,0,1,0,1,0
0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,2,1,0,0,0
2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0
0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0
0,0,0,2,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,2,0,1,3,3,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0
2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,1,2,0,0,0,2,0,0,2,0,3,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,1,0,0,0,3,1,0,2,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,1,1,1,0,3,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0
0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,2,3,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0
1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0
1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,1,3,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,2,1,1,0
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0
0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,3,0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
0,1,0,2,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,3,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0
0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,1,2,0,0,1,1,3,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,3,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,3,0,1,1,1,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,0,0,1,1,3,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0
0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,4,0,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,3,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,3,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0
1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,1,2,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0
0,1,1,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0
1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,2,0
1,0,0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,1,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,1,2,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,1,1,1,0,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,2,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,3,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,3,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,2,0,0,0,0,2,0,1,2,0,0,2,0,0,0
0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0
1,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0
1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,1,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0
0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0
0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0
1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0
0,0,0,1,1,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0
0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,3,0,2,0,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,3,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,1,0,1,0,2,1,1,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,3,1,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,1,0,3,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0
1,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,3,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,2,1,0,1,1,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0
1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,2,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,2,1,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,2,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0
1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,2,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0
1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,3,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,2,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,3,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,3,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,3,2,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0
0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0
1,0,0,1,1,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0
0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,1,1,2,0,0,0,3,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,2,1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,1,2,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,1,0,1,0,2,0,1,0,0,0,1,1,3,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,3,0,0,0,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,1,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,2,1,2,0,0
0,0,0,0,2,3,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,1,0,0
0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,2,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0
0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,3,1,0,0,1,1,0,2,3,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0
1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,3,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,2,0,1,0,1,1,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0
0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,0,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,3,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0
0,1,2,1,0,0,0,0,0,1,2,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,3,0,2,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,2,0,1,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,2,0,2,1,0,1,2,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,3,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0
1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,0,0,3,0,1,2,1,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,1,0,0,1,2,1,1,1,0
0,1,0,0,0,1,1,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,3,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,2,5,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,3,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0
2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0
0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0
0,2,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,4,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,1,2,1,0,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,1,2,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,2,1,0,2,0,0,1,0,1,0,0,2,0
0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,2,0,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,2,3,0,0,0,0,2,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,3,3,1,1,0
1,0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,2,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0
1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,1,2,2,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,3,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,3,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,3,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0
0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0
0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,3,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,3,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,3,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0
0,0,0,1,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0
0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,3,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,4,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,0,1,0,2,3,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0
0,0,0,1,2,0,1,1,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,2,2,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,4,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0
0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,3,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,3,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,3,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,1,0,2,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0
0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,1,4,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,3,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,1,0,0,0,1,0,0,0,0,1,0,1,1,3,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,2,2,3,1,0,0,1,0,0,0,0,1,0,0,0,0
2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,2,1,0,1,0,0,1,0,0
1,1,0,2,3,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,3,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,1,3,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0
0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,3,1,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0
1,0,0,1,0,0,0,2,0,2,0,1,2,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,1,0,2,0,0,0,0,0,2,1,0
0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,1,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0
1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,3,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,1,0,1,3,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,2,0,0,0,1,0,0
3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0
0,2,0,0,2,1,0,0,2,0,1,2,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0
0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,2,3,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,3,2,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,2,1,0,1,2,0,0,0,2,0,0,0,0,0,0
0,0,1,0,0,3,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,0,0,3,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0
0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,2,1,0
0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0
0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,3,0,0,1,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,3,0,0
0,0,1,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,3,2,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,3,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0
1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,3,0,0,1,0,1,0,0,3,0,1,0,0,0,1,0,1,0,1,0
0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,2,0,2,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,1,0
2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0
0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,3,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,4,0,1,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0
1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,3,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0
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1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,2,0,1,3,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,3,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,0,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,1,3,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,3,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,3,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,3,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,2,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,0,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,4,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,1,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,2,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,1,3,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,3,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,3,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,4,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,3,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,3,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,0,1,1,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,3,2,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,1,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,2,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,2,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,4,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,0,2,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,3,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,3,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,1,3,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,3,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,2,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,3,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,1,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,2,2,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,4,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,3,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,2,0,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,0,1,1,0,0,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,3,2,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,1,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,4,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,3,0,1,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,1,3,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,2,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,0,3,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,3,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,2,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,0,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,2,2,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,4,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,3,0,0,3,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,2,1,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,1,2,0,0,0,2,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,0,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,3,2,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,1,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,2,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,4,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,2,0,0,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,3,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,1,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,3,0,1,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,2,1,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,1,3,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,2,2,0,1,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,3,1,1,1,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,0,3,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,3,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,3,0,0,2,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,0,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,2,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,4,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,3,0,0,3,0,1,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,2,1,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,3,2,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,2,1,2,0,0,0,2,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,4,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,0,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,3,2,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,1,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,0,0,0,2,0,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,2,0,0,2,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,2,0,0,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,3,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,3,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,3,0,1,1,0,1,2,0,1,1,1,0,0,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,1,0,2,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,1,1,1,0,0,0,1,1,2,0,2,0,1,3,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,2,2,0,1,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,3,1,1,1,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,0,3,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,3,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,3,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,3,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,3,0,0,2,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,3,0,0,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,1,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,2,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,2,0,1,1,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,2,2,1,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,3,2,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,2,0,1,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,4,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,3,2,1,0,1,1,1,0,0,0,0,0,0,1,3,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,3,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,1,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,2,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,0,0,0,2,0,0,2,1,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,2,0,0,2,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,0,3,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,0,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,2,0,0,2,0,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,3,0,1,0,2,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,3,0,0,0,1,1,0,1,0,0,0,0,1,1,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,3,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,3,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,2,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,3,0,1,1,0,1,2,0,1,1,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,2,1,2,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,1,1,1,0,0,0,1,1,2,0,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,0,2,2,0,1,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,3,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,1,1,1,0,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,2,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,3,1,1,1,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,0,3,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,3,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,3,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,3,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,3,0,1,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,3,0,0,2,1,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,3,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,3,0,0,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,1,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,4,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,2,2,1,2,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,3,2,1,0,3,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,2,0,1,0,1,1,0,2,0,0,1,1,0,3,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0,1,3,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,3,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,2,1,1,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,1,1,2,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,2,0,0,0,2,0,0,2,1,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,2,0,0,2,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,2,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,2,0,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,3,0,0,1,1,1,0,1,0,0,0,0,1,1,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,3,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,2,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,0,1,1,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,2,2,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,3,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,2,1,2,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,3,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,2,2,0,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,3,1,0,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,0,1,3,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,2,0,1,1,1,0,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,0,2,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,2,2,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,0,3,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,1,0,3,0,0,1,1,0,2,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,3,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,3,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,3,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,2,0,1,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,3,0,1,0,1,1,0,2,1,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,3,0,0,2,1,0,1,0,2,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,0,3,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,1,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,4,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,2,2,1,2,0,0,1,0,0,0,2,2,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,3,2,1,0,3,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,1,0,3,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0,1,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,3,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,0,1,0,2,0,0,0,0,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,1,0,2,1,1,2,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,2,0,0,0,2,0,0,2,1,2,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,0,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,2,1,0,0,1,2,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,3,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,0,2,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,2,0,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,3,0,0,1,1,1,0,1,0,0,0,0,1,1,3,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,3,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,2,2,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,0,2,1,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,4,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,3,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,2,1,2,0,0,1,0,1,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,2,0,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,3,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,2,2,0,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,0,1,2,1,0,2,1,2,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,0,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,1,0,2,0,0,0,1,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,1,0,0,2,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,2,2,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,2,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,2,1,1,0,0,3,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,0,1,1,0,3,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,1,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,3,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,0,0,1,0,0,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,3,0,1,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,0,2,1,0,1,0,2,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,1,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,4,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,3,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,2,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,1,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,2,2,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,0,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,1,0,3,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,1,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0,1,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,3,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,1,1,0,0,0,0,0,0,3,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,2,0,0,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,1,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,2,1,1,2,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,3,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,0,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,2,0,0,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,2,1,0,0,1,2,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,4,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,0,2,1,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,3,0,0,1,1,1,0,1,0,0,0,0,1,1,3,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,0,0,0,2,0,1,1,2,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,3,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,2,2,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,0,2,1,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,2,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,4,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,1,0,1,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,2,3,1,1,0,0,0,0,1,1,2,1,2,0,0,1,1,1,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,4,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,2,0,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,3,1,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,2,2,0,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,0,1,2,1,0,2,1,2,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,0,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,1,0,2,0,0,0,2,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,1,0,0,2,2,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,2,2,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,2,2,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,2,1,1,0,0,3,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,1,1,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,1,2,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,0,1,1,0,3,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,2,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,2,0,2,1,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,3,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,0,0,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,2,1,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,3,0,1,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,0,2,1,0,1,0,2,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,0,0,0,2,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,0,0,0,1,0,0,2,3,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,0,1,3,1,2,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,1,2,2,2,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,4,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,3,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,2,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,2,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,2,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,1,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,2,0,3,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,1,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0,2,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,3,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,1,0,0,2,0,0,1,0,0,3,1,0,1,1,0,0,0,0,0,0,3,0,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,2,0,0,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,1,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,3,1,0,2,1,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,2,1,1,2,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,3,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,0,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,2,0,1,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,0,4,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,1,0,0,2,0,0,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,2,1,0,0,1,2,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,3,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,0,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,4,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,1,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,3,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,0,2,1,1,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,0,0,1,0,0,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,0,1,3,0,0,1,1,1,0,1,0,0,0,0,2,1,3,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,2,0,0,2,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,0,0,2,0,1,1,2,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,3,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,2,2,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,2,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,3,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,0,2,1,1,0,2,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,2,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,0,0,4,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,1,1,1,2,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,2,3,1,1,0,0,0,0,1,1,2,1,3,0,0,1,1,1,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,2,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,4,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,2,1,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,0,0,1,0,0,0,1,0,0,3,1,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,2,2,0,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,1,1,2,1,0,2,1,2,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,1,1,2,0,0,0,2,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,1,0,0,3,2,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,2,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,0,0,2,0,2,0,0,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,2,2,2,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,1,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,3,1,1,0,0,3,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,1,1,1,2,0,1,0,0,1,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,1,2,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,0,1,1,0,3,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,3,0,0,0,0,2,0,2,1,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,3,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,0,0,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,2,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,2,1,0,1,0,0,0,0,1,1,0,3,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,3,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,2,0,3,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,3,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,3,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,3,0,2,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,0,2,1,0,1,0,2,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,2,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,3,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,0,0,0,2,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,1,0,0,1,0,0,2,3,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,0,1,0,0,1,3,1,2,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,1,2,2,2,1,0,0,1,0,1,0,0,1,2,0,1,0,1,2,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,3,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,4,0,0,0,1,1,0,0,3,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,3,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,0,1,1,2,2,0,2,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,2,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,2,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,3,2,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,2,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,4,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,3,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,2,0,0,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,2,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,1,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,2,0,3,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,1,0,0,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,1,1,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,2,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,2,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,3,0,0,0,3,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,2,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,3,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,2,0,1,1,0,0,2,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,3,2,1,1,1,2,1,0,0,0,0,0,0,2,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,3,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,2,0,0,2,0,0,1,0,0,3,1,0,1,1,0,0,0,0,0,0,3,0,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,3,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,3,1,0,0,0,1,1,1,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,1,0,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,3,1,0,2,1,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,2,1,1,2,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,3,0,0,3,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,0,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,2,0,1,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,0,5,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,3,0,1,0,0,0,1,0,1,1,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,1,2,0,1,0,0,0,1,0,0,2,0,0,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,2,1,0,0,1,2,0,1,2,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,3,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,1,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,4,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,2,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,4,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,0,2,1,1,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,0,1,3,0,0,2,1,1,0,1,0,0,0,0,2,1,3,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,1,1,1,1,0,2,0,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,2,0,0,2,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,2,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,0,0,2,0,1,1,2,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,3,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,3,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,2,2,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,0,1,0,2,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,2,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,2,3,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,1,2,1,1,0,2,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,2,0,0,2,1,2,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,3,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,0,0,4,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,2,2,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,1,1,1,2,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,2,3,1,1,0,0,0,0,1,1,2,1,3,0,0,1,1,1,2,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,2,1,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,4,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,2,0,0,2,2,1,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,1,0,0,0,2,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,3,1,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,3,2,1,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,3,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,1,1,2,1,0,2,2,2,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,2,1,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,3,1,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,1,1,2,0,0,0,2,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,2,0,1,1,0,0,3,2,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,2,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,3,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,0,0,2,0,2,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,2,1,0,0,0,2,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,2,2,2,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,2,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,2,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,1,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,3,1,1,0,0,3,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,1,1,1,2,0,1,0,0,1,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,1,0,1,2,0,0,3,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,0,1,1,0,3,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,2,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,3,0,0,1,0,1,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,3,0,0,0,0,2,0,2,1,1,0,0,1,0,1,2,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,3,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,3,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,0,0,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,2,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,2,1,0,1,0,0,0,0,1,1,0,3,0,0,0,1,0,0,0,1,1,0,2,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,0,2,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,2,0,2,0,1,2,0,0,0,0,0,0,0,1,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,3,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,3,0,3,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,3,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,3,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,3,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,3,0,2,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,0,2,1,0,1,0,2,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,2,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,3,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,0,0,0,2,0,0,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,1,0,0,1,0,0,2,3,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,2,0,1,1,1,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,0,1,1,0,2,3,1,2,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,0,0,0,0,0,1,2,2,2,1,0,0,1,0,1,0,0,1,2,0,1,0,2,2,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,3,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,4,0,0,0,1,1,1,0,3,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,3,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,0,2,1,2,2,0,2,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,2,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,1,2,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,3,2,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,2,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,3,0,0,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,1,2,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,3,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,3,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,1,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,2,0,3,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,1,1,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,2,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,2,1,1,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,3,0,0,0,3,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,2,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,2,1,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,2,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,1,1,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,1,3,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,2,1,2,0,1,1,0,0,2,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,2,2,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,3,0,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,3,2,1,1,1,2,1,0,0,0,0,0,0,2,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,2,0,0,1,0,0,2,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,3,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,2,0,0,2,0,0,1,0,0,3,1,0,1,1,0,0,0,0,0,0,3,0,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,2,0,1,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,3,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,3,1,0,0,0,1,1,1,1,2,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,1,0,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,3,1,0,2,2,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,2,2,1,2,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,3,0,0,3,1,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,1,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,2,0,1,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,2,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,0,0,0,5,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,3,0,1,0,0,0,1,0,1,2,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,0,1,0,0,0,0,3,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,1,0,1,0,2,0,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,1,2,0,1,0,0,0,1,0,0,2,0,0,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,3,1,0,0,1,2,0,1,2,2,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,3,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,1,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,4,0,1,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,2,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,4,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,0,2,2,1,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,1,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,2,2,0,0,1,1,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,2,0,0,0,0,1,3,0,0,2,1,1,0,1,0,0,0,0,2,1,3,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,1,1,1,1,0,2,0,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,2,0,0,2,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,2,0,2,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,0,0,2,0,1,1,2,2,0,0,0,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,3,0,2,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,3,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,2,3,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,0,1,0,0,1,0,2,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,1,1,0,1,2,0,2,0,1,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,3,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,1,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,1,0,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,3,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,3,2,3,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,1,2,1,2,0,2,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,2,0,0,2,1,2,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,2,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,2,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,1,2,0,0,0,0,2,0,1,0,0,0,1,1,0,3,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,0,0,4,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,2,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,2,2,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,1,1,1,2,0,1,1,1,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,2,3,1,1,0,0,0,0,1,1,2,1,3,0,0,1,1,1,2,1,1,2,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,3,1,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,4,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,1,2,0,1,0,1,3,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,2,1,0,2,2,1,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,1,2,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,0,2,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,3,1,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,1,1,1,1,1,0,0,0,1,4,2,1,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,1,1,3,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,1,1,2,1,0,2,2,2,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,2,2,0,2,1,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,2,3,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,2,1,1,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,3,1,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,0,2,0,1,1,1,1,1,1,2,0,0,0,2,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,2,0,1,1,0,0,3,2,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,2,1,1,2,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,3,0,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,0,0,2,0,2,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,2,2,0,0,0,2,0,1,2,0,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,2,2,2,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,2,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,2,0,2,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,1,0,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,1,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,3,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,3,1,1,0,0,3,0,0,0,1,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3,1,1,1,2,0,1,0,0,2,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,1,0,2,2,0,0,3,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,0,1,1,0,3,1,0,0,0,1,1,0,1,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,2,0,0,2,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,3,0,0,1,0,1,1,1,0,0,0,1,2,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,3,0,1,0,0,2,0,2,1,1,0,0,1,0,1,2,0,2,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,3,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,4,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,0,0,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,1,2,1,0,1,0,0,1,2,1,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,3,0,0,0,1,0,0,0,1,1,0,2,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,2,1,1,0,0,2,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,2,0,2,0,1,2,0,0,0,0,1,0,0,1,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,3,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,1,0,0,1,2,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,3,0,3,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,3,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,3,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,3,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,3,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,3,0,2,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,0,1,1,0,0,0,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,1,2,1,0,1,0,2,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,2,1,0,1,2,2,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,3,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,0,0,0,2,0,1,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,3,0,1,0,0,2,1,0,1,0,0,1,0,0,2,3,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,2,0,1,1,1,1,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,0,2,1,0,2,3,1,2,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,0,0,0,0,0,1,2,2,2,1,0,0,1,0,1,0,0,1,2,0,1,0,2,2,0,0,1,3,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,3,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,1,1,2,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,2,1,1,0,0,0,0,4,0,0,0,1,1,1,0,3,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,2,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,2,0,0,0,1,0,2,0,3,2,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,0,2,1,2,2,0,2,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,3,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,1,2,1,1,0,0,0,1,0,0,1,0,1,2,2,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,3,2,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,4,0,0,3,0,1,2,3,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,3,0,0,1,1,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,3,1,2,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,3,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,3,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,3,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,2,2,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,1,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,2,0,3,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,3,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,3,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,2,1,0,1,2,0,0,2,0,0,0,0,2,0,0,1,0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,2,1,1,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,3,0,0,0,3,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,2,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,2,1,2,0,1,0,1,2,2,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,2,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,1,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,0,1,3,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,2,1,2,1,1,1,0,0,2,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,2,2,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,2,1,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,3,1,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,3,2,1,1,2,2,1,0,0,0,0,0,0,2,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,2,0,0,1,1,2,0,0,1,0,0,3,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,3,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,2,0,0,2,0,0,1,0,0,3,1,1,1,1,0,0,0,0,0,0,3,0,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,2,0,1,1,1,1,3,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,3,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,3,1,0,0,0,1,1,1,1,2,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,2,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,3,1,0,2,2,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,2,0,0,1,0,0,1,0,1,2,1,0,2,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,1,1,1,1,0,2,2,1,2,0,1,2,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,3,0,0,3,1,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,2,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,1,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,2,0,1,0,3,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,1,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,2,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,1,0,0,5,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,3,0,1,0,0,0,1,0,1,2,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,0,1,0,0,0,0,3,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,1,0,1,0,2,0,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,1,2,0,1,0,0,0,2,0,0,2,0,0,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,3,1,1,0,1,2,0,1,2,2,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,3,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,3,1,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,4,0,1,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,2,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,0,2,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,4,1,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,2,0,2,2,1,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,1,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,2,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,2,2,0,0,1,1,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,3,0,1,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,0,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,2,0,0,0,0,1,3,0,0,2,1,1,0,1,0,0,0,0,2,1,3,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,1,1,1,1,0,2,0,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,2,0,0,2,0,0,0,0,1,3,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,2,0,2,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,0,0,2,0,1,1,2,2,0,0,0,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,3,0,2,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,3,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,2,3,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,3,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,0,1,0,0,1,0,2,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,1,1,1,0,1,2,0,1,1,2,0,0,3,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,1,1,1,0,1,2,0,2,0,1,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,2,1,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,3,1,0,1,0,2,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,1,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,1,0,0,0,2,0,1,1,3,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,2,1,2,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,3,3,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,3,2,3,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,3,0,1,1,0,1,2,1,2,1,2,0,2,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,1,0,2,2,1,0,2,1,2,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,2,1,0,1,1,1,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,2,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,2,2,2,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,3,1,1,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,1,2,0,0,0,0,2,0,1,0,0,0,1,1,0,3,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,3,1,0,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,0,0,0,4,2,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,0,0,2,2,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,2,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,2,3,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,2,0,2,2,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,1,1,1,2,0,1,1,1,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,2,3,1,1,0,0,0,0,1,1,2,1,3,0,0,1,1,1,2,1,1,2,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,3,1,0,0,1,1,0,1,1,0,1,1,0,2,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,3,1,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,4,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,0,1,0,2,0,1,1,0,1,3,1,0,0,1,1,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,2,1,0,0,0,1,2,0,1,0,1,3,0,1,0,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,2,2,1,0,0,1,1,0,2,2,2,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,1,1,3,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,1,2,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,2,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,0,2,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,2,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,1,2,0,2,0,2,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,3,1,2,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,1,0,0,2,1,1,1,1,1,1,0,0,1,1,4,2,1,2,0,1,4,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,0,0,0,4,0,0,0,0,0,0,0,0,2,1,1,3,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,3,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,1,2,2,0,1,0,0,0,0,0,1,1,2,1,0,2,2,2,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,2,2,0,2,1,0,0,0,2,2,0,0,0,3,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,2,3,0,0,0,0,0,0,1,3,2,1,2,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,1,0,0,0,2,1,1,0,0,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,3,1,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,0,3,0,1,1,1,1,1,1,2,0,0,0,2,2,0,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,3,2,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,2,0,1,1,0,0,3,2,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,2,1,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,2,1,1,2,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,3,1,0,3,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,1,1,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,0,0,2,0,2,0,0,2,0,0,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,2,2,0,0,0,2,0,1,2,0,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,3,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,3,1,1,2,2,0,2,0,1,0,0,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,2,2,2,2,1,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,3,2,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,0,1,0,1,0,1,0,2,1,0,1,1,0,2,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,2,0,2,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,2,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,3,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,2,2,0,1,2,0,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,1,0,0,1,2,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,2,1,3,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,0,0,3,1,1,0,0,3,0,0,0,1,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,3,1,1,1,2,0,1,0,0,2,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,1,0,2,2,0,0,3,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,3,0,1,1,1,0,3,1,0,0,0,1,1,0,1,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,2,0,0,2,0,0,2,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,3,0,0,1,0,1,1,1,0,0,0,1,3,1,0,0,0,3,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,0,1,1,1,0,1,1,0,0,1,3,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,3,0,1,0,0,2,0,2,1,1,0,0,1,0,1,2,0,2,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,2,2,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,3,0,0,2,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,4,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,0,1,0,0,0,0,0,1,0,1,3,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,1,2,0,0,0,1,0,1,2,1,0,1,0,0,1,2,1,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,2,0,1,2,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,0,2,1,0,1,0,1,0,0,1,1,0,3,0,0,0,2,0,0,0,1,1,0,2,2,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,2,1,1,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,3,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,1,0,0,1,0,0,0,2,2,0,2,0,1,2,0,0,0,0,1,0,0,1,1,2,0,0,2,3,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,0,1,0,1,0,1,0,3,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,1,1,1,0,3,0,0,1,0,0,1,2,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,4,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,0,1,1,0,1,1,2,1,0,0,0,0,0,1,0,0,2,2,2,0,3,0,3,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,3,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,0,1,0,1,0,2,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,3,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,3,0,1,0,0,0,3,1,0,0,1,0,1,1,0,0,0,0,0,1,3,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,3,2,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,3,0,2,0,1,1,0,2,1,1,1,1,0,2,2,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,3,0,1,1,0,0,0,1,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,0,2,0,1,1,3,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,2,3,1,1,2,1,0,1,0,2,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,2,1,0,1,2,2,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,3,0,1,0,3,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,0,0,0,2,0,1,1,0,1,1,1,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,3,0,1,0,0,2,1,0,1,0,0,1,0,0,2,3,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,2,0,1,1,1,1,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,1,0,2,1,0,2,3,1,2,1,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,2,1,0,1,1,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,0,0,0,0,0,1,3,2,2,1,0,0,1,0,1,0,0,1,2,0,1,0,2,2,0,0,1,3,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,2,1,1,1,0,0,3,1,0,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,3,0,0,0,1,1,0,0,1,1,1,0,3,0,0,0,2,0,0,0,1,1,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,1,2,0,0,2,1,1,2,0,0,1,0,0,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,1,0,1,2,3,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,2,1,1,0,0,1,0,4,0,0,0,1,1,1,0,3,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,2,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,4,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,2,1,1,1,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,1,1,0,1,1,2,0,0,0,1,0,2,0,3,2,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,1,1,0,2,1,2,2,0,2,0,0,2,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,3,1,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,3,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,1,2,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,1,1,1,2,1,1,0,0,0,1,0,0,2,0,1,2,2,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,3,2,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,4,0,0,3,0,1,2,3,1,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,3,0,0,1,1,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,2,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,3,1,2,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,3,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,0,2,0,2,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,3,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,2,1,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,3,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,1,0,0,0,3,2,1,0,3,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,2,2,0,1,2,2,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,1,0,0,0,1,3,0,0,1,0,0,0,0,0,1,1,0,0,0,3,2,1,0,3,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,2,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,1,2,0,3,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,1,1,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,3,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,1,0,1,1,0,3,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,3,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,2,1,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,1,3,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,2,1,0,1,2,0,0,2,0,0,0,0,2,0,0,1,0,4,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,2,2,1,1,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,3,0,0,0,3,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,2,0,1,1,0,3,0,0,0,0,1,1,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,5,1,1,1,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,2,1,2,0,1,0,1,2,2,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,2,3,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,3,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,2,1,2,0,1,1,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,2,1,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,2,0,1,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,0,1,3,1,0,1,0,0,0,0,1,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,3,1,2,1,1,1,0,0,2,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,2,1,0,1,3,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,2,0,1,0,0,1,0,0,0,0,0,0,3,2,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,2,1,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,3,1,2,0,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,3,2,1,1,2,2,1,0,0,0,0,0,0,2,3,0,1,1,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,3,0,1,0,1,1,0,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,2,0,0,1,1,2,0,0,1,0,0,3,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,3,1,0,0,0,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,1,1,2,0,0,2,0,0,1,0,0,3,1,1,1,1,0,0,0,0,0,0,3,0,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,2,0,1,1,1,1,3,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,3,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,3,1,0,0,0,1,1,1,1,2,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,3,1,0,1,3,0,1,1,0,2,0,0,0,1,0,0,1,3,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,3,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,3,1,0,2,2,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,2,2,1,2,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,2,0,0,1,0,0,1,0,1,2,1,0,2,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,3,1,0,0,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,1,1,1,1,0,2,2,1,2,0,1,2,0,0,1,1,0,0,1,0,2,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,4,0,0,3,1,1,0,1,0,1,0,1,1,1,0,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,2,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,2,1,1,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,2,2,0,0,0,2,0,0,3,1,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,2,0,3,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,1,0,3,1,0,2,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,1,3,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,2,0,1,0,3,0,2,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,3,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,0,0,0,1,0,1,3,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,2,1,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,2,2,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,1,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,1,1,0,0,6,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,2,0,0,3,0,1,1,0,0,1,0,2,2,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,3,0,1,0,0,0,1,0,1,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,0,1,0,0,0,0,3,0,0,1,1,0,1,0,0,0,2,0,1,1,1,2,0,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,2,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,2,0,1,0,2,1,0,0,1,0,2,0,2,0,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,1,2,0,1,0,0,0,2,0,0,2,0,0,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,2,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,2,0,0,0,1,0,3,1,1,0,1,2,0,1,2,2,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,3,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,3,1,3,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,0,4,0,1,0,0,0,0,0,0,1,0,2,1,0,0,2,1,0,0,1,0,0,2,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,2,1,1,2,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,2,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,4,1,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,0,0,2,0,2,2,1,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,1,0,1,0,0,0,3,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,1,1,2,1,1,1,0,2,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,2,0,2,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,2,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,2,2,0,0,1,1,2,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,3,0,2,0,2,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,1,4,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,2,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,2,0,0,0,0,1,3,0,0,2,1,1,1,1,0,0,0,0,2,1,3,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,1,1,1,1,0,2,0,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,1,2,0,0,0,1,2,0,0,2,0,0,0,0,1,3,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,3,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,3,0,1,0,0,1,0,0,2,1,0,0,0,0,1,2,1,1,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,2,0,2,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,2,1,2,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,2,0,0,0,0,2,0,1,1,2,3,0,0,0,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,4,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,3,0,2,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,3,0,0,1,3,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,2,2,1,2,3,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,3,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,0,1,0,0,1,0,2,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,1,1,0,1,2,0,1,1,2,0,0,3,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,0,0,1,1,1,0,1,2,0,2,0,1,0,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,2,0,0,0,3,1,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,2,0,0,3,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,3,1,0,1,0,2,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,1,1,2,1,0,0,0,2,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,1,0,0,0,2,0,1,1,3,0,1,1,0,1,0,0,1,1,2,0,0,1,1,0,1,0,0,1,2,0,0,0,2,0,1,0,2,0,1,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,2,1,2,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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