N=100000;
R=50;
Q=42;
s=[1,1,3,0,1,1,3,1,1,0,1,1,0,3,1,1,1,0,1,1,1,1,4,1,2,1,0,1,1,1,1,1,3,2,3,1,1,1,4,1,0,3,1,4,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,2,1,1,0,3,1,1,1,1,1,2,3,1,0,4,1,1,4,1,3,1,1,3,3,3,4,1,1,2,1,1,3,2,4,1,2,2,1,3,4,1,0,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,0,0,3,1,1,1,1,2,1,1,1,1,3,0,2,1,2,2,1,2,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,2,1,1,1,2,0,1,2,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,3,0,1,1,0,1,1,3,3,1,0,1,3,1,3,1,0,2,2,1,1,1,4,1,1,0,1,4,2,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,3,3,1,1,1,1,3,1,1,3,0,1,0,1,1,2,1,1,2,1,1,3,1,1,1,1,1,1,4,1,1,4,1,1,1,3,1,1,2,1,4,1,3,1,1,0,1,1,0,1,1,1,1,3,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,3,4,1,2,1,2,0,2,1,0,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,2,1,1,3,1,1,1,1,0,1,3,1,0,1,1,1,1,1,1,1,2,1,1,1,1,2,1,4,1,1,1,1,2,0,1,1,1,1,1,4,3,1,4,1,1,1,1,1,1,2,1,1,1,1,1,3,2,1,1,3,2,3,1,2,0,1,1,0,3,1,1,1,0,1,3,1,1,1,1,1,0,1,3,1,0,1,1,3,2,1,1,1,3,1,1,1,1,1,1,3,1,2,1,3,1,3,1,1,1,3,2,1,1,1,1,1,4,1,4,1,1,1,1,3,1,1,1,2,3,0,1,1,1,1,1,1,1,0,1,0,3,1,1,1,3,0,1,0,1,1,1,1,3,0,4,1,2,1,1,3,1,1,4,0,1,1,1,1,1,3,0,1,1,3,0,1,3,0,1,1,1,0,1,2,0,3,3,1,1,1,1,1,2,2,1,1,1,0,1,1,2,1,1,4,4,1,3,1,0,2,1,1,0,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,1,0,1,1,1,1,4,0,3,1,1,1,1,2,1,1,3,0,1,1,1,1,4,1,2,3,1,1,0,4,2,4,4,4,1,1,1,1,2,1,1,1,2,1,1,1,1,1,0,1,1,1,1,2,3,0,4,1,1,4,0,1,0,2,1,1,1,1,3,1,0,1,1,4,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,0,1,1,1,1,1,3,1,1,2,1,1,3,1,2,2,3,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,2,1,1,1,0,1,1,1,0,1,1,1,0,3,0,1,2,1,2,0,1,0,1,4,1,1,1,0,1,1,4,1,1,3,2,3,1,1,2,1,1,3,1,1,1,1,0,1,1,0,2,1,1,1,1,0,1,1,2,3,1,1,1,4,1,1,1,1,1,3,1,4,1,1,3,1,0,3,1,1,1,1,1,2,1,1,1,1,0,3,2,3,1,4,1,3,1,1,1,0,0,1,1,1,3,2,1,1,1,2,1,1,1,1,0,1,4,1,1,1,2,1,1,1,1,0,4,1,3,1,4,1,1,3,1,1,4,2,0,1,2,1,1,2,0,3,2,0,1,1,1,1,0,1,1,2,1,3,2,1,1,1,1,1,1,1,2,3,1,1,1,1,1,0,1,2,2,3,1,1,1,0,1,1,0,3,0,1,3,1,1,1,1,0,1,0,1,0,1,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,1,1,1,1,2,3,1,3,3,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,0,1,2,1,1,1,3,2,0,1,2,1,1,1,1,1,1,1,1,3,1,1,1,4,1,1,1,3,1,0,1,1,1,1,1,1,1,1,1,1,1,4,1,2,1,1,1,1,1,4,0,1,2,3,1,0,1,1,1,2,0,1,1,1,1,1,1,0,1,4,1,1,4,1,1,1,1,0,1,1,1,3,2,1,1,1,1,1,1,1,3,1,1,0,1,0,1,1,2,1,3,1,1,2,1,1,1,1,1,1,1,3,1,1,0,3,1,1,1,2,2,1,2,2,1,1,0,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,2,1,1,1,1,1,3,3,3,3,1,0,1,4,1,1,1,1,2,1,3,3,2,1,1,1,1,0,1,1,1,0,1,1,1,1,1,2,1,1,2,0,1,0,1,1,1,2,1,1,2,3,2,1,3,1,1,2,1,0,1,1,2,2,2,0,1,0,1,1,0,1,0,1,3,1,1,1,1,4,1,1,3,1,2,3,1,3,2,1,2,1,2,1,1,0,3,1,1,1,1,2,1,1,1,1,2,3,1,1,2,1,1,2,1,1,1,1,1,2,1,3,0,2,1,4,1,1,1,1,3,1,3,0,1,1,1,3,0,1,1,2,1,1,2,2,1,4,1,1,4,1,0,0,1,1,1,1,1,2,1,1,1,1,1,1,0,1,0,1,1,1,4,1,2,1,1,1,1,4,3,3,1,1,0,1,2,1,1,1,1,1,2,1,0,2,1,1,2,1,1,1,1,1,1,1,1,0,1,3,1,1,4,2,1,1,1,3,1,0,1,3,1,2,1,2,1,1,1,2,1,1,3,1,1,1,2,1,0,1,1,1,0,1,3,1,0,1,1,1,1,1,1,0,1,1,1,2,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,3,1,1,3,1,1,3,1,1,1,2,1,3,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,2,2,0,2,1,1,1,1,4,1,1,1,2,1,1,1,2,1,1,2,1,1,2,2,1,2,1,1,1,2,1,1,3,3,1,1,1,3,1,2,1,2,1,1,2,1,4,1,1,2,2,1,1,1,3,1,1,3,3,0,1,1,2,1,1,1,1,1,1,1,1,0,3,3,0,2,2,3,4,0,1,0,1,3,1,1,1,1,1,1,1,0,1,4,2,1,1,1,4,1,1,0,0,1,2,1,2,1,0,1,1,4,1,3,1,1,1,1,1,1,1,1,1,0,1,1,1,1,3,1,1,1,4,0,1,1,1,3,1,1,1,1,1,1,3,0,3,1,1,1,1,1,3,1,2,3,1,1,1,1,3,4,1,1,0,2,1,2,1,2,1,1,4,2,1,0,1,1,1,1,1,1,1,1,2,1,0,1,1,1,1,3,3,1,1,1,0,3,1,1,1,4,2,1,1,1,1,1,4,1,2,1,3,1,1,1,1,1,2,1,2,1,1,1,0,2,1,3,0,0,4,1,1,0,1,1,1,1,1,1,0,1,4,1,1,1,0,1,1,1,1,1,1,1,1,2,1,1,1,1,4,1,0,1,3,1,1,1,1,1,1,1,2,2,3,1,1,0,1,1,3,1,0,0,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,2,1,1,1,1,3,3,1,1,1,2,1,2,1,1,1,1,4,1,2,3,1,0,1,1,1,1,1,1,1,3,1,2,2,3,2,1,1,1,4,3,1,2,1,2,1,1,3,1,1,0,4,1,3,1,3,1,1,1,3,1,1,1,1,2,0,1,0,1,1,2,1,1,2,1,0,1,1,1,2,1,1,1,1,0,1,1,3,1,2,1,1,4,1,3,1,2,3,1,1,4,1,2,1,1,1,1,4,1,1,3,1,1,2,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,3,4,0,1,3,0,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,2,1,4,1,4,1,3,0,1,1,1,3,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,0,1,0,0,1,2,1,1,1,2,1,1,1,1,1,2,1,0,4,0,1,1,1,2,1,1,1,1,1,1,0,1,1,1,1,2,3,1,1,1,0,1,1,1,2,1,3,1,3,1,2,1,3,1,1,1,0,1,1,1,4,1,1,1,0,0,2,3,1,3,1,1,1,2,3,1,1,0,3,3,1,1,2,0,1,1,4,1,1,4,1,1,2,2,1,1,1,1,1,1,4,1,1,1,1,0,1,1,1,3,1,0,3,3,1,1,0,1,2,1,1,0,1,2,1,2,1,3,0,1,1,1,1,1,0,2,2,1,0,1,4,1,1,1,1,1,0,1,1,2,1,3,1,1,1,0,1,3,1,3,3,1,1,1,3,1,0,0,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,3,1,3,1,1,1,1,1,4,1,1,1,0,1,1,1,1,1,0,1,1,1,3,1,1,1,1,0,1,1,3,1,1,1,4,1,1,1,1,1,1,1,1,1,2,1,4,1,1,1,2,1,1,1,1,0,1,1,1,1,4,4,1,2,1,1,1,1,1,3,1,0,3,0,1,1,1,1,1,1,2,1,1,1,2,0,0,4,1,1,0,2,1,1,1,1,1,1,1,2,1,1,2,1,0,1,1,1,3,1,0,3,4,1,3,1,1,2,3,1,1,4,1,1,1,1,1,3,3,3,1,1,0,1,3,3,0,1,1,1,1,0,1,1,1,1,0,1,1,3,0,0,1,3,1,1,1,1,3,2,1,3,1,2,1,2,1,1,1,1,2,1,0,1,0,1,1,2,3,4,1,0,1,4,1,1,0,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,4,1,1,1,4,1,1,1,3,3,1,1,1,1,2,1,1,1,1,3,1,1,1,1,0,1,1,1,1,1,2,4,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,3,0,3,0,1,0,1,1,1,0,3,2,3,0,3,1,1,1,1,3,1,1,1,0,1,1,1,1,1,1,4,1,0,1,1,0,1,1,2,1,1,1,0,1,1,1,1,1,0,1,0,1,2,2,1,1,3,0,3,1,0,1,1,1,1,2,1,1,3,1,1,1,2,2,1,2,1,1,1,1,4,1,2,1,2,1,4,1,1,1,3,2,0,1,1,1,0,0,1,1,1,1,3,0,1,1,2,1,1,1,1,0,0,1,2,1,1,1,1,3,1,4,3,2,1,2,1,1,1,1,3,1,1,0,1,1,1,0,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,4,3,1,1,1,2,1,1,1,1,1,1,2,1,1,1,4,0,1,0,1,1,3,1,1,1,1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