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