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