[0,0,1,2,1,2,1,2,1,2,0,2,2,3,1,2,1,3,2,3,2,3,2,4, 2,3,1,2,2,4,2,4,3,5,1,4,2,4,2,3,1,5,3,6,3,5,2,6,2, 5,3,5,3,6,3,4,3,6,2,7,3,6,4,6,2,6,4,5,4,6,3,8,5,9, 4,8,4,8,3,8,6,9,3,9,6,8,3,7,5,10]