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1,1,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,1,0,1,1,0,1,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,2,2,0,1,1,1,1,1,2,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,2,0,2,2,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,1,2,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,2,0,0,0,2,0,1,1,0,2,0,0,0,1,0,1,1,2,0,1,0,1,0,1,1,2,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,2,1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,2,0,0,1,0,0,1,2,0,1,1,0,1,1,1,0,1,0,1,2,0,0,1,1,0,2,1,1,2,1,1,1,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,2,1,2,0,2,2,0,1,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,1,0,1,1,1,1,1,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,2,2,1,1,2,1,0,2,0,1,1,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,2,2,0,0,0,1,2,1,0,0,2,1,2,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,1,0,1,2,1,0,0,0,1,0,2,0,1,0,1
2,0,0,0,1,1,1,0,0,2,2,2,1,2,0,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,1,1,0,0,1,0,0,2,2,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,2,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,1,1,0,1,0,0,2,0,1,1,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,2,2,1,0,2,0,0,0,2,0,0,2,0,2,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,2,1,2,1,1,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,2,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,2,0,0,2,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,1,0,1,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,0,1,0,0,1,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,2,1,2,2,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,2,1,0,0,1,0,0,0,2,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,2,0,1,0,1,0,0,1,2,1,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,2,2,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,0,1,1,0,0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,2,1,1,1,1,0,2,0,0,0,1,1,1,0,0,1,2,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,2,1,2,0,1,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1
1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,2,2,0,0,0,1,0,2,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,2,0,1,0,1,1,0,1,1,1,2,0,0,0,2,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,1,0,1,0,1,0,1,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,1,2,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,2,1,1,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,2,1,1,2,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,2,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,1,2,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,2,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,1,2,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,2,1,0,1,1,0,2,0,0,0,1,1,0,0,0,2,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,1,1,1,2,1,0,0,1,0,2,0,2,0,1,2,0,0,1,0,2,0,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,1,0,1,1,2,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,2,0,1,0,2,1,1,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,2,2,0,0,0,1,0,1,0,1,2,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1
1,0,2,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,2,1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,1,0,2,0,0,1,0,0,2,0,2,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,2,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,1,0,0,0,1,0,1,1,0,2,0,1,2,2,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,2,2,1,1,1,1,0,0,1,1,2,2,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,2,0,1,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,2,0,2,1,0,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,2,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,1,0,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,2,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,2,0,0,2,2,1,0,0,1,1,0,1,2,2,0,0,2,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1
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1,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,2,1,0,2,1,2,1,1,2,0,0,0,0,2,2,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,2,2,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,2,1,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,2,0,0,1,0,0,0,1,0,0,1,2,1,1,1,1,2,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,2,0,2,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,2,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,2,1,2,0,0,0,0,1,1,0,2,2,0,0,2,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,2,0,2,0,0,1,0,0,1,1,2,1,1,0,0,2,0,2,1,2,2,1,1,1,0,1,1,0,0,2,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,2,1,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1
2,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,2,0,1,2,1,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,1,1,1,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,1,2,2,0,0,2,0,0,2,1,0,1,0,1,0,2,1,1,1,0,0,1,1,0,0,0,2,2,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,1,1,0,2,2,0,2,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,2,0,2,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,2,0,1,0,1,1,0,0,1,0,2,1,0,2,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,2,0,0,0,1,2,2,1,1,0,1,0,2,1,1,0,1,1,1,1,0,0,2,0,0,1,1,1,1,1,0,2,1,0,2,0,0,1,0,0,1,1,0,0,0,1,1,2,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,1,2,1,1,0,1,1,0,1,1,1,1,1,2,1,0,1,2,0,1,1,0,2,2,0,0,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,2,2,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,1,0,2,0,0,1,1,2,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1
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1,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,1,0,0,2,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,2,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,1,1,1,0,0,1,0,1,1,0,2,1,0,2,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,0,0,1,0,1,0,1,0,1,0,2,2,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,2,2,0,0,0,0,1,2,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,0,2,2,0,2,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,2,2,1,1,1,0,1,1,0,0,1,0,0,0,2,1,2,1,1,0,1,1,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,0,1,2,1,0,2,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,1,1,2,1,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,2,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,2,1,2,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,2,0,0,0,1,1,1,2,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,2,1,0,0,0,0,0,2,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,0,0,1,1,0,0,2,2,2,1,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,1,2,1,1,1,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0
1,0,2,0,1,1,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,2,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,2,1,0,1,0,1,2,1,0,1,2,1,0,1,0,1,1,0,0,2,0,1,1,2,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,1,1,0,1,2,0,1,0,2,1,0,1,1,0,1,0,2,1,1,0,0,2,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,2,1,0,1,1,1,1,1,1,2,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,2,1,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,2,1,2,2,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,2,0,1,1,1,1,0,0,1,0,0,1,0,2,1,1,1,2,0,0,1,1,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,2,2,1,1,1,1,0,0,1,1,2,1,2,0,2,0,0,1,2,1,1,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,2,1,0,2,0,0,1,0,2,1,0,0,1,1,2,0,1,0,0,0,2,1,2,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,2,0,1,0,0,1,2,0,0,2,2,0,0,0,1,0,0,0,1,2,0,0,0,1,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0
1,0,1,2,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,0,0,2,1,0,0,1,2,1,0,1,2,0,1,1,1,0,2,0,2,1,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,2,2,1,0,0,0,1,2,0,0,1,0,1,0,2,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,1,2,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,2,1,1,0,0,0,0,2,2,2,0,1,0,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,2,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,2,1,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,2,0,0,1,1,2,1,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,2,2,0,1,0,2,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,2,1,1,1,2,0,0,0,0,1,0,1,2,0,1,1,0,2,1,0,1,1,1,0,2,0,1,1,1,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,2,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,1,2,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,2,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,1,2,0,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,2,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,2,1,0,0,1,1,1,2,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0
1,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,2,1,1,0,1,1,1,0,1,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,1,0,1,0,0,1,1,0,2,1,1,0,2,0,1,0,2,0,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,2,2,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,1,2,0,1,2,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,2,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,2,1,0,1,2,1,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,2,1,1,0,2,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,2,2,0,0,0,0,0,1,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,2,2,0,0,2,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,2,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,2,0,2,0,1,0,0,2,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,0,0,0,2,0,0,1,0,0,1,2,1,1,0,0,0,2,0,0,2,1,0,0,1,2,1,0,0,0,2,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,2,0,1,1,1,0,0,0,0,1,1,0,2,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,2,2,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,2,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,0,0,1,1,1,0,0,2,2,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,2,0,2,0,0,0,1,0,0,1,1,2,1,0,1,1,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,2,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,1,1,0,0,2,1,0,1,0,0,1,1,0,1,1,2,1,0,1,0,1,0,0,1,1,0,1,2,1,1,2,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,1,0,0,2,1,0,1,0,2,0,1,0,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,2,1,2,0,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,2,0,1,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,1,0,1,2,0,1,2,1,1,1,0,0,1,0,2,1,2,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,1,1,2,0,1,1,1,0,1,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,0,0,0,2,2,0,1,1,0,0,1,1,0,0,0,0,1,2,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0
2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,2,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,2,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,1,2,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,2,1,0,1,0,0,2,1,1,1,0,1,2,2,0,0,2,0,0,1,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,2,1,2,0,2,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,2,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,2,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,2,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,2,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,2,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,2,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,1,2,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,1,1,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,1,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0
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1,0,0,1,1,0,0,0,1,2,2,0,0,2,1,1,0,1,1,0,0,0,0,0,1,1,2,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,1,0,2,0,0,1,0,1,0,1,0,2,1,1,2,0,0,0,1,0,2,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,2,1,0,1,0,2,1,0,2,2,1,0,1,0,1,0,0,0,1,1,1,0,0,2,1,1,2,1,0,0,0,0,1,1,2,2,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,0,1,1,0,2,2,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,2,1,2,1,0,2,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,2,1,1,0,1,0,2,1,1,0,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,2,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,2,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,2,1,2,1,0,0,0,2,1,1,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,2,1,1,1,1,2,2,0,0,0,1,1,1,1,0,2,0,1,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,1,0,2,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,2,0,2,1,0,1,1,1,2,2,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,2,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,2,2,2,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,1,0,0,0,1,0,2,0,2,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,0,2,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,0,1,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,2,1,0,2,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,2,0,0,1,2,1,1,1,0,0,0,1,0,1,0,2,2,0,0,0,1,1,0,0,0,2,2,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,1,1,0,0,2,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,2,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,2,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,2,0,2,1,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,1,0,1,2,1,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,2,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,0,2,0,1,2,1,0,2,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,2,1,1,2,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,2,2,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,2,2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,2,0,0,1,2,0,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0
1,0,2,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,2,1,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,2,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,2,1,0,0,1,0,2,0,2,1,0,2,2,0,2,0,1,0,1,2,1,0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,1,0,0,2,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,2,2,2,0,2,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,2,1,0,1,0,2,2,1,0,2,0,1,0,0,0,1,2,1,2,0,0,0,2,0,0,1,0,0,0,0,1,2,1,1,1,1,2,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,2,2,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,1,1,1,0,0,0,1,1,2,2,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,2,2,0,1,1,0,0,1,0,0,2,0,1,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,1,2,1,0,0,1,1,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,1,2,0,0,1,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,2,1,1,2,0,2,0,0,2,0,2,0,0,0,1,0,0,2,1,0,1,0,2,0,2,0,1,0,0,0,0,1,2,1,0,1,1,0,1,2,2,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0
1,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,2,1,1,0,1,0,2,0,0,0,2,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,2,0,1,2,0,0,1,1,0,2,0,0,0,1,0,2,1,2,0,2,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,2,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,2,1,2,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,2,2,1,0,0,1,1,2,0,1,1,0,0,1,1,0,1,1,2,0,0,2,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,0,0,2,1,1,1,0,0,2,1,1,0,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,2,0,1,0,2,1,0,0,0,0,1,2,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,1,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,2,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,2,1,0,2,1,0,1,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,1,0,0,0,2,1,0,2,1,1,1,1,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,2,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,1,1,1,1,2,2,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0
2,0,0,2,0,0,0,2,2,0,1,1,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,2,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,0,2,0,1,2,1,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,2,2,1,0,2,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,2,0,1,1,1,1,2,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,2,1,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,2,0,2,0,1,0,0,1,1,0,0,0,1,1,1,1,2,1,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,1,0,0,1,1,0,0,2,2,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,2,1,1,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,2,1,0,2,0,1,1,1,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,1,0,0,0,0,1,1,2,2,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,1,2,1,0,2,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,2,1,0,1,0,0,2,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,2,0,0,0,2,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0
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1,0,2,1,1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,2,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,2,1,0,0,1,0,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,2,0,2,0,1,0,1,2,1,0,1,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,1,1,2,2,1,2,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,2,2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,2,0,1,0,1,2,0,1,0,1,1,1,0,2,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,2,0,2,0,1,0,0,0,0,1,1,0,1,2,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,2,1,0,0,0,0,2,2,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,2,1,1,1,1,0,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,2,1,2,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,0,2,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,1,0,0,2,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,2,1,2,2,1,0,1,0,1,1,2,0,0,1,0,1,1,0,2,1,2,0,1,1,0,0,0,0,0,2,0,1,2,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,2,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
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1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,1,1,1,0,2,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,2,0,2,2,0,1,1,0,1,0,0,0,2,1,0,1,0,1,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,2,1,0,1,2,1,0,1,1,1,0,0,1,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,2,0,0,2,2,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,2,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,2,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,2,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,0,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,0,2,2,1,0,0,0,0,0,1,0,2,2,0,1,0,0,2,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,2,1,0,0,0,0,2,2,1,1,0,0,2,1,1,1,0,0,0,1,2,0,0,0,2,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,1,0,2,2,1,2,1,0,1,0,0,1,0,1,2,2,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,2,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,2,0,0,1,0,2,2,1,0,0,0,1,0,0,2,1,0,0,0,2,2,1,1,0,0,0,0,1,1,2,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,2,2,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0
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1,0,1,2,0,0,0,0,0,1,2,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,2,2,0,0,0,1,2,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,1,2,0,2,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,1,0,0,1,1,0,0,1,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,2,2,0,0,1,1,1,2,1,0,0,1,2,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,2,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,1,1,1,1,0,1,2,0,2,0,2,1,1,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,2,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,2,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,2,2,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,2,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0
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1,0,0,1,1,0,1,2,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,2,1,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,1,0,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,1,2,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,2,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,2,0,0,1,1,1,1,2,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,2,1,1,1,2,0,1,2,1,0,0,0,0,1,2,1,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,2,1,0,1,1,0,0,1,0,1,0,0,2,1,1,0,1,0,2,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,2,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,1,2,0,1,0,1,1,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,1,2,1,1,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,2,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,2,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0
1,0,0,0,2,0,1,0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,2,0,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,2,0,1,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,1,2,0,0,0,1,0,1,2,1,2,0,2,0,0,0,0,0,2,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,1,2,1,1,1,1,1,0,2,0,0,1,1,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,2,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,2,2,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,2,0,0,1,1,1,2,1,1,0,2,2,0,0,0,0,1,2,1,2,1,0,1,0,0,0,1,0,0,1,0,0,0
2,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,2,1,1,1,0,0,0,2,2,1,0,2,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,2,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,0,2,0,0,0,1,0,2,0,0,0,2,0,1,2,0,0,0,0,1,0,0,2,1,1,2,1,0,1,2,0,0,0,1,2,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,1,2,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,2,1,1,1,1,0,1,0,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,2,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,1,0,1,2,0,0,1,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,2,0,0,1,0,1,1,1,1,2,2,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,2,2,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,0,2,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,1,1,1,1,0,1,1,1,0,1,2,0,2,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,0,0,1,1,1,1,1,1,1,0,2,0,1,0,1,0,1,0,1,0,0,2,0,0,2,0,0,2,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0
1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,2,2,0,1,0,1,0,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,2,0,1,1,0,2,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,1,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,2,1,2,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,2,0,0,2,0,2,0,0,0,1,1,0,0,1,2,0,1,2,0,0,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,2,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,2,2,0,0,0,2,0,1,0,2,1,1,2,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,2,1,0,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,1,0,1,0,1,0,0,1,0,1,2,2,0,0,0,2,0,2,1,1,1,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,1,1,1,1,0,1,2,2,0,1,1,1,2,0,1,0,0,0,2,0,2,1,2,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,0,2,0,1,0,1,2,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,2,1,1,2,1,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,1,0,2,1,1,1,2,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,1,2,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,2,1,0,2,0,0,0,2,0,1,1,2,0,1,0,0,0,2,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,2,0,1,1,0,0,0
1,0,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,1,0,2,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,2,2,2,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,1,1,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,2,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,1,0,0,1,0,1,0,2,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,1,2,2,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,2,1,0,1,2,0,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,1,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,2,1,2,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,1,2,0,2,1,1,1,2,0,0,2,2,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,2,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,2,2,2,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,1,0,2,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,0,1,0,1,0,1,1,2,1,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,1,1,1,0
1,1,2,1,1,0,2,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,1,1,2,0,0,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,2,2,0,0,0,0,0,0,1,2,1,1,1,0,1,2,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,2,1,0,0,0,1,0,2,2,0,0,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,1,0,1,2,0,0,1,2,0,0,0,1,1,1,0,2,0,0,0,1,2,0,1,0,2,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,2,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,2,2,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,1,0,1,2,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,2,2,1,1,1,1,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,2,0,2,0,1,0,2,0,0,0,0,0,1,0,0,2,1,2,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,2,1,2,0,1,1,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,2,0,1,1,0,2,0,1,0,0,1,1,2,1,1,0,0,2,1,1,0,0,0,2,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0
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1,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,0,0,1,0,2,1,0,0,1,1,1,1,2,0,0,1,1,0,1,0,1,1,0,0,1,1,0,2,1,1,2,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,2,0,0,2,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,2,1,0,2,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,1,2,1,0,1,1,0,0,1,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,2,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,2,0,0,0,1,1,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,2,1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,2,1,2,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,2,1,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,2,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,1,2,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,2,0,1,0,0,2,1,1,0,1,2,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,2,0,1,1,1,1,1,1,0,2,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0
1,0,1,2,0,0,0,1,2,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,2,1,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,2,1,1,2,1,0,0,0,0,0,0,1,0,2,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,2,1,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,1,2,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,2,1,2,1,0,2,0,1,0,1,1,0,0,0,1,2,0,1,0,0,2,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,1,2,0,0,1,2,2,1,1,1,2,0,0,1,2,0,0,1,0,0,1,1,1,1,0,0,0,2,2,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,0,0,0,1,2,0,2,0,1,1,1,1,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,2,1,2,2,0,2,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,2,1,0,1,0,1,1,1,2,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,2,0,2,1,1,0,0,0,1,0,2,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,2,1,0,2,0,0,0,1,0,0,1,2,2,1,2,0,1,1,1,0,1,1,0,0,1,1,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,2,2,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,2,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0
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1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,2,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,2,0,0,1,2,1,0,0,1,0,0,2,0,2,0,1,0,1,0,0,1,1,2,1,0,0,0,0,2,0,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,2,0,1,1,2,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,2,1,1,1,2,0,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,2,1,2,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,0,2,1,0,1,2,0,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,1,2,0,1,0,0,1,1,1,0,1,2,2,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,1,0,0,2,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,1,0,2,1,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,2,1,0,0,0,2,1,0,1,0,0,1,0,2,0,0,1,0,1,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,1,1,0,1,1,2,0,0,1,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0
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2,0,2,2,0,1,1,1,0,2,1,2,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,2,2,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,2,0,2,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,2,1,1,0,0,1,0,1,1,1,0,1,1,1,1,2,0,0,1,2,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,1,0,2,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,2,2,0,0,0,0,1,0,0,1,1,2,2,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,2,0,0,1,1,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,2,1,2,0,1,1,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,0,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,2,0,1,0,1,1,0,2,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,1,2,1,0,1,1,0,2,1,0,1,0,2,2,2,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,0,2,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,0,2,0,1,0,0,1,1,2,1,1,1,2,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,1,2,1,0,1,1,0,0,0,1,0,1,0,1,1,0,2,0,0,2,1,0,2,0,2,2,0,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,2,0,2,2,1,0,1,0,1,0,1,1,1,0,2,2,0,0,0,1,2,0,0,0,1,1,2,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,2,0,1,1,0
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2,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,2,1,1,2,1,1,2,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,1,0,1,1,2,1,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,2,1,0,1,0,2,0,2,1,0,0,2,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,0,0,0,0,1,2,0,1,1,2,0,1,1,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,2,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,1,2,2,1,0,0,2,1,1,0,0,0,0,0,1,2,1,1,1,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,2,1,0,0,1,1,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,2,0,1,1,1,0,0,2,1,1,0,1,0,0,1,0,1,2,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,1,0,2,1,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,2,0,0,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,0,1,0,1,2,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,2,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,2,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,2,0,0,1,1,1,0,1,0,1,0,1,0,1,2,2,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,2,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,0,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,2,0,0,2,0,0,2,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0
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1,0,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,2,0,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,2,0,2,2,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,2,1,0,2,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,2,0,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,1,0,1,1,1,2,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,2,1,1,1,1,0,1,0,2,0,0,0,0,2,1,0,1,0,0,2,0,0,0,0,0,1,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0
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1,0,1,1,1,1,0,1,1,2,1,1,1,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,1,1,0,0,0,0,0,2,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,2,1,1,1,0,0,0,0,2,0,2,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,2,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,0,1,1,2,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,2,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,2,2,0,1,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,1,0,1,1,0,1,0,1,1,1,2,0,1,1,0,2,1,1,1,2,1,0,1,1,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,2,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,2,0,0,0,0,2,1,0,0,2,0,2,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,2,1,1,2,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,2,0,0,1,2,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,1,0,1,1,1,2,0,1,0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,2,0,0,1,1,1,1,2,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,1,1,1,0,1,1,0,0,2,0,1,2,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,2,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,2,0,1,0,0,0,1,0,1,1,1,0,2,0,1,1,0,0,2,1,0,1,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0
1,0,0,2,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,1,0,2,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,2,1,1,0,0,2,0,2,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,2,1,1,0,2,2,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,2,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,2,0,1,1,0,0,2,0,0,0,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,2,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,0,0,1,2,0,1,0,1,0,0,1,1,0,2,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,2,2,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,2,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,1,2,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,2,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,1,0,0,0,0,0,1,2,1,0,0,0,0,2,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0
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1,0,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,2,0,2,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,2,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,2,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,2,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,1,2,1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,2,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,2,2,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,2,0,1,1,1,2,0,1,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,0,2,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,2,1,1,1,0,1,0,2,0,1,0,1,1,1,2,0,0,2,1,0,1,0,0,2,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,2,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,2,2,0,0,1,1,0,2,0,0,1,0,1,0,2,0,0,0,1,0,0,0,2,0,1,1,2,0,0,2,0,1,1,0,2,0,1,1,0,1,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,2,1,1,0,0,0,2,1,2,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,2,0,1,0,0,2,0,1,1,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,0,2,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,2,1,1,2,1,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,2,0,0,1,0,0,1,0,0,1,1,1,1,0,2,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0
1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,2,1,2,0,0,1,1,0,1,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,2,1,0,0,0,1,1,0,0,1,2,2,0,0,1,1,1,2,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,2,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,1,1,0,2,0,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,2,1,0,1,0,1,2,0,0,0,0,2,2,1,0,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,2,2,1,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,1,2,2,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,1,2,1,1,0,0,0,0,1,1,1,0,0,1,0,1,2,0,0,2,0,0,2,1,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0,2,2,0,2,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,2,1,1,1,0,2,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,1,0,2,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,2,0,2,0,1,0,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,2,0,1,1,2,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,2,1,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,1,2,2,0,0,0,1,0,1,0,0,0,0,1,0,1,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0
1,0,1,0,0,0,0,0,1,1,1,0,0,2,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,2,2,0,0,0,0,0,1,1,0,2,0,2,1,0,1,0,0,2,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,2,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,1,1,1,2,1,0,2,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,2,1,0,2,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,2,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,2,0,2,0,0,0,1,1,0,1,1,0,0,1,2,1,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,1,2,0,0,0,0,2,2,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,2,2,1,0,0,2,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,2,0,0,0,2,1,0,2,2,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,2,1,2,1,1,1,0,2,0,1,0,1,1,0,1,0,0,2,0,0,0,2,1,0,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,2,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,2,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0
2,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1,1,0,0,1,0,1,1,0,1,2,1,1,0,2,2,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0,2,0,0,0,1,0,0,0,0,1,1,1,1,2,0,1,1,1,2,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,2,0,0,0,0,1,0,1,0,2,2,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,2,0,0,1,1,2,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,1,1,0,2,0,2,1,0,2,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,2,1,1,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,2,0,2,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,1,2,1,0,0,2,1,1,0,0,0,0,2,1,1,1,2,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,1,0,2,0,0,1,0,1,2,1,0,1,1,0,0,0,2,0,0,2,0,2,1,1,2,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,2,1,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,1,1,1,2,2,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0
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2,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,2,0,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,0,2,0,0,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,2,1,1,1,0,1,0,0,1,1,1,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,2,1,0,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,2,2,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,2,2,1,0,0,1,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,2,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,2,2,0,0,1,1,1,0,0,0,1,2,0,0,1,1,1,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,2,0,1,1,0,1,0,0,2,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,1,1,2,0,1,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,2,1,1,1,1,0,1,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,2,0,1,0,2,0,1,0,1,0,1,2,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0
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1,0,1,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,2,2,1,1,0,2,0,2,1,0,0,0,2,0,1,1,2,1,0,0,0,0,0,2,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,2,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,2,2,1,0,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,2,1,1,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,1,2,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,2,0,2,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,1,2,0,1,2,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,2,2,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,2,2,0,1,1,1,2,2,0,1,2,0,0,0,0,0,1,0,0,0,0
1,0,2,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,2,2,1,1,0,0,2,0,1,0,1,0,2,0,2,0,1,2,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,2,0,1,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,2,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,1,0,1,2,2,1,1,1,1,1,0,1,1,0,1,1,0,1,0,2,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,1,1,0,1,2,0,1,0,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,1,1,0,1,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,2,2,0,0,1,2,0,0,0,1,2,0,1,2,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,2,0,1,0,0,2,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,2,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,1,0,1,1,1,0,0,2,1,1,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,2,0,0,2,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,0,1,2,0,1,0,0,2,0,2,1,0,0,0
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2,0,0,0,1,0,0,1,1,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,2,1,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,1,0,2,0,0,0,0,0,1,1,2,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,2,1,0,2,1,0,0,2,0,0,0,0,1,1,0,2,0,0,2,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,2,2,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,1,0,0,2,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,1,0,2,0,0,1,1,2,1,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,1,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,2,0,0,0,2,1,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,2,2,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,0,1,1,1,2,2,1,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,1,1,0,2,1,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,2,1,0,0,0,2,0,1,1,0,1,0,0,1,2,1,0,2,0,1,0,2,0,1,0,0,2,1,0,2,0,0,1,2,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,2,1,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,2,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,1,0,2,1,0,1,0,2,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,2,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,2,0,1,2,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0
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1,0,1,1,0,1,1,0,0,1,2,0,0,1,1,1,0,1,1,0,0,0,1,0,1,2,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,2,0,0,0,0,1,2,0,2,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,2,0,1,0,0,2,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,1,1,0,2,0,1,0,2,0,0,0,0,2,1,1,0,1,1,1,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,2,1,0,0,2,1,0,2,1,0,0,1,2,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,0,0,1,2,0,1,2,0,0,2,1,0,0,0,1,1,0,1,1,1,2,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,1,1,2,0,1,1,0,0,1,0,1,0,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,2,2,0,1,1,2,2,2,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,2,1,0,0,1,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0
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1,0,1,1,1,1,0,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,2,1,2,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,2,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,2,0,0,2,0,1,0,0,0,0,1,1,2,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,2,0,0,2,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,2,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,1,2,1,0,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,2,0,0,0,2,1,0,1,1,1,0,1,0,0,2,0,0,0,0,2,1,1,1,0,1,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,1,0,2,0,1,1,0,0,0,2,1,0,0,2,1,1,1,1,0,0,1,0,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,2,2,0,1,0,2,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,2,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,2,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,2,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,1,0,1,1,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,1,2,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,0,0,0,0,2,1,1,1,1,2,1,0,1,0,0,2,0,1,1,0,2,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,2,1,1,0,1,2,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,1,2,0,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,0,1,1,2,1,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,1,1,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0
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1,0,2,2,2,0,1,1,1,2,1,1,1,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,1,0,0,1,2,1,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,2,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,1,2,0,1,1,0,0,0,2,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,2,1,1,2,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,2,2,1,0,1,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,2,1,0,1,2,0,0,1,0,0,1,2,0,1,0,0,2,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,0,2,1,0,1,0,2,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,2,1,2,1,1,2,1,0,0,1,2,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,1,2,1,0,1,2,2,0,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,2,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0
1,0,0,2,1,1,0,1,0,2,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,2,0,2,1,0,0,1,0,2,0,1,2,1,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,2,0,0,2,2,1,0,0,0,1,1,0,1,0,1,1,0,2,1,2,0,1,0,1,0,1,0,2,0,1,0,1,1,1,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,2,1,2,0,0,0,2,2,2,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,0,2,0,2,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,2,1,1,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,2,1,0,1,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,2,2,0,1,1,1,1,1,0,0,1,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,2,0,0,0,2,0,0,0,2,1,2,0,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,1,1,1,2,0,2,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0
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1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,2,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,2,1,1,0,0,0,2,1,1,1,0,0,0,0,0,2,1,0,1,1,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,1,2,2,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,2,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,0,1,0,1,2,0,2,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,2,1,0,1,2,1,1,0,1,0,2,1,0,1,0,0,2,0,1,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,1,1,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,0,1,1,2,0,0,2,1,0,0,0,2,0,0,0,0,0,1,2,1,0,0,1,1,0,2,0,2,0,2,0,0,0,0,0,1,1,1,0,1,1,1,2,0,2,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,0,0,2,1,1,1,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,2,1,0,0,0,0,1,2,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,2,0,2,0,2,1,1,1,1,1,0,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,1,2,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0
1,0,0,1,1,0,0,1,0,2,2,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,2,0,2,2,0,2,0,0,0,2,2,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,2,0,2,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,1,0,2,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,1,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,2,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,2,2,1,0,1,0,2,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,1,1,0,0,2,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,2,1,2,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,1,2,1,2,0,0,1,0,1,0,0,0,1,1,2,0,2,0,0,1,1,2,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,1,2,0,0,2,1,1,2,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,2,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,2,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,1,0,1,2,0,0,2,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0
1,0,0,2,1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,1,0,2,1,2,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,2,1,1,0,2,0,0,0,0,0,2,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,1,1,2,0,0,1,1,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,2,0,0,1,0,0,2,1,1,0,0,1,0,1,1,1,2,2,0,0,1,1,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,2,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,2,2,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,1,2,1,0,1,0,1,2,0,0,0,0,0,2,0,1,2,1,1,0,2,0,1,1,0,2,1,1,1,0,1,0,1,1,1,0,0,0,2,0,0,2,0,0,2,1,1,0,0,0,0,1,2,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,2,2,2,1,1,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,2,1,2,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,1,2,0,1,0,2,0,1,2,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,1,0,2,1,1,0,2,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,0,2,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,2,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,1,1,0,2,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,1,0,1,2,2,2,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0
2,0,1,0,1,0,0,0,1,1,1,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,2,0,2,1,1,1,2,1,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,2,1,0,1,1,2,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,2,0,1,1,1,0,0,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,2,2,0,1,1,0,2,2,2,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,0,1,1,0,0,0,0,1,2,1,2,0,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,2,2,1,0,0,2,2,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,2,2,1,2,1,1,0,0,0,1,0,1,0,1,1,0,2,2,1,1,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,1,1,1,0,2,0,1,2,1,0,1,2,1,0,0,0,2,0,1,1,1,2,1,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0
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1,0,0,0,0,0,0,2,0,1,1,1,1,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,2,1,0,1,1,1,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0,2,1,1,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,1,1,1,1,0,1,1,1,0,0,0,0,2,2,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,1,1,2,2,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,1,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,2,2,1,1,0,2,0,0,1,2,0,0,1,0,1,1,2,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,2,2,0,1,0,1,2,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0
1,0,1,1,2,0,0,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,2,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,2,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,2,1,2,1,1,0,0,0,0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,0,1,0,2,0,2,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,2,0,1,2,0,0,0,2,1,0,1,0,0,0,0,2,2,0,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,2,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,2,2,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,2,1,0,0,1,1,2,1,2,0,1,1,0,0,0,0,0,2,2,2,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,0,0,1,2,0,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,2,2,0,0,0,1,1,2,0,1,1,2,0,0,0,0,1,1,1,0,1,0,2,1,2,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,2,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,2,2,1,1,1,1,1,0,2,1,1,0,0,0,1,1,0,2,2,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,1,0,0,1,2,1,1,1,1,0,0,1,0,2,2,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,2,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,2,2,0,0,0,1,0,2,2,1,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,2,1,0,0,1,2,0,0,0,2,0,2,0,1,1,0
1,0,1,0,0,0,0,2,1,0,1,2,0,1,2,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,2,0,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,0,0,0,2,1,0,1,0,2,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,2,1,2,1,2,0,2,1,0,1,1,2,1,1,0,0,2,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,2,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,1,0,0,0,2,0,2,1,1,0,1,1,0,2,1,1,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,2,0,0,1,0,0,0,2,2,1,0,1,0,0,1,0,0,1,0,1,1,0,2,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,2,0,2,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,2,0,1,2,0,1,1,0,1,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,2,2,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,1,2,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,2,0,2,2,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,0,2,0,1,1,0,1,1,0,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,2,0,1,0,0,0,0,2,2,0,1,1,0,0,1,1,1,0,1,0,1,2,2,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,0,2,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,1,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0
2,0,2,2,0,0,1,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,0,1,1,0,1,2,0,0,0,2,0,2,0,0,0,0,0,0,1,0,2,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,1,1,2,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,2,0,2,1,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,1,0,1,0,0,0,0,2,2,2,0,1,2,0,0,0,2,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,2,1,0,1,0,0,1,2,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,0,1,0,0,2,0,2,1,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,2,2,0,2,1,0,1,0,2,1,0,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,2,2,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,1,1,1,0,0,2,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,2,0,1,1,2,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,2,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,2,1,2,1,0,1,0,2,1,2,1,1,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,2,0,1,0,0,1,0,1,1,1,0,2,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,2,1,0,0,0
1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,2,2,1,0,0,2,0,0,0,0,0,1,1,1,1,2,2,0,2,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,2,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,2,2,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,2,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,2,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,2,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,0,2,1,2,2,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,2,1,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,2,2,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,2,0,1,1,0,0,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,2,0,1,1,1,1,0,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,2,1,1,1,0,2,2,1,1,1,1,0,1,1,1,1,0,1,0,0,0,2,1,1,2,2,2,0,1,1,1,0,0,2,0,1,0,1,2,2,0,1,2,1,2,2,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,2,2,2,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,1,2,0,0,0,0,0,0,1,0,2,1,1,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,2,1,0,0,0,1,1,0,2,0,1,1,1,1,0,0,0,1,2,0,1,1,2,2,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,2,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,1,0
0,0,2,1,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,0,2,1,0,0,0,1,1,0,1,0,1,1,2,1,1,0,0,0,2,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,1,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,2,2,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,0,1,2,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,1,0,0,0,0,1,0,2,1,1,2,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,2,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,2,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,2,0,2,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,2,2,0,0,0,0,1,2,1,1,1,1,2,0,1,1,1,0,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,2,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,1,1,2,0,1,1,2,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0
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2,0,0,2,1,1,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,2,2,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,2,1,0,1,1,0,0,0,2,0,0,2,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,2,2,1,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,2,0,0,1,2,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,2,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,1,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,2,1,0,1,0,2,1,0,0,0,0,0,0,2,1,2,1,1,0,2,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,1,0,2,0,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
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2,0,0,0,0,0,0,2,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,2,0,0,1,0,1,2,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,1,0,1,1,0,0,2,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,1,2,2,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,2,0,1,1,1,0,1,0,0,2,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,2,0,1,0,2,0,0,1,0,2,2,0,0,0,1,0,1,1,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,2,1,1,1,2,1,1,0,0,1,0,2,0,0,1,2,2,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,1,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,1,2,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,0,0,0,2,2,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,1,0,2,0,0,0,1,0,0,0,0,1,2,1,2,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,1,0,2,2,2,0,1,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,2,2,1,0,0,2,0,0,1,2,0,0,0,0,2,1,0,0,0,1,0,1,0,1,2,0,1,1,2,1,0,1,1,1,1,0,2,0,1,1,0,0,0,0,1,2,1,0,0,0,0,2,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,1,1,2,1,0,2,0,2,1,0,0,0,2,1,1,1,0,0,2,0,1,1,0
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1,0,2,2,1,0,1,1,0,1,1,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,0,1,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,2,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0,1,2,0,1,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,2,1,1,2,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,2,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,2,0,2,0,0,0,0,0,2,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,2,0,2,1,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,2,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,2,1,1,2,2,0,0,0,0,0,2,2,0,0,1,1,0,1,0,0,1,1,0,2,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,2,2,2,0,1,1,1,0,0,0,2,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,1,1,2,1,0,1,2,0,0,0,2,2,1,1,2,1,2,1,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0
2,0,0,1,2,0,0,1,0,0,2,1,0,2,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,2,0,0,0,1,1,1,2,0,1,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,2,2,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,2,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,2,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,2,1,2,0,1,1,0,0,0,2,1,2,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,1,1,1,0,1,2,1,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,2,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,2,1,2,1,0,0,0,0,0,2,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,2,0,0,2,1,2,2,0,1,1,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,1,1,1,0,2,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,2,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0
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1,0,1,0,1,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,1,1,1,0,1,2,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,2,1,0,0,0,2,1,0,0,1,1,2,0,2,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,1,0,1,0,1,1,2,0,1,0,2,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,0,1,1,0,2,0,0,0,1,2,0,1,1,1,0,2,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,2,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,2,0,0,1,1,0,1,1,0,1,2,1,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,1,0,1,2,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,2,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,2,0,1,1,2,1,0,0,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,2,0,0,1,2,2,0,1,0,0,1,0,2,1,0,0,1,0,0,1,1,2,2,2,1,1,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,2,1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,2,2,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,0,1,1,1,0,2,1,1,0,0,2,0,0,1,0,1,1,1,1,0,1,0,1,1,1,2,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,1,0,0,1,2,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0
2,0,2,2,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,2,0,0,1,1,0,0,2,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,2,0,2,1,1,1,0,1,0,2,0,0,1,1,2,0,0,0,0,2,1,1,1,0,1,1,1,1,0,2,0,1,1,0,1,1,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,2,1,1,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,0,1,0,2,0,2,2,0,0,1,0,0,2,1,1,0,2,0,1,2,1,0,1,0,0,1,1,2,0,0,0,0,0,1,2,1,1,2,0,0,2,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,2,0,0,0,0,2,0,2,1,2,0,0,0,1,0,1,0,2,1,0,0,0,1,1,2,0,1,1,0,2,1,0,1,0,0,2,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,2,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,2,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,2,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,2,2,0,0,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,2,1,2,2,1,0,1,0,1,0,1,1,0,1,1,2,0,1,0,1,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,0,2,0,1,1,2,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,2,1,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,1,2,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
1,0,2,2,2,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,2,0,2,1,2,1,0,0,0,0,1,1,0,0,1,2,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,2,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,1,0,0,2,0,0,1,0,1,1,2,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,2,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,1,2,2,0,2,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,2,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,2,2,1,2,1,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,2,1,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,1,2,1,2,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,2,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,2,2,0,1,1,0,0,1,2,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,1,1,2,2,0,2,1,0,1,0,0,2,1,0,1,0,0,0,1,2,1,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,2,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,2,1,1,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,2,0,1,2,0,0,0,0,0,0,0,2,2,2,2,2,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,2,1,0,0,1,0,1,2,0,1,1,0,0,0,1,1,1,1,0,1,0,2,1,0,2,0,0,1,0,0,0,0,2,0,2,1,2,0,2,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,1,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,2,1,1,1,1,0,0,1,0,0,1,0,0,2,0,1,0,2,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0
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1,0,1,1,0,0,1,1,1,2,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,1,2,0,2,0,1,1,0,0,1,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,2,0,2,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,2,0,2,1,0,0,0,0,2,2,1,2,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,2,1,2,0,2,0,0,2,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,2,1,2,1,0,0,0,1,2,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,2,0,1,1,1,1,1,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,2,2,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,2,1,1,1,2,2,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,0,2,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,2,1,0,1,2,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,2,0,0,0,1,1,0,1,2,0,1,1,0,1,1,0,0,0,0,2,0,0,2,0,2,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,2,2,1,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,2,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,1,0,0,1,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,2,1,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,2,0,0,1,0,0,0,2,0,1,0,2,1,1,0,0,2,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,2,2,1,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,2,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,1,2,2,1,2,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,1,2,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,0,1,1,2,0,1,0,1,0,1,1,1,2,1,0,0,1,0,0,0,2,1,1,1,0,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,2,1,1,1,2,1,0,1,1,1,0,1,2,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,2,1,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,2,1,1,1,2,0,1,1,2,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0
1,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,1,2,1,0,1,1,1,2,0,0,0,1,0,1,2,0,0,1,1,1,1,0,1,1,2,0,0,0,0,1,1,2,2,2,1,0,2,2,0,0,1,2,0,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,1,2,0,0,2,0,0,1,0,0,1,0,0,1,0,2,0,1,0,2,1,1,0,2,2,2,1,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,1,1,1,2,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,0,1,2,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,2,2,1,0,0,2,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,2,2,0,1,1,0,1,2,0,1,0,0,2,1,0,2,0,1,0,0,1,0,0,1,1,0,2,2,2,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,2,0,2,0,1,0,1,0,0,0,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,1,2,0,1,1,1,1,0,0,0,1,0,1,1,0,2,0,1,0,2,0,2,0,0,0,0,0,2,2,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,2,2,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,1,2,2,0,1,1,1,0,0,1,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,2,0,1,0,0,0,0,0,1,0,2,1,2,0,1,1,2,0,1,1,1,1,0,2,1,2,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,2,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,2,0,1,0,1,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0
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1,1,1,0,0,1,2,0,1,2,2,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,2,0,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,1,1,2,1,0,0,2,0,1,1,2,0,2,1,1,1,0,1,0,2,0,0,0,1,0,1,1,2,1,1,0,1,0,1,0,0,2,0,0,1,1,1,1,1,0,1,1,2,0,2,1,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,2,1,1,1,0,1,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,1,1,0,2,0,0,0,0,1,0,2,0,1,1,2,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,1,1,1,2,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,1,0,1,1,2,0,1,2,0,1,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,2,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,1,1,0,0,2,0,1,2,1,2,0,0,0,1,2,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,1,2,0,0,2,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0
1,0,1,0,1,1,0,2,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,2,0,1,0,1,0,1,0,1,1,2,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,2,0,1,0,1,1,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,1,2,0,0,0,2,1,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,2,0,0,0,0,2,2,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,2,1,1,1,0,2,1,0,0,0,2,2,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,2,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,2,2,0,0,1,0,1,1,0,0,1,1,0,2,0,1,2,1,1,1,1,0,2,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,1,1,2,1,1,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,2,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,2,1,0,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,2,1,1,1,1,0,1,0,0,1,1,2,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,2,1,2,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,2,0,1,1,2,1,0,1,0,0,0,2,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,2,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,1,1,1,1,0
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2,0,1,2,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,2,2,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,2,2,0,1,0,0,0,1,2,2,0,1,0,0,1,0,1,1,2,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,2,0,1,1,0,1,1,2,0,1,1,0,0,1,2,0,0,0,1,0,1,0,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,1,1,1,1,2,1,1,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,2,0,0,0,0,0,1,2,1,2,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,2,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,2,0,1,0,2,1,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,2,1,0,0,0
2,0,0,2,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,2,0,0,0,0,2,2,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,1,1,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,2,0,0,0,2,1,1,1,1,2,0,1,1,0,0,1,0,0,0,0,2,0,1,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,1,2,2,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,2,1,2,1,0,0,2,0,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,2,1,2,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,1,2,1,1,1,0,0,2,0,0,2,0,1,2,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,1,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0
1,0,2,1,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,0,1,2,2,0,0,2,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,2,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,1,0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,2,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,1,1,0,0,1,0,0,1,2,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,1,2,1,0,1,0,1,0,0,2,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,2,1,1,0,2,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,1,0,2,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,1,2,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,1,2,0,1,1,2,1,1,0,0,1,2,1,0,1,2,0,1,1,1,1,1,1,0,2,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,2,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,1,0,1,2,0,0,0,1,0,0,0,1,0,2,2,0,1,0,2,1,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,2,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,2,1,0,1,1,2,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0
1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,2,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,2,0,1,2,0,0,1,0,0,1,0,2,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,2,0,1,2,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,1,1,0,0,0,2,1,1,0,1,0,1,2,2,1,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,0,0,2,2,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,2,1,2,0,1,0,2,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,1,0,1,1,0,0,0,1,1,2,2,0,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,2,1,0,2,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,1,1,0,1,1,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,2,0,1,2,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,2,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,2,1,1,0,1,0,0,0,1,1,0,0,1,2,0,1,1,0,1,2,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,2,2,1,1,1,1,1,1,0,0,0,2,1,0,0,1,0,2,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,1,2,1,1,2,0,1,0,2,0,0,1,0,1,2,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,2,2,1,0,2,0,0,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,1,2,1,0,1,1,1,0,1,1,2,1,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,2,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0
1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,2,1,1,0,1,2,0,0,2,0,0,2,0,0,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,2,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,2,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,2,0,2,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,2,0,1,1,2,2,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,2,2,2,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,2,2,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,2,0,1,0,1,0,0,2,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,2,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,1,1,1,0,0,0,0,1,2,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,2,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,2,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,2,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,2,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,2,2,1,1,1,1,0,1,1,1,0,1,0,0,1,0,2,1,2,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,2,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,1,2,2,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,2,2,2,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0
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1,0,1,1,0,0,0,1,0,2,1,2,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,0,2,0,1,1,1,2,0,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,2,2,1,1,0,0,2,0,0,1,0,1,0,1,1,0,1,0,1,2,1,1,0,0,0,1,0,0,2,1,2,1,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,1,1,1,2,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,2,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,2,0,2,1,2,0,0,0,0,1,1,0,2,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,0,2,0,0,1,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,2,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,2,1,2,0,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,0,1,0,0,1,2,1,0,2,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,2,0,0,2,0,1,0,2,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,0,2,1,0,1,1,1,2,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1,1,0,0,0,1,2,1,1,1,0,2,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,1,2,2,1,1,2,1,1,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,0,1,1,2,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0
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1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,2,1,2,0,1,2,1,0,1,0,0,0,1,2,0,0,2,2,0,2,2,1,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,2,0,1,0,2,0,0,2,0,2,2,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,1,2,2,2,0,2,0,1,1,0,0,2,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,2,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,1,0,0,2,0,0,1,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,2,0,1,1,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,1,1,0,1,2,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,2,1,2,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,2,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,1,2,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,1,1,2,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,2,1,0,2,0,0,2,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,2,0,2,0,0,1,0,0,1,0,1,2,1,0,1,1,1,0,0,0,2,0,0,0,0,1,2,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,2,2,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,2,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,2,1,1,1,2,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,2,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,2,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,0,1,0,2,1,0,0,1,1,2,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,2,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,1,2,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,0,2,0,1,1,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,2,2,0,1,0,1,0,1,2,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,2,2,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,2,1,0,1,2,1,0,1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,2,0,1,0,1,0,1,2,1,0,1,1,0,1,2,0,2,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,2,1,0,1,1,2,1,1,1,0,0,0,2,0,0,2,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,2,1,1,0,2,2,0,0,1,1,0,1,1,0,1,0,1,1,2,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,2,2,1,0,1,2,1,1,1,0,0,0,0,2,1,1,2,1,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,0,2,1,1,0,1,2,0,0,2,0,1,0,0,0,1,1,1,2,1,2,1,1,0,1,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,0,1,2,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0
0,0,2,2,1,1,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,1,2,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,2,1,0,1,2,2,2,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,2,0,1,1,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,2,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,2,0,0,1,0,0,2,1,1,0,2,2,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,2,2,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,2,0,1,0,1,0,1,1,1,0,1,0,1,0,2,1,0,1,0,2,2,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,2,2,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,1,2,0,1,0,2,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,2,2,0,0,2,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,2,1,2,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,2,0,0,2,0,1,0,0,0,0,0,0,2,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,2,2,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,2,0,0,1,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,2,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0
2,0,2,1,0,0,0,2,2,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,1,2,0,2,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,2,0,2,0,1,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,1,1,0,1,1,1,1,0,0,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,2,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,2,1,0,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,2,1,1,2,1,0,1,1,2,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,1,0,0,0,2,0,2,0,1,1,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,2,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,2,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,2,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,1,1,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,2,2,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,2,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0
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1,1,1,0,1,0,0,0,1,2,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,1,2,2,1,1,0,1,0,0,2,0,0,2,2,1,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,0,1,2,2,0,2,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,2,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,2,2,1,1,2,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,1,2,1,0,0,2,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,2,0,0,1,0,1,0,1,1,2,0,1,0,1,1,1,2,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,2,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,2,2,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,0,1,0,2,1,1,2,0,1,2,0,1,1,1,2,0,2,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,2,1,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,2,2,0,0,1,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,2,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,2,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,2,2,0,2,0,1,0,1,0,0,0,1,2,1,1,0,1,0,2,1,1,1,1,0,0,0,1,1,1,1,1,0,1,2,1,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,1,2,2,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,2,2,1,1,0,1,0,2,1,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,1,2,0,2,0,0,0,0,0,2,0,2,1,0,0,2,2,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0
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0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,2,2,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,1,0,1,2,1,1,1,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,2,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,2,0,1,0,1,1,0,1,1,1,1,1,0,1,0,1,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,2,2,0,0,1,1,1,2,2,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,2,1,1,1,0,1,0,1,1,1,1,2,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,2,2,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,0,2,0,0,0,2,0,2,0,0,0,2,1,0,1,1,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,2,1,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,1,2,0,0,2,0,1,1,1,0,1,0,1,0,0,0,2,0,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,2,0,1,0,2,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,2,0,1,1,2,0,1,0,2,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,2,2,1,0,1,1,0,1,0,1,0,0,1,0,2,1,1,2,0,1,0,1,1,1,0,2,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0
1,1,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,2,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,2,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,2,1,2,1,1,0,2,0,0,1,1,0,1,1,1,2,1,2,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,2,0,2,1,0,2,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,1,2,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,2,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,2,1,0,0,0,2,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,1,2,0,2,0,0,1,0,0,0,0,1,2,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,2,1,2,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,1,0,1,1,1,1,1,1,0,2,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0
2,0,1,0,1,0,0,2,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,2,1,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,2,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,2,0,2,0,2,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,0,1,1,1,2,0,0,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,2,0,1,2,0,0,1,2,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,2,0,1,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,2,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,2,0,2,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,2,0,2,1,0,2,0,0,0,1,1,2,0,2,0,1,0,1,0,1,0,1,1,0,2,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,1,0,2,0,1,1,2,0,1,1,1,1,1,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,2,1,0,2,0,1,0,1,0,1,0,2,1,1,1,1,2,0,1,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,2,1,2,1,0,2,1,0,0,1,2,2,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,1,0,1,0,0,2,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,2,0,0,2,0,0,1,2,2,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,1,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0
2,0,1,2,0,0,1,0,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,1,1,1,1,2,0,0,2,0,1,1,0,0,1,2,1,0,2,1,0,2,1,0,0,1,2,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,1,1,2,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,1,1,1,1,0,2,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,0,1,1,0,0,1,1,0,1,2,1,0,2,1,1,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,1,2,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,2,1,1,0,1,0,0,2,1,0,1,0,0,2,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,2,2,0,1,1,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,0,1,2,0,0,0,0,1,2,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,2,0,0,2,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,2,0,0,1,0,1,2,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,2,2,1,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,1,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,2,0,2,0,0,2,0,0,1,0,1,1,0,2,2,0,0,0
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1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,1,2,1,0,1,1,1,0,2,0,2,1,1,0,1,1,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,2,2,0,1,1,2,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,2,2,2,0,0,2,1,0,1,0,1,0,1,1,1,2,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,2,2,0,1,0,0,1,1,2,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,2,0,0,1,0,2,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,2,0,1,2,1,1,1,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,1,2,0,0,2,1,0,1,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,1,0,1,1,2,1,1,0,1,1,0,1,0,2,0,0,1,1,1,1,0,1,1,0,0,1,2,2,0,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,2,2,0,1,1,0,2,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,2,1,0,0,1,1,0,1,0,2,1,0,1,2,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,2,2,0,0,0,1,2,0,0,0,0,0,2,1,1,2,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,2,0,1,0,0,2,0,0,2,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,2,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,2,0,0,1,1,2,1,1,1,2,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,2,1,2,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,2,2,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,1,0,1,2,2,1,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,2,0,0,0,1,1,0,1,0,0,2,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,2,1,0,1,0,2,1,0,1,0,0,2,0,0,0,0,1,0,2,0,2,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,1,1,0,1,0,0,2,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,2,0,0,0,0,1,2,1,0,1,1,2,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,2,1,0,2,1,2,2,1,1,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,2,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,2,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,1,0,2,2,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,1,1,1,2,1,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,2,1,1,1,1,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,2,0,0,0,0,0,1,1,0,2,0,1,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0
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2,1,1,2,1,1,2,2,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,1,1,0,2,1,1,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,2,1,2,0,1,0,0,2,1,1,1,0,1,1,0,1,0,1,0,1,2,0,0,0,1,0,0,2,0,2,0,0,2,1,1,0,2,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,2,2,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,1,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,2,0,2,2,1,0,0,0,0,1,2,2,1,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,2,2,1,0,1,0,2,0,0,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,1,1,0,2,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,2,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,0,2,0,0,2,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,2,2,1,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,2,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0
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1,0,2,2,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,2,0,1,2,0,2,0,0,0,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,2,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,2,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,2,2,0,1,0,2,1,2,1,0,0,0,0,0,0,2,2,0,1,1,1,2,0,0,0,0,1,1,1,1,1,0,1,0,0,2,1,0,1,0,0,1,2,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,0,1,2,1,1,2,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,2,0,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,1,1,1,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,2,0,0,0,1,1,0,2,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,2,1,1,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,2,2,1,1,1,1,2,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,2,1,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,2,1,0,1,2,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,2,2,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,2,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,2,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0
1,0,0,2,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,2,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,0,2,1,0,0,0,1,0,2,0,1,0,2,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,1,1,0,0,0,1,2,0,2,1,0,2,1,1,0,1,0,2,2,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,2,0,2,0,0,1,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,2,0,1,0,1,2,0,2,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,2,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,2,2,2,1,0,0,1,0,2,1,1,0,1,2,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,2,1,0,1,1,1,0,1,2,1,0,0,0,2,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,1,1,1,0,2,0,0,0,1,2,1,1,1,1,0,2,1,1,2,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,2,0,1,0,1,1,1,2,1,1,0,1,0,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,2,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,2,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,1,1,2,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0
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2,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,2,2,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,2,0,1,1,0,0,2,0,0,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,2,1,1,0,0,0,0,1,1,0,1,0,2,0,2,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,2,0,0,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,1,0,0,0,1,2,0,0,1,1,1,2,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,2,2,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,2,1,1,1,2,0,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,1,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,2,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,2,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,1,1,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,1,1,2,1,0,1,0,0,2,1,0,2,1,1,1,1,0,0,2,0,0,0,1,1,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,2,2,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,2,0,0
1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,1,1,1,1,0,0,0,1,2,1,1,0,2,0,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,2,1,0,1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,2,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,2,0,0,0,2,0,0,1,0,1,1,2,0,1,0,0,1,2,0,1,1,2,0,1,0,2,0,1,0,0,0,0,0,1,2,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,2,1,0,1,2,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1,1,1,2,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,2,1,0,2,0,2,1,0,1,2,2,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,1,0,0,0,1,1,1,1,0,2,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,0,0,2,1,0,2,0,2,0,2,1,2,0,1,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2,2,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,2,2,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,0,2,2,0,1,2,1,0,2,1,0,1,0,0,1,1,0,2,1,1,0,1,2,0,1,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,2,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,2,2,1,0,1,2,0,1,1,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,2,0,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,2,0,0,0,1,1,2,1,0,0,2,1,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,2,0,0,1,1,0,1,2,1,0,0,2,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,0,1,2,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0
2,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,1,2,0,0,1,1,0,0,2,1,1,1,0,0,1,2,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,1,1,2,0,0,1,1,0,2,1,0,0,0,2,1,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,1,1,2,2,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,2,0,2,0,2,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,2,2,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,2,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,2,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,1,1,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,1,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,2,0,2,1,0,0,2,1,1,1,0,2,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,0,2,0,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,1,2,0,1,1,1,0,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0
1,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,0,0,0,2,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,2,1,1,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,0,1,1,1,2,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,2,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,2,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,2,0,0,1,0,0,0,1,1,2,1,0,1,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,2,1,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,0,0,0,0,1,2,1,0,2,0,0,0,1,1,0,2,0,0,2,1,1,1,1,2,1,0,0,2,1,0,1,0,0,0,0,2,0,2,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,1,0,1,1,0,2,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0,0,1,2,0,0,1,2,0,0,0,2,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,2,1,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,1,1,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,1,1,0,1,2,0,0,2,1,1,0,0,2,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,2,1,2,2,0,1,0,0,0,0,2,1,1,0,1,2,1,1,2,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,1,2,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,2,0,1,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,2,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,1,2,2,1,1,2,1,0,2,1,1,2,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,2,1,0,2,0,2,2,0,0,1,0,1,0,2,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,2,0,2,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,2,1,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,2,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0
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2,1,2,2,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,2,1,1,0,0,1,0,1,1,0,0,2,0,1,1,1,2,0,1,1,0,0,2,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,2,1,1,0,1,0,2,0,2,1,1,1,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,2,2,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,2,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,2,1,2,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,2,1,0,2,0,0,1,0,0,2,1,1,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,2,0,1,1,0,0,1,1,1,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,2,0,2,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,2,2,1,0,1,0,0,1,2,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,1,1,2,0,2,0,0,1,1,0,0,1,0,2,0,1,0,2,0,1,2,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,2,2,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,2,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,2,0,1,1,1,0,1,0,2,0,1,1,0,1,0,0,1,1,2,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,1,1,2,0,1,1,0,0,0,0,0,2,1,2,1,1,2,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,2,0,0,2,0,0,0,0,2,0,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0
1,0,0,1,1,0,1,1,1,1,2,0,1,2,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,2,0,2,2,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,1,2,1,0,0,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,2,1,2,2,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,2,1,1,0,2,1,2,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,2,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,2,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,2,2,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,2,0,1,1,1,1,0,0,1,1,2,2,2,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,2,0,0,2,0,1,1,1,0,2,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,2,0,1,0,0,0,1,2,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0
1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,2,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,0,1,0,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,1,1,1,1,2,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,2,0,0,2,1,2,0,0,2,1,0,1,2,0,1,1,0,0,0,1,2,1,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,1,1,0,0,2,0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,1,2,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,2,1,0,1,0,0,1,2,0,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,1,1,1,2,0,0,0,1,1,0,1,0,1,2,0,0,1,1,2,2,0,1,2,0,0,2,1,0,0,0,0,0,2,0,0,0,2,1,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,1,2,1,0,0,2,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,2,0,1,1,0,1,1,1,1,1,2,1,1,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,2,0,0,1,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,2,1,2,0,1,1,1,0,0,1,0,0,1,0,1,2,2,0,0,1,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,2,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0
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1,0,1,2,1,0,0,1,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,2,0,1,1,0,0,0,0,1,2,2,1,1,0,2,1,1,0,1,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,2,1,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,2,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,2,2,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,2,2,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,0,0,1,0,1,1,1,1,1,2,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,2,0,0,1,1,0,2,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,2,0,2,0,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,2,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,2,0,0,0,1,1,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,0,2,1,2,1,1,2,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,2,1,0,2,1,0,0,1,1,0,1,1,1,0,0,1,2,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,2,1,1,0,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,2,1,1,0
1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,2,0,2,1,0,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,2,0,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,2,2,1,0,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,2,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,1,0,1,0,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,0,2,1,0,0,0,0,1,1,2,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,0,1,0,1,1,1,2,1,0,0,2,0,0,2,1,0,0,0,1,1,1,0,0,2,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,2,1,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,2,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,2,0,1,2,0,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,2,0,0,0,0,2,0,2,0,2,1,1,0,1,0,0,2,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,2,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,2,0,2,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,2,1,2,1,1,0,1,2,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,2,1,0,2,2,0,1,1,0,1,1,0,1,2,1,2,0,0,1,1,0,2,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,2,1,1,0
1,0,0,1,1,0,2,1,1,2,2,0,0,2,0,0,0,2,0,0,0,1,0,0,0,2,2,1,2,0,1,0,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,2,0,1,0,2,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,1,1,0,0,0,1,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,2,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,2,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,2,1,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,2,0,0,1,0,2,2,1,1,0,2,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,2,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,1,0,1,1,0,2,1,0,2,2,0,1,2,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,2,1,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,2,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,2,1,1,0,1,0,1,2,1,0,0,2,0,0,1,2,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,1,1,2,0,0,2,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,1,1,1,2,1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,2,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,2,0,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,1,0,0,2,2,1,0,1,0,1,2,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,2,0,0,0,0,2,0,1,1,0
2,1,2,1,0,1,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,2,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,2,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,2,2,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,2,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,1,1,1,0,0,0,2,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,2,2,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,0,2,0,1,2,1,1,1,1,2,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,1,2,0,1,0,2,2,0,0,0,0,1,2,0,2,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,2,0,2,0,0,0,1,1,1,1,0,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,2,0,1,1,1,2,1,2,0,2,1,0,0,2,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,2,0,0,0,1,2,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,1,0,1,2,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,2,0,1,2,1,0,0,1,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0
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1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,0,2,1,2,0,1,0,1,0,2,2,1,1,2,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,2,2,1,0,1,1,1,0,2,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,2,0,0,1,2,2,2,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,1,0,0,2,2,0,0,0,1,0,2,2,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,2,1,1,1,0,2,0,0,1,0,1,1,0,1,0,1,2,0,1,1,2,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,2,1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,2,1,1,0,0,0,0,0,2,0,0,2,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,2,1,1,0,1,1,0,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,1,2,1,0,0,1,0,0,0,2,2,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,2,0,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,2,2,0,0,0,1,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,2,1,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,2,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,2,0,2,0,0,1,1,0,0,2,1,0,1,1,0,2,0,1,0,2,1,1,1,1,0,1,2,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,2,1,1,1,0,2,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0
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2,1,1,2,0,1,0,2,0,1,0,0,0,2,2,0,0,1,2,0,0,2,0,0,1,1,1,1,1,1,0,0,1,1,2,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,2,1,2,0,1,0,1,1,2,0,1,1,2,0,2,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,2,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,1,2,1,0,0,2,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,2,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,2,2,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,1,0,0,1,1,1,1,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,2,2,2,0,1,0,2,0,0,2,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,1,2,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,1,1,1,0,1,2,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,1,1,1,0,0,2,2,0,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,2,0,2,2,2,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,1,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,2,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,1,1,2,2,0,2,0,0,0,0,1,1,2,0,1,0,1,2,0,0,1,2,0,0,0,1,2,0,2,0,0,1,0,0,0,0,1,1,0,0,0
1,0,0,1,0,0,0,0,2,1,1,0,0,2,1,1,0,1,2,0,0,0,0,0,1,1,2,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,2,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,1,2,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,2,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,1,0,1,1,2,1,0,0,0,1,0,2,1,0,2,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,1,1,1,0,1,1,2,0,0,1,1,0,0,2,0,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,0,0,2,0,2,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,1,1,2,0,1,2,1,1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,1,2,2,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,2,1,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,2,0,2,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,1,2,1,0,1,1,2,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,0,2,0,0,2,0,2,0,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,2,0,0,0,0,2,1,2,1,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0
1,0,2,1,2,0,0,1,2,1,1,2,0,1,1,0,1,0,2,0,0,0,0,1,1,2,1,2,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,1,1,2,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,2,2,1,2,2,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,1,1,0,1,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,0,2,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,2,1,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,0,0,2,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,0,2,0,1,0,2,2,1,0,0,0,2,1,0,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,2,1,0,1,1,0,1,0,1,0,2,0,0,1,0,2,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,2,1,1,1,1,0,1,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,1,2,1,0,0,1,0,1,1,2,1,1,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,2,0,1,1,0,2,0,1,1,0,1,1,1,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,1,2,1,1,0,0,2,0,0,0,0,0,2,1,1,1,1,0,2,0,0,0,1,1,1,2,1,1,0
1,0,2,1,0,1,0,2,0,1,2,1,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,2,1,1,1,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,2,2,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,1,1,1,1,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,0,0,1,1,1,1,0,2,1,1,0,1,0,1,0,0,2,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,2,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,1,1,2,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,1,1,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,2,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,1,1,1,2,0,0,2,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,2,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,2,0,1,0,1,2,1,0,0,0,1,0,2,0,0,1,2,1,0,0,2,0,0,0,1,2,0,0,0,2,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,0,1,2,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,2,0,2,2,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,2,0,1,0,2,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0
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1,0,1,1,0,0,1,1,0,2,1,0,0,1,1,0,1,2,1,0,0,0,0,1,1,2,2,2,0,1,1,0,2,0,1,0,1,1,0,1,1,2,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,2,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,2,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,1,2,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,2,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,2,1,1,0,1,0,0,0,1,2,2,0,0,0,2,0,2,1,0,0,0,0,1,2,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,2,1,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,1,2,1,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,2,1,1,2,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,1,2,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,2,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,2,1,0,2,0,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,2,2,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0
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1,0,2,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,2,2,0,1,0,0,0,2,0,0,1,2,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,1,0,2,0,0,1,0,1,2,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,1,1,1,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,1,2,1,2,1,2,0,0,1,2,1,1,0,1,0,2,0,0,0,0,0,1,1,1,2,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,1,1,2,0,0,2,0,0,0,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,2,2,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,2,1,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,0,0,2,2,1,0,0,2,2,0,0,0,0,0,1,1,1,1,2,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,2,1,2,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0
1,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,2,0,0,2,0,0,0,0,1,0,1,1,0,1,1,1,2,0,1,1,1,0,2,1,2,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,2,0,0,2,1,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,2,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,1,2,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,2,2,0,0,0,1,0,2,0,0,0,0,1,2,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,1,0,1,2,0,0,1,0,1,0,1,1,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,2,0,1,1,1,2,2,1,0,0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,0,2,0,1,2,1,0,1,1,0,1,0,1,1,0,1,1,0,2,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,2,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,2,0,2,1,1,1,1,1,0,1,1,1,0,0,1,0,0,2,1,1,1,2,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,2,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,2,1,0,1,1,1,2,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,1,2,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,1,2,1,1,1,2,1,0,0,0,0,2,1,1,0,2,1,1,2,0,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,1,2,2,0,1,2,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,2,0,0,0,1,1,2,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,2,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,2,1,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0
2,0,1,1,1,0,0,2,2,1,0,2,1,1,2,0,1,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,2,1,1,2,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,2,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,1,0,2,1,0,1,0,1,1,0,2,0,0,1,0,1,0,1,2,1,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,2,1,1,2,2,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,2,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,2,0,1,0,1,2,0,1,1,2,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,2,1,0,2,1,1,0,1,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,2,0,1,2,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,2,1,1,1,1,0,0,0,2,2,1,0,2,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,2,2,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,2,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,2,0,0,0,1,2,2,1,0,0,1,2,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0
2,0,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,2,0,0,1,0,0,0,1,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,1,0,2,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,2,2,1,2,0,0,0,0,2,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,2,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,2,2,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,2,0,2,0,1,0,0,0,0,0,1,1,0,0,1,2,0,2,1,0,0,0,2,0,2,1,0,0,1,1,1,0,0,2,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,0,2,2,0,1,1,0,2,1,0,2,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,2,1,0,0,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,2,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,1,0,0,0,1,0,1,1,2,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,2,2,2,1,0,0,1,1,1,0,2,0,2,0,0,0,1,2,0,1,1,0,0,1,0,0,2,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,1,1,1,0,2,2,0,1,2,1,0,2,1,0,1,0,1,0,1,0,2,2,1,2,1,0,1,2,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,2,1,0,0,2,0,1,2,2,2,0,0,0,0,0,1,0,2,1,0,0,1,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0
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1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,1,1,1,1,0,1,0,0,0,2,1,2,2,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,2,1,1,0,1,0,0,1,1,0,0,0,2,1,1,0,1,1,1,1,0,1,0,0,0,2,1,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,2,0,1,1,0,2,0,0,1,1,1,0,0,2,2,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,1,1,0,1,2,1,0,2,1,0,1,2,0,0,0,0,1,1,1,1,0,0,2,0,2,1,0,1,0,1,0,0,2,0,0,0,0,2,1,0,0,1,2,0,0,1,2,1,0,0,2,2,1,0,1,0,0,0,1,2,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,2,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,1,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,1,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,2,0,1,1,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,1,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,2,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,2,0,2,1,0,0,1,1,1,0,0,2,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0
1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,2,1,2,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,2,0,1,2,1,2,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,2,1,0,1,0,1,1,2,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,2,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,2,0,1,1,1,0,1,0,0,1,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,1,1,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,2,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,2,0,0,2,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,1,0,1,1,0,2,0,1,0,0,0,1,1,2,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,2,2,2,1,1,0,0,1,0,0,2,1,1,2,0,0,0,1,2,0,1,1,0,2,1,0,1,1,1,0,0,1,2,1,2,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,2,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,2,0,0,1,0,1,0,0,1,2,0,1,0,0,1,0,2,1,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0
2,1,2,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,2,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,1,0,1,0,0,2,0,1,2,1,0,0,0,1,0,1,0,1,1,1,0,1,2,1,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,2,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,2,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,1,1,1,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,2,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,2,2,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,2,1,1,0,0,1,1,0,1,1,2,0,1,0,2,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,2,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,2,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,1,2,1,1,2,1,0,2,2,0,1,0,0,1,2,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,2,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,2,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0
1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,2,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,2,0,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,1,0,1,0,2,2,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,1,2,0,2,0,2,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,2,0,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,2,1,2,0,2,0,1,1,1,1,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,2,2,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,2,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,2,2,0,1,0,2,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,2,0,0,0,2,0,0,1,0,0,0,1,0,2,2,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,1,0,1,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,2,2,0,1,0,2,0,2,1,2,1,2,1,0,0,2,0,0,0,1,0,2,1,0,1,2,0,0,2,0,0,1,1,1,1,1,1,2,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,2,0,2,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,1,1,0,2,1,0,0,0,0,1,0,2,1,1,0,2,0,1,0,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,1,2,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,1,2,1,0,1,0,0,0,1,0,1,0,2,0,2,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,2,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,0
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1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,2,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,2,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,1,1,2,1,1,1,1,1,0,1,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,2,2,1,1,2,0,1,1,1,0,1,0,0,2,0,1,0,1,0,2,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,2,2,2,2,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,2,1,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,2,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,2,0,0,2,0,1,1,0,1,2,2,0,0,0,0,1,0,0,1,2,1,2,1,2,0,2,1,2,1,0,0,0,0,2,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,1,0,2,1,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,2,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,2,0,0,0,1,0,0,1,2,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,2,2,1,0,1,1,1,2,2,1,0,1,1,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,2,0,1,2,0,0,1,2,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,2,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,2,1,1,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,0,2,0,0,1,2,0,2,0,1,1,0,0,0,0,0,1,1,2,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,2,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,0,1,2,0,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,2,1,1,0,1,0,1,1,0,2,0,2,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,2,1,0,0,0,0,2,1,2,1,1,1,0,0,0,1,1,0,0,0,2,1,1,0,2,0,0,1,0,0,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,1,2,2,1,2,0,2,1,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,2,2,1,0,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,2,1,1,2,2,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,2,2,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,1,1,0,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0