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