[0,0,1,0,2,1,3,0,1,2,4,1,5,3,2,0,6,1,7,2,3,4,8,1, 2,5,1,3,9,2,10,0,4,6,3,1,11,7,5,2,12,3,13,4,2,8, 14,1,3,2,6,5,15,1,4,3,7,9,16,2,17,10,3,0,5,4,18,6, 8,3,19,1,20,11,2,7,4,5,21,2,1,12,22,3,6,13,9,4,23, 2,5,8,10,14,7,1,24,3,4,2,25,6,26,5,3,15,27,1]