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