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