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