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