[0,0,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,2,2,1,1,1,2, 2,2,1,1,1,2,2,3,2,1,1,2,2,3,3,2,1,1,2,2,3,4,3,1,1, 1,2,2,3,4,4,3,1,1,1,2,2,3,4,5,4,3,1,1,1,2,2,3,4,5, 5,5,3,1,1,2,2,3,4,5,6,6,5,2,1,1,2,2,3,4,5,6,7,7,5, 2]