[0,1,2,3,3,3,4,4,4,4,5,4,6,5,5,5,7,3,8,5,6,6,9,5, 5,7,5,6,10,6,11,6,6,8,6,6,12,9,8,6,13,5,14,7,6,10, 15,6,6,4,8,8,16,3,7,7,10,11,17,5,18,12,5,7,7,7,19, 9,10,5,20,7,21,13,6,10,7,7,22,7,7,14,23,7,9,15,12, 8,24,7,8,11,12,16,10,7,25,5,8,7,26,9,27,9,7]