[0,1,0,1,2,1,2,3,3,3,4,4,5,6,6,6,8,7,9,9,9,10,11, 11,12,12,13,14,13,14,16,17,17,18,18,19,19,21,21, 21,23,22,24,24,24,25,27,28,29,28,29,30,30,32,32, 33,33,34,34,35,36,36,39,39,39,39,42,42,44,43,44]