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