n= 378;
m= 703;
MM=[    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,142884 ];
AA=[   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,   13,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3,    3 ];
a=[
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