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