[0,0,1,1,1,1,1,2,2,3,3,4,2,1,4,5,3,4,3,4,3,6,3,2, 5,3,5,4,4,3,4,3,4,5,3,4,1,3,4,7,5,4,3,6,4,3,4,5,3, 4,3,4,5,4,5,5,3,3,5,6,3,5,5,3,5,2,9,2,5,3,8,3,3,3, 7,8,2,1,5,5,6,2,6,3,6,3,5,2,5,5,2,3,2,2,8,2,15,7, 5,4,6,3,3,5,4]