[0,0,1,2,2,2,2,1,2,3,2,4,1,2,3,3,3,4,2,4,3,4,3,6, 3,2,3,4,4,6,3,5,3,4,5,8,3,2,5,5,4,7,4,7,4,2,4,11, 3,1,4,7,4,7,6,7,3,4,5,12,3,2,4,8,7,8,5,9,4,2,6,14, 5,2,6,7,7,9,5,9,4,4,5,14,8,2,5,8,7,10,6,9,6,2,8, 15,5,3,5,8]