[0,0,1,1,2,2,3,1,3,3,2,4,4,4,4,5,5,3,5,7,5,4,5,6, 6,8,6,7,6,6,8,8,10,6,10,8,8,6,10,8,9,7,9,11,10,6, 10,11,11,8,12,10,10,14,13,14,13,9,10,13,12,12,14, 16,11,13,13,14,18,13,18,14,14,17,14,16,14,16,15, 16,16,17,16,16]