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