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