[1,2,2,3,3,2,4,5,4,2,5,6,6,5,2,6,8,7,7,5,2,7,9,10, 8,8,5,2,8,11,11,11,9,9,5,2,9,12,13,13,12,10,9,5,2, 10,14,15,15,14,13,11,9,5,2,11,15,17,17,16,15,14, 12,9,5,2,12,17,18,19,19,17,16,15,12,9,5,2,13,18, 21]