FF1 := [ [4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,1,2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,-2,-1,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,-1,-2,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,-2,-1,0,0,-2,-1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,-1,-2,0,0,-1,-2,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,-2,-1,0,0,-2,-1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,0,0,-1,-2,0,0,-1,-2,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,-2,-1,0,0,-2,-1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,0,0,-1,-2,0,0,-1,-2,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,-2,-1,0,0,-2,-1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,-1,-2,0,0,-1,-2,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,-2,-1,0,0,-2,-1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,-1,-2,0,0,-1,-2, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,0,0,0,0, 1,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,2,4,0,0,2,4,0,0,1,2,0,0,1,2,0,0,1,2,0,0,0,0,0,0, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,0,0, 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0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0,1,-1, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0,2,1, 1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2,0,0, 2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2,0,0, 0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,1,-1,0,0,2,-2, 0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,4,2]]; FF2 := [ [8,2,4,2,0,3,-2,0,0,-2,-1,1,-1,0,-1,2,0,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 2,8,4,-2,3,2,2,0,2,-1,1,2,1,0,1,0,-2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 4,4,8,0,0,4,1,-1,-2,-1,-1,1,-1,-2,1,0,-2,-1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 2,-2,0,8,0,0,0,0,0,0,0,0,0,1,0,3,-1,0,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,3,0,0,8,2,-3,-1,-1,0,0,-3,0,2,0,0,0,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 3,2,4,0,2,8,0,0,-4,-2,-3,-2,-4,-2,-2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -2,2,1,0,-3,0,8,3,3,3,4,4,2,-1,2,-2,-1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,-1,0,-1,0,3,8,2,4,0,4,2,0,3,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,2,-2,0,-1,-4,3,2,8,2,3,4,2,2,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -2,-1,-1,0,0,-2,3,4,2,8,3,2,4,2,3,-2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1,1,-1,0,0,-3,4,0,3,3,8,2,4,1,2,-2,-1,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,2,1,0,-3,-2,4,4,4,2,2,8,4,-2,2,0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1,1,-1,0,0,-4,2,2,2,4,4,4,8,0,4,-2,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,-2,1,2,-2,-1,0,2,2,1,-2,0,8,2,2,3,3,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1,1,1,0,0,-2,2,3,0,3,2,2,4,2,8,2,1,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 2,0,0,3,0,0,-2,0,0,-2,-2,0,-2,2,2,8,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,-2,-2,-1,0,0,-1,2,2,1,-1,0,-1,3,1,0,8,1,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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