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