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