[0,0,1,1,2,1,3,2,4,2,4,3,5,3,6,4,7,4,8,4,9,4,10,5, 11,5,11,6,11,6,12,7,13,7,14,8,15,8,16,9,17,9,18, 10,19,10,19,11,20,11,20,11,21,11,22,11,23,11,24, 12,25,12,26,13,26,13,27,14,28,14,29,15,30]