2, 3, 4, 3, 5, 4, 6, 4, 5, 4, 7, 5, 6, 4, 5, 8, 6, 5, 7, 4, 5, 6, 9, 4, 7, 6, 8, 5, 6, 5, 7, 4, 10, 5, 8, 6, 7, 9, 6, 5, 7, 6, 4, 8, 11, 5, 6, 5, 9, 7, 8, 4, 10, 7, 6, 5, 8, 6, 7, 5, 9, 12, 5, 7, 6, 4, 10, 8, 7, 9, 11, 5, 8, 6, 7, 6, 9, 7, 8, 6, 10, 5, 13, 7, 6