[0,0,1,3,0,2,5,1,6,0,3,7,2,8,1,9,0,4,9,3,10,2,11, 1,12,0,5,11,4,12,3,13,2,14,1,15,0,6,13,5,14,4,15, 3,16,2,17,1,18,0]