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