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701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
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701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
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701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,496,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,545,498,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,561,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,577,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,336,336,336,336,336,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,111,111,111,111,111,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,701,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2