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