[0,1,2,2,3,3,4,3,4,4,4,4,5,5,5,4,6,5,6,5,6,5,6,5, 6,6,6,6,6,6,5,5,6,7,7,6,7,7,7,6,7,7,8,6,7,7,7,6,8, 7,8,7,8,7,7,7,8,7,8,7,8,6,8,6,8,7,9,8,8,8,8,7,9,8, 8,8,8,8,7,7,8,8,8,8,9,9,8,7,9,8,9,8,7,8,9,7,8,9,8, 8,9,9,9,8,9,9,10,8,8,8]