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