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