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