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