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