2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 5, 4, 4, 4, 6, 6, 7, 7, 7, 6, 7, 6, 6, 4, 6, 6, 7, 7, 7, 6, 7, 6, 6, 4, 6, 6, 7, 7, 7, 6, 7, 6, 6, 5, 7, 7, 8, 8, 8, 7, 8, 7, 7, 4, 6, 6, 7, 7, 7, 6, 7, 6, 6, 6, 7, 6, 7, 8, 7, 6, 9, 8, 8, 8, 8, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 10, 11, 10, 9, 12, 11, 11, 3, 4, 5, 6
