N=100000;
R=40;
Q=31470;
s=[1,1,0,0,1,2,2,1,2,0,2,1,1,2,1,0,1,1,2,0,1,2,2,1,1,0,0,0,0,2,1,0,1,1,1,2,1,2,2,1,0,1,0,1,0,1,2,0,1,1,0,2,1,2,1,1,1,1,0,1,2,1,1,1,1,0,0,2,2,0,0,2,0,0,0,0,2,1,0,1,1,2,0,1,0,0,0,2,1,1,0,1,1,2,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,2,0,0,1,2,0,2,0,2,1,1,0,0,0,2,0,2,2,2,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,2,2,1,1,2,1,1,1,0,2,0,0,0,2,1,1,0,1,0,0,2,1,2,2,1,2,1,0,1,1,0,0,1,0,2,1,1,0,1,0,0,2,2,0,0,0,0,0,1,2,0,1,0,1,2,2,1,1,2,2,0,0,2,2,0,2,2,0,2,2,2,1,1,2,2,1,2,0,1,0,1,2,0,0,2,0,2,0,0,1,0,1,1,0,1,2,0,2,1,1,0,2,0,1,1,2,2,1,1,1,1,1,0,2,1,0,0,1,0,2,1,0,2,2,0,2,0,0,2,0,0,0,0,0,0,0,2,0,0,2,1,1,2,1,0,1,1,0,2,1,1,1,0,2,1,1,2,2,2,2,1,1,0,0,2,2,1,0,2,1,2,2,0,0,0,1,2,1,1,2,0,1,2,1,1,1,2,2,2,1,2,1,1,1,1,1,2,2,0,1,2,2,2,1,0,2,0,1,1,2,0,1,0,2,1,0,1,1,0,0,2,2,2,2,1,2,1,2,0,1,0,0,2,0,0,2,1,0,1,1,0,1,0,0,1,2,2,1,0,0,1,1,2,2,0,0,2,2,0,2,2,0,0,1,2,2,0,0,1,2,2,2,0,0,1,2,0,1,1,0,0,2,1,1,1,0,0,1,2,1,2,1,1,1,1,0,0,1,1,1,2,1,1,1,2,0,2,0,0,0,1,2,2,1,1,2,1,2,1,0,2,0,1,0,0,0,1,1,1,1,1,1,0,2,2,2,0,2,1,1,1,2,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,2,2,0,1,0,2,2,1,2,2,1,1,2,2,1,1,2,1,1,2,2,1,0,2,2,1,0,2,0,0,1,0,1,1,2,2,1,0,2,2,1,1,1,2,1,0,1,0,2,1,2,2,0,1,1,2,1,2,2,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,2,0,1,1,0,1,2,2,0,0,1,0,2,0,1,2,2,2,1,2,1,0,0,1,2,0,1,2,1,2,0,1,0,0,2,0,0,1,1,1,1,2,2,1,1,2,0,1,1,0,0,1,2,2,1,1,2,1,0,1,2,0,2,0,0,0,2,2,0,0,0,2,2,0,1,2,2,1,2,1,0,1,2,2,1,2,0,0,1,1,1,0,0,1,0,2,0,1,0,2,0,0,0,2,0,0,0,1,1,0,2,0,0,2,0,1,2,2,0,2,2,2,2,1,2,1,2,1,2,0,0,2,1,2,2,0,0,1,2,1,0,1,1,0,2,2,0,0,1,2,0,2,1,2,1,1,0,0,0,2,1,2,0,1,0,0,0,2,1,1,2,1,2,2,1,1,0,2,1,1,0,2,1,2,0,1,1,0,2,1,1,0,2,1,0,1,1,2,2,2,2,1,2,0,2,0,1,2,1,0,0,1,1,1,1,0,1,0,2,1,2,2,0,2,0,1,0,2,1,2,0,1,1,1,1,0,2,2,0,1,0,0,0,2,1,1,0,2,1,2,2,2,1,0,1,2,0,1,1,0,0,0,0,0,1,2,1,0,1,0,2,1,2,2,1,0,0,0,1,0,1,0,2,2,1,0,1,1,1,2,2,0,2,2,2,1,0,1,0,1,0,1,1,2,2,1,0,0,0,2,0,2,1,2,1,2,2,2,2,1,2,0,2,1,2,1,0,2,1,1,2,1,1,0,0,1,2,1,0,2,1,2,0,0,1,1,0,2,0,2,1,1,1,1,1,2,2,1,1,2,1,2,1,0,2,1,0,2,1,0,2,0,0,1,0,1,0,0,0,1,2,0,1,0,2,1,0,2,0,0,2,2,2,1,1,0,0,1,1,0,2,1,1,0,2,2,0,2,2,2,1,0,0,2,2,1,1,1,0,2,0,0,0,2,0,2,1,2,0,2,0,0,0,1,2,1,0,1,0,1,0,0,2,0,2,2,1,2,0,0,1,2,2,2,2,2,0,0,1,2,1,1,2,0,2,0,2,2,0,0,0,0,1,2,2,0,1,2,1,2,0,1,0,2,2,0,1,0,1,0,2,2,1,1,2,2,0,0,0,2,0,2,2,2,0,0,2,0,2,1,1,0,1,2,0,0,0,1,0,0,2,2,2,1,2,1,2,0,2,2,0,1,2,1,2,2,2,0,0,0,2,2,0,1,2,0,2,0,1,0,0,1,2,2,0,2,1,1,2,0,0,2,2,2,1,1,2,2,0,0,1,0,2,0,0,2,0,0,0,1,1,0,2,2,1,1,2,2,2,0,1,2,2,0,0,0,1,0,0,0,2,1,2,0,0,2,0,1,2,2,2,0,1,2,0,0,2,0,2,2,1,2,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,2,2,2,0,1,0,1,2,0,0,2,0,1,0,1,2,2,0,1,2,2,0,1,2,1,0,2,0,1,0,1,0,1,0,0,2,0,0,1,0,1,1,1,1,2,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,1,0,2,1,0,2,1,1,1,1,1,0,2,2,2,0,2,0,0,0,2,2,2,2,0,1,2,1,1,0,1,2,2,0,2,1,0,1,0,0,2,2,2,2,2,2,0,2,2,2,1,1,1,1,1,2,0,0,1,0,1,0,0,2,2,2,0,0,2,2,1,2,0,2,0,1,0,1,0,2,2,1,2,0,1,2,0,1,0,2,1,2,0,2,0,2,0,2,0,2,1,2,0,0,2,1,0,0,1,2,1,0,2,0,1,2,0,2,0,2,2,2,0,1,0,1,2,0,2,1,0,0,2,2,1,1,0,2,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,2,1,0,2,1,2,0,1,1,0,1,2,0,1,2,2,2,0,1,2,2,2,1,2,1,0,1,0,0,1,1,1,0,2,0,1,0,0,1,2,1,2,1,0,2,2,2,1,1,1,0,2,0,2,1,1,0,1,2,2,1,1,1,2,2,1,0,1,1,1,0,0,1,0,0,0,1,0,2,2,1,2,0,2,2,1,1,1,0,0,2,0,2,0,2,0,0,1,1,1,0,0,0,0,2,2,0,0,0,0,1,2,2,2,2,2,2,1,2,1,0,0,1,1,0,0,0,2,1,1,2,0,2,0,1,2,0,2,1,1,2,2,1,0,1,2,0,0,1,0,0,2,1,1,1,2,2,0,1,1,1,0,2,0,2,0,0,0,1,0,1,2,0,0,0,2,0,0,2,0,1,0,2,2,0,2,1,2,0,0,0,0,1,1,0,2,1,0,2,0,2,2,0,0,1,1,2,0,0,0,2,1,1,1,2,2,0,1,0,2,0,1,0,2,2,1,0,2,0,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,1,2,2,2,0,1,1,0,2,2,0,1,1,0,2,1,1,1,0,2,1,0,2,0,0,0,2,0,1,0,2,2,2,2,1,0,0,1,2,0,1,1,0,0,1,2,2,1,0,2,0,0,1,1,2,0,0,0,1,1,2,0,1,1,2,0,0,1,1,2,1,2,0,1,1,2,2,2,2,1,1,1,2,1,1,2,0,0,0,0,2,1,0,2,2,2,2,2,1,2,2,1,1,0,0,1,2,2,1,2,2,0,0,1,0,0,1,0,0,0,1,0,1,2,2,2,2,0,1,0,2,0,1,0,2,2,2,1,1,1,2,2,2,2,0,1,1,2,2,2,2,0,2,0,0,2,2,2,2,2,0,1,1,1,0,1,2,2,1,1,2,0,2,0,0,1,2,0,2,1,2,2,0,2,1,2,2,1,2,1,1,1,2,2,1,0,0,0,1,2,0,2,2,0,1,1,0,2,2,2,2,2,2,0,0,0,0,1,1,2,0,2,0,1,1,0,1,0,2,0,2,1,2,1,0,1,2,1,0,0,1,0,0,1,1,2,2,0,2,2,0,0,0,2,0,0,2,0,1,1,1,0,1,1,2,0,2,2,1,0,1,2,0,1,2,0,1,2,1,1,0,1,1,0,2,0,0,2,2,1,0,1,1,1,2,1,0,0,1,2,1,1,1,2,0,0,2,2,1,0,0,1,2,1,1,0,1,1,0,2,2,0,1,0,0,2,2,1,1,1,2,0,2,2,2,1,2,1,2,0,2,2,2,2,0,1,1,2,0,0,0,2,2,1,2,0,0,2,1,0,2,2,0,2,1,1,2,1,1,2,0,2,2,0,0,1,2,2,2,2,1,2,2,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,2,1,2,2,1,2,2,0,1,0,0,2,1,2,2,1,1,2,2,0,1,1,2,0,2,0,1,0,1,2,2,1,1,2,2,1,0,1,1,1,0,1,0,1,1,2,2,0,0,1,2,2,2,1,0,2,2,1,2,1,0,2,0,2,1,2,2,1,2,0,0,2,1,1,1,2,0,1,0,2,1,2,1,2,2,0,2,2,1,2,2,2,1,2,2,2,1,2,1,2,1,0,2,1,1,0,1,1,2,2,0,0,2,0,2,1,1,1,0,1,1,1,1,2,1,2,0,0,1,0,1,0,0,0,2,2,1,2,2,0,0,1,1,1,0,2,1,1,2,1,2,2,2,1,0,0,1,2,2,0,1,1,0,1,1,1,0,2,2,0,1,2,0,1,0,1,0,1,2,0,0,2,2,2,1,1,2,0,1,0,0,1,1,1,1,0,1,1,0,1,2,0,2,1,2,1,2,1,0,0,2,0,1,2,1,2,1,0,0,0,1,2,0,0,2,0,0,1,2,0,0,2,0,1,1,0,1,2,2,0,2,2,0,1,1,2,0,0,1,1,2,0,2,0,1,0,1,2,0,0,0,2,0,2,2,2,0,1,1,1,1,2,2,2,1,2,0,0,1,2,2,0,2,2,1,0,0,0,1,1,2,0,2,0,0,1,0,1,2,0,1,2,1,1,2,0,0,2,0,1,1,0,2,0,0,1,1,2,0,1,1,2,2,2,2,1,0,0,2,1,1,2,2,0,2,0,2,1,1,1,2,0,0,0,1,0,1,0,2,2,1,2,1,0,0,2,1,2,1,2,1,0,1,0,1,0,1,2,0,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,2,0,0,2,0,2,0,2,0,0,0,1,2,1,0,0,0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