[1,0,0,1,0,0,1,0,0,1,0,1,2,0,1,2,0,1,2,0,1,2,1,2, 3,1,2,3,1,2,3,1,2,4,2,3,5,2,3,5,2,3,5,2,4,6,3,5,7, 3,5,7,3,5,7,4,6,8,5,7,9,5,7,9,5,7,10,6,8,11,7,9, 12,7,9,12,7,10,13]