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