[0,1,0,1,0,1,1,1,1,1,1,2,1,2,1,2,2,2,2,2,3,2,3,2, 3,3,3,3,3,4,3,4,3,5,3,5,3,5,4,5,4,5,5,5,5,5,6,5,6, 5,7,5,7,5,8,5,8,5,8,6,8,6,8,7]