[2,3,2,4,5,2,6,6,7,2,4,8,3,9,2,10,10,11,2,6,12,12, 12,13,2,14,14,3,15,15,2,4,8,16,17,2,6,6,18,18,19, 2,4,20,10,20,3,21,21,2,22,22,23,2,6,12,12,24,24, 24,5,25,2,26,26,3,9,27,2,4,28,14,28,29,2,6,15,30, 30,30,30,31,2,4]