[0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,5,5,5,5, 5,5,5,6,6,6,7,8,8,8,8,8,8,8,8,8,9,9,9,10,11,11,11, 11,12,13,13,13,13,13,13,13,13,13,13,13,13,14,14, 14,15,16,16,16,16,17,18,18,18,18,18,18,18,19,20, 20,20]