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