2, 2, 3, 2, 3, 2, 5, 3, 5, 6, 2, 3, 5, 6, 7, 2, 3, 5, 6, 8, 2, 3, 7, 8, 2, 6, 7, 8, 10, 2, 3, 5, 6, 7, 8, 10, 11, 2, 5, 6, 7, 8, 11, 3, 5, 6, 10, 12, 13, 2, 3, 5, 7, 8, 11, 12, 13, 14, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 3, 5, 6, 7, 10, 11, 12, 14, 2, 3, 5, 6, 8, 11, 12, 14, 15, 17, 2, 3, 8