[1,2,1,3,2,1,4,3,2,5,4,3,2,6,4,3,7,5,8,6,9,7,5,4, 3,10,8,6,5,11,8,6,5,12,9,13,10,14,11,8,15,12,9,16, 13,10,8,6,17,13,10,18,14,19,15,20,16,12,10,21,17, 13,22,17,13,23,18,24,19,25,20,15,26,21,16,13,27, 22,17,14,11,10]