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