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