[0,0,0,0,1,1,1,1,2,1,2,3,2,2,3,1,3,4,2,2,4,2,3,5, 3,3,5,2,4,6,2,4,6,2,4,6,4,4,7,4,4,8,4,4,9,3,5,7,3, 5,8,4,5,8,5,6,10,5,6,12,4,5,10,3,6,9,5,5,8,6,7,11, 6,5,12,3,7,11,5,7,10,5,5,13,8]