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