5, 4, 5, 3, 4, 0, 5, 6, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 3, 4, 4, 5, 4, 6, 7, 7, 4, 9, 2, 5, 3, 4, 6, 4, 7, 3, 6, 3, 6, 2, 4, 6, 4, 2, 8, 3, 3, 6, 3, 4, 5, 5, 6, 5, 5, 6, 4, 4, 3, 3, 7, 1, 7, 3, 5, 4, 3, 6, 4, 3, 5, 5, 3, 7, 6, 4, 3, 2, 7, 3, 6, 4, 1, 7, 3, 3, 7, 4, 6, 2, 4, 3, 4, 1, 3, 4, 6, 3, 4, 7, 4, 8, 6, 4, 4, 4, 4, 6, 3, 4, 2, 3, 4, 4, 5, 3, 6, 1, 6, 4, 4, 4, 6, 3, 6, 4, 5, 6, 5, 5, 4, 3, 9, 5, 4, 6, 6, 6, 2, 3, 4, 5, 4, 4, 6, 4, 4, 5, 4, 3, 5, 5, 4, 7, 4, 4, 6, 6, 5, 4, 5, 5, 5, 4, 4, 6, 4, 5, 6, 3, 2, 2, 4, 4, 6, 1, 2, 2, 6, 3, 2, 4, 4, 2, 8, 3, 3, 4, 6, 6, 8, 5, 4, 5, 5, 3, 2, 3, 6, 6, 4, 4, 3, 5, 5, 3, 4, 2, 5, 7, 3, 4, 6, 2, 3, 3, 6, 4, 3, 6, 4, 8, 4, 4, 5, 4, 6, 5, 4, 6, 3, 4, 3, 4, 6, 6, 4, 6, 6, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 6, 8, 6, 5, 4, 5, 2, 2, 5, 4, 4, 6, 3, 7, 4, 2, 4, 6, 5, 3, 3, 4, 4, 5, 3, 7, 4, 4, 3, 2, 3, 6, 7, 5, 3, 4, 4, 6, 5, 3, 5, 5, 2, 5, 4, 4, 4, 5, 3, 6, 6, 5, 6, 5, 4, 4, 6, 1, 4, 2, 0, 7, 5, 5, 5, 4, 5, 6, 5, 2, 3, 3, 4, 4, 6, 5, 6, 4, 5, 6, 6, 7, 7, 5, 4, 3, 6, 5, 4, 4, 4, 3, 2, 6, 4, 4, 4, 4, 5, 4, 6, 5, 3, 1, 4, 4, 4, 6, 6, 6, 6, 3, 4, 4, 5, 4, 2, 3, 2, 4, 3, 7, 3, 5, 6, 6, 6, 2, 3, 3, 4, 5, 4, 4, 9, 4, 4, 4, 0, 7, 3, 5, 3, 5, 4, 3, 7, 5, 5, 3, 3, 6, 5, 6, 5, 3, 5, 8, 5, 4, 6, 2, 3, 6, 4, 4, 5, 3, 5, 4, 2, 4, 4, 4, 4, 2, 6, 4, 2, 5, 4, 5, 5, 3, 6, 4, 4, 3, 4, 5, 5, 6, 5, 8, 3, 4, 5, 5, 4, 5, 5, 6, 2, 2, 9, 3, 3, 5, 6, 5, 6, 4, 6, 4, 6, 2, 2, 5, 4, 4, 4, 3, 3, 7, 4, 4, 2, 5, 3, 4, 5, 3, 6, 6, 2, 3, 2, 5, 5, 3, 5, 5, 4, 4, 8, 5, 3, 5, 4, 5, 4, -1 5, 6, 5, 5, 4, 6, 5, 4, 5, 6, 6, 3, 6, 6, 5, 5, 4, 6, 3, 2, 5, 5, 5, 3, 3, 5, 5, 7, 6, 4, 6, 2, 3, 5, 6, 3, 4, 5, 4, 3, 5, 2, 3, 3, 5, 6, 5, 5, 6, 5, 4, 5, 4, 4, 2, 6, 6, 3, 4, 2, 5, 3, 3, 2, 6, 6, 5, 5, 7, 4, 6, 5, 6, 4, 4, 5, 3, 2, 6, 3, 3, 6, 4, 5, 3, 5, 4, 5, 4, 3, 2, 4, 6, 3, 2, 4, 6, 2, 6, 5, 5, 6, 6, 4, 5, 5, 4, 2, 5, 4, 3, 5, 7, 4, 5, 4, 6, 4, 3, 4, 2, 7, 6, 6, 3, 3, 5, 7, 5, 4, 3, 4, 5, 7, 6, 5, 4, 4, 6, 4, 3, 2, 1, 4, 5, 2, 3, 5, 4, 4, 5, 4, 4, 7, 5, 3, 6, 4, 5, 4, 5, 5, 4, 5, 3, 4, 8, 2, 6, 2, 3, 2, 6, 6, 6, 4, 5, 5, 6, 5, 6, 2, 4, 3, 4, 6, 7, 3, 5, 5, 5, 4, 5, 6, 5, 4, 2, 6, 5, 5, 3, 4, 0, 6, 4, 3, 4, 5, 5, 3, 2, 1, 5, 7, 6, 4, 3, 4, 5, 4, 6, 5, 4, 5, 5, 4, 6, 3, 4, 5, 6, 5, 3, 4, 4, 7, 4, 5, 5, 2, 3, 4, 4, 6, 5, 2, 2, 6, 5, 2, 5, 5, 3, 4, 3, 5, 6, 4, 3, 5, 3, 5, 6, 4, 4, 6, 7, 4, 5, 5, 7, 4, 4, 3, 0, 5, 7, 4, 7, 5, 4, 7, 3, 6, 4, 3, 4, 4, 3, 4, 7, 4, 5, 4, 4, 3, 4, 2, 4, 3, 3, 4, 3, 5, 2, 6, 1, 2, 4, 3, 4, 5, 5, 4, 5, 6, 7, 6, 6, 5, 6, 6, 5, 5, 8, 6, 6, 1, 5, 3, 5, 3, 1, 0, 4, 5, 6, 5, 3, 3, 4, 5, 6, 4, 4, 7, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 2, 3, 4, 9, 4, 5, 7, 2, 6, 4, 1, 6, 8, 4, 6, 7, 7, 7, 2, 5, 5, 3, 6, 3, 2, 4, 5, 6, 6, 4, 7, 3, 4, 6, 7, 6, 7, 5, 5, 4, 5, 5, 5, 5, 8, 5, 7, 5, 3, 6, 6, 6, 5, 3, 4, 3, 4, 2, 2, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 6, 3, 4, 3, 6, 5, 5, 7, 5, 2, 4, 4, 3, 4, 4, 4, 3, 5, 3, 6, 5, 3, 3, 5, 4, 5, 6, 6, 5, 6, 5, 6, 3, 6, 5, 7, 5, 2, 3, 3, 5, 3, 4, 4, 2, 4, 3, 6, 5, 4, 5, 2, 5, 3, 5, 6, 4, 6, 5, 3, 4, 4, 3, 5, 6, 3, 4, 5, 7, 5, 2, 4, 4, 4, -1 4, 6, 6, 6, 6, 4, 5, 3, 5, 3, 6, 4, 6, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 6, 6, 6, 1, 5, 7, 5, 5, 2, 4, 5, 5, 3, 3, 6, 7, 6, 6, 5, 6, 4, 3, 4, 4, 6, 4, 4, 4, 4, 3, 3, 3, 6, 6, 4, 7, 3, 4, 4, 3, 5, 8, 1, 5, 4, 6, 5, 5, 4, 5, 4, 3, 5, 4, 3, 4, 2, 7, 4, 6, 4, 6, 4, 6, 5, 6, 3, 7, 6, 6, 5, 5, 3, 6, 5, 5, 3, 3, 4, 5, 4, 6, 3, 5, 5, 3, 4, 4, 6, 8, 3, 3, 3, 5, 1, 6, 4, 3, 4, 7, 5, 5, 7, 4, 6, 3, 4, 5, 3, 5, 3, 7, 5, 2, 1, 4, 5, 4, 2, 5, 6, 4, 7, 3, 4, 6, 6, 6, 2, 2, 5, 5, 4, 6, 5, 6, 3, 7, 5, 5, 5, 6, 5, 5, 5, 4, 5, 4, 5, 6, 3, 7, 5, 3, 5, 5, 5, 2, 6, 5, 5, 4, 5, 5, 6, 7, 5, 6, 3, 7, 5, 3, 2, 4, 4, 5, 3, 5, 4, 2, 6, 3, 3, 6, 4, 7, 4, 4, 5, 4, 3, 5, 5, 1, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 5, 6, 5, 4, 3, 5, 6, 2, 3, 5, 2, 7, 4, 5, 2, 5, 6, 4, 4, 4, 6, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 6, 4, 6, 3, 5, 2, 8, 4, 2, 4, 4, 5, 7, 4, 1, 2, 4, 5, 8, 3, 4, 5, 6, 4, 5, 3, 4, 6, 7, 3, 4, 4, 7, 5, 4, 6, 6, 4, 3, 5, 5, 6, 5, 4, 5, 3, 4, 3, 4, 4, 6, 7, 4, 1, 5, 3, 8, 4, 8, 3, 4, 3, 6, 3, 7, 3, 3, 2, 6, 5, 5, 4, 4, 2, 3, 4, 8, 5, 6, 5, 2, 6, 7, 2, 4, 6, 5, 4, 4, 6, 7, 2, 5, 6, 1, 4, 7, 4, 5, 4, 5, 2, 5, 4, 6, 3, 2, 6, 4, 5, 4, 5, 3, 5, 5, 4, 5, 3, 3, 7, 4, 3, 5, 6, 6, 6, 3, 3, 7, 5, 2, 5, 5, 6, 3, 8, 5, 3, 6, 5, 5, 3, 5, 4, 5, 5, 7, 5, 3, 5, 4, 1, 4, 3, 2, 4, 3, 4, 6, 4, 3, 4, 4, 4, 3, 5, 3, 3, 1, 4, 6, 6, 6, 5, 4, 5, 4, 3, 4, 6, 5, 4, 3, 4, 4, 6, 5, 3, 5, 4, 5, 7, 4, 4, 7, 7, 3, 4, 7, 6, 5, 6, 2, 5, 5, 3, 3, 3, 5, 7, 2, 5, 3, 4, 5, 2, 5, 5, 5, 7, 6, 1, 3, 5, 7, 1, 2, 5, 5, 6, 4, 5, 6, 4, 4, 3, 2, 4, 5, 6, -1 8, 4, 4, 3, 9, 4, 5, 4, 3, 7, 5, 4, 4, 4, 6, 5, 7, 6, 5, 2, 6, 8, 2, 5, 4, 2, 2, 4, 1, 4, 9, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 7, 6, 7, 4, 1, 6, 5, 3, 3, 6, 9, 8, 7, 5, 5, 4, 3, 4, 7, 1, 8, 5, 5, 5, 3, 5, 3, 5, 4, 6, 6, 5, 6, 3, 3, 5, 6, 4, 4, 6, 0, 2, 4, 3, 4, 4, 6, 5, 7, 5, 4, 4, 9, 4, 5, 4, 3, 5, 5, 4, 4, 4, 3, 5, 6, 5, 5, 3, 1, 5, 6, 5, 5, 8, 4, 4, 4, 3, 4, 5, 4, 5, 4, 6, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 3, 3, 5, 4, 4, 6, 4, 3, 3, 2, 3, 6, 4, 6, 2, 3, 4, 6, 5, 5, 5, 4, 4, 5, 4, 4, 6, 2, 7, 3, 5, 2, 6, 5, 5, 7, 7, 7, 5, 6, 3, 5, 5, 4, 3, 4, 5, 4, 1, 5, 4, 5, 6, 5, 5, 3, 4, 4, 4, 3, 5, 6, 4, 5, 6, 4, 4, 6, 5, 3, 5, 4, 5, 5, 3, 4, 7, 5, 4, 2, 6, 3, 4, 5, 4, 5, 4, 5, 4, 6, 5, 5, 4, 6, 3, 3, 6, 6, 3, 4, 5, 2, 4, 3, 3, 4, 3, 5, 5, 4, 7, 4, 3, 5, 3, 0, 5, 4, 5, 4, 5, 5, 5, 5, 9, 2, 3, 6, 5, 5, 8, 6, 2, 5, 5, 0, 4, 5, 4, 4, 4, 5, 7, 6, 3, 6, 4, 2, 5, 4, 6, 3, 1, 5, 6, 5, 5, 4, 4, 4, 4, 3, 7, 5, 6, 6, 4, 5, 5, 6, 4, 3, 3, 6, 5, 2, 2, 3, 7, 5, 6, 0, 2, 5, 2, 4, 5, 4, 6, 3, 3, 5, 6, 2, 4, 3, 4, 5, 6, 6, 4, 7, 5, 5, 5, 5, 4, 3, 6, 4, 3, 6, 6, 4, 6, 4, 2, 3, 3, 4, 3, 2, 7, 4, 3, 8, 9, 3, 5, 7, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 7, 3, 3, 3, 3, 5, 2, 5, 4, 4, 3, 5, 5, 0, 4, 5, 4, 4, 7, 6, 5, 6, 4, 5, 3, 6, 6, 5, 8, 5, 5, 5, 3, 4, 3, 4, 6, 4, 6, 6, 5, 5, 2, 1, 6, 6, 3, 6, 4, 5, 8, 1, 5, 5, 6, 5, 4, 4, 7, 3, 3, 7, 4, 3, 4, 4, 3, 5, 5, 5, 1, 4, 8, 4, 2, 1, 1, 5, 4, 6, 6, 4, 4, 5, 4, 3, 4, 3, 4, 4, 5, 7, 4, 4, 3, 5, 4, 6, 7, 6, 4, 5, 2, 3, 2, 6, 5, 3, 6, 2, 6, 3, 7, 5, 5, 3, 4, 3, 5, 1 6, 4, 4, 6, 3, 6, 5, 5, 5, 5, 5, 4, 3, 6, 3, 7, 4, 4, 3, 4, 5, 6, 4, 5, 5, 5, 5, 4, 3, 4, 4, 7, 3, 3, 6, 4, 4, 4, 7, 2, 4, 1, 2, 3, 4, 2, 3, 4, 2, 6, 3, 7, 5, 4, 3, 5, 6, 6, 4, 3, 5, 3, 3, 4, 2, 3, 6, 6, 6, 5, 4, 3, 4, 6, 3, 4, 4, 6, 5, 5, 6, 5, 6, 6, 4, 7, 4, 3, 4, 5, 4, 1, 7, 3, 5, 4, 6, 6, 3, 7, 6, 3, 2, 4, 4, 3, 5, 4, 2, 5, 3, 5, 7, 5, 4, 4, 4, 5, 8, 6, 4, 3, 4, 4, 4, 8, 6, 6, 4, 5, 7, 3, 7, 3, 6, 4, 4, 5, 1, 4, 5, 6, 4, 3, 2, 4, 4, 6, 4, 7, 3, 6, 4, 4, 5, 4, 3, 3, 4, 4, 8, 4, 4, 6, 2, 5, 3, 5, 4, 4, 6, 5, 5, 9, 3, 3, 5, 4, 4, 5, 6, 2, 3, 4, 4, 6, 6, 4, 5, 5, 5, 3, 5, 4, 6, 3, 2, 5, 6, 1, 3, 5, 6, 3, 3, 5, 5, 3, 2, 4, 2, 7, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 8, 1, 3, 3, 5, 2, 1, 5, 6, 6, 3, 4, 7, 8, 4, 4, 3, 6, 6, 4, 4, 4, 1, 3, 4, 3, 3, 4, 5, 5, 5, 5, 3, 2, 4, 5, 2, 5, 6, 3, 4, 4, 1, 6, 2, 5, 4, 4, 9, 7, 7, 2, 4, 6, 3, 6, 3, 8, 4, 3, 5, 8, 6, 5, 5, 2, 6, 1, 4, 4, 7, 7, 5, 4, 5, 5, 2, 4, 4, 4, 5, 4, 3, 5, 5, 7, 5, 5, 3, 3, 6, 4, 5, 5, 4, 4, 4, 6, 4, 5, 2, 4, 8, 5, 5, 4, 6, 2, 4, 4, 5, 4, 5, 5, 6, 4, 3, 4, 5, 2, 6, 4, 3, 4, 7, 4, 4, 4, 3, 4, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 6, 3, 3, 6, 6, 7, 3, 3, 5, 2, 3, 5, 5, 6, 6, 5, 7, 4, 2, 4, 4, 3, 7, 5, 4, 3, 6, 4, 6, 5, 3, 4, 4, 3, 4, 7, 4, 5, 2, 3, 6, 3, 5, 5, 5, 5, 4, 2, 7, 6, 6, 3, 2, 6, 4, 4, 4, 4, 4, 6, 3, 3, 4, 3, 4, 6, 4, 4, 2, 6, 8, 4, 6, 5, 4, 1, 8, 4, 4, 6, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 2, 4, 4, 4, 5, 3, 3, 4, 5, 3, 5, 6, 3, 5, 3, 4, 7, 5, 4, 5, 6, 4, 3, 5, 5, 4, 7, 3, 6, 4, 4, 4, 4, 4, 3, 5, 4, 8, 4, 3, 4, 1 4, 3, 4, 2, 5, 4, 6, 5, 5, 2, 3, 2, 4, 5, 2, 4, 3, 4, 3, 5, 4, 4, 7, 2, 5, 6, 4, 4, 5, 4, 3, 4, 3, 4, 7, 3, 5, 5, 7, 4, 4, 4, 6, 3, 3, 4, 7, 7, 1, 6, 3, 8, 4, 4, 5, 7, 5, 4, 6, 6, 5, 4, 5, 4, 3, 4, 6, 6, 5, 3, 2, 7, 4, 4, 3, 6, 5, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 5, 4, 2, 4, 1, 6, 3, 3, 5, 3, 4, 4, 3, 7, 3, 4, 3, 5, 4, 6, 2, 6, 5, 1, 3, 5, 7, 7, 5, 4, 2, 4, 2, 4, 5, 5, 5, 3, 2, 3, 4, 5, 5, 4, 3, 2, 5, 5, 3, 7, 3, 5, 6, 2, 4, 4, 5, 4, 5, 2, 5, 5, 5, 5, 2, 4, 4, 6, 4, 5, 5, 6, 4, 3, 4, 6, 4, 8, 6, 5, 3, 3, 5, 3, 4, 4, 7, 4, 5, 4, 2, 2, 4, 5, 3, 3, 5, 7, 4, 5, 4, 5, 4, 6, 5, 6, 4, 5, 5, 4, 4, 7, 2, 7, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 5, 5, 6, 4, 4, 2, 3, 5, 4, 6, 4, 1, 2, 5, 7, 3, 3, 4, 6, 2, 3, 4, 3, 7, 4, 7, 5, 5, 5, 4, 3, 4, 3, 4, 7, 6, 7, 5, 3, 6, 4, 4, 1, 4, 3, 3, 7, 2, 4, 5, 4, 7, 3, 2, 2, 5, 4, 2, 3, 3, 4, 7, 6, 4, 5, 7, 7, 4, 5, 6, 4, 5, 5, 4, 4, 6, 4, 3, 5, 3, 6, 5, 3, 3, 3, 6, 2, 4, 3, 3, 5, 3, 4, 3, 5, 2, 2, 3, 6, 6, 3, 2, 4, 3, 5, 2, 4, 5, 3, 2, 4, 3, 3, 5, 3, 6, 3, 9, 4, 5, 2, 7, 5, 4, 6, 3, 4, 5, 5, 2, 6, 5, 2, 6, 7, 5, 6, 6, 4, 5, 4, 6, 4, 4, 3, 3, 6, 6, 4, 5, 6, 6, 4, 7, 3, 8, 6, 2, 4, 3, 4, 5, 4, 5, 5, 5, 3, 0, 5, 3, 5, 3, 5, 5, 6, 4, 5, 6, 5, 4, 4, 3, 4, 6, 6, 4, 6, 4, 3, 3, 3, 7, 3, 3, 4, 4, 6, 7, 5, 6, 4, 6, 3, 5, 5, 5, 6, 6, 3, 5, 6, 4, 2, 3, 6, 4, 3, 4, 5, 4, 3, 5, 4, 3, 6, 5, 5, 3, 6, 4, 5, 6, 6, 3, 4, 5, 3, 6, 7, 6, 5, 6, 6, 5, 2, 4, 2, 6, 5, 4, 5, 4, 4, 6, 3, 4, 7, 2, 2, 3, 4, 6, 5, 3, 3, 5, 5, 3, 4, 4, 5, 6, 4, 4, 4, 6, 6, 3, 6, 8, 6, 4, 5, 6, 5, 7, 3, 3, 2, 1 3, 3, 5, 4, 3, 4, 5, 3, 5, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 8, 3, 5, 5, 4, 6, 3, 5, 5, 6, 5, 3, 4, 6, 6, 3, 4, 7, 8, 7, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 6, 4, 3, 4, 4, 7, 6, 2, 7, 6, 3, 3, 4, 2, 6, 5, 3, 3, 5, 3, 7, 4, 5, 3, 5, 3, 3, 3, 2, 4, 2, 2, 4, 5, 5, 6, 6, 4, 2, 4, 8, 6, 4, 7, 3, 3, 2, 4, 5, 7, 7, 6, 4, 7, 6, 6, 7, 3, 2, 5, 4, 5, 7, 2, 3, 5, 1, 3, 7, 4, 5, 4, 7, 6, 5, 6, 6, 7, 6, 3, 4, 6, 4, 4, 9, 4, 5, 3, 5, 3, 3, 6, 4, 4, 6, 2, 3, 5, 4, 7, 4, 6, 5, 5, 5, 7, 5, 2, 5, 7, 6, 3, 5, 3, 6, 6, 5, 3, 6, 5, 4, 5, 4, 3, 6, 5, 2, 2, 3, 3, 2, 6, 5, 6, 5, 3, 4, 6, 6, 7, 2, 6, 5, 4, 4, 3, 3, 6, 4, 4, 6, 5, 4, 6, 6, 4, 6, 3, 5, 5, 5, 5, 5, 5, 8, 3, 4, 5, 6, 4, 6, 6, 3, 3, 3, 7, 4, 4, 5, 4, 2, 4, 5, 7, 4, 6, 5, 6, 4, 7, 7, 3, 0, 4, 1, 5, 4, 4, 2, 6, 7, 3, 6, 3, 2, 2, 3, 6, 6, 4, 3, 5, 5, 5, 5, 7, 4, 2, 5, 5, 3, 6, 4, 5, 5, 4, 3, 7, 6, 4, 5, 6, 5, 5, 5, 5, 6, 5, 4, 9, 4, 5, 4, 3, 7, 6, 4, 6, 7, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 3, 6, 5, 4, 6, 2, 6, 4, 5, 4, 4, 3, 5, 6, 2, 7, 6, 4, 5, 3, 3, 4, 4, 5, 4, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 5, 4, 6, 3, 7, 5, 1, 5, 5, 3, 6, 4, 6, 6, 6, 6, 5, 5, 6, 5, 2, 6, 2, 7, 6, 3, 6, 4, 4, 4, 7, 3, 4, 5, 3, 5, 4, 2, 4, 4, 4, 4, 4, 5, 5, 3, 5, 1, 7, 3, 7, 5, 5, 5, 5, 4, 3, 5, 3, 5, 3, 6, 6, 4, 3, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 6, 5, 6, 4, 4, 5, 3, 4, 6, 3, 4, 5, 3, 4, 4, 5, 2, 3, 3, 5, 6, 3, 4, 5, 5, 6, 4, 2, 4, 7, 4, 8, 4, 5, 3, 6, 3, 5, 6, 5, 4, 6, 7, 5, 4, 4, 7, 6, 4, 4, 5, 4, 6, 6, 5, 3, 4, 4, 6, 2, 4, 5, 5, 5, 5, 5, 4, 4, 5, 1, 3, 4, 1 4, 6, 5, 5, 3, 1, 5, 3, 5, 4, 6, 6, 4, 2, 6, 5, 7, 4, 4, 4, 5, 5, 3, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 3, 3, 2, 2, 2, 4, 1, 2, 4, 4, 6, 3, 5, 2, 7, 2, 3, 6, 3, 4, 5, 3, 5, 5, 3, 2, 5, 5, 6, 3, 4, 5, 5, 2, 6, 6, 5, 5, 4, 4, 2, 4, 4, 6, 3, 5, 5, 1, 5, 5, 5, 6, 6, 7, 2, 5, 5, 4, 7, 4, 3, 5, 5, 6, 3, 6, 7, 4, 5, 7, 0, 3, 4, 6, 4, 3, 5, 2, 1, 5, 4, 4, 4, 4, 5, 6, 6, 3, 3, 6, 4, 6, 2, 6, 6, 4, 5, 5, 1, 7, 4, 4, 6, 2, 3, 4, 5, 2, 3, 2, 6, 7, 5, 3, 4, 6, 5, 4, 4, 4, 6, 2, 4, 5, 5, 5, 3, 4, 6, 5, 3, 4, 3, 8, 6, 4, 3, 3, 2, 5, 3, 4, 6, 7, 0, 4, 4, 5, 5, 4, 3, 3, 4, 8, 7, 6, 4, 3, 3, 3, 7, 5, 3, 2, 6, 6, 2, 5, 7, 4, 5, 8, 4, 3, 4, 4, 4, 1, 4, 8, 6, 4, 5, 3, 1, 5, 3, 3, 5, 1, 4, 3, 6, 6, 3, 4, 6, 4, 3, 4, 3, 7, 4, 6, 3, 6, 5, 6, 3, 4, 5, 3, 3, 4, 4, 5, 6, 7, 5, 4, 5, 3, 4, 4, 6, 5, 4, 5, 5, 5, 6, 2, 3, 7, 4, 3, 3, 5, 3, 6, 4, 6, 5, 4, 5, 5, 5, 3, 6, 6, 4, 5, 3, 5, 2, 7, 6, 7, 6, 3, 2, 4, 3, 5, 4, 5, 4, 5, 7, 3, 3, 6, 6, 2, 6, 3, 4, 2, 3, 3, 5, 7, 5, 5, 1, 3, 7, 7, 5, 5, 4, 4, 4, 3, 8, 6, 3, 6, 5, 2, 4, 7, 5, 5, 6, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 1, 6, 5, 6, 3, 1, 6, 4, 4, 3, 5, 3, 5, 3, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 6, 2, 5, 6, 6, 3, 6, 3, 3, 4, 5, 3, 7, 5, 4, 3, 3, 2, 6, 3, 5, 5, 5, 4, 5, 3, 4, 3, 5, 4, 8, 3, 3, 5, 2, 6, 6, 4, 0, 4, 5, 4, 1, 6, 5, 4, 4, 5, 5, 4, 2, 4, 2, 4, 6, 3, 6, 5, 2, 5, 3, 5, 4, 5, 4, 6, 4, 5, 3, 4, 2, 6, 5, 5, 3, 4, 7, 3, 3, 1, 8, 5, 2, 3, 2, 4, 7, 5, 6, 3, 3, 4, 3, 6, 6, 7, 4, 4, 3, 6, 4, 3, 5, 4, 4, 4, 3, 3, 3, 8, 7, 2, 4, 4, 4, 5, 7, 5, 5, 6, 5, 6, 4, -1 0, 1, 3, 5, 4, 5, 4, 1, 5, 2, 3, 5, 5, 3, 5, 2, 6, 3, 4, 7, 5, 2, 6, 4, 5, 4, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 1, 5, 4, 4, 6, 5, 2, 3, 4, 3, 3, 2, 5, 5, 5, 5, 4, 5, 8, 6, 3, 4, 5, 5, 6, 4, 4, 5, 5, 4, 3, 4, 1, 1, 2, 5, 5, 9, 3, 5, 3, 7, 6, 4, 2, 1, 4, 3, 2, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 6, 3, 2, 4, 5, 6, 4, 4, 3, 5, 5, 4, 7, 5, 5, 3, 4, 3, 6, 4, 6, 0, 3, 5, 9, 5, 4, 2, 4, 2, 4, 5, 4, 4, 6, 5, 3, 3, 5, 4, 7, 6, 2, 5, 6, 5, 5, 5, 6, 6, 4, 7, 5, 2, 5, 5, 6, 6, 2, 4, 6, 4, 8, 7, 4, 4, 5, 3, 5, 4, 8, 3, 3, 7, 8, 3, 5, 5, 3, 4, 5, 3, 8, 2, 1, 3, 5, 4, 5, 4, 4, 6, 6, 5, 3, 3, 4, 5, 5, 5, 4, 4, 3, 6, 3, 5, 4, 3, 4, 6, 5, 4, 3, 3, 2, 5, 5, 6, 4, 4, 3, 5, 6, 4, 3, 2, 3, 4, 6, 6, 6, 4, 3, 2, 7, 6, 4, 5, 5, 3, 6, 4, 5, 4, 2, 4, 3, 5, 4, 6, 5, 1, 5, 5, 5, 5, 3, 6, 3, 5, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 4, 1, 4, 6, 3, 5, 3, 5, 8, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 6, 5, 4, 3, 6, 4, 6, 5, 3, 5, 7, 5, 4, 5, 6, 4, 4, 5, 4, 3, 4, 5, 5, 3, 7, 4, 4, 4, 4, 2, 4, 5, 6, 6, 7, 3, 6, 4, 3, 6, 5, 5, 8, 5, 6, 6, 6, 2, 4, 3, 5, 4, 6, 4, 4, 5, 4, 4, 4, 2, 6, 3, 5, 5, 4, 3, 7, 5, 5, 7, 4, 5, 4, 5, 5, 4, 5, 2, 5, 5, 6, 3, 6, 5, 2, 6, 5, 7, 6, 4, 2, 3, 4, 3, 6, 3, 3, 5, 5, 4, 4, 6, 3, 4, 3, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 6, 5, 2, 5, 5, 3, 5, 3, 5, 6, 3, 7, 7, 3, 2, 3, 5, 4, 4, 4, 4, 5, 4, 3, 6, 5, 3, 5, 6, 3, 5, 5, 4, 6, 3, 6, 7, 6, 6, 3, 3, 5, 4, 5, 3, 7, 4, 3, 5, 4, 6, 4, 2, 4, 3, 4, 5, 4, 4, 2, 5, 4, 2, 4, 7, 4, 6, 0, 6, 5, 6, 2, 2, 6, 3, 3, 3, 3, 4, 1, 6, 5, 4, 4, 3, 6, 5, 6, 1 3, 3, 5, 4, 5, 4, 4, 4, 3, 6, 6, 4, 4, 7, 5, 5, 3, 8, 7, 4, 6, 5, 3, 4, 5, 4, 4, 5, 7, 4, 6, 3, 3, 4, 5, 4, 4, 3, 5, 6, 5, 8, 1, 5, 1, 5, 1, 4, 6, 4, 7, 4, 3, 4, 4, 6, 6, 5, 5, 6, 5, 4, 3, 5, 4, 6, 7, 5, 5, 6, 2, 5, 4, 4, 6, 7, 4, 8, 3, 6, 5, 3, 2, 3, 4, 5, 4, 5, 6, 7, 7, 4, 5, 4, 4, 3, 2, 3, 4, 6, 5, 6, 3, 5, 4, 5, 7, 6, 6, 3, 3, 2, 3, 2, 7, 6, 5, 5, 5, 3, 3, 4, 5, 6, 4, 4, 5, 4, 5, 6, 6, 3, 7, 3, 7, 5, 5, 5, 5, 7, 3, 4, 4, 6, 4, 6, 5, 7, 1, 7, 4, 3, 4, 3, 6, 6, 4, 4, 3, 6, 5, 6, 6, 3, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 3, 8, 0, 3, 6, 4, 5, 4, 4, 2, 5, 5, 4, 4, 6, 3, 5, 4, 4, 3, 3, 4, 4, 4, 1, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 3, 2, 5, 5, 3, 4, 5, 5, 5, 4, 2, 2, 4, 5, 4, 7, 5, 4, 6, 5, 6, 5, 5, 4, 5, 4, 3, 2, 4, 4, 4, 7, 1, 6, 5, 3, 8, 2, 4, 5, 5, 5, 3, 3, 7, 4, 4, 4, 6, 4, 4, 5, 3, 6, 2, 4, 4, 3, 4, 5, 6, 4, 4, 2, 6, 5, 9, 1, 9, 4, 4, 3, 8, 3, 6, 3, 6, 1, 5, 5, 4, 4, 7, 5, 5, 5, 3, 3, 6, 6, 7, 5, 1, 4, 5, 6, 6, 3, 4, 6, 6, 5, 4, 4, 5, 4, 6, 7, 7, 6, 5, 7, 4, 3, 4, 8, 5, 5, 4, 4, 3, 4, 4, 3, 5, 6, 4, 2, 4, 2, 4, 4, 3, 5, 4, 2, 5, 5, 3, 5, 7, 4, 6, 4, 5, 3, 4, 5, 4, 5, 5, 5, 6, 3, 7, 3, 6, 4, 4, 5, 4, 3, 4, 6, 3, 4, 4, 6, 5, 3, 4, 4, 3, 5, 2, 7, 5, 7, 6, 4, 4, 5, 6, 3, 3, 4, 4, 6, 7, 3, 3, 7, 5, 4, 3, 5, 6, 6, 5, 4, 2, 3, 5, 3, 2, 3, 6, 2, 2, 5, 4, 3, 3, 4, 4, 2, 6, 5, 4, 3, 6, 3, 4, 3, 6, 5, 3, 5, 5, 4, 5, 4, 1, 5, 1, 6, 3, 3, 4, 6, 5, 7, 4, 1, 4, 7, 5, 4, 2, 6, 6, 2, 5, 6, 5, 4, 4, 6, 4, 5, 2, 5, 1, 4, 6, 7, 4, 4, 3, 5, 2, 3, 6, 5, 6, 3, 4, 5, 5, 3, 6, 4, 3, 1, 4, 3, 5, 3, 7, 2, 1 4, 4, 5, 7, 5, 3, 4, 2, 5, 6, 5, 4, 5, 3, 6, 5, 6, 6, 6, 2, 7, 4, 6, 2, 3, 2, 3, 2, 5, 4, 6, 4, 4, 3, 7, 5, 3, 2, 3, 5, 6, 5, 6, 8, 3, 8, 5, 7, 5, 4, 4, 3, 4, 5, 6, 4, 5, 1, 7, 8, 5, 3, 6, 5, 5, 5, 7, 7, 4, 2, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 1, 5, 3, 5, 6, 0, 2, 4, 5, 5, 4, 7, 4, 3, 8, 6, 3, 4, 3, 4, 4, 5, 3, 3, 3, 5, 5, 3, 4, 5, 4, 2, 5, 6, 2, 4, 3, 3, 4, 2, 1, 3, 3, 3, 4, 5, 5, 4, 5, 2, 4, 6, 6, 2, 5, 4, 5, 4, 5, 4, 5, 7, 5, 4, 2, 4, 2, 6, 5, 6, 5, 6, 5, 7, 3, 4, 4, 5, 5, 3, 5, 4, 6, 4, 3, 3, 7, 3, 4, 2, 4, 3, 4, 4, 5, 2, 5, 1, 3, 5, 5, 4, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 3, 5, 4, 4, 3, 5, 4, 2, 5, 7, 5, 4, 5, 3, 5, 2, 3, 4, 5, 6, 5, 6, 4, 7, 4, 8, 4, 4, 4, 6, 6, 6, 3, 5, 6, 5, 3, 4, 6, 4, 4, 5, 6, 2, 9, 5, 6, 6, 1, 3, 3, 5, 3, 3, 4, 6, 1, 3, 4, 4, 8, 3, 4, 5, 2, 4, 5, 4, 6, 4, 4, 3, 3, 4, 3, 5, 5, 3, 5, 5, 4, 7, 4, 4, 5, 5, 5, 7, 3, 5, 5, 4, 5, 3, 3, 3, 3, 3, 3, 5, 4, 5, 3, 3, 6, 7, 2, 6, 4, 5, 7, 5, 3, 4, 6, 6, 8, 2, 5, 5, 5, 3, 6, 5, 5, 5, 6, 7, 4, 5, 5, 6, 6, 2, 4, 3, 6, 8, 4, 2, 5, 4, 5, 5, 2, 6, 6, 6, 3, 3, 6, 1, 6, 8, 6, 3, 4, 4, 5, 5, 6, 3, 7, 7, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 7, 4, 4, 4, 7, 5, 4, 2, 9, 5, 7, 6, 6, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 7, 5, 3, 4, 4, 1, 7, 5, 3, 7, 6, 6, 5, 5, 3, 2, 3, 5, 3, 5, 5, 4, 3, 2, 5, 5, 7, 6, 4, 7, 5, 5, 4, 6, 1, 4, 6, 6, 3, 6, 7, 4, 7, 5, 7, 2, 4, 2, 6, 3, 4, 5, 2, 2, 5, 3, 5, 6, 6, 3, 2, 5, 2, 5, 8, 6, 6, 3, 6, 4, 4, 2, 2, 1, 2, 2, 4, 6, 6, 5, 4, 3, 4, 5, 3, 5, 5, 4, 3, 7, 4, 3, 7, 3, 4, 5, 4, 6, 4, 5, 5, 5, 6, 1 4, 4, 3, 3, 5, 4, 6, 2, 4, 3, 3, 3, 6, 2, 5, 6, 3, 5, 4, 3, 5, 3, 4, 3, 5, 1, 5, 3, 4, 6, 3, 7, 3, 2, 6, 6, 6, 6, 2, 4, 5, 4, 2, 5, 6, 4, 3, 4, 6, 5, 2, 6, 5, 4, 5, 9, 5, 3, 1, 4, 4, 8, 3, 3, 4, 4, 4, 4, 4, 8, 1, 6, 6, 6, 4, 7, 4, 6, 5, 4, 4, 1, 6, 6, 6, 4, 4, 4, 6, 3, 4, 7, 5, 6, 5, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 6, 3, 6, 4, 5, 7, 7, 5, 5, 4, 2, 6, 3, 1, 4, 5, 3, 9, 2, 4, 5, 4, 5, 6, 5, 5, 3, 5, 3, 4, 5, 4, 3, 4, 5, 5, 5, 7, 3, 4, 2, 6, 7, 7, 6, 4, 6, 6, 3, 6, 3, 4, 6, 6, 4, 3, 6, 7, 8, 4, 1, 6, 4, 3, 4, 3, 6, 6, 7, 5, 3, 5, 1, 5, 2, 5, 5, 6, 7, 6, 5, 3, 4, 5, 4, 5, 5, 3, 5, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 4, 3, 5, 7, 4, 4, 4, 4, 4, 5, 5, 4, 2, 5, 5, 5, 3, 0, 4, 4, 7, 7, 3, 6, 5, 4, 2, 4, 6, 6, 4, 2, 4, 5, 5, 4, 3, 4, 6, 6, 3, 5, 4, 4, 5, 6, 4, 4, 2, 4, 4, 4, 5, 8, 7, 6, 6, 4, 5, 4, 3, 4, 3, 4, 4, 5, 5, 8, 4, 6, 5, 7, 6, 6, 3, 4, 3, 6, 2, 6, 5, 3, 3, 5, 4, 2, 2, 7, 5, 4, 5, 4, 3, 4, 6, 5, 6, 4, 5, 5, 6, 4, 4, 5, 6, 4, 6, 6, 1, 2, 6, 4, 5, 4, 6, 5, 4, 4, 6, 5, 8, 7, 5, 4, 5, 2, 6, 0, 6, 5, 5, 4, 4, 6, 3, 5, 4, 6, 5, 3, 4, 4, 6, 2, 5, 5, 5, 5, 6, 4, 4, 4, 5, 3, 4, 4, 6, 6, 4, 5, 6, 5, 4, 5, 4, 3, 6, 4, 5, 7, 4, 4, 3, 5, 5, 5, 3, 3, 4, 3, 4, 7, 4, 5, 7, 5, 4, 5, 5, 5, 6, 4, 3, 4, 4, 6, 4, 6, 2, 5, 5, 6, 5, 2, 6, 4, 4, 5, 7, 4, 7, 3, 6, 4, 3, 8, 3, 3, 4, 6, 2, 5, 4, 5, 5, 4, 4, 8, 3, 4, 3, 4, 5, 5, 6, 3, 6, 7, 6, 4, 3, 5, 3, 6, 8, 5, 4, 4, 6, 3, 2, 1, 4, 5, 4, 5, 6, 4, 7, 5, 5, 6, 3, 7, 2, 5, 8, 7, 5, 7, 3, 5, 5, 3, 2, 5, 2, 5, 4, 3, 5, 7, 4, 4, 6, 4, 5, 6, 6, 2, 5, 4, 5, 3, 6, -1 3, 5, 5, 1, 3, 5, 4, 3, 5, 4, 5, 4, 6, 2, 6, 8, 6, 4, 7, 5, 3, 5, 5, 6, 6, 5, 6, 6, 2, 5, 7, 3, 3, 0, 4, 3, 4, 2, 5, 5, 3, 7, 3, 6, 4, 4, 5, 4, 4, 5, 4, 4, 3, 1, 5, 4, 5, 5, 5, 6, 5, 3, 6, 4, 4, 3, 6, 6, 6, 4, 4, 7, 4, 3, 3, 5, 5, 4, 4, 6, 5, 6, 5, 5, 2, 4, 4, 5, 4, 3, 4, 5, 4, 6, 5, 5, 4, 5, 3, 3, 6, 4, 5, 4, 6, 3, 4, 4, 6, 4, 4, 3, 6, 3, 4, 9, 3, 4, 4, 3, 4, 7, 4, 4, 5, 5, 4, 6, 4, 6, 5, 5, 4, 7, 3, 4, 3, 3, 4, 5, 2, 2, 6, 5, 5, 5, 4, 5, 5, 5, 6, 3, 6, 3, 7, 3, 5, 4, 5, 6, 5, 4, 3, 4, 3, 6, 5, 4, 6, 3, 5, 4, 6, 4, 4, 6, 4, 4, 4, 7, 6, 4, 3, 5, 3, 6, 3, 4, 1, 5, 8, 5, 3, 5, 5, 3, 4, 2, 6, 4, 4, 4, 1, 4, 5, 4, 5, 5, 2, 5, 4, 4, 4, 5, 4, 6, 7, 3, 4, 8, 8, 4, 3, 3, 4, 3, 5, 5, 3, 7, 3, 3, 4, 4, 3, 6, 3, 2, 4, 3, 6, 5, 4, 6, 1, 4, 6, 5, 3, 4, 6, 7, 1, 3, 4, 3, 5, 3, 5, 5, 6, 5, 5, 5, 5, 3, 7, 5, 2, 4, 4, 7, 8, 4, 6, 5, 4, 2, 5, 4, 2, 2, 4, 3, 6, 4, 2, 4, 4, 4, 4, 2, 3, 1, 4, 6, 6, 3, 7, 6, 7, 6, 5, 4, 2, 6, 4, 5, 7, 6, 5, 3, 4, 4, 3, 1, 6, 5, 2, 4, 5, 5, 5, 4, 4, 6, 6, 3, 6, 6, 3, 3, 4, 3, 5, 5, 4, 5, 7, 5, 8, 5, 4, 6, 5, 5, 4, 8, 3, 4, 5, 5, 3, 7, 5, 4, 3, 1, 7, 3, 7, 3, 4, 6, 5, 4, 3, 6, 6, 5, 4, 2, 3, 5, 4, 4, 2, 4, 4, 4, 3, 1, 4, 2, 6, 5, 5, 4, 6, 4, 5, 5, 4, 2, 5, 5, 3, 4, 4, 6, 1, 5, 6, 3, 3, 6, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 6, 3, 3, 4, 6, 7, 5, 4, 4, 5, 4, 3, 2, 4, 4, 3, 5, 5, 5, 2, 4, 5, 6, 6, 7, 5, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 3, 5, 2, 6, 4, 7, 5, 7, 4, 5, 0, 4, 4, 4, 2, 1, 7, 3, 4, 4, 4, 4, 2, 2, 7, 4, 5, 7, 3, 5, 3, 3, 4, 1, 2, 6, 2, 3, 3, 6, 5, 4, 6, 3, 1 4, 5, 6, 3, 3, 4, 9, 4, 3, 4, 6, 2, 3, 3, 6, 5, 5, 3, 7, 6, 4, 6, 3, 4, 5, 5, 2, 4, 4, 4, 5, 5, 2, 4, 6, 4, 5, 8, 6, 6, 6, 4, 3, 5, 6, 3, 4, 4, 1, 5, 6, 3, 5, 6, 5, 5, 4, 3, 4, 3, 6, 6, 2, 4, 4, 5, 3, 5, 4, 6, 5, 5, 5, 2, 4, 5, 5, 3, 4, 4, 6, 5, 5, 6, 3, 5, 7, 4, 3, 4, 4, 4, 3, 2, 4, 5, 4, 4, 3, 6, 1, 5, 7, 7, 3, 2, 4, 6, 4, 2, 4, 7, 8, 6, 6, 4, 4, 5, 3, 6, 6, 4, 6, 5, 6, 7, 5, 6, 3, 4, 7, 2, 4, 6, 6, 6, 4, 4, 4, 6, 5, 6, 5, 3, 6, 5, 4, 6, 7, 5, 4, 7, 6, 4, 6, 4, 2, 5, 5, 6, 4, 1, 6, 5, 3, 2, 5, 6, 3, 3, 5, 4, 4, 7, 5, 4, 4, 5, 4, 5, 5, 7, 3, 5, 3, 5, 5, 6, 4, 4, 4, 3, 2, 2, 4, 3, 3, 4, 5, 2, 2, 6, 4, 6, 3, 2, 5, 6, 4, 2, 6, 6, 4, 5, 5, 6, 3, 4, 4, 5, 6, 4, 4, 3, 4, 5, 4, 4, 6, 6, 3, 4, 5, 4, 8, 3, 4, 6, 5, 5, 5, 6, 3, 5, 4, 5, 5, 4, 2, 3, 4, 6, 4, 1, 4, 4, 4, 3, 8, 3, 6, 4, 6, 4, 5, 6, 5, 4, 3, 5, 8, 4, 7, 6, 2, 4, 9, 2, 3, 5, 4, 3, 5, 5, 5, 5, 5, 2, 7, 7, 6, 5, 4, 7, 4, 4, 2, 2, 5, 5, 6, 4, 3, 5, 3, 4, 0, 4, 5, 3, 7, 4, 3, 4, 5, 6, 4, 8, 4, 3, 3, 7, 2, 4, 4, 3, 2, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 7, 5, 3, 5, 5, 3, 6, 3, 3, 4, 6, 2, 5, 2, 4, 5, 4, 6, 5, 7, 4, 7, 3, 6, 5, 6, 6, 4, 5, 4, 4, 3, 6, 3, 5, 4, 6, 4, 4, 3, 5, 1, 4, 3, 4, 3, 3, 3, 3, 3, 4, 6, 5, 3, 4, 3, 6, 3, 5, 4, 5, 5, 5, 5, 3, 8, 3, 3, 4, 4, 4, 3, 7, 4, 3, 5, 5, 5, 3, 3, 4, 6, 4, 5, 2, 3, 4, 6, 4, 4, 5, 4, 2, 5, 3, 6, 4, 1, 4, 5, 4, 5, 6, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 2, 4, 3, 3, 5, 6, 2, 6, 6, 3, 4, 4, 4, 5, 6, 4, 5, 6, 4, 7, 4, 6, 4, 1, 3, 5, 6, 6, 4, 3, 3, 3, 3, 2, 5, 6, 5, 7, 3, 4, 4, 6, 5, 2, 5, 7, 5, 4, 4, 1, 1 2, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 7, 2, 8, 4, 6, 4, 4, 5, 7, 5, 5, 3, 5, 7, 4, 2, 2, 7, 5, 4, 6, 2, 5, 6, 6, 4, 6, 7, 5, 4, 4, 3, 4, 2, 4, 5, 5, 4, 4, 5, 2, 6, 6, 7, 8, 3, 7, 4, 4, 4, 3, 3, 3, 7, 4, 4, 5, 2, 6, 1, 4, 3, 4, 4, 6, 2, 3, 5, 4, 4, 7, 5, 4, 3, 5, 4, 4, 5, 6, 7, 5, 5, 4, 3, 4, 2, 4, 6, 4, 6, 6, 3, 3, 4, 3, 5, 3, 5, 4, 7, 6, 5, 4, 6, 5, 4, 5, 6, 6, 3, 7, 2, 7, 5, 8, 3, 7, 4, 6, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 4, 2, 2, 6, 5, 7, 2, 5, 6, 2, 5, 3, 6, 4, 4, 7, 5, 6, 2, 5, 4, 2, 2, 5, 5, 3, 7, 5, 6, 3, 7, 5, 6, 6, 5, 5, 3, 4, 4, 5, 4, 5, 2, 3, 4, 3, 5, 4, 7, 4, 4, 2, 2, 3, 6, 3, 1, 4, 5, 5, 5, 7, 5, 6, 4, 5, 3, 3, 3, 3, 2, 4, 4, 6, 6, 6, 5, 5, 4, 3, 7, 4, 5, 2, 6, 4, 5, 5, 4, 6, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 6, 4, 4, 6, 5, 4, 3, 3, 4, 4, 4, 9, 4, 4, 4, 4, 4, 5, 6, 4, 3, 2, 5, 6, 5, 7, 4, 6, 4, 5, 5, 6, 4, 7, 5, 5, 8, 3, 4, 5, 6, 4, 2, 4, 3, 5, 8, 4, 3, 5, 5, 5, 5, 4, 4, 6, 4, 5, 1, 2, 5, 6, 8, 2, 5, 4, 6, 4, 4, 3, 5, 3, 5, 3, 3, 7, 6, 5, 5, 6, 6, 4, 4, 7, 3, 5, 2, 5, 6, 2, 3, 4, 4, 6, 5, 5, 1, 5, 5, 6, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 6, 3, 5, 5, 5, 5, 4, 4, 2, 5, 5, 6, 5, 3, 4, 6, 6, 3, 3, 5, 4, 6, 3, 2, 3, 2, 6, 7, 3, 6, 4, 3, 4, 1, 2, 6, 3, 6, 1, 3, 4, 4, 3, 4, 7, 5, 8, 6, 5, 3, 4, 7, 3, 7, 3, 4, 5, 5, 3, 3, 5, 4, 5, 7, 5, 5, 4, 2, 5, 4, 7, 4, 7, 7, 7, 4, 3, 4, 4, 5, 4, 6, 5, 5, 3, 5, 4, 5, 5, 3, 6, 4, 6, 6, 4, 6, 5, 4, 5, 7, 5, 7, 7, 6, 5, 3, 6, 4, 5, 6, 3, 5, 2, 3, 4, 3, 3, 4, 4, 3, 6, 7, 5, 4, 5, 4, 5, 4, 4, 5, 7, 6, 4, 4, 5, 4, 7, 3, 4, 3, 7, 5, 2, 3, -1 5, 5, 6, 4, 4, 4, 4, 5, 7, 6, 3, 5, 6, 3, 6, 3, 5, 7, 5, 5, 5, 7, 3, 6, 4, 5, 6, 4, 7, 4, 6, 4, 4, 6, 4, 6, 4, 5, 3, 5, 3, 2, 4, 5, 6, 2, 5, 4, 3, 6, 5, 4, 7, 4, 6, 6, 1, 4, 4, 5, 8, 4, 6, 5, 2, 5, 6, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 2, 5, 7, 6, 3, 3, 6, 4, 5, 5, 4, 1, 2, 7, 5, 6, 6, 2, 7, 3, 3, 4, 6, 5, 4, 4, 3, 3, 5, 6, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 4, 4, 4, 8, 4, 7, 8, 5, 5, 5, 4, 6, 6, 3, 1, 8, 7, 7, 6, 3, 5, 3, 5, 4, 4, 3, 4, 5, 4, 3, 3, 3, 5, 3, 2, 6, 2, 6, 5, 4, 6, 5, 5, 5, 6, 5, 6, 5, 5, 5, 6, 7, 5, 6, 5, 3, 3, 6, 3, 5, 5, 5, 4, 6, 3, 3, 5, 3, 3, 7, 4, 4, 4, 5, 5, 5, 5, 3, 2, 3, 5, 4, 3, 6, 6, 7, 8, 3, 3, 9, 6, 3, 4, 2, 7, 1, 3, 4, 5, 4, 3, 4, 6, 4, 3, 2, 6, 3, 6, 8, 3, 4, 5, 6, 3, 3, 5, 6, 4, 6, 6, 4, 5, 3, 6, 4, 4, 4, 2, 6, 4, 3, 0, 4, 7, 3, 7, 4, 3, 2, 6, 3, 4, 5, 4, 1, 5, 3, 4, 6, 4, 4, 3, 3, 3, 6, 6, 5, 5, 4, 2, 7, 5, 5, 3, 5, 5, 6, 4, 5, 5, 4, 4, 5, 4, 2, 5, 7, 4, 5, 2, 6, 5, 4, 7, 5, 4, 2, 6, 4, 7, 5, 4, 2, 5, 4, 4, 6, 4, 5, 4, 7, 5, 7, 3, 2, 6, 5, 3, 2, 5, 5, 5, 6, 4, 5, 3, 2, 6, 2, 5, 4, 5, 3, 5, 7, 5, 6, 5, 6, 4, 6, 5, 4, 4, 4, 6, 3, 6, 3, 4, 4, 5, 6, 4, 6, 3, 8, 3, 4, 2, 4, 6, 4, 8, 4, 5, 5, 4, 5, 2, 3, 5, 4, 3, 3, 1, 6, 4, 3, 4, 5, 5, 4, 5, 4, 5, 2, 5, 5, 3, 5, 4, 7, 3, 6, 5, 5, 5, 5, 5, 2, 5, 5, 3, 6, 3, 3, 6, 3, 8, 1, 4, 3, 2, 4, 4, 4, 6, 6, 5, 5, 2, 8, 3, 6, 2, 3, 5, 5, 3, 5, 5, 6, 6, 4, 6, 3, 4, 4, 2, 4, 3, 3, 6, 3, 3, 2, 3, 5, 2, 3, 2, 6, 6, 3, 7, 4, 4, 7, 5, 4, 4, 4, 6, 4, 4, 5, 6, 3, 5, 6, 9, 2, 6, 6, 3, 6, 3, 7, 2, 4, 6, 6, 2, 5, 2, 3, 4, 5, 5, 5, 4, 1 6, 7, 2, 2, 3, 3, 4, 5, 4, 3, 2, 5, 5, 6, 6, 6, 4, 4, 5, 4, 5, 3, 7, 3, 4, 2, 3, 5, 3, 4, 4, 4, 3, 2, 5, 5, 5, 3, 8, 5, 5, 3, 5, 5, 7, 5, 6, 3, 6, 2, 6, 4, 4, 2, 7, 5, 3, 3, 4, 5, 5, 2, 3, 5, 7, 2, 4, 5, 5, 4, 3, 4, 3, 4, 4, 6, 2, 3, 2, 3, 5, 2, 1, 5, 3, 4, 6, 6, 3, 5, 4, 6, 6, 8, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 3, 4, 8, 3, 2, 5, 4, 7, 5, 6, 4, 4, 5, 3, 5, 5, 2, 5, 6, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 6, 9, 3, 6, 4, 4, 3, 6, 7, 3, 4, 5, 3, 4, 6, 5, 4, 4, 7, 5, 6, 5, 6, 3, 4, 1, 5, 5, 4, 2, 2, 4, 7, 5, 2, 6, 4, 5, 5, 2, 4, 7, 4, 6, 5, 4, 2, 5, 3, 4, 4, 3, 5, 6, 5, 6, 6, 4, 6, 7, 4, 3, 3, 7, 6, 5, 5, 3, 6, 6, 4, 4, 3, 7, 4, 7, 4, 5, 4, 4, 8, 4, 6, 4, 4, 6, 6, 3, 4, 6, 5, 4, 5, 4, 4, 6, 7, 2, 4, 5, 3, 5, 6, 1, 4, 5, 6, 2, 5, 2, 6, 5, 5, 4, 3, 4, 7, 5, 6, 3, 4, 4, 3, 5, 8, 2, 5, 3, 4, 4, 6, 3, 5, 4, 3, 4, 4, 6, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 6, 2, 7, 4, 6, 4, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 5, 5, 6, 7, 6, 4, 4, 3, 5, 2, 2, 5, 5, 3, 4, 4, 2, 5, 4, 3, 3, 5, 2, 5, 6, 4, 3, 4, 3, 8, 5, 6, 4, 5, 4, 5, 5, 3, 5, 6, 3, 5, 6, 4, 3, 6, 2, 6, 7, 3, 4, 4, 4, 6, 5, 5, 5, 4, 5, 3, 5, 6, 3, 0, 4, 4, 5, 5, 5, 3, 5, 4, 3, 6, 3, 3, 3, 3, 4, 2, 5, 5, 5, 8, 4, 3, 5, 4, 4, 4, 3, 5, 5, 4, 6, 6, 3, 5, 3, 5, 4, 5, 5, 4, 4, 7, 2, 5, 6, 3, 3, 6, 6, 4, 3, 7, 4, 4, 2, 3, 5, 7, 5, 7, 5, 2, 4, 5, 6, 3, 5, 4, 6, 4, 8, 5, 7, 6, 6, 5, 5, 4, 3, 7, 4, 6, 3, 3, 8, 3, 4, 6, 4, 4, 4, 7, 4, 4, 3, 4, 4, 2, 5, 3, 1, 5, 6, 6, 4, 3, 2, 5, 5, 3, 3, 4, 6, 5, 6, 3, 5, 3, 0, 4, 5, 6, 6, 6, 7, 7, 7, 3, 8, 4, 3, 1 4, 5, 5, 2, 4, 4, 5, 5, 7, 5, 3, 4, 7, 4, 4, 3, 5, 6, 3, 5, 7, 4, 2, 5, 4, 4, 5, 5, 2, 5, 7, 4, 6, 5, 6, 4, 4, 1, 4, 4, 4, 4, 6, 3, 5, 4, 3, 2, 6, 2, 7, 3, 5, 6, 3, 7, 5, 5, 4, 5, 6, 5, 5, 2, 7, 5, 4, 7, 4, 1, 5, 3, 2, 5, 3, 4, 4, 4, 4, 2, 6, 4, 5, 6, 5, 5, 6, 3, 5, 2, 4, 5, 5, 6, 5, 5, 2, 3, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 6, 4, 6, 4, 4, 2, 3, 3, 4, 5, 6, 5, 2, 5, 4, 3, 6, 7, 4, 5, 6, 4, 6, 5, 4, 3, 6, 3, 3, 6, 4, 5, 5, 3, 5, 5, 7, 7, 3, 6, 4, 5, 5, 5, 5, 3, 4, 4, 2, 3, 6, 4, 4, 5, 3, 3, 3, 8, 6, 6, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 3, 6, 4, 5, 7, 6, 5, 4, 4, 1, 4, 5, 4, 2, 5, 4, 5, 6, 5, 4, 6, 5, 4, 4, 5, 6, 5, 3, 3, 4, 1, 3, 2, 4, 2, 4, 6, 5, 4, 5, 4, 5, 5, 7, 5, 4, 3, 6, 5, 6, 4, 5, 4, 6, 4, 7, 7, 6, 4, 3, 5, 7, 4, 1, 3, 4, 6, 4, 4, 4, 5, 6, 4, 2, 5, 3, 4, 7, 3, 5, 5, 4, 1, 5, 4, 4, 3, 6, 5, 6, 5, 4, 5, 4, 7, 4, 4, 7, 4, 6, 4, 6, 3, 3, 3, 4, 6, 5, 6, 4, 4, 2, 7, 5, 4, 5, 5, 5, 4, 3, 4, 4, 6, 5, 5, 3, 6, 6, 2, 3, 3, 4, 4, 7, 3, 2, 4, 6, 3, 6, 4, 4, 4, 6, 4, 8, 5, 5, 4, 5, 3, 3, 5, 6, 5, 6, 4, 7, 4, 3, 2, 5, 3, 6, 6, 3, 4, 5, 4, 3, 4, 5, 6, 6, 5, 5, 6, 5, 8, 6, 7, 4, 2, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 5, 4, 6, 5, 5, 2, 4, 4, 4, 6, 3, 3, 3, 4, 1, 5, 6, 5, 2, 7, 4, 5, 5, 5, 5, 4, 7, 6, 3, 3, 7, 8, 5, 6, 3, 1, 4, 3, 5, 4, 4, 6, 3, 4, 5, 6, 3, 4, 6, 4, 5, 5, 4, 3, 4, 1, 4, 4, 4, 3, 4, 9, 5, 4, 6, 5, 6, 4, 5, 4, 7, 4, 5, 4, 6, 2, 2, 4, 3, 7, 6, 3, 8, 4, 6, 6, 3, 4, 5, 3, 5, 5, 4, 4, 2, 5, 6, 5, 5, 4, 3, 7, 4, 6, 6, 0, 6, 6, 4, 4, 5, 4, 5, 5, 7, 4, 4, 3, 6, 2, 5, 5, 4, 4, -1 5, 5, 4, 3, 3, 4, 5, 6, 7, 3, 4, 5, 5, 3, 3, 4, 6, 5, 7, 3, 8, 5, 3, 6, 2, 3, 1, 5, 4, 1, 6, 5, 2, 5, 5, 6, 4, 4, 3, 5, 5, 2, 4, 6, 6, 6, 3, 3, 6, 4, 4, 5, 3, 4, 4, 6, 7, 2, 3, 3, 3, 2, 5, 4, 8, 2, 5, 4, 1, 4, 3, 3, 4, 5, 5, 6, 2, 5, 5, 5, 4, 3, 2, 6, 3, 4, 5, 5, 6, 5, 4, 5, 6, 2, 6, 3, 1, 5, 5, 6, 2, 4, 3, 2, 4, 4, 6, 5, 5, 6, 6, 2, 4, 4, 4, 2, 4, 5, 6, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 7, 3, 3, 6, 4, 2, 3, 6, 4, 6, 4, 5, 4, 4, 2, 4, 6, 5, 3, 1, 5, 1, 6, 4, 7, 5, 4, 8, 4, 4, 5, 3, 2, 7, 5, 3, 4, 7, 5, 4, 3, 6, 1, 6, 6, 6, 4, 5, 6, 3, 1, 5, 4, 4, 6, 5, 4, 5, 5, 6, 4, 4, 3, 4, 6, 3, 7, 0, 6, 3, 4, 8, 6, 5, 8, 6, 4, 5, 6, 3, 2, 3, 6, 4, 3, 4, 6, 8, 3, 2, 7, 6, 2, 6, 5, 4, 5, 8, 5, 4, 3, 5, 2, 3, 4, 4, 3, 5, 4, 5, 4, 4, 3, 2, 3, 6, 3, 6, 4, 6, 1, 5, 6, 3, 3, 4, 3, 2, 6, 6, 4, 3, 4, 4, 6, 5, 5, 4, 2, 3, 5, 6, 3, 3, 2, 6, 6, 4, 4, 5, 3, 4, 7, 6, 2, 6, 3, 6, 4, 3, 5, 6, 7, 5, 3, 3, 3, 3, 4, 5, 5, 6, 4, 4, 3, 4, 4, 4, 6, 8, 5, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 6, 4, 5, 5, 5, 5, 5, 2, 5, 8, 5, 5, 5, 6, 5, 6, 8, 5, 4, 4, 3, 4, 6, 5, 4, 4, 5, 6, 1, 3, 7, 4, 2, 6, 5, 4, 6, 4, 5, 6, 5, 3, 5, 7, 4, 5, 4, 4, 5, 6, 5, 2, 4, 4, 4, 3, 7, 6, 6, 2, 4, 5, 4, 9, 5, 3, 7, 4, 5, 6, 4, 6, 5, 4, 4, 4, 5, 2, 8, 4, 5, 6, 6, 4, 5, 5, 5, 5, 4, 5, 4, 5, 6, 4, 4, 2, 3, 4, 7, 4, 5, 5, 2, 4, 3, 5, 1, 6, 3, 6, 7, 5, 3, 7, 6, 4, 4, 5, 3, 6, 4, 4, 3, 5, 4, 6, 5, 4, 7, 2, 4, 4, 3, 6, 7, 7, 4, 1, 3, 6, 5, 3, 2, 5, 5, 2, 7, 4, 2, 5, 3, 3, 3, 3, 5, 3, 4, 3, 5, 6, 5, 3, 4, 3, 8, 3, 4, 3, 4, 6, 3, 4, 4, 5, 5, 6, 5, 3, 8, 5, 1 5, 5, 5, 4, 2, 1, 5, 8, 5, 5, 6, 3, 6, 4, 6, 4, 6, 7, 4, 5, 4, 4, 6, 5, 4, 3, 4, 2, 4, 1, 5, 5, 4, 4, 5, 3, 3, 5, 3, 4, 6, 7, 4, 3, 4, 5, 5, 3, 3, 5, 4, 5, 6, 6, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 2, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 6, 7, 3, 5, 2, 7, 5, 4, 2, 6, 6, 5, 7, 4, 6, 3, 6, 6, 2, 6, 7, 2, 2, 5, 4, 1, 4, 6, 6, 6, 2, 3, 5, 4, 3, 7, 5, 4, 5, 3, 7, 4, 3, 4, 5, 4, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 3, 6, 2, 5, 5, 5, 4, 4, 1, 5, 4, 8, 6, 5, 6, 6, 4, 2, 4, 5, 5, 4, 6, 6, 4, 5, 3, 6, 3, 4, 5, 6, 6, 3, 4, 2, 2, 3, 6, 3, 6, 4, 6, 6, 6, 7, 4, 4, 4, 6, 6, 3, 7, 3, 6, 3, 5, 3, 4, 6, 5, 4, 5, 5, 5, 3, 6, 5, 3, 6, 2, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 3, 6, 5, 1, 7, 2, 0, 5, 7, 4, 7, 6, 5, 2, 4, 5, 3, 5, 3, 5, 3, 4, 2, 6, 7, 5, 4, 5, 3, 6, 5, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 6, 2, 7, 5, 4, 4, 3, 5, 5, 4, 3, 4, 4, 6, 6, 2, 2, 4, 4, 6, 2, 5, 2, 5, 8, 4, 7, 3, 5, 4, 5, 4, 7, 5, 4, 3, 3, 7, 5, 3, 6, 6, 5, 5, 5, 5, 3, 6, 5, 2, 6, 6, 6, 2, 2, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 9, 4, 7, 5, 2, 5, 4, 4, 4, 5, 5, 6, 2, 5, 3, 3, 4, 6, 6, 7, 5, 4, 3, 3, 4, 7, 7, 3, 9, 8, 3, 3, 4, 6, 3, 5, 2, 3, 5, 4, 4, 4, 4, 3, 3, 6, 3, 5, 4, 7, 5, 4, 5, 4, 3, 2, 3, 5, 6, 3, 4, 4, 2, 4, 7, 4, 8, 4, 5, 2, 6, 1, 5, 5, 5, 6, 5, 4, 6, 4, 5, 1, 5, 5, 2, 7, 3, 6, 6, 3, 6, 4, 7, 3, 4, 4, 4, 6, 3, 4, 6, 6, 4, 5, 2, 2, 8, 5, 5, 5, 2, 4, 4, 3, 3, 7, 4, 7, 5, 6, 5, 4, 5, 5, 4, 4, 7, 3, 5, 6, 5, 2, 6, 4, 6, 5, 6, 5, 4, 2, 6, 5, 2, 3, 3, 5, 6, 4, 5, 4, 5, 7, 7, 6, 6, 7, 5, 3, 5, 3, 2, 3, 5, 5, 3, 2, 4, 5, 6, 5, 5, 3, 4, 3, 7, 3, 1 8, 3, 3, 6, 2, 3, 7, 3, 2, 4, 6, 5, 7, 4, 2, 4, 3, 4, 5, 4, 6, 6, 3, 5, 4, 6, 2, 2, 6, 4, 5, 4, 6, 5, 5, 4, 4, 4, 7, 5, 5, 5, 7, 3, 4, 4, 5, 3, 3, 4, 7, 4, 3, 3, 4, 5, 4, 4, 2, 5, 8, 3, 6, 2, 7, 4, 6, 5, 7, 4, 3, 5, 4, 2, 6, 7, 6, 3, 5, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 2, 7, 5, 6, 4, 4, 2, 2, 4, 7, 6, 5, 3, 2, 2, 6, 6, 7, 6, 5, 4, 3, 5, 7, 6, 5, 4, 5, 5, 2, 5, 6, 5, 4, 5, 3, 6, 3, 3, 4, 4, 5, 5, 6, 3, 5, 4, 4, 5, 4, 0, 5, 3, 9, 4, 6, 7, 3, 3, 5, 5, 4, 5, 6, 4, 5, 5, 4, 5, 5, 4, 3, 5, 2, 4, 4, 3, 7, 4, 4, 5, 4, 3, 5, 4, 5, 2, 6, 2, 4, 3, 3, 4, 3, 8, 7, 6, 3, 6, 4, 3, 4, 5, 5, 4, 2, 2, 4, 5, 5, 6, 2, 7, 3, 5, 4, 4, 3, 5, 6, 4, 2, 4, 4, 5, 6, 4, 6, 3, 5, 4, 4, 2, 5, 1, 4, 5, 6, 3, 6, 2, 1, 5, 5, 4, 4, 5, 5, 4, 4, 5, 0, 4, 5, 4, 6, 4, 6, 4, 5, 7, 4, 4, 4, 4, 3, 2, 7, 5, 5, 4, 3, 3, 4, 5, 6, 5, 5, 3, 5, 2, 5, 4, 2, 4, 4, 3, 2, 6, 3, 5, 4, 4, 6, 6, 5, 4, 4, 4, 6, 6, 5, 2, 6, 6, 2, 6, 5, 3, 5, 5, 3, 3, 5, 5, 5, 4, 4, 4, 5, 3, 5, 0, 5, 3, 1, 4, 6, 3, 5, 7, 5, 4, 5, 4, 6, 6, 4, 2, 5, 5, 4, 3, 5, 8, 6, 6, 4, 5, 5, 6, 3, 6, 1, 6, 5, 6, 4, 6, 5, 3, 4, 7, 5, 5, 3, 6, 5, 5, 7, 3, 4, 2, 3, 3, 5, 8, 5, 6, 5, 6, 2, 5, 5, 7, 4, 6, 3, 5, 5, 7, 7, 4, 3, 3, 1, 3, 4, 3, 5, 4, 4, 3, 6, 6, 6, 4, 5, 4, 4, 6, 6, 4, 7, 5, 4, 3, 5, 5, 3, 3, 5, 4, 3, 4, 5, 5, 9, 4, 4, 6, 5, 4, 4, 0, 4, 7, 3, 5, 7, 5, 5, 5, 5, 4, 5, 4, 3, 3, 3, 3, 2, 2, 4, 9, 5, 5, 4, 8, 5, 5, 3, 3, 2, 9, 3, 4, 2, 3, 7, 3, 6, 4, 4, 3, 4, 3, 5, 6, 5, 5, 1, 4, 6, 5, 5, 4, 5, 4, 5, 2, 5, 7, 5, 6, 5, 3, 4, 4, 6, 4, 8, 2, 4, 5, 4, 3, 3, 3, -1 3, 4, 4, 3, 5, 3, 6, 4, 5, 3, 4, 4, 6, 6, 5, 7, 5, 8, 4, 4, 6, 4, 4, 7, 4, 3, 4, 6, 8, 5, 7, 4, 5, 6, 5, 7, 5, 5, 4, 3, 3, 4, 6, 4, 5, 4, 4, 6, 4, 2, 6, 3, 3, 3, 4, 4, 6, 5, 4, 6, 4, 5, 2, 5, 8, 4, 4, 6, 2, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 5, 2, 3, 5, 4, 2, 3, 5, 3, 6, 3, 4, 4, 5, 5, 3, 5, 4, 6, 6, 6, 5, 2, 4, 6, 6, 3, 5, 0, 5, 6, 2, 6, 4, 6, 6, 4, 5, 3, 3, 1, 4, 7, 4, 3, 6, 3, 3, 5, 4, 4, 3, 3, 6, 4, 9, 3, 5, 3, 3, 4, 3, 6, 6, 4, 4, 3, 4, 5, 5, 2, 5, 2, 6, 5, 6, 4, 2, 4, 5, 5, 5, 4, 3, 2, 3, 6, 4, 5, 4, 5, 9, 2, 5, 4, 3, 6, 5, 4, 4, 4, 4, 7, 4, 4, 5, 4, 5, 3, 2, 3, 5, 4, 7, 4, 4, 6, 3, 5, 5, 4, 4, 7, 3, 4, 6, 5, 4, 3, 4, 6, 3, 5, 2, 5, 5, 4, 5, 4, 6, 4, 5, 5, 3, 3, 6, 4, 7, 5, 6, 3, 4, 6, 4, 4, 4, 4, 5, 5, 6, 2, 6, 2, 2, 2, 7, 5, 5, 2, 3, 4, 4, 6, 6, 6, 6, 8, 6, 7, 5, 2, 5, 4, 4, 5, 3, 6, 6, 4, 3, 3, 7, 3, 7, 5, 4, 6, 4, 5, 6, 6, 3, 5, 8, 5, 2, 4, 6, 3, 3, 5, 5, 3, 1, 4, 5, 3, 3, 6, 7, 4, 5, 5, 5, 5, 5, 5, 3, 7, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 7, 5, 5, 5, 4, 3, 5, 5, 6, 4, 6, 6, 5, 4, 4, 4, 4, 6, 7, 3, 5, 3, 5, 5, 4, 5, 3, 4, 0, 4, 4, 5, 4, 5, 3, 5, 6, 7, 5, 4, 6, 5, 5, 7, 5, 4, 7, 5, 6, 5, 5, 6, 3, 2, 5, 4, 2, 6, 3, 4, 4, 3, 4, 5, 4, 5, 2, 6, 3, 5, 5, 4, 5, 5, 2, 6, 5, 6, 5, 6, 4, 2, 3, 2, 5, 3, 5, 3, 4, 6, 4, 4, 4, 0, 4, 8, 7, 3, 5, 6, 4, 3, 4, 4, 4, 4, 7, 6, 7, 3, 6, 2, 5, 3, 3, 5, 5, 2, 4, 3, 5, 6, 3, 5, 3, 5, 3, 4, 4, 2, 5, 4, 5, 7, 3, 4, 2, 7, 4, 2, 4, 5, 3, 5, 4, 5, 5, 3, 4, 4, 5, 7, 4, 2, 3, 5, 4, 2, 4, 5, 5, 3, 3, 3, 6, 5, 4, 2, 6, 3, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 4, 6, 1 9, 4, 6, 4, 4, 2, 6, 4, 5, 0, 4, 7, 5, 3, 5, 4, 4, 4, 4, 4, 4, 6, 7, 5, 5, 4, 3, 3, 7, 4, 5, 3, 2, 8, 6, 4, 5, 6, 5, 5, 6, 3, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 2, 4, 3, 6, 6, 5, 1, 3, 3, 4, 2, 4, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 6, 2, 5, 3, 6, 5, 2, 4, 4, 4, 6, 1, 5, 4, 4, 4, 2, 7, 5, 3, 5, 4, 3, 5, 4, 4, 7, 5, 4, 6, 4, 4, 6, 4, 6, 3, 4, 5, 5, 5, 3, 6, 4, 4, 4, 5, 6, 6, 6, 6, 5, 3, 4, 7, 5, 4, 6, 4, 7, 4, 6, 3, 4, 6, 3, 4, 5, 3, 4, 3, 3, 5, 4, 2, 3, 6, 4, 5, 6, 3, 4, 5, 3, 5, 3, 5, 3, 3, 1, 7, 5, 6, 5, 4, 3, 4, 2, 5, 8, 6, 6, 1, 6, 4, 5, 5, 7, 5, 1, 4, 4, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 3, 1, 6, 3, 6, 5, 0, 4, 6, 3, 4, 5, 3, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 5, 5, 3, 6, 4, 3, 4, 3, 6, 5, 4, 5, 5, 0, 6, 5, 4, 8, 5, 2, 3, 3, 7, 4, 5, 5, 3, 2, 4, 4, 6, 2, 4, 4, 6, 5, 6, 4, 4, 5, 3, 5, 4, 4, 3, 3, 7, 3, 6, 4, 7, 6, 2, 5, 5, 7, 3, 3, 3, 5, 3, 4, 5, 3, 4, 3, 6, 1, 4, 4, 4, 4, 4, 2, 5, 4, 5, 7, 3, 5, 8, 2, 7, 7, 4, 5, 6, 5, 4, 4, 5, 3, 4, 6, 8, 5, 6, 8, 3, 3, 7, 2, 3, 3, 7, 3, 5, 3, 4, 4, 5, 9, 3, 5, 3, 3, 4, 6, 6, 5, 3, 4, 4, 3, 3, 6, 4, 5, 6, 5, 3, 4, 4, 7, 3, 6, 5, 4, 8, 6, 5, 7, 4, 4, 3, 4, 4, 3, 5, 5, 5, 5, 6, 3, 4, 3, 2, 6, 3, 6, 5, 2, 4, 4, 5, 4, 4, 6, 4, 8, 3, 5, 6, 4, 6, 6, 4, 3, 6, 6, 5, 6, 5, 8, 2, 7, 4, 3, 2, 5, 4, 1, 3, 4, 5, 3, 4, 6, 6, 7, 1, 3, 6, 3, 3, 5, 6, 5, 5, 3, 7, 4, 2, 6, 6, 3, 5, 3, 1, 4, 3, 5, 6, 4, 7, 5, 3, 7, 4, 1, 4, 7, 6, 4, 4, 5, 6, 3, 4, 6, 7, 5, 5, 3, 4, 3, 1, 5, 1, 2, 3, 7, 3, 5, 3, 4, 4, 5, 4, 6, 7, 1, 3, 5, 3, 4, 3, 3, 4, 0, 3, 5, 4, 4, 4, 3, -1 4, 3, 4, 4, 6, 1, 3, 2, 6, 5, 4, 3, 5, 6, 4, 6, 2, 4, 2, 6, 7, 3, 3, 5, 2, 6, 3, 4, 4, 3, 6, 4, 2, 2, 5, 5, 2, 4, 5, 4, 6, 3, 6, 5, 6, 4, 4, 4, 2, 5, 5, 5, 3, 6, 5, 5, 4, 4, 4, 4, 7, 3, 6, 4, 2, 4, 4, 4, 3, 6, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 1, 6, 2, 5, 4, 5, 2, 4, 5, 5, 7, 5, 3, 5, 4, 3, 5, 4, 4, 5, 2, 4, 2, 5, 3, 5, 4, 4, 8, 7, 4, 6, 4, 7, 3, 3, 6, 5, 3, 3, 3, 4, 5, 8, 6, 1, 5, 4, 6, 4, 4, 4, 5, 4, 6, 5, 5, 5, 6, 6, 5, 3, 5, 5, 5, 6, 5, 4, 5, 4, 5, 3, 4, 6, 5, 5, 4, 4, 3, 5, 6, 3, 2, 5, 5, 4, 4, 5, 6, 5, 5, 8, 4, 4, 4, 6, 6, 3, 6, 2, 4, 2, 4, 6, 5, 5, 6, 5, 4, 6, 8, 3, 2, 6, 4, 3, 4, 5, 6, 3, 4, 4, 3, 6, 5, 4, 5, 2, 3, 4, 2, 5, 5, 5, 6, 6, 5, 5, 6, 3, 5, 4, 2, 4, 6, 7, 5, 4, 4, 6, 4, 4, 4, 3, 3, 4, 6, 4, 5, 3, 2, 7, 3, 3, 5, 4, 4, 6, 5, 7, 6, 5, 5, 5, 4, 5, 3, 5, 5, 2, 8, 5, 4, 6, 4, 5, 7, 4, 1, 3, 4, 5, 5, 3, 6, 5, 4, 6, 5, 7, 5, 6, 4, 1, 9, 3, 7, 3, 6, 6, 1, 8, 5, 2, 4, 5, 5, 3, 4, 6, 4, 6, 5, 5, 7, 6, 6, 3, 4, 4, 3, 2, 4, 2, 3, 4, 4, 5, 4, 4, 4, 6, 5, 6, 3, 4, 7, 4, 6, 2, 5, 3, 5, 4, 3, 5, 2, 4, 2, 5, 4, 6, 5, 5, 4, 4, 2, 6, 4, 4, 2, 2, 4, 4, 2, 5, 4, 5, 4, 6, 3, 3, 4, 1, 5, 5, 8, 2, 3, 2, 4, 5, 4, 3, 3, 5, 2, 4, 2, 5, 3, 3, 4, 5, 4, 7, 4, 2, 3, 4, 6, 6, 1, 5, 5, 5, 5, 6, 5, 3, 3, 6, 5, 5, 5, 7, 6, 7, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 8, 2, 4, 4, 4, 4, 7, 5, 3, 7, 3, 4, 4, 5, 5, 7, 6, 3, 6, 5, 3, 5, 3, 6, 5, 5, 4, 4, 3, 4, 6, 6, 5, 4, 6, 7, 4, 2, 5, 6, 5, 5, 5, 3, 5, 5, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 2, 7, 3, 4, 4, 6, 3, 7, 4, 7, 5, 2, 4, 5, 5, 6, 6, 4, 7, 6, 4, 5, 3, 1 2, 5, 7, 6, 6, 5, 4, 7, 3, 4, 4, 3, 4, 1, 6, 7, 6, 1, 4, 5, 6, 6, 7, 4, 5, 6, 3, 1, 5, 4, 4, 7, 2, 4, 6, 2, 2, 3, 4, 5, 3, 3, 4, 4, 6, 3, 4, 6, 3, 2, 5, 5, 6, 4, 4, 7, 2, 3, 4, 7, 5, 5, 4, 4, 6, 4, 7, 4, 6, 5, 7, 4, 6, 4, 4, 5, 4, 4, 5, 3, 5, 2, 3, 5, 3, 5, 4, 6, 4, 6, 4, 7, 4, 3, 4, 4, 4, 3, 1, 4, 4, 6, 4, 3, 5, 4, 7, 6, 4, 5, 3, 5, 7, 3, 6, 2, 4, 6, 4, 4, 4, 3, 5, 3, 8, 4, 5, 7, 4, 4, 5, 5, 5, 5, 3, 4, 3, 4, 2, 3, 3, 3, 2, 4, 3, 5, 6, 7, 4, 5, 6, 2, 3, 3, 5, 3, 4, 5, 2, 4, 3, 4, 7, 5, 4, 4, 5, 6, 2, 4, 5, 7, 4, 4, 5, 3, 4, 5, 7, 4, 4, 3, 5, 4, 4, 2, 4, 4, 6, 5, 5, 3, 3, 4, 3, 5, 6, 4, 3, 3, 7, 4, 4, 4, 7, 4, 5, 4, 3, 5, 3, 7, 6, 6, 3, 4, 4, 5, 5, 5, 4, 4, 3, 8, 5, 6, 4, 2, 4, 5, 6, 3, 3, 5, 5, 4, 5, 3, 6, 4, 3, 2, 6, 5, 4, 3, 4, 3, 4, 4, 5, 7, 2, 2, 4, 3, 2, 5, 5, 5, 5, 4, 6, 3, 4, 3, 5, 4, 3, 6, 4, 5, 4, 1, 4, 6, 4, 7, 4, 1, 7, 3, 5, 3, 3, 6, 5, 4, 3, 4, 5, 2, 2, 3, 5, 4, 5, 3, 6, 6, 6, 4, 4, 1, 6, 2, 3, 7, 6, 4, 3, 3, 5, 3, 5, 3, 4, 7, 5, 3, 4, 5, 4, 7, 5, 4, 3, 6, 6, 5, 5, 3, 5, 5, 5, 7, 5, 3, 6, 5, 1, 6, 3, 5, 4, 3, 6, 6, 6, 4, 4, 1, 4, 5, 3, 5, 1, 6, 3, 4, 5, 4, 5, 5, 5, 5, 5, 2, 5, 2, 5, 6, 6, 4, 7, 6, 3, 4, 3, 4, 5, 1, 3, 5, 2, 5, 3, 4, 7, 5, 5, 4, 3, 5, 2, 6, 5, 4, 6, 4, 6, 5, 4, 4, 1, 4, 4, 6, 5, 3, 4, 1, 5, 5, 5, 4, 4, 1, 6, 3, 5, 5, 3, 4, 4, 5, 7, 4, 3, 3, 4, 4, 4, 3, 4, 3, 6, 4, 4, 5, 5, 5, 7, 7, 3, 4, 5, 3, 6, 7, 5, 5, 4, 6, 4, 4, 3, 3, 5, 3, 3, 5, 4, 5, 6, 3, 4, 3, 4, 3, 2, 7, 7, 4, 6, 1, 3, 4, 4, 3, 4, 3, 5, 5, 5, 5, 4, 3, 4, 4, 7, 4, 4, 5, 3, 4, 4, 4, 3, 5, 1 6, 3, 2, 3, 4, 3, 7, 4, 6, 4, 5, 3, 6, 4, 3, 6, 3, 3, 6, 8, 7, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 2, 5, 6, 1, 5, 4, 5, 3, 1, 5, 3, 3, 3, 3, 4, 3, 6, 6, 3, 5, 6, 2, 4, 4, 2, 5, 2, 5, 5, 5, 3, 2, 3, 4, 5, 2, 5, 4, 4, 4, 5, 6, 5, 5, 2, 6, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 7, 2, 4, 6, 3, 6, 4, 4, 4, 3, 2, 5, 3, 4, 3, 6, 9, 6, 4, 3, 7, 3, 5, 7, 3, 5, 4, 4, 3, 5, 4, 3, 6, 6, 6, 5, 2, 4, 6, 5, 5, 3, 9, 4, 2, 4, 6, 3, 4, 4, 3, 6, 3, 5, 6, 6, 6, 8, 5, 8, 4, 3, 6, 3, 5, 5, 4, 5, 5, 4, 6, 5, 5, 6, 5, 4, 5, 3, 7, 3, 4, 4, 4, 2, 4, 6, 5, 4, 2, 5, 5, 5, 4, 4, 3, 2, 4, 5, 5, 4, 5, 3, 3, 3, 3, 6, 2, 6, 6, 5, 2, 5, 4, 3, 6, 4, 6, 4, 5, 4, 5, 7, 5, 5, 5, 4, 4, 4, 4, 2, 4, 6, 2, 7, 6, 5, 3, 4, 6, 3, 3, 5, 6, 4, 3, 3, 5, 8, 3, 5, 3, 6, 5, 4, 5, 6, 1, 7, 7, 4, 6, 6, 3, 4, 5, 3, 6, 5, 6, 5, 5, 4, 6, 5, 6, 4, 6, 4, 2, 4, 3, 8, 5, 3, 4, 3, 7, 5, 7, 5, 5, 3, 4, 7, 6, 3, 5, 4, 4, 6, 5, 4, 4, 4, 5, 4, 5, 5, 5, 1, 4, 4, 2, 4, 3, 4, 7, 5, 3, 6, 4, 4, 4, 5, 4, 5, 4, 6, 6, 8, 4, 6, 2, 4, 3, 1, 6, 0, 7, 7, 3, 8, 5, 4, 4, 4, 1, 6, 3, 6, 3, 6, 5, 4, 5, 6, 6, 6, 2, 5, 4, 2, 4, 2, 6, 5, 5, 4, 6, 6, 5, 4, 5, 3, 5, 6, 4, 3, 4, 3, 5, 6, 5, 5, 4, 5, 3, 3, 3, 3, 3, 5, 1, 5, 1, 5, 8, 4, 5, 3, 2, 7, 3, 3, 5, 4, 2, 7, 3, 4, 6, 3, 5, 6, 3, 5, 5, 3, 3, 6, 5, 3, 6, 2, 3, 5, 3, 5, 7, 2, 3, 5, 6, 2, 8, 7, 6, 4, 4, 7, 5, 3, 2, 3, 6, 4, 6, 7, 3, 6, 2, 5, 4, 6, 4, 4, 4, 5, 5, 5, 2, 5, 5, 4, 4, 3, 4, 5, 1, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 6, 5, 6, 1, 8, 2, 2, 3, 5, 4, 7, 5, 5, 5, 3, 4, 4, 5, 4, 3, 3, 8, 4, 1, 2, 4, 2, 1 6, 4, 5, 6, 4, 3, 6, 6, 5, 0, 6, 6, 7, 5, 4, 4, 3, 5, 5, 3, 5, 7, 4, 4, 6, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 2, 6, 6, 4, 2, 5, 5, 5, 8, 3, 4, 3, 4, 5, 5, 4, 5, 7, 6, 4, 8, 5, 6, 2, 4, 5, 6, 3, 5, 5, 4, 4, 3, 3, 4, 3, 6, 4, 5, 3, 4, 4, 5, 4, 4, 4, 7, 3, 7, 4, 4, 7, 5, 6, 4, 5, 5, 5, 3, 4, 4, 3, 4, 5, 4, 2, 4, 4, 5, 6, 7, 5, 4, 6, 6, 5, 5, 2, 4, 5, 3, 3, 4, 5, 4, 7, 4, 4, 7, 4, 5, 6, 6, 3, 6, 5, 4, 4, 3, 6, 5, 3, 4, 6, 2, 4, 7, 7, 6, 5, 5, 4, 5, 5, 8, 4, 4, 5, 3, 5, 5, 8, 4, 4, 4, 4, 2, 5, 4, 4, 6, 6, 4, 7, 3, 4, 5, 4, 4, 7, 4, 6, 2, 3, 4, 2, 3, 6, 3, 4, 6, 6, 4, 5, 6, 5, 5, 2, 3, 6, 3, 7, 3, 3, 5, 4, 4, 5, 4, 1, 6, 4, 5, 3, 4, 3, 4, 3, 3, 2, 5, 2, 6, 4, 2, 5, 6, 3, 5, 4, 5, 4, 6, 5, 4, 1, 3, 5, 7, 5, 4, 4, 6, 4, 6, 2, 5, 5, 4, 4, 6, 7, 2, 6, 2, 4, 2, 6, 6, 4, 4, 4, 2, 5, 6, 3, 4, 8, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 4, 3, 3, 8, 5, 6, 4, 4, 4, 5, 5, 7, 5, 6, 4, 7, 5, 2, 5, 3, 4, 7, 5, 3, 5, 5, 8, 5, 4, 5, 3, 4, 4, 3, 6, 3, 8, 6, 5, 4, 4, 5, 4, 6, 7, 6, 4, 3, 5, 4, 6, 2, 4, 8, 2, 5, 3, 5, 5, 5, 2, 5, 3, 4, 4, 2, 4, 3, 4, 8, 4, 3, 7, 5, 5, 5, 3, 5, 5, 3, 3, 6, 4, 2, 5, 3, 4, 5, 4, 4, 4, 2, 6, 2, 5, 4, 3, 5, 5, 7, 3, 3, 4, 4, 3, 5, 5, 5, 7, 4, 5, 4, 3, 4, 2, 2, 5, 3, 4, 5, 7, 8, 4, 5, 2, 6, 5, 5, 7, 7, 4, 6, 5, 4, 5, 6, 5, 3, 5, 5, 6, 3, 3, 9, 6, 7, 3, 2, 5, 5, 6, 6, 8, 3, 4, 8, 8, 2, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5, 3, 3, 6, 5, 6, 3, 5, 5, 4, 6, 2, 4, 3, 4, 3, 6, 4, 2, 4, 5, 4, 5, 3, 5, 4, 5, 3, 2, 5, 6, 3, 5, 4, 5, 6, 3, 2, 4, 8, 5, 5, 6, 4, 5, 6, 4, 3, 5, 7, 3, 5, 4, 4, 3, -1 4, 4, 8, 3, 3, 5, 4, 4, 5, 3, 5, 4, 5, 5, 8, 5, 4, 3, 5, 2, 6, 5, 2, 8, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 6, 6, 3, 5, 5, 5, 6, 4, 5, 4, 5, 4, 3, 3, 4, 7, 4, 4, 4, 3, 4, 4, 5, 4, 4, 2, 3, 3, 4, 5, 6, 2, 4, 5, 5, 4, 4, 6, 0, 7, 3, 3, 5, 3, 4, 5, 5, 3, 0, 6, 5, 3, 4, 4, 7, 5, 4, 4, 3, 6, 4, 4, 5, 7, 4, 4, 3, 4, 4, 6, 4, 4, 5, 2, 4, 4, 4, 3, 4, 4, 2, 5, 2, 4, 5, 5, 4, 4, 6, 3, 4, 4, 5, 9, 4, 5, 5, 5, 4, 7, 2, 6, 2, 4, 4, 3, 2, 5, 5, 1, 4, 5, 4, 4, 3, 7, 4, 5, 5, 5, 6, 2, 6, 7, 4, 5, 6, 2, 4, 6, 3, 6, 5, 4, 4, 4, 4, 5, 3, 4, 3, 6, 4, 6, 5, 3, 4, 2, 3, 4, 4, 4, 6, 9, 5, 5, 8, 1, 4, 5, 5, 5, 3, 7, 3, 4, 6, 5, 3, 5, 4, 6, 4, 3, 5, 2, 3, 5, 1, 4, 4, 3, 5, 2, 1, 5, 4, 5, 5, 4, 8, 4, 4, 5, 8, 4, 3, 6, 5, 4, 2, 6, 5, 3, 7, 3, 5, 6, 4, 4, 4, 4, 6, 3, 4, 3, 5, 8, 3, 5, 4, 4, 4, 7, 5, 3, 6, 5, 5, 6, 5, 2, 5, 7, 2, 2, 5, 3, 4, 6, 5, 6, 4, 2, 7, 2, 3, 4, 2, 4, 5, 5, 2, 5, 4, 4, 4, 7, 5, 4, 3, 3, 5, 3, 8, 3, 6, 6, 4, 5, 4, 6, 7, 2, 3, 4, 5, 3, 4, 4, 3, 5, 7, 5, 6, 6, 6, 6, 6, 6, 4, 3, 4, 3, 3, 5, 3, 2, 4, 3, 5, 4, 5, 2, 4, 4, 3, 4, 4, 3, 4, 6, 1, 7, 5, 3, 4, 4, 4, 2, 3, 6, 5, 4, 5, 4, 4, 6, 5, 3, 2, 3, 3, 2, 4, 4, 3, 5, 6, 5, 3, 5, 6, 6, 4, 4, 4, 4, 4, 2, 4, 6, 3, 4, 4, 5, 2, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 5, 7, 3, 3, 4, 6, 5, 4, 4, 4, 4, 3, 4, 4, 6, 3, 6, 3, 6, 4, 4, 4, 3, 6, 6, 3, 5, 5, 7, 5, 4, 5, 4, 5, 7, 4, 3, 3, 4, 4, 2, 7, 4, 5, 5, 5, 5, 5, 7, 5, 4, 2, 6, 7, 3, 2, 7, 5, 6, 5, 1, 5, 6, 3, 3, 3, 6, 5, 3, 5, 2, 4, 3, 6, 5, 6, 6, 3, 3, 5, 5, 5, 7, 5, 4, 4, 4, 5, 5, 2, 4, 2, 4, 4, 3, 2, 4, 4, -1 5, 1, 5, 5, 5, 6, 2, 4, 5, 6, 2, 2, 5, 6, 1, 4, 8, 4, 6, 3, 7, 5, 6, 5, 5, 5, 3, 4, 3, 6, 3, 5, 4, 3, 5, 4, 6, 4, 4, 6, 4, 4, 4, 4, 6, 2, 3, 5, 3, 6, 6, 4, 4, 4, 3, 4, 5, 3, 0, 5, 6, 6, 1, 3, 6, 5, 1, 4, 6, 4, 5, 5, 1, 3, 5, 7, 4, 5, 2, 4, 4, 3, 5, 4, 5, 2, 5, 6, 3, 3, 4, 5, 6, 3, 5, 4, 4, 2, 7, 6, 4, 6, 2, 4, 5, 2, 6, 4, 2, 2, 3, 5, 6, 5, 4, 4, 5, 3, 4, 5, 3, 3, 8, 6, 6, 6, 4, 7, 3, 4, 3, 5, 4, 6, 6, 4, 3, 4, 4, 1, 7, 5, 3, 4, 5, 4, 6, 3, 3, 7, 4, 4, 5, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 2, 2, 5, 4, 3, 1, 1, 6, 8, 4, 5, 5, 8, 4, 3, 6, 7, 4, 6, 3, 4, 4, 7, 7, 5, 8, 3, 4, 7, 4, 5, 3, 3, 5, 5, 6, 5, 4, 6, 4, 4, 3, 8, 3, 4, 4, 5, 6, 5, 4, 3, 3, 5, 5, 5, 4, 6, 3, 4, 3, 7, 6, 4, 6, 6, 4, 2, 4, 4, 6, 3, 4, 3, 6, 4, 4, 3, 5, 4, 4, 4, 8, 4, 4, 4, 4, 5, 4, 4, 3, 4, 6, 4, 5, 4, 5, 2, 3, 4, 5, 3, 4, 6, 4, 3, 7, 5, 5, 3, 6, 4, 4, 5, 3, 4, 2, 3, 5, 4, 6, 5, 5, 2, 5, 4, 3, 4, 6, 1, 4, 3, 5, 4, 4, 3, 6, 4, 7, 7, 8, 5, 6, 4, 4, 6, 9, 3, 3, 5, 7, 4, 5, 5, 3, 4, 4, 5, 3, 6, 7, 3, 5, 5, 7, 4, 1, 5, 5, 3, 4, 7, 6, 3, 7, 5, 0, 6, 6, 6, 2, 5, 4, 3, 6, 6, 4, 3, 4, 6, 7, 4, 4, 4, 4, 7, 4, 6, 6, 2, 5, 5, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 7, 2, 4, 4, 3, 3, 5, 3, 5, 6, 4, 3, 5, 4, 4, 5, 3, 4, 3, 7, 7, 3, 6, 4, 4, 4, 4, 3, 5, 9, 6, 3, 4, 2, 1, 4, 5, 5, 5, 4, 6, 4, 5, 4, 5, 5, 4, 1, 2, 4, 5, 5, 3, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 5, 7, 8, 2, 2, 4, 2, 6, 5, 3, 3, 5, 5, 6, 5, 5, 4, 5, 3, 6, 8, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 6, 4, 7, 2, 5, 7, 5, 3, 4, 5, 4, 3, 7, 2, 7, 3, 4, 7, 7, 4, 4, 4, 3, 5, 5, 3, 5, 2, 1 5, 6, 5, 3, 6, 2, 5, 3, 3, 5, 5, 8, 7, 5, 4, 5, 6, 5, 4, 5, 5, 5, 7, 3, 4, 6, 4, 4, 3, 7, 3, 4, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 3, 7, 3, 4, 3, 5, 3, 3, 1, 7, 5, 3, 4, 3, 6, 4, 5, 7, 7, 6, 4, 6, 4, 5, 5, 5, 4, 6, 5, 6, 2, 8, 3, 5, 4, 4, 3, 6, 5, 4, 3, 4, 4, 5, 3, 2, 5, 5, 4, 5, 6, 4, 5, 4, 1, 7, 3, 2, 6, 6, 5, 1, 4, 4, 6, 6, 5, 5, 3, 4, 6, 5, 4, 5, 4, 1, 4, 4, 6, 5, 4, 6, 8, 5, 5, 4, 4, 7, 5, 3, 5, 7, 2, 7, 4, 3, 7, 7, 3, 3, 4, 5, 5, 5, 3, 6, 3, 4, 5, 7, 5, 4, 4, 6, 5, 5, 3, 3, 4, 3, 7, 4, 4, 3, 6, 5, 2, 3, 4, 4, 3, 3, 4, 5, 5, 3, 8, 3, 7, 3, 2, 4, 6, 3, 5, 5, 6, 4, 6, 1, 0, 6, 4, 3, 3, 4, 6, 4, 5, 4, 4, 4, 5, 5, 3, 7, 4, 4, 4, 4, 3, 4, 5, 3, 2, 3, 3, 7, 5, 4, 5, 4, 6, 6, 5, 2, 4, 4, 5, 3, 5, 5, 4, 4, 5, 3, 5, 5, 4, 4, 6, 4, 4, 2, 6, 4, 3, 5, 3, 6, 4, 4, 5, 3, 7, 2, 4, 2, 5, 7, 4, 4, 5, 3, 6, 5, 1, 4, 3, 5, 6, 3, 4, 4, 7, 5, 6, 5, 1, 3, 6, 4, 4, 6, 4, 6, 0, 3, 7, 5, 5, 5, 3, 7, 5, 4, 6, 5, 4, 7, 3, 4, 6, 4, 4, 8, 5, 5, 6, 5, 5, 4, 5, 6, 5, 4, 3, 5, 8, 4, 5, 4, 4, 3, 7, 3, 4, 6, 7, 6, 1, 5, 5, 4, 4, 5, 5, 4, 3, 2, 4, 3, 2, 6, 5, 2, 4, 7, 4, 4, 3, 3, 5, 4, 7, 3, 3, 6, 5, 4, 5, 4, 4, 3, 4, 6, 4, 2, 4, 5, 6, 5, 4, 4, 5, 5, 3, 6, 4, 5, 4, 2, 3, 2, 3, 4, 4, 6, 4, 5, 5, 4, 5, 6, 7, 5, 6, 6, 4, 4, 4, 6, 5, 4, 8, 5, 4, 4, 5, 3, 3, 4, 1, 3, 5, 4, 7, 4, 8, 3, 5, 4, 2, 6, 4, 8, 6, 3, 5, 5, 4, 4, 7, 4, 6, 6, 5, 5, 3, 3, 7, 5, 4, 8, 5, 3, 7, 4, 3, 3, 4, 6, 4, 3, 4, 5, 4, 7, 5, 7, 4, 6, 4, 4, 6, 6, 5, 3, 4, 5, 7, 3, 4, 3, 5, 5, 4, 0, 5, 3, 5, 5, 5, 5, 4, 5, 1, 4, 8, 5, 5, 5, 6, 5, 6, 2, 4, 6, 1 8, 3, 3, 1, 2, 3, 7, 4, 5, 4, 4, 5, 4, 5, 6, 2, 4, 4, 6, 6, 5, 6, 5, 4, 8, 4, 2, 3, 8, 4, 4, 5, 3, 5, 6, 6, 4, 5, 5, 5, 5, 4, 3, 5, 9, 3, 6, 3, 7, 2, 5, 6, 4, 4, 3, 8, 6, 3, 4, 2, 3, 5, 5, 6, 6, 3, 5, 3, 5, 4, 4, 4, 3, 6, 4, 5, 5, 8, 3, 5, 4, 3, 4, 5, 7, 5, 8, 4, 6, 4, 4, 7, 6, 3, 3, 4, 3, 2, 5, 3, 4, 3, 8, 6, 5, 5, 9, 5, 1, 4, 2, 6, 4, 5, 4, 4, 6, 2, 4, 6, 3, 4, 5, 5, 6, 3, 3, 4, 6, 2, 4, 6, 5, 5, 4, 5, 5, 5, 5, 5, 7, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 8, 4, 5, 5, 2, 3, 1, 5, 5, 4, 3, 6, 5, 3, 5, 4, 4, 3, 5, 5, 7, 4, 3, 3, 3, 4, 7, 5, 8, 6, 3, 4, 4, 7, 6, 5, 7, 3, 3, 6, 3, 7, 3, 4, 2, 4, 6, 6, 7, 4, 6, 5, 6, 4, 6, 4, 5, 7, 4, 5, 4, 5, 3, 5, 6, 3, 5, 6, 6, 2, 5, 5, 4, 3, 6, 5, 3, 5, 5, 7, 6, 4, 3, 4, 5, 5, 3, 3, 7, 5, 4, 1, 5, 4, 5, 5, 6, 5, 7, 8, 5, 5, 6, 4, 2, 4, 5, 5, 4, 2, 5, 5, 3, 6, 5, 6, 4, 5, 4, 5, 6, 5, 7, 5, 4, 8, 3, 7, 3, 4, 4, 5, 5, 4, 3, 4, 6, 4, 6, 5, 6, 2, 4, 3, 3, 4, 4, 3, 2, 7, 4, 3, 6, 6, 4, 5, 5, 4, 5, 3, 6, 6, 1, 4, 7, 5, 8, 4, 4, 6, 4, 5, 4, 6, 6, 4, 3, 5, 5, 4, 4, 5, 3, 4, 5, 7, 4, 5, 3, 3, 2, 5, 4, 5, 5, 6, 5, 5, 6, 5, 5, 4, 7, 6, 4, 4, 5, 4, 5, 3, 4, 4, 6, 4, 4, 2, 4, 6, 5, 5, 2, 6, 3, 4, 4, 4, 7, 4, 6, 2, 5, 1, 3, 4, 5, 4, 6, 5, 4, 4, 6, 5, 4, 4, 4, 6, 5, 4, 3, 4, 6, 4, 7, 6, 5, 3, 3, 7, 3, 5, 6, 4, 3, 4, 5, 4, 6, 1, 4, 4, 3, 4, 7, 3, 4, 7, 4, 7, 4, 5, 5, 4, 6, 6, 4, 2, 4, 5, 7, 4, 2, 4, 5, 2, 2, 5, 1, 6, 3, 8, 7, 4, 4, 6, 4, 5, 5, 4, 3, 4, 3, 5, 5, 5, 5, 6, 5, 7, 1, 7, 2, 3, 3, 5, 5, 4, 4, 4, 5, 4, 6, 7, 4, 4, 3, 5, 2, 2, 3, 5, 4, 3, 4, 2, 4, 1, 4, 4, 1 7, 4, 5, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 4, 4, 3, 4, 6, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 2, 3, 5, 2, 3, 6, 4, 3, 6, 6, 6, 5, 2, 4, 5, 3, 3, 3, 4, 1, 3, 4, 3, 5, 6, 3, 3, 5, 2, 4, 3, 5, 2, 5, 4, 2, 2, 5, 4, 3, 8, 3, 6, 4, 4, 4, 6, 3, 2, 4, 3, 5, 4, 2, 3, 4, 6, 4, 4, 4, 4, 4, 7, 2, 4, 2, 4, 5, 5, 8, 2, 2, 4, 3, 4, 3, 4, 7, 6, 7, 4, 4, 4, 7, 6, 3, 4, 4, 4, 5, 3, 5, 6, 7, 7, 2, 3, 5, 5, 4, 3, 5, 5, 5, 3, 6, 3, 6, 3, 5, 4, 2, 2, 4, 4, 5, 5, 6, 5, 9, 5, 3, 6, 6, 3, 4, 5, 6, 2, 4, 5, 7, 3, 4, 3, 6, 4, 2, 4, 4, 5, 3, 4, 7, 4, 5, 3, 5, 4, 6, 3, 2, 2, 2, 4, 4, 3, 5, 8, 3, 7, 4, 2, 5, 4, 7, 5, 3, 6, 4, 4, 5, 4, 2, 5, 5, 6, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 6, 4, 4, 3, 5, 6, 4, 7, 8, 7, 4, 3, 7, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 6, 3, 5, 2, 5, 4, 3, 3, 3, 4, 2, 4, 3, 4, 5, 3, 4, 3, 5, 3, 5, 5, 7, 6, 3, 3, 4, 4, 7, 5, 4, 6, 7, 4, 5, 5, 7, 1, 2, 6, 8, 4, 6, 5, 1, 5, 7, 5, 5, 4, 6, 5, 4, 4, 4, 5, 5, 5, 2, 4, 7, 6, 3, 4, 5, 6, 4, 4, 4, 5, 4, 4, 5, 5, 3, 6, 1, 8, 4, 4, 3, 6, 6, 4, 3, 5, 3, 3, 4, 7, 4, 5, 2, 3, 6, 4, 5, 5, 6, 4, 4, 4, 4, 5, 7, 3, 5, 3, 5, 5, 5, 4, 3, 4, 4, 8, 3, 6, 6, 4, 5, 5, 4, 4, 5, 0, 4, 3, 5, 3, 3, 4, 2, 8, 1, 5, 5, 2, 4, 5, 4, 2, 5, 5, 4, 4, 5, 5, 6, 8, 2, 7, 6, 6, 5, 4, 6, 5, 5, 4, 3, 5, 7, 6, 4, 8, 4, 4, 6, 3, 3, 4, 3, 5, 4, 3, 3, 4, 3, 7, 5, 4, 5, 5, 5, 5, 7, 6, 3, 2, 6, 4, 2, 4, 3, 3, 4, 1, 7, 2, 4, 4, 3, 6, 4, 5, 4, 3, 5, 5, 4, 2, 3, 1, 5, 5, 4, 5, 5, 6, 3, 3, 5, 3, 5, 5, 7, 4, 7, 4, 2, 4, 6, 5, 7, 6, 5, 5, 7, 7, 6, 3, 3, 5, 3, 5, 7, 8, 6, 4, 3, 6, 7, 5, 5, 3, 1 5, 4, 2, 3, 7, 4, 4, 5, 4, 3, 4, 4, 5, 3, 7, 6, 5, 2, 4, 3, 5, 5, 2, 6, 4, 7, 4, 2, 3, 3, 4, 6, 4, 5, 5, 5, 2, 6, 3, 7, 3, 2, 5, 2, 6, 5, 3, 5, 6, 3, 6, 4, 3, 3, 3, 6, 5, 4, 3, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 6, 3, 4, 6, 4, 4, 7, 5, 4, 4, 5, 2, 6, 4, 5, 5, 4, 5, 5, 6, 4, 4, 2, 4, 3, 5, 7, 4, 7, 3, 3, 6, 5, 6, 3, 4, 6, 6, 4, 8, 4, 6, 1, 5, 5, 5, 3, 6, 2, 5, 5, 4, 6, 5, 3, 5, 2, 2, 5, 6, 5, 2, 4, 5, 5, 4, 5, 1, 4, 4, 5, 2, 4, 4, 2, 5, 7, 5, 3, 5, 4, 4, 3, 5, 7, 2, 3, 5, 5, 4, 5, 3, 2, 5, 2, 3, 6, 4, 5, 3, 3, 6, 4, 4, 3, 5, 6, 4, 4, 5, 3, 4, 4, 3, 2, 6, 5, 4, 4, 4, 5, 6, 4, 3, 6, 5, 4, 5, 3, 4, 4, 6, 7, 3, 9, 6, 4, 3, 5, 4, 5, 2, 6, 4, 5, 5, 4, 3, 5, 4, 5, 4, 6, 3, 5, 2, 3, 4, 7, 8, 5, 7, 3, 3, 5, 4, 4, 4, 3, 4, 4, 3, 6, 4, 3, 3, 4, 4, 4, 3, 5, 5, 6, 5, 6, 3, 3, 5, 4, 4, 4, 5, 4, 5, 3, 5, 6, 4, 5, 6, 3, 4, 6, 5, 3, 2, 4, 4, 5, 6, 4, 4, 6, 4, 3, 4, 5, 6, 4, 5, 5, 8, 3, 4, 5, 6, 6, 5, 2, 5, 4, 5, 6, 6, 3, 5, 2, 2, 6, 3, 6, 2, 3, 3, 4, 4, 6, 5, 2, 3, 4, 5, 2, 7, 4, 6, 6, 6, 6, 4, 3, 7, 7, 4, 6, 5, 4, 3, 3, 2, 5, 4, 3, 3, 2, 5, 5, 4, 5, 5, 4, 5, 4, 5, 6, 6, 5, 3, 3, 6, 5, 3, 5, 6, 2, 6, 1, 5, 2, 2, 4, 4, 2, 9, 8, 4, 6, 3, 4, 6, 4, 4, 3, 3, 6, 5, 7, 5, 4, 3, 4, 4, 8, 2, 3, 3, 6, 4, 5, 5, 5, 5, 3, 6, 2, 5, 3, 9, 3, 3, 4, 3, 5, 4, 6, 1, 3, 8, 4, 5, 4, 5, 5, 6, 4, 4, 1, 3, 3, 5, 4, 5, 4, 5, 7, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 2, 6, 4, 3, 5, 4, 4, 2, 3, 7, 3, 3, 4, 6, 4, 3, 4, 6, 6, 3, 5, 3, 3, 5, 2, 5, 4, 3, 4, 5, 5, 6, 5, 7, 7, 4, 4, 3, 5, 6, 5, 3, 5, 4, 4, 5, 4, 4, 3, 6, 4, 2, 6, 5, 5, 6, 1 4, 6, 4, 3, 3, 4, 6, 5, 3, 3, 4, 3, 2, 5, 6, 6, 4, 9, 2, 5, 5, 7, 3, 7, 6, 3, 5, 7, 6, 3, 3, 2, 4, 5, 5, 6, 4, 4, 5, 4, 6, 3, 5, 5, 6, 3, 5, 6, 3, 4, 5, 3, 5, 3, 6, 5, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 2, 4, 6, 2, 6, 4, 5, 1, 4, 3, 5, 6, 5, 2, 5, 3, 3, 2, 4, 6, 5, 5, 3, 4, 6, 6, 4, 5, 3, 2, 5, 6, 7, 2, 2, 4, 5, 2, 5, 6, 5, 5, 1, 5, 3, 5, 7, 2, 2, 6, 6, 6, 3, 3, 7, 4, 4, 4, 6, 4, 6, 6, 6, 3, 6, 2, 5, 4, 5, 5, 6, 6, 4, 4, 6, 6, 5, 3, 5, 4, 7, 5, 3, 4, 7, 4, 6, 4, 3, 3, 6, 5, 4, 4, 2, 6, 4, 5, 6, 2, 3, 6, 5, 5, 3, 5, 4, 3, 6, 6, 5, 7, 4, 3, 5, 0, 7, 6, 2, 5, 6, 6, 4, 4, 3, 2, 4, 5, 5, 4, 5, 6, 4, 7, 3, 6, 6, 5, 4, 4, 4, 2, 5, 4, 3, 5, 1, 4, 6, 3, 4, 4, 4, 8, 5, 5, 8, 4, 3, 6, 5, 6, 4, 5, 3, 5, 4, 3, 3, 5, 6, 5, 5, 3, 2, 2, 5, 6, 5, 4, 2, 4, 3, 5, 2, 3, 5, 4, 3, 6, 3, 4, 3, 5, 9, 4, 4, 3, 2, 4, 6, 3, 4, 5, 5, 6, 3, 5, 3, 7, 6, 8, 3, 2, 6, 4, 4, 3, 5, 5, 5, 4, 4, 1, 5, 3, 3, 4, 5, 7, 3, 7, 2, 3, 3, 7, 4, 3, 7, 7, 7, 6, 5, 6, 5, 5, 5, 2, 4, 3, 6, 6, 5, 7, 4, 2, 6, 4, 4, 5, 6, 5, 5, 4, 6, 4, 3, 3, 5, 5, 2, 4, 3, 4, 6, 5, 4, 6, 2, 5, 6, 3, 6, 5, 1, 5, 7, 5, 6, 3, 6, 6, 3, 4, 4, 4, 3, 4, 5, 6, 3, 5, 4, 4, 4, 4, 5, 4, 7, 4, 3, 3, 5, 2, 3, 4, 6, 1, 3, 6, 3, 3, 4, 6, 2, 4, 5, 4, 7, 5, 6, 7, 4, 3, 6, 4, 7, 3, 7, 5, 5, 6, 6, 5, 2, 6, 5, 6, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 6, 4, 4, 4, 2, 7, 4, 4, 6, 6, 3, 6, 4, 6, 4, 4, 2, 5, 5, 3, 2, 5, 6, 4, 6, 3, 6, 4, 8, 5, 3, 4, 5, 6, 1, 2, 6, 5, 3, 4, 5, 7, 5, 4, 5, 3, 3, 5, 3, 6, 2, 3, 5, 4, 4, 4, 4, 8, 4, 3, 4, 4, 5, 4, 2, 3, 4, 5, 7, 4, 4, 4, 5, 3, 5, -1 4, 4, 4, 4, 2, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 2, 5, 4, 4, 5, 4, 3, 5, 3, 4, 1, 2, 4, 7, 6, 5, 4, 2, 6, 4, 5, 4, 3, 4, 4, 4, 3, 4, 5, 3, 1, 5, 6, 3, 7, 3, 4, 4, 3, 6, 6, 4, 6, 6, 5, 6, 3, 6, 2, 7, 5, 5, 3, 4, 3, 3, 6, 5, 6, 4, 6, 4, 4, 5, 6, 2, 2, 4, 5, 5, 4, 2, 5, 4, 3, 7, 2, 3, 5, 3, 3, 4, 5, 3, 3, 2, 3, 5, 5, 4, 3, 6, 5, 4, 4, 4, 3, 6, 6, 6, 4, 5, 4, 5, 3, 6, 4, 5, 5, 3, 5, 5, 5, 4, 4, 3, 2, 5, 5, 4, 5, 3, 6, 3, 6, 0, 4, 2, 3, 3, 4, 4, 2, 4, 2, 4, 4, 4, 7, 3, 3, 2, 7, 5, 3, 6, 4, 4, 4, 5, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4, 7, 4, 4, 4, 7, 5, 6, 5, 6, 6, 3, 3, 6, 5, 3, 5, 5, 6, 3, 9, 3, 4, 4, 5, 0, 6, 3, 5, 3, 3, 6, 3, 3, 5, 3, 5, 4, 4, 1, 4, 8, 4, 4, 5, 6, 4, 5, 6, 5, 4, 3, 3, 5, 5, 2, 5, 3, 4, 4, 5, 2, 3, 4, 5, 3, 5, 4, 3, 7, 2, 6, 5, 4, 5, 3, 3, 5, 5, 3, 6, 6, 6, 6, 5, 2, 4, 3, 2, 5, 4, 5, 5, 3, 5, 4, 7, 3, 1, 5, 4, 7, 5, 4, 1, 5, 3, 4, 6, 2, 4, 4, 4, 5, 4, 3, 4, 3, 7, 6, 5, 6, 4, 3, 6, 4, 3, 6, 4, 7, 4, 4, 3, 4, 5, 5, 4, 6, 7, 6, 5, 6, 2, 2, 4, 3, 6, 4, 5, 4, 5, 6, 4, 5, 5, 6, 7, 3, 4, 5, 3, 5, 5, 4, 6, 4, 4, 3, 5, 4, 6, 2, 5, 5, 6, 2, 3, 4, 6, 6, 7, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 3, 4, 6, 5, 3, 3, 3, 3, 3, 5, 4, 4, 6, 5, 3, 3, 4, 7, 2, 5, 5, 5, 4, 5, 5, 5, 6, 5, 4, 6, 4, 9, 4, 5, 0, 5, 4, 4, 5, 4, 4, 3, 6, 8, 3, 6, 6, 4, 6, 2, 3, 2, 4, 6, 4, 3, 3, 8, 2, 5, 4, 6, 7, 5, 4, 6, 6, 7, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 8, 6, 6, 7, 5, 5, 7, 2, 3, 4, 4, 4, 3, 5, 6, 2, 5, 6, 5, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 3, 6, 2, 2, 6, 3, 6, 2, 3, 5, 5, 4, 4, 6, 5, 5, 6, 5, 5, 5, 3, -1 3, 5, 4, 6, 1, 5, 7, 3, 3, 5, 5, 0, 7, 5, 5, 5, 2, 7, 4, 4, 5, 4, 6, 1, 5, 4, 5, 3, 5, 5, 4, 5, 2, 5, 4, 4, 4, 5, 5, 6, 6, 1, 3, 4, 3, 4, 5, 3, 4, 5, 5, 3, 3, 4, 5, 7, 3, 4, 3, 2, 3, 4, 7, 4, 6, 8, 4, 6, 5, 7, 3, 5, 4, 5, 6, 4, 4, 3, 4, 6, 2, 2, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 3, 5, 2, 6, 5, 5, 4, 5, 4, 4, 5, 5, 3, 7, 3, 3, 2, 3, 7, 4, 4, 6, 4, 4, 4, 5, 4, 4, 4, 8, 3, 7, 6, 7, 5, 6, 2, 5, 4, 6, 6, 4, 2, 2, 7, 4, 6, 5, 7, 6, 5, 5, 2, 3, 5, 6, 6, 5, 4, 6, 5, 7, 4, 5, 6, 6, 4, 6, 7, 4, 5, 4, 6, 5, 6, 4, 5, 6, 5, 6, 5, 5, 4, 2, 4, 3, 5, 4, 4, 5, 4, 5, 6, 4, 4, 5, 5, 3, 4, 2, 5, 3, 3, 3, 3, 4, 3, 3, 5, 6, 6, 5, 6, 3, 5, 1, 4, 6, 2, 5, 7, 5, 3, 6, 5, 4, 3, 7, 4, 1, 4, 6, 3, 5, 6, 4, 3, 4, 3, 4, 6, 7, 3, 4, 8, 6, 5, 2, 5, 5, 4, 6, 3, 4, 5, 5, 5, 6, 7, 6, 6, 4, 4, 5, 8, 4, 4, 6, 4, 3, 4, 3, 6, 3, 5, 4, 4, 6, 8, 2, 6, 5, 4, 4, 4, 4, 3, 6, 5, 5, 3, 4, 6, 3, 4, 1, 3, 3, 5, 4, 6, 8, 5, 5, 8, 5, 5, 6, 5, 4, 5, 8, 3, 4, 4, 4, 3, 4, 5, 5, 3, 5, 6, 4, 5, 3, 3, 4, 4, 5, 3, 2, 5, 4, 4, 5, 4, 4, 4, 3, 3, 2, 6, 2, 4, 3, 4, 3, 7, 4, 5, 5, 5, 6, 4, 4, 6, 5, 3, 4, 4, 5, 4, 3, 4, 7, 6, 2, 5, 2, 5, 5, 6, 3, 5, 0, 5, 5, 5, 5, 6, 3, 7, 4, 3, 7, 4, 6, 3, 6, 4, 8, 6, 4, 4, 5, 5, 2, 3, 2, 4, 3, 5, 4, 2, 4, 3, 4, 5, 6, 3, 3, 6, 9, 4, 4, 3, 5, 5, 6, 4, 3, 4, 6, 4, 6, 5, 4, 6, 7, 6, 5, 6, 4, 6, 6, 5, 4, 6, 6, 7, 5, 6, 8, 5, 6, 4, 2, 5, 3, 2, 3, 5, 2, 5, 5, 4, 5, 5, 8, 2, 3, 3, 5, 5, 6, 6, 3, 5, 5, 6, 5, 5, 6, 3, 4, 3, 6, 5, 4, 3, 1, 6, 5, 5, 3, 4, 5, 5, 5, 6, 4, 2, 6, 6, 8, 5, 4, 4, 7, 3, 5, 7, 3, 5, 5, -1 4, 7, 6, 6, 3, 3, 6, 5, 4, 5, 6, 3, 2, 6, 4, 5, 2, 4, 4, 6, 7, 5, 4, 2, 4, 4, 3, 5, 6, 5, 5, 6, 6, 6, 6, 3, 3, 5, 5, 3, 3, 4, 2, 6, 3, 2, 3, 2, 6, 6, 8, 7, 4, 3, 3, 5, 4, 4, 3, 3, 7, 5, 3, 4, 5, 4, 5, 6, 6, 6, 4, 3, 2, 4, 3, 5, 6, 2, 5, 4, 1, 4, 1, 5, 5, 3, 6, 4, 5, 6, 4, 5, 5, 5, 6, 4, 4, 4, 6, 6, 5, 4, 4, 6, 5, 5, 6, 5, 5, 4, 5, 7, 4, 6, 7, 5, 3, 6, 7, 4, 4, 4, 2, 2, 7, 7, 3, 6, 5, 6, 4, 3, 4, 4, 7, 5, 6, 5, 5, 6, 4, 5, 4, 4, 5, 4, 3, 3, 4, 6, 3, 4, 6, 4, 5, 2, 7, 3, 5, 3, 5, 4, 6, 7, 3, 6, 7, 5, 7, 3, 5, 3, 6, 6, 7, 4, 3, 5, 4, 4, 3, 3, 2, 5, 4, 4, 7, 4, 4, 6, 7, 5, 7, 6, 4, 5, 4, 4, 8, 0, 7, 7, 4, 6, 4, 5, 3, 3, 3, 6, 5, 3, 2, 7, 3, 4, 4, 3, 5, 5, 4, 4, 6, 5, 3, 5, 4, 3, 6, 5, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 7, 5, 4, 5, 4, 5, 4, 4, 4, 5, 2, 8, 5, 5, 5, 3, 5, 6, 4, 7, 4, 3, 6, 4, 4, 5, 3, 4, 5, 4, 3, 3, 6, 3, 6, 5, 4, 5, 4, 5, 4, 4, 7, 3, 6, 5, 3, 2, 4, 5, 7, 4, 2, 3, 5, 2, 5, 3, 7, 7, 5, 6, 3, 4, 4, 4, 6, 2, 2, 4, 2, 4, 8, 4, 5, 6, 3, 5, 6, 4, 6, 5, 4, 4, 2, 4, 5, 4, 3, 6, 1, 6, 4, 3, 2, 4, 5, 3, 4, 5, 7, 3, 7, 6, 5, 5, 4, 6, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 7, 5, 4, 7, 6, 4, 4, 5, 4, 5, 7, 4, 3, 2, 6, 5, 5, 5, 4, 6, 3, 6, 5, 6, 2, 5, 1, 7, 5, 5, 6, 5, 7, 4, 5, 3, 5, 4, 7, 5, 4, 5, 2, 4, 5, 3, 4, 6, 6, 5, 6, 4, 3, 5, 5, 2, 4, 4, 6, 5, 5, 6, 3, 3, 2, 5, 4, 5, 5, 4, 5, 5, 4, 6, 4, 5, 4, 5, 3, 5, 7, 5, 5, 3, 5, 0, 6, 4, 4, 5, 4, 4, 5, 5, 3, 4, 6, 6, 2, 7, 4, 7, 4, 2, 4, 5, 4, 3, 4, 6, 4, 0, 4, 2, 7, 6, 5, 9, 4, 3, 6, 6, 3, 5, 2, 6, 3, 5, 4, 5, 4, 6, 4, 7, 2, 3, 4, 5, 4, 4, 6, 1 5, 6, 3, 4, 4, 4, 5, 6, 5, 3, 4, 7, 5, 4, 6, 4, 6, 6, 4, 4, 6, 5, 6, 5, 4, 6, 6, 4, 7, 3, 6, 2, 4, 4, 7, 5, 3, 3, 5, 4, 4, 1, 2, 4, 4, 7, 6, 3, 5, 5, 6, 6, 5, 0, 4, 4, 4, 4, 6, 4, 6, 5, 3, 4, 3, 5, 5, 5, 7, 5, 7, 5, 3, 5, 6, 7, 3, 5, 3, 6, 3, 3, 4, 4, 5, 4, 5, 6, 6, 3, 4, 3, 5, 4, 6, 4, 1, 5, 4, 2, 8, 6, 3, 5, 4, 5, 7, 4, 5, 6, 3, 5, 5, 4, 4, 7, 6, 4, 1, 3, 4, 4, 7, 6, 2, 3, 4, 6, 6, 5, 3, 4, 6, 4, 4, 3, 4, 6, 4, 5, 4, 4, 5, 0, 5, 8, 5, 5, 5, 4, 6, 3, 6, 5, 4, 3, 6, 2, 4, 6, 5, 3, 4, 5, 3, 3, 6, 4, 3, 2, 5, 3, 3, 1, 7, 4, 5, 2, 6, 4, 4, 6, 2, 5, 4, 1, 6, 5, 7, 4, 6, 4, 4, 4, 4, 3, 2, 7, 6, 7, 9, 3, 3, 6, 4, 6, 7, 3, 5, 3, 3, 3, 5, 3, 4, 6, 5, 3, 4, 5, 6, 6, 7, 4, 3, 4, 6, 3, 4, 5, 3, 6, 3, 4, 5, 4, 5, 1, 9, 5, 5, 8, 4, 4, 7, 7, 2, 5, 7, 5, 4, 5, 6, 5, 4, 3, 6, 5, 4, 5, 6, 2, 4, 6, 3, 4, 5, 5, 3, 5, 4, 7, 5, 2, 7, 6, 7, 3, 5, 4, 2, 5, 4, 3, 5, 3, 6, 5, 4, 4, 1, 6, 5, 6, 4, 2, 6, 4, 6, 5, 6, 3, 5, 3, 3, 4, 5, 5, 4, 6, 2, 2, 2, 3, 7, 2, 5, 5, 8, 5, 4, 2, 6, 6, 3, 6, 5, 6, 7, 5, 5, 3, 7, 5, 5, 4, 3, 5, 2, 4, 6, 4, 3, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 3, 5, 4, 2, 5, 6, 4, 5, 7, 6, 4, 5, 4, 4, 3, 6, 4, 4, 2, 3, 5, 3, 5, 2, 4, 4, 2, 5, 2, 5, 5, 6, 8, 6, 6, 6, 5, 5, 5, 1, 4, 3, 8, 6, 5, 4, 4, 4, 5, 7, 7, 5, 4, 5, 6, 3, 7, 8, 2, 5, 4, 5, 5, 3, 4, 4, 3, 4, 4, 5, 4, 5, 3, 5, 4, 6, 5, 4, 5, 6, 5, 5, 4, 3, 9, 4, 2, 7, 5, 0, 5, 4, 4, 5, 6, 4, 8, 4, 6, 4, 3, 5, 6, 3, 3, 4, 1, 5, 4, 6, 6, 5, 6, 6, 5, 6, 4, 4, 6, 1, 4, 5, 8, 3, 5, 3, 7, 4, 7, 7, 6, 5, 3, 4, 5, 4, 5, 4, 2, 4, 2, 1, 4, 5, 5, 5, 5, -1 5, 3, 8, 4, 4, 2, 4, 5, 4, 4, 5, 6, 5, 5, 5, 7, 5, 4, 3, 5, 5, 6, 3, 6, 3, 3, 4, 2, 2, 6, 3, 1, 3, 5, 3, 2, 5, 5, 6, 5, 6, 3, 4, 4, 4, 4, 5, 5, 3, 6, 4, 4, 5, 2, 5, 2, 6, 4, 5, 1, 7, 6, 5, 5, 2, 5, 6, 4, 5, 6, 7, 5, 4, 6, 2, 5, 3, 5, 4, 2, 3, 6, 3, 4, 3, 5, 4, 6, 5, 1, 4, 5, 4, 4, 4, 5, 4, 2, 6, 4, 5, 5, 3, 3, 2, 5, 6, 6, 4, 6, 3, 3, 5, 5, 3, 3, 5, 1, 5, 3, 4, 5, 5, 4, 6, 5, 2, 5, 6, 2, 4, 3, 7, 5, 5, 4, 2, 5, 5, 1, 4, 4, 5, 2, 4, 4, 3, 6, 6, 8, 4, 5, 3, 4, 5, 4, 7, 5, 3, 4, 5, 3, 3, 4, 3, 2, 6, 2, 4, 4, 4, 2, 3, 7, 5, 6, 4, 4, 7, 4, 6, 6, 2, 4, 2, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 4, 1, 6, 4, 6, 3, 3, 3, 6, 3, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 9, 4, 3, 3, 6, 4, 3, 3, 5, 3, 4, 3, 5, 3, 5, 4, 3, 3, 5, 4, 5, 4, 5, 7, 4, 5, 3, 3, 4, 4, 6, 6, 3, 5, 3, 5, 4, 4, 4, 2, 5, 4, 7, 2, 3, 2, 4, 6, 5, 4, 6, 5, 6, 4, 4, 5, 4, 6, 7, 5, 6, 0, 1, 4, 6, 5, 7, 5, 6, 3, 4, 4, 6, 8, 5, 2, 4, 4, 5, 3, 3, 5, 5, 4, 4, 3, 6, 7, 3, 6, 5, 5, 4, 4, 4, 3, 7, 3, 4, 6, 3, 5, 2, 6, 2, 4, 6, 4, 8, 4, 7, 3, 3, 5, 4, 5, 5, 7, 0, 6, 4, 5, 5, 4, 3, 6, 4, 6, 2, 3, 5, 6, 5, 6, 7, 8, 6, 5, 5, 5, 4, 4, 6, 3, 6, 3, 4, 2, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 6, 3, 3, 4, 5, 1, 6, 4, 1, 4, 2, 5, 5, 7, 5, 2, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 7, 5, 8, 7, 5, 5, 2, 4, 4, 4, 4, 4, 3, 5, 1, 5, 5, 6, 3, 4, 5, 4, 5, 1, 5, 6, 7, 4, 6, 4, 4, 4, 5, 3, 4, 4, 6, 5, 6, 7, 2, 3, 7, 3, 5, 5, 4, 2, 5, 5, 6, 2, 4, 5, 4, 5, 2, 5, 3, 5, 5, 4, 5, 5, 3, 3, 5, 3, 6, 4, 3, 7, 5, 5, 4, 6, 3, 4, 6, 4, 6, 6, 4, 3, 5, 4, 4, 4, 7, 5, 6, 4, 6, 1, 8, 4, -1 4, 3, 5, 3, 5, 5, 5, 5, 7, 4, 6, 5, 4, 4, 5, 6, 4, 4, 7, 6, 5, 4, 6, 3, 4, 7, 1, 3, 6, 4, 3, 4, 2, 7, 5, 6, 8, 3, 3, 4, 2, 2, 4, 5, 0, 6, 4, 5, 6, 6, 4, 2, 5, 3, 4, 5, 6, 6, 2, 4, 4, 4, 4, 3, 5, 5, 5, 6, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 6, 3, 4, 2, 6, 6, 4, 4, 6, 4, 4, 4, 5, 5, 3, 3, 5, 4, 6, 3, 4, 5, 4, 4, 3, 4, 6, 5, 5, 7, 4, 6, 3, 4, 4, 6, 2, 3, 3, 5, 3, 3, 5, 5, 3, 2, 5, 5, 7, 6, 4, 4, 5, 3, 7, 2, 3, 4, 3, 6, 3, 3, 6, 4, 4, 4, 5, 3, 3, 7, 7, 6, 4, 3, 6, 5, 5, 3, 3, 5, 6, 9, 5, 4, 6, 4, 3, 7, 7, 6, 3, 3, 5, 5, 4, 6, 4, 4, 5, 6, 5, 5, 0, 5, 5, 6, 4, 6, 4, 6, 5, 6, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 6, 3, 5, 5, 3, 6, 2, 5, 4, 5, 4, 6, 4, 4, 4, 5, 5, 5, 7, 7, 3, 6, 3, 4, 5, 4, 4, 4, 3, 3, 2, 5, 4, 3, 5, 6, 4, 5, 4, 5, 3, 6, 2, 4, 7, 2, 4, 2, 3, 5, 3, 1, 4, 5, 4, 4, 5, 4, 4, 4, 6, 8, 3, 7, 4, 6, 6, 3, 5, 4, 4, 6, 4, 3, 2, 4, 5, 5, 7, 5, 5, 5, 3, 4, 5, 6, 4, 2, 4, 5, 4, 3, 2, 4, 4, 6, 3, 3, 5, 2, 3, 4, 5, 3, 6, 6, 5, 9, 7, 5, 6, 4, 6, 4, 5, 5, 4, 6, 5, 6, 4, 7, 2, 4, 3, 5, 5, 4, 2, 2, 4, 5, 6, 6, 5, 5, 3, 4, 3, 5, 8, 6, 7, 5, 3, 4, 5, 8, 5, 4, 6, 4, 4, 6, 2, 3, 6, 5, 3, 6, 6, 6, 5, 5, 2, 5, 5, 1, 5, 6, 5, 5, 6, 6, 4, 5, 3, 6, 5, 5, 3, 4, 6, 0, 5, 5, 2, 8, 6, 4, 4, 3, 6, 4, 6, 4, 4, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 0, 4, 5, 2, 6, 5, 4, 5, 5, 2, 2, 3, 4, 5, 6, 4, 5, 2, 5, 5, 5, 4, 7, 8, 5, 6, 7, 3, 6, 3, 4, 5, 3, 4, 4, 3, 3, 5, 2, 5, 7, 5, 8, 6, 6, 7, 4, 4, 4, 5, 5, 3, 4, 4, 3, 7, 4, 6, 7, 3, 5, 6, 4, 1, 4, 4, 4, 2, 3, 5, 5, 3, 7, 9, 4, 3, 6, 5, 6, 4, 5, 4, 4, 7, 5, 6, 5, 5, 4, 5, 5, 2, -1 4, 3, 6, 4, 4, 6, 5, 2, 5, 4, 4, 4, 5, 5, 6, 4, 4, 3, 4, 6, 3, 4, 1, 2, 5, 3, 2, 4, 6, 4, 5, 4, 7, 5, 7, 5, 2, 6, 4, 4, 2, 3, 3, 3, 4, 4, 4, 3, 6, 4, 6, 0, 6, 3, 5, 8, 6, 5, 4, 5, 5, 4, 5, 7, 8, 5, 4, 4, 4, 5, 7, 8, 1, 7, 4, 3, 5, 5, 2, 6, 4, 4, 3, 5, 7, 4, 5, 4, 4, 3, 2, 6, 5, 5, 7, 5, 6, 5, 6, 2, 4, 4, 3, 5, 6, 4, 6, 4, 4, 2, 5, 7, 5, 6, 5, 6, 3, 5, 6, 6, 3, 6, 5, 6, 6, 4, 2, 5, 5, 7, 7, 4, 4, 4, 2, 3, 6, 4, 6, 5, 2, 1, 2, 6, 6, 4, 6, 8, 4, 5, 4, 3, 6, 6, 5, 3, 5, 6, 6, 3, 3, 4, 5, 4, 4, 3, 5, 1, 4, 4, 5, 8, 4, 6, 5, 4, 5, 7, 5, 2, 4, 6, 3, 5, 7, 5, 6, 4, 4, 6, 5, 4, 4, 2, 4, 7, 3, 5, 5, 5, 3, 5, 1, 4, 1, 5, 2, 5, 4, 5, 4, 5, 3, 7, 5, 5, 4, 3, 2, 6, 4, 3, 3, 4, 5, 3, 4, 3, 6, 3, 5, 5, 4, 6, 5, 5, 6, 5, 4, 4, 6, 3, 4, 5, 5, 5, 6, 4, 5, 7, 5, 7, 4, 5, 5, 4, 5, 3, 4, 4, 6, 4, 5, 6, 4, 5, 4, 4, 4, 3, 7, 5, 6, 4, 6, 4, 7, 5, 6, 8, 5, 6, 3, 4, 4, 4, 7, 5, 6, 3, 7, 5, 6, 4, 5, 4, 7, 3, 6, 6, 7, 4, 5, 4, 5, 6, 5, 2, 3, 6, 5, 3, 3, 4, 3, 3, 6, 4, 6, 5, 3, 6, 2, 6, 7, 4, 4, 4, 5, 3, 2, 6, 4, 5, 6, 7, 7, 3, 4, 5, 4, 5, 3, 3, 4, 6, 4, 6, 5, 3, 5, 4, 1, 3, 1, 4, 5, 4, 8, 6, 5, 5, 6, 5, 6, 7, 5, 4, 7, 6, 4, 5, 6, 6, 5, 8, 4, 4, 7, 4, 5, 2, 4, 2, 3, 4, 6, 4, 6, 5, 4, 4, 2, 5, 4, 5, 5, 7, 6, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 6, 4, 3, 4, 5, 8, 4, 4, 5, 4, 5, 6, 8, 4, 4, 7, 5, 4, 2, 5, 5, 6, 3, 6, 6, 6, 4, 6, 4, 5, 6, 5, 5, 3, 5, 2, 7, 5, 4, 2, 4, 3, 5, 6, 5, 4, 7, 5, 4, 2, 3, 3, 6, 6, 5, 2, 4, 4, 4, 5, 5, 7, 3, 3, 3, 3, 3, 4, 4, 5, 6, 3, 6, 5, 6, 3, 4, 4, 6, 6, 6, 6, 5, 5, 5, 3, 4, 5, 5, 5, 4, -1 5, 4, 6, 5, 4, 3, 5, 6, 5, 4, 8, 3, 5, 5, 5, 5, 6, 1, 2, 6, 5, 1, 3, 5, 4, 5, 2, 3, 4, 7, 6, 6, 4, 4, 1, 3, 3, 5, 6, 3, 3, 2, 4, 2, 2, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 2, 3, 3, 7, 3, 3, 5, 4, 6, 3, 5, 4, 6, 1, 5, 3, 3, 5, 6, 4, 6, 0, 3, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 6, 2, 3, 7, 3, 3, 5, 6, 2, 6, 6, 6, 5, 2, 4, 6, 3, 5, 4, 3, 6, 6, 5, 4, 5, 5, 4, 6, 6, 4, 4, 4, 2, 5, 5, 2, 6, 5, 5, 6, 4, 6, 4, 6, 6, 3, 3, 2, 5, 2, 5, 3, 6, 4, 4, 3, 6, 4, 6, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 6, 4, 2, 6, 5, 5, 5, 2, 5, 5, 3, 5, 4, 5, 6, 4, 5, 3, 5, 3, 3, 2, 6, 5, 5, 7, 5, 5, 3, 3, 3, 3, 5, 4, 5, 2, 5, 3, 4, 2, 6, 3, 6, 6, 4, 5, 1, 6, 4, 6, 4, 4, 5, 6, 5, 2, 3, 5, 3, 3, 7, 3, 5, 4, 3, 3, 4, 8, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 3, 5, 7, 4, 3, 7, 6, 4, 8, 4, 3, 5, 5, 5, 2, 2, 3, 3, 4, 5, 4, 2, 4, 4, 2, 3, 5, 6, 4, 1, 4, 6, 1, 7, 5, 2, 5, 4, 6, 5, 5, 3, 3, 4, 4, 1, 4, 6, 3, 2, 3, 5, 3, 2, 3, 5, 5, 3, 3, 5, 5, 4, 3, 7, 3, 5, 5, 4, 4, 7, 6, 6, 3, 3, 3, 3, 4, 6, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 2, 6, 4, 7, 4, 6, 4, 5, 3, 6, 4, 4, 4, 5, 4, 3, 7, 4, 3, 5, 3, 4, 5, 4, 8, 4, 3, 4, 3, 5, 2, 3, 4, 2, 4, 4, 4, 5, 2, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 2, 5, 6, 5, 4, 5, 6, 3, 3, 5, 5, 4, 6, 3, 5, 2, 4, 5, 2, 4, 5, 3, 4, 4, 9, 3, 6, 7, 3, 2, 6, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 7, 6, 7, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 6, 2, 5, 3, 5, 5, 5, 1, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 7, 3, 6, 5, 6, 1, 0, 3, 4, 5, 2, 6, 4, 3, 9, 6, 2, 4, 2, 6, 4, 1, 4, 4, 4, 8, 3, 5, 3, 2, 4, 3, 7, 3, 5, 5, 3, 3, 6, 3, 1 3, 3, 3, 5, 2, 5, 5, 3, 4, 2, 5, 4, 6, 4, 4, 3, 7, 6, 4, 7, 4, 5, 5, 6, 4, 5, 4, 3, 4, 4, 5, 7, 3, 5, 7, 5, 0, 3, 1, 5, 5, 7, 4, 3, 4, 5, 5, 3, 4, 6, 6, 4, 4, 5, 2, 2, 3, 2, 3, 4, 6, 2, 3, 7, 6, 3, 5, 3, 3, 3, 4, 7, 4, 4, 3, 5, 5, 7, 4, 5, 6, 5, 3, 5, 4, 5, 3, 4, 6, 5, 4, 6, 6, 5, 5, 4, 3, 5, 7, 5, 3, 6, 2, 5, 2, 5, 4, 3, 6, 5, 5, 2, 4, 5, 5, 3, 6, 4, 5, 6, 4, 2, 5, 4, 8, 5, 7, 9, 5, 6, 3, 4, 4, 4, 4, 4, 7, 7, 9, 3, 4, 5, 3, 2, 8, 3, 4, 4, 4, 5, 4, 2, 5, 6, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 2, 3, 4, 6, 7, 6, 5, 7, 4, 3, 7, 5, 3, 4, 5, 5, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 5, 2, 2, 4, 2, 4, 4, 4, 5, 6, 2, 8, 5, 6, 4, 4, 3, 7, 4, 4, 4, 3, 4, 6, 5, 4, 2, 4, 2, 3, 4, 2, 5, 3, 5, 8, 4, 4, 6, 2, 6, 4, 4, 4, 7, 3, 5, 6, 3, 4, 7, 4, 3, 3, 2, 2, 5, 5, 2, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 6, 9, 3, 6, 2, 6, 8, 6, 3, 4, 3, 3, 5, 4, 0, 3, 3, 4, 6, 4, 5, 4, 6, 7, 3, 4, 5, 7, 3, 2, 7, 5, 2, 4, 5, 5, 5, 3, 4, 1, 5, 2, 6, 6, 6, 3, 4, 4, 6, 5, 5, 6, 4, 6, 4, 4, 2, 4, 5, 5, 4, 6, 7, 4, 6, 3, 2, 2, 4, 5, 5, 6, 5, 5, 4, 5, 3, 5, 5, 3, 4, 6, 8, 5, 5, 6, 4, 3, 6, 3, 3, 2, 4, 3, 5, 4, 3, 3, 5, 4, 4, 6, 5, 5, 5, 5, 3, 3, 2, 5, 6, 5, 3, 6, 3, 6, 3, 5, 2, 4, 5, 4, 4, 5, 4, 3, 2, 7, 4, 7, 5, 5, 4, 5, 4, 2, 7, 4, 4, 6, 3, 3, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 5, 5, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 3, 6, 5, 6, 5, 5, 6, 4, 4, 7, 4, 4, 5, 8, 5, 4, 5, 5, 4, 5, 4, 7, 6, 1, 4, 7, 8, 4, 4, 7, 5, 4, 3, 4, 6, 3, 7, 3, 5, 2, 4, 6, 6, 3, 3, 3, 6, 5, 4, 6, 5, 4, 5, 4, 4, 5, 4, 5, 2, 5, 5, 9, 6, 3, 3, 2, 4, 4, 5, 6, 3, 5, 4, 5, 4, 4, -1 3, 3, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 7, 1, 5, 3, 6, 6, 5, 5, 7, 4, 3, 3, 5, 4, 8, 3, 7, 4, 5, 4, 5, 5, 3, 4, 6, 5, 4, 5, 3, 5, 4, 4, 3, 5, 4, 3, 7, 6, 6, 7, 3, 1, 4, 6, 5, 3, 4, 5, 6, 3, 5, 2, 5, 4, 5, 6, 3, 4, 4, 6, 4, 4, 4, 6, 3, 6, 7, 1, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 1, 7, 4, 6, 3, 5, 6, 4, 5, 1, 5, 3, 3, 2, 6, 6, 5, 6, 3, 3, 3, 5, 7, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 5, 5, 5, 3, 7, 6, 5, 3, 3, 6, 6, 5, 4, 4, 6, 3, 5, 5, 4, 5, 3, 6, 4, 4, 4, 3, 5, 5, 6, 6, 4, 7, 7, 5, 6, 5, 4, 3, 5, 8, 4, 7, 6, 5, 4, 5, 7, 3, 5, 4, 6, 6, 3, 5, 6, 5, 4, 3, 1, 4, 6, 5, 6, 6, 4, 6, 5, 4, 4, 4, 6, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 2, 5, 3, 4, 5, 6, 4, 2, 4, 4, 4, 6, 4, 5, 4, 4, 4, 4, 6, 4, 3, 2, 5, 4, 5, 6, 3, 6, 5, 4, 2, 5, 4, 3, 6, 4, 3, 5, 5, 4, 7, 5, 5, 1, 4, 5, 5, 5, 4, 6, 4, 3, 4, 3, 6, 6, 2, 4, 5, 3, 4, 3, 4, 5, 1, 4, 7, 6, 4, 5, 4, 4, 3, 5, 5, 5, 6, 3, 3, 6, 3, 6, 3, 4, 5, 5, 1, 3, 0, 5, 6, 5, 5, 5, 3, 4, 6, 4, 3, 7, 4, 4, 6, 7, 5, 2, 3, 3, 7, 9, 6, 5, 6, 7, 7, 4, 4, 6, 5, 5, 6, 3, 5, 5, 5, 6, 3, 5, 5, 4, 4, 5, 5, 3, 5, 0, 5, 5, 4, 4, 2, 4, 4, 7, 3, 5, 6, 4, 5, 7, 5, 4, 8, 2, 5, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 7, 6, 6, 5, 6, 4, 4, 6, 4, 3, 5, 5, 4, 5, 3, 5, 5, 6, 5, 3, 4, 6, 6, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 5, 3, 6, 6, 3, 6, 4, 3, 5, 6, 5, 4, 3, 5, 5, 5, 3, 5, 4, 4, 5, 6, 5, 4, 5, 4, 5, 3, 3, 6, 3, 4, 5, 5, 4, 7, 3, 7, 4, 3, 4, 2, 4, 3, 4, 5, 3, 7, 8, 7, 4, 3, 6, 5, 5, 4, 4, 4, 6, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 3, 3, 5, 4, 4, 5, 5, 3, 5, 7, 5, 7, 6, 2, 4, 7, 4, 5, 7, 7, 4, 4, 1, 4, 5, -1 6, 4, 5, 3, 3, 3, 5, 5, 5, 5, 5, 6, 3, 3, 3, 3, 3, 2, 4, 3, 8, 2, 3, 5, 3, 6, 5, 6, 7, 1, 5, 6, 4, 4, 6, 2, 4, 4, 4, 5, 7, 7, 5, 4, 6, 5, 4, 4, 5, 4, 6, 6, 5, 4, 4, 2, 4, 4, 2, 6, 2, 4, 5, 3, 6, 4, 6, 5, 3, 5, 4, 6, 4, 5, 6, 5, 4, 4, 4, 4, 2, 2, 2, 4, 4, 5, 5, 4, 5, 8, 2, 8, 5, 2, 5, 5, 1, 3, 7, 2, 4, 6, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 2, 6, 7, 4, 2, 3, 4, 5, 5, 3, 6, 7, 2, 4, 4, 0, 7, 3, 4, 2, 5, 6, 7, 5, 8, 8, 6, 3, 4, 4, 5, 3, 9, 3, 5, 8, 4, 5, 1, 5, 3, 5, 3, 4, 4, 5, 5, 5, 6, 5, 3, 5, 6, 5, 3, 4, 5, 2, 5, 2, 2, 6, 5, 8, 7, 4, 4, 2, 3, 2, 2, 3, 1, 2, 3, 3, 6, 5, 7, 4, 4, 6, 7, 3, 5, 3, 5, 2, 5, 2, 5, 4, 6, 4, 6, 3, 6, 4, 3, 6, 5, 7, 3, 6, 4, 5, 2, 4, 3, 3, 3, 4, 5, 5, 5, 8, 4, 4, 4, 5, 4, 6, 4, 4, 5, 5, 5, 7, 6, 7, 4, 2, 5, 5, 5, 5, 3, 5, 5, 1, 4, 4, 3, 2, 3, 3, 5, 3, 2, 3, 4, 7, 3, 4, 4, 5, 4, 4, 5, 6, 6, 4, 4, 6, 6, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 5, 5, 5, 3, 5, 2, 4, 4, 3, 7, 5, 6, 2, 5, 3, 6, 5, 6, 6, 5, 4, 3, 7, 4, 7, 4, 4, 6, 5, 5, 4, 3, 5, 3, 2, 2, 4, 6, 4, 2, 5, 4, 2, 5, 9, 4, 4, 3, 4, 3, 4, 5, 6, 4, 2, 4, 3, 5, 5, 3, 4, 6, 3, 3, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 6, 5, 6, 2, 4, 4, 6, 4, 5, 6, 5, 6, 4, 5, 6, 5, 6, 3, 3, 5, 8, 3, 3, 5, 2, 4, 5, 5, 4, 7, 4, 3, 4, 6, 3, 3, 4, 5, 4, 7, 4, 6, 4, 6, 5, 6, 5, 5, 3, 4, 5, 3, 7, 5, 5, 5, 5, 7, 4, 3, 6, 4, 3, 5, 7, 2, 4, 5, 5, 4, 5, 4, 0, 5, 6, 3, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 7, 5, 7, 3, 7, 7, 4, 4, 5, 3, 3, 2, 4, 3, 5, 3, 6, 5, 2, 6, 3, 4, 1 6, 2, 5, 4, 5, 6, 4, 2, 5, 4, 3, 4, 7, 5, 4, 3, 5, 5, 4, 7, 4, 4, 5, 5, 5, 4, 0, 4, 6, 2, 4, 3, 4, 3, 6, 9, 3, 4, 4, 5, 5, 5, 6, 4, 3, 4, 3, 3, 2, 6, 3, 5, 4, 3, 5, 5, 2, 5, 3, 5, 7, 5, 5, 5, 2, 4, 6, 4, 4, 5, 6, 6, 5, 4, 5, 3, 3, 6, 2, 4, 4, 1, 5, 6, 4, 4, 5, 3, 5, 5, 4, 5, 3, 6, 3, 3, 2, 4, 5, 3, 4, 4, 2, 6, 3, 6, 7, 5, 5, 4, 5, 5, 5, 7, 3, 4, 8, 3, 6, 4, 3, 4, 7, 3, 5, 6, 3, 7, 6, 5, 4, 2, 4, 6, 5, 5, 4, 4, 6, 4, 3, 5, 6, 2, 3, 7, 4, 3, 4, 5, 2, 4, 3, 6, 7, 6, 7, 4, 3, 5, 5, 3, 2, 2, 5, 4, 4, 5, 2, 0, 2, 3, 3, 7, 6, 6, 5, 5, 5, 4, 3, 5, 4, 4, 8, 4, 6, 6, 5, 4, 6, 3, 3, 3, 4, 5, 7, 5, 4, 4, 4, 4, 2, 6, 3, 4, 4, 4, 5, 6, 3, 2, 5, 5, 4, 6, 3, 1, 4, 5, 4, 5, 2, 5, 5, 3, 5, 3, 8, 4, 6, 5, 6, 6, 4, 2, 7, 4, 6, 4, 5, 6, 4, 3, 3, 5, 6, 3, 5, 5, 7, 3, 5, 5, 5, 4, 5, 5, 6, 4, 4, 6, 5, 4, 4, 7, 4, 5, 4, 5, 4, 3, 5, 3, 5, 5, 4, 6, 8, 1, 1, 6, 4, 2, 5, 4, 6, 4, 4, 5, 3, 5, 5, 6, 3, 6, 6, 4, 5, 5, 5, 5, 5, 3, 7, 5, 4, 4, 4, 3, 2, 4, 4, 6, 5, 5, 7, 3, 7, 5, 3, 4, 7, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 8, 4, 1, 6, 2, 2, 8, 4, 6, 3, 3, 6, 4, 6, 4, 3, 4, 5, 6, 6, 3, 2, 4, 4, 5, 3, 6, 4, 4, 5, 4, 3, 6, 4, 6, 4, 4, 8, 5, 7, 7, 8, 2, 4, 2, 5, 4, 2, 6, 5, 5, 5, 3, 3, 4, 5, 5, 6, 4, 5, 5, 5, 4, 4, 7, 3, 5, 4, 4, 5, 3, 3, 5, 6, 3, 6, 7, 4, 3, 3, 1, 3, 3, 5, 6, 5, 4, 4, 3, 4, 2, 2, 3, 1, 6, 5, 5, 4, 5, 6, 4, 6, 4, 4, 5, 7, 5, 6, 3, 5, 3, 4, 5, 5, 5, 5, 4, 6, 3, 6, 6, 3, 3, 4, 7, 6, 4, 4, 5, 3, 5, 0, 4, 5, 6, 6, 4, 5, 2, 4, 4, 6, 4, 4, 4, 4, 5, 4, 7, 3, 7, 5, 6, 5, 3, 2, 3, 4, 4, 5, 7, 4, 4, 5, 5, 4, -1 5, 0, 4, 3, 3, 4, 7, 6, 5, 5, 3, 3, 5, 5, 3, 5, 6, 4, 2, 5, 6, 5, 7, 6, 5, 5, 2, 1, 6, 1, 6, 3, 4, 6, 5, 3, 5, 4, 5, 1, 6, 4, 5, 5, 2, 5, 5, 4, 5, 1, 7, 5, 6, 6, 9, 5, 4, 4, 2, 5, 7, 5, 2, 5, 4, 5, 6, 5, 6, 3, 5, 4, 5, 4, 5, 4, 1, 3, 3, 5, 5, 3, 4, 5, 4, 4, 2, 3, 5, 3, 4, 4, 8, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 3, 6, 7, 4, 3, 5, 4, 5, 4, 4, 6, 4, 4, 3, 3, 1, 3, 3, 6, 4, 5, 5, 4, 7, 6, 5, 4, 3, 4, 5, 4, 4, 6, 4, 2, 6, 5, 3, 7, 3, 5, 3, 4, 8, 3, 5, 3, 3, 5, 4, 3, 4, 3, 3, 6, 4, 7, 6, 2, 8, 6, 2, 7, 6, 4, 7, 5, 5, 6, 2, 5, 5, 4, 4, 3, 6, 5, 1, 6, 6, 6, 5, 3, 6, 8, 2, 6, 2, 2, 3, 4, 4, 3, 4, 3, 5, 5, 3, 7, 7, 3, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 2, 5, 5, 4, 6, 6, 4, 5, 6, 6, 3, 6, 5, 6, 6, 6, 7, 3, 5, 2, 6, 6, 4, 4, 3, 7, 6, 6, 2, 3, 6, 5, 2, 4, 4, 6, 4, 2, 7, 4, 3, 4, 4, 6, 5, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 4, 4, 5, 4, 4, 4, 7, 6, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 2, 6, 6, 5, 6, 6, 5, 6, 4, 7, 3, 4, 4, 7, 7, 4, 5, 3, 5, 3, 5, 1, 5, 2, 5, 3, 6, 3, 5, 7, 5, 4, 4, 5, 5, 4, 2, 4, 4, 2, 5, 3, 3, 5, 4, 4, 6, 3, 5, 3, 4, 3, 4, 8, 3, 3, 2, 4, 6, 4, 6, 5, 2, 2, 5, 3, 5, 5, 5, 7, 5, 6, 7, 5, 1, 6, 5, 5, 6, 3, 3, 2, 5, 2, 4, 5, 5, 1, 2, 5, 4, 6, 4, 4, 3, 3, 1, 4, 5, 5, 4, 5, 5, 4, 6, 4, 6, 3, 4, 6, 2, 5, 5, 6, 4, 1, 3, 6, 3, 6, 3, 5, 2, 5, 6, 1, 5, 4, 3, 2, 2, 5, 2, 6, 4, 7, 3, 3, 3, 4, 6, 7, 4, 4, 4, 5, 3, 4, 3, 5, 6, 4, 6, 3, 5, 2, 4, 6, 2, 5, 7, 5, 6, 5, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 5, 2, 4, 5, 4, 5, 4, 6, 3, 5, 3, 5, 4, 4, 5, 2, 7, 3, 6, 3, 5, 3, 4, 7, 4, 4, 5, 4, 6, 4, 4, 2, 9, 2, 5, 6, 1 6, 6, 5, 6, 5, 5, 6, 5, 3, 5, 5, 9, 6, 7, 4, 4, 7, 6, 5, 3, 4, 5, 7, 3, 4, 4, 4, 4, 6, 5, 4, 4, 5, 3, 3, 4, 6, 4, 7, 2, 8, 4, 3, 3, 2, 5, 3, 3, 5, 5, 4, 6, 5, 5, 4, 5, 2, 4, 4, 4, 3, 6, 6, 4, 3, 6, 4, 3, 2, 4, 5, 6, 4, 0, 4, 4, 3, 5, 5, 3, 2, 4, 6, 4, 5, 2, 2, 3, 4, 5, 4, 3, 6, 3, 7, 4, 4, 3, 3, 6, 5, 3, 4, 3, 4, 6, 4, 3, 2, 5, 6, 4, 5, 3, 1, 4, 3, 6, 6, 4, 2, 5, 3, 5, 6, 5, 3, 5, 7, 4, 3, 3, 5, 6, 7, 3, 6, 7, 6, 6, 2, 6, 5, 3, 5, 8, 4, 5, 4, 2, 4, 3, 5, 3, 6, 3, 5, 6, 6, 6, 6, 3, 6, 4, 6, 5, 5, 2, 4, 6, 5, 4, 6, 6, 4, 4, 3, 4, 4, 4, 5, 3, 2, 6, 4, 4, 4, 8, 4, 7, 5, 5, 4, 3, 6, 3, 4, 4, 6, 3, 3, 7, 6, 3, 3, 4, 5, 4, 7, 4, 5, 6, 0, 3, 5, 6, 4, 3, 4, 4, 4, 1, 2, 3, 6, 3, 5, 4, 4, 6, 3, 4, 4, 5, 2, 5, 5, 6, 5, 4, 5, 6, 6, 3, 4, 5, 6, 4, 2, 2, 5, 6, 2, 2, 6, 4, 5, 4, 3, 5, 6, 3, 4, 4, 4, 2, 5, 4, 2, 5, 4, 2, 5, 5, 3, 3, 7, 6, 4, 6, 5, 3, 6, 3, 5, 1, 5, 4, 7, 7, 3, 4, 4, 3, 5, 5, 4, 3, 6, 6, 4, 4, 5, 5, 4, 4, 5, 3, 4, 7, 5, 5, 4, 3, 3, 2, 4, 4, 6, 5, 8, 4, 9, 5, 5, 6, 4, 7, 5, 2, 5, 7, 5, 5, 4, 2, 3, 3, 4, 4, 7, 6, 5, 3, 6, 7, 3, 6, 4, 3, 4, 3, 3, 4, 5, 4, 5, 2, 4, 5, 5, 4, 4, 3, 6, 3, 4, 4, 4, 5, 4, 7, 4, 3, 7, 5, 6, 4, 6, 5, 5, 3, 4, 5, 6, 4, 7, 3, 5, 3, 2, 6, 4, 5, 4, 7, 4, 4, 4, 1, 4, 4, 4, 6, 3, 4, 6, 5, 5, 7, 6, 3, 5, 5, 0, 4, 5, 3, 5, 5, 5, 6, 7, 7, 3, 5, 4, 5, 7, 5, 6, 2, 6, 3, 4, 4, 3, 4, 3, 2, 4, 3, 4, 5, 4, 6, 3, 5, 7, 7, 5, 6, 4, 4, 4, 4, 6, 5, 6, 6, 4, 6, 4, 2, 6, 4, 3, 3, 4, 6, 4, 7, 4, 1, 3, 6, 6, 6, 5, 5, 4, 4, 6, 3, 4, 4, 5, 4, 3, 7, 6, 2, 6, 3, 7, 3, 4, 4, 5, 2, 1 5, 2, 4, 4, 2, 3, 4, 2, 4, 2, 3, 4, 3, 5, 6, 3, 4, 2, 2, 4, 5, 5, 3, 6, 6, 3, 4, 8, 3, 3, 3, 4, 5, 3, 7, 6, 4, 3, 6, 6, 4, 5, 3, 5, 6, 7, 5, 3, 2, 2, 5, 4, 4, 4, 2, 4, 7, 5, 5, 2, 5, 3, 6, 5, 6, 6, 5, 5, 8, 3, 3, 4, 6, 7, 5, 6, 2, 6, 5, 2, 5, 3, 7, 4, 5, 5, 5, 6, 5, 4, 4, 6, 5, 3, 5, 4, 6, 4, 7, 2, 5, 4, 7, 4, 5, 1, 5, 4, 7, 4, 1, 4, 6, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 7, 1, 5, 4, 5, 4, 2, 6, 8, 3, 5, 6, 4, 5, 6, 3, 3, 7, 4, 3, 4, 4, 6, 6, 5, 5, 3, 5, 7, 6, 6, 6, 3, 4, 6, 4, 5, 6, 1, 5, 5, 6, 4, 3, 5, 4, 7, 3, 7, 7, 4, 4, 8, 3, 5, 3, 8, 6, 4, 5, 5, 3, 5, 6, 2, 4, 3, 3, 4, 4, 3, 2, 0, 2, 4, 4, 6, 3, 3, 5, 3, 6, 5, 2, 4, 3, 5, 6, 4, 5, 4, 3, 5, 3, 5, 8, 4, 5, 5, 4, 6, 6, 3, 7, 5, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 6, 4, 5, 8, 6, 2, 4, 6, 3, 5, 4, 3, 7, 5, 3, 2, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 6, 4, 4, 8, 5, 2, 3, 1, 4, 6, 6, 4, 4, 3, 2, 3, 5, 5, 5, 6, 3, 5, 8, 7, 3, 6, 6, 5, 6, 3, 4, 6, 5, 4, 3, 1, 6, 4, 4, 6, 3, 5, 2, 6, 6, 5, 6, 3, 5, 2, 3, 5, 4, 6, 5, 4, 7, 2, 4, 3, 4, 7, 1, 5, 4, 2, 3, 3, 6, 4, 8, 3, 5, 3, 4, 7, 2, 5, 3, 5, 2, 5, 2, 5, 4, 4, 6, 4, 3, 3, 3, 3, 3, 4, 6, 4, 6, 5, 4, 4, 5, 6, 2, 2, 5, 6, 2, 3, 5, 5, 1, 3, 3, 6, 4, 5, 5, 4, 5, 4, 2, 3, 4, 6, 2, 6, 2, 4, 6, 5, 7, 4, 5, 5, 6, 4, 7, 5, 9, 4, 4, 4, 5, 3, 5, 4, 4, 2, 6, 4, 4, 4, 3, 4, 1, 2, 1, 5, 4, 3, 2, 6, 4, 4, 5, 3, 8, 4, 4, 6, 4, 5, 5, 4, 6, 6, 2, 3, 5, 4, 4, 4, 4, 3, 6, 3, 4, 7, 4, 5, 4, 3, 3, 4, 5, 6, 5, 7, 5, 5, 4, 6, 3, 4, 6, 6, 3, 3, 8, 4, 4, 6, 3, 4, 5, 9, 5, 5, 6, 4, 2, 5, 6, 5, 4, 2, 5, 5, 4, 5, 4, 4, 1 4, 5, 5, 2, 5, 5, 3, 6, 3, 3, 4, 2, 6, 4, 6, 4, 4, 2, 7, 4, 6, 4, 5, 4, 3, 3, 4, 5, 0, 0, 5, 2, 4, 6, 5, 5, 7, 6, 6, 4, 4, 1, 4, 4, 4, 5, 0, 5, 7, 4, 4, 2, 5, 2, 6, 5, 5, 3, 4, 3, 7, 3, 5, 0, 4, 3, 5, 4, 4, 6, 6, 4, 2, 3, 4, 4, 3, 4, 8, 2, 4, 3, 3, 2, 3, 8, 6, 3, 4, 4, 7, 7, 5, 4, 6, 4, 2, 6, 4, 3, 2, 4, 2, 5, 4, 5, 8, 5, 3, 3, 4, 3, 6, 5, 2, 2, 4, 4, 6, 3, 3, 4, 3, 6, 6, 6, 5, 5, 6, 4, 3, 4, 6, 5, 5, 3, 4, 6, 5, 4, 3, 4, 7, 2, 7, 4, 7, 8, 3, 3, 2, 5, 6, 5, 4, 4, 3, 4, 5, 4, 8, 5, 4, 2, 4, 6, 8, 1, 4, 3, 4, 7, 6, 4, 7, 5, 2, 5, 5, 3, 3, 5, 5, 5, 6, 5, 4, 3, 5, 3, 5, 4, 3, 3, 5, 7, 4, 3, 4, 3, 9, 3, 4, 5, 1, 2, 4, 4, 3, 4, 4, 4, 3, 4, 7, 6, 3, 7, 2, 5, 6, 5, 4, 5, 4, 5, 5, 4, 6, 4, 5, 2, 4, 6, 5, 4, 5, 6, 4, 6, 4, 6, 4, 5, 3, 5, 6, 5, 2, 6, 2, 4, 6, 4, 5, 2, 4, 6, 3, 4, 7, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 3, 2, 4, 5, 3, 2, 2, 6, 5, 5, 5, 4, 5, 4, 5, 4, 7, 6, 4, 4, 4, 2, 6, 4, 6, 5, 5, 6, 5, 5, 6, 2, 5, 5, 6, 6, 8, 4, 3, 5, 5, 5, 2, 3, 5, 5, 4, 0, 5, 3, 5, 4, 3, 6, 4, 3, 4, 3, 5, 4, 6, 1, 4, 3, 4, 3, 4, 4, 4, 5, 2, 8, 7, 4, 4, 3, 5, 6, 4, 3, 5, 6, 4, 0, 6, 5, 4, 9, 5, 6, 5, 6, 1, 5, 3, 3, 4, 4, 4, 5, 6, 5, 6, 4, 5, 4, 4, 7, 3, 5, 4, 5, 6, 3, 1, 5, 4, 3, 5, 4, 6, 5, 5, 3, 5, 5, 6, 6, 6, 8, 3, 4, 2, 7, 4, 6, 6, 6, 4, 6, 2, 4, 1, 4, 4, 4, 6, 4, 1, 5, 4, 2, 7, 4, 2, 5, 3, 4, 3, 5, 5, 6, 5, 4, 4, 3, 7, 4, 5, 4, 4, 8, 8, 4, 4, 4, 3, 4, 6, 4, 0, 5, 7, 5, 3, 4, 3, 6, 6, 4, 4, 2, 3, 5, 4, 3, 6, 4, 5, 3, 3, 7, 3, 4, 6, 5, 6, 4, 6, 2, 5, 5, 4, 5, 3, 3, 6, 4, 4, 3, 4, 7, 6, 5, 5, 5, 6, 4, 5, -1 6, 4, 4, 5, 4, 3, 4, 5, 5, 7, 1, 3, 6, 7, 3, 4, 2, 3, 5, 3, 6, 4, 5, 5, 3, 3, 4, 3, 2, 5, 5, 5, 3, 4, 4, 7, 4, 4, 4, 3, 1, 2, 5, 4, 3, 4, 4, 6, 3, 4, 5, 4, 6, 5, 4, 4, 5, 3, 3, 5, 4, 6, 3, 4, 1, 5, 6, 5, 7, 8, 3, 7, 2, 5, 5, 6, 4, 2, 3, 5, 2, 4, 3, 4, 6, 6, 4, 4, 6, 3, 4, 6, 6, 5, 4, 7, 6, 3, 5, 1, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 5, 8, 4, 6, 5, 7, 6, 7, 5, 4, 6, 6, 4, 5, 0, 3, 7, 6, 2, 4, 5, 6, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 5, 6, 6, 3, 7, 6, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 6, 6, 5, 6, 7, 8, 6, 4, 6, 4, 5, 6, 3, 4, 5, 5, 5, 6, 7, 4, 6, 3, 1, 1, 6, 4, 5, 7, 6, 4, 5, 3, 7, 3, 4, 6, 1, 3, 5, 4, 4, 5, 6, 2, 4, 4, 4, 1, 2, 7, 6, 7, 2, 4, 3, 4, 5, 6, 3, 7, 4, 3, 5, 5, 2, 4, 5, 4, 6, 4, 4, 8, 3, 4, 5, 4, 5, 8, 4, 5, 8, 5, 4, 2, 6, 3, 4, 2, 5, 5, 5, 6, 2, 6, 3, 5, 6, 2, 4, 1, 6, 4, 5, 1, 7, 4, 7, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 4, 1, 7, 5, 2, 6, 4, 7, 5, 4, 5, 4, 5, 6, 3, 5, 9, 6, 4, 4, 5, 5, 4, 2, 3, 3, 4, 3, 7, 3, 2, 5, 5, 3, 4, 6, 5, 2, 6, 8, 5, 5, 5, 4, 2, 6, 5, 6, 0, 6, 4, 6, 4, 4, 3, 6, 5, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 3, 3, 3, 4, 2, 4, 5, 4, 5, 7, 3, 6, 4, 3, 2, 5, 4, 6, 5, 7, 7, 4, 5, 3, 4, 6, 6, 2, 4, 6, 5, 3, 2, 4, 4, 2, 5, 5, 5, 8, 4, 5, 4, 5, 7, 6, 6, 5, 6, 5, 2, 7, 5, 6, 6, 5, 6, 4, 5, 3, 4, 6, 3, 6, 4, 5, 5, 3, 4, 5, 3, 6, 4, 4, 4, 6, 2, 3, 3, 4, 5, 5, 6, 3, 4, 3, 6, 7, 2, 3, 4, 4, 3, 5, 7, 4, 2, 5, 5, 4, 2, 4, 4, 5, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 6, 3, 4, 7, 3, 4, 6, 5, 4, 6, 3, 4, 3, 3, 3, 3, 3, 6, 5, 5, 5, 4, 4, 4, 5, 4, 3, 7, 5, 6, 3, -1 2, 3, 4, 2, 2, 4, 3, 4, 2, 8, 4, 3, 4, 5, 6, 2, 4, 3, 3, 6, 5, 4, 4, 3, 4, 4, 5, 2, 2, 5, 7, 6, 4, 4, 7, 5, 5, 3, 5, 3, 5, 5, 3, 2, 6, 2, 2, 3, 3, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 2, 5, 6, 2, 5, 5, 4, 4, 5, 2, 7, 3, 2, 6, 7, 7, 0, 4, 4, 3, 3, 6, 4, 5, 6, 4, 4, 4, 2, 5, 5, 5, 6, 3, 1, 4, 3, 5, 4, 6, 4, 5, 5, 3, 6, 2, 7, 4, 4, 5, 5, 6, 4, 3, 3, 1, 7, 4, 4, 3, 6, 5, 6, 4, 6, 4, 4, 4, 8, 4, 6, 3, 3, 4, 3, 5, 5, 3, 1, 5, 4, 2, 3, 4, 8, 5, 5, 6, 4, 6, 5, 2, 5, 5, 6, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 5, 5, 6, 6, 5, 6, 5, 1, 5, 7, 6, 5, 4, 6, 4, 7, 5, 7, 3, 4, 5, 3, 5, 5, 5, 3, 6, 5, 2, 5, 4, 5, 6, 5, 6, 3, 4, 6, 5, 4, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 6, 4, 2, 7, 4, 6, 3, 3, 5, 4, 5, 3, 5, 4, 6, 4, 5, 3, 4, 6, 5, 4, 6, 6, 4, 4, 4, 4, 5, 5, 6, 4, 5, 3, 6, 3, 5, 4, 3, 2, 2, 7, 4, 4, 5, 5, 4, 4, 5, 7, 6, 3, 3, 5, 4, 3, 6, 5, 5, 4, 4, 4, 4, 3, 2, 3, 5, 6, 4, 5, 4, 5, 3, 2, 6, 4, 6, 3, 1, 4, 4, 6, 8, 4, 5, 6, 5, 5, 6, 3, 4, 5, 7, 4, 3, 5, 2, 4, 4, 4, 3, 4, 5, 4, 5, 6, 3, 3, 5, 4, 4, 3, 6, 4, 3, 4, 4, 4, 6, 2, 4, 5, 3, 5, 3, 3, 5, 3, 3, 1, 5, 4, 3, 6, 4, 5, 6, 5, 5, 3, 5, 6, 5, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 7, 6, 2, 3, 7, 6, 4, 3, 6, 4, 3, 9, 4, 4, 7, 5, 4, 4, 6, 3, 7, 7, 5, 5, 6, 4, 4, 5, 5, 3, 6, 4, 6, 3, 9, 4, 4, 4, 6, 4, 4, 3, 5, 9, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 6, 5, 8, 5, 6, 4, 4, 3, 5, 7, 5, 4, 6, 4, 4, 3, 5, 3, 3, 5, 4, 2, 4, 5, 2, 4, 5, 4, 4, 6, 4, 6, 5, 6, 6, 3, 4, 3, 5, 5, 3, 5, 6, 4, 4, 6, 4, 6, 7, 5, 4, 4, 5, 3, 5, 6, 4, 2, 3, 5, 5, 4, 4, 4, 4, 4, 3, 5, 6, 4, 1 2, 4, 3, 4, 2, 6, 6, 6, 4, 5, 5, 4, 4, 4, 5, 1, 1, 5, 5, 6, 4, 4, 5, 4, 4, 6, 4, 5, 3, 5, 4, 2, 4, 7, 5, 3, 4, 5, 4, 6, 3, 4, 7, 4, 5, 5, 5, 7, 6, 3, 5, 5, 5, 3, 3, 7, 5, 4, 4, 3, 3, 2, 4, 3, 4, 3, 6, 7, 4, 5, 3, 3, 3, 4, 5, 6, 2, 5, 5, 4, 3, 4, 5, 5, 4, 6, 4, 4, 5, 3, 4, 6, 3, 4, 6, 5, 4, 3, 1, 8, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 2, 3, 4, 6, 4, 4, 8, 4, 3, 2, 4, 5, 5, 2, 6, 5, 7, 4, 5, 5, 2, 3, 5, 4, 6, 7, 3, 3, 2, 7, 4, 3, 5, 5, 6, 4, 2, 3, 2, 4, 2, 5, 7, 6, 3, 3, 4, 4, 6, 5, 3, 2, 4, 5, 5, 4, 6, 3, 3, 3, 4, 7, 4, 4, 7, 5, 6, 4, 4, 7, 4, 6, 4, 7, 5, 5, 7, 6, 6, 5, 5, 5, 4, 5, 4, 4, 3, 4, 3, 6, 3, 5, 4, 4, 3, 3, 4, 4, 6, 2, 6, 4, 5, 8, 7, 5, 3, 2, 6, 5, 6, 3, 5, 5, 9, 5, 3, 5, 1, 4, 6, 2, 4, 3, 4, 3, 5, 2, 4, 6, 4, 7, 6, 5, 2, 3, 5, 4, 4, 4, 6, 5, 4, 4, 7, 2, 4, 4, 5, 4, 4, 5, 5, 2, 5, 2, 7, 4, 4, 4, 5, 9, 5, 3, 5, 3, 4, 3, 6, 4, 3, 6, 3, 2, 3, 4, 6, 3, 5, 3, 4, 3, 7, 5, 4, 5, 4, 4, 6, 6, 4, 4, 5, 4, 4, 6, 4, 7, 4, 4, 3, 4, 3, 4, 3, 7, 5, 8, 3, 5, 2, 6, 4, 4, 4, 4, 4, 6, 4, 3, 5, 7, 5, 7, 4, 5, 4, 5, 3, 3, 6, 5, 5, 6, 4, 4, 6, 5, 6, 5, 8, 3, 5, 5, 6, 5, 4, 4, 3, 4, 2, 7, 5, 5, 5, 5, 4, 3, 6, 4, 4, 3, 4, 2, 4, 6, 4, 3, 5, 3, 4, 2, 3, 4, 5, 5, 4, 3, 3, 2, 4, 6, 5, 3, 3, 4, 4, 3, 6, 5, 4, 5, 6, 4, 3, 4, 5, 4, 4, 6, 4, 2, 4, 3, 4, 5, 5, 3, 5, 3, 5, 3, 3, 7, 4, 4, 4, 6, 1, 4, 4, 3, 3, 6, 3, 3, 6, 5, 4, 6, 7, 4, 3, 4, 5, 5, 5, 2, 3, 4, 7, 3, 5, 4, 2, 6, 8, 3, 3, 3, 4, 4, 4, 4, 6, 5, 3, 2, 5, 3, 6, 6, 3, 2, 2, 7, 4, 4, 5, 4, 5, 4, 6, 4, 4, 3, 5, 3, 4, 4, 6, 4, 5, 4, 3, 5, 4, 3, 3, 2, 1 3, 5, 3, 5, 4, 4, 6, 5, 4, 3, 5, 5, 6, 4, 4, 6, 5, 8, 7, 5, 4, 4, 4, 6, 4, 6, 4, 5, 6, 5, 4, 3, 4, 4, 4, 6, 1, 6, 4, 4, 4, 4, 4, 4, 6, 3, 5, 3, 3, 4, 5, 3, 6, 1, 4, 6, 4, 5, 3, 4, 4, 5, 3, 8, 3, 5, 6, 5, 4, 4, 6, 4, 5, 6, 4, 4, 4, 5, 4, 7, 3, 3, 4, 5, 6, 6, 3, 5, 4, 5, 4, 6, 5, 4, 7, 7, 4, 4, 6, 4, 5, 4, 5, 4, 5, 6, 7, 5, 4, 5, 3, 4, 3, 2, 2, 3, 5, 5, 6, 2, 4, 4, 4, 3, 5, 2, 6, 4, 7, 4, 3, 3, 5, 5, 8, 5, 3, 6, 4, 4, 6, 6, 2, 3, 4, 7, 6, 6, 5, 4, 7, 2, 5, 5, 6, 5, 4, 5, 4, 5, 4, 4, 6, 4, 5, 3, 4, 6, 6, 5, 3, 6, 5, 4, 4, 6, 4, 4, 4, 5, 1, 4, 2, 3, 4, 2, 7, 3, 5, 5, 5, 4, 3, 4, 4, 2, 3, 5, 3, 4, 6, 6, 5, 6, 3, 3, 5, 8, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 5, 2, 6, 3, 5, 3, 5, 5, 4, 3, 8, 5, 5, 3, 3, 6, 3, 5, 5, 7, 4, 6, 4, 6, 3, 6, 2, 6, 5, 4, 6, 5, 6, 5, 4, 4, 6, 5, 5, 6, 4, 5, 4, 5, 4, 6, 3, 4, 5, 4, 3, 4, 7, 6, 5, 4, 7, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 6, 5, 4, 7, 3, 3, 2, 7, 6, 3, 1, 5, 7, 5, 6, 5, 6, 7, 5, 4, 4, 2, 6, 2, 5, 5, 6, 3, 4, 6, 5, 6, 7, 5, 6, 2, 5, 8, 4, 4, 5, 4, 6, 6, 6, 4, 5, 5, 4, 2, 5, 3, 4, 8, 3, 5, 3, 5, 5, 3, 5, 2, 6, 3, 4, 6, 3, 3, 4, 5, 6, 4, 3, 4, 4, 2, 3, 3, 6, 4, 5, 6, 2, 4, 5, 3, 7, 3, 4, 4, 5, 2, 3, 5, 3, 3, 5, 5, 4, 5, 4, 4, 8, 3, 6, 6, 5, 5, 5, 6, 5, 5, 2, 2, 4, 8, 5, 7, 5, 5, 3, 5, 5, 1, 4, 4, 6, 6, 2, 5, 6, 4, 3, 4, 4, 2, 7, 5, 4, 3, 6, 4, 4, 7, 2, 2, 5, 8, 5, 3, 4, 3, 5, 6, 6, 4, 3, 2, 4, 4, 3, 6, 5, 6, 5, 5, 6, 4, 2, 6, 4, 4, 4, 6, 4, 5, 3, 4, 3, 6, 4, 4, 5, 3, 1, 4, 3, 4, 6, 5, 3, 7, 5, 6, 3, 4, 5, 6, 4, 6, 6, 3, 6, 4, 1, 7, 5, 3, 5, 6, 6, 4, 3, -1 5, 5, 6, 5, 3, 6, 1, 5, 9, 5, 5, 4, 4, 6, 4, 4, 6, 5, 6, 4, 4, 6, 3, 4, 4, 5, 5, 3, 2, 4, 6, 3, 3, 4, 6, 8, 3, 5, 7, 4, 4, 3, 4, 3, 3, 4, 3, 5, 2, 6, 5, 4, 6, 4, 5, 3, 3, 3, 3, 6, 4, 4, 4, 6, 5, 4, 4, 5, 5, 5, 4, 7, 4, 6, 4, 5, 1, 5, 6, 8, 2, 0, 3, 6, 2, 4, 5, 5, 4, 3, 7, 4, 6, 6, 1, 4, 3, 1, 6, 6, 5, 5, 4, 3, 3, 4, 5, 6, 5, 6, 3, 6, 4, 4, 5, 6, 6, 5, 3, 4, 3, 5, 6, 3, 6, 6, 3, 6, 4, 4, 6, 5, 6, 8, 4, 4, 5, 7, 6, 3, 1, 4, 6, 4, 3, 2, 2, 4, 5, 5, 6, 6, 7, 7, 4, 5, 3, 6, 4, 4, 7, 3, 3, 4, 5, 3, 5, 4, 3, 6, 6, 3, 3, 6, 5, 6, 4, 3, 5, 6, 5, 4, 5, 5, 6, 4, 6, 4, 6, 5, 5, 2, 2, 5, 6, 3, 4, 2, 4, 3, 5, 5, 5, 9, 4, 4, 3, 4, 5, 6, 4, 1, 4, 4, 2, 5, 5, 5, 6, 5, 6, 4, 4, 5, 2, 3, 5, 5, 8, 4, 3, 4, 7, 5, 5, 3, 6, 3, 6, 3, 5, 3, 5, 4, 6, 4, 7, 6, 6, 5, 4, 5, 3, 4, 3, 4, 3, 7, 4, 3, 7, 6, 4, 3, 3, 4, 9, 3, 4, 4, 3, 2, 5, 3, 5, 3, 7, 5, 6, 4, 5, 6, 4, 5, 4, 4, 2, 6, 3, 5, 5, 5, 5, 5, 4, 6, 7, 2, 6, 4, 5, 5, 6, 4, 4, 5, 3, 2, 4, 5, 6, 2, 5, 3, 1, 4, 6, 5, 2, 4, 6, 3, 3, 5, 3, 4, 5, 5, 5, 6, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 6, 5, 5, 4, 4, 3, 3, 4, 5, 3, 5, 4, 4, 3, 5, 6, 4, 4, 4, 5, 5, 2, 5, 2, 7, 4, 6, 5, 4, 8, 3, 2, 5, 2, 5, 6, 4, 3, 6, 4, 7, 6, 3, 6, 4, 3, 3, 3, 7, 2, 5, 4, 5, 5, 4, 6, 5, 4, 4, 5, 3, 8, 5, 7, 6, 6, 4, 7, 5, 6, 5, 5, 7, 4, 6, 3, 6, 2, 4, 2, 4, 6, 4, 6, 4, 5, 2, 3, 7, 2, 5, 5, 3, 4, 5, 4, 6, 7, 5, 4, 5, 6, 4, 5, 6, 7, 2, 4, 8, 5, 3, 5, 3, 3, 3, 5, 4, 7, 3, 4, 4, 2, 4, 4, 2, 5, 6, 7, 5, 5, 3, 6, 5, 4, 2, 4, 6, 4, 2, 2, 6, 5, 2, 4, 7, 6, 4, 4, 7, 5, 4, 2, 3, 6, 4, -1 3, 5, 5, 5, 6, 3, 8, 6, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 2, 5, 7, 6, 3, 6, 5, 5, 4, 3, 4, 5, 9, 4, 5, 3, 6, 6, 5, 3, 4, 4, 4, 6, 5, 6, 5, 3, 4, 4, 5, 4, 3, 4, 6, 4, 6, 6, 5, 5, 4, 4, 5, 3, 3, 2, 3, 2, 7, 6, 5, 4, 2, 6, 2, 7, 2, 5, 5, 3, 5, 5, 5, 4, 1, 4, 3, 4, 5, 6, 6, 4, 4, 7, 4, 6, 3, 6, 3, 4, 2, 4, 5, 4, 2, 3, 1, 6, 4, 5, 4, 3, 6, 6, 5, 4, 4, 5, 4, 3, 6, 3, 4, 7, 5, 5, 4, 4, 4, 5, 7, 5, 5, 4, 7, 5, 4, 5, 3, 6, 3, 7, 5, 2, 7, 3, 5, 3, 6, 6, 3, 9, 2, 4, 4, 5, 6, 2, 4, 4, 6, 5, 6, 5, 5, 7, 3, 5, 5, 5, 4, 6, 3, 4, 5, 4, 6, 5, 5, 5, 6, 6, 1, 3, 5, 4, 6, 5, 3, 5, 5, 2, 5, 3, 6, 6, 6, 1, 5, 5, 4, 3, 2, 3, 3, 5, 6, 7, 6, 7, 3, 8, 3, 3, 4, 6, 4, 4, 3, 4, 4, 5, 5, 7, 3, 4, 4, 6, 3, 5, 9, 5, 3, 4, 3, 5, 3, 5, 6, 6, 7, 5, 4, 6, 6, 4, 4, 3, 4, 5, 4, 2, 7, 4, 6, 4, 6, 3, 4, 4, 5, 4, 6, 3, 5, 4, 4, 1, 2, 5, 3, 4, 3, 4, 4, 5, 4, 6, 7, 5, 6, 7, 5, 5, 5, 3, 3, 5, 7, 4, 4, 5, 5, 4, 6, 5, 4, 6, 6, 4, 6, 5, 3, 6, 6, 4, 7, 6, 4, 2, 6, 5, 2, 6, 3, 7, 6, 4, 5, 4, 4, 4, 3, 4, 5, 2, 5, 3, 7, 4, 6, 2, 7, 5, 4, 3, 7, 4, 1, 4, 2, 3, 6, 4, 5, 6, 6, 5, 3, 7, 5, 8, 2, 4, 7, 4, 5, 3, 2, 4, 4, 6, 4, 8, 3, 5, 5, 6, 3, 4, 5, 4, 5, 3, 3, 7, 4, 4, 4, 3, 5, 4, 4, 3, 2, 2, 4, 3, 5, 5, 6, 4, 5, 6, 2, 7, 4, 6, 3, 5, 5, 2, 3, 7, 6, 4, 5, 6, 4, 4, 3, 5, 5, 2, 6, 6, 5, 6, 3, 5, 3, 2, 5, 3, 9, 4, 4, 6, 5, 5, 4, 4, 6, 2, 4, 5, 7, 4, 4, 3, 5, 3, 5, 6, 5, 5, 1, 5, 6, 4, 5, 3, 4, 4, 2, 6, 3, 2, 6, 5, 4, 4, 2, 5, 4, 6, 5, 5, 3, 3, 6, 6, 2, 4, 5, 4, 4, 6, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 1, 6, 2, 5, 5, 4, 5, 7, 3, 4, 7, 1 4, 4, 6, 7, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 7, 5, 5, 6, 3, 3, 5, 6, 3, 3, 2, 3, 4, 3, 4, 6, 6, 5, 4, 5, 4, 7, 2, 6, 8, 4, 4, 5, 5, 6, 3, 5, 4, 6, 0, 4, 5, 5, 3, 3, 5, 3, 5, 5, 7, 5, 6, 2, 0, 4, 7, 2, 5, 7, 5, 4, 5, 6, 6, 3, 6, 2, 4, 6, 5, 5, 5, 5, 2, 5, 6, 6, 5, 3, 3, 4, 2, 5, 2, 4, 4, 6, 7, 1, 4, 7, 2, 1, 5, 5, 2, 2, 6, 6, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 7, 1, 3, 4, 7, 3, 4, 1, 4, 5, 3, 5, 5, 3, 5, 4, 7, 5, 4, 6, 4, 5, 3, 1, 5, 6, 4, 6, 7, 3, 4, 5, 8, 4, 7, 7, 6, 5, 6, 6, 2, 5, 5, 4, 7, 6, 4, 2, 7, 5, 7, 4, 6, 7, 5, 4, 7, 6, 6, 5, 5, 2, 5, 3, 7, 3, 6, 6, 2, 2, 5, 5, 6, 4, 5, 4, 6, 3, 5, 5, 4, 3, 6, 6, 4, 4, 5, 5, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 4, 4, 7, 4, 4, 6, 3, 3, 5, 5, 6, 5, 8, 6, 3, 4, 4, 4, 2, 4, 5, 6, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 5, 7, 7, 3, 4, 5, 5, 5, 4, 3, 7, 4, 5, 4, 3, 4, 4, 1, 6, 4, 4, 3, 3, 6, 4, 3, 6, 6, 7, 1, 5, 4, 2, 7, 4, 4, 5, 5, 9, 5, 4, 4, 7, 5, 2, 3, 5, 3, 4, 2, 4, 8, 4, 6, 5, 4, 6, 8, 1, 4, 3, 4, 6, 4, 3, 5, 5, 6, 5, 5, 4, 4, 8, 4, 2, 2, 4, 5, 6, 3, 8, 2, 7, 3, 2, 4, 4, 5, 7, 4, 4, 3, 3, 8, 3, 6, 2, 4, 2, 2, 6, 4, 4, 3, 5, 3, 1, 4, 5, 4, 6, 6, 6, 4, 4, 2, 5, 5, 6, 3, 7, 2, 5, 2, 3, 3, 5, 5, 5, 2, 1, 4, 5, 7, 5, 4, 2, 7, 4, 2, 5, 5, 5, 0, 4, 3, 2, 6, 3, 2, 5, 4, 3, 6, 5, 6, 7, 3, 5, 6, 2, 5, 4, 4, 5, 4, 4, 3, 7, 4, 3, 3, 6, 7, 5, 7, 3, 5, 3, 3, 3, 4, 3, 3, 3, 7, 5, 6, 5, 5, 6, 5, 4, 4, 5, 4, 2, 7, 3, 5, 7, 5, 2, 4, 3, 6, 4, 6, 3, 4, 2, 4, 4, 5, 4, 5, 6, 5, 7, 4, 4, 4, 3, 5, 5, 3, 3, 2, 5, 5, 5, 2, 3, 1, 7, 4, 7, 4, 5, 3, 4, 3, 4, 3, 5, 6, 3, 6, 3, 3, 6, 5, -1 4, 5, 4, 5, 5, 4, 4, 5, 6, 4, 3, 4, 5, 5, 5, 4, 4, 6, 5, 6, 6, 5, 5, 4, 5, 5, 4, 5, 8, 7, 3, 4, 3, 5, 6, 0, 4, 6, 6, 5, 6, 5, 4, 5, 6, 3, 5, 4, 4, 2, 3, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 5, 4, 4, 2, 3, 4, 5, 5, 7, 7, 4, 4, 3, 4, 3, 4, 4, 4, 4, 7, 2, 3, 6, 7, 6, 4, 5, 5, 5, 4, 4, 5, 5, 6, 3, 5, 6, 6, 2, 3, 7, 5, 4, 2, 6, 5, 6, 5, 4, 3, 5, 3, 2, 4, 5, 0, 2, 4, 4, 7, 4, 5, 3, 5, 4, 4, 6, 7, 6, 4, 6, 5, 3, 4, 4, 4, 6, 5, 4, 3, 6, 5, 3, 5, 4, 4, 5, 4, 7, 5, 3, 5, 2, 5, 6, 4, 3, 5, 1, 4, 6, 7, 5, 5, 5, 4, 4, 3, 6, 6, 4, 4, 6, 5, 5, 6, 6, 6, 4, 5, 2, 4, 5, 4, 4, 6, 5, 6, 4, 5, 5, 7, 5, 5, 4, 3, 4, 4, 4, 8, 2, 7, 4, 3, 4, 5, 3, 5, 6, 2, 3, 3, 6, 5, 6, 5, 4, 5, 5, 5, 7, 7, 5, 3, 3, 5, 1, 6, 4, 5, 5, 5, 3, 3, 3, 5, 4, 6, 7, 5, 6, 5, 6, 4, 5, 6, 5, 5, 6, 6, 6, 5, 4, 5, 6, 4, 2, 6, 4, 6, 4, 3, 5, 5, 7, 6, 4, 5, 5, 4, 5, 6, 3, 2, 3, 4, 4, 4, 5, 6, 2, 3, 4, 4, 5, 7, 4, 5, 3, 5, 5, 5, 4, 6, 1, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 3, 6, 5, 5, 3, 3, 4, 5, 5, 5, 8, 4, 6, 5, 3, 6, 3, 4, 3, 7, 4, 4, 5, 3, 4, 5, 5, 6, 1, 4, 4, 3, 3, 5, 2, 5, 1, 5, 4, 3, 7, 2, 3, 5, 5, 4, 3, 5, 3, 4, 6, 5, 6, 5, 5, 5, 6, 5, 4, 6, 6, 4, 4, 5, 7, 5, 5, 2, 5, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 6, 5, 5, 5, 4, 6, 3, 9, 4, 5, 3, 3, 4, 4, 6, 5, 7, 5, 6, 3, 4, 6, 6, 5, 4, 3, 2, 2, 8, 4, 3, 6, 4, 5, 6, 4, 9, 6, 5, 5, 4, 2, 3, 4, 4, 2, 4, 6, 5, 6, 1, 4, 6, 6, 3, 6, 2, 8, 3, 5, 4, 6, 3, 8, 3, 3, 4, 3, 3, 4, 3, 2, 3, 6, 2, 1, 4, 5, 7, 3, 4, 3, 4, 5, 3, 3, 4, 6, 2, 4, 2, 5, 6, 2, 4, 5, 6, 4, 6, 4, 5, 3, 4, 3, 6, 3, 7, 4, 3, 4, 8, 4, 1 4, 3, 5, 3, 4, 3, 6, 4, 4, 5, 4, 4, 6, 5, 4, 7, 7, 4, 3, 6, 8, 3, 2, 6, 4, 2, 4, 5, 2, 4, 6, 6, 3, 4, 6, 5, 4, 5, 4, 4, 6, 3, 5, 5, 4, 4, 4, 4, 1, 3, 5, 5, 3, 3, 6, 4, 6, 5, 3, 5, 4, 5, 2, 5, 5, 4, 5, 4, 5, 5, 8, 6, 3, 5, 4, 3, 4, 5, 5, 3, 4, 6, 3, 4, 4, 5, 8, 4, 7, 4, 4, 2, 5, 4, 5, 3, 2, 7, 5, 3, 4, 4, 4, 2, 4, 2, 4, 4, 3, 2, 3, 5, 4, 3, 5, 5, 5, 3, 3, 6, 4, 4, 4, 6, 4, 5, 4, 6, 2, 6, 4, 5, 6, 6, 4, 2, 8, 5, 9, 4, 5, 4, 4, 2, 5, 7, 6, 3, 4, 6, 4, 7, 3, 6, 4, 4, 4, 6, 4, 3, 4, 3, 6, 0, 3, 4, 5, 2, 4, 1, 4, 5, 6, 3, 7, 2, 5, 5, 5, 3, 2, 5, 3, 3, 4, 3, 5, 3, 4, 5, 3, 3, 5, 5, 5, 2, 3, 6, 4, 2, 4, 3, 3, 6, 6, 4, 7, 4, 4, 4, 5, 6, 4, 4, 4, 4, 8, 2, 7, 5, 2, 7, 6, 6, 5, 4, 3, 3, 4, 5, 3, 5, 3, 7, 6, 4, 5, 4, 4, 3, 5, 6, 7, 3, 6, 3, 6, 3, 4, 5, 4, 4, 2, 7, 4, 3, 4, 3, 4, 4, 6, 4, 6, 3, 1, 5, 6, 3, 4, 3, 6, 5, 6, 2, 7, 6, 4, 5, 4, 5, 5, 6, 6, 4, 6, 5, 1, 3, 6, 4, 4, 5, 4, 5, 4, 5, 4, 2, 5, 4, 4, 4, 5, 2, 5, 6, 0, 3, 5, 5, 5, 5, 3, 3, 3, 5, 6, 4, 3, 5, 7, 5, 6, 5, 3, 5, 4, 3, 5, 3, 4, 1, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 6, 6, 3, 3, 4, 5, 3, 6, 6, 5, 5, 5, 3, 5, 6, 5, 4, 7, 6, 4, 5, 4, 6, 5, 4, 5, 5, 5, 5, 5, 7, 5, 2, 6, 3, 4, 1, 4, 4, 4, 3, 6, 3, 4, 6, 3, 5, 4, 3, 6, 6, 4, 2, 3, 2, 6, 5, 4, 7, 4, 6, 3, 1, 5, 6, 5, 5, 7, 7, 4, 4, 4, 2, 6, 4, 6, 4, 6, 5, 5, 4, 4, 4, 6, 4, 3, 7, 4, 4, 5, 2, 7, 4, 6, 5, 6, 6, 5, 4, 5, 4, 5, 4, 4, 7, 3, 3, 8, 6, 2, 3, 4, 3, 7, 2, 5, 2, 5, 3, 6, 3, 4, 5, 3, 6, 4, 2, 7, 6, 3, 4, 4, 4, 5, 4, 1, 4, 4, 4, 4, 7, 3, 3, 5, 4, 4, 3, 4, 2, 3, 5, 3, 4, 4, 4, 3, 6, 4, -1 3, 4, 3, 3, 2, 2, 4, 3, 4, 5, 5, 6, 4, 5, 6, 5, 5, 5, 6, 4, 4, 4, 5, 4, 5, 5, 2, 1, 5, 5, 7, 5, 2, 7, 7, 6, 6, 4, 4, 5, 6, 3, 4, 3, 2, 5, 4, 5, 5, 4, 3, 4, 3, 3, 3, 4, 4, 5, 9, 2, 4, 5, 2, 4, 5, 4, 7, 4, 5, 3, 7, 4, 4, 4, 4, 5, 4, 5, 2, 2, 4, 1, 4, 5, 5, 6, 6, 5, 4, 5, 7, 5, 6, 7, 5, 5, 7, 4, 4, 5, 4, 5, 6, 6, 7, 5, 6, 6, 4, 5, 4, 7, 6, 7, 4, 5, 5, 3, 4, 3, 4, 7, 6, 5, 5, 7, 3, 5, 6, 7, 6, 3, 6, 3, 5, 5, 4, 4, 4, 6, 2, 4, 1, 4, 3, 5, 3, 5, 3, 3, 6, 6, 4, 6, 4, 5, 3, 4, 7, 3, 3, 4, 6, 4, 6, 4, 4, 7, 3, 3, 5, 6, 5, 2, 6, 4, 4, 5, 5, 2, 3, 4, 2, 6, 7, 8, 4, 4, 4, 5, 6, 3, 5, 5, 2, 4, 3, 3, 3, 4, 7, 7, 3, 7, 6, 3, 4, 5, 6, 4, 2, 7, 4, 5, 5, 4, 2, 3, 6, 2, 4, 1, 6, 3, 4, 4, 3, 3, 6, 1, 3, 5, 6, 5, 3, 3, 6, 4, 5, 3, 5, 3, 5, 4, 5, 6, 5, 4, 2, 5, 5, 5, 5, 4, 4, 5, 4, 6, 4, 6, 7, 3, 3, 7, 4, 3, 6, 3, 4, 3, 7, 5, 5, 6, 4, 5, 2, 6, 4, 5, 4, 6, 4, 5, 5, 4, 7, 2, 5, 5, 2, 3, 4, 3, 4, 5, 4, 4, 6, 6, 4, 4, 3, 3, 5, 4, 7, 5, 4, 4, 2, 5, 3, 4, 2, 4, 7, 3, 5, 7, 3, 7, 5, 5, 4, 5, 6, 4, 2, 4, 1, 3, 5, 2, 5, 2, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 6, 4, 6, 3, 6, 3, 6, 7, 3, 3, 4, 2, 6, 7, 4, 4, 6, 5, 4, 5, 4, 6, 5, 7, 6, 3, 6, 5, 5, 4, 6, 4, 5, 6, 4, 5, 4, 5, 4, 6, 7, 4, 4, 5, 5, 6, 3, 5, 2, 6, 6, 6, 4, 2, 7, 6, 5, 3, 5, 4, 6, 7, 3, 7, 4, 3, 3, 3, 4, 4, 4, 4, 2, 2, 5, 5, 4, 4, 5, 6, 6, 6, 3, 6, 4, 6, 7, 6, 6, 5, 1, 6, 6, 5, 4, 6, 5, 3, 6, 4, 3, 2, 4, 3, 2, 5, 5, 7, 2, 3, 4, 6, 3, 5, 3, 5, 6, 5, 5, 5, 5, 5, 5, 3, 6, 5, 5, 3, 5, 3, 2, 5, 4, 7, 3, 4, 6, 5, 6, 5, 5, 5, 3, 6, 6, 4, 6, 7, 2, 3, 6, 4, 3, 4, -1 5, 5, 5, 3, 6, 4, 5, 6, 5, 5, 5, 4, 5, 5, 5, 6, 4, 6, 1, 4, 3, 7, 1, 5, 3, 4, 5, 5, 4, 6, 4, 4, 4, 3, 9, 3, 4, 4, 0, 3, 4, 2, 3, 4, 6, 5, 4, 4, 6, 5, 4, 6, 3, 5, 4, 4, 5, 4, 4, 4, 5, 2, 5, 2, 7, 5, 5, 5, 4, 4, 5, 6, 1, 4, 6, 5, 4, 6, 7, 4, 3, 5, 4, 5, 5, 8, 4, 1, 3, 2, 4, 3, 8, 5, 4, 3, 2, 5, 5, 6, 3, 5, 4, 6, 3, 4, 4, 2, 6, 4, 5, 3, 5, 5, 5, 2, 5, 4, 4, 4, 4, 3, 5, 1, 3, 3, 6, 7, 4, 3, 7, 4, 6, 7, 4, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 8, 2, 4, 3, 5, 4, 5, 7, 6, 4, 5, 3, 4, 6, 5, 4, 5, 6, 5, 4, 4, 2, 2, 8, 3, 5, 5, 4, 3, 3, 6, 5, 1, 4, 6, 7, 5, 4, 6, 4, 7, 4, 3, 6, 5, 7, 6, 4, 4, 5, 2, 3, 4, 6, 3, 5, 7, 3, 5, 3, 2, 5, 3, 5, 5, 2, 5, 2, 5, 6, 7, 2, 3, 7, 4, 6, 4, 3, 1, 3, 3, 4, 5, 3, 4, 2, 4, 4, 5, 2, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 7, 7, 7, 2, 5, 4, 2, 5, 6, 7, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 3, 6, 2, 4, 4, 5, 4, 4, 5, 4, 2, 6, 4, 4, 4, 4, 4, 2, 5, 5, 4, 7, 6, 5, 3, 3, 7, 6, 7, 4, 4, 3, 5, 7, 6, 4, 5, 5, 6, 3, 5, 1, 4, 6, 5, 4, 3, 7, 5, 1, 6, 4, 3, 5, 3, 5, 6, 5, 5, 2, 3, 6, 3, 6, 6, 4, 4, 3, 6, 6, 5, 4, 7, 5, 5, 6, 3, 4, 4, 6, 4, 7, 5, 5, 2, 3, 5, 3, 6, 5, 3, 5, 4, 2, 6, 3, 5, 3, 4, 6, 7, 3, 4, 4, 6, 6, 4, 5, 5, 5, 6, 4, 3, 3, 5, 5, 4, 3, 6, 4, 3, 3, 4, 6, 4, 6, 3, 2, 4, 5, 5, 5, 3, 4, 7, 3, 5, 4, 2, 3, 3, 4, 3, 4, 1, 3, 4, 2, 5, 6, 2, 4, 7, 4, 3, 6, 6, 8, 5, 2, 6, 5, 4, 2, 3, 2, 5, 4, 6, 4, 5, 4, 3, 4, 1, 6, 5, 5, 3, 4, 5, 3, 6, 4, 4, 6, 4, 7, 4, 2, 3, 6, 3, 7, 5, 5, 4, 5, 5, 4, 2, 7, 4, 6, 3, 5, 5, 6, 6, 3, 4, 4, 4, 4, 3, 5, 6, 6, 5, 4, 5, 5, 5, 6, 4, 5, 1, 1 4, 4, 4, 6, 4, 3, 6, 3, 3, 6, 6, 3, 7, 5, 6, 4, 2, 3, 2, 3, 6, 4, 3, 5, 5, 7, 3, 4, 6, 3, 3, 5, 4, 7, 7, 6, 5, 3, 3, 4, 6, 3, 4, 4, 5, 4, 5, 2, 6, 4, 6, 4, 4, 5, 5, 4, 4, 6, 3, 3, 6, 9, 2, 4, 2, 4, 5, 4, 6, 6, 8, 2, 3, 5, 4, 5, 7, 4, 7, 6, 4, 6, 5, 5, 3, 6, 4, 4, 5, 4, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 7, 3, 2, 7, 7, 4, 3, 7, 5, 4, 6, 4, 2, 4, 3, 4, 5, 4, 4, 5, 4, 6, 6, 2, 6, 5, 7, 5, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 2, 5, 7, 3, 5, 6, 3, 2, 6, 3, 5, 7, 4, 3, 7, 3, 6, 7, 4, 4, 5, 4, 4, 4, 3, 6, 4, 4, 3, 4, 4, 5, 6, 3, 7, 7, 5, 5, 6, 3, 4, 3, 6, 6, 5, 5, 5, 5, 5, 6, 7, 5, 5, 4, 4, 7, 5, 4, 5, 3, 3, 5, 6, 6, 4, 3, 7, 3, 5, 3, 3, 5, 5, 2, 5, 6, 2, 4, 5, 5, 4, 4, 6, 6, 4, 5, 3, 3, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 5, 2, 4, 7, 5, 5, 5, 3, 4, 4, 4, 4, 6, 7, 4, 2, 5, 4, 2, 5, 5, 4, 4, 4, 3, 3, 8, 6, 5, 3, 7, 5, 4, 6, 5, 3, 7, 9, 4, 3, 6, 6, 4, 3, 5, 5, 3, 4, 5, 4, 6, 4, 6, 3, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 4, 3, 3, 3, 8, 4, 7, 6, 5, 4, 3, 4, 5, 3, 5, 4, 6, 4, 5, 4, 4, 4, 3, 5, 4, 8, 3, 3, 3, 3, 4, 4, 5, 6, 1, 4, 3, 5, 5, 5, 2, 5, 5, 2, 3, 5, 4, 4, 6, 4, 6, 3, 4, 5, 5, 6, 4, 4, 5, 6, 5, 3, 6, 4, 4, 8, 2, 5, 4, 4, 9, 6, 5, 5, 6, 3, 6, 4, 3, 7, 2, 6, 6, 3, 5, 2, 5, 4, 5, 5, 1, 7, 3, 7, 3, 4, 6, 5, 5, 6, 3, 7, 3, 5, 5, 4, 4, 7, 4, 2, 4, 5, 3, 5, 3, 9, 1, 7, 3, 5, 6, 7, 5, 2, 8, 5, 5, 4, 4, 5, 4, 3, 3, 5, 6, 4, 5, 4, 6, 3, 4, 6, 4, 7, 6, 4, 3, 4, 5, 6, 4, 5, 4, 3, 4, 3, 4, 2, 2, 6, 4, 3, 5, 6, 7, 3, 3, 3, 5, 4, 4, 4, 4, 6, 6, 8, 4, 1, 7, 2, 6, 5, 4, 4, 5, 4, 2, 4, 4, 4, 3, 4, 4, 5, 6, 4, 6, 3, 1 7, 3, 6, 3, 5, 7, 4, 3, 4, 5, 4, 5, 6, 4, 5, 3, 4, 6, 6, 3, 5, 7, 4, 3, 6, 3, 6, 6, 3, 5, 5, 3, 3, 2, 5, 5, 3, 4, 7, 3, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 6, 3, 5, 3, 9, 4, 7, 3, 4, 5, 6, 5, 4, 5, 4, 5, 2, 4, 4, 3, 6, 2, 1, 3, 4, 4, 3, 5, 5, 5, 3, 3, 4, 3, 5, 4, 6, 4, 5, 7, 4, 6, 6, 5, 5, 6, 6, 4, 5, 4, 5, 5, 3, 5, 3, 4, 8, 5, 6, 4, 3, 4, 3, 3, 1, 5, 5, 4, 4, 7, 6, 4, 4, 6, 3, 4, 7, 7, 5, 4, 4, 5, 5, 6, 5, 7, 5, 4, 4, 5, 4, 5, 4, 5, 6, 5, 5, 7, 2, 6, 3, 3, 5, 4, 5, 4, 5, 3, 5, 5, 6, 4, 6, 5, 4, 4, 4, 3, 4, 4, 1, 5, 5, 6, 8, 6, 2, 5, 4, 4, 3, 2, 3, 3, 4, 5, 3, 4, 4, 6, 5, 6, 2, 6, 2, 3, 2, 4, 6, 3, 2, 4, 1, 5, 6, 2, 4, 3, 6, 4, 2, 7, 6, 5, 4, 4, 6, 5, 5, 2, 5, 2, 3, 5, 4, 3, 6, 5, 8, 3, 5, 4, 3, 6, 6, 4, 4, 6, 8, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 4, 6, 6, 4, 4, 5, 4, 5, 6, 4, 3, 6, 4, 4, 5, 4, 2, 5, 5, 1, 7, 3, 4, 3, 2, 4, 6, 5, 4, 4, 1, 6, 7, 4, 8, 5, 5, 6, 6, 4, 2, 5, 6, 5, 5, 2, 4, 8, 6, 6, 4, 1, 3, 4, 4, 8, 4, 6, 3, 4, 5, 2, 3, 4, 5, 6, 4, 7, 4, 6, 4, 4, 4, 5, 6, 3, 5, 5, 5, 1, 7, 5, 3, 6, 4, 4, 5, 6, 7, 4, 4, 5, 2, 4, 4, 4, 6, 5, 4, 5, 3, 4, 2, 3, 3, 2, 6, 6, 5, 6, 6, 3, 5, 4, 4, 4, 6, 6, 6, 3, 1, 3, 5, 6, 5, 5, 3, 4, 5, 4, 3, 0, 6, 6, 5, 2, 4, 4, 3, 8, 3, 5, 3, 5, 6, 5, 4, 5, 4, 4, 6, 4, 3, 4, 5, 7, 3, 8, 4, 4, 5, 3, 2, 3, 3, 5, 5, 4, 3, 4, 6, 4, 3, 5, 4, 3, 7, 5, 6, 3, 4, 4, 2, 3, 7, 1, 5, 5, 6, 3, 7, 3, 2, 5, 4, 4, 3, 7, 4, 3, 3, 6, 4, 3, 5, 4, 6, 3, 3, 7, 2, 7, 4, 4, 6, 6, 4, 4, 3, 6, 7, 3, 5, 3, 3, 3, 4, 5, 3, 8, 4, 3, 3, 5, 6, 4, 4, 3, 6, 4, 3, 5, 5, 5, 2, 4, 4, 5, 1 4, 5, 3, 5, 4, 3, 5, 2, 4, 4, 2, 5, 3, 5, 5, 5, 3, 4, 3, 4, 7, 4, 6, 5, 3, 7, 3, 5, 7, 2, 3, 3, 5, 5, 5, 4, 6, 6, 8, 4, 5, 3, 5, 6, 6, 7, 2, 4, 3, 4, 3, 6, 4, 4, 5, 4, 4, 6, 4, 4, 5, 4, 7, 5, 4, 4, 5, 5, 4, 3, 5, 7, 2, 6, 4, 5, 5, 4, 3, 5, 4, 5, 2, 5, 3, 5, 7, 4, 5, 5, 2, 3, 4, 3, 3, 4, 5, 4, 4, 8, 3, 6, 5, 5, 4, 6, 4, 3, 4, 3, 3, 8, 7, 3, 6, 4, 6, 5, 4, 3, 5, 5, 5, 4, 6, 4, 1, 7, 6, 5, 5, 2, 3, 3, 6, 3, 5, 5, 6, 5, 2, 6, 4, 6, 6, 5, 4, 3, 3, 3, 5, 6, 4, 5, 4, 3, 6, 6, 7, 6, 3, 4, 6, 2, 6, 5, 6, 7, 1, 5, 5, 2, 3, 4, 4, 3, 6, 4, 3, 0, 4, 4, 5, 3, 2, 5, 3, 6, 5, 6, 8, 1, 3, 4, 4, 4, 4, 8, 4, 7, 5, 5, 5, 3, 6, 2, 5, 4, 3, 1, 3, 4, 3, 5, 3, 5, 5, 4, 5, 4, 5, 6, 5, 4, 5, 4, 6, 2, 8, 7, 6, 1, 4, 3, 5, 5, 3, 4, 7, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 6, 6, 4, 4, 3, 4, 4, 4, 7, 4, 5, 5, 4, 1, 6, 4, 5, 7, 4, 3, 3, 5, 7, 5, 3, 5, 3, 4, 4, 4, 5, 3, 5, 6, 4, 6, 4, 1, 6, 3, 5, 6, 3, 7, 2, 3, 4, 4, 3, 7, 6, 3, 4, 7, 5, 4, 6, 4, 4, 4, 7, 4, 4, 5, 5, 5, 4, 3, 7, 6, 7, 3, 4, 4, 4, 2, 4, 5, 4, 4, 5, 3, 6, 5, 2, 5, 4, 3, 5, 3, 5, 4, 4, 3, 5, 0, 2, 4, 5, 5, 4, 6, 5, 5, 7, 5, 3, 3, 3, 6, 4, 5, 8, 5, 5, 4, 7, 7, 4, 7, 5, 4, 1, 8, 4, 7, 4, 1, 8, 3, 5, 6, 4, 4, 6, 5, 3, 3, 2, 6, 5, 4, 5, 6, 5, 6, 9, 3, 5, 5, 3, 5, 3, 8, 5, 5, 3, 5, 4, 6, 5, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 2, 3, 6, 6, 5, 4, 5, 5, 4, 4, 6, 4, 4, 6, 3, 4, 4, 4, 8, 6, 6, 4, 7, 3, 3, 2, 6, 7, 6, 5, 4, 3, 3, 6, 6, 8, 3, 4, 3, 1, 3, 4, 4, 7, 4, 4, 4, 3, 5, 6, 3, 6, 6, 3, 6, 4, 2, 4, 4, 5, 4, 8, 6, 4, 3, 4, 4, 2, 5, -1 3, 4, 4, 5, 4, 4, 8, 4, 3, 5, 7, 4, 4, 4, 5, 5, 4, 6, 3, 4, 6, 4, 4, 4, 5, 2, 1, 4, 7, 4, 5, 6, 3, 4, 4, 1, 4, 8, 7, 4, 6, 4, 7, 4, 6, 4, 4, 6, 3, 4, 5, 5, 5, 4, 5, 7, 6, 2, 4, 3, 6, 3, 3, 3, 4, 3, 3, 8, 1, 6, 3, 6, 5, 7, 3, 5, 2, 2, 5, 4, 4, 4, 2, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 2, 6, 4, 3, 4, 6, 0, 5, 5, 6, 3, 4, 7, 6, 7, 4, 1, 4, 4, 3, 5, 4, 5, 3, 9, 5, 2, 6, 6, 7, 4, 3, 4, 5, 4, 5, 2, 3, 4, 3, 3, 2, 4, 3, 6, 6, 3, 4, 4, 3, 6, 7, 6, 4, 5, 5, 5, 5, 5, 4, 6, 3, 8, 4, 6, 6, 1, 4, 7, 4, 5, 6, 3, 5, 6, 2, 5, 5, 4, 3, 4, 5, 5, 6, 3, 4, 5, 2, 4, 5, 4, 3, 3, 3, 5, 5, 3, 3, 5, 6, 3, 6, 2, 6, 4, 4, 7, 6, 5, 6, 4, 3, 4, 6, 3, 4, 1, 4, 3, 3, 5, 6, 4, 5, 4, 5, 7, 4, 4, 4, 5, 5, 3, 3, 6, 5, 5, 2, 5, 5, 6, 4, 6, 4, 4, 3, 4, 6, 3, 4, 4, 6, 5, 6, 3, 6, 6, 5, 4, 3, 7, 3, 6, 4, 6, 6, 5, 6, 3, 4, 4, 5, 3, 5, 2, 5, 4, 4, 7, 1, 5, 4, 4, 5, 5, 6, 5, 3, 7, 3, 6, 4, 6, 4, 5, 4, 6, 3, 6, 3, 4, 5, 4, 3, 8, 3, 7, 6, 3, 2, 4, 5, 6, 4, 7, 6, 5, 4, 3, 5, 6, 5, 5, 4, 6, 4, 5, 6, 5, 6, 4, 6, 5, 4, 2, 3, 4, 6, 5, 4, 5, 2, 4, 5, 4, 2, 5, 4, 3, 4, 5, 4, 6, 6, 3, 6, 1, 4, 7, 5, 5, 5, 3, 4, 4, 7, 1, 3, 4, 3, 6, 1, 7, 6, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 3, 3, 3, 3, 2, 3, 4, 6, 5, 1, 3, 6, 1, 4, 4, 5, 4, 4, 3, 6, 6, 4, 5, 6, 5, 7, 3, 4, 6, 6, 3, 6, 6, 2, 5, 2, 6, 2, 4, 5, 5, 4, 3, 7, 5, 2, 6, 4, 4, 4, 6, 3, 5, 2, 3, 4, 7, 4, 6, 3, 4, 6, 3, 8, 2, 5, 6, 2, 3, 4, 5, 4, 2, 6, 2, 2, 4, 6, 2, 2, 4, 6, 4, 5, 3, 3, 5, 4, 5, 4, 5, 5, 2, 4, 2, 6, 4, 6, 6, 6, 5, 4, 5, 6, 2, 2, 7, 4, 7, 3, 3, 5, 4, 4, 6, 1, 4, 6, 5, 4, 5, 4, -1 5, 3, 0, 5, 4, 4, 2, 5, 6, 4, 6, 4, 5, 7, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 5, 7, 3, 5, 6, 2, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 0, 6, 4, 8, 5, 5, 5, 6, 4, 4, 6, 2, 4, 7, 7, 5, 3, 4, 2, 6, 5, 4, 4, 5, 4, 6, 4, 4, 1, 4, 3, 5, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 7, 6, 3, 6, 4, 4, 5, 7, 4, 3, 3, 3, 5, 3, 5, 4, 7, 5, 6, 5, 3, 5, 5, 4, 3, 5, 4, 1, 6, 6, 5, 3, 4, 5, 5, 3, 4, 9, 5, 5, 3, 4, 6, 5, 5, 7, 7, 5, 5, 4, 3, 4, 8, 6, 4, 2, 6, 5, 6, 9, 7, 6, 4, 5, 3, 4, 5, 5, 5, 2, 5, 4, 7, 5, 5, 3, 5, 3, 4, 6, 6, 7, 3, 4, 5, 4, 5, 4, 5, 7, 4, 2, 4, 4, 6, 4, 7, 6, 7, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 3, 4, 6, 3, 5, 4, 4, 4, 4, 2, 5, 2, 3, 6, 4, 5, 5, 4, 5, 7, 5, 7, 6, 4, 7, 4, 5, 6, 6, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 7, 4, 3, 4, 1, 5, 7, 3, 5, 3, 3, 5, 6, 5, 5, 3, 4, 5, 3, 3, 3, 6, 5, 3, 5, 5, 2, 6, 6, 1, 6, 1, 4, 5, 6, 4, 5, 4, 4, 6, 4, 4, 5, 5, 2, 4, 5, 4, 5, 5, 3, 3, 2, 5, 6, 3, 6, 4, 5, 2, 3, 4, 5, 7, 5, 7, 3, 7, 6, 4, 2, 6, 4, 4, 5, 2, 4, 3, 6, 4, 5, 5, 2, 5, 2, 4, 4, 6, 6, 5, 4, 5, 5, 4, 2, 5, 2, 5, 3, 5, 4, 5, 5, 6, 5, 3, 1, 5, 2, 4, 4, 3, 4, 2, 7, 5, 7, 3, 1, 5, 8, 5, 4, 4, 5, 5, 3, 5, 6, 7, 5, 5, 1, 1, 5, 4, 3, 6, 5, 6, 0, 4, 7, 2, 5, 5, 4, 5, 4, 4, 3, 3, 3, 7, 4, 4, 5, 4, 5, 2, 5, 3, 5, 6, 7, 1, 3, 4, 7, 7, 5, 7, 4, 5, 3, 6, 3, 1, 3, 4, 4, 2, 2, 5, 3, 4, 7, 4, 6, 5, 5, 4, 3, 3, 3, 5, 8, 3, 6, 5, 3, 5, 4, 5, 6, 6, 2, 4, 2, 5, 4, 4, 4, 4, 3, 6, 4, 2, 5, 4, 3, 5, 5, 6, 4, 2, 6, 5, 4, 2, 5, 5, 5, 2, 6, 4, 3, 4, 6, 5, 3, 3, 6, 4, 4, 6, 4, 4, 4, 4, 5, 4, 6, 4, 3, 6, 6, 5, 4, 5, 3, 5, -1 3, 6, 4, 8, 3, 3, 3, 4, 4, 4, 6, 4, 3, 4, 6, 6, 5, 5, 7, 6, 7, 5, 5, 5, 3, 6, 2, 4, 7, 4, 7, 3, 7, 4, 4, 6, 5, 3, 4, 3, 6, 8, 3, 1, 5, 4, 5, 5, 2, 7, 7, 5, 5, 6, 4, 6, 4, 2, 4, 3, 5, 7, 5, 4, 6, 3, 3, 5, 5, 6, 7, 5, 2, 7, 4, 3, 4, 5, 5, 4, 5, 2, 4, 4, 5, 3, 4, 2, 5, 6, 7, 3, 3, 4, 6, 2, 4, 3, 3, 3, 3, 4, 6, 6, 5, 3, 6, 5, 5, 5, 3, 4, 5, 6, 3, 5, 5, 3, 6, 4, 2, 5, 6, 3, 7, 3, 5, 8, 4, 5, 4, 3, 5, 1, 5, 6, 6, 2, 6, 2, 3, 6, 3, 3, 6, 6, 4, 8, 4, 4, 6, 7, 5, 3, 5, 4, 5, 5, 6, 6, 4, 5, 6, 4, 4, 5, 7, 6, 3, 2, 5, 5, 4, 4, 4, 4, 4, 3, 6, 6, 5, 1, 4, 4, 3, 5, 5, 5, 5, 5, 4, 7, 5, 6, 6, 6, 3, 2, 1, 2, 7, 9, 4, 2, 6, 4, 4, 5, 3, 3, 4, 2, 5, 4, 3, 4, 3, 5, 4, 6, 4, 5, 6, 5, 4, 4, 6, 5, 4, 6, 4, 3, 4, 6, 4, 3, 3, 5, 6, 4, 5, 3, 5, 3, 7, 4, 6, 1, 4, 2, 3, 4, 4, 4, 7, 5, 6, 3, 5, 6, 6, 4, 5, 6, 3, 2, 3, 3, 3, 2, 4, 2, 8, 5, 3, 8, 4, 3, 4, 5, 3, 3, 5, 5, 7, 4, 9, 5, 4, 3, 6, 4, 7, 6, 4, 4, 6, 4, 4, 7, 5, 5, 4, 4, 2, 2, 2, 2, 5, 4, 4, 4, 5, 6, 4, 5, 6, 4, 7, 6, 3, 5, 4, 4, 3, 3, 6, 4, 6, 3, 8, 5, 4, 3, 4, 4, 5, 4, 6, 5, 3, 6, 2, 3, 1, 4, 6, 4, 3, 3, 4, 5, 6, 6, 5, 4, 4, 5, 3, 4, 5, 3, 5, 6, 3, 0, 4, 4, 2, 7, 4, 1, 4, 4, 8, 6, 4, 4, 2, 3, 5, 4, 3, 6, 4, 4, 5, 3, 5, 3, 2, 5, 2, 5, 1, 5, 4, 4, 6, 4, 4, 4, 8, 3, 3, 7, 5, 4, 3, 5, 7, 5, 7, 5, 4, 5, 5, 6, 4, 3, 5, 3, 3, 4, 4, 3, 7, 4, 4, 2, 6, 5, 4, 3, 7, 4, 4, 9, 5, 7, 3, 4, 4, 6, 6, 1, 3, 5, 4, 6, 6, 7, 4, 4, 3, 6, 3, 5, 5, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 4, 2, 4, 4, 6, 5, 3, 4, 6, 4, 5, 4, 6, 7, 2, 5, 4, 4, 4, 5, 9, 4, 5, 3, 3, 3, 5, 3, 5, 5, 4, -1 4, 4, 3, 5, 2, 4, 4, 6, 3, 5, 5, 4, 5, 4, 4, 5, 5, 6, 3, 5, 6, 3, 2, 3, 3, 3, 4, 3, 3, 5, 4, 2, 5, 6, 8, 5, 6, 2, 4, 1, 5, 2, 5, 4, 6, 6, 3, 4, 2, 2, 4, 4, 3, 6, 5, 7, 5, 3, 5, 7, 5, 6, 2, 1, 3, 5, 4, 5, 6, 7, 5, 6, 2, 3, 6, 5, 4, 4, 5, 6, 4, 7, 5, 4, 4, 3, 6, 6, 5, 4, 4, 7, 5, 1, 4, 3, 6, 5, 6, 3, 4, 4, 1, 3, 4, 4, 4, 4, 1, 5, 6, 6, 5, 6, 5, 2, 3, 5, 5, 4, 4, 3, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 3, 4, 6, 5, 3, 4, 4, 4, 4, 4, 3, 2, 4, 6, 4, 5, 3, 6, 4, 6, 6, 5, 3, 4, 5, 5, 4, 4, 4, 6, 3, 5, 4, 7, 5, 4, 6, 2, 5, 5, 3, 4, 4, 6, 3, 3, 4, 3, 3, 2, 4, 4, 1, 5, 8, 5, 4, 3, 3, 5, 5, 2, 5, 3, 4, 4, 4, 7, 8, 7, 5, 5, 6, 6, 3, 5, 2, 3, 3, 3, 3, 4, 5, 6, 3, 6, 7, 5, 2, 5, 3, 7, 3, 3, 3, 4, 4, 6, 4, 6, 5, 5, 5, 5, 2, 5, 5, 6, 5, 3, 5, 3, 4, 2, 3, 4, 4, 1, 3, 4, 4, 4, 3, 7, 3, 6, 4, 3, 3, 4, 4, 2, 6, 3, 3, 3, 1, 4, 5, 6, 4, 5, 5, 4, 4, 7, 2, 2, 5, 3, 4, 6, 5, 7, 4, 5, 4, 4, 4, 5, 4, 6, 5, 4, 3, 3, 6, 4, 4, 4, 7, 2, 6, 4, 3, 6, 6, 4, 2, 3, 4, 5, 4, 4, 6, 3, 4, 4, 5, 7, 6, 6, 4, 4, 4, 5, 5, 4, 5, 2, 5, 5, 6, 3, 3, 4, 6, 9, 3, 4, 4, 5, 4, 5, 6, 7, 6, 5, 2, 5, 4, 2, 4, 5, 7, 3, 5, 3, 5, 5, 0, 6, 2, 2, 4, 5, 3, 4, 3, 3, 5, 4, 4, 5, 4, 1, 5, 2, 6, 4, 2, 6, 8, 3, 6, 4, 6, 4, 4, 4, 4, 6, 7, 2, 9, 5, 0, 4, 4, 5, 4, 5, 5, 6, 5, 5, 7, 5, 3, 4, 3, 2, 5, 6, 5, 5, 3, 6, 4, 5, 2, 6, 4, 4, 4, 5, 5, 5, 2, 4, 6, 3, 4, 7, 5, 6, 6, 5, 4, 6, 5, 4, 2, 3, 3, 5, 5, 3, 3, 3, 6, 3, 3, 5, 4, 2, 2, 6, 7, 4, 4, 4, 2, 4, 5, 2, 6, 2, 5, 6, 3, 5, 5, 3, 6, 5, 4, 3, 7, 8, 8, 6, 5, 5, 5, 3, 2, 6, 6, 6, 6, 5, 5, 5, 5, 3, 2, 1 4, 5, 4, 5, 5, 2, 6, 4, 3, 4, 2, 4, 5, 4, 7, 6, 2, 6, 3, 4, 6, 3, 2, 6, 5, 5, 4, 3, 5, 3, 1, 5, 6, 5, 5, 4, 5, 2, 4, 5, 3, 5, 2, 2, 3, 4, 3, 4, 4, 4, 6, 4, 4, 4, 6, 6, 5, 4, 6, 5, 6, 5, 4, 3, 7, 7, 4, 5, 5, 7, 4, 4, 1, 4, 4, 5, 4, 6, 6, 4, 2, 3, 3, 5, 3, 1, 4, 3, 6, 7, 4, 5, 7, 3, 6, 6, 4, 3, 3, 5, 5, 5, 4, 4, 2, 4, 7, 4, 5, 5, 2, 6, 6, 6, 5, 5, 3, 3, 5, 5, 4, 6, 3, 6, 7, 4, 5, 5, 5, 6, 4, 3, 3, 6, 4, 5, 6, 4, 6, 4, 3, 3, 2, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 7, 4, 5, 2, 6, 7, 4, 5, 4, 1, 5, 4, 6, 7, 5, 3, 4, 7, 2, 6, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 4, 4, 4, 4, 7, 5, 4, 6, 5, 3, 6, 5, 3, 4, 6, 6, 5, 4, 5, 6, 2, 4, 6, 2, 5, 5, 2, 3, 5, 5, 6, 5, 4, 7, 4, 9, 5, 5, 3, 5, 3, 5, 6, 6, 4, 6, 6, 4, 4, 3, 6, 6, 6, 4, 5, 4, 1, 6, 2, 6, 3, 5, 3, 3, 2, 2, 5, 4, 4, 4, 2, 4, 1, 4, 4, 3, 6, 5, 4, 6, 6, 4, 2, 6, 4, 6, 4, 4, 4, 7, 4, 5, 4, 7, 9, 5, 7, 5, 6, 5, 4, 3, 5, 4, 4, 5, 5, 4, 3, 5, 2, 5, 7, 8, 1, 5, 3, 6, 7, 3, 4, 6, 6, 5, 2, 3, 5, 4, 7, 3, 4, 4, 7, 5, 3, 5, 6, 3, 6, 4, 6, 3, 3, 4, 4, 6, 4, 6, 4, 2, 4, 4, 4, 6, 5, 4, 5, 5, 6, 6, 5, 3, 5, 2, 4, 4, 2, 6, 2, 5, 3, 3, 3, 3, 3, 4, 6, 6, 4, 5, 5, 5, 4, 4, 5, 5, 2, 4, 5, 5, 2, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 6, 5, 1, 5, 3, 4, 5, 3, 5, 4, 4, 3, 7, 5, 6, 5, 4, 9, 4, 5, 5, 4, 2, 4, 1, 5, 4, 4, 4, 4, 3, 7, 3, 5, 4, 6, 3, 6, 7, 3, 6, 7, 4, 2, 5, 5, 4, 5, 8, 7, 6, 5, 4, 5, 4, 3, 6, 7, 8, 5, 8, 8, 2, 4, 5, 2, 5, 6, 5, 5, 4, 6, 6, 5, 6, 7, 3, 4, 5, 3, 5, 6, 5, 1, 6, 4, 2, 3, 5, 5, 5, 6, 5, 5, 6, 4, 3, 5, 4, 5, 4, 7, 6, 5, 4, 3, 3, 7, -1 3, 5, 4, 2, 6, 5, 4, 5, 2, 5, 7, 6, 8, 3, 6, 4, 4, 2, 4, 4, 5, 4, 2, 3, 6, 6, 4, 3, 4, 4, 1, 4, 3, 7, 5, 5, 4, 5, 4, 5, 4, 4, 4, 6, 2, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 6, 2, 5, 3, 4, 4, 1, 4, 2, 5, 5, 2, 5, 4, 4, 5, 4, 5, 6, 8, 5, 5, 3, 8, 3, 2, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 2, 3, 4, 5, 5, 5, 2, 3, 7, 5, 5, 8, 3, 5, 4, 5, 3, 2, 4, 4, 5, 5, 6, 6, 6, 2, 7, 3, 4, 3, 3, 4, 6, 7, 6, 3, 7, 2, 4, 2, 4, 2, 5, 4, 4, 8, 4, 2, 6, 5, 3, 8, 3, 6, 4, 2, 5, 4, 6, 3, 3, 4, 2, 2, 3, 4, 4, 6, 4, 2, 6, 3, 4, 2, 5, 4, 5, 5, 7, 3, 6, 2, 2, 3, 4, 5, 2, 4, 4, 4, 7, 4, 5, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 7, 4, 5, 5, 5, 5, 4, 2, 6, 4, 5, 3, 4, 5, 3, 5, 5, 5, 4, 3, 3, 4, 6, 4, 5, 4, 2, 6, 4, 4, 5, 6, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 5, 5, 4, 4, 2, 6, 5, 5, 6, 3, 4, 4, 3, 2, 6, 4, 4, 5, 3, 4, 5, 3, 5, 3, 6, 1, 6, 3, 6, 2, 4, 7, 4, 3, 1, 2, 6, 2, 7, 3, 4, 3, 3, 3, 5, 3, 4, 2, 4, 5, 4, 3, 6, 1, 6, 6, 5, 4, 6, 4, 4, 4, 6, 5, 5, 3, 6, 4, 5, 3, 2, 6, 4, 3, 6, 4, 6, 3, 5, 6, 5, 4, 6, 6, 6, 4, 4, 4, 6, 6, 5, 4, 7, 5, 3, 4, 4, 4, 2, 7, 5, 5, 2, 4, 5, 4, 5, 6, 5, 4, 4, 3, 6, 5, 7, 4, 3, 4, 7, 4, 4, 4, 6, 4, 5, 6, 6, 6, 1, 6, 4, 4, 4, 2, 5, 4, 3, 3, 3, 2, 4, 2, 6, 4, 5, 5, 4, 6, 4, 3, 3, 4, 4, 5, 5, 3, 4, 2, 5, 3, 6, 5, 3, 6, 6, 3, 4, 6, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 6, 3, 4, 4, 5, 3, 6, 3, 6, 2, 6, 5, 4, 7, 5, 6, 5, 3, 5, 4, 6, 6, 5, 6, 8, 5, 6, 4, 5, 2, 6, 7, 3, 3, 3, 6, 4, 6, 4, 5, 4, 6, 6, 9, 5, 5, 2, 3, 5, 4, 3, 4, 5, 2, 4, 5, 5, 5, 4, 7, 5, 3, 3, 6, 5, 5, 5, 4, 4, 2, 6, 4, 6, 4, 6, 4, 1 4, 2, 4, 4, 4, 2, 4, 6, 5, 7, 3, 2, 6, 6, 3, 4, 4, 3, 5, 3, 4, 3, 6, 5, 2, 6, 5, 3, 7, 8, 5, 2, 3, 4, 6, 5, 6, 6, 7, 5, 6, 3, 4, 5, 3, 2, 5, 5, 6, 3, 8, 5, 5, 4, 2, 5, 6, 6, 5, 4, 4, 3, 4, 3, 5, 1, 4, 4, 3, 4, 6, 5, 5, 3, 4, 4, 5, 2, 6, 4, 3, 3, 4, 5, 4, 4, 7, 5, 4, 2, 4, 4, 4, 2, 4, 1, 4, 4, 4, 6, 4, 1, 4, 7, 4, 6, 8, 5, 3, 5, 2, 7, 7, 6, 7, 1, 6, 5, 5, 3, 2, 6, 7, 1, 2, 6, 7, 6, 7, 7, 3, 4, 5, 6, 4, 3, 6, 3, 5, 6, 4, 3, 6, 2, 3, 6, 1, 4, 6, 3, 3, 5, 5, 3, 5, 3, 3, 7, 2, 3, 4, 5, 7, 5, 5, 3, 7, 4, 3, 3, 6, 3, 4, 3, 8, 7, 4, 4, 4, 2, 4, 6, 0, 5, 2, 1, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 7, 4, 3, 3, 4, 5, 6, 6, 3, 3, 3, 3, 7, 6, 5, 4, 3, 4, 5, 6, 7, 3, 5, 4, 6, 5, 4, 4, 3, 6, 5, 4, 4, 7, 4, 5, 3, 8, 2, 5, 3, 8, 4, 6, 3, 3, 4, 3, 5, 5, 7, 4, 4, 5, 6, 5, 2, 5, 3, 4, 7, 5, 2, 6, 4, 5, 3, 5, 6, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 7, 5, 4, 5, 3, 2, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 2, 5, 6, 7, 4, 5, 4, 3, 6, 3, 4, 4, 4, 3, 5, 4, 2, 5, 5, 5, 3, 4, 5, 4, 6, 5, 7, 6, 4, 3, 3, 3, 6, 3, 4, 3, 4, 6, 6, 4, 4, 4, 4, 7, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 6, 4, 6, 2, 7, 1, 3, 3, 4, 4, 5, 3, 4, 4, 3, 3, 6, 2, 4, 5, 4, 2, 4, 7, 4, 2, 3, 2, 5, 3, 7, 5, 6, 6, 2, 3, 4, 3, 5, 5, 5, 5, 3, 3, 6, 3, 6, 5, 3, 4, 5, 5, 6, 3, 4, 4, 6, 4, 3, 6, 7, 4, 4, 6, 4, 5, 5, 3, 3, 3, 5, 5, 4, 3, 5, 3, 4, 7, 4, 5, 3, 5, 2, 4, 5, 3, 6, 3, 4, 5, 5, 6, 4, 4, 3, 5, 5, 3, 1, 6, 5, 3, 5, 5, 6, 6, 3, 5, 8, 3, 3, 4, 2, 8, 2, 5, 3, 2, 5, 5, 2, 6, 2, 5, 4, 3, 5, 4, 5, 3, 4, 5, 5, 6, 3, 2, 5, 3, 6, 4, 5, 5, 2, 6, 5, 5, 6, 5, 5, 5, 3, 3, 6, 4, -1 6, 5, 4, 5, 4, 3, 2, 5, 2, 5, 4, 6, 2, 2, 4, 6, 6, 6, 5, 4, 4, 3, 8, 6, 3, 4, 2, 4, 6, 5, 3, 7, 5, 2, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 2, 6, 3, 2, 5, 6, 6, 5, 4, 2, 3, 6, 3, 7, 3, 4, 1, 4, 8, 5, 2, 6, 3, 1, 6, 4, 5, 2, 4, 7, 5, 6, 5, 4, 5, 3, 5, 2, 3, 6, 2, 4, 6, 4, 3, 5, 7, 0, 6, 6, 5, 6, 5, 4, 5, 5, 5, 3, 6, 3, 6, 5, 4, 6, 5, 2, 5, 5, 4, 2, 5, 4, 3, 7, 4, 5, 7, 3, 5, 5, 2, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 1, 4, 4, 7, 3, 3, 4, 4, 2, 5, 7, 4, 3, 5, 5, 5, 4, 5, 2, 6, 3, 4, 6, 5, 1, 4, 6, 6, 4, 5, 8, 3, 6, 6, 6, 7, 5, 5, 3, 3, 2, 4, 6, 6, 4, 5, 6, 5, 5, 5, 2, 4, 6, 4, 4, 4, 3, 8, 3, 6, 3, 3, 5, 4, 3, 4, 3, 3, 7, 2, 5, 6, 2, 6, 2, 4, 3, 4, 7, 5, 2, 4, 5, 5, 3, 5, 3, 3, 6, 6, 3, 5, 4, 2, 3, 3, 9, 5, 6, 3, 5, 3, 5, 5, 4, 7, 5, 4, 2, 2, 6, 5, 4, 6, 4, 3, 4, 5, 1, 4, 4, 5, 6, 6, 5, 7, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 6, 6, 7, 6, 6, 5, 4, 4, 3, 7, 4, 3, 6, 3, 3, 7, 6, 4, 4, 6, 5, 4, 2, 5, 5, 5, 5, 4, 6, 3, 4, 3, 6, 2, 4, 6, 6, 4, 4, 3, 5, 5, 4, 3, 3, 2, 7, 4, 6, 5, 3, 4, 5, 4, 2, 3, 7, 6, 5, 6, 3, 2, 3, 5, 5, 2, 3, 5, 7, 5, 4, 5, 4, 4, 5, 4, 4, 6, 4, 5, 7, 4, 4, 6, 2, 4, 6, 4, 4, 3, 3, 4, 2, 8, 2, 3, 4, 5, 3, 5, 2, 5, 6, 7, 4, 6, 5, 4, 4, 6, 5, 3, 3, 5, 5, 1, 4, 5, 7, 3, 6, 2, 5, 7, 3, 5, 4, 6, 4, 6, 4, 6, 4, 5, 4, 3, 5, 7, 4, 6, 5, 3, 5, 5, 5, 4, 4, 3, 5, 4, 3, 5, 4, 7, 4, 4, 5, 4, 3, 8, 6, 2, 4, 3, 5, 6, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 5, 3, 3, 5, 1, 4, 7, 4, 3, 4, 4, 4, 6, 5, 6, 8, 6, 5, 4, 2, 4, 5, 7, 4, 6, 5, 5, 4, 4, 6, 6, 3, 4, 4, 4, 5, 5, 5, 1 4, 3, 4, 2, 4, 6, 4, 4, 7, 4, 5, 4, 4, 5, 6, 4, 4, 5, 2, 6, 6, 7, 3, 5, 6, 5, 4, 4, 7, 5, 3, 6, 4, 3, 9, 3, 3, 3, 6, 4, 6, 3, 4, 6, 5, 3, 4, 3, 2, 4, 6, 4, 4, 1, 4, 6, 6, 6, 7, 4, 6, 5, 6, 5, 4, 6, 3, 5, 5, 6, 4, 3, 4, 6, 3, 3, 4, 2, 6, 5, 8, 2, 6, 6, 9, 2, 5, 5, 7, 3, 4, 5, 5, 4, 7, 4, 8, 3, 5, 6, 3, 3, 1, 5, 2, 5, 6, 3, 3, 4, 2, 7, 6, 6, 5, 5, 8, 6, 5, 4, 3, 4, 4, 7, 4, 6, 7, 5, 5, 7, 5, 4, 6, 4, 4, 6, 5, 7, 4, 0, 4, 3, 5, 3, 5, 4, 3, 5, 7, 4, 4, 7, 4, 3, 5, 5, 5, 4, 5, 3, 4, 3, 6, 4, 7, 7, 4, 5, 4, 6, 4, 3, 6, 7, 4, 7, 7, 4, 6, 3, 4, 2, 2, 4, 4, 2, 5, 4, 4, 5, 4, 5, 2, 4, 3, 4, 1, 4, 5, 4, 6, 5, 7, 7, 6, 4, 2, 4, 3, 8, 5, 3, 4, 6, 5, 3, 2, 2, 3, 3, 5, 3, 4, 8, 3, 5, 3, 5, 1, 3, 6, 1, 5, 6, 4, 1, 5, 4, 4, 2, 5, 4, 3, 5, 4, 4, 4, 3, 4, 2, 8, 6, 3, 4, 6, 3, 3, 6, 4, 5, 8, 2, 6, 4, 1, 5, 3, 5, 4, 6, 2, 2, 3, 6, 4, 4, 7, 6, 6, 4, 2, 3, 4, 5, 6, 2, 4, 3, 5, 1, 1, 7, 5, 3, 4, 5, 4, 3, 5, 4, 5, 4, 5, 7, 4, 2, 5, 3, 7, 6, 7, 6, 5, 2, 5, 3, 4, 5, 7, 6, 2, 4, 4, 7, 4, 4, 4, 4, 1, 3, 5, 2, 4, 3, 6, 2, 4, 5, 5, 5, 2, 5, 3, 2, 3, 4, 4, 4, 6, 6, 5, 5, 3, 8, 7, 4, 7, 8, 5, 2, 4, 6, 6, 4, 4, 5, 5, 3, 6, 4, 5, 5, 5, 5, 7, 6, 4, 4, 3, 5, 1, 3, 6, 4, 7, 8, 8, 4, 5, 5, 5, 4, 2, 5, 3, 2, 3, 5, 4, 3, 5, 3, 4, 3, 3, 2, 4, 6, 5, 6, 6, 1, 3, 4, 3, 5, 3, 7, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 5, 3, 7, 4, 3, 3, 4, 6, 4, 3, 6, 2, 5, 4, 5, 6, 4, 8, 3, 4, 3, 3, 5, 6, 7, 5, 5, 3, 4, 5, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 3, 2, 4, 5, 6, 3, 2, 4, 4, 6, 4, 3, 6, 4, 4, 4, 5, 5, 4, 5, 6, 4, 4, 4, 3, 1 2, 4, 3, 4, 5, 3, 3, 4, 5, 5, 4, 3, 7, 5, 5, 2, 3, 4, 4, 5, 6, 5, 4, 4, 5, 5, 2, 6, 1, 6, 7, 5, 5, 1, 4, 4, 3, 5, 1, 5, 4, 5, 6, 2, 5, 4, 1, 8, 6, 6, 4, 6, 5, 3, 4, 5, 4, 6, 4, 5, 4, 3, 5, 4, 2, 5, 4, 6, 2, 3, 5, 4, 3, 4, 4, 6, 6, 5, 3, 2, 3, 2, 2, 5, 6, 2, 4, 5, 4, 6, 4, 2, 5, 6, 3, 3, 7, 6, 3, 5, 5, 3, 4, 4, 5, 6, 6, 6, 5, 3, 2, 4, 5, 5, 4, 6, 6, 4, 5, 5, 4, 3, 5, 5, 3, 4, 3, 7, 6, 3, 6, 5, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 3, 3, 4, 5, 8, 5, 5, 5, 3, 5, 3, 6, 4, 4, 3, 3, 6, 6, 4, 5, 5, 5, 5, 6, 3, 6, 5, 6, 7, 4, 5, 4, 5, 4, 4, 6, 6, 4, 6, 3, 3, 4, 1, 5, 5, 7, 5, 4, 3, 5, 3, 3, 4, 5, 5, 8, 5, 4, 6, 5, 6, 3, 6, 2, 4, 3, 5, 6, 7, 2, 6, 4, 6, 6, 6, 7, 4, 7, 3, 7, 3, 4, 5, 4, 5, 4, 4, 4, 5, 3, 6, 3, 3, 6, 4, 6, 6, 4, 6, 5, 4, 6, 6, 3, 7, 7, 5, 6, 4, 2, 4, 3, 4, 4, 5, 7, 2, 5, 7, 6, 4, 6, 6, 3, 5, 4, 4, 4, 4, 7, 4, 4, 6, 4, 2, 4, 3, 4, 5, 5, 4, 6, 4, 4, 4, 5, 6, 5, 5, 5, 5, 4, 5, 2, 6, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 3, 6, 6, 6, 1, 3, 4, 6, 2, 5, 6, 4, 3, 5, 5, 6, 4, 3, 6, 7, 5, 4, 4, 4, 4, 4, 2, 5, 5, 4, 1, 4, 5, 6, 5, 6, 5, 4, 4, 5, 6, 4, 4, 5, 4, 4, 4, 3, 7, 6, 5, 4, 2, 4, 4, 3, 3, 5, 3, 3, 4, 6, 5, 5, 4, 3, 5, 7, 7, 3, 5, 3, 5, 3, 4, 6, 5, 4, 5, 4, 4, 1, 1, 4, 2, 5, 3, 4, 6, 5, 6, 5, 5, 2, 3, 4, 4, 3, 4, 8, 5, 4, 6, 4, 2, 5, 4, 4, 3, 4, 5, 3, 5, 2, 4, 5, 6, 5, 5, 5, 6, 6, 6, 3, 4, 5, 6, 7, 5, 4, 2, 4, 7, 4, 3, 3, 3, 4, 4, 7, 5, 1, 3, 6, 1, 2, 4, 6, 1, 5, 7, 3, 5, 6, 6, 4, 4, 3, 6, 5, 3, 3, 7, 2, 4, 6, 6, 3, 4, 5, 4, 6, 6, 3, 5, 3, 4, 5, 6, 6, 6, 3, 5, 5, 4, 4, 3, 4, 2, 5, -1 8, 3, 6, 6, 4, 2, 5, 4, 4, 9, 2, 3, 5, 4, 6, 5, 4, 6, 7, 5, 6, 5, 3, 5, 6, 4, 4, 4, 3, 3, 7, 4, 3, 2, 5, 8, 5, 4, 3, 3, 4, 5, 4, 6, 2, 3, 6, 2, 3, 4, 6, 6, 4, 6, 5, 6, 7, 5, 5, 4, 6, 7, 3, 4, 2, 5, 4, 7, 3, 5, 6, 3, 5, 5, 4, 3, 3, 5, 4, 4, 5, 3, 3, 2, 1, 7, 4, 4, 6, 4, 4, 5, 7, 4, 3, 5, 6, 3, 9, 4, 4, 4, 3, 3, 2, 6, 3, 6, 6, 2, 3, 6, 4, 5, 3, 4, 4, 3, 5, 4, 2, 4, 7, 5, 6, 2, 3, 7, 6, 5, 5, 2, 6, 6, 5, 3, 4, 3, 7, 6, 3, 3, 6, 4, 4, 7, 4, 4, 4, 5, 4, 6, 5, 6, 4, 4, 6, 6, 5, 2, 3, 4, 5, 5, 2, 1, 5, 6, 6, 6, 5, 6, 6, 4, 4, 5, 3, 4, 3, 4, 4, 1, 4, 5, 4, 4, 6, 4, 7, 7, 7, 3, 4, 4, 4, 4, 4, 5, 4, 3, 2, 5, 2, 5, 5, 5, 2, 6, 2, 4, 5, 5, 2, 5, 5, 9, 3, 5, 1, 7, 4, 6, 2, 7, 2, 4, 6, 4, 6, 6, 6, 5, 4, 4, 4, 4, 3, 5, 4, 6, 4, 7, 0, 4, 1, 3, 3, 5, 4, 4, 4, 4, 3, 4, 6, 4, 5, 3, 1, 3, 4, 4, 7, 4, 4, 7, 7, 4, 3, 6, 6, 6, 7, 4, 4, 7, 7, 4, 4, 5, 1, 6, 5, 3, 3, 5, 3, 5, 4, 5, 4, 7, 6, 6, 3, 4, 5, 4, 7, 3, 3, 5, 4, 4, 5, 4, 5, 3, 3, 5, 3, 4, 7, 6, 4, 4, 4, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 1, 5, 2, 7, 4, 7, 5, 6, 2, 4, 4, 4, 3, 4, 5, 5, 3, 5, 2, 5, 4, 7, 3, 5, 6, 5, 4, 5, 6, 1, 5, 4, 6, 3, 6, 6, 6, 5, 4, 6, 5, 3, 3, 4, 3, 4, 4, 7, 3, 6, 2, 5, 6, 6, 6, 5, 2, 5, 4, 7, 4, 7, 4, 4, 5, 4, 5, 3, 3, 3, 5, 4, 5, 5, 5, 4, 4, 2, 3, 3, 3, 5, 5, 4, 4, 5, 6, 4, 6, 4, 6, 4, 5, 6, 6, 1, 4, 6, 4, 7, 4, 4, 3, 6, 6, 4, 5, 1, 4, 5, 7, 2, 3, 1, 3, 3, 4, 7, 1, 2, 5, 3, 2, 3, 4, 5, 3, 5, 3, 4, 8, 6, 4, 5, 2, 4, 5, 4, 4, 7, 6, 4, 3, 4, 5, 5, 6, 2, 7, 6, 3, 2, 4, 4, 3, 3, 3, 6, 4, 5, 4, 6, 2, 5, 1 2, 4, 3, 3, 5, 3, 7, 6, 2, 4, 5, 7, 4, 2, 7, 5, 3, 7, 4, 5, 6, 5, 2, 5, 5, 5, 0, 2, 2, 4, 6, 6, 4, 6, 5, 7, 3, 4, 6, 4, 5, 1, 5, 3, 6, 3, 2, 5, 6, 2, 5, 6, 7, 5, 3, 2, 2, 4, 4, 2, 4, 5, 3, 6, 5, 3, 4, 7, 3, 5, 4, 6, 6, 5, 3, 5, 6, 1, 6, 4, 5, 4, 4, 4, 4, 7, 2, 3, 4, 2, 4, 4, 6, 4, 5, 4, 4, 7, 3, 5, 5, 3, 1, 3, 4, 5, 5, 5, 4, 5, 2, 3, 6, 4, 5, 6, 5, 6, 4, 4, 3, 6, 4, 5, 5, 3, 7, 4, 6, 3, 3, 3, 4, 4, 7, 4, 7, 5, 3, 4, 3, 4, 5, 6, 6, 6, 4, 3, 5, 6, 6, 3, 3, 6, 6, 6, 5, 6, 5, 1, 7, 5, 6, 4, 4, 4, 4, 5, 3, 3, 2, 6, 5, 6, 4, 8, 5, 3, 4, 3, 4, 4, 4, 4, 4, 1, 6, 4, 6, 4, 5, 5, 3, 3, 2, 4, 6, 5, 3, 3, 2, 3, 5, 3, 5, 4, 3, 3, 4, 5, 6, 5, 4, 4, 4, 8, 4, 4, 2, 7, 3, 3, 3, 5, 5, 6, 4, 6, 4, 3, 4, 4, 4, 4, 4, 5, 6, 5, 5, 2, 6, 4, 4, 2, 6, 5, 6, 2, 4, 5, 4, 4, 5, 4, 4, 3, 2, 6, 4, 3, 4, 4, 4, 3, 4, 6, 5, 2, 3, 5, 6, 4, 6, 2, 3, 4, 7, 5, 5, 4, 3, 6, 5, 5, 5, 4, 6, 3, 6, 6, 5, 3, 2, 6, 4, 1, 6, 4, 5, 5, 4, 4, 4, 5, 5, 5, 1, 2, 6, 5, 5, 2, 6, 5, 5, 5, 5, 7, 3, 5, 5, 5, 3, 5, 4, 5, 6, 6, 3, 0, 5, 8, 2, 3, 5, 3, 4, 6, 4, 4, 3, 4, 2, 4, 2, 4, 3, 2, 5, 3, 5, 6, 4, 3, 4, 6, 3, 3, 7, 5, 3, 3, 7, 4, 7, 4, 5, 2, 5, 4, 3, 2, 6, 7, 5, 6, 3, 4, 5, 6, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 3, 6, 4, 6, 4, 4, 5, 5, 6, 6, 6, 4, 6, 4, 5, 7, 2, 4, 4, 6, 5, 4, 3, 3, 4, 4, 2, 4, 5, 3, 4, 4, 3, 4, 3, 7, 5, 4, 5, 4, 6, 3, 4, 6, 5, 2, 5, 4, 5, 4, 7, 4, 6, 5, 2, 3, 2, 5, 5, 3, 4, 3, 4, 8, 5, 3, 5, 2, 6, 4, 2, 5, 3, 4, 3, 3, 4, 6, 3, 4, 4, 5, 6, 9, 3, 4, 5, 6, 5, 5, 7, 3, 4, 6, 4, 5, 6, 4, 4, 4, 5, 3, 4, 7, 7, 4, 6, 7, 2, 3, 1 6, 4, 5, 5, 4, 4, 6, 6, 7, 4, 4, 5, 4, 4, 4, 3, 3, 6, 4, 5, 7, 5, 6, 4, 4, 5, 4, 5, 7, 5, 6, 6, 3, 5, 6, 5, 5, 2, 7, 4, 4, 7, 4, 7, 4, 4, 3, 3, 3, 5, 5, 5, 6, 2, 3, 4, 3, 4, 5, 3, 6, 4, 5, 5, 4, 2, 4, 6, 8, 6, 7, 4, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 5, 6, 6, 3, 4, 4, 7, 2, 4, 6, 4, 6, 2, 3, 3, 5, 6, 5, 8, 8, 3, 5, 6, 6, 6, 5, 6, 3, 6, 6, 3, 5, 2, 5, 3, 4, 7, 3, 3, 4, 7, 4, 8, 3, 5, 6, 6, 7, 3, 4, 7, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 3, 5, 4, 6, 4, 6, 4, 5, 5, 4, 4, 4, 8, 5, 2, 5, 6, 6, 8, 4, 4, 8, 5, 5, 6, 5, 4, 2, 4, 3, 4, 9, 2, 4, 4, 3, 4, 4, 2, 3, 7, 7, 6, 5, 7, 5, 4, 4, 2, 5, 4, 5, 7, 4, 5, 5, 4, 4, 3, 4, 5, 6, 4, 3, 1, 5, 5, 5, 4, 6, 4, 4, 4, 6, 3, 3, 6, 6, 7, 4, 4, 6, 4, 3, 4, 3, 4, 3, 1, 4, 3, 3, 5, 5, 6, 6, 5, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 2, 4, 5, 4, 2, 5, 5, 2, 5, 2, 2, 7, 4, 5, 5, 5, 3, 5, 5, 6, 3, 4, 3, 5, 4, 2, 4, 2, 4, 5, 5, 3, 4, 4, 3, 4, 7, 3, 2, 5, 5, 4, 5, 3, 4, 3, 5, 3, 4, 5, 5, 5, 3, 5, 5, 1, 6, 4, 4, 8, 4, 5, 6, 8, 6, 3, 6, 4, 4, 2, 7, 4, 4, 7, 5, 4, 4, 5, 2, 5, 5, 3, 5, 3, 5, 2, 3, 4, 4, 3, 5, 5, 2, 2, 5, 5, 2, 4, 6, 6, 5, 4, 1, 4, 3, 3, 4, 4, 6, 4, 5, 4, 5, 4, 7, 4, 4, 2, 4, 4, 4, 4, 4, 3, 1, 2, 5, 7, 3, 0, 6, 3, 4, 8, 1, 5, 5, 4, 6, 2, 6, 3, 5, 2, 6, 6, 4, 5, 3, 3, 3, 5, 4, 6, 5, 5, 5, 5, 4, 2, 5, 3, 0, 4, 4, 6, 4, 6, 4, 6, 4, 5, 4, 3, 4, 6, 3, 3, 4, 5, 7, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 6, 6, 7, 3, 6, 6, 2, 3, 4, 7, 2, 2, 3, 5, 5, 4, 7, 5, 2, 3, 5, 3, 6, 4, 4, 5, 3, 2, 3, 4, 3, 9, 4, 6, 3, 6, 3, 5, 3, 3, 4, 6, 6, 4, 5, 2, 3, 4, 3, 6, 5, -1 8, 2, 6, 3, 7, 4, 4, 4, 7, 1, 6, 5, 6, 2, 6, 2, 4, 4, 5, 2, 5, 4, 6, 4, 4, 2, 4, 5, 5, 5, 3, 7, 3, 4, 6, 5, 5, 4, 5, 3, 4, 5, 6, 4, 7, 2, 5, 5, 1, 4, 3, 4, 6, 5, 7, 4, 3, 3, 5, 4, 5, 5, 8, 4, 4, 2, 5, 4, 2, 4, 4, 6, 5, 4, 5, 5, 5, 4, 5, 5, 7, 3, 4, 3, 5, 4, 4, 1, 5, 5, 7, 6, 6, 2, 5, 9, 7, 3, 4, 5, 7, 7, 4, 3, 3, 4, 7, 5, 6, 4, 2, 6, 7, 5, 3, 5, 5, 4, 7, 4, 4, 5, 6, 4, 5, 6, 3, 6, 5, 5, 4, 2, 4, 3, 6, 4, 4, 5, 3, 4, 4, 4, 4, 6, 2, 4, 3, 5, 5, 4, 2, 2, 4, 6, 4, 5, 3, 3, 6, 5, 8, 2, 6, 6, 3, 3, 4, 5, 4, 3, 2, 4, 3, 6, 5, 1, 5, 6, 5, 3, 5, 3, 2, 4, 3, 4, 6, 4, 3, 5, 6, 4, 3, 5, 3, 3, 5, 2, 6, 4, 7, 2, 4, 4, 4, 2, 4, 4, 4, 4, 3, 7, 6, 2, 2, 3, 5, 6, 3, 4, 4, 5, 6, 3, 6, 4, 3, 5, 3, 5, 3, 6, 5, 4, 3, 2, 6, 7, 5, 3, 3, 5, 4, 5, 6, 5, 5, 3, 4, 4, 6, 4, 4, 6, 6, 5, 4, 5, 5, 7, 6, 6, 7, 4, 3, 2, 5, 4, 3, 6, 4, 3, 6, 3, 4, 4, 7, 2, 6, 3, 5, 6, 6, 4, 6, 5, 5, 4, 4, 6, 7, 5, 7, 5, 5, 3, 5, 6, 5, 6, 4, 6, 4, 3, 5, 5, 4, 6, 2, 6, 4, 7, 3, 5, 4, 3, 2, 4, 5, 6, 4, 5, 5, 3, 4, 5, 5, 8, 5, 6, 4, 4, 5, 6, 3, 4, 3, 6, 2, 6, 3, 4, 2, 4, 6, 4, 2, 4, 5, 5, 6, 3, 5, 6, 4, 4, 6, 2, 6, 5, 4, 8, 6, 6, 5, 4, 8, 3, 2, 5, 4, 5, 7, 5, 4, 5, 5, 2, 2, 3, 3, 7, 3, 5, 4, 2, 2, 3, 4, 5, 5, 5, 3, 6, 4, 4, 4, 5, 3, 2, 2, 6, 5, 5, 3, 4, 4, 3, 4, 6, 6, 3, 3, 4, 6, 4, 2, 3, 6, 7, 4, 4, 0, 2, 5, 4, 7, 6, 4, 4, 5, 3, 6, 6, 5, 3, 7, 5, 6, 6, 7, 5, 4, 4, 6, 5, 4, 5, 5, 7, 4, 5, 5, 6, 3, 4, 4, 4, 5, 6, 5, 2, 3, 1, 6, 3, 3, 2, 6, 3, 6, 4, 4, 4, 7, 5, 6, 4, 4, 4, 2, 4, 6, 4, 7, 2, 7, 4, 4, 1, 6, 3, 5, 5, 3, 7, 5, 6, 2, 4, 1 4, 4, 5, 4, 1, 1, 5, 4, 4, 4, 6, 5, 6, 4, 5, 4, 4, 6, 5, 6, 5, 4, 4, 5, 4, 4, 7, 4, 3, 6, 5, 3, 2, 4, 6, 6, 4, 5, 4, 3, 6, 3, 4, 5, 4, 3, 4, 6, 6, 5, 9, 2, 3, 3, 4, 5, 7, 5, 5, 3, 4, 4, 5, 2, 5, 4, 2, 3, 1, 3, 6, 7, 6, 6, 6, 4, 5, 5, 6, 3, 4, 4, 4, 4, 2, 4, 5, 3, 4, 7, 7, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 6, 2, 3, 4, 6, 5, 7, 7, 4, 5, 5, 6, 4, 4, 4, 5, 5, 3, 3, 5, 4, 4, 8, 7, 3, 6, 5, 5, 4, 3, 6, 7, 7, 5, 5, 3, 4, 7, 3, 2, 6, 2, 6, 6, 2, 4, 6, 4, 4, 6, 5, 6, 7, 5, 6, 5, 6, 3, 7, 4, 5, 4, 4, 5, 7, 4, 7, 2, 2, 3, 4, 4, 8, 6, 4, 5, 6, 5, 6, 4, 3, 5, 4, 6, 5, 6, 5, 3, 4, 3, 3, 4, 4, 3, 4, 3, 6, 3, 5, 6, 6, 6, 2, 5, 4, 4, 6, 5, 5, 8, 3, 6, 5, 4, 3, 2, 4, 7, 4, 4, 2, 4, 4, 7, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 8, 6, 5, 5, 6, 4, 6, 4, 5, 4, 4, 3, 6, 3, 5, 5, 4, 3, 4, 6, 5, 1, 3, 5, 1, 4, 3, 1, 8, 4, 3, 3, 5, 4, 6, 6, 2, 4, 3, 4, 4, 3, 3, 5, 6, 3, 4, 3, 3, 7, 5, 2, 6, 5, 6, 5, 4, 5, 4, 4, 6, 3, 7, 6, 4, 4, 4, 3, 6, 5, 5, 4, 5, 2, 4, 3, 4, 6, 6, 5, 6, 3, 5, 7, 5, 1, 5, 5, 2, 2, 5, 6, 2, 5, 6, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 0, 4, 6, 4, 3, 4, 4, 5, 5, 6, 4, 4, 7, 5, 6, 4, 6, 2, 5, 4, 5, 5, 6, 4, 5, 7, 4, 5, 6, 5, 5, 5, 6, 2, 3, 7, 5, 3, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 1, 5, 5, 7, 6, 3, 6, 3, 5, 3, 5, 6, 6, 7, 5, 6, 4, 1, 4, 4, 2, 2, 7, 6, 4, 3, 2, 2, 5, 2, 7, 4, 3, 2, 5, 3, 5, 6, 2, 6, 9, 4, 5, 6, 5, 5, 4, 5, 4, 6, 5, 4, 5, 2, 5, 8, 2, 3, 6, 5, 5, 6, 0, 4, 4, 5, 3, 5, 4, 4, 2, 6, 5, 4, 4, 5, 2, 3, 3, 3, 5, 5, 5, 7, 4, 3, 6, 3, 6, 4, 5, 3, 4, 5, 5, 7, 5, 3, 6, 4, 6, 5, 4, 4, 4, 4, 1 4, 3, 5, 5, 4, 3, 6, 8, 4, 2, 5, 6, 7, 5, 4, 4, 5, 4, 3, 4, 8, 7, 3, 5, 5, 4, 1, 4, 2, 3, 5, 4, 4, 5, 6, 4, 6, 5, 5, 4, 3, 5, 5, 4, 6, 4, 4, 5, 2, 3, 3, 5, 3, 5, 6, 7, 5, 3, 4, 3, 5, 2, 5, 2, 6, 3, 5, 5, 7, 3, 5, 8, 3, 5, 5, 7, 2, 4, 5, 5, 3, 2, 4, 2, 4, 6, 3, 4, 3, 4, 7, 4, 3, 5, 4, 6, 6, 3, 5, 5, 4, 4, 5, 5, 5, 1, 8, 4, 5, 6, 6, 3, 3, 7, 5, 5, 3, 4, 4, 6, 6, 5, 6, 4, 5, 4, 7, 6, 1, 6, 5, 3, 8, 5, 5, 5, 6, 1, 5, 7, 2, 5, 6, 4, 4, 3, 4, 2, 6, 4, 4, 6, 7, 3, 5, 2, 5, 3, 4, 2, 7, 2, 5, 6, 7, 4, 6, 4, 4, 2, 5, 3, 5, 4, 6, 6, 6, 5, 6, 3, 6, 5, 4, 7, 6, 4, 6, 3, 6, 4, 7, 4, 3, 3, 4, 5, 3, 5, 7, 3, 7, 3, 4, 3, 4, 5, 4, 4, 4, 5, 2, 6, 3, 5, 6, 4, 7, 6, 6, 2, 6, 5, 4, 4, 5, 4, 5, 4, 6, 4, 5, 4, 6, 6, 3, 5, 4, 4, 7, 5, 5, 3, 2, 7, 7, 5, 6, 2, 4, 4, 6, 5, 5, 6, 5, 3, 1, 6, 3, 5, 4, 3, 7, 3, 3, 4, 5, 3, 2, 1, 4, 2, 5, 4, 3, 6, 7, 4, 6, 2, 5, 3, 5, 1, 2, 7, 6, 4, 0, 4, 4, 5, 3, 6, 3, 4, 6, 2, 5, 3, 6, 9, 2, 6, 4, 6, 4, 6, 3, 6, 5, 5, 3, 3, 3, 4, 7, 3, 2, 7, 6, 9, 3, 4, 4, 3, 5, 4, 6, 3, 4, 2, 5, 4, 7, 4, 6, 3, 8, 3, 7, 5, 5, 5, 2, 6, 4, 6, 2, 4, 6, 5, 4, 7, 5, 6, 3, 6, 5, 4, 5, 3, 4, 4, 5, 5, 6, 4, 6, 4, 3, 5, 3, 7, 6, 6, 5, 5, 2, 3, 3, 3, 3, 3, 5, 3, 4, 3, 8, 5, 4, 5, 5, 3, 6, 4, 6, 4, 3, 5, 3, 5, 6, 7, 5, 4, 5, 3, 6, 6, 6, 4, 4, 4, 3, 3, 5, 6, 3, 3, 5, 6, 3, 7, 3, 5, 3, 5, 5, 7, 6, 6, 5, 3, 8, 4, 5, 7, 6, 6, 8, 7, 7, 6, 2, 4, 5, 5, 5, 3, 3, 1, 3, 4, 6, 6, 2, 7, 4, 5, 6, 7, 4, 5, 7, 5, 4, 4, 5, 5, 4, 6, 7, 4, 2, 3, 7, 5, 4, 6, 4, 2, 3, 4, 5, 5, 4, 6, 0, 7, 4, 3, 5, 3, 5, 3, 5, 4, 6, 3, 1 7, 3, 5, 7, 4, 5, 7, 5, 5, 3, 4, 5, 3, 3, 6, 8, 4, 5, 4, 5, 6, 3, 4, 6, 1, 4, 2, 4, 4, 6, 7, 0, 3, 5, 4, 4, 4, 2, 3, 2, 6, 2, 6, 7, 3, 4, 6, 5, 5, 6, 7, 2, 6, 3, 2, 2, 5, 4, 2, 3, 6, 6, 4, 4, 5, 5, 3, 5, 4, 2, 4, 7, 3, 5, 5, 3, 4, 4, 5, 5, 5, 7, 3, 6, 3, 4, 4, 4, 5, 4, 2, 2, 3, 7, 7, 0, 3, 5, 5, 6, 6, 1, 3, 4, 5, 6, 8, 6, 5, 2, 3, 4, 7, 4, 5, 3, 3, 1, 3, 4, 4, 4, 3, 2, 4, 5, 3, 5, 6, 6, 6, 3, 5, 4, 9, 2, 4, 4, 6, 0, 3, 3, 5, 5, 5, 5, 5, 4, 2, 3, 6, 4, 4, 6, 5, 3, 5, 4, 6, 5, 4, 4, 6, 6, 2, 4, 5, 7, 3, 4, 3, 3, 4, 7, 5, 5, 5, 2, 5, 4, 2, 6, 3, 5, 4, 5, 3, 4, 7, 5, 4, 1, 5, 2, 4, 5, 4, 3, 4, 3, 6, 6, 4, 5, 5, 6, 6, 3, 6, 4, 5, 5, 4, 2, 3, 5, 5, 4, 7, 7, 4, 4, 7, 3, 6, 4, 5, 6, 4, 4, 5, 4, 6, 3, 3, 4, 6, 3, 7, 5, 6, 3, 3, 6, 4, 4, 4, 4, 3, 3, 2, 6, 4, 4, 3, 4, 3, 5, 4, 6, 2, 3, 5, 5, 2, 3, 6, 5, 4, 3, 5, 5, 5, 2, 5, 7, 4, 3, 5, 6, 1, 6, 5, 4, 5, 4, 6, 6, 2, 6, 7, 7, 5, 6, 3, 6, 5, 4, 3, 4, 3, 3, 3, 5, 5, 7, 5, 5, 2, 7, 3, 5, 5, 6, 4, 4, 7, 4, 4, 5, 5, 7, 7, 5, 6, 2, 5, 4, 6, 5, 2, 6, 4, 4, 6, 3, 4, 5, 3, 6, 3, 1, 4, 3, 3, 4, 4, 4, 2, 4, 5, 3, 5, 4, 5, 5, 4, 5, 6, 6, 5, 5, 6, 3, 3, 2, 7, 3, 6, 4, 2, 5, 4, 5, 4, 3, 3, 3, 4, 2, 5, 1, 3, 3, 4, 5, 4, 5, 5, 3, 5, 6, 4, 3, 5, 2, 4, 7, 4, 5, 4, 5, 5, 4, 7, 7, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 3, 6, 4, 4, 5, 3, 2, 5, 6, 5, 3, 4, 6, 3, 5, 4, 4, 3, 5, 3, 3, 6, 7, 6, 8, 5, 2, 3, 2, 6, 4, 4, 8, 4, 2, 2, 4, 6, 4, 4, 2, 4, 7, 3, 3, 4, 4, 4, 3, 6, 3, 6, 4, 5, 3, 0, 4, 4, 5, 5, 3, 4, 2, 5, 4, 4, 4, 4, 3, 5, 3, 3, 7, 4, 5, 3, 6, 6, 6, 1 4, 5, 6, 6, 2, 5, 4, 6, 3, 3, 6, 4, 6, 3, 3, 3, 6, 3, 2, 4, 8, 3, 3, 6, 4, 3, 5, 7, 7, 4, 5, 3, 4, 6, 4, 6, 6, 4, 5, 1, 3, 7, 2, 2, 3, 6, 4, 3, 7, 6, 7, 4, 5, 5, 5, 3, 4, 5, 2, 2, 7, 4, 4, 2, 7, 3, 5, 6, 6, 4, 4, 7, 4, 3, 4, 2, 4, 3, 5, 4, 4, 4, 3, 3, 7, 7, 3, 3, 4, 4, 4, 6, 6, 5, 6, 5, 6, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 3, 2, 5, 3, 5, 6, 4, 5, 7, 4, 4, 5, 5, 4, 6, 3, 6, 4, 6, 6, 5, 6, 4, 5, 2, 6, 4, 3, 3, 4, 8, 3, 4, 2, 5, 4, 5, 3, 4, 3, 4, 5, 7, 4, 4, 5, 6, 7, 4, 4, 4, 3, 5, 3, 6, 6, 5, 6, 2, 4, 4, 6, 4, 4, 5, 4, 4, 5, 6, 6, 3, 4, 3, 4, 2, 3, 6, 6, 3, 6, 5, 4, 5, 7, 4, 3, 7, 3, 6, 4, 4, 4, 4, 5, 3, 5, 4, 6, 3, 6, 4, 5, 6, 5, 3, 5, 5, 5, 4, 5, 4, 6, 4, 4, 2, 5, 5, 6, 3, 5, 5, 4, 4, 7, 6, 7, 3, 4, 3, 5, 3, 6, 5, 5, 3, 5, 5, 5, 2, 3, 6, 5, 5, 3, 8, 5, 2, 2, 1, 4, 6, 7, 4, 7, 5, 6, 3, 2, 6, 7, 5, 1, 4, 3, 3, 6, 2, 6, 4, 4, 4, 5, 6, 2, 6, 1, 2, 3, 6, 6, 4, 5, 4, 7, 2, 2, 6, 2, 5, 4, 4, 5, 5, 6, 4, 6, 4, 6, 3, 4, 5, 4, 4, 5, 4, 3, 6, 3, 5, 3, 6, 8, 2, 4, 4, 2, 6, 6, 5, 4, 4, 5, 4, 3, 6, 2, 3, 4, 4, 7, 2, 3, 5, 4, 4, 5, 4, 5, 4, 7, 1, 3, 3, 4, 3, 4, 5, 5, 2, 5, 6, 2, 4, 2, 6, 4, 5, 4, 5, 5, 6, 3, 2, 4, 4, 4, 5, 6, 6, 4, 4, 7, 4, 4, 2, 2, 4, 4, 3, 3, 2, 3, 6, 4, 3, 7, 4, 2, 5, 4, 4, 7, 4, 4, 2, 3, 4, 5, 4, 4, 4, 2, 4, 4, 3, 4, 6, 4, 4, 4, 5, 3, 4, 4, 6, 4, 2, 3, 3, 5, 4, 6, 5, 5, 3, 3, 6, 7, 4, 7, 4, 5, 5, 5, 8, 3, 5, 3, 6, 5, 3, 4, 6, 4, 7, 6, 6, 1, 6, 3, 6, 5, 5, 6, 6, 4, 4, 5, 5, 2, 3, 6, 6, 4, 5, 2, 4, 5, 3, 4, 3, 3, 4, 6, 5, 3, 4, 6, 2, 6, 5, 3, 4, 4, 3, 2, 5, 5, 5, 3, 7, 4, 6, -1 4, 5, 4, 5, 3, 6, 5, 4, 3, 6, 6, 3, 3, 6, 5, 5, 5, 4, 5, 6, 6, 5, 6, 4, 3, 3, 5, 3, 6, 7, 6, 6, 3, 5, 7, 7, 3, 4, 5, 0, 3, 4, 5, 2, 4, 6, 4, 6, 3, 5, 5, 4, 2, 2, 5, 6, 5, 1, 4, 5, 4, 2, 4, 6, 8, 4, 4, 5, 5, 5, 4, 5, 2, 4, 4, 5, 3, 5, 7, 5, 4, 4, 3, 3, 4, 7, 4, 4, 5, 2, 4, 6, 5, 8, 8, 5, 5, 7, 2, 4, 4, 5, 6, 1, 2, 3, 5, 3, 3, 5, 5, 3, 5, 6, 2, 3, 4, 5, 5, 3, 4, 5, 5, 2, 6, 4, 5, 7, 3, 4, 5, 5, 6, 1, 4, 5, 8, 4, 6, 6, 4, 6, 4, 5, 3, 5, 4, 3, 4, 3, 6, 6, 6, 7, 6, 3, 5, 5, 5, 5, 4, 2, 3, 4, 3, 3, 5, 3, 3, 4, 6, 4, 6, 4, 5, 6, 6, 5, 5, 3, 5, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 7, 3, 5, 5, 5, 7, 5, 3, 4, 4, 6, 4, 2, 4, 2, 5, 4, 4, 4, 2, 5, 5, 7, 5, 4, 4, 5, 6, 4, 6, 4, 5, 4, 1, 4, 5, 7, 4, 6, 3, 6, 5, 5, 1, 4, 3, 3, 6, 4, 3, 4, 7, 5, 6, 3, 5, 4, 4, 4, 7, 4, 3, 6, 2, 6, 5, 6, 4, 4, 3, 4, 3, 3, 5, 8, 2, 4, 4, 7, 2, 6, 5, 2, 6, 6, 5, 4, 4, 6, 2, 5, 3, 7, 6, 4, 3, 2, 5, 6, 3, 5, 4, 4, 2, 5, 4, 9, 5, 3, 3, 3, 5, 2, 5, 5, 3, 7, 5, 3, 6, 6, 5, 5, 7, 5, 4, 3, 6, 4, 4, 6, 1, 5, 7, 5, 4, 2, 4, 8, 4, 5, 8, 2, 6, 3, 5, 3, 6, 4, 5, 2, 3, 5, 6, 4, 3, 5, 3, 3, 7, 5, 4, 6, 4, 4, 4, 4, 6, 7, 3, 5, 4, 2, 3, 7, 5, 2, 5, 6, 3, 3, 4, 0, 5, 2, 2, 3, 3, 4, 4, 5, 1, 6, 4, 4, 4, 3, 6, 3, 4, 2, 3, 4, 2, 4, 5, 3, 5, 2, 4, 2, 6, 4, 5, 4, 5, 3, 2, 4, 5, 6, 6, 4, 3, 1, 4, 6, 4, 4, 5, 4, 4, 3, 3, 5, 7, 3, 2, 4, 5, 5, 6, 6, 5, 4, 7, 5, 8, 5, 5, 5, 5, 5, 6, 4, 6, 5, 6, 5, 2, 5, 5, 5, 2, 4, 5, 4, 2, 5, 6, 3, 3, 1, 4, 4, 4, 4, 1, 4, 4, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 6, 4, 7, 4, 7, 6, 5, 4, 4, 3, 5, 6, -1 5, 2, 4, 4, 4, 2, 4, 5, 3, 5, 4, 2, 3, 5, 4, 4, 4, 5, 6, 6, 4, 4, 3, 5, 1, 4, 6, 5, 2, 5, 5, 4, 3, 1, 5, 3, 4, 6, 3, 3, 4, 5, 3, 9, 3, 4, 4, 5, 2, 6, 4, 7, 2, 3, 1, 5, 5, 4, 5, 4, 4, 7, 3, 4, 7, 5, 4, 5, 4, 4, 1, 5, 7, 4, 5, 4, 3, 6, 5, 3, 4, 3, 4, 6, 6, 3, 5, 4, 6, 4, 7, 5, 4, 7, 1, 5, 2, 4, 4, 6, 5, 5, 4, 4, 5, 1, 5, 5, 6, 5, 5, 6, 6, 6, 4, 6, 5, 4, 7, 2, 3, 4, 4, 5, 6, 8, 6, 4, 2, 5, 4, 4, 4, 6, 6, 5, 4, 4, 6, 5, 4, 3, 4, 3, 4, 3, 4, 4, 2, 6, 6, 5, 5, 7, 3, 4, 4, 4, 3, 6, 3, 5, 3, 3, 4, 4, 5, 7, 3, 5, 5, 5, 3, 4, 4, 5, 6, 5, 3, 5, 6, 4, 3, 3, 3, 7, 7, 4, 6, 6, 5, 4, 4, 2, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 4, 3, 3, 4, 3, 2, 6, 3, 3, 4, 5, 4, 5, 6, 5, 3, 4, 4, 3, 5, 6, 4, 5, 3, 5, 6, 3, 6, 3, 3, 3, 6, 0, 3, 6, 4, 3, 3, 5, 5, 3, 5, 4, 5, 5, 6, 4, 3, 5, 6, 3, 5, 3, 3, 5, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 4, 2, 5, 8, 3, 4, 4, 6, 8, 6, 4, 6, 4, 2, 5, 6, 5, 4, 4, 3, 5, 2, 4, 4, 4, 4, 6, 4, 1, 4, 5, 5, 5, 5, 3, 5, 6, 5, 5, 5, 5, 3, 5, 4, 5, 3, 5, 3, 2, 5, 2, 4, 3, 4, 2, 4, 5, 4, 6, 5, 5, 7, 2, 4, 3, 9, 7, 6, 6, 2, 6, 6, 9, 4, 3, 4, 4, 4, 2, 5, 3, 3, 3, 4, 4, 7, 4, 3, 1, 4, 2, 3, 4, 2, 8, 3, 3, 3, 4, 6, 4, 6, 5, 6, 4, 4, 4, 4, 2, 4, 5, 4, 2, 5, 5, 3, 4, 2, 6, 2, 4, 5, 4, 5, 1, 6, 4, 4, 5, 5, 5, 6, 7, 1, 5, 6, 5, 6, 5, 6, 4, 4, 6, 7, 4, 3, 6, 5, 6, 3, 6, 6, 6, 4, 2, 5, 6, 4, 5, 5, 5, 3, 4, 7, 6, 4, 5, 5, 4, 5, 5, 2, 5, 3, 4, 0, 6, 3, 5, 5, 5, 2, 6, 6, 3, 7, 6, 5, 5, 5, 3, 3, 4, 6, 3, 6, 5, 4, 5, 4, 5, 3, 6, 4, 4, 2, 5, 6, 4, 3, 4, 2, 5, 4, 3, 5, 3, 5, 2, 4, 3, 3, 4, 5, 3, 3, 4, 6, 2, 5, -1 6, 5, 3, 3, 2, 5, 5, 6, 6, 7, 4, 5, 7, 3, 4, 6, 6, 6, 4, 3, 7, 6, 2, 4, 9, 4, 1, 4, 7, 4, 6, 4, 4, 6, 4, 6, 4, 5, 5, 6, 4, 2, 5, 6, 4, 4, 4, 6, 5, 2, 5, 6, 5, 2, 2, 5, 3, 4, 3, 6, 3, 3, 5, 5, 6, 8, 4, 6, 3, 5, 3, 6, 3, 2, 3, 5, 5, 4, 5, 5, 6, 2, 3, 4, 4, 7, 4, 5, 4, 7, 4, 3, 5, 4, 4, 6, 6, 4, 3, 4, 4, 8, 5, 2, 3, 5, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 6, 4, 6, 4, 5, 6, 4, 7, 4, 3, 5, 6, 5, 6, 4, 5, 5, 3, 4, 5, 4, 4, 4, 6, 5, 3, 3, 4, 4, 5, 4, 5, 3, 7, 4, 4, 6, 2, 4, 4, 4, 5, 5, 4, 2, 7, 5, 4, 2, 3, 8, 4, 6, 6, 2, 6, 3, 6, 4, 5, 6, 6, 3, 5, 4, 4, 4, 5, 2, 4, 4, 6, 4, 4, 7, 7, 6, 4, 4, 5, 6, 7, 3, 4, 5, 3, 8, 3, 3, 4, 4, 4, 5, 6, 4, 4, 4, 3, 2, 3, 2, 4, 5, 4, 3, 5, 2, 5, 6, 5, 6, 6, 6, 3, 6, 6, 3, 7, 4, 7, 5, 5, 5, 3, 2, 6, 7, 5, 4, 6, 4, 4, 2, 6, 5, 4, 2, 3, 2, 3, 4, 5, 5, 6, 4, 7, 4, 4, 6, 5, 4, 3, 3, 2, 5, 7, 6, 2, 7, 4, 3, 5, 2, 2, 6, 8, 5, 3, 3, 5, 4, 4, 6, 6, 5, 6, 5, 5, 6, 6, 8, 5, 3, 4, 6, 2, 2, 2, 4, 4, 6, 4, 6, 3, 4, 5, 6, 6, 4, 8, 6, 7, 6, 3, 2, 5, 5, 6, 4, 5, 5, 3, 3, 5, 4, 7, 6, 5, 4, 6, 5, 4, 4, 7, 3, 4, 3, 5, 7, 5, 3, 3, 5, 6, 5, 7, 5, 4, 6, 5, 5, 4, 5, 6, 6, 5, 2, 5, 4, 6, 6, 4, 7, 3, 6, 5, 5, 4, 5, 1, 4, 5, 5, 4, 2, 4, 4, 4, 4, 2, 4, 5, 4, 4, 5, 4, 3, 4, 2, 4, 6, 5, 7, 4, 5, 5, 3, 5, 6, 6, 4, 6, 6, 5, 4, 3, 6, 3, 5, 2, 6, 4, 1, 4, 6, 4, 4, 3, 4, 5, 3, 5, 3, 6, 3, 6, 6, 2, 4, 3, 5, 7, 6, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 6, 6, 5, 7, 4, 3, 2, 2, 6, 6, 6, 5, 2, 7, 6, 4, 5, 3, 6, 6, 5, 4, 4, 3, 5, 2, 6, 5, 5, 3, 5, 1, 2, 6, 5, 5, 6, 4, 3, 4, 5, 2, 2, 7, 6, 5, 6, 4, 4, 5, -1 5, 2, 8, 1, 4, 5, 5, 4, 5, 4, 4, 2, 5, 6, 4, 6, 5, 7, 6, 6, 7, 5, 3, 7, 3, 3, 5, 3, 5, 5, 4, 3, 6, 4, 4, 3, 2, 3, 4, 4, 6, 5, 4, 3, 3, 6, 4, 7, 2, 7, 6, 4, 4, 3, 6, 5, 4, 5, 5, 4, 3, 3, 3, 2, 6, 5, 2, 4, 4, 6, 4, 7, 3, 3, 9, 6, 4, 4, 4, 5, 3, 2, 3, 7, 5, 9, 5, 3, 4, 5, 4, 6, 5, 5, 4, 5, 7, 3, 4, 3, 4, 5, 7, 5, 3, 4, 4, 7, 6, 5, 2, 4, 3, 4, 3, 5, 5, 2, 4, 6, 5, 5, 4, 4, 5, 4, 5, 4, 4, 2, 6, 3, 4, 4, 4, 3, 2, 1, 3, 3, 4, 4, 5, 2, 6, 4, 5, 5, 6, 7, 5, 3, 5, 7, 3, 3, 8, 6, 3, 4, 5, 6, 6, 6, 1, 2, 6, 7, 6, 6, 5, 7, 5, 3, 6, 4, 7, 4, 4, 3, 7, 3, 6, 2, 6, 5, 3, 6, 6, 6, 6, 4, 4, 4, 6, 5, 6, 3, 5, 3, 4, 4, 2, 3, 4, 4, 5, 3, 4, 7, 5, 5, 4, 6, 5, 5, 4, 4, 4, 6, 4, 3, 2, 7, 4, 4, 4, 5, 6, 6, 4, 4, 3, 6, 4, 3, 6, 5, 5, 7, 3, 3, 5, 4, 6, 3, 7, 3, 2, 5, 5, 4, 5, 2, 3, 2, 3, 3, 4, 2, 5, 5, 5, 6, 4, 5, 6, 4, 3, 5, 6, 5, 5, 2, 4, 5, 7, 5, 5, 5, 4, 7, 2, 4, 4, 3, 4, 4, 4, 4, 4, 6, 3, 5, 4, 5, 5, 4, 6, 6, 4, 5, 7, 3, 5, 2, 4, 4, 4, 5, 7, 7, 4, 3, 7, 3, 5, 1, 5, 5, 1, 4, 4, 4, 4, 4, 3, 3, 3, 5, 6, 2, 5, 6, 6, 5, 6, 4, 4, 3, 3, 5, 4, 4, 1, 3, 3, 2, 5, 4, 5, 7, 5, 6, 4, 5, 4, 0, 2, 3, 6, 5, 3, 4, 4, 6, 4, 5, 4, 2, 3, 4, 4, 6, 5, 5, 4, 5, 2, 3, 3, 6, 5, 4, 6, 4, 2, 4, 4, 4, 4, 2, 4, 8, 3, 5, 5, 2, 4, 4, 6, 4, 6, 4, 3, 5, 3, 5, 4, 8, 3, 4, 5, 6, 5, 4, 4, 1, 1, 5, 5, 5, 4, 4, 3, 5, 6, 6, 5, 4, 6, 3, 5, 7, 4, 8, 3, 6, 7, 3, 4, 2, 4, 3, 5, 3, 4, 4, 4, 7, 5, 5, 3, 6, 3, 5, 4, 6, 4, 5, 4, 4, 4, 5, 4, 2, 4, 8, 6, 5, 4, 3, 4, 5, 4, 3, 5, 5, 3, 5, 3, 2, 5, 4, 4, 5, 7, 3, 5, 5, 3, 4, 8, 6, 2, 3, 3, 3, 6, 3, -1 1, 5, 6, 5, 4, 5, 1, 3, 2, 4, 5, 4, 4, 4, 3, 3, 4, 8, 2, 5, 4, 5, 5, 4, 5, 4, 3, 6, 5, 7, 5, 4, 6, 4, 5, 2, 7, 6, 6, 5, 4, 5, 4, 3, 4, 6, 7, 3, 7, 7, 6, 3, 5, 6, 4, 5, 6, 3, 3, 6, 3, 5, 8, 6, 5, 4, 2, 5, 8, 5, 5, 3, 0, 5, 4, 5, 5, 4, 5, 1, 4, 4, 2, 3, 4, 3, 3, 3, 5, 3, 2, 4, 4, 3, 5, 3, 5, 2, 5, 6, 8, 4, 3, 7, 1, 6, 5, 4, 5, 6, 2, 4, 6, 5, 5, 4, 3, 3, 3, 3, 3, 5, 5, 4, 4, 6, 5, 6, 7, 6, 5, 4, 7, 4, 5, 3, 3, 4, 4, 5, 3, 7, 2, 3, 4, 4, 4, 4, 8, 6, 5, 4, 4, 6, 6, 7, 5, 7, 7, 3, 4, 4, 7, 2, 6, 1, 6, 3, 4, 4, 4, 4, 5, 4, 5, 7, 4, 7, 5, 7, 5, 5, 6, 2, 4, 6, 6, 4, 4, 4, 7, 4, 3, 3, 0, 4, 4, 4, 5, 4, 5, 3, 6, 6, 3, 4, 3, 5, 2, 5, 4, 4, 5, 7, 5, 4, 4, 3, 3, 6, 4, 3, 7, 4, 4, 3, 8, 5, 6, 4, 5, 6, 4, 5, 5, 6, 4, 6, 5, 3, 4, 4, 3, 5, 7, 5, 3, 6, 4, 4, 5, 2, 4, 5, 4, 3, 5, 4, 4, 4, 3, 2, 3, 3, 4, 3, 3, 5, 3, 4, 4, 5, 6, 2, 4, 7, 2, 4, 5, 7, 6, 6, 6, 7, 5, 5, 8, 4, 4, 5, 6, 4, 6, 4, 3, 8, 4, 4, 3, 4, 5, 4, 4, 2, 8, 7, 4, 4, 3, 5, 4, 5, 5, 6, 6, 6, 5, 6, 5, 7, 5, 5, 6, 4, 8, 3, 4, 5, 4, 4, 4, 5, 2, 5, 4, 4, 4, 6, 3, 5, 4, 5, 4, 1, 3, 4, 6, 5, 3, 4, 6, 5, 6, 3, 4, 7, 4, 1, 5, 5, 5, 2, 7, 4, 6, 6, 5, 4, 4, 6, 2, 4, 5, 3, 3, 6, 6, 4, 7, 3, 4, 5, 3, 3, 5, 4, 4, 5, 7, 4, 5, 5, 4, 5, 6, 5, 3, 6, 6, 4, 5, 6, 4, 6, 3, 2, 8, 5, 2, 7, 4, 4, 6, 5, 5, 3, 4, 6, 6, 2, 5, 5, 3, 4, 4, 6, 6, 6, 5, 4, 5, 4, 5, 6, 4, 4, 5, 4, 5, 7, 5, 6, 4, 4, 4, 3, 1, 4, 5, 3, 6, 5, 5, 7, 6, 3, 4, 8, 6, 5, 7, 5, 5, 3, 3, 4, 2, 4, 2, 2, 3, 3, 4, 4, 4, 4, 5, 7, 3, 3, 5, 3, 4, 3, 1, 4, 2, 6, 2, 2, 5, 4, 5, 6, 5, 5, 5, 3, 6, 2, -1 6, 3, 5, 6, 2, 2, 6, 5, 3, 2, 5, 5, 5, 5, 6, 3, 7, 5, 4, 5, 5, 7, 5, 6, 4, 7, 3, 4, 3, 5, 6, 8, 2, 4, 7, 6, 3, 3, 4, 4, 5, 2, 3, 4, 5, 2, 2, 7, 5, 6, 5, 6, 4, 5, 4, 4, 4, 4, 1, 5, 5, 5, 3, 5, 6, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 6, 3, 4, 4, 6, 5, 1, 5, 2, 4, 5, 4, 6, 5, 6, 2, 6, 4, 4, 4, 6, 3, 5, 5, 4, 4, 4, 4, 4, 2, 3, 5, 5, 3, 5, 3, 6, 6, 6, 6, 4, 6, 7, 5, 7, 2, 5, 4, 4, 5, 7, 5, 7, 3, 4, 3, 4, 5, 4, 3, 6, 4, 4, 6, 5, 3, 2, 3, 3, 3, 4, 6, 5, 3, 6, 5, 4, 5, 3, 4, 5, 5, 6, 5, 6, 5, 3, 5, 5, 4, 2, 6, 3, 4, 3, 2, 4, 5, 3, 2, 4, 5, 4, 6, 6, 4, 4, 2, 5, 2, 3, 3, 7, 7, 5, 6, 3, 4, 5, 4, 4, 3, 5, 5, 3, 5, 6, 3, 5, 3, 4, 4, 5, 5, 4, 6, 5, 6, 3, 3, 4, 2, 5, 5, 5, 5, 3, 3, 6, 5, 4, 6, 5, 4, 4, 5, 6, 1, 4, 6, 4, 4, 5, 4, 6, 7, 5, 4, 3, 5, 4, 6, 4, 2, 4, 5, 5, 1, 6, 6, 6, 3, 5, 4, 3, 5, 6, 3, 3, 5, 4, 5, 1, 6, 4, 6, 3, 6, 2, 6, 5, 4, 2, 6, 2, 3, 3, 3, 3, 5, 4, 6, 5, 3, 6, 5, 5, 6, 1, 7, 4, 5, 4, 5, 6, 5, 6, 6, 4, 4, 1, 5, 7, 4, 6, 4, 5, 5, 2, 7, 3, 5, 4, 3, 3, 6, 4, 3, 5, 5, 4, 6, 3, 4, 5, 3, 5, 2, 5, 1, 5, 5, 4, 6, 3, 4, 5, 2, 5, 4, 6, 2, 3, 5, 4, 4, 6, 5, 5, 6, 3, 7, 0, 6, 5, 4, 5, 4, 2, 5, 4, 5, 4, 5, 5, 4, 4, 6, 6, 4, 4, 2, 4, 4, 4, 2, 1, 4, 7, 3, 6, 4, 2, 6, 3, 6, 4, 3, 1, 4, 7, 3, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 4, 7, 4, 3, 4, 5, 3, 4, 3, 4, 6, 4, 5, 3, 5, 2, 2, 3, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 6, 4, 4, 2, 2, 5, 6, 4, 5, 4, 7, 3, 2, 3, 2, 7, 3, 2, 6, 5, 3, 4, 4, 6, 3, 4, 2, 5, 6, 5, 2, 5, 4, 4, 6, 5, 2, 2, 1, 2, 5, 4, 3, 4, 5, 4, 5, 7, 2, 6, 5, 4, 4, 2, 6, 6, 4, 5, 7, 6, -1 4, 4, 4, 4, 6, 2, 2, 5, 5, 5, 3, 4, 7, 2, 5, 6, 4, 7, 3, 5, 6, 5, 6, 5, 8, 3, 5, 5, 7, 9, 5, 3, 4, 4, 3, 3, 2, 2, 5, 6, 6, 3, 5, 5, 5, 4, 4, 5, 7, 6, 5, 4, 3, 2, 5, 5, 4, 4, 4, 4, 4, 6, 3, 3, 8, 3, 4, 5, 4, 5, 5, 5, 5, 6, 6, 3, 5, 7, 4, 3, 5, 4, 3, 5, 3, 3, 5, 6, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 8, 3, 4, 6, 4, 5, 5, 4, 4, 5, 5, 6, 5, 2, 5, 6, 2, 5, 5, 3, 7, 6, 5, 4, 4, 4, 8, 4, 4, 2, 4, 5, 7, 3, 4, 5, 6, 4, 7, 7, 6, 5, 3, 3, 3, 2, 5, 5, 8, 5, 5, 6, 3, 8, 6, 4, 4, 5, 5, 6, 4, 4, 5, 4, 2, 5, 5, 4, 5, 3, 7, 6, 3, 4, 5, 5, 7, 2, 5, 4, 2, 5, 7, 6, 6, 4, 3, 4, 5, 4, 2, 3, 4, 6, 4, 3, 3, 3, 3, 6, 3, 7, 4, 5, 5, 4, 5, 1, 4, 3, 5, 5, 4, 3, 3, 3, 4, 4, 7, 5, 5, 5, 1, 9, 6, 5, 5, 6, 5, 5, 4, 3, 5, 4, 2, 5, 1, 4, 4, 6, 2, 2, 5, 6, 6, 7, 5, 6, 7, 8, 6, 6, 4, 5, 5, 4, 6, 4, 4, 5, 4, 3, 6, 6, 3, 5, 5, 1, 3, 3, 5, 8, 3, 3, 4, 2, 6, 5, 3, 4, 3, 6, 5, 5, 4, 6, 5, 2, 7, 4, 3, 5, 4, 5, 3, 5, 5, 4, 6, 5, 5, 2, 4, 5, 3, 6, 5, 4, 4, 5, 3, 4, 7, 4, 6, 7, 4, 7, 7, 6, 3, 6, 7, 4, 4, 5, 3, 4, 5, 6, 9, 4, 2, 3, 5, 7, 4, 7, 4, 3, 6, 4, 5, 5, 3, 3, 9, 4, 3, 4, 1, 4, 4, 4, 7, 6, 3, 6, 5, 2, 4, 3, 6, 6, 4, 3, 4, 5, 4, 3, 3, 4, 5, 6, 4, 4, 2, 7, 3, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 6, 5, 4, 5, 2, 5, 3, 5, 5, 3, 5, 3, 5, 4, 5, 5, 7, 6, 4, 3, 3, 5, 4, 4, 6, 4, 4, 6, 7, 3, 6, 4, 5, 2, 5, 3, 2, 6, 6, 2, 4, 3, 7, 3, 8, 6, 6, 3, 4, 7, 3, 5, 4, 5, 3, 5, 2, 4, 5, 2, 5, 7, 3, 4, 3, 7, 2, 4, 4, 3, 4, 6, 6, 7, 5, 5, 3, 5, 3, 6, 3, 5, 4, 4, 4, 2, 2, 5, 4, 2, 1, 4, 7, 6, 4, 5, 6, 7, 2, 3, 6, 4, 3, 3, 4, 3, 6, 4, 6, 4, 1 3, 5, 7, 6, 3, 5, 5, 6, 4, 5, 5, 6, 4, 4, 3, 5, 7, 7, 4, 3, 6, 4, 6, 5, 3, 3, 4, 4, 6, 4, 4, 3, 3, 5, 5, 5, 2, 5, 4, 5, 7, 3, 4, 6, 6, 5, 2, 6, 6, 4, 5, 4, 5, 3, 5, 7, 5, 2, 2, 5, 4, 4, 4, 6, 3, 5, 5, 4, 3, 4, 3, 4, 3, 5, 4, 2, 6, 5, 5, 3, 7, 3, 5, 4, 2, 8, 5, 4, 5, 5, 4, 5, 4, 4, 6, 6, 2, 1, 4, 5, 4, 4, 3, 6, 3, 7, 7, 4, 5, 4, 4, 4, 6, 4, 4, 4, 3, 5, 4, 4, 3, 5, 5, 5, 5, 9, 4, 5, 8, 6, 6, 4, 5, 6, 5, 4, 6, 3, 6, 6, 4, 7, 4, 3, 6, 5, 4, 5, 4, 8, 4, 5, 5, 7, 3, 4, 3, 3, 4, 4, 6, 7, 3, 4, 4, 4, 2, 5, 3, 5, 5, 4, 6, 6, 2, 4, 6, 5, 3, 3, 2, 4, 3, 5, 5, 5, 8, 5, 3, 4, 7, 6, 2, 5, 4, 4, 5, 4, 6, 2, 3, 5, 3, 5, 5, 2, 6, 8, 3, 4, 3, 4, 3, 3, 5, 6, 7, 2, 3, 4, 5, 6, 5, 4, 4, 2, 3, 4, 6, 6, 5, 4, 6, 4, 2, 4, 4, 3, 6, 6, 5, 7, 5, 3, 5, 4, 3, 4, 5, 6, 3, 5, 5, 6, 7, 4, 6, 5, 5, 3, 6, 3, 5, 3, 4, 2, 5, 5, 2, 3, 5, 3, 6, 4, 3, 6, 7, 4, 4, 4, 3, 7, 5, 5, 5, 4, 4, 6, 3, 6, 5, 4, 2, 5, 4, 4, 6, 5, 4, 5, 2, 7, 3, 5, 6, 5, 5, 5, 3, 5, 3, 5, 4, 4, 6, 4, 2, 6, 6, 8, 4, 6, 2, 3, 4, 5, 7, 6, 3, 6, 2, 4, 2, 8, 7, 5, 3, 4, 1, 4, 4, 7, 6, 3, 3, 6, 5, 4, 3, 4, 6, 3, 4, 4, 4, 4, 3, 3, 6, 5, 5, 6, 4, 4, 6, 4, 7, 6, 6, 4, 3, 6, 3, 5, 2, 7, 4, 5, 5, 3, 4, 5, 3, 2, 5, 3, 3, 4, 5, 1, 4, 6, 3, 3, 4, 6, 3, 4, 4, 3, 6, 5, 4, 7, 7, 5, 5, 6, 3, 4, 3, 5, 5, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 7, 4, 4, 6, 5, 6, 3, 6, 3, 4, 7, 5, 7, 4, 6, 7, 4, 1, 6, 2, 6, 2, 3, 5, 3, 4, 7, 5, 6, 4, 6, 5, 3, 4, 6, 7, 4, 4, 5, 5, 4, 1, 5, 4, 5, 3, 5, 3, 5, 2, 4, 6, 6, 4, 3, 4, 3, 6, 6, 6, 7, 6, 2, 6, 6, 5, 7, 5, 7, 5, 6, 4, 7, 6, 5, 3, 5, 1 7, 5, 5, 2, 2, 7, 4, 5, 3, 3, 2, 3, 6, 3, 5, 2, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 2, 4, 8, 4, 3, 6, 6, 7, 6, 5, 3, 4, 5, 3, 3, 4, 4, 7, 5, 4, 3, 3, 6, 4, 4, 4, 7, 4, 3, 5, 5, 5, 5, 5, 6, 4, 3, 7, 5, 5, 6, 5, 7, 5, 3, 6, 3, 4, 7, 3, 4, 5, 2, 4, 3, 3, 3, 9, 5, 5, 4, 4, 6, 5, 4, 4, 4, 4, 4, 4, 3, 5, 2, 6, 6, 3, 4, 3, 3, 6, 5, 3, 4, 6, 3, 6, 6, 7, 1, 7, 5, 4, 4, 4, 3, 4, 6, 2, 4, 6, 3, 1, 6, 7, 4, 4, 7, 6, 5, 2, 4, 5, 4, 5, 4, 6, 5, 1, 3, 5, 2, 3, 5, 7, 5, 3, 3, 4, 6, 6, 6, 3, 5, 3, 6, 2, 4, 7, 3, 3, 5, 2, 4, 2, 4, 5, 3, 6, 5, 6, 7, 5, 3, 5, 5, 4, 3, 7, 4, 3, 8, 6, 6, 5, 5, 6, 4, 4, 3, 6, 5, 5, 6, 7, 8, 1, 4, 5, 3, 4, 5, 7, 5, 3, 3, 5, 4, 4, 4, 5, 4, 2, 6, 4, 6, 3, 3, 4, 5, 5, 4, 6, 4, 6, 4, 4, 4, 5, 3, 7, 4, 4, 4, 6, 2, 6, 3, 6, 4, 6, 4, 2, 4, 6, 3, 5, 4, 4, 4, 4, 4, 6, 6, 4, 5, 2, 6, 4, 4, 5, 4, 3, 3, 4, 3, 7, 3, 4, 4, 4, 4, 4, 5, 2, 3, 4, 4, 3, 5, 5, 6, 4, 3, 4, 7, 4, 5, 4, 4, 3, 6, 3, 6, 8, 3, 6, 4, 5, 4, 7, 6, 4, 4, 6, 3, 6, 5, 5, 5, 4, 5, 4, 8, 4, 5, 4, 5, 3, 5, 3, 7, 3, 6, 4, 6, 7, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 1, 9, 6, 4, 3, 4, 7, 2, 4, 5, 6, 7, 3, 5, 6, 5, 7, 6, 3, 6, 5, 6, 4, 4, 5, 5, 5, 5, 4, 2, 4, 6, 6, 5, 4, 5, 6, 3, 7, 6, 5, 5, 3, 8, 5, 4, 4, 3, 5, 5, 3, 4, 5, 6, 8, 4, 5, 3, 7, 3, 6, 5, 5, 3, 4, 6, 3, 4, 2, 5, 2, 6, 5, 2, 4, 3, 4, 6, 6, 5, 6, 7, 4, 4, 7, 2, 3, 6, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 2, 5, 5, 5, 4, 5, 5, 5, 5, 8, 4, 3, 3, 6, 4, 4, 2, 7, 3, 6, 6, 3, 4, 5, 3, 5, 2, 5, 5, 4, 1, 6, 3, 5, 5, 7, 4, 3, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 3, 5, 3, 3, 2, 5, 4, 4, 3, 3, 1 4, 3, 5, 0, 3, 2, 3, 5, 5, 5, 5, 6, 3, 5, 7, 4, 3, 4, 6, 3, 6, 6, 4, 5, 4, 4, 4, 6, 6, 4, 5, 5, 3, 3, 6, 2, 3, 4, 7, 5, 4, 5, 3, 5, 4, 5, 4, 2, 2, 6, 7, 4, 4, 3, 3, 5, 6, 4, 3, 7, 5, 5, 4, 0, 5, 4, 5, 4, 5, 6, 6, 4, 4, 3, 3, 6, 4, 4, 7, 2, 2, 6, 3, 5, 4, 4, 3, 6, 2, 7, 2, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 7, 3, 1, 5, 8, 3, 3, 7, 2, 3, 5, 6, 3, 4, 2, 4, 4, 5, 6, 5, 3, 5, 3, 4, 1, 5, 5, 4, 4, 4, 5, 2, 6, 4, 4, 4, 4, 4, 5, 3, 5, 7, 5, 3, 7, 7, 4, 7, 4, 6, 5, 5, 7, 1, 6, 4, 7, 2, 1, 6, 4, 7, 4, 0, 3, 2, 5, 4, 5, 4, 3, 6, 4, 5, 6, 3, 3, 3, 3, 4, 6, 6, 4, 6, 4, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 2, 6, 2, 5, 4, 5, 7, 4, 5, 8, 3, 4, 6, 4, 4, 5, 3, 5, 5, 6, 4, 6, 6, 4, 5, 3, 5, 4, 4, 5, 6, 6, 6, 3, 4, 5, 7, 5, 3, 4, 5, 3, 3, 4, 4, 7, 7, 3, 3, 5, 5, 2, 5, 4, 5, 4, 7, 4, 4, 6, 6, 4, 5, 6, 3, 5, 3, 5, 5, 5, 4, 7, 6, 5, 5, 3, 7, 7, 4, 2, 5, 5, 5, 4, 3, 6, 7, 3, 4, 3, 6, 4, 2, 5, 4, 6, 5, 6, 5, 7, 2, 6, 4, 2, 5, 5, 6, 5, 5, 5, 6, 9, 4, 6, 4, 5, 4, 3, 6, 4, 1, 5, 3, 6, 5, 4, 5, 5, 3, 6, 1, 5, 3, 2, 3, 3, 5, 4, 4, 4, 5, 2, 7, 4, 5, 3, 3, 5, 7, 3, 4, 2, 4, 4, 5, 5, 6, 5, 6, 5, 7, 3, 2, 3, 5, 4, 6, 6, 5, 4, 5, 4, 4, 2, 2, 3, 2, 4, 7, 2, 1, 5, 5, 5, 5, 5, 6, 5, 4, 3, 5, 5, 5, 7, 5, 5, 4, 6, 5, 5, 4, 6, 7, 2, 5, 2, 4, 6, 6, 2, 6, 4, 4, 7, 4, 3, 4, 3, 2, 3, 4, 6, 4, 5, 2, 3, 4, 4, 7, 6, 4, 5, 6, 4, 5, 2, 6, 1, 5, 4, 5, 3, 5, 4, 7, 6, 5, 4, 3, 2, 8, 4, 5, 5, 5, 2, 2, 3, 5, 7, 5, 4, 5, 4, 2, 6, 8, 1, 4, 4, 7, 4, 5, 6, 3, 7, 6, 4, 6, 5, 4, 4, 5, 4, 3, 3, 4, 5, 2, 5, 4, 6, 1, 3, 5, 1 3, 1, 7, 5, 4, 5, 4, 6, 4, 4, 3, 4, 5, 7, 5, 3, 3, 4, 4, 6, 7, 5, 5, 5, 1, 4, 6, 5, 3, 2, 5, 2, 4, 3, 6, 4, 4, 4, 6, 4, 3, 3, 8, 4, 4, 5, 3, 4, 6, 4, 5, 6, 4, 5, 5, 6, 6, 5, 3, 8, 4, 4, 2, 2, 4, 2, 2, 4, 6, 4, 4, 6, 5, 5, 6, 5, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 3, 6, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 2, 5, 8, 3, 5, 6, 2, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 3, 5, 3, 5, 5, 4, 5, 6, 4, 4, 6, 6, 7, 6, 6, 4, 5, 4, 6, 5, 6, 4, 6, 4, 5, 3, 6, 2, 5, 4, 4, 2, 6, 4, 4, 5, 5, 4, 5, 6, 6, 5, 4, 6, 4, 5, 7, 6, 5, 2, 3, 2, 4, 4, 5, 3, 3, 5, 3, 2, 6, 4, 1, 3, 5, 3, 3, 3, 4, 7, 5, 6, 5, 4, 3, 6, 3, 3, 3, 4, 2, 2, 5, 4, 3, 6, 7, 4, 5, 3, 4, 4, 2, 3, 5, 2, 4, 3, 7, 5, 4, 3, 4, 6, 5, 5, 2, 5, 4, 4, 5, 6, 4, 3, 4, 5, 4, 5, 3, 4, 5, 5, 3, 5, 6, 6, 6, 7, 4, 8, 4, 5, 5, 3, 7, 6, 2, 2, 3, 2, 5, 2, 5, 4, 4, 6, 4, 7, 3, 6, 4, 6, 2, 4, 5, 2, 6, 5, 4, 3, 5, 4, 4, 4, 2, 4, 6, 4, 2, 7, 4, 4, 4, 4, 5, 4, 5, 6, 6, 4, 2, 4, 4, 3, 7, 3, 6, 4, 2, 4, 4, 3, 6, 4, 7, 4, 3, 5, 3, 4, 5, 5, 5, 4, 5, 4, 7, 4, 4, 6, 3, 5, 6, 2, 7, 7, 4, 4, 3, 3, 2, 3, 4, 3, 3, 5, 6, 3, 2, 2, 5, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 2, 5, 5, 2, 5, 3, 7, 3, 5, 4, 4, 7, 4, 5, 5, 7, 5, 3, 5, 6, 6, 6, 5, 4, 7, 2, 6, 5, 4, 7, 7, 7, 5, 6, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 7, 6, 6, 4, 6, 3, 2, 5, 4, 6, 1, 6, 5, 4, 4, 5, 6, 1, 4, 6, 5, 5, 5, 2, 4, 5, 5, 6, 6, 7, 4, 5, 7, 3, 5, 4, 6, 5, 5, 2, 3, 4, 3, 6, 6, 3, 3, 4, 6, 3, 3, 6, 4, 6, 6, 4, 6, 4, 5, 2, 3, 4, 4, 2, 6, 4, 5, 5, 1, 2, 6, 4, 6, 5, 5, 5, 3, 5, 4, 7, 5, 6, 4, 5, 4, 4, 5, 5, 5, 6, 4, 5, 4, 3, 6, 1 6, 5, 3, 1, 6, 3, 6, 4, 5, 4, 7, 5, 5, 4, 3, 6, 3, 5, 3, 4, 4, 6, 5, 5, 4, 5, 5, 4, 7, 3, 7, 6, 3, 2, 6, 4, 2, 4, 6, 2, 3, 3, 4, 6, 3, 3, 3, 4, 5, 4, 6, 1, 5, 4, 3, 5, 5, 3, 2, 5, 5, 1, 3, 3, 5, 2, 5, 5, 5, 4, 6, 5, 2, 3, 6, 5, 3, 5, 5, 1, 7, 3, 8, 5, 3, 7, 4, 4, 5, 4, 4, 3, 4, 4, 3, 2, 4, 1, 5, 0, 3, 4, 2, 3, 5, 6, 8, 6, 4, 5, 1, 3, 8, 5, 3, 3, 4, 4, 6, 5, 4, 4, 7, 5, 3, 3, 5, 7, 6, 5, 5, 2, 4, 6, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 7, 3, 3, 5, 4, 6, 5, 5, 3, 6, 3, 5, 4, 2, 4, 6, 6, 9, 4, 6, 3, 5, 5, 3, 6, 2, 5, 4, 7, 6, 6, 6, 4, 3, 5, 4, 3, 5, 5, 4, 2, 5, 6, 3, 4, 6, 2, 3, 4, 3, 6, 6, 3, 4, 5, 4, 8, 6, 6, 4, 3, 5, 4, 6, 4, 7, 5, 5, 7, 6, 4, 3, 4, 5, 3, 4, 4, 6, 3, 4, 5, 5, 2, 6, 5, 2, 4, 3, 6, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 6, 4, 4, 3, 4, 4, 6, 4, 4, 3, 6, 4, 5, 3, 5, 5, 3, 4, 5, 4, 3, 9, 5, 5, 3, 3, 3, 1, 7, 4, 4, 5, 7, 5, 5, 4, 4, 3, 5, 4, 7, 4, 4, 4, 5, 4, 3, 3, 4, 5, 3, 5, 3, 3, 3, 6, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 6, 6, 1, 5, 4, 2, 7, 6, 5, 4, 7, 5, 4, 5, 6, 2, 9, 1, 5, 5, 5, 4, 4, 7, 4, 5, 5, 5, 3, 4, 5, 6, 0, 5, 4, 6, 5, 5, 7, 6, 6, 5, 4, 7, 2, 7, 6, 5, 5, 8, 6, 3, 5, 5, 3, 4, 3, 2, 5, 5, 2, 5, 2, 6, 4, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 7, 3, 4, 6, 4, 5, 4, 6, 3, 3, 7, 4, 7, 5, 3, 6, 2, 3, 4, 7, 3, 5, 2, 4, 5, 5, 4, 4, 4, 5, 5, 2, 5, 3, 2, 4, 3, 2, 3, 2, 6, 6, 4, 4, 4, 5, 4, 5, 7, 4, 6, 7, 5, 7, 8, 4, 6, 4, 6, 6, 3, 5, 2, 7, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 2, 6, 5, 5, 3, 4, 3, 7, 4, 5, 7, 5, 6, 4, 6, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, -1 5, 3, 6, 3, 3, 5, 3, 5, 5, 1, 6, 4, 5, 5, 4, 4, 4, 4, 6, 3, 5, 4, 3, 5, 3, 4, 5, 4, 3, 2, 5, 3, 5, 5, 5, 3, 6, 4, 3, 2, 6, 2, 5, 3, 4, 5, 4, 5, 7, 4, 4, 5, 6, 4, 5, 7, 5, 4, 5, 4, 4, 5, 4, 4, 6, 4, 7, 6, 4, 3, 4, 6, 1, 4, 4, 5, 4, 6, 6, 3, 5, 4, 3, 3, 5, 7, 5, 4, 4, 5, 7, 4, 5, 4, 5, 3, 3, 6, 5, 7, 6, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 6, 4, 4, 3, 5, 5, 3, 3, 3, 4, 6, 4, 3, 4, 6, 7, 6, 4, 7, 2, 2, 3, 3, 4, 5, 0, 6, 6, 3, 2, 5, 4, 2, 4, 3, 2, 6, 4, 8, 5, 4, 4, 2, 5, 1, 5, 2, 7, 3, 4, 0, 4, 5, 6, 3, 5, 4, 4, 3, 4, 3, 5, 7, 4, 4, 4, 3, 5, 3, 5, 3, 6, 8, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 6, 7, 3, 3, 4, 2, 5, 5, 3, 5, 3, 5, 6, 3, 5, 3, 5, 4, 4, 4, 3, 2, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 5, 4, 6, 8, 3, 5, 5, 5, 5, 5, 6, 0, 6, 4, 6, 2, 5, 5, 5, 4, 2, 4, 5, 5, 5, 3, 4, 2, 5, 4, 3, 6, 7, 4, 5, 2, 6, 4, 6, 5, 7, 6, 4, 2, 1, 4, 5, 2, 5, 5, 7, 3, 6, 1, 5, 2, 2, 4, 6, 4, 7, 5, 4, 6, 3, 6, 3, 3, 4, 5, 5, 5, 3, 4, 3, 4, 3, 3, 4, 7, 6, 4, 9, 6, 3, 4, 6, 5, 2, 6, 6, 6, 4, 4, 4, 6, 4, 4, 3, 6, 3, 5, 3, 6, 4, 4, 4, 5, 6, 7, 6, 4, 7, 6, 3, 4, 2, 3, 4, 5, 4, 7, 5, 4, 3, 6, 3, 5, 6, 3, 0, 5, 5, 6, 3, 4, 4, 6, 4, 4, 9, 3, 5, 5, 4, 4, 4, 7, 4, 6, 4, 6, 6, 4, 5, 4, 5, 5, 4, 5, 4, 3, 2, 5, 4, 5, 4, 4, 5, 6, 6, 6, 7, 6, 5, 3, 6, 7, 5, 5, 4, 4, 2, 6, 7, 4, 5, 7, 4, 2, 6, 5, 6, 5, 4, 6, 5, 4, 3, 3, 4, 6, 2, 3, 6, 5, 7, 3, 4, 2, 6, 5, 5, 5, 4, 5, 7, 3, 4, 5, 5, 3, 5, 4, 4, 3, 2, 5, 5, 5, 4, 7, 2, 4, 4, 7, 4, 3, 3, 6, 4, 5, 3, 3, 3, 6, 7, 4, 4, 2, 5, 5, 4, 6, 3, 7, 5, 5, 2, 5, 7, 4, 4, 4, 4, 4, 8, 5, 4, 6, 5, 4, 6, 6, -1 5, 5, 4, 5, 5, 5, 7, 5, 4, 3, 6, 3, 3, 4, 4, 3, 6, 4, 2, 6, 5, 7, 3, 6, 3, 5, 5, 6, 3, 2, 6, 6, 4, 7, 6, 4, 5, 6, 4, 6, 5, 5, 4, 4, 5, 3, 3, 5, 2, 7, 5, 3, 4, 5, 3, 6, 6, 5, 3, 6, 5, 2, 4, 3, 4, 4, 4, 6, 6, 5, 7, 6, 3, 4, 5, 8, 5, 3, 6, 2, 2, 3, 5, 5, 5, 4, 4, 5, 5, 4, 7, 6, 4, 2, 6, 4, 5, 8, 6, 6, 3, 5, 5, 3, 6, 4, 4, 3, 6, 6, 4, 4, 6, 4, 5, 5, 7, 5, 3, 2, 1, 7, 6, 3, 6, 5, 4, 6, 4, 8, 6, 2, 6, 4, 7, 7, 6, 5, 8, 5, 3, 6, 4, 3, 3, 6, 3, 3, 3, 3, 6, 5, 4, 6, 4, 3, 7, 4, 3, 8, 6, 2, 6, 3, 3, 3, 5, 4, 4, 3, 4, 4, 8, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 3, 9, 4, 4, 4, 3, 5, 3, 7, 2, 5, 3, 1, 4, 7, 4, 6, 4, 3, 3, 6, 7, 6, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 6, 8, 4, 3, 5, 2, 7, 3, 3, 7, 4, 4, 3, 4, 5, 5, 3, 6, 4, 4, 5, 3, 2, 8, 5, 5, 6, 4, 3, 7, 4, 3, 3, 4, 6, 5, 4, 5, 4, 5, 2, 6, 4, 3, 2, 4, 3, 6, 6, 4, 0, 5, 3, 1, 4, 4, 1, 4, 8, 5, 6, 7, 5, 5, 6, 7, 4, 4, 4, 3, 6, 3, 2, 5, 4, 6, 3, 4, 8, 4, 6, 4, 5, 6, 7, 3, 5, 4, 5, 5, 6, 4, 6, 7, 0, 3, 4, 3, 4, 8, 4, 5, 4, 5, 4, 5, 6, 3, 4, 4, 7, 4, 5, 5, 5, 3, 5, 3, 4, 2, 4, 6, 6, 2, 5, 5, 6, 4, 3, 7, 5, 3, 1, 5, 6, 3, 4, 4, 7, 5, 3, 5, 3, 3, 4, 3, 5, 5, 4, 3, 5, 6, 4, 8, 5, 6, 1, 2, 3, 4, 3, 2, 3, 4, 1, 6, 5, 5, 3, 4, 4, 4, 6, 8, 3, 2, 3, 5, 3, 2, 5, 7, 4, 3, 1, 3, 5, 2, 6, 5, 2, 4, 7, 4, 4, 5, 5, 5, 2, 4, 5, 5, 7, 7, 4, 5, 5, 5, 4, 6, 5, 6, 6, 4, 3, 4, 4, 4, 5, 6, 5, 5, 5, 3, 3, 5, 3, 4, 6, 2, 3, 3, 6, 6, 4, 7, 4, 5, 4, 5, 5, 4, 9, 6, 4, 4, 4, 7, 3, 3, 3, 5, 5, 2, 5, 3, 4, 4, 6, 5, 4, 5, 4, 7, 5, 7, 6, 4, 3, 7, 5, 8, 6, 9, 5, 7, 4, 6, 5, 1 3, 6, 2, 5, 4, 6, 5, 4, 3, 4, 4, 3, 4, 6, 6, 3, 5, 7, 5, 3, 6, 4, 4, 4, 4, 5, 3, 7, 6, 3, 4, 4, 4, 4, 7, 3, 5, 6, 3, 6, 6, 4, 4, 3, 1, 5, 4, 4, 5, 4, 3, 1, 4, 2, 4, 7, 8, 3, 5, 8, 4, 6, 2, 4, 5, 7, 4, 5, 5, 5, 4, 6, 3, 4, 4, 6, 5, 5, 2, 4, 5, 4, 4, 6, 4, 4, 7, 5, 5, 5, 4, 3, 5, 4, 5, 1, 6, 7, 5, 9, 4, 4, 2, 3, 5, 5, 5, 8, 4, 4, 5, 6, 5, 4, 3, 7, 5, 3, 3, 6, 3, 5, 6, 2, 4, 4, 5, 5, 6, 2, 5, 3, 6, 2, 3, 4, 3, 4, 6, 6, 6, 7, 3, 3, 6, 6, 4, 3, 5, 8, 6, 2, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 7, 8, 5, 4, 3, 5, 4, 4, 6, 6, 5, 2, 7, 3, 7, 3, 4, 4, 4, 4, 3, 6, 2, 4, 7, 4, 3, 4, 2, 3, 5, 7, 5, 5, 7, 4, 4, 6, 6, 5, 3, 7, 4, 5, 4, 3, 7, 3, 5, 3, 7, 5, 4, 4, 5, 5, 3, 4, 3, 5, 2, 3, 4, 5, 5, 5, 6, 5, 3, 3, 5, 4, 5, 4, 7, 4, 3, 3, 5, 5, 6, 4, 5, 4, 6, 3, 4, 5, 5, 4, 4, 5, 3, 2, 3, 4, 6, 2, 4, 4, 5, 6, 3, 8, 7, 5, 7, 5, 1, 6, 5, 4, 3, 5, 4, 6, 5, 2, 2, 5, 2, 4, 3, 5, 6, 4, 5, 3, 5, 3, 6, 2, 5, 4, 4, 4, 5, 6, 6, 7, 4, 4, 6, 3, 4, 4, 5, 3, 3, 5, 5, 2, 3, 5, 4, 3, 7, 5, 3, 5, 5, 4, 3, 5, 6, 5, 6, 2, 4, 4, 5, 6, 3, 3, 4, 4, 3, 5, 6, 4, 5, 7, 3, 4, 5, 6, 4, 4, 4, 6, 5, 4, 3, 4, 2, 3, 6, 3, 5, 4, 6, 5, 5, 3, 4, 4, 4, 6, 4, 6, 7, 3, 4, 5, 3, 3, 6, 6, 5, 5, 2, 4, 4, 7, 3, 4, 7, 5, 4, 5, 7, 1, 3, 6, 5, 5, 2, 5, 4, 3, 5, 3, 5, 6, 6, 5, 3, 7, 5, 2, 4, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 1, 4, 6, 3, 6, 6, 5, 4, 4, 6, 6, 8, 4, 2, 3, 8, 6, 3, 4, 4, 4, 4, 7, 6, 4, 5, 6, 5, 5, 7, 4, 4, 6, 6, 7, 5, 3, 5, 3, 4, 6, 5, 8, 4, 2, 4, 3, 5, 5, 4, 4, 8, 3, 4, 6, 5, 3, 4, 6, 4, 6, 7, 7, 6, 4, 4, 4, 3, 4, 3, 7, 2, 1 8, 7, 5, 4, 3, 5, 5, 7, 7, 6, 5, 3, 2, 4, 4, 5, 4, 4, 3, 5, 4, 5, 6, 6, 5, 3, 4, 4, 4, 6, 5, 4, 4, 3, 8, 7, 4, 5, 5, 4, 6, 6, 4, 2, 2, 5, 5, 3, 4, 1, 4, 2, 4, 4, 5, 7, 5, 5, 5, 3, 5, 1, 6, 1, 1, 6, 3, 7, 3, 6, 2, 6, 3, 5, 5, 4, 2, 2, 4, 6, 5, 2, 2, 6, 4, 4, 7, 4, 5, 5, 4, 3, 5, 4, 4, 5, 3, 1, 2, 6, 5, 4, 5, 7, 4, 5, 7, 3, 2, 5, 4, 2, 6, 6, 2, 5, 2, 3, 6, 4, 5, 4, 6, 5, 5, 3, 8, 4, 6, 1, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 6, 5, 5, 2, 5, 5, 6, 3, 5, 3, 3, 9, 6, 4, 3, 4, 6, 4, 4, 5, 5, 6, 3, 5, 4, 7, 4, 2, 3, 2, 8, 4, 6, 6, 5, 6, 4, 4, 4, 2, 3, 7, 5, 6, 7, 6, 4, 5, 4, 2, 3, 3, 3, 3, 5, 5, 5, 6, 5, 7, 4, 2, 7, 2, 5, 5, 3, 3, 6, 5, 1, 3, 3, 3, 5, 4, 3, 6, 6, 3, 3, 6, 5, 5, 4, 4, 5, 4, 2, 3, 4, 4, 3, 4, 2, 3, 7, 6, 7, 4, 5, 5, 5, 5, 3, 6, 6, 3, 2, 3, 4, 4, 5, 3, 4, 4, 5, 6, 2, 2, 3, 3, 4, 5, 5, 3, 5, 7, 3, 5, 4, 5, 3, 7, 4, 6, 6, 5, 3, 7, 6, 6, 4, 4, 4, 6, 7, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 6, 6, 4, 5, 6, 4, 4, 6, 2, 5, 5, 5, 5, 6, 4, 3, 4, 5, 8, 3, 5, 6, 4, 5, 7, 6, 7, 4, 6, 6, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 7, 5, 6, 5, 5, 7, 3, 7, 6, 7, 4, 4, 5, 5, 6, 2, 5, 4, 4, 2, 4, 6, 7, 6, 8, 8, 6, 3, 6, 2, 6, 6, 5, 5, 3, 7, 1, 3, 4, 4, 5, 5, 5, 3, 4, 4, 6, 5, 3, 4, 4, 5, 6, 3, 4, 5, 5, 3, 9, 7, 4, 7, 6, 6, 3, 5, 6, 6, 2, 4, 3, 4, 4, 6, 7, 3, 6, 5, 4, 4, 1, 3, 3, 4, 4, 4, 5, 3, 6, 6, 7, 5, 5, 6, 5, 3, 2, 5, 4, 5, 4, 6, 4, 3, 3, 5, 3, 4, 4, 5, 5, 4, 4, 6, 5, 3, 4, 5, 5, 3, 7, 5, 4, 4, 7, 5, 5, 3, 6, 5, 6, 6, 5, 5, 4, 3, 7, 5, 5, 4, 4, 4, 3, 4, 3, 0, 4, 4, 3, -1 3, 5, 3, 4, 3, 1, 6, 4, 6, 3, 3, 4, 6, 6, 8, 4, 7, 5, 7, 6, 5, 3, 5, 6, 4, 5, 2, 4, 4, 2, 4, 7, 3, 4, 4, 6, 3, 5, 4, 3, 4, 4, 3, 4, 1, 4, 3, 6, 7, 5, 5, 3, 6, 3, 5, 5, 6, 4, 5, 4, 3, 4, 6, 3, 8, 3, 3, 3, 6, 7, 5, 5, 3, 2, 4, 5, 5, 5, 2, 4, 5, 2, 5, 5, 5, 4, 2, 3, 4, 3, 2, 5, 4, 3, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 2, 5, 4, 5, 4, 5, 4, 2, 6, 2, 1, 4, 7, 3, 5, 7, 4, 5, 4, 6, 3, 2, 5, 6, 4, 4, 6, 4, 1, 5, 3, 5, 4, 3, 0, 6, 2, 5, 1, 6, 3, 3, 5, 7, 3, 4, 7, 4, 4, 5, 3, 6, 6, 7, 5, 3, 6, 6, 7, 3, 6, 4, 6, 4, 3, 6, 6, 5, 3, 4, 4, 6, 2, 4, 4, 5, 6, 3, 5, 5, 4, 3, 4, 6, 3, 5, 3, 6, 4, 3, 7, 6, 6, 6, 6, 4, 7, 4, 4, 1, 3, 5, 4, 5, 5, 3, 2, 4, 3, 3, 7, 4, 4, 5, 4, 4, 6, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 6, 5, 3, 4, 3, 3, 3, 3, 4, 6, 6, 4, 3, 6, 5, 2, 1, 4, 6, 3, 2, 5, 3, 3, 2, 2, 7, 4, 3, 3, 4, 3, 6, 4, 2, 4, 5, 5, 5, 4, 4, 6, 5, 4, 7, 4, 2, 5, 4, 7, 5, 5, 2, 7, 5, 5, 6, 6, 4, 5, 4, 6, 5, 4, 5, 5, 3, 7, 2, 5, 5, 4, 5, 6, 6, 3, 6, 2, 4, 4, 4, 4, 7, 5, 6, 2, 6, 2, 5, 5, 6, 4, 5, 7, 3, 7, 4, 5, 6, 7, 3, 4, 6, 2, 3, 4, 6, 7, 4, 3, 4, 5, 4, 6, 4, 6, 7, 2, 4, 5, 6, 6, 4, 2, 5, 7, 1, 6, 3, 4, 3, 5, 3, 2, 4, 4, 5, 2, 4, 3, 5, 6, 5, 5, 5, 6, 5, 5, 7, 5, 4, 5, 5, 4, 6, 6, 3, 6, 6, 5, 8, 4, 4, 2, 4, 6, 7, 7, 2, 3, 3, 4, 5, 5, 2, 5, 3, 3, 7, 7, 5, 5, 3, 5, 6, 4, 2, 5, 6, 4, 3, 2, 2, 6, 4, 4, 7, 5, 3, 5, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 1, 4, 6, 7, 5, 7, 4, 5, 4, 4, 4, 3, 6, 3, 6, 4, 4, 5, 5, 6, 4, 4, 4, 3, 5, 2, 5, 4, 3, 5, 4, 5, 7, 6, 2, 4, 6, 4, 3, 4, 4, 4, 3, 6, 3, 5, 4, 6, 5, 4, 1 4, 3, 4, 4, 2, 5, 2, 4, 5, 6, 6, 5, 6, 3, 5, 4, 6, 2, 4, 4, 4, 5, 3, 3, 5, 3, 4, 4, 7, 5, 6, 6, 5, 7, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 2, 7, 5, 6, 3, 3, 5, 5, 4, 3, 4, 2, 5, 4, 4, 2, 5, 5, 2, 4, 4, 6, 6, 4, 2, 4, 5, 5, 3, 3, 5, 4, 4, 3, 3, 6, 8, 5, 3, 6, 5, 4, 4, 3, 3, 8, 7, 7, 2, 6, 6, 5, 6, 6, 4, 5, 2, 4, 3, 3, 7, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 2, 2, 7, 7, 3, 4, 5, 4, 5, 3, 5, 6, 6, 4, 5, 5, 4, 4, 3, 5, 3, 3, 4, 7, 7, 7, 3, 6, 6, 5, 6, 6, 4, 1, 5, 7, 7, 5, 7, 4, 6, 5, 3, 3, 8, 3, 6, 4, 3, 4, 4, 4, 3, 2, 6, 6, 4, 3, 6, 3, 8, 5, 8, 6, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 6, 5, 5, 3, 2, 4, 5, 5, 4, 2, 5, 6, 5, 1, 2, 5, 5, 4, 4, 7, 6, 5, 6, 5, 5, 5, 5, 4, 6, 6, 5, 5, 4, 4, 3, 3, 4, 7, 3, 4, 5, 6, 6, 7, 8, 5, 5, 6, 3, 7, 4, 3, 4, 5, 7, 4, 5, 4, 3, 3, 4, 1, 6, 4, 5, 3, 6, 5, 3, 3, 5, 5, 4, 5, 5, 5, 7, 4, 4, 4, 4, 3, 4, 6, 5, 6, 7, 2, 5, 4, 5, 4, 3, 5, 7, 3, 5, 6, 5, 6, 4, 4, 3, 3, 5, 4, 5, 2, 6, 7, 3, 2, 5, 7, 6, 5, 3, 3, 5, 6, 4, 6, 8, 6, 4, 3, 2, 4, 4, 4, 5, 5, 4, 3, 7, 3, 2, 5, 5, 7, 4, 4, 3, 5, 6, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 7, 3, 6, 4, 5, 4, 4, 4, 4, 6, 7, 3, 5, 4, 7, 3, 7, 5, 5, 5, 5, 5, 6, 4, 5, 5, 7, 2, 3, 2, 3, 4, 5, 3, 4, 7, 4, 4, 3, 5, 2, 4, 5, 1, 7, 5, 6, 5, 6, 7, 2, 6, 2, 3, 6, 5, 5, 5, 6, 3, 3, 3, 4, 5, 5, 6, 6, 7, 3, 5, 7, 5, 4, 4, 3, 3, 2, 7, 4, 4, 2, 5, 6, 6, 4, 2, 4, 3, 5, 4, 4, 2, 4, 3, 5, 5, 3, 6, 4, 4, 7, 3, 4, 3, 6, 3, 4, 4, 1, 2, 5, 6, 4, 5, 2, 2, 5, 5, 3, 2, 6, 2, 4, 4, 5, 3, 3, 7, 3, 4, 1, 7, 3, 4, 3, 7, 5, 3, 4, 6, 0, 4, 3, 7, 4, 2, 5, 4, 5, 1 5, 6, 4, 6, 5, 6, 6, 5, 7, 4, 6, 5, 5, 5, 5, 2, 3, 8, 2, 3, 5, 4, 4, 3, 5, 3, 4, 3, 5, 5, 4, 4, 6, 2, 5, 5, 7, 6, 4, 6, 4, 7, 5, 6, 3, 7, 5, 4, 5, 4, 4, 5, 6, 2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 6, 5, 5, 6, 4, 4, 5, 8, 4, 2, 3, 7, 5, 7, 6, 2, 5, 2, 1, 5, 5, 1, 4, 3, 3, 4, 4, 7, 4, 7, 8, 5, 5, 4, 3, 3, 5, 7, 3, 5, 5, 5, 6, 3, 3, 7, 4, 4, 5, 6, 5, 2, 4, 3, 5, 6, 3, 3, 6, 5, 3, 4, 6, 5, 5, 2, 5, 5, 5, 3, 3, 4, 5, 6, 3, 4, 3, 1, 3, 5, 6, 4, 3, 6, 3, 4, 4, 3, 6, 7, 7, 4, 4, 7, 5, 4, 5, 4, 7, 6, 6, 4, 6, 5, 4, 5, 4, 6, 5, 8, 5, 7, 4, 4, 6, 4, 8, 3, 1, 1, 6, 4, 6, 6, 4, 5, 6, 3, 4, 7, 5, 3, 3, 4, 5, 4, 4, 4, 7, 5, 5, 3, 2, 2, 3, 3, 2, 6, 2, 4, 3, 5, 5, 4, 1, 3, 5, 7, 2, 6, 6, 3, 4, 5, 8, 5, 4, 2, 4, 5, 5, 6, 3, 5, 5, 4, 4, 5, 2, 3, 4, 2, 3, 5, 5, 5, 4, 6, 3, 5, 4, 4, 4, 3, 4, 6, 3, 5, 4, 3, 6, 5, 4, 5, 3, 6, 6, 2, 6, 4, 3, 3, 4, 3, 6, 4, 2, 7, 5, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 4, 6, 5, 5, 7, 4, 5, 7, 4, 4, 6, 6, 4, 5, 4, 3, 3, 5, 5, 4, 6, 6, 8, 5, 4, 4, 3, 4, 6, 2, 6, 3, 5, 6, 5, 3, 5, 5, 5, 6, 2, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 3, 6, 4, 4, 5, 2, 5, 2, 3, 5, 6, 4, 6, 6, 5, 7, 5, 3, 4, 5, 5, 6, 4, 5, 8, 6, 1, 3, 3, 6, 5, 5, 0, 5, 8, 2, 4, 6, 4, 4, 5, 4, 6, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 6, 4, 5, 1, 6, 5, 6, 5, 7, 2, 6, 5, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 5, 6, 5, 5, 7, 6, 7, 4, 4, 5, 3, 6, 4, 2, 1, 2, 8, 3, 5, 7, 6, 6, 5, 5, 5, 1, 6, 8, 1, 4, 5, 5, 3, 7, 5, 3, 4, 4, 3, 3, 3, 5, 4, 1, 7, 6, 5, 4, 5, 4, 5, 5, 4, 4, 3, 7, 4, 5, 3, 1, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 2, 1 5, 2, 4, 6, 4, 5, 4, 4, 3, 5, 4, 5, 5, 6, 5, 5, 4, 3, 2, 6, 3, 4, 6, 6, 1, 4, 3, 1, 5, 5, 6, 3, 4, 4, 2, 6, 5, 6, 8, 6, 6, 5, 5, 2, 3, 7, 2, 5, 6, 6, 5, 6, 6, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 3, 3, 4, 6, 3, 4, 4, 3, 5, 1, 3, 5, 7, 5, 6, 1, 3, 5, 2, 4, 5, 3, 3, 5, 6, 4, 5, 4, 5, 4, 5, 6, 5, 4, 3, 4, 3, 5, 8, 3, 3, 2, 7, 6, 6, 4, 3, 3, 5, 7, 6, 4, 4, 4, 5, 7, 6, 4, 2, 4, 6, 3, 6, 4, 4, 8, 6, 5, 4, 2, 5, 4, 4, 6, 3, 4, 2, 3, 5, 3, 4, 7, 5, 2, 3, 3, 6, 6, 4, 8, 6, 6, 7, 5, 4, 5, 5, 4, 4, 6, 4, 5, 3, 6, 4, 3, 3, 6, 4, 4, 6, 4, 9, 4, 4, 4, 6, 7, 6, 1, 6, 6, 6, 4, 6, 6, 4, 4, 3, 3, 4, 4, 7, 6, 3, 5, 6, 4, 6, 7, 5, 2, 2, 6, 4, 5, 2, 5, 4, 4, 4, 5, 1, 5, 3, 6, 3, 7, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 4, 2, 5, 2, 1, 5, 5, 4, 6, 5, 6, 4, 3, 5, 4, 6, 4, 3, 5, 2, 7, 4, 5, 4, 6, 3, 6, 5, 5, 6, 6, 4, 6, 3, 3, 7, 6, 5, 6, 6, 2, 5, 4, 4, 4, 7, 4, 5, 4, 2, 6, 7, 3, 4, 6, 5, 6, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 6, 6, 6, 5, 3, 4, 5, 6, 3, 4, 2, 6, 5, 3, 5, 2, 5, 2, 3, 6, 6, 7, 5, 5, 4, 5, 4, 0, 2, 5, 5, 6, 7, 3, 4, 4, 5, 3, 2, 4, 1, 4, 3, 5, 5, 4, 6, 6, 2, 8, 4, 3, 3, 4, 4, 2, 4, 6, 6, 3, 5, 4, 4, 4, 5, 4, 4, 3, 7, 2, 6, 3, 3, 5, 4, 5, 6, 7, 5, 5, 5, 4, 4, 6, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 2, 6, 5, 7, 6, 4, 5, 4, 4, 3, 4, 6, 5, 3, 4, 5, 1, 6, 6, 2, 7, 3, 5, 5, 4, 5, 6, 4, 3, 3, 5, 4, 6, 5, 6, 4, 4, 3, 4, 5, 7, 6, 5, 5, 5, 1, 6, 5, 4, 5, 3, 4, 1, 7, 5, 4, 3, 5, 3, 5, 4, 7, 5, 2, 5, 5, 7, 4, 9, 4, 4, 3, 6, 4, 3, 3, 3, 6, 1, 4, 3, 1, 8, 6, 5, 3, 5, 4, 4, 2, 3, 3, 5, 5, 7, 4, 3, 4, 5, 2, 5, 6, 5, 2, 4, 8, 5, 5, 1 3, 4, 4, 3, 5, 3, 5, 3, 5, 5, 4, 4, 7, 2, 4, 3, 2, 3, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 6, 5, 1, 3, 4, 4, 6, 6, 3, 4, 5, 2, 6, 4, 4, 4, 2, 3, 2, 5, 3, 5, 5, 3, 5, 6, 6, 3, 7, 3, 4, 4, 6, 7, 4, 2, 6, 7, 4, 7, 5, 4, 5, 4, 6, 7, 5, 7, 4, 3, 5, 4, 3, 3, 4, 5, 3, 4, 6, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3, 6, 4, 3, 4, 5, 3, 6, 5, 4, 5, 5, 3, 6, 6, 4, 3, 6, 2, 4, 2, 4, 3, 3, 5, 4, 5, 5, 6, 4, 5, 4, 5, 7, 4, 5, 4, 2, 2, 3, 4, 3, 5, 3, 3, 4, 4, 6, 4, 4, 6, 2, 3, 4, 3, 6, 7, 5, 5, 5, 6, 7, 5, 5, 4, 3, 1, 4, 6, 3, 6, 4, 5, 5, 4, 5, 3, 5, 4, 4, 4, 7, 2, 3, 3, 4, 4, 6, 6, 5, 5, 8, 4, 4, 5, 6, 3, 4, 6, 5, 3, 5, 6, 3, 5, 3, 4, 3, 2, 5, 3, 3, 3, 4, 7, 4, 5, 4, 3, 4, 4, 3, 6, 7, 4, 3, 4, 6, 5, 3, 4, 5, 4, 5, 6, 2, 2, 4, 4, 6, 5, 6, 2, 3, 4, 4, 2, 5, 2, 4, 4, 9, 4, 4, 4, 6, 2, 5, 8, 3, 2, 3, 1, 6, 5, 5, 2, 7, 4, 7, 3, 4, 5, 5, 3, 6, 4, 4, 5, 6, 4, 4, 3, 5, 3, 5, 3, 5, 4, 5, 5, 3, 8, 5, 3, 5, 4, 4, 4, 9, 4, 6, 5, 6, 4, 5, 4, 4, 3, 3, 4, 3, 7, 4, 4, 5, 4, 1, 4, 7, 4, 5, 6, 5, 4, 5, 3, 4, 4, 5, 2, 2, 4, 2, 6, 4, 4, 5, 3, 6, 3, 5, 6, 6, 3, 5, 4, 4, 4, 4, 4, 6, 5, 4, 6, 4, 3, 5, 8, 4, 6, 5, 5, 6, 5, 4, 6, 5, 5, 6, 3, 3, 4, 4, 2, 5, 4, 3, 5, 2, 3, 1, 3, 4, 5, 4, 5, 2, 2, 3, 5, 5, 2, 4, 6, 6, 5, 4, 5, 7, 4, 5, 7, 3, 1, 7, 5, 6, 6, 1, 7, 3, 3, 3, 5, 3, 3, 5, 6, 2, 3, 6, 5, 6, 2, 7, 3, 3, 4, 3, 4, 5, 1, 4, 3, 3, 4, 6, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 7, 6, 4, 6, 5, 5, 7, 5, 4, 4, 5, 4, 3, 4, 2, 4, 1, 3, 3, 5, 5, 5, 2, 3, 6, 4, 6, 2, 4, 5, 5, 2, 5, 7, 4, 5, 4, 4, 4, 5, 6, 4, 4, 6, 3, 4, 3, 2, 7, 4, 4, 5, -1 1, 4, 6, 3, 5, 3, 5, 4, 5, 5, 3, 7, 6, 4, 6, 3, 9, 2, 5, 2, 4, 6, 3, 4, 2, 3, 7, 4, 4, 5, 4, 4, 3, 5, 6, 5, 4, 6, 5, 4, 5, 5, 5, 4, 3, 4, 6, 5, 7, 7, 7, 2, 4, 4, 6, 5, 7, 4, 4, 5, 5, 3, 4, 5, 7, 3, 6, 5, 7, 6, 3, 5, 5, 4, 4, 5, 6, 5, 3, 3, 1, 4, 1, 4, 5, 4, 4, 6, 5, 6, 4, 3, 4, 2, 6, 4, 4, 6, 6, 5, 3, 3, 4, 6, 4, 3, 6, 2, 5, 7, 4, 4, 8, 4, 1, 3, 5, 4, 3, 4, 4, 5, 5, 7, 4, 6, 6, 3, 4, 5, 4, 2, 5, 5, 5, 4, 1, 3, 7, 6, 4, 5, 3, 3, 7, 5, 6, 3, 7, 5, 3, 5, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 7, 8, 5, 5, 4, 3, 3, 2, 5, 4, 3, 3, 4, 5, 4, 2, 3, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 3, 3, 6, 5, 5, 5, 5, 4, 5, 6, 5, 6, 5, 5, 4, 5, 4, 2, 4, 3, 3, 6, 2, 5, 6, 5, 5, 2, 5, 8, 5, 5, 6, 6, 2, 3, 3, 6, 4, 6, 5, 5, 4, 5, 4, 4, 3, 6, 4, 6, 3, 5, 2, 6, 5, 5, 2, 6, 4, 5, 5, 4, 2, 3, 4, 2, 4, 8, 2, 8, 3, 3, 7, 3, 3, 3, 5, 3, 4, 4, 6, 6, 3, 4, 6, 4, 8, 6, 6, 3, 2, 4, 4, 5, 4, 5, 2, 5, 2, 5, 4, 5, 6, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 0, 4, 2, 6, 5, 7, 4, 4, 4, 2, 6, 4, 8, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 6, 3, 2, 6, 4, 5, 3, 5, 4, 7, 6, 7, 7, 5, 5, 5, 4, 4, 5, 3, 6, 3, 3, 3, 6, 3, 4, 4, 4, 4, 3, 6, 6, 3, 7, 5, 5, 4, 5, 4, 2, 6, 6, 3, 4, 3, 4, 3, 5, 5, 6, 7, 5, 4, 4, 7, 6, 5, 3, 4, 3, 4, 3, 5, 3, 2, 5, 5, 4, 5, 3, 5, 3, 4, 4, 3, 2, 5, 3, 5, 4, 4, 4, 5, 3, 6, 4, 2, 4, 5, 6, 4, 4, 8, 6, 5, 4, 5, 4, 5, 4, 6, 4, 5, 3, 5, 3, 3, 5, 5, 4, 4, 3, 5, 4, 6, 5, 5, 2, 5, 4, 5, 8, 3, 3, 4, 4, 4, 7, 6, 2, 5, 3, 2, 2, 4, 2, 5, 4, 4, 4, 5, 6, 1, 7, 5, 4, 7, 3, 3, 7, 7, 4, 6, 2, 3, 6, 6, 5, 4, 5, 4, 4, 2, 5, 5, 3, 5, 3, 7, 4, 6, 5, -1 6, 7, 5, 3, 3, 3, 3, 5, 3, 5, 4, 3, 5, 4, 5, 6, 7, 5, 5, 4, 2, 6, 6, 4, 5, 4, 3, 4, 4, 6, 4, 6, 4, 2, 5, 5, 2, 6, 5, 3, 7, 5, 5, 6, 3, 4, 6, 4, 2, 6, 4, 4, 4, 3, 3, 7, 5, 4, 6, 5, 7, 4, 4, 4, 2, 4, 5, 6, 5, 4, 3, 6, 3, 7, 1, 5, 6, 2, 5, 3, 4, 1, 2, 3, 6, 3, 8, 5, 5, 4, 4, 7, 5, 3, 6, 7, 5, 2, 4, 5, 7, 4, 5, 5, 2, 5, 7, 6, 0, 4, 2, 2, 4, 5, 5, 4, 5, 5, 6, 4, 2, 5, 6, 4, 4, 7, 5, 5, 5, 5, 1, 2, 7, 6, 4, 4, 2, 3, 5, 6, 3, 5, 4, 5, 6, 4, 4, 4, 5, 2, 5, 3, 6, 4, 6, 4, 6, 7, 4, 5, 4, 4, 7, 2, 6, 6, 5, 3, 4, 5, 5, 3, 5, 4, 7, 5, 3, 7, 6, 5, 7, 3, 3, 4, 6, 4, 4, 3, 5, 6, 7, 4, 4, 6, 4, 6, 2, 4, 6, 4, 5, 7, 4, 7, 5, 5, 6, 3, 3, 5, 4, 3, 4, 6, 5, 4, 4, 4, 4, 2, 6, 4, 4, 4, 5, 4, 5, 5, 6, 7, 1, 4, 3, 4, 1, 6, 6, 5, 3, 4, 5, 6, 5, 6, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 4, 2, 5, 5, 6, 5, 4, 5, 4, 5, 4, 4, 6, 5, 1, 4, 4, 5, 6, 2, 6, 3, 7, 4, 5, 5, 3, 4, 7, 4, 5, 4, 5, 3, 4, 4, 3, 4, 2, 6, 4, 4, 4, 4, 3, 3, 6, 1, 5, 5, 6, 4, 2, 5, 6, 6, 4, 5, 5, 3, 3, 5, 8, 4, 4, 7, 6, 4, 5, 5, 4, 7, 5, 4, 3, 3, 5, 5, 4, 5, 4, 3, 2, 4, 4, 6, 4, 4, 6, 5, 4, 4, 5, 5, 4, 2, 6, 7, 5, 4, 3, 4, 4, 6, 8, 4, 4, 7, 5, 2, 5, 2, 4, 2, 4, 6, 5, 5, 6, 5, 4, 4, 2, 6, 2, 6, 6, 3, 6, 3, 5, 6, 6, 4, 6, 4, 4, 4, 6, 4, 2, 4, 5, 5, 5, 4, 5, 4, 8, 6, 3, 4, 5, 3, 4, 5, 6, 4, 4, 4, 4, 3, 4, 5, 6, 4, 4, 4, 6, 4, 3, 4, 3, 3, 6, 4, 5, 4, 4, 4, 7, 2, 5, 4, 3, 4, 4, 6, 5, 5, 1, 4, 5, 6, 5, 5, 3, 4, 5, 5, 4, 3, 2, 5, 5, 4, 3, 7, 7, 4, 4, 3, 3, 6, 4, 5, 3, 5, 5, 3, 4, 6, 5, 5, 5, 5, 5, 2, 4, 4, 4, 4, 5, 3, 2, 4, 8, 6, 6, 4, 4, 4, 4, 7, 4, 5, 1 5, 2, 3, 2, 5, 4, 5, 2, 5, 4, 4, 6, 5, 4, 4, 3, 6, 6, 3, 6, 4, 3, 3, 6, 8, 5, 3, 6, 6, 5, 5, 4, 5, 4, 4, 6, 3, 3, 5, 4, 4, 6, 4, 2, 5, 3, 1, 3, 4, 5, 6, 6, 4, 4, 5, 5, 5, 3, 3, 4, 5, 6, 6, 2, 3, 5, 6, 4, 5, 7, 7, 6, 3, 4, 3, 5, 4, 3, 8, 2, 4, 3, 5, 4, 8, 6, 6, 4, 3, 4, 4, 3, 5, 5, 5, 5, 8, 6, 3, 5, 6, 5, 4, 4, 4, 5, 6, 6, 0, 4, 2, 4, 4, 4, 4, 6, 5, 6, 5, 6, 3, 5, 6, 3, 5, 6, 5, 5, 5, 4, 6, 2, 4, 4, 5, 5, 4, 6, 6, 7, 4, 4, 6, 5, 5, 5, 5, 7, 3, 1, 3, 9, 5, 2, 6, 5, 7, 6, 6, 5, 4, 4, 5, 8, 3, 7, 4, 4, 4, 5, 5, 2, 7, 6, 3, 6, 7, 4, 4, 2, 3, 6, 5, 4, 7, 4, 7, 4, 4, 5, 6, 3, 4, 3, 6, 4, 3, 3, 3, 3, 4, 3, 4, 7, 3, 4, 4, 6, 5, 5, 5, 4, 3, 6, 3, 2, 2, 4, 2, 6, 5, 6, 6, 6, 7, 3, 7, 3, 6, 6, 6, 4, 4, 6, 7, 5, 5, 7, 7, 2, 5, 6, 8, 5, 6, 4, 7, 2, 6, 5, 6, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 6, 3, 4, 3, 5, 5, 5, 6, 4, 5, 7, 0, 6, 3, 5, 3, 3, 3, 4, 2, 6, 5, 3, 4, 5, 5, 3, 5, 5, 6, 6, 4, 6, 6, 4, 3, 6, 2, 6, 5, 5, 4, 6, 5, 4, 6, 6, 4, 3, 2, 5, 4, 6, 8, 5, 8, 3, 6, 3, 4, 5, 6, 4, 5, 2, 5, 5, 5, 4, 5, 2, 4, 4, 3, 4, 4, 2, 4, 4, 7, 5, 5, 2, 4, 4, 6, 4, 5, 6, 5, 7, 5, 5, 6, 3, 5, 5, 7, 4, 4, 4, 4, 4, 5, 4, 2, 6, 6, 2, 6, 6, 4, 3, 4, 6, 5, 3, 5, 3, 4, 6, 4, 5, 3, 6, 5, 6, 3, 3, 5, 3, 5, 6, 4, 3, 3, 4, 4, 7, 5, 4, 6, 5, 5, 6, 3, 6, 5, 3, 3, 3, 4, 5, 1, 5, 5, 5, 4, 5, 5, 2, 6, 3, 2, 5, 4, 3, 3, 5, 4, 5, 8, 4, 6, 5, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 6, 2, 4, 5, 5, 1, 5, 4, 3, 3, 4, 7, 6, 4, 4, 6, 5, 6, 6, 6, 5, 5, 6, 4, 6, 5, 5, 4, 5, 3, 4, 6, 4, 6, 3, 6, 4, 4, 5, 4, 3, -1 5, 4, 5, 5, 3, 8, 7, 5, 6, 5, 3, 5, 4, 3, 4, 4, 4, 5, 2, 3, 4, 5, 8, 5, 5, 5, 5, 4, 5, 6, 6, 2, 6, 2, 8, 7, 4, 3, 6, 6, 5, 5, 4, 5, 4, 3, 3, 6, 6, 4, 6, 3, 4, 5, 3, 7, 5, 4, 5, 2, 7, 3, 3, 6, 5, 4, 6, 5, 6, 6, 7, 6, 2, 5, 5, 6, 4, 3, 5, 4, 2, 5, 5, 3, 3, 2, 4, 4, 4, 4, 2, 4, 7, 4, 3, 4, 5, 7, 8, 8, 3, 5, 4, 4, 3, 5, 4, 6, 6, 6, 4, 4, 3, 6, 5, 6, 5, 3, 5, 5, 4, 4, 5, 4, 6, 6, 4, 7, 6, 7, 5, 3, 7, 2, 3, 5, 1, 6, 3, 5, 4, 3, 4, 6, 4, 6, 4, 5, 4, 6, 3, 4, 3, 4, 6, 5, 6, 6, 4, 6, 5, 7, 3, 6, 4, 5, 7, 4, 7, 1, 5, 3, 4, 6, 4, 5, 5, 5, 6, 4, 7, 3, 4, 3, 7, 5, 5, 5, 5, 4, 5, 1, 3, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 6, 4, 2, 4, 4, 4, 2, 3, 4, 3, 5, 5, 7, 5, 5, 5, 2, 5, 4, 2, 3, 0, 4, 5, 4, 4, 4, 8, 4, 5, 5, 4, 2, 7, 4, 1, 3, 6, 4, 5, 7, 5, 4, 4, 3, 5, 8, 4, 4, 4, 3, 4, 3, 4, 8, 6, 7, 6, 6, 6, 4, 6, 7, 6, 4, 5, 4, 3, 3, 6, 5, 4, 4, 4, 8, 7, 6, 3, 4, 4, 3, 5, 6, 7, 5, 6, 7, 2, 6, 7, 5, 4, 3, 5, 5, 3, 5, 4, 5, 2, 3, 6, 7, 5, 4, 4, 4, 6, 5, 5, 4, 4, 6, 5, 5, 5, 6, 6, 3, 2, 4, 6, 4, 6, 6, 2, 3, 4, 6, 5, 9, 5, 5, 4, 5, 4, 5, 5, 2, 3, 4, 3, 5, 5, 4, 7, 2, 7, 5, 5, 6, 6, 3, 5, 5, 4, 3, 6, 4, 5, 3, 4, 7, 5, 4, 3, 5, 3, 1, 5, 6, 3, 5, 5, 6, 6, 4, 5, 7, 3, 5, 3, 5, 4, 5, 3, 4, 4, 5, 4, 6, 1, 5, 6, 5, 5, 3, 3, 4, 7, 6, 1, 3, 4, 5, 3, 5, 5, 3, 4, 4, 5, 4, 3, 5, 5, 4, 3, 5, 2, 2, 1, 6, 7, 3, 7, 7, 6, 3, 2, 4, 5, 3, 4, 3, 4, 7, 6, 3, 5, 6, 5, 4, 4, 6, 2, 6, 4, 4, 5, 5, 3, 4, 4, 5, 6, 4, 4, 2, 6, 3, 3, 4, 5, 3, 3, 3, 6, 5, 5, 4, 5, 4, 2, 6, 3, 4, 4, 5, 6, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 6, 5, 4, 7, -1 5, 4, 4, 5, 5, 4, 5, 5, 4, 7, 1, 4, 5, 7, 8, 5, 5, 5, 3, 6, 4, 5, 6, 5, 3, 7, 4, 3, 6, 2, 3, 4, 6, 6, 6, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 6, 5, 5, 4, 5, 6, 3, 5, 3, 6, 5, 3, 5, 1, 5, 6, 4, 6, 5, 3, 4, 4, 6, 3, 5, 6, 3, 1, 5, 5, 6, 4, 6, 5, 6, 4, 5, 2, 4, 3, 1, 2, 4, 5, 4, 2, 5, 6, 3, 4, 5, 6, 7, 6, 5, 3, 4, 6, 4, 3, 6, 6, 4, 5, 2, 3, 5, 5, 5, 4, 3, 6, 3, 4, 3, 1, 4, 6, 5, 2, 5, 4, 7, 6, 4, 5, 4, 7, 2, 3, 6, 6, 2, 4, 7, 2, 5, 4, 3, 5, 7, 6, 3, 5, 4, 6, 3, 7, 5, 6, 4, 5, 5, 4, 6, 7, 4, 5, 4, 5, 4, 2, 5, 4, 6, 3, 6, 5, 6, 5, 6, 5, 5, 6, 4, 2, 2, 0, 5, 3, 4, 7, 8, 6, 5, 7, 5, 3, 5, 3, 4, 4, 2, 3, 4, 5, 5, 2, 7, 4, 4, 4, 3, 5, 5, 3, 3, 2, 4, 2, 5, 3, 5, 6, 6, 7, 4, 4, 5, 6, 4, 6, 3, 6, 6, 3, 5, 2, 6, 5, 1, 7, 8, 7, 3, 2, 6, 6, 5, 5, 5, 2, 5, 7, 6, 6, 4, 5, 2, 4, 6, 3, 2, 5, 6, 6, 5, 4, 4, 4, 6, 4, 4, 4, 3, 5, 4, 8, 4, 4, 5, 2, 4, 7, 7, 5, 5, 5, 2, 4, 6, 5, 3, 8, 5, 5, 2, 3, 4, 7, 6, 3, 2, 6, 4, 6, 5, 4, 4, 7, 4, 6, 3, 5, 4, 2, 4, 4, 3, 3, 4, 3, 8, 6, 5, 5, 5, 5, 3, 7, 4, 5, 5, 4, 3, 1, 6, 2, 7, 5, 6, 3, 3, 3, 1, 5, 4, 4, 3, 6, 4, 4, 7, 4, 6, 4, 6, 5, 4, 6, 2, 4, 8, 4, 5, 1, 5, 6, 4, 4, 3, 4, 3, 5, 4, 3, 5, 5, 3, 4, 4, 4, 5, 3, 5, 8, 5, 3, 4, 3, 6, 5, 5, 4, 7, 4, 5, 6, 3, 3, 8, 4, 6, 7, 1, 5, 8, 6, 5, 5, 6, 5, 6, 4, 5, 6, 6, 3, 5, 4, 4, 4, 4, 4, 6, 4, 4, 5, 2, 6, 5, 3, 2, 4, 5, 6, 4, 6, 5, 5, 5, 3, 5, 3, 6, 6, 4, 4, 5, 4, 4, 5, 6, 4, 5, 5, 6, 5, 5, 5, 3, 6, 6, 5, 3, 3, 5, 5, 2, 5, 2, 4, 5, 2, 5, 1, 4, 3, 4, 4, 6, 4, 4, 2, 6, 5, 3, 4, 5, 6, 5, 6, 5, 3, 3, 5, 3, 3, 5, 6, 7, 5, 4, 4, 5, -1 4, 6, 6, 3, 2, 4, 4, 6, 3, 5, 3, 4, 7, 5, 5, 1, 3, 6, 3, 5, 7, 3, 6, 5, 5, 5, 4, 4, 3, 7, 4, 4, 5, 5, 2, 6, 5, 2, 6, 5, 5, 6, 4, 6, 6, 4, 6, 6, 3, 6, 4, 3, 4, 2, 4, 3, 4, 1, 5, 5, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 4, 3, 5, 5, 2, 7, 5, 5, 5, 5, 1, 5, 5, 5, 4, 5, 3, 3, 6, 7, 4, 6, 3, 4, 6, 7, 4, 4, 6, 5, 6, 2, 4, 1, 4, 4, 4, 6, 5, 3, 2, 2, 5, 4, 4, 6, 6, 5, 7, 3, 4, 6, 7, 5, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 6, 4, 3, 5, 6, 6, 5, 2, 2, 2, 5, 3, 5, 4, 3, 6, 6, 8, 3, 4, 5, 4, 7, 5, 3, 4, 4, 1, 4, 6, 5, 7, 4, 3, 4, 6, 4, 4, 6, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 7, 3, 6, 5, 6, 3, 4, 2, 5, 6, 2, 7, 5, 4, 6, 8, 4, 5, 5, 6, 3, 2, 1, 4, 7, 5, 6, 5, 4, 4, 4, 1, 2, 3, 4, 6, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 6, 8, 5, 4, 5, 5, 7, 5, 5, 6, 5, 5, 4, 7, 4, 3, 5, 4, 4, 4, 7, 6, 3, 5, 5, 6, 5, 3, 4, 5, 4, 3, 4, 4, 3, 3, 6, 5, 5, 6, 5, 4, 4, 7, 4, 6, 2, 6, 7, 2, 3, 5, 4, 7, 3, 4, 3, 5, 5, 3, 2, 4, 6, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 5, 6, 5, 4, 4, 7, 3, 3, 4, 4, 4, 6, 3, 5, 3, 6, 5, 6, 7, 5, 3, 5, 6, 5, 5, 5, 4, 4, 5, 4, 4, 7, 2, 5, 5, 6, 3, 2, 5, 5, 3, 4, 3, 4, 3, 6, 3, 6, 5, 5, 5, 5, 6, 7, 3, 3, 6, 3, 6, 3, 6, 5, 3, 6, 5, 6, 4, 4, 4, 2, 3, 2, 4, 6, 4, 6, 5, 8, 5, 5, 5, 6, 5, 5, 4, 4, 3, 4, 4, 4, 3, 0, 7, 6, 5, 9, 3, 4, 4, 4, 4, 6, 4, 2, 6, 3, 6, 4, 4, 2, 5, 2, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 7, 4, 4, 6, 5, 3, 2, 3, 3, 5, 7, 5, 5, 5, 4, 6, 3, 6, 3, 6, 3, 3, 6, 6, 3, 5, 4, 7, 4, 7, 3, 5, 4, 4, 3, 3, 5, 5, 3, 4, 4, 7, 4, 2, 6, 4, 4, 4, 5, 3, 6, 3, 6, 4, 6, 1, 4, 5, 3, 6, 5, 6, 4, 5, 1, 4, 4, 6, 4, 2, -1 6, 4, 5, 7, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 6, 5, 4, 4, 5, 3, 1, 6, 6, 3, 5, 3, 3, 2, 6, 5, 4, 5, 5, 3, 6, 4, 6, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 7, 4, 4, 5, 3, 8, 5, 5, 4, 6, 4, 6, 5, 5, 3, 3, 4, 6, 6, 7, 5, 5, 3, 6, 2, 6, 3, 3, 4, 3, 2, 6, 4, 4, 5, 7, 0, 4, 3, 6, 4, 4, 4, 5, 4, 7, 4, 0, 7, 9, 4, 4, 4, 5, 5, 5, 6, 4, 2, 5, 3, 5, 5, 4, 5, 6, 4, 5, 4, 4, 2, 7, 1, 3, 4, 4, 2, 6, 6, 7, 3, 3, 6, 6, 7, 4, 5, 6, 4, 2, 3, 6, 4, 5, 3, 7, 7, 5, 6, 9, 4, 5, 7, 3, 4, 6, 3, 3, 5, 3, 5, 1, 5, 6, 5, 0, 7, 3, 3, 2, 5, 5, 3, 4, 3, 2, 7, 4, 3, 5, 3, 3, 4, 4, 2, 4, 5, 6, 5, 5, 5, 3, 4, 6, 4, 5, 7, 6, 4, 4, 5, 6, 4, 7, 5, 0, 2, 3, 4, 4, 4, 4, 3, 8, 2, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 6, 4, 4, 2, 6, 4, 4, 4, 4, 5, 4, 3, 6, 4, 4, 3, 7, 6, 3, 3, 4, 4, 4, 4, 5, 2, 2, 3, 5, 4, 3, 4, 5, 4, 4, 4, 3, 4, 8, 3, 5, 4, 5, 4, 7, 4, 6, 5, 4, 4, 7, 6, 4, 3, 4, 4, 7, 4, 4, 3, 3, 6, 4, 5, 5, 5, 4, 3, 4, 0, 3, 5, 3, 6, 5, 5, 5, 6, 3, 3, 2, 5, 5, 5, 3, 6, 3, 2, 6, 5, 3, 5, 3, 3, 6, 5, 5, 2, 6, 4, 7, 4, 5, 4, 2, 5, 4, 4, 3, 5, 6, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 6, 3, 1, 5, 5, 5, 7, 6, 6, 6, 3, 2, 4, 3, 6, 2, 4, 1, 4, 7, 6, 3, 4, 4, 4, 3, 4, 4, 5, 7, 3, 6, 4, 5, 6, 4, 5, 4, 4, 5, 4, 3, 4, 4, 7, 6, 2, 5, 5, 9, 1, 5, 4, 3, 8, 2, 2, 3, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 7, 5, 5, 4, 6, 5, 4, 3, 2, 6, 2, 5, 5, 6, 5, 5, 7, 5, 5, 3, 6, 1, 6, 5, 3, 3, 6, 6, 7, 1, 6, 5, 4, 4, 2, 5, 7, 3, 6, 3, 4, 6, 5, 4, 5, 4, 8, 6, 4, 3, 4, 3, 7, 3, 4, 5, 5, 2, 5, 2, 5, 5, 3, 7, 4, 4, 6, 5, 4, 5, 6, 6, 4, 4, -1 3, 4, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 4, 2, 5, 5, 5, 5, 5, 3, 5, 6, 4, 6, 6, 3, 2, 3, 6, 5, 4, 5, 3, 6, 5, 6, 3, 6, 4, 2, 3, 6, 5, 1, 4, 3, 5, 4, 5, 3, 2, 4, 4, 2, 4, 7, 6, 2, 5, 5, 5, 6, 2, 2, 5, 5, 5, 6, 2, 4, 4, 9, 4, 4, 4, 6, 5, 4, 6, 6, 3, 4, 2, 2, 3, 5, 3, 3, 4, 3, 4, 1, 3, 6, 4, 4, 6, 4, 4, 3, 5, 4, 5, 4, 3, 5, 7, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 3, 2, 3, 5, 3, 6, 5, 6, 3, 4, 7, 5, 5, 5, 6, 7, 6, 3, 7, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 2, 5, 5, 4, 7, 6, 8, 3, 4, 2, 4, 6, 5, 3, 6, 3, 3, 6, 3, 2, 4, 7, 2, 6, 6, 4, 4, 3, 4, 4, 6, 5, 5, 5, 4, 2, 4, 4, 3, 6, 5, 6, 4, 4, 5, 1, 3, 3, 3, 4, 3, 5, 4, 3, 4, 4, 5, 4, 2, 5, 3, 6, 3, 4, 3, 5, 6, 6, 5, 3, 3, 5, 6, 4, 7, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 2, 4, 5, 5, 2, 4, 4, 7, 5, 4, 6, 1, 7, 5, 5, 3, 7, 4, 6, 4, 5, 3, 5, 3, 5, 5, 4, 3, 2, 4, 0, 6, 3, 3, 4, 5, 4, 3, 4, 6, 3, 6, 3, 5, 7, 4, 3, 3, 6, 3, 3, 5, 4, 5, 7, 7, 4, 4, 4, 6, 5, 3, 8, 4, 5, 6, 4, 8, 3, 3, 6, 5, 7, 6, 3, 3, 2, 5, 6, 5, 5, 6, 4, 5, 4, 7, 7, 6, 9, 3, 8, 6, 4, 4, 3, 6, 4, 7, 5, 4, 5, 7, 4, 4, 5, 4, 5, 4, 8, 3, 7, 4, 4, 4, 7, 5, 4, 4, 4, 4, 4, 6, 8, 5, 5, 4, 2, 3, 3, 2, 3, 3, 2, 4, 3, 5, 5, 6, 4, 4, 7, 5, 4, 5, 4, 7, 2, 5, 4, 2, 4, 5, 5, 6, 4, 3, 4, 7, 6, 3, 3, 5, 4, 5, 4, 3, 4, 6, 3, 5, 4, 5, 5, 5, 7, 5, 3, 2, 7, 4, 4, 6, 5, 3, 4, 3, 4, 4, 4, 2, 6, 5, 4, 5, 4, 3, 5, 5, 7, 5, 4, 6, 4, 0, 5, 4, 5, 7, 3, 1, 4, 3, 4, 2, 2, 4, 6, 4, 7, 2, 6, 3, 3, 5, 6, 4, 5, 4, 4, 5, 5, 4, 5, 5, 7, 6, 5, 5, 4, 4, 5, 2, 3, 3, 6, 8, 4, 5, 3, 5, 6, 5, 2, 6, 5, 6, 6, 4, 3, 6, 3, 3, 2, 4, 6, 5, 4, 5, 4, 1 2, 2, 5, 4, 2, 2, 5, 5, 3, 4, 6, 1, 4, 3, 7, 6, 5, 6, 2, 5, 9, 6, 5, 3, 5, 4, 7, 4, 2, 5, 7, 3, 3, 2, 6, 7, 4, 4, 7, 6, 4, 6, 5, 5, 5, 5, 4, 6, 5, 3, 2, 4, 6, 5, 7, 6, 6, 3, 5, 5, 7, 6, 4, 4, 5, 4, 5, 7, 5, 5, 5, 4, 4, 5, 4, 4, 9, 3, 6, 3, 5, 3, 4, 3, 4, 5, 7, 5, 4, 3, 4, 3, 6, 5, 4, 6, 1, 4, 5, 5, 2, 3, 4, 5, 1, 4, 5, 4, 1, 3, 5, 4, 6, 5, 4, 6, 5, 3, 6, 7, 4, 4, 4, 6, 8, 5, 4, 4, 4, 6, 6, 4, 2, 8, 3, 2, 6, 4, 4, 4, 4, 4, 3, 2, 7, 6, 5, 3, 3, 6, 3, 3, 4, 6, 5, 4, 6, 4, 6, 6, 4, 3, 5, 6, 4, 5, 4, 5, 3, 4, 7, 6, 6, 4, 3, 5, 6, 3, 4, 2, 4, 4, 5, 3, 3, 5, 7, 6, 5, 5, 4, 7, 6, 3, 5, 5, 2, 4, 5, 4, 4, 2, 4, 5, 5, 5, 7, 5, 4, 5, 3, 4, 3, 7, 6, 5, 4, 5, 4, 6, 4, 3, 2, 3, 5, 5, 6, 5, 4, 5, 4, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 2, 2, 3, 5, 4, 3, 7, 3, 4, 6, 4, 5, 4, 7, 7, 6, 6, 4, 6, 5, 5, 4, 4, 2, 2, 7, 4, 4, 3, 7, 3, 6, 6, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 4, 1, 2, 4, 4, 5, 6, 2, 5, 3, 4, 8, 6, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 2, 5, 6, 7, 6, 4, 5, 3, 5, 4, 5, 2, 6, 4, 2, 5, 5, 6, 4, 5, 4, 4, 6, 4, 6, 3, 4, 5, 6, 5, 3, 3, 4, 4, 4, 3, 4, 5, 6, 5, 7, 4, 3, 5, 5, 6, 4, 4, 3, 7, 6, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 3, 4, 2, 5, 5, 4, 8, 5, 7, 4, 5, 4, 2, 5, 6, 4, 4, 4, 8, 4, 7, 5, 3, 2, 4, 5, 5, 6, 6, 3, 6, 4, 1, 4, 5, 7, 2, 6, 3, 5, 3, 4, 6, 3, 5, 5, 3, 4, 3, 3, 4, 6, 4, 4, 6, 7, 6, 8, 3, 3, 5, 7, 2, 4, 5, 7, 5, 3, 4, 2, 6, 6, 3, 5, 4, 6, 4, 5, 2, 4, 4, 3, 5, 6, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 2, 5, 4, 5, 4, 6, 3, 5, 4, 6, 6, 4, 3, 5, 4, 6, 5, 4, 6, 4, 3, 4, 2, 1 2, 6, 4, 5, 6, 3, 3, 4, 3, 5, 4, 4, 5, 6, 5, 6, 6, 5, 3, 4, 5, 5, 6, 4, 6, 5, 0, 5, 6, 5, 4, 5, 1, 3, 7, 6, 6, 8, 4, 4, 6, 5, 7, 5, 3, 4, 4, 5, 3, 4, 5, 7, 4, 5, 4, 5, 6, 6, 3, 6, 5, 6, 3, 2, 5, 4, 3, 6, 5, 4, 4, 6, 5, 4, 5, 6, 2, 4, 6, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 1, 2, 0, 3, 6, 6, 4, 3, 6, 6, 5, 3, 3, 3, 5, 5, 4, 6, 6, 4, 5, 3, 5, 3, 4, 3, 5, 4, 5, 3, 4, 4, 4, 6, 5, 5, 5, 4, 6, 5, 5, 4, 3, 5, 5, 4, 6, 1, 6, 5, 4, 3, 7, 3, 3, 3, 6, 3, 4, 5, 8, 7, 7, 3, 6, 4, 5, 7, 4, 5, 2, 9, 4, 4, 1, 3, 5, 5, 2, 3, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 7, 2, 6, 4, 5, 6, 6, 1, 4, 4, 5, 4, 7, 3, 3, 5, 5, 3, 6, 6, 4, 5, 4, 5, 2, 3, 7, 2, 4, 5, 4, 3, 3, 3, 5, 6, 3, 5, 4, 5, 6, 4, 6, 6, 6, 2, 5, 3, 5, 5, 3, 5, 4, 4, 4, 2, 3, 5, 5, 5, 7, 7, 8, 5, 4, 4, 3, 4, 4, 7, 3, 3, 4, 6, 2, 5, 6, 5, 3, 3, 5, 8, 6, 2, 5, 4, 6, 6, 3, 4, 3, 7, 4, 5, 6, 6, 6, 1, 3, 6, 4, 5, 6, 4, 2, 3, 5, 5, 3, 3, 4, 7, 4, 4, 3, 4, 3, 2, 3, 8, 5, 7, 2, 3, 5, 3, 2, 5, 4, 3, 3, 3, 2, 5, 6, 4, 5, 4, 5, 5, 6, 5, 5, 7, 4, 4, 5, 4, 3, 7, 4, 5, 4, 4, 3, 3, 6, 4, 4, 4, 2, 5, 6, 5, 3, 6, 6, 3, 5, 4, 5, 4, 6, 4, 3, 3, 8, 6, 4, 4, 1, 6, 4, 3, 1, 5, 4, 5, 3, 4, 3, 4, 5, 2, 3, 4, 4, 3, 5, 3, 8, 4, 4, 4, 2, 5, 6, 5, 5, 0, 4, 7, 5, 6, 6, 6, 3, 4, 6, 3, 4, 6, 5, 6, 7, 5, 6, 3, 7, 1, 2, 4, 4, 6, 3, 2, 7, 5, 4, 1, 6, 3, 4, 5, 6, 5, 4, 3, 6, 4, 3, 5, 7, 4, 3, 4, 4, 5, 5, 2, 3, 5, 4, 7, 4, 5, 5, 5, 7, 4, 4, 5, 5, 1, 4, 5, 7, 4, 4, 6, 3, 3, 3, 6, 5, 4, 4, 5, 5, 4, 3, 1, 3, 5, 4, 6, 3, 6, 3, 5, 3, 5, 3, 3, 2, 9, 4, 4, 6, 4, 3, 5, 3, 6, 8, -1 4, 4, 3, 4, 4, 5, 5, 5, 3, 4, 2, 5, 6, 3, 6, 6, 5, 4, 4, 5, 4, 5, 5, 6, 5, 5, 5, 7, 3, 4, 3, 5, 2, 5, 5, 3, 2, 4, 5, 5, 4, 4, 5, 4, 4, 6, 6, 5, 2, 4, 4, 2, 5, 3, 6, 3, 4, 4, 3, 6, 7, 6, 5, 4, 4, 4, 3, 3, 4, 7, 7, 5, 3, 5, 2, 6, 4, 5, 3, 3, 3, 4, 1, 3, 6, 6, 5, 5, 4, 2, 4, 5, 7, 5, 6, 3, 4, 6, 3, 4, 4, 3, 4, 6, 6, 4, 5, 3, 3, 5, 5, 5, 4, 7, 4, 4, 4, 5, 4, 8, 4, 5, 5, 3, 8, 5, 4, 5, 5, 6, 4, 3, 5, 5, 5, 2, 3, 6, 4, 4, 4, 3, 4, 4, 5, 3, 2, 6, 7, 5, 6, 6, 5, 5, 4, 3, 5, 6, 4, 5, 8, 2, 8, 6, 3, 2, 5, 7, 6, 1, 4, 5, 7, 4, 3, 3, 5, 1, 5, 5, 6, 3, 4, 5, 6, 4, 4, 5, 4, 4, 6, 3, 3, 5, 5, 6, 3, 4, 6, 3, 5, 5, 2, 6, 2, 2, 7, 3, 5, 6, 3, 6, 3, 5, 5, 6, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 5, 6, 3, 5, 4, 3, 4, 4, 3, 2, 4, 5, 6, 7, 5, 5, 5, 4, 1, 5, 2, 3, 5, 5, 4, 6, 7, 3, 2, 4, 5, 4, 4, 5, 1, 4, 6, 2, 4, 6, 0, 1, 2, 5, 0, 8, 3, 2, 2, 4, 6, 6, 4, 3, 5, 5, 5, 3, 6, 5, 4, 4, 4, 6, 6, 5, 7, 5, 4, 6, 4, 3, 4, 4, 6, 5, 4, 5, 7, 5, 4, 5, 6, 3, 3, 3, 5, 4, 3, 6, 2, 3, 6, 4, 5, 4, 5, 4, 7, 6, 5, 7, 3, 5, 5, 2, 5, 6, 2, 3, 4, 4, 4, 6, 2, 5, 2, 4, 3, 7, 5, 3, 2, 5, 4, 7, 6, 3, 1, 3, 5, 4, 5, 3, 6, 6, 2, 5, 3, 7, 5, 6, 3, 6, 5, 5, 6, 4, 5, 3, 6, 2, 4, 3, 5, 4, 5, 3, 5, 4, 3, 5, 3, 5, 7, 2, 6, 2, 5, 7, 6, 5, 2, 3, 5, 4, 7, 7, 5, 4, 6, 5, 8, 5, 4, 5, 3, 4, 3, 2, 7, 3, 3, 4, 6, 6, 7, 4, 7, 6, 4, 4, 4, 4, 2, 2, 5, 4, 3, 5, 5, 5, 7, 2, 3, 6, 4, 6, 4, 6, 3, 5, 6, 6, 3, 4, 6, 4, 3, 2, 5, 6, 3, 8, 4, 2, 0, 3, 3, 3, 4, 3, 5, 3, 6, 6, 4, 2, 5, 7, 4, 4, 3, 6, 6, 5, 6, 3, 4, 5, 3, 4, 4, 5, 3, 5, 6, 4, 5, 3, 4, 5, 2, 1 3, 3, 5, 2, 4, 4, 5, 5, 6, 3, 4, 2, 5, 6, 4, 5, 2, 4, 6, 6, 5, 5, 5, 5, 5, 5, 3, 4, 3, 3, 5, 6, 5, 6, 8, 4, 5, 4, 3, 1, 2, 5, 4, 4, 3, 3, 4, 6, 3, 6, 5, 3, 5, 3, 3, 5, 5, 4, 6, 2, 6, 5, 2, 6, 7, 5, 5, 5, 5, 4, 3, 7, 7, 4, 3, 5, 3, 4, 3, 8, 2, 3, 1, 5, 3, 7, 5, 6, 3, 4, 7, 3, 6, 2, 4, 5, 6, 5, 7, 3, 6, 5, 5, 3, 3, 3, 4, 3, 5, 6, 6, 5, 7, 6, 6, 5, 4, 5, 4, 2, 5, 5, 8, 3, 5, 5, 3, 6, 3, 6, 3, 3, 4, 4, 4, 4, 7, 3, 5, 3, 3, 5, 2, 4, 6, 7, 4, 5, 5, 7, 2, 6, 5, 7, 5, 3, 7, 4, 6, 5, 2, 4, 6, 3, 4, 4, 4, 7, 4, 3, 5, 1, 6, 7, 4, 1, 5, 3, 6, 6, 6, 5, 3, 2, 6, 8, 4, 7, 6, 5, 4, 4, 6, 6, 5, 7, 5, 5, 5, 3, 8, 6, 5, 6, 4, 3, 5, 5, 5, 4, 6, 4, 4, 3, 2, 6, 2, 2, 4, 6, 4, 5, 5, 4, 8, 5, 4, 4, 6, 5, 7, 4, 2, 3, 4, 4, 4, 1, 5, 2, 4, 3, 5, 1, 2, 4, 4, 4, 3, 6, 3, 6, 2, 5, 4, 5, 6, 3, 4, 4, 4, 5, 5, 5, 5, 7, 3, 5, 2, 7, 4, 4, 6, 5, 3, 2, 4, 4, 4, 4, 8, 8, 6, 5, 5, 5, 8, 4, 4, 6, 9, 4, 8, 5, 4, 8, 2, 4, 4, 4, 4, 6, 6, 4, 7, 3, 4, 5, 6, 6, 4, 6, 4, 5, 4, 3, 4, 3, 3, 6, 3, 5, 9, 4, 3, 6, 3, 6, 4, 3, 4, 5, 4, 3, 6, 9, 7, 4, 4, 3, 4, 5, 5, 4, 4, 7, 5, 4, 3, 3, 4, 3, 3, 6, 3, 4, 4, 3, 4, 4, 6, 2, 5, 3, 6, 4, 5, 1, 5, 5, 5, 3, 5, 4, 6, 4, 3, 5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 6, 6, 3, 6, 6, 4, 5, 6, 6, 2, 5, 3, 4, 6, 6, 3, 5, 6, 5, 5, 2, 4, 5, 3, 5, 3, 3, 5, 5, 5, 4, 5, 6, 4, 6, 4, 7, 6, 5, 7, 4, 2, 4, 4, 5, 7, 6, 3, 5, 6, 4, 6, 0, 4, 5, 4, 2, 5, 4, 3, 6, 7, 4, 3, 4, 7, 4, 5, 3, 7, 6, 5, 3, 5, 4, 7, 5, 5, 4, 5, 7, 7, 4, 5, 5, 4, 3, 2, 8, 2, 4, 5, 7, 3, 5, 5, 6, 4, 6, 5, 4, 3, 5, 4, 4, 6, 5, 3, 4, 4, 6, 5, -1 6, 4, 6, 3, 5, 0, 3, 3, 4, 3, 4, 4, 4, 5, 6, 2, 5, 6, 5, 7, 5, 4, 4, 7, 4, 3, 3, 3, 3, 6, 5, 6, 3, 2, 8, 6, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 7, 4, 1, 4, 3, 1, 5, 4, 4, 6, 4, 4, 2, 6, 5, 6, 0, 3, 6, 5, 5, 6, 2, 6, 3, 5, 3, 3, 4, 7, 4, 3, 4, 3, 1, 5, 6, 4, 4, 2, 3, 4, 3, 7, 4, 5, 6, 2, 4, 3, 6, 5, 4, 4, 4, 3, 3, 7, 4, 1, 5, 3, 3, 5, 5, 6, 5, 4, 5, 4, 5, 3, 6, 5, 2, 5, 4, 4, 5, 8, 2, 6, 1, 4, 3, 3, 2, 4, 3, 5, 2, 5, 4, 4, 3, 3, 5, 6, 2, 4, 1, 3, 3, 4, 4, 5, 5, 3, 4, 5, 6, 5, 4, 4, 6, 2, 5, 6, 4, 5, 5, 4, 2, 5, 6, 5, 6, 3, 5, 6, 4, 6, 5, 2, 6, 5, 4, 4, 1, 4, 5, 6, 6, 4, 6, 5, 3, 5, 4, 4, 3, 5, 1, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 6, 5, 6, 1, 5, 5, 4, 4, 5, 5, 4, 5, 2, 4, 5, 6, 7, 8, 5, 4, 5, 7, 3, 4, 2, 6, 5, 5, 5, 5, 6, 6, 3, 5, 6, 5, 5, 7, 4, 4, 4, 3, 4, 6, 5, 6, 5, 4, 4, 2, 2, 4, 6, 4, 3, 3, 6, 6, 7, 5, 4, 5, 2, 6, 4, 4, 5, 4, 3, 3, 4, 5, 2, 6, 3, 6, 5, 4, 6, 4, 4, 7, 4, 7, 4, 2, 4, 4, 3, 6, 4, 3, 3, 2, 1, 5, 7, 3, 7, 4, 5, 3, 2, 3, 4, 4, 2, 4, 7, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 6, 3, 7, 4, 4, 5, 6, 3, 6, 5, 8, 7, 4, 5, 5, 4, 5, 4, 5, 7, 3, 5, 5, 3, 2, 5, 2, 2, 6, 5, 4, 6, 4, 3, 4, 6, 2, 2, 6, 5, 5, 5, 1, 4, 5, 3, 3, 7, 4, 6, 1, 3, 4, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 2, 4, 5, 2, 6, 7, 5, 6, 5, 6, 3, 5, 7, 5, 6, 5, 5, 6, 4, 2, 4, 4, 6, 5, 4, 4, 5, 4, 4, 2, 2, 3, 4, 4, 4, 6, 7, 5, 4, 6, 5, 6, 3, 3, 5, 3, 5, 5, 6, 4, 4, 7, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 6, 4, 3, 4, 5, 4, 6, 4, 2, 5, 4, 6, 5, 5, 4, 5, 5, 7, 4, 6, 2, 3, 3, 4, 3, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 3, 5, 3, 3, 5, 5, 5, 5, 4, 4, 1 4, 5, 3, 4, 6, 6, 2, 5, 4, 6, 4, 5, 4, 6, 7, 5, 5, 3, 6, 3, 4, 5, 4, 6, 5, 6, 4, 4, 6, 6, 4, 7, 4, 4, 4, 7, 4, 4, 4, 4, 4, 5, 6, 2, 7, 7, 4, 3, 2, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 5, 3, 3, 5, 3, 5, 6, 2, 3, 6, 5, 6, 2, 8, 1, 3, 5, 1, 3, 4, 4, 4, 9, 6, 4, 3, 5, 3, 4, 4, 2, 4, 7, 3, 4, 8, 4, 5, 6, 5, 4, 4, 0, 4, 4, 5, 4, 5, 4, 6, 4, 6, 6, 4, 5, 7, 7, 5, 3, 6, 5, 6, 4, 2, 4, 7, 5, 7, 4, 6, 8, 3, 3, 3, 5, 3, 3, 4, 2, 6, 5, 5, 3, 5, 3, 7, 3, 6, 5, 4, 3, 2, 3, 6, 5, 4, 4, 6, 6, 1, 4, 4, 7, 1, 6, 2, 4, 5, 4, 5, 4, 6, 6, 5, 5, 6, 4, 4, 4, 6, 5, 2, 5, 6, 6, 4, 4, 4, 7, 4, 4, 4, 3, 4, 6, 3, 4, 3, 2, 4, 1, 1, 1, 4, 4, 8, 6, 4, 4, 4, 4, 5, 5, 6, 2, 4, 2, 3, 5, 3, 3, 4, 3, 4, 4, 4, 6, 5, 7, 3, 2, 4, 2, 6, 3, 5, 5, 5, 6, 4, 3, 5, 3, 5, 4, 3, 4, 8, 5, 4, 5, 5, 5, 1, 1, 6, 4, 5, 5, 8, 7, 5, 6, 5, 3, 4, 3, 3, 7, 3, 6, 5, 5, 5, 4, 4, 5, 2, 4, 2, 5, 4, 6, 6, 6, 2, 3, 5, 3, 8, 6, 7, 4, 5, 5, 3, 4, 4, 6, 3, 4, 4, 3, 7, 5, 4, 4, 6, 4, 4, 5, 4, 6, 2, 6, 3, 7, 6, 5, 5, 3, 4, 6, 3, 6, 3, 4, 2, 7, 6, 4, 5, 6, 4, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 5, 5, 5, 6, 4, 3, 3, 2, 4, 4, 5, 4, 6, 4, 5, 4, 5, 5, 4, 6, 4, 3, 1, 2, 4, 6, 6, 5, 5, 5, 4, 2, 5, 3, 5, 7, 4, 4, 3, 5, 5, 5, 5, 4, 4, 6, 7, 5, 5, 6, 5, 4, 4, 4, 2, 0, 4, 6, 2, 3, 3, 4, 5, 4, 4, 5, 2, 7, 5, 6, 4, 4, 5, 4, 5, 3, 3, 3, 6, 6, 6, 4, 4, 3, 2, 2, 5, 4, 5, 3, 5, 4, 2, 4, 6, 6, 4, 4, 5, 3, 3, 3, 2, 3, 3, 6, 5, 2, 5, 3, 2, 3, 3, 3, 5, 3, 5, 6, 6, 4, 5, 3, 4, 2, 7, 2, 5, 3, 4, 6, 5, 3, 4, 4, 4, 5, 7, 3, 5, 6, 3, 4, 5, 3, 1 6, 3, 4, 5, 4, 4, 4, 6, 2, 2, 5, 4, 6, 1, 7, 5, 5, 3, 4, 4, 4, 4, 3, 3, 2, 6, 1, 6, 5, 4, 4, 4, 5, 4, 7, 4, 6, 5, 4, 2, 5, 6, 3, 3, 2, 6, 3, 4, 6, 6, 5, 2, 3, 4, 5, 4, 3, 1, 3, 5, 6, 4, 5, 6, 2, 3, 2, 6, 5, 8, 6, 3, 3, 3, 5, 5, 5, 6, 6, 4, 4, 5, 5, 3, 3, 6, 5, 6, 5, 4, 4, 5, 3, 5, 3, 6, 0, 4, 7, 3, 5, 7, 2, 4, 4, 6, 5, 1, 5, 4, 5, 4, 5, 4, 2, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 7, 4, 5, 6, 5, 3, 4, 6, 6, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 6, 4, 5, 5, 6, 3, 6, 5, 5, 2, 6, 9, 5, 3, 6, 5, 6, 6, 6, 2, 7, 4, 6, 6, 4, 4, 0, 6, 5, 4, 5, 7, 3, 2, 3, 2, 6, 3, 5, 4, 3, 4, 6, 6, 4, 3, 5, 3, 4, 3, 5, 2, 5, 4, 4, 3, 4, 3, 4, 4, 6, 5, 6, 5, 1, 3, 4, 6, 4, 5, 6, 5, 4, 3, 4, 6, 6, 6, 4, 4, 5, 2, 5, 3, 6, 6, 4, 4, 4, 6, 5, 5, 4, 5, 6, 3, 7, 7, 4, 5, 5, 3, 5, 5, 5, 3, 6, 4, 4, 5, 1, 8, 5, 3, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 6, 5, 4, 4, 5, 4, 4, 3, 3, 6, 2, 4, 5, 4, 3, 4, 3, 5, 6, 6, 6, 3, 0, 6, 5, 4, 3, 3, 8, 4, 5, 3, 3, 5, 4, 4, 3, 5, 6, 2, 6, 4, 4, 6, 5, 5, 5, 5, 6, 4, 5, 4, 4, 6, 5, 5, 5, 3, 3, 6, 4, 4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 5, 6, 4, 4, 3, 5, 4, 4, 4, 5, 5, 7, 5, 4, 5, 7, 6, 6, 6, 1, 6, 3, 7, 5, 4, 2, 4, 4, 4, 5, 7, 6, 6, 5, 3, 6, 7, 3, 3, 5, 5, 5, 1, 8, 4, 4, 4, 4, 3, 4, 4, 4, 3, 6, 3, 4, 3, 6, 5, 4, 3, 6, 5, 3, 5, 8, 4, 3, 2, 2, 7, 3, 5, 2, 6, 6, 2, 6, 4, 6, 7, 4, 7, 3, 4, 6, 5, 2, 4, 5, 5, 2, 4, 4, 5, 4, 3, 3, 2, 4, 4, 5, 5, 7, 5, 3, 4, 6, 4, 5, 3, 3, 4, 4, 3, 5, 5, 6, 0, 6, 3, 5, 9, 3, 3, 5, 6, 6, 4, 5, 4, 1, 5, 7, 3, 5, 4, 3, 2, 5, 4, 3, 3, 3, 5, 3, 3, 3, 5, 3, 7, 2, 3, 3, 5, 6, 5, 2, 1 4, 4, 5, 1, 4, 5, 4, 4, 5, 2, 5, 5, 5, 9, 4, 7, 7, 4, 6, 4, 4, 5, 2, 4, 4, 3, 6, 4, 7, 8, 4, 6, 5, 4, 5, 7, 5, 5, 5, 3, 4, 5, 4, 6, 3, 6, 5, 2, 4, 5, 4, 5, 3, 3, 5, 5, 4, 3, 4, 6, 6, 4, 7, 4, 5, 4, 5, 7, 5, 5, 4, 6, 6, 5, 5, 6, 3, 6, 3, 1, 5, 2, 2, 5, 4, 4, 7, 5, 5, 6, 4, 3, 3, 1, 3, 6, 6, 2, 6, 6, 3, 6, 6, 4, 4, 5, 7, 4, 5, 4, 6, 7, 5, 6, 5, 5, 6, 4, 5, 5, 4, 5, 7, 2, 3, 4, 3, 4, 6, 6, 6, 5, 6, 5, 6, 3, 3, 5, 6, 7, 4, 5, 5, 0, 5, 5, 3, 5, 3, 5, 6, 6, 5, 3, 6, 4, 6, 4, 5, 3, 8, 6, 2, 6, 4, 2, 5, 4, 6, 4, 1, 8, 7, 4, 3, 5, 5, 5, 4, 4, 3, 4, 4, 2, 5, 7, 5, 4, 5, 4, 5, 4, 5, 7, 5, 7, 8, 2, 4, 4, 2, 5, 7, 3, 3, 6, 4, 6, 4, 4, 6, 5, 3, 3, 6, 6, 4, 5, 5, 5, 3, 7, 4, 5, 4, 4, 5, 6, 6, 5, 5, 4, 3, 4, 4, 2, 6, 5, 6, 4, 7, 3, 3, 4, 4, 4, 6, 2, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 6, 4, 3, 3, 3, 5, 5, 2, 4, 4, 5, 5, 4, 2, 6, 3, 6, 6, 9, 2, 2, 7, 1, 3, 5, 3, 3, 6, 4, 6, 2, 4, 5, 5, 2, 4, 3, 3, 5, 4, 3, 5, 5, 7, 5, 6, 6, 5, 3, 5, 7, 4, 3, 2, 4, 8, 5, 5, 4, 4, 8, 4, 1, 4, 5, 4, 3, 3, 6, 5, 3, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 3, 5, 4, 1, 4, 6, 2, 7, 4, 4, 7, 4, 4, 5, 4, 4, 5, 3, 5, 6, 6, 6, 6, 3, 5, 4, 5, 4, 5, 5, 3, 6, 7, 6, 3, 4, 3, 4, 4, 5, 4, 2, 5, 2, 5, 5, 5, 5, 6, 6, 4, 4, 2, 6, 4, 5, 5, 6, 8, 6, 5, 5, 3, 6, 5, 4, 3, 5, 4, 7, 5, 2, 5, 5, 3, 3, 5, 3, 4, 2, 3, 4, 2, 4, 4, 4, 7, 6, 6, 4, 4, 3, 5, 3, 5, 4, 3, 6, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 6, 4, 7, 4, 5, 5, 3, 2, 6, 5, 5, 4, 5, 2, 5, 5, 6, 7, 4, 2, 5, 4, 2, 5, 1, 5, 2, 5, 2, 5, 1, 4, 5, 6, 5, 5, 5, 2, 4, 4, 7, 6, 6, 4, 5, 6, 7, 6, 3, 4, 2, 1 5, 2, 2, 1, 5, 6, 5, 4, 2, 5, 5, 2, 6, 3, 7, 6, 5, 3, 9, 6, 7, 6, 2, 5, 6, 4, 2, 3, 6, 5, 4, 6, 4, 2, 5, 5, 7, 6, 3, 3, 6, 4, 5, 4, 3, 3, 4, 5, 3, 6, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 5, 3, 5, 3, 3, 6, 3, 3, 3, 7, 3, 5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 5, 2, 4, 5, 3, 4, 5, 4, 3, 7, 4, 6, 4, 6, 5, 4, 7, 5, 3, 6, 6, 4, 2, 4, 6, 6, 3, 6, 4, 4, 4, 5, 4, 5, 7, 5, 4, 5, 3, 2, 5, 0, 7, 7, 8, 6, 8, 7, 7, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 2, 6, 6, 3, 6, 6, 6, 2, 4, 5, 4, 4, 4, 5, 6, 4, 5, 5, 5, 4, 7, 2, 3, 7, 5, 5, 7, 3, 6, 4, 3, 6, 5, 7, 7, 5, 4, 4, 4, 6, 5, 4, 3, 4, 4, 6, 4, 2, 4, 4, 5, 3, 2, 4, 3, 3, 2, 4, 4, 6, 3, 5, 5, 7, 3, 2, 5, 7, 3, 2, 5, 4, 5, 4, 3, 7, 5, 3, 3, 5, 4, 3, 2, 7, 3, 3, 5, 5, 6, 5, 4, 4, 5, 3, 4, 6, 5, 4, 3, 3, 4, 5, 5, 7, 6, 4, 6, 4, 5, 3, 5, 3, 2, 5, 5, 5, 4, 6, 3, 4, 6, 5, 3, 3, 4, 2, 7, 4, 2, 4, 4, 5, 5, 4, 7, 6, 4, 6, 5, 3, 5, 6, 3, 3, 6, 7, 1, 5, 5, 4, 5, 3, 3, 3, 6, 4, 3, 2, 6, 5, 4, 7, 5, 4, 6, 4, 4, 4, 5, 3, 3, 4, 1, 6, 5, 4, 5, 3, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 2, 7, 5, 2, 7, 3, 4, 2, 7, 2, 3, 5, 4, 5, 3, 4, 4, 4, 6, 2, 5, 4, 5, 7, 7, 8, 6, 5, 4, 6, 2, 6, 4, 3, 4, 2, 5, 6, 2, 3, 5, 6, 7, 6, 5, 6, 4, 4, 4, 3, 4, 3, 4, 6, 6, 4, 4, 6, 2, 4, 6, 2, 7, 5, 7, 4, 7, 3, 7, 5, 5, 3, 5, 6, 3, 5, 0, 5, 5, 3, 6, 4, 4, 6, 4, 5, 4, 3, 1, 5, 4, 5, 4, 3, 4, 4, 5, 8, 5, 8, 4, 4, 5, 4, 6, 4, 3, 8, 4, 4, 5, 6, 5, 4, 5, 4, 2, 5, 4, 4, 4, 6, 6, 5, 6, 4, 2, 6, 2, 3, 3, 4, 6, 5, 5, 5, 4, 3, 6, 3, 3, 5, 4, 4, 6, 3, 5, 3, 5, 3, 5, 4, 7, 5, 1, 6, 3, 6, 3, 2, 4, 4, 4, 5, 6, 3, 4, 4, 3, 5, 5, -1 3, 6, 6, 5, 5, 4, 4, 6, 4, 6, 5, 4, 6, 8, 5, 8, 6, 6, 5, 7, 4, 5, 6, 4, 3, 4, 2, 5, 3, 6, 6, 5, 5, 3, 6, 1, 5, 5, 7, 3, 7, 3, 3, 1, 4, 6, 5, 4, 4, 4, 5, 4, 5, 3, 5, 2, 5, 4, 1, 4, 6, 5, 5, 5, 5, 3, 5, 4, 6, 4, 6, 7, 4, 4, 4, 7, 7, 5, 3, 5, 3, 3, 4, 5, 3, 4, 3, 2, 3, 4, 7, 4, 5, 6, 3, 4, 4, 7, 4, 6, 8, 5, 2, 5, 1, 4, 5, 4, 5, 4, 2, 3, 3, 6, 3, 4, 5, 2, 5, 4, 3, 5, 5, 5, 6, 3, 5, 7, 5, 4, 3, 2, 5, 3, 3, 2, 5, 2, 5, 7, 2, 5, 5, 4, 3, 6, 2, 5, 7, 5, 7, 3, 7, 5, 5, 5, 5, 3, 6, 2, 6, 3, 5, 3, 2, 3, 4, 7, 3, 5, 5, 5, 5, 4, 4, 1, 7, 5, 2, 5, 5, 5, 4, 2, 7, 4, 6, 3, 4, 5, 5, 5, 4, 4, 2, 6, 2, 2, 3, 3, 5, 4, 2, 6, 5, 4, 5, 2, 3, 5, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 6, 3, 2, 3, 6, 1, 3, 4, 4, 6, 2, 3, 3, 5, 5, 1, 7, 8, 4, 7, 4, 4, 3, 4, 4, 5, 5, 4, 3, 5, 2, 3, 4, 2, 5, 4, 1, 2, 4, 3, 3, 6, 6, 4, 4, 6, 5, 4, 5, 4, 4, 5, 7, 3, 3, 7, 0, 4, 7, 4, 2, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 3, 5, 6, 8, 6, 7, 5, 2, 5, 2, 2, 3, 4, 5, 7, 5, 3, 2, 8, 4, 6, 6, 3, 6, 5, 8, 3, 2, 4, 1, 5, 4, 3, 7, 4, 5, 5, 3, 3, 4, 4, 3, 5, 3, 1, 4, 3, 4, 4, 5, 4, 3, 2, 6, 5, 5, 4, 2, 4, 5, 4, 7, 3, 5, 4, 7, 5, 2, 5, 5, 2, 2, 5, 1, 6, 6, 6, 3, 7, 3, 6, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 7, 5, 7, 4, 3, 5, 3, 6, 6, 6, 5, 5, 4, 4, 6, 5, 5, 2, 5, 4, 4, 6, 7, 4, 7, 3, 3, 5, 3, 5, 5, 7, 6, 8, 6, 7, 4, 6, 3, 6, 5, 4, 6, 4, 4, 5, 3, 3, 5, 7, 2, 4, 4, 5, 6, 6, 5, 5, 4, 3, 6, 5, 2, 3, 4, 6, 5, 4, 2, 7, 4, 4, 6, 3, 3, 5, 6, 5, 3, 6, 4, 6, 3, 6, 6, 5, 3, 4, 2, 5, 3, 5, 6, 6, 4, 5, 3, 6, 4, 5, 5, 4, 6, 4, 6, 5, 4, 4, 4, 5, 3, 5, -1 3, 5, 5, 5, 2, 5, 3, 4, 5, 2, 4, 5, 1, 7, 1, 4, 3, 5, 6, 6, 6, 5, 5, 4, 8, 6, 4, 6, 5, 2, 5, 5, 3, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 2, 4, 1, 5, 8, 4, 4, 6, 5, 2, 5, 6, 4, 6, 5, 4, 5, 4, 6, 1, 4, 3, 1, 7, 4, 4, 4, 6, 3, 3, 6, 4, 3, 6, 3, 2, 2, 2, 2, 5, 5, 4, 5, 4, 5, 6, 4, 4, 3, 1, 4, 5, 5, 4, 3, 3, 5, 5, 4, 6, 3, 7, 5, 6, 3, 6, 4, 4, 5, 6, 4, 3, 8, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 7, 5, 4, 4, 6, 5, 4, 7, 5, 4, 8, 4, 3, 5, 4, 1, 3, 4, 4, 5, 4, 2, 6, 4, 5, 6, 4, 4, 5, 6, 7, 3, 5, 3, 4, 6, 3, 5, 6, 6, 6, 4, 6, 5, 7, 2, 4, 4, 5, 2, 5, 4, 4, 4, 4, 6, 5, 2, 6, 6, 4, 6, 4, 4, 4, 4, 4, 4, 2, 6, 6, 4, 5, 6, 6, 6, 4, 3, 5, 2, 4, 5, 6, 5, 7, 4, 5, 7, 2, 3, 5, 6, 3, 5, 7, 5, 3, 4, 5, 5, 4, 5, 4, 1, 7, 4, 5, 5, 5, 5, 4, 2, 4, 5, 2, 5, 6, 3, 3, 4, 5, 4, 5, 6, 4, 3, 4, 4, 5, 6, 5, 6, 8, 6, 5, 2, 3, 3, 4, 3, 4, 0, 2, 5, 5, 3, 8, 3, 2, 3, 5, 3, 4, 6, 6, 6, 5, 6, 5, 2, 5, 6, 4, 6, 3, 3, 5, 2, 4, 4, 6, 5, 5, 4, 5, 7, 5, 4, 2, 7, 4, 4, 3, 6, 4, 4, 4, 4, 3, 2, 5, 6, 3, 4, 7, 4, 4, 6, 4, 4, 6, 5, 4, 6, 5, 8, 7, 4, 4, 8, 2, 5, 2, 3, 5, 3, 1, 2, 4, 6, 2, 4, 5, 3, 3, 4, 3, 4, 3, 7, 6, 8, 3, 4, 4, 3, 6, 1, 7, 3, 5, 5, 6, 5, 4, 4, 3, 3, 3, 5, 7, 3, 7, 2, 3, 5, 5, 3, 5, 4, 5, 3, 3, 4, 5, 4, 4, 8, 4, 3, 4, 4, 6, 5, 3, 3, 7, 4, 5, 5, 4, 4, 6, 2, 3, 5, 1, 3, 5, 3, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 6, 5, 3, 2, 8, 7, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 5, 2, 5, 3, 7, 3, 3, 5, 5, 2, 4, 5, 5, 3, 4, 7, 5, 2, 6, 4, 2, 4, 6, 4, 4, 4, 5, 6, 5, 6, 5, 4, 6, 4, 6, 5, 2, 5, 3, 4, 4, 1, 6, 1, 7, 4, 5, 5, 4, 6, 5, 1 6, 5, 2, 5, 3, 5, 7, 3, 6, 4, 6, 3, 8, 5, 1, 6, 4, 4, 5, 4, 5, 5, 5, 5, 7, 6, 4, 2, 3, 6, 5, 4, 5, 6, 4, 5, 1, 3, 2, 4, 5, 3, 5, 3, 5, 4, 4, 4, 4, 6, 6, 2, 4, 6, 2, 5, 5, 3, 7, 4, 5, 3, 3, 4, 5, 5, 5, 6, 4, 4, 3, 6, 5, 6, 5, 3, 5, 5, 6, 3, 3, 2, 2, 2, 6, 7, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 2, 3, 5, 2, 4, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 4, 4, 4, 3, 6, 5, 6, 7, 6, 4, 5, 8, 5, 3, 2, 4, 5, 7, 5, 4, 6, 5, 7, 4, 5, 7, 4, 4, 4, 5, 5, 4, 6, 5, 3, 6, 6, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 6, 4, 5, 3, 5, 5, 6, 3, 5, 4, 1, 5, 5, 5, 6, 5, 4, 4, 2, 5, 1, 2, 1, 3, 3, 3, 3, 4, 3, 6, 5, 4, 4, 4, 5, 5, 2, 6, 3, 5, 5, 5, 6, 4, 3, 4, 5, 3, 3, 2, 3, 3, 2, 3, 6, 4, 0, 3, 4, 4, 7, 4, 1, 2, 5, 3, 4, 7, 4, 8, 2, 1, 2, 3, 6, 2, 5, 6, 5, 4, 3, 7, 3, 2, 2, 6, 4, 4, 2, 4, 7, 4, 6, 5, 6, 4, 3, 4, 5, 2, 4, 4, 4, 5, 6, 4, 4, 6, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 4, 6, 5, 5, 4, 6, 4, 4, 3, 7, 3, 5, 5, 5, 5, 6, 7, 5, 5, 5, 6, 3, 5, 5, 3, 6, 5, 4, 5, 3, 5, 5, 4, 4, 2, 6, 4, 4, 2, 5, 3, 6, 4, 1, 6, 5, 4, 4, 3, 8, 5, 4, 3, 5, 2, 2, 4, 4, 3, 7, 5, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 2, 4, 4, 7, 5, 4, 3, 3, 4, 5, 2, 4, 6, 5, 3, 6, 5, 6, 5, 4, 5, 4, 2, 3, 4, 4, 5, 6, 5, 3, 5, 5, 5, 5, 3, 4, 7, 3, 4, 5, 3, 2, 7, 5, 2, 5, 5, 3, 2, 2, 7, 5, 3, 4, 5, 5, 3, 5, 4, 4, 7, 1, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 7, 5, 2, 4, 5, 6, 4, 5, 4, 3, 5, 7, 4, 3, 1, 5, 5, 4, 3, 3, 7, 4, 3, 2, 6, 3, 4, 5, 4, 4, 7, 7, 3, 2, 4, 4, 5, 4, 3, 6, 7, 5, 4, 6, 6, 4, 4, 4, 6, 4, 5, 6, 5, 6, 1, 4, 4, 2, 1 7, 4, 6, 5, 3, 4, 5, 5, 3, 6, 6, 4, 5, 3, 3, 7, 3, 6, 5, 4, 8, 4, 4, 5, 5, 5, 4, 4, 5, 5, 6, 3, 2, 5, 6, 7, 5, 1, 2, 4, 4, 4, 6, 2, 7, 5, 6, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 6, 2, 6, 5, 4, 1, 3, 6, 5, 5, 3, 5, 4, 2, 5, 4, 6, 6, 6, 3, 3, 4, 5, 5, 5, 7, 4, 3, 5, 5, 4, 7, 5, 5, 6, 5, 2, 5, 6, 5, 5, 3, 3, 5, 3, 4, 5, 5, 4, 6, 3, 4, 7, 5, 7, 6, 5, 3, 7, 3, 4, 4, 2, 3, 7, 1, 3, 4, 4, 6, 4, 4, 6, 3, 5, 5, 5, 5, 8, 7, 5, 6, 3, 3, 3, 5, 6, 9, 4, 9, 5, 3, 4, 3, 6, 4, 5, 4, 6, 3, 5, 5, 5, 6, 5, 6, 7, 5, 3, 2, 4, 6, 5, 6, 6, 7, 5, 4, 4, 4, 6, 3, 4, 4, 3, 3, 5, 4, 7, 8, 2, 5, 0, 7, 6, 2, 3, 5, 2, 3, 5, 6, 4, 6, 4, 4, 4, 5, 4, 2, 0, 4, 4, 4, 8, 3, 6, 4, 5, 4, 3, 4, 9, 7, 4, 4, 3, 5, 4, 5, 5, 6, 6, 3, 2, 6, 6, 4, 4, 4, 6, 6, 4, 6, 4, 5, 5, 7, 4, 3, 3, 7, 4, 5, 3, 5, 5, 5, 3, 4, 6, 4, 7, 6, 3, 4, 7, 5, 7, 4, 3, 4, 5, 2, 3, 4, 4, 4, 5, 6, 3, 3, 4, 3, 3, 4, 6, 4, 3, 3, 4, 3, 6, 2, 3, 3, 4, 7, 3, 6, 2, 6, 3, 7, 5, 6, 5, 3, 5, 7, 4, 7, 1, 5, 6, 4, 3, 3, 6, 9, 7, 4, 5, 5, 4, 4, 4, 5, 6, 4, 6, 7, 2, 2, 6, 4, 4, 5, 5, 2, 4, 4, 3, 3, 5, 4, 3, 4, 5, 3, 6, 6, 3, 5, 3, 4, 5, 5, 4, 6, 4, 6, 4, 3, 4, 4, 4, 4, 2, 5, 4, 4, 5, 6, 6, 4, 2, 5, 3, 3, 7, 3, 3, 6, 2, 7, 3, 3, 5, 5, 4, 6, 3, 5, 3, 5, 4, 4, 5, 6, 5, 5, 8, 3, 3, 5, 4, 4, 5, 5, 4, 2, 4, 4, 7, 4, 3, 5, 6, 5, 5, 3, 4, 2, 4, 7, 4, 5, 4, 4, 4, 6, 4, 4, 4, 3, 3, 4, 3, 5, 3, 6, 3, 4, 3, 6, 3, 3, 5, 7, 5, 5, 4, 3, 3, 6, 6, 6, 4, 4, 3, 2, 6, 5, 5, 3, 4, 5, 3, 5, 4, 4, 3, 3, 5, 6, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 2, 5, 4, 4, 6, 5, 5, 2, 2, 4, 4, 5, 5, 3, -1 2, 4, 1, 3, 4, 3, 5, 6, 4, 3, 6, 6, 3, 3, 4, 5, 5, 4, 4, 6, 7, 2, 7, 6, 6, 4, 4, 7, 4, 4, 5, 6, 4, 2, 6, 5, 4, 3, 0, 5, 4, 3, 5, 6, 4, 3, 6, 5, 8, 4, 9, 4, 5, 2, 5, 4, 5, 4, 4, 5, 6, 0, 7, 4, 8, 2, 1, 6, 5, 5, 5, 7, 3, 4, 4, 5, 2, 5, 5, 2, 7, 4, 1, 4, 5, 2, 3, 4, 4, 5, 4, 4, 8, 2, 3, 3, 1, 4, 6, 5, 4, 5, 1, 4, 4, 5, 4, 3, 3, 5, 3, 5, 6, 4, 4, 5, 5, 2, 5, 1, 4, 7, 4, 2, 8, 6, 5, 8, 5, 6, 4, 6, 4, 4, 6, 4, 4, 3, 3, 2, 5, 4, 4, 5, 5, 6, 4, 4, 4, 6, 4, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 3, 7, 4, 6, 2, 4, 4, 4, 6, 3, 5, 5, 4, 5, 3, 4, 3, 3, 4, 1, 3, 4, 5, 6, 6, 4, 5, 5, 5, 5, 1, 7, 2, 3, 4, 6, 5, 7, 7, 2, 4, 6, 5, 4, 8, 5, 4, 3, 4, 4, 6, 2, 3, 5, 3, 4, 5, 4, 4, 5, 5, 3, 4, 3, 5, 3, 5, 6, 4, 9, 4, 5, 3, 5, 3, 6, 3, 4, 5, 5, 2, 5, 3, 5, 4, 2, 6, 2, 4, 4, 1, 6, 5, 5, 4, 6, 5, 6, 6, 4, 6, 4, 6, 7, 4, 6, 5, 7, 3, 6, 4, 9, 3, 5, 4, 2, 4, 5, 5, 5, 3, 7, 3, 6, 7, 5, 4, 2, 4, 3, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 3, 7, 8, 5, 4, 5, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 1, 5, 2, 3, 5, 6, 4, 4, 7, 5, 2, 7, 4, 6, 4, 5, 6, 5, 5, 6, 4, 3, 7, 3, 5, 6, 3, 3, 4, 0, 6, 5, 5, 6, 4, 3, 5, 7, 4, 3, 6, 3, 4, 7, 4, 3, 4, 4, 5, 6, 4, 3, 5, 8, 3, 3, 6, 4, 4, 5, 3, 6, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 3, 6, 4, 5, 5, 7, 6, 5, 4, 5, 8, 5, 4, 4, 4, 1, 3, 2, 4, 5, 3, 5, 4, 4, 4, 3, 1, 5, 3, 3, 0, 7, 5, 5, 4, 5, 3, 7, 7, 5, 6, 5, 5, 5, 6, 2, 2, 5, 4, 5, 7, 5, 4, 4, 5, 4, 7, 4, 6, 7, 3, 4, 5, 2, 3, 4, 4, 5, 5, 4, 4, 5, 8, 5, 4, 4, 3, 4, 4, 4, 4, 4, 6, 4, 5, 4, 5, 6, 5, 4, 4, 4, 4, 5, 4, 1, 5, 6, 6, 3, 5, -1 4, 2, 4, 3, 4, 6, 5, 5, 4, 4, 5, 4, 6, 5, 6, 2, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 7, 4, 6, 3, 5, 3, 2, 6, 6, 4, 3, 3, 3, 4, 3, 5, 3, 2, 5, 5, 4, 6, 6, 3, 5, 3, 7, 2, 5, 5, 4, 6, 2, 4, 3, 5, 3, 5, 5, 3, 4, 5, 1, 4, 6, 7, 6, 5, 3, 6, 5, 4, 4, 3, 5, 4, 3, 6, 2, 2, 6, 7, 5, 4, 4, 7, 4, 4, 4, 3, 0, 3, 5, 5, 5, 4, 4, 6, 4, 6, 6, 6, 4, 3, 3, 4, 4, 4, 5, 7, 4, 2, 6, 5, 4, 7, 2, 4, 5, 5, 4, 4, 6, 3, 4, 4, 6, 3, 5, 7, 6, 4, 6, 2, 3, 5, 4, 2, 4, 6, 4, 4, 2, 7, 5, 5, 6, 5, 5, 5, 7, 6, 5, 6, 7, 5, 3, 4, 2, 4, 7, 4, 2, 4, 9, 4, 7, 6, 3, 1, 4, 4, 3, 1, 3, 3, 5, 6, 5, 3, 6, 4, 5, 6, 4, 5, 5, 6, 4, 5, 3, 4, 4, 0, 6, 6, 5, 8, 5, 6, 3, 6, 5, 3, 8, 4, 4, 5, 5, 3, 3, 4, 4, 1, 6, 6, 5, 5, 5, 4, 5, 4, 4, 2, 4, 3, 4, 4, 6, 4, 6, 4, 6, 3, 1, 7, 4, 3, 5, 4, 5, 4, 5, 5, 4, 6, 3, 3, 4, 5, 5, 3, 3, 4, 4, 4, 6, 7, 4, 4, 5, 3, 5, 5, 5, 6, 6, 2, 4, 3, 4, 4, 6, 4, 2, 5, 5, 7, 5, 4, 4, 4, 5, 4, 2, 5, 6, 4, 6, 5, 4, 4, 6, 6, 6, 5, 3, 6, 5, 4, 4, 1, 2, 5, 4, 4, 4, 4, 3, 3, 9, 6, 7, 6, 3, 5, 4, 5, 5, 6, 6, 5, 7, 5, 5, 5, 5, 6, 4, 3, 4, 4, 2, 8, 5, 5, 4, 5, 5, 3, 4, 7, 3, 4, 6, 3, 5, 5, 4, 5, 4, 4, 6, 6, 4, 5, 5, 5, 3, 5, 1, 2, 3, 3, 4, 6, 2, 8, 5, 5, 5, 4, 7, 4, 5, 5, 3, 5, 5, 5, 4, 2, 5, 6, 4, 6, 3, 7, 2, 5, 8, 5, 3, 4, 5, 7, 6, 5, 1, 3, 4, 5, 4, 5, 4, 3, 5, 3, 5, 3, 4, 3, 3, 4, 4, 4, 6, 7, 6, 4, 6, 4, 5, 3, 6, 4, 4, 6, 1, 3, 3, 4, 5, 5, 5, 5, 2, 5, 4, 5, 6, 6, 3, 5, 6, 6, 5, 4, 4, 6, 5, 1, 4, 5, 4, 5, 6, 4, 3, 4, 2, 6, 3, 2, 5, 5, 2, 4, 5, 7, 4, 6, 5, 1, 5, 5, 4, 4, 4, 6, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 7, 5, 4, 5, 1 3, 5, 4, 4, 2, 3, 3, 6, 6, 3, 4, 5, 8, 6, 6, 4, 5, 6, 3, 6, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 1, 5, 5, 5, 4, 5, 6, 2, 6, 5, 6, 4, 3, 5, 6, 4, 5, 5, 6, 5, 6, 5, 4, 4, 8, 5, 4, 4, 4, 4, 2, 3, 4, 3, 3, 7, 3, 5, 5, 5, 6, 5, 2, 3, 5, 4, 2, 4, 7, 2, 4, 1, 3, 3, 3, 6, 4, 2, 4, 1, 7, 4, 4, 6, 3, 4, 4, 3, 4, 5, 6, 5, 3, 5, 6, 6, 4, 7, 7, 4, 2, 5, 8, 6, 2, 5, 4, 5, 2, 6, 3, 6, 4, 5, 5, 7, 4, 6, 7, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 3, 6, 3, 6, 3, 5, 6, 6, 3, 6, 5, 5, 6, 8, 5, 4, 5, 5, 3, 6, 5, 3, 3, 4, 3, 5, 6, 7, 3, 3, 3, 8, 4, 1, 6, 4, 3, 5, 2, 2, 3, 3, 1, 5, 8, 3, 5, 2, 5, 4, 4, 3, 4, 4, 4, 4, 5, 6, 6, 6, 4, 5, 6, 4, 5, 2, 4, 3, 4, 6, 7, 6, 2, 5, 3, 3, 4, 4, 5, 3, 5, 4, 6, 6, 4, 2, 3, 3, 4, 6, 3, 6, 6, 3, 6, 4, 7, 6, 5, 3, 3, 3, 5, 4, 3, 4, 5, 3, 5, 5, 5, 4, 2, 5, 4, 5, 4, 6, 5, 3, 3, 3, 4, 2, 5, 3, 5, 3, 6, 2, 7, 3, 2, 4, 5, 5, 4, 6, 4, 5, 5, 5, 7, 5, 4, 4, 3, 6, 5, 4, 5, 5, 4, 3, 8, 7, 4, 6, 3, 5, 6, 4, 2, 4, 6, 7, 6, 5, 4, 5, 4, 4, 6, 6, 3, 5, 3, 8, 6, 3, 4, 1, 4, 4, 1, 6, 5, 4, 4, 7, 5, 7, 3, 4, 2, 5, 4, 5, 5, 5, 5, 5, 2, 4, 4, 4, 2, 3, 4, 6, 2, 5, 3, 4, 5, 6, 3, 6, 5, 2, 4, 3, 6, 1, 4, 3, 5, 5, 4, 7, 5, 4, 6, 4, 6, 3, 2, 4, 3, 5, 5, 4, 5, 2, 4, 6, 4, 3, 2, 3, 4, 4, 2, 2, 6, 6, 6, 3, 4, 2, 7, 4, 5, 5, 7, 6, 4, 4, 4, 5, 7, 4, 3, 5, 4, 6, 4, 6, 4, 2, 6, 7, 3, 3, 6, 5, 4, 3, 4, 6, 5, 7, 6, 4, 7, 4, 4, 5, 5, 4, 3, 4, 6, 4, 7, 5, 4, 3, 3, 7, 4, 2, 4, 6, 4, 2, 4, 5, 5, 4, 4, 4, 6, 6, 4, 2, 6, 4, 5, 5, 3, 6, 1, 6, 4, 4, 5, 5, 3, 3, 4, 4, 8, 4, 4, 6, 6, 2, 5, 6, 3, 4, 3, 5, 4, 3, 1 0, 6, 4, 2, 3, 5, 5, 6, 4, 2, 5, 4, 6, 4, 5, 3, 5, 4, 4, 6, 5, 4, 6, 8, 6, 3, 4, 5, 6, 5, 5, 4, 6, 3, 5, 6, 5, 3, 4, 6, 4, 5, 4, 7, 4, 4, 1, 2, 5, 5, 6, 3, 4, 2, 6, 5, 6, 5, 4, 5, 6, 3, 4, 2, 6, 3, 5, 5, 3, 7, 4, 5, 4, 4, 4, 7, 3, 3, 4, 3, 3, 4, 3, 5, 2, 8, 4, 3, 6, 2, 7, 5, 7, 7, 8, 6, 3, 4, 3, 5, 4, 6, 4, 2, 2, 4, 4, 6, 4, 3, 2, 3, 4, 7, 5, 5, 2, 4, 4, 3, 3, 6, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 6, 2, 4, 7, 5, 5, 4, 2, 5, 7, 3, 2, 4, 5, 5, 6, 6, 3, 3, 3, 6, 4, 9, 5, 4, 6, 5, 3, 3, 5, 6, 1, 4, 3, 3, 4, 5, 2, 6, 5, 6, 5, 3, 4, 3, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 6, 1, 7, 5, 4, 5, 5, 4, 3, 6, 7, 5, 6, 6, 2, 6, 7, 4, 5, 3, 3, 6, 6, 6, 4, 3, 7, 3, 5, 3, 4, 7, 3, 4, 4, 5, 5, 3, 6, 2, 5, 2, 7, 3, 6, 5, 5, 3, 4, 4, 3, 2, 6, 4, 5, 4, 6, 7, 4, 4, 5, 4, 7, 3, 6, 3, 4, 5, 5, 4, 6, 3, 3, 6, 7, 3, 5, 5, 4, 3, 6, 4, 6, 3, 4, 7, 4, 5, 6, 6, 4, 5, 4, 3, 3, 6, 3, 7, 4, 3, 5, 6, 5, 2, 3, 6, 6, 3, 5, 5, 5, 5, 6, 5, 4, 5, 4, 3, 6, 6, 6, 6, 2, 6, 6, 4, 4, 6, 4, 5, 5, 1, 5, 4, 2, 5, 4, 4, 5, 3, 6, 5, 4, 6, 4, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 3, 7, 6, 6, 5, 5, 1, 4, 6, 2, 4, 3, 2, 4, 3, 7, 4, 5, 4, 5, 6, 4, 4, 5, 2, 3, 4, 4, 5, 4, 3, 5, 8, 3, 4, 3, 5, 6, 4, 5, 5, 5, 3, 4, 5, 5, 4, 6, 8, 5, 6, 4, 3, 3, 4, 5, 2, 4, 4, 5, 3, 4, 4, 3, 7, 5, 8, 5, 4, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 3, 4, 6, 2, 5, 6, 5, 5, 4, 3, 5, 6, 4, 5, 3, 5, 3, 4, 5, 3, 8, 4, 6, 5, 5, 5, 5, 3, 4, 4, 1, 3, 3, 4, 5, 4, 6, 3, 4, 2, 6, 2, 1, 5, 5, 4, 2, 1, 4, 5, 3, 6, 5, 3, 6, 5, 7, 3, 3, 4, 5, 3, 1 4, 4, 6, 5, 6, 3, 6, 5, 2, 6, 5, 4, 4, 4, 6, 5, 3, 6, 3, 4, 5, 5, 5, 5, 7, 3, 2, 5, 6, 5, 6, 4, 5, 4, 4, 5, 3, 5, 4, 6, 3, 5, 3, 5, 6, 3, 4, 5, 6, 4, 5, 4, 3, 6, 6, 6, 4, 5, 2, 6, 5, 3, 3, 5, 2, 4, 4, 2, 4, 3, 4, 6, 3, 6, 2, 5, 3, 5, 5, 1, 3, 6, 2, 3, 4, 5, 7, 4, 5, 4, 7, 7, 4, 2, 4, 5, 4, 5, 1, 2, 4, 5, 2, 3, 2, 7, 5, 5, 5, 4, 5, 5, 7, 5, 2, 5, 5, 5, 6, 4, 3, 5, 8, 4, 5, 3, 4, 4, 8, 4, 2, 4, 3, 4, 5, 4, 8, 0, 4, 1, 3, 6, 3, 5, 3, 5, 5, 5, 3, 3, 4, 2, 6, 3, 3, 5, 5, 7, 6, 5, 4, 4, 5, 5, 4, 5, 6, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 2, 6, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 1, 6, 5, 6, 4, 5, 5, 3, 6, 2, 4, 3, 5, 3, 5, 4, 4, 4, 6, 4, 4, 7, 5, 3, 2, 4, 4, 2, 3, 4, 6, 5, 5, 8, 5, 2, 5, 4, 3, 4, 5, 3, 6, 1, 4, 3, 5, 5, 3, 4, 8, 3, 6, 3, 7, 4, 5, 4, 6, 3, 2, 2, 5, 7, 2, 3, 6, 5, 6, 7, 4, 5, 5, 5, 2, 4, 5, 6, 4, 5, 2, 6, 3, 6, 3, 6, 4, 4, 2, 4, 5, 6, 3, 3, 4, 5, 3, 7, 4, 3, 6, 3, 5, 5, 3, 6, 5, 6, 4, 5, 3, 5, 8, 4, 6, 5, 3, 5, 5, 5, 6, 5, 5, 3, 4, 3, 4, 5, 7, 6, 4, 7, 4, 3, 2, 3, 6, 3, 4, 5, 5, 7, 4, 4, 4, 4, 5, 2, 3, 3, 6, 4, 5, 4, 4, 4, 3, 4, 6, 4, 4, 5, 4, 6, 8, 2, 3, 6, 3, 6, 5, 5, 5, 5, 3, 5, 5, 6, 7, 5, 6, 2, 6, 3, 6, 5, 4, 4, 4, 7, 4, 5, 3, 3, 6, 5, 7, 4, 5, 7, 5, 6, 5, 7, 4, 5, 5, 1, 4, 5, 6, 5, 7, 4, 6, 3, 3, 6, 6, 4, 6, 4, 4, 4, 5, 4, 3, 4, 2, 7, 2, 2, 6, 5, 7, 2, 6, 7, 4, 5, 7, 7, 1, 3, 3, 4, 2, 5, 5, 5, 4, 3, 4, 5, 5, 2, 3, 5, 6, 6, 4, 8, 6, 5, 5, 5, 2, 2, 6, 5, 5, 4, 4, 3, 3, 6, 4, 5, 3, 6, 3, 6, 5, 4, 6, 3, 6, 6, 7, 2, 5, 4, 3, 3, 0, 4, 3, 8, 5, 4, 4, 5, 2, 4, 5, 2, 6, 6, 6, 5, 4, 1 3, 4, 3, 3, 2, 4, 3, 6, 5, 5, 6, 1, 6, 2, 7, 5, 6, 4, 5, 6, 4, 6, 6, 3, 3, 4, 2, 3, 8, 4, 5, 5, 4, 4, 5, 6, 5, 3, 7, 6, 5, 4, 4, 5, 3, 5, 3, 7, 2, 3, 5, 6, 5, 3, 6, 4, 4, 8, 9, 3, 8, 5, 5, 3, 5, 4, 4, 6, 7, 6, 3, 5, 4, 6, 3, 6, 2, 3, 5, 5, 8, 5, 3, 5, 6, 7, 4, 4, 3, 3, 4, 9, 4, 4, 6, 2, 4, 2, 6, 5, 6, 2, 5, 5, 4, 5, 5, 2, 6, 5, 1, 7, 4, 4, 3, 5, 4, 4, 1, 4, 4, 5, 8, 3, 6, 4, 4, 5, 5, 5, 3, 3, 4, 5, 6, 6, 3, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 6, 4, 6, 4, 3, 4, 6, 6, 3, 5, 5, 4, 5, 5, 4, 4, 6, 5, 4, 4, 2, 6, 2, 4, 3, 6, 2, 5, 3, 6, 5, 5, 8, 5, 4, 3, 3, 3, 6, 4, 4, 5, 3, 5, 3, 6, 6, 5, 4, 3, 5, 5, 4, 9, 5, 4, 5, 3, 5, 6, 4, 5, 5, 2, 4, 3, 4, 5, 4, 3, 6, 3, 4, 5, 5, 5, 5, 6, 4, 3, 5, 4, 4, 7, 5, 6, 4, 5, 4, 5, 6, 6, 3, 4, 5, 2, 3, 3, 5, 5, 7, 3, 5, 7, 4, 3, 4, 5, 4, 4, 5, 4, 6, 4, 6, 6, 4, 7, 5, 4, 5, 3, 3, 6, 7, 5, 3, 6, 7, 2, 5, 4, 4, 3, 7, 5, 4, 4, 5, 2, 2, 4, 4, 7, 4, 6, 5, 2, 3, 4, 4, 4, 7, 5, 3, 5, 3, 5, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 7, 5, 3, 8, 6, 7, 7, 2, 3, 3, 3, 4, 5, 6, 2, 5, 3, 4, 4, 4, 6, 4, 5, 2, 2, 5, 4, 9, 5, 2, 5, 2, 4, 4, 1, 6, 6, 4, 5, 2, 4, 3, 6, 4, 5, 6, 5, 6, 3, 6, 6, 6, 6, 4, 5, 6, 6, 4, 5, 2, 4, 3, 4, 2, 3, 4, 2, 5, 7, 6, 3, 4, 6, 3, 5, 5, 4, 4, 7, 6, 6, 6, 4, 3, 2, 5, 4, 4, 3, 3, 6, 6, 6, 4, 6, 4, 3, 0, 4, 2, 4, 4, 6, 5, 3, 3, 5, 4, 4, 6, 4, 1, 4, 3, 5, 5, 3, 4, 6, 5, 3, 5, 4, 2, 7, 4, 6, 1, 3, 3, 5, 4, 4, 4, 4, 5, 7, 5, 5, 3, 5, 6, 5, 4, 4, 3, 5, 2, 7, 5, 6, 6, 5, 4, 3, 5, 4, 1, 3, 6, 5, 5, 1, 2, 4, 5, 4, 5, 3, 5, 6, 6, 2, 2, 6, 3, 3, 7, 4, 6, 3, 4, 5, 6, 6, 1 6, 3, 4, 4, 3, 3, 6, 5, 2, 5, 7, 6, 4, 3, 4, 5, 6, 4, 6, 3, 6, 5, 4, 4, 6, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 2, 7, 3, 4, 5, 3, 3, 4, 4, 3, 6, 4, 5, 2, 4, 3, 3, 5, 5, 7, 7, 4, 4, 7, 6, 5, 3, 5, 4, 6, 6, 3, 4, 6, 6, 4, 5, 5, 5, 3, 5, 4, 3, 5, 5, 2, 2, 5, 3, 5, 5, 3, 6, 5, 2, 7, 3, 5, 5, 5, 3, 6, 7, 5, 4, 6, 8, 5, 5, 4, 3, 7, 3, 7, 5, 3, 6, 7, 4, 3, 5, 3, 5, 5, 4, 6, 6, 4, 8, 6, 2, 5, 7, 4, 5, 6, 2, 6, 6, 3, 4, 7, 6, 5, 8, 3, 4, 4, 3, 3, 8, 6, 4, 5, 6, 6, 7, 4, 6, 4, 3, 3, 3, 5, 6, 7, 3, 6, 4, 3, 3, 5, 5, 4, 4, 5, 9, 6, 4, 3, 7, 3, 4, 4, 1, 5, 3, 5, 6, 7, 5, 5, 7, 4, 4, 6, 2, 2, 3, 5, 3, 5, 3, 3, 4, 2, 5, 4, 4, 5, 5, 4, 5, 6, 5, 2, 6, 7, 6, 5, 5, 4, 3, 3, 6, 5, 3, 1, 6, 6, 4, 5, 3, 3, 6, 5, 2, 7, 3, 6, 4, 4, 8, 2, 2, 7, 3, 4, 4, 3, 3, 5, 3, 4, 4, 6, 5, 5, 2, 4, 5, 7, 3, 4, 3, 4, 5, 2, 6, 5, 1, 5, 3, 4, 4, 5, 2, 6, 2, 4, 4, 2, 3, 4, 4, 1, 6, 4, 4, 5, 3, 5, 4, 4, 6, 5, 5, 1, 3, 5, 2, 2, 4, 4, 3, 3, 4, 6, 6, 5, 6, 7, 4, 6, 6, 1, 5, 3, 5, 2, 2, 9, 5, 5, 5, 5, 5, 6, 4, 5, 4, 5, 4, 4, 6, 4, 7, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 2, 4, 5, 3, 7, 6, 3, 4, 4, 5, 6, 6, 3, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 5, 4, 4, 2, 4, 2, 5, 4, 3, 4, 8, 4, 5, 4, 3, 5, 7, 4, 6, 5, 5, 3, 5, 4, 3, 6, 3, 4, 7, 6, 4, 5, 5, 3, 5, 4, 4, 4, 2, 4, 5, 4, 2, 4, 6, 4, 6, 4, 3, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 3, 6, 7, 6, 6, 3, 5, 3, 4, 6, 5, 6, 3, 2, 3, 3, 5, 7, 3, 4, 3, 6, 4, 4, 4, 6, 5, 5, 3, 3, 2, 5, 6, 6, 5, 4, 2, 6, 5, 4, 5, 6, 6, 3, 2, 4, 6, 3, 7, 5, 5, 5, 2, 4, 6, 3, 5, 5, 5, 4, 4, 6, 5, 5, 3, 3, 5, 5, -1 6, 5, 4, 2, 4, 5, 5, 5, 4, 4, 5, 4, 6, 4, 3, 2, 3, 3, 6, 2, 7, 3, 4, 2, 2, 3, 3, 2, 4, 5, 2, 4, 2, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 5, 2, 6, 6, 5, 4, 2, 2, 5, 7, 6, 3, 4, 6, 2, 6, 5, 4, 3, 5, 6, 4, 3, 5, 6, 5, 5, 4, 4, 4, 3, 5, 6, 3, 5, 4, 4, 5, 7, 5, 4, 6, 4, 4, 5, 6, 4, 5, 4, 7, 4, 6, 5, 3, 5, 7, 1, 3, 5, 5, 3, 5, 6, 2, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 6, 5, 3, 3, 7, 5, 5, 5, 4, 4, 6, 3, 5, 6, 5, 3, 5, 6, 4, 1, 4, 5, 5, 5, 4, 5, 6, 6, 7, 4, 5, 5, 6, 2, 4, 6, 5, 4, 4, 6, 5, 7, 1, 3, 4, 4, 2, 5, 6, 6, 6, 4, 6, 4, 6, 2, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 6, 6, 2, 5, 3, 5, 5, 5, 5, 6, 4, 4, 4, 6, 2, 6, 3, 4, 4, 4, 6, 4, 4, 5, 4, 8, 6, 2, 4, 4, 5, 5, 5, 3, 6, 1, 3, 4, 4, 3, 3, 5, 4, 3, 4, 6, 3, 2, 4, 5, 5, 7, 6, 4, 4, 4, 4, 3, 0, 4, 4, 8, 4, 8, 4, 7, 5, 6, 3, 4, 3, 5, 2, 5, 5, 5, 2, 5, 6, 4, 4, 3, 7, 5, 4, 3, 3, 5, 4, 3, 6, 4, 3, 5, 3, 2, 4, 6, 4, 5, 2, 5, 6, 5, 6, 5, 3, 4, 5, 3, 6, 5, 4, 4, 5, 6, 4, 4, 3, 4, 4, 4, 6, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 7, 4, 4, 5, 7, 5, 1, 4, 6, 6, 3, 5, 4, 5, 4, 5, 3, 5, 5, 5, 6, 6, 4, 4, 5, 5, 3, 2, 5, 5, 5, 5, 6, 2, 7, 5, 6, 3, 7, 6, 6, 8, 7, 4, 1, 4, 5, 4, 5, 6, 7, 2, 2, 5, 4, 5, 4, 7, 7, 5, 6, 3, 4, 3, 3, 5, 6, 5, 3, 5, 3, 5, 5, 3, 6, 6, 6, 7, 3, 5, 5, 5, 4, 4, 2, 3, 6, 4, 4, 6, 2, 6, 6, 4, 6, 6, 9, 4, 5, 5, 4, 5, 5, 4, 6, 4, 4, 6, 7, 3, 4, 6, 4, 4, 3, 4, 6, 7, 2, 4, 3, 6, 4, 3, 6, 4, 4, 7, 5, 3, 3, 4, 5, 5, 2, 7, 3, 3, 4, 3, 5, 6, 3, 4, 4, 7, 6, 2, 4, 4, 7, 4, 5, 2, 6, 2, 6, 4, 5, 6, 2, 3, 5, 4, 6, 4, 5, 6, 7, 5, 3, 1, 3, 6, -1 3, 5, 4, 8, 4, 3, 9, 6, 5, 4, 8, 2, 2, 2, 6, 1, 3, 5, 6, 1, 7, 5, 5, 5, 4, 5, 3, 5, 7, 4, 6, 3, 4, 5, 4, 3, 5, 3, 5, 3, 6, 3, 4, 4, 4, 5, 6, 5, 3, 2, 8, 3, 2, 3, 4, 5, 5, 1, 3, 7, 5, 6, 2, 4, 6, 2, 5, 5, 3, 5, 4, 5, 4, 4, 6, 2, 4, 4, 5, 6, 5, 3, 2, 5, 4, 5, 6, 9, 5, 7, 2, 5, 5, 2, 5, 5, 4, 4, 5, 5, 4, 7, 3, 6, 4, 3, 5, 5, 7, 4, 5, 3, 5, 5, 6, 5, 6, 4, 4, 5, 1, 4, 5, 5, 5, 4, 2, 5, 3, 3, 4, 5, 5, 5, 6, 7, 5, 6, 3, 7, 3, 5, 3, 4, 3, 4, 7, 5, 7, 4, 6, 4, 6, 3, 5, 7, 5, 4, 4, 3, 5, 2, 3, 5, 3, 4, 6, 6, 7, 3, 5, 5, 8, 6, 4, 4, 8, 4, 3, 2, 6, 3, 2, 2, 2, 4, 6, 3, 5, 4, 5, 5, 4, 7, 7, 5, 4, 5, 2, 1, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 2, 3, 6, 3, 5, 7, 5, 4, 4, 7, 6, 5, 0, 1, 5, 3, 5, 6, 5, 4, 6, 4, 3, 4, 3, 6, 3, 6, 4, 5, 3, 4, 6, 3, 4, 7, 4, 4, 4, 5, 5, 4, 3, 3, 2, 5, 5, 5, 5, 4, 5, 6, 6, 3, 3, 7, 6, 4, 4, 5, 5, 4, 3, 5, 4, 7, 3, 6, 5, 3, 2, 4, 5, 5, 3, 5, 5, 3, 1, 5, 5, 3, 5, 6, 6, 5, 2, 5, 6, 7, 4, 5, 3, 5, 3, 3, 5, 1, 6, 4, 4, 4, 4, 5, 4, 3, 3, 7, 3, 4, 5, 3, 6, 8, 5, 4, 6, 4, 3, 3, 5, 5, 3, 3, 6, 6, 6, 7, 3, 4, 3, 4, 4, 3, 4, 3, 7, 4, 6, 4, 6, 6, 3, 5, 7, 5, 6, 5, 5, 6, 5, 3, 4, 6, 5, 5, 5, 5, 6, 3, 3, 5, 6, 7, 4, 4, 3, 2, 5, 4, 6, 3, 4, 6, 6, 3, 4, 5, 6, 5, 7, 3, 6, 4, 7, 5, 4, 4, 1, 6, 4, 4, 7, 7, 5, 4, 5, 7, 5, 6, 2, 7, 4, 5, 1, 4, 5, 4, 1, 4, 5, 4, 7, 5, 3, 4, 1, 4, 6, 5, 4, 5, 3, 5, 4, 3, 6, 3, 5, 5, 6, 4, 4, 5, 5, 4, 2, 7, 5, 5, 7, 5, 3, 3, 6, 7, 5, 7, 5, 2, 4, 3, 3, 6, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 2, 0, 6, 4, 5, 4, 3, 7, 3, 5, 3, 6, 4, 2, 3, 5, 2, 5, 2, 4, 4, 4, 1, 1, 4, -1 3, 6, 3, 4, 4, 4, 5, 3, 5, 8, 4, 4, 4, 3, 7, 4, 3, 3, 3, 3, 5, 7, 4, 5, 6, 6, 4, 5, 4, 3, 6, 3, 5, 3, 6, 6, 5, 4, 3, 3, 4, 2, 5, 6, 5, 4, 5, 3, 3, 5, 5, 4, 4, 3, 6, 6, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 8, 5, 1, 1, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 6, 4, 3, 6, 2, 4, 4, 5, 4, 3, 4, 4, 4, 6, 4, 4, 6, 9, 4, 3, 4, 5, 5, 5, 4, 2, 6, 4, 5, 3, 5, 4, 3, 5, 3, 4, 6, 6, 5, 4, 5, 4, 4, 5, 4, 5, 3, 6, 4, 4, 6, 5, 4, 3, 5, 4, 6, 5, 4, 7, 6, 3, 4, 5, 4, 7, 4, 4, 4, 3, 6, 5, 6, 4, 4, 4, 4, 3, 8, 3, 4, 6, 3, 1, 4, 5, 7, 5, 3, 4, 7, 7, 4, 3, 5, 6, 3, 4, 3, 2, 4, 4, 4, 7, 4, 5, 5, 3, 3, 4, 5, 6, 2, 5, 5, 5, 7, 3, 4, 6, 6, 4, 3, 5, 5, 3, 3, 6, 5, 3, 6, 4, 5, 4, 3, 7, 4, 4, 3, 4, 4, 6, 5, 6, 6, 4, 2, 4, 5, 3, 5, 5, 3, 5, 4, 5, 5, 4, 6, 6, 8, 8, 4, 6, 7, 5, 5, 4, 7, 3, 2, 4, 5, 7, 5, 4, 5, 6, 3, 2, 4, 7, 3, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 5, 7, 3, 3, 4, 3, 5, 2, 5, 5, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 4, 6, 7, 4, 2, 4, 4, 3, 6, 3, 6, 5, 7, 2, 4, 6, 4, 4, 4, 2, 4, 4, 6, 3, 3, 7, 3, 5, 7, 8, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 5, 2, 6, 4, 5, 2, 5, 6, 5, 5, 5, 4, 6, 4, 5, 3, 3, 6, 5, 5, 3, 5, 8, 7, 3, 6, 3, 5, 4, 6, 7, 3, 6, 2, 3, 2, 3, 6, 5, 3, 4, 2, 5, 4, 4, 4, 5, 4, 4, 3, 6, 4, 5, 5, 2, 3, 3, 6, 5, 7, 5, 3, 3, 6, 6, 3, 6, 4, 3, 4, 4, 5, 5, 4, 6, 3, 5, 5, 5, 2, 4, 7, 3, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 6, 3, 5, 6, 5, 6, 5, 6, 4, 4, 6, 4, 4, 3, 5, 4, 4, 0, 8, 7, 3, 4, 2, 3, 6, 3, 4, 5, 3, 5, 5, 5, 6, 6, 5, 4, 5, 2, 4, 4, 7, 4, 3, 6, 5, 6, 7, 3, 6, 5, 2, 7, 3, 6, 4, 4, 5, 6, 5, 6, 2, -1 1, 3, 4, 8, 6, 5, 2, 6, 4, 5, 5, 4, 7, 5, 6, 3, 4, 4, 6, 4, 7, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 4, 7, 5, 5, 4, 4, 5, 4, 4, 3, 4, 6, 5, 5, 4, 2, 5, 3, 8, 5, 2, 5, 5, 3, 4, 7, 3, 5, 6, 3, 4, 5, 2, 6, 3, 4, 3, 6, 5, 2, 4, 5, 6, 5, 3, 5, 2, 6, 6, 5, 4, 5, 5, 3, 4, 6, 5, 6, 4, 3, 5, 5, 5, 4, 4, 4, 7, 3, 5, 5, 4, 5, 5, 4, 2, 4, 3, 2, 3, 5, 5, 7, 7, 5, 6, 5, 7, 6, 6, 3, 2, 8, 5, 1, 2, 4, 4, 7, 6, 3, 2, 6, 2, 5, 3, 5, 5, 3, 4, 6, 1, 6, 5, 4, 8, 5, 8, 4, 7, 4, 3, 3, 4, 6, 6, 2, 5, 5, 3, 5, 3, 4, 3, 5, 6, 6, 5, 4, 5, 6, 7, 2, 4, 4, 2, 6, 5, 5, 4, 4, 6, 7, 6, 7, 7, 1, 5, 3, 4, 4, 5, 5, 5, 4, 4, 6, 5, 4, 5, 3, 4, 2, 5, 4, 5, 5, 3, 4, 2, 7, 3, 5, 4, 6, 5, 5, 3, 4, 4, 3, 4, 3, 3, 5, 3, 5, 0, 4, 0, 6, 5, 3, 4, 3, 4, 0, 5, 2, 5, 5, 5, 3, 5, 5, 9, 4, 5, 3, 3, 3, 5, 5, 6, 5, 4, 7, 5, 2, 3, 2, 5, 3, 4, 3, 3, 4, 3, 2, 3, 5, 4, 6, 6, 4, 6, 4, 4, 2, 7, 5, 5, 5, 4, 3, 1, 3, 1, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 6, 4, 4, 5, 5, 4, 5, 5, 4, 4, 6, 6, 2, 7, 5, 5, 2, 4, 8, 3, 6, 4, 3, 6, 4, 3, 3, 6, 5, 4, 3, 6, 3, 6, 6, 6, 4, 4, 6, 6, 2, 4, 5, 6, 7, 5, 5, 6, 5, 5, 4, 2, 5, 5, 5, 4, 4, 3, 5, 6, 5, 7, 4, 5, 5, 5, 4, 3, 6, 5, 6, 8, 7, 5, 4, 4, 4, 4, 5, 5, 7, 4, 4, 3, 4, 7, 4, 7, 6, 6, 4, 6, 6, 4, 6, 5, 4, 5, 5, 5, 5, 5, 3, 7, 5, 5, 6, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 6, 4, 4, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 6, 5, 4, 7, 3, 3, 4, 6, 7, 3, 4, 1, 5, 3, 4, 4, 6, 5, 5, 7, 5, 3, 6, 2, 5, 5, 5, 4, 1, 6, 3, 4, 4, 2, 2, 4, 5, 4, 7, 4, 3, 1, 3, 5, 3, 4, 5, 2, 7, 3, 6, 3, 4, 4, 4, 4, 7, 5, 5, 7, 7, 3, 3, 6, 3, 5, 1 3, 3, 4, 8, 4, 2, 4, 3, 4, 5, 3, 5, 3, 3, 4, 4, 3, 8, 2, 5, 6, 4, 5, 4, 7, 3, 8, 6, 4, 5, 3, 5, 4, 6, 5, 6, 5, 6, 5, 5, 6, 2, 4, 5, 3, 3, 2, 4, 7, 4, 3, 7, 4, 4, 7, 8, 5, 4, 6, 5, 6, 7, 3, 3, 9, 5, 5, 3, 7, 6, 6, 2, 5, 5, 2, 2, 2, 4, 4, 6, 3, 4, 3, 3, 1, 1, 4, 3, 4, 2, 7, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 8, 4, 4, 4, 3, 5, 6, 7, 4, 6, 4, 6, 7, 5, 3, 6, 6, 3, 3, 6, 5, 5, 4, 5, 4, 3, 5, 3, 5, 6, 3, 6, 5, 3, 4, 7, 5, 5, 5, 4, 3, 3, 4, 6, 6, 5, 2, 3, 7, 5, 6, 6, 5, 5, 7, 4, 3, 4, 5, 6, 5, 5, 5, 3, 5, 4, 5, 6, 3, 5, 7, 6, 3, 5, 2, 4, 5, 5, 3, 6, 3, 4, 7, 5, 4, 5, 4, 4, 5, 7, 4, 5, 5, 6, 6, 4, 3, 6, 3, 6, 3, 7, 4, 6, 4, 4, 5, 3, 4, 6, 5, 3, 3, 6, 5, 3, 5, 5, 4, 5, 5, 4, 6, 4, 6, 4, 3, 4, 4, 5, 2, 3, 6, 2, 2, 4, 3, 8, 3, 5, 2, 4, 3, 7, 6, 5, 6, 4, 2, 6, 6, 4, 2, 7, 2, 1, 4, 4, 4, 5, 2, 4, 4, 3, 5, 4, 4, 5, 4, 6, 4, 6, 2, 5, 5, 4, 6, 4, 5, 4, 5, 4, 5, 5, 6, 7, 5, 3, 4, 5, 7, 1, 6, 4, 5, 5, 4, 5, 2, 5, 5, 5, 6, 5, 5, 2, 4, 4, 6, 3, 5, 0, 4, 4, 6, 8, 2, 4, 5, 5, 7, 6, 3, 1, 3, 4, 5, 3, 7, 3, 4, 4, 2, 7, 6, 8, 5, 6, 3, 5, 4, 6, 5, 3, 5, 4, 3, 4, 4, 3, 5, 3, 5, 4, 3, 4, 5, 7, 3, 3, 6, 4, 5, 5, 5, 7, 4, 4, 7, 2, 4, 3, 6, 1, 5, 6, 5, 6, 3, 5, 4, 2, 6, 5, 9, 4, 4, 3, 2, 4, 3, 4, 2, 3, 6, 4, 5, 5, 6, 4, 5, 5, 8, 7, 3, 6, 4, 4, 4, 0, 6, 2, 5, 5, 3, 3, 8, 8, 2, 3, 3, 3, 4, 4, 4, 6, 4, 6, 4, 6, 5, 3, 5, 3, 3, 6, 4, 3, 4, 8, 3, 5, 5, 0, 6, 2, 3, 6, 5, 8, 3, 4, 5, 2, 8, 3, 3, 5, 5, 4, 4, 4, 3, 7, 4, 5, 6, 4, 2, 2, 5, 5, 4, 6, 2, 5, 3, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 3, 3, 3, 4, 5, 4, 4, 5, 6, 6, 3, 3, 1 5, 5, 4, 4, 5, 5, 5, 5, 5, 6, 3, 7, 8, 7, 5, 5, 6, 4, 4, 3, 5, 4, 3, 4, 6, 5, 4, 4, 4, 7, 5, 3, 5, 5, 4, 2, 4, 5, 4, 5, 3, 3, 4, 5, 7, 7, 5, 6, 3, 5, 4, 3, 2, 3, 5, 5, 6, 7, 4, 3, 4, 3, 4, 2, 6, 5, 5, 6, 8, 4, 5, 7, 6, 6, 4, 6, 2, 3, 5, 3, 3, 4, 2, 6, 5, 4, 3, 4, 4, 4, 4, 6, 3, 2, 4, 5, 2, 1, 5, 3, 4, 2, 4, 5, 3, 3, 5, 6, 4, 5, 4, 5, 6, 6, 7, 6, 5, 3, 5, 6, 6, 6, 7, 5, 5, 5, 6, 3, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 6, 6, 4, 4, 3, 3, 8, 6, 6, 6, 3, 6, 7, 3, 4, 5, 5, 4, 3, 5, 3, 3, 5, 5, 9, 4, 5, 4, 5, 6, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 3, 4, 6, 5, 2, 5, 4, 4, 5, 5, 5, 3, 4, 5, 6, 2, 2, 4, 4, 4, 6, 4, 3, 6, 4, 6, 1, 3, 7, 4, 5, 3, 4, 5, 4, 6, 4, 3, 4, 3, 6, 5, 3, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 2, 4, 4, 5, 3, 6, 6, 4, 2, 3, 6, 4, 7, 5, 5, 5, 5, 4, 5, 3, 4, 3, 6, 6, 4, 5, 4, 4, 6, 5, 6, 3, 2, 5, 4, 1, 5, 4, 3, 5, 5, 6, 5, 6, 5, 4, 4, 6, 4, 4, 9, 6, 3, 3, 5, 3, 3, 3, 4, 4, 3, 2, 5, 4, 5, 6, 3, 8, 2, 4, 4, 4, 3, 4, 7, 3, 5, 4, 6, 4, 2, 4, 3, 3, 6, 4, 7, 4, 3, 4, 5, 5, 3, 6, 6, 6, 4, 3, 3, 5, 5, 8, 4, 2, 4, 6, 3, 4, 3, 1, 4, 3, 4, 4, 6, 6, 3, 5, 6, 5, 5, 4, 5, 4, 7, 4, 6, 6, 4, 6, 4, 5, 7, 7, 5, 6, 3, 3, 5, 0, 3, 5, 3, 6, 3, 2, 3, 6, 4, 5, 5, 4, 3, 5, 3, 3, 4, 5, 7, 5, 4, 5, 7, 5, 6, 4, 3, 6, 3, 4, 4, 2, 5, 3, 5, 4, 5, 4, 7, 6, 3, 4, 5, 4, 3, 7, 4, 4, 6, 5, 6, 6, 3, 5, 2, 6, 6, 6, 6, 5, 4, 5, 3, 5, 5, 4, 6, 4, 6, 4, 2, 5, 3, 6, 3, 1, 5, 3, 6, 5, 7, 7, 5, 5, 3, 3, 5, 4, 3, 8, 4, 4, 6, 3, 4, 5, 3, 5, 4, 4, 5, 3, 6, 4, 6, 6, 6, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, -1 5, 2, 5, 3, 6, 3, 4, 4, 3, 3, 7, 3, 4, 3, 4, 5, 4, 8, 4, 3, 8, 5, 3, 6, 4, 5, 5, 4, 3, 4, 7, 4, 4, 5, 6, 4, 3, 5, 1, 5, 4, 4, 4, 5, 3, 3, 4, 6, 4, 3, 5, 2, 4, 4, 5, 3, 2, 4, 4, 8, 6, 2, 3, 3, 6, 4, 5, 5, 3, 4, 8, 4, 4, 6, 3, 4, 4, 3, 5, 4, 3, 5, 2, 7, 4, 4, 5, 3, 6, 5, 4, 4, 6, 6, 5, 2, 0, 5, 4, 6, 3, 4, 4, 5, 4, 2, 5, 1, 4, 7, 4, 5, 4, 5, 4, 6, 4, 3, 7, 5, 5, 7, 5, 3, 5, 7, 5, 5, 3, 7, 5, 4, 5, 5, 7, 4, 5, 6, 5, 5, 2, 5, 3, 4, 3, 4, 3, 5, 7, 4, 4, 6, 4, 3, 6, 5, 3, 6, 4, 5, 6, 3, 8, 4, 4, 4, 8, 4, 4, 7, 5, 4, 6, 4, 4, 8, 7, 2, 4, 4, 6, 3, 5, 5, 5, 4, 5, 4, 5, 5, 7, 4, 1, 5, 5, 4, 3, 3, 7, 4, 3, 6, 5, 3, 3, 5, 4, 4, 3, 2, 3, 6, 4, 7, 6, 4, 3, 3, 5, 3, 3, 5, 5, 8, 3, 6, 6, 5, 4, 6, 5, 5, 4, 5, 4, 5, 7, 4, 7, 5, 6, 4, 3, 5, 4, 3, 4, 7, 4, 6, 6, 2, 2, 3, 3, 5, 5, 5, 4, 7, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 7, 5, 5, 3, 3, 3, 5, 6, 5, 3, 5, 4, 7, 3, 4, 5, 4, 4, 6, 3, 5, 8, 3, 7, 3, 5, 4, 5, 4, 3, 6, 5, 7, 5, 4, 3, 4, 3, 2, 5, 3, 6, 6, 7, 5, 2, 3, 6, 4, 3, 6, 5, 4, 5, 4, 5, 5, 3, 6, 6, 6, 5, 4, 1, 3, 4, 3, 2, 5, 6, 5, 3, 4, 3, 6, 4, 5, 5, 3, 3, 2, 6, 4, 5, 7, 5, 5, 5, 5, 6, 3, 3, 5, 6, 4, 8, 5, 6, 7, 5, 3, 5, 8, 4, 4, 5, 4, 8, 3, 3, 5, 5, 2, 6, 1, 4, 3, 3, 3, 4, 4, 5, 5, 3, 5, 6, 3, 7, 3, 7, 5, 7, 3, 5, 4, 4, 6, 4, 3, 3, 4, 4, 7, 3, 4, 7, 4, 6, 4, 4, 4, 3, 4, 3, 4, 4, 7, 6, 3, 5, 3, 3, 5, 3, 6, 5, 5, 4, 5, 6, 4, 5, 4, 3, 5, 4, 7, 6, 2, 3, 6, 3, 4, 4, 3, 2, 2, 3, 4, 4, 3, 4, 5, 5, 6, 3, 5, 3, 5, 6, 5, 6, 2, 1, 4, 7, 5, 3, 5, 4, 4, 5, 6, 5, 4, 3, 4, 5, 1, 6, 5, 5, 1 0, 3, 4, 2, 4, 4, 7, 7, 4, 6, 4, 5, 5, 6, 5, 6, 3, 5, 3, 5, 7, 6, 6, 2, 5, 4, 3, 1, 3, 4, 4, 6, 4, 6, 6, 5, 5, 7, 8, 5, 3, 2, 4, 4, 4, 6, 2, 2, 6, 5, 7, 4, 6, 4, 3, 6, 4, 6, 6, 4, 5, 2, 2, 3, 4, 4, 5, 5, 5, 3, 2, 5, 4, 6, 5, 3, 5, 5, 4, 8, 3, 7, 3, 5, 2, 7, 5, 5, 4, 7, 4, 7, 6, 6, 4, 4, 6, 4, 5, 5, 6, 5, 3, 4, 3, 6, 7, 4, 5, 4, 5, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 6, 5, 6, 3, 5, 9, 2, 5, 5, 2, 5, 6, 3, 4, 3, 6, 5, 4, 4, 4, 5, 5, 5, 3, 3, 5, 1, 3, 3, 3, 5, 4, 7, 6, 6, 5, 5, 2, 6, 2, 4, 4, 5, 2, 5, 3, 4, 4, 4, 5, 2, 3, 1, 4, 5, 3, 4, 6, 4, 4, 5, 4, 6, 5, 3, 4, 5, 6, 4, 6, 5, 3, 4, 5, 2, 5, 5, 7, 5, 5, 6, 4, 7, 4, 6, 6, 2, 7, 5, 3, 6, 5, 6, 4, 3, 3, 6, 5, 6, 3, 8, 7, 6, 3, 4, 5, 5, 6, 5, 2, 4, 4, 4, 6, 4, 5, 7, 7, 4, 5, 7, 5, 5, 5, 4, 6, 3, 5, 4, 2, 6, 5, 5, 4, 2, 5, 3, 5, 5, 5, 3, 5, 4, 4, 9, 1, 5, 2, 4, 4, 4, 2, 6, 5, 3, 3, 7, 6, 3, 2, 3, 4, 5, 1, 5, 2, 3, 6, 6, 4, 8, 5, 5, 6, 5, 5, 6, 6, 2, 4, 3, 6, 6, 6, 5, 4, 5, 4, 6, 4, 3, 4, 3, 5, 2, 4, 4, 6, 5, 4, 5, 5, 3, 3, 5, 3, 5, 4, 3, 5, 3, 5, 2, 5, 4, 5, 4, 5, 4, 7, 1, 3, 4, 3, 4, 4, 4, 6, 5, 4, 7, 5, 5, 7, 4, 5, 8, 2, 9, 3, 3, 5, 4, 3, 7, 6, 6, 4, 2, 4, 6, 3, 3, 4, 3, 6, 1, 6, 3, 3, 5, 3, 3, 4, 5, 5, 5, 5, 3, 4, 4, 1, 3, 3, 5, 6, 3, 6, 7, 5, 5, 7, 4, 4, 2, 5, 2, 3, 3, 4, 4, 5, 2, 5, 2, 2, 1, 8, 3, 6, 5, 5, 6, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 3, 6, 5, 3, 6, 5, 6, 7, 3, 7, 6, 6, 3, 3, 3, 4, 5, 2, 4, 4, 5, 4, 3, 5, 4, 5, 4, 6, 7, 5, 3, 6, 5, 5, 4, 3, 4, 8, 6, 4, 5, 6, 3, 7, 5, 4, 4, 3, 4, 5, 6, 1, 3, 6, 5, 6, 4, -1 4, 4, 4, 5, 7, 2, 7, 5, 4, 2, 6, 5, 4, 8, 4, 5, 5, 6, 3, 4, 5, 4, 6, 5, 4, 5, 4, 3, 6, 6, 4, 8, 3, 4, 5, 5, 3, 4, 2, 3, 3, 2, 4, 3, 4, 6, 3, 3, 6, 5, 5, 5, 5, 3, 3, 4, 6, 4, 2, 3, 6, 5, 4, 3, 3, 4, 1, 6, 4, 5, 4, 6, 4, 5, 6, 4, 3, 8, 3, 3, 5, 4, 3, 7, 3, 9, 2, 4, 4, 2, 4, 5, 6, 5, 5, 3, 6, 4, 4, 4, 5, 5, 5, 5, 3, 6, 5, 3, 3, 5, 3, 4, 5, 4, 4, 7, 8, 0, 4, 3, 3, 3, 4, 5, 6, 5, 4, 6, 7, 8, 5, 3, 6, 5, 6, 6, 3, 5, 3, 5, 3, 3, 5, 4, 4, 4, 6, 3, 3, 3, 6, 2, 5, 3, 6, 3, 4, 5, 5, 5, 7, 5, 5, 4, 3, 3, 5, 7, 6, 2, 5, 5, 6, 7, 4, 6, 7, 4, 6, 6, 3, 4, 3, 5, 2, 6, 6, 4, 5, 2, 7, 4, 2, 5, 4, 6, 3, 6, 5, 5, 4, 7, 4, 8, 4, 5, 5, 4, 5, 2, 2, 5, 5, 3, 5, 3, 5, 2, 7, 6, 4, 3, 5, 5, 7, 4, 4, 5, 8, 6, 3, 3, 6, 5, 1, 4, 4, 4, 4, 4, 7, 6, 6, 7, 5, 3, 8, 5, 6, 5, 8, 5, 5, 4, 3, 2, 6, 3, 5, 6, 2, 2, 3, 5, 4, 4, 4, 3, 4, 2, 5, 4, 5, 4, 0, 6, 4, 3, 5, 6, 2, 3, 4, 5, 5, 4, 6, 5, 6, 3, 4, 3, 2, 3, 5, 6, 5, 4, 3, 9, 5, 6, 6, 3, 7, 4, 5, 2, 4, 5, 6, 6, 3, 4, 5, 2, 5, 4, 6, 5, 4, 3, 3, 6, 4, 2, 4, 6, 5, 4, 3, 4, 2, 2, 5, 2, 2, 3, 4, 4, 5, 4, 6, 8, 1, 5, 3, 6, 7, 4, 6, 5, 4, 6, 5, 5, 3, 4, 4, 4, 4, 6, 6, 3, 5, 2, 5, 2, 4, 5, 3, 4, 3, 5, 3, 3, 3, 4, 6, 0, 4, 3, 5, 3, 4, 5, 2, 4, 4, 4, 5, 3, 3, 5, 6, 7, 4, 5, 5, 3, 1, 6, 7, 4, 5, 6, 4, 5, 5, 5, 2, 3, 5, 5, 4, 2, 3, 2, 5, 6, 6, 6, 4, 2, 4, 5, 5, 4, 5, 3, 5, 3, 4, 3, 7, 4, 5, 3, 3, 7, 6, 4, 4, 5, 6, 3, 7, 2, 2, 5, 7, 6, 4, 4, 5, 4, 3, 6, 5, 3, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 3, 2, 4, 4, 4, 5, 4, 4, 2, 6, 4, 4, 5, 6, 4, 3, 5, 3, 4, 7, 4, 6, 5, 4, 4, 6, 4, 4, 7, 7, 1 2, 2, 6, 3, 3, 5, 5, 4, 5, 6, 3, 4, 3, 5, 6, 5, 4, 4, 6, 3, 6, 6, 6, 5, 4, 3, 4, 2, 5, 3, 5, 3, 0, 4, 5, 5, 5, 5, 4, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 6, 3, 3, 4, 4, 5, 3, 4, 3, 5, 5, 4, 5, 3, 3, 4, 8, 4, 3, 5, 7, 3, 4, 7, 4, 4, 6, 6, 6, 3, 6, 5, 6, 5, 7, 4, 1, 5, 3, 5, 6, 7, 8, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 7, 3, 5, 6, 5, 6, 3, 6, 4, 4, 5, 8, 3, 4, 5, 5, 3, 6, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 2, 4, 3, 2, 5, 6, 4, 5, 4, 4, 4, 4, 6, 6, 6, 9, 5, 2, 6, 7, 4, 3, 7, 4, 3, 2, 5, 3, 5, 4, 8, 6, 5, 4, 4, 4, 1, 5, 4, 6, 7, 6, 6, 5, 4, 5, 5, 6, 4, 7, 5, 5, 4, 5, 4, 4, 2, 4, 4, 4, 6, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 2, 4, 3, 4, 6, 6, 3, 4, 6, 4, 3, 4, 3, 3, 4, 6, 5, 3, 4, 3, 4, 4, 5, 4, 5, 5, 6, 4, 3, 4, 4, 3, 3, 5, 6, 5, 6, 5, 6, 5, 2, 5, 4, 4, 7, 5, 4, 7, 4, 3, 5, 4, 4, 3, 4, 7, 3, 5, 2, 4, 2, 7, 2, 4, 6, 2, 5, 4, 4, 4, 6, 6, 4, 2, 3, 3, 4, 5, 5, 7, 3, 6, 5, 3, 4, 4, 8, 3, 4, 5, 5, 4, 4, 7, 4, 4, 4, 3, 5, 4, 7, 3, 4, 5, 6, 5, 6, 5, 4, 5, 4, 6, 4, 5, 4, 5, 5, 2, 3, 7, 6, 5, 5, 3, 4, 4, 5, 5, 3, 4, 4, 6, 5, 4, 2, 6, 4, 4, 6, 6, 3, 6, 2, 4, 6, 4, 5, 3, 3, 7, 2, 2, 4, 5, 4, 5, 5, 5, 4, 5, 5, 6, 3, 5, 4, 5, 4, 2, 5, 5, 3, 3, 2, 7, 4, 5, 5, 4, 6, 4, 5, 6, 4, 5, 4, 5, 3, 8, 8, 3, 5, 4, 8, 3, 4, 5, 1, 5, 3, 3, 3, 5, 4, 4, 2, 3, 4, 5, 4, 5, 4, 2, 5, 4, 4, 4, 5, 5, 5, 6, 4, 4, 3, 5, 5, 4, 6, 2, 3, 5, 6, 5, 5, 6, 5, 5, 5, 3, 3, 3, 7, 2, 6, 4, 7, 5, 5, 3, 3, 5, 4, 6, 4, 4, 7, 1, 5, 2, 4, 4, 6, 5, 7, 2, 3, 3, 4, 5, 4, 4, 4, 5, 5, 4, 3, 8, 6, 7, 2, 3, 2, 6, 6, 3, 5, 1 4, 5, 4, 4, 6, 4, 5, 4, 6, 2, 4, 5, 6, 4, 7, 7, 5, 4, 3, 4, 6, 6, 5, 2, 5, 6, 1, 4, 8, 5, 4, 6, 3, 6, 5, 5, 3, 3, 3, 5, 4, 5, 6, 6, 4, 5, 6, 6, 1, 4, 7, 5, 5, 3, 5, 4, 6, 3, 4, 3, 3, 4, 4, 5, 3, 5, 5, 5, 7, 5, 5, 6, 3, 4, 4, 3, 2, 3, 4, 5, 5, 5, 6, 2, 3, 5, 8, 4, 5, 4, 7, 4, 6, 5, 2, 1, 2, 5, 3, 4, 4, 6, 5, 2, 7, 6, 5, 5, 3, 3, 5, 2, 5, 7, 3, 5, 3, 4, 4, 1, 3, 2, 4, 4, 4, 6, 6, 6, 6, 6, 3, 4, 6, 4, 4, 2, 4, 6, 5, 5, 3, 7, 3, 5, 4, 3, 3, 4, 5, 2, 6, 3, 3, 6, 4, 3, 6, 4, 3, 5, 6, 4, 5, 7, 3, 7, 6, 8, 7, 4, 5, 5, 5, 6, 6, 2, 2, 5, 6, 4, 6, 5, 3, 4, 0, 4, 4, 4, 7, 5, 7, 6, 3, 5, 3, 4, 3, 3, 4, 3, 5, 5, 2, 5, 3, 4, 2, 7, 6, 5, 2, 4, 4, 4, 3, 6, 3, 3, 8, 4, 4, 4, 5, 5, 2, 3, 3, 2, 8, 4, 3, 5, 2, 6, 5, 5, 6, 3, 5, 7, 3, 5, 4, 2, 8, 4, 4, 4, 2, 4, 5, 7, 3, 5, 6, 5, 6, 4, 2, 5, 3, 4, 7, 5, 2, 6, 4, 5, 2, 5, 4, 3, 4, 2, 5, 5, 4, 3, 4, 5, 4, 6, 5, 3, 6, 5, 5, 5, 3, 5, 6, 6, 3, 6, 3, 5, 6, 4, 5, 3, 6, 6, 6, 2, 3, 4, 2, 4, 4, 7, 7, 5, 1, 2, 5, 4, 4, 3, 8, 5, 6, 5, 4, 4, 7, 4, 6, 3, 6, 2, 4, 4, 5, 8, 5, 5, 3, 4, 2, 6, 5, 6, 3, 4, 2, 4, 4, 4, 1, 4, 5, 4, 4, 6, 3, 2, 5, 3, 5, 4, 3, 3, 5, 4, 5, 3, 5, 3, 5, 4, 3, 5, 3, 5, 5, 6, 4, 5, 1, 2, 3, 5, 7, 5, 5, 5, 5, 4, 3, 3, 2, 5, 4, 4, 5, 6, 3, 3, 5, 3, 5, 6, 5, 4, 5, 5, 7, 5, 6, 6, 7, 5, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 3, 2, 6, 4, 4, 2, 5, 3, 6, 3, 3, 6, 4, 4, 0, 3, 5, 4, 5, 7, 3, 6, 5, 4, 3, 4, 4, 2, 2, 7, 3, 6, 5, 3, 6, 5, 5, 4, 4, 5, 3, 8, 4, 4, 5, 5, 6, 5, 7, 4, 3, 3, 5, 5, 4, 5, 5, 5, 5, 4, 8, 3, 6, 4, 5, 4, 3, 6, 5, 3, 3, 5, 4, 6, 5, 7, 4, 5, -1 4, 3, 5, 6, 4, 5, 5, 4, 4, 4, 2, 5, 3, 3, 5, 4, 4, 4, 6, 3, 6, 4, 4, 5, 6, 4, 4, 5, 6, 5, 4, 4, 3, 2, 5, 2, 4, 5, 3, 4, 4, 4, 3, 1, 6, 7, 4, 6, 2, 6, 3, 5, 3, 3, 5, 6, 7, 3, 7, 3, 5, 4, 5, 3, 6, 4, 2, 3, 4, 3, 3, 6, 4, 5, 4, 6, 5, 3, 5, 3, 6, 4, 3, 4, 4, 4, 3, 7, 4, 5, 4, 5, 2, 7, 7, 4, 4, 7, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 5, 6, 7, 4, 7, 4, 3, 2, 6, 4, 5, 3, 4, 5, 4, 3, 8, 3, 3, 7, 5, 6, 5, 4, 4, 5, 6, 4, 4, 5, 5, 4, 6, 5, 4, 5, 6, 4, 2, 6, 5, 5, 3, 5, 6, 2, 7, 7, 5, 4, 3, 4, 4, 5, 6, 3, 7, 3, 3, 5, 3, 5, 3, 6, 2, 4, 2, 5, 2, 7, 2, 5, 8, 5, 5, 3, 4, 3, 3, 5, 5, 6, 3, 5, 9, 6, 6, 6, 4, 3, 8, 4, 5, 3, 5, 6, 3, 4, 5, 3, 8, 5, 5, 6, 2, 4, 3, 4, 6, 4, 4, 4, 5, 4, 3, 3, 7, 8, 3, 5, 6, 5, 4, 4, 4, 4, 4, 5, 4, 5, 6, 3, 4, 6, 6, 3, 4, 2, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 6, 7, 3, 5, 6, 3, 5, 5, 4, 7, 7, 6, 6, 6, 3, 5, 5, 3, 7, 6, 7, 6, 2, 3, 7, 4, 2, 4, 2, 4, 6, 3, 5, 4, 1, 3, 5, 4, 5, 3, 2, 5, 4, 6, 5, 4, 3, 3, 1, 3, 5, 5, 6, 4, 4, 5, 4, 5, 4, 2, 6, 5, 3, 5, 3, 2, 5, 3, 3, 4, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 6, 3, 4, 6, 5, 0, 5, 4, 6, 7, 6, 3, 1, 1, 6, 6, 5, 4, 5, 7, 3, 4, 7, 1, 4, 2, 5, 2, 4, 5, 5, 5, 4, 5, 3, 6, 6, 4, 4, 4, 5, 1, 4, 3, 6, 2, 3, 3, 5, 5, 6, 5, 4, 6, 7, 4, 6, 5, 3, 5, 6, 6, 5, 3, 4, 4, 5, 4, 6, 5, 7, 7, 7, 2, 5, 4, 4, 6, 6, 6, 5, 2, 3, 5, 6, 5, 3, 3, 3, 4, 3, 5, 7, 4, 5, 4, 7, 4, 6, 3, 4, 4, 6, 4, 4, 3, 2, 4, 7, 6, 6, 5, 5, 7, 2, 6, 5, 5, 4, 4, 6, 6, 3, 6, 9, 4, 5, 5, 5, 5, 4, 3, 8, 6, 4, 2, 7, 5, 4, 4, 3, 6, 4, 5, 6, 1, 5, -1 5, 4, 5, 3, 4, 3, 6, 4, 3, 2, 6, 4, 5, 3, 6, 4, 7, 3, 4, 5, 6, 5, 4, 3, 5, 5, 2, 4, 6, 5, 5, 6, 3, 7, 7, 5, 6, 6, 4, 4, 6, 5, 5, 5, 5, 4, 1, 5, 7, 4, 8, 4, 5, 3, 3, 3, 5, 3, 3, 4, 5, 7, 5, 5, 6, 7, 2, 4, 4, 6, 5, 6, 5, 2, 6, 7, 4, 3, 4, 7, 9, 4, 6, 3, 3, 4, 4, 6, 6, 4, 4, 3, 6, 7, 6, 2, 4, 4, 4, 6, 4, 5, 4, 6, 7, 6, 5, 5, 1, 7, 4, 5, 5, 6, 7, 4, 4, 3, 4, 4, 6, 5, 5, 3, 6, 3, 3, 5, 6, 5, 3, 3, 7, 4, 4, 3, 2, 4, 7, 8, 2, 5, 2, 3, 6, 4, 3, 5, 6, 6, 4, 4, 4, 7, 4, 3, 4, 4, 3, 5, 4, 2, 6, 7, 5, 4, 9, 5, 3, 6, 3, 3, 3, 7, 6, 4, 3, 4, 6, 4, 5, 2, 6, 3, 6, 4, 5, 6, 5, 6, 7, 5, 5, 5, 6, 3, 4, 4, 4, 1, 3, 4, 5, 6, 4, 3, 6, 3, 3, 5, 4, 2, 6, 4, 5, 3, 3, 6, 5, 1, 5, 5, 4, 2, 5, 4, 7, 4, 6, 5, 3, 5, 3, 4, 5, 3, 3, 4, 7, 4, 5, 5, 4, 6, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 3, 4, 5, 5, 8, 5, 5, 5, 6, 5, 5, 3, 7, 3, 3, 6, 4, 6, 7, 4, 5, 3, 2, 4, 4, 3, 6, 7, 4, 4, 5, 5, 6, 3, 5, 3, 6, 5, 3, 5, 4, 5, 4, 3, 3, 5, 4, 2, 5, 6, 4, 5, 7, 4, 8, 6, 2, 4, 5, 3, 4, 4, 4, 4, 7, 4, 7, 7, 4, 3, 3, 2, 6, 6, 8, 5, 5, 4, 2, 6, 5, 7, 6, 6, 2, 7, 5, 6, 4, 4, 4, 6, 6, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 7, 4, 5, 5, 4, 0, 3, 3, 4, 2, 5, 6, 6, 7, 5, 4, 4, 5, 5, 6, 7, 4, 3, 3, 5, 3, 3, 5, 5, 4, 2, 4, 5, 4, 6, 5, 6, 6, 3, 7, 4, 5, 5, 5, 5, 6, 3, 4, 5, 7, 4, 6, 4, 2, 5, 5, 3, 6, 5, 4, 4, 5, 6, 3, 3, 4, 4, 3, 7, 4, 5, 4, 6, 7, 5, 7, 4, 4, 5, 4, 4, 7, 6, 3, 1, 5, 3, 4, 3, 4, 2, 5, 5, 6, 4, 6, 5, 5, 3, 4, 2, 6, 3, 3, 5, 6, 4, 4, 2, 3, 3, 4, 3, 3, 2, 5, 3, 5, 2, 4, 3, 3, 6, 4, 5, 5, 6, 8, 7, 7, 5, 4, 6, 5, 4, 5, 5, 5, 5, 4, 4, 5, -1 2, 7, 3, 5, 3, 2, 6, 6, 6, 7, 7, 4, 3, 5, 3, 5, 3, 5, 6, 4, 4, 9, 5, 7, 7, 4, 2, 4, 5, 7, 6, 4, 3, 5, 6, 3, 5, 6, 5, 3, 4, 1, 4, 3, 4, 4, 4, 5, 4, 5, 6, 7, 6, 2, 5, 4, 5, 7, 5, 7, 5, 5, 5, 2, 3, 3, 5, 6, 4, 4, 3, 5, 4, 4, 5, 6, 2, 4, 5, 4, 9, 3, 5, 2, 3, 3, 6, 2, 5, 4, 4, 4, 5, 5, 5, 5, 2, 6, 4, 6, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 7, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 2, 6, 3, 5, 6, 4, 2, 6, 5, 3, 4, 5, 8, 4, 4, 7, 5, 4, 4, 3, 2, 6, 2, 6, 5, 4, 6, 4, 4, 3, 3, 5, 6, 2, 6, 4, 4, 1, 6, 4, 3, 4, 4, 4, 4, 8, 4, 6, 5, 6, 7, 5, 4, 3, 4, 7, 3, 3, 4, 2, 4, 5, 9, 3, 3, 4, 3, 5, 3, 5, 4, 3, 7, 2, 4, 6, 4, 6, 5, 5, 4, 5, 5, 6, 7, 6, 4, 6, 5, 6, 6, 6, 2, 3, 6, 6, 5, 4, 5, 4, 5, 6, 7, 5, 8, 6, 3, 6, 3, 2, 6, 3, 3, 4, 5, 4, 3, 6, 4, 4, 4, 5, 5, 6, 5, 3, 5, 6, 5, 3, 4, 4, 5, 4, 5, 4, 4, 6, 5, 4, 5, 4, 7, 3, 4, 3, 6, 2, 5, 3, 5, 4, 4, 5, 5, 3, 4, 3, 5, 2, 4, 4, 3, 5, 5, 4, 5, 3, 7, 5, 4, 5, 2, 4, 7, 6, 4, 3, 4, 3, 6, 5, 4, 9, 5, 5, 2, 4, 6, 2, 4, 5, 6, 5, 5, 5, 4, 2, 5, 5, 5, 3, 6, 3, 6, 9, 4, 3, 5, 6, 8, 4, 2, 3, 4, 3, 3, 2, 5, 4, 4, 6, 6, 5, 3, 4, 5, 5, 4, 6, 5, 5, 5, 7, 3, 4, 2, 5, 8, 5, 4, 4, 4, 5, 4, 4, 3, 6, 7, 6, 3, 3, 4, 4, 3, 6, 6, 4, 4, 6, 1, 7, 5, 4, 5, 5, 3, 5, 3, 4, 4, 4, 4, 5, 7, 3, 6, 4, 6, 3, 5, 3, 4, 6, 5, 6, 4, 5, 4, 5, 6, 4, 5, 5, 4, 5, 5, 5, 3, 2, 3, 5, 2, 2, 5, 4, 5, 4, 3, 3, 2, 2, 6, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 3, 7, 6, 5, 5, 4, 1, 4, 4, 2, 1, 5, 4, 2, 4, 5, 5, 4, 2, 5, 4, 4, 1, 5, 4, 5, 4, 6, 5, 4, 4, 5, 6, 4, 3, 5, 4, 4, 4, 2, 2, 7, 4, 5, 6, 3, 4, 5, 3, 5, 4, 3, -1 4, 5, 3, 4, 2, 4, 6, 5, 4, 4, 4, 5, 3, 5, 7, 3, 1, 5, 3, 4, 6, 3, 4, 5, 5, 6, 1, 3, 6, 5, 5, 3, 4, 6, 6, 4, 3, 5, 4, 4, 3, 6, 5, 3, 4, 6, 6, 6, 6, 4, 5, 5, 7, 4, 5, 5, 4, 6, 3, 7, 4, 3, 6, 3, 7, 6, 3, 6, 5, 7, 3, 6, 3, 6, 5, 4, 2, 3, 7, 3, 6, 1, 5, 3, 3, 4, 4, 4, 6, 6, 4, 4, 5, 4, 4, 5, 3, 2, 5, 4, 5, 5, 5, 5, 1, 4, 6, 6, 4, 7, 4, 4, 5, 4, 6, 4, 8, 6, 5, 5, 4, 5, 5, 4, 3, 6, 5, 6, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 3, 4, 2, 5, 6, 2, 3, 7, 3, 3, 4, 6, 4, 6, 5, 2, 4, 4, 7, 4, 6, 7, 4, 4, 3, 4, 3, 5, 4, 6, 7, 3, 5, 7, 4, 5, 5, 5, 2, 2, 7, 3, 7, 5, 5, 5, 4, 3, 5, 4, 1, 7, 3, 2, 5, 6, 5, 4, 2, 8, 6, 7, 4, 5, 3, 5, 2, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 8, 3, 6, 3, 5, 5, 3, 6, 5, 0, 4, 3, 3, 4, 4, 6, 3, 6, 3, 5, 4, 7, 5, 4, 4, 4, 2, 4, 4, 2, 6, 3, 3, 7, 3, 5, 3, 6, 1, 5, 4, 5, 6, 3, 2, 6, 6, 2, 4, 5, 3, 6, 4, 1, 2, 4, 7, 6, 5, 2, 5, 7, 2, 4, 4, 4, 3, 1, 6, 5, 3, 6, 7, 4, 4, 7, 5, 6, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 2, 5, 4, 3, 4, 5, 7, 4, 6, 3, 6, 4, 4, 4, 6, 8, 6, 3, 5, 3, 3, 4, 2, 9, 4, 8, 6, 5, 4, 4, 6, 5, 5, 4, 6, 3, 5, 3, 6, 5, 5, 3, 7, 5, 4, 4, 2, 6, 4, 5, 8, 5, 3, 2, 4, 6, 6, 5, 6, 3, 6, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 9, 4, 5, 4, 4, 4, 6, 2, 4, 5, 5, 5, 4, 6, 6, 5, 5, 4, 2, 6, 5, 3, 3, 3, 5, 4, 4, 4, 6, 4, 4, 3, 3, 7, 4, 5, 6, 6, 1, 3, 6, 6, 5, 4, 3, 3, 4, 3, 4, 3, 4, 5, 5, 5, 3, 5, 7, 4, 5, 3, 5, 4, 6, 5, 5, 1, 2, 3, 4, 5, 2, 4, 6, 6, 4, 6, 5, 4, 3, 3, 4, 4, 4, 1, 5, 9, 5, 4, 5, 3, 3, 3, 4, 7, 5, 3, 3, 6, 4, 4, 4, 5, 3, 4, 7, 5, 4, -1 4, 5, 3, 5, 3, 4, 2, 6, 4, 1, 5, 2, 5, 5, 7, 4, 3, 3, 6, 5, 4, 4, 8, 5, 4, 2, 3, 2, 2, 4, 4, 5, 3, 5, 7, 5, 3, 2, 4, 2, 6, 7, 3, 5, 5, 4, 2, 5, 5, 4, 5, 3, 5, 4, 4, 5, 6, 4, 4, 4, 4, 3, 5, 4, 7, 4, 2, 5, 4, 4, 3, 8, 3, 2, 1, 5, 2, 3, 2, 4, 5, 4, 4, 4, 6, 5, 6, 6, 4, 7, 4, 5, 5, 5, 4, 6, 4, 3, 5, 2, 4, 6, 4, 3, 2, 3, 8, 4, 7, 4, 2, 3, 5, 4, 5, 5, 2, 6, 2, 4, 4, 4, 4, 4, 3, 5, 3, 7, 3, 4, 3, 2, 6, 5, 5, 4, 4, 6, 5, 3, 4, 2, 4, 2, 6, 2, 6, 5, 6, 4, 3, 4, 8, 5, 5, 5, 4, 5, 4, 6, 4, 6, 4, 4, 8, 5, 6, 5, 4, 3, 4, 6, 5, 4, 5, 7, 2, 5, 3, 3, 0, 5, 1, 3, 6, 5, 6, 5, 4, 5, 8, 4, 6, 4, 4, 2, 0, 0, 5, 5, 7, 6, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 3, 6, 5, 5, 4, 5, 3, 4, 5, 3, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 5, 3, 4, 6, 5, 4, 3, 4, 5, 3, 3, 6, 4, 6, 6, 5, 4, 1, 3, 6, 5, 5, 5, 4, 4, 5, 3, 3, 4, 4, 3, 5, 3, 6, 4, 5, 5, 4, 6, 8, 6, 5, 3, 4, 2, 5, 7, 4, 4, 5, 5, 6, 5, 3, 7, 6, 3, 3, 4, 6, 1, 3, 3, 3, 4, 3, 5, 5, 5, 5, 7, 4, 2, 5, 5, 4, 5, 5, 5, 4, 2, 3, 3, 5, 3, 6, 2, 3, 5, 8, 3, 6, 7, 6, 6, 3, 5, 3, 5, 4, 4, 3, 5, 5, 6, 3, 6, 6, 7, 5, 1, 3, 5, 4, 5, 5, 3, 5, 6, 6, 6, 6, 3, 5, 3, 8, 5, 4, 4, 2, 5, 6, 5, 1, 6, 4, 7, 4, 6, 4, 4, 3, 5, 3, 3, 5, 5, 4, 6, 5, 2, 6, 4, 6, 6, 4, 5, 2, 5, 7, 3, 4, 7, 4, 4, 6, 6, 5, 6, 5, 5, 4, 7, 2, 6, 3, 3, 4, 2, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 6, 3, 3, 6, 7, 5, 3, 6, 5, 5, 4, 4, 7, 4, 7, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 6, 4, 5, 5, 7, 5, 4, 3, 3, 3, 3, 6, 6, 4, 4, 4, 3, 2, 5, 6, 5, 6, 3, 6, 6, 3, 4, 3, 4, 5, 3, 5, 4, 5, 8, 2, 5, 6, 4, 4, 5, 2, 6, 4, 5, 5, 4, 1 5, 2, 6, 5, 3, 3, 5, 4, 7, 2, 4, 5, 3, 5, 6, 7, 7, 5, 6, 3, 6, 3, 3, 4, 6, 4, 2, 4, 7, 5, 5, 3, 2, 4, 5, 5, 3, 5, 3, 2, 5, 4, 5, 4, 4, 3, 5, 3, 3, 5, 8, 5, 5, 7, 5, 4, 5, 6, 6, 3, 7, 2, 2, 5, 5, 4, 7, 5, 6, 6, 3, 5, 4, 6, 3, 6, 3, 4, 4, 1, 3, 4, 3, 4, 6, 5, 6, 3, 5, 2, 7, 5, 4, 4, 6, 5, 6, 5, 4, 4, 5, 3, 2, 5, 3, 4, 4, 5, 3, 6, 3, 3, 5, 5, 1, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 8, 3, 5, 4, 3, 5, 5, 3, 5, 4, 2, 4, 5, 2, 5, 3, 3, 3, 3, 5, 5, 2, 4, 1, 2, 6, 6, 4, 2, 6, 5, 2, 6, 5, 4, 3, 8, 4, 5, 1, 6, 6, 5, 4, 6, 4, 7, 7, 6, 5, 4, 6, 5, 7, 2, 2, 7, 4, 5, 5, 4, 5, 4, 3, 4, 5, 2, 4, 6, 5, 4, 3, 4, 5, 9, 2, 6, 2, 6, 4, 3, 3, 5, 5, 6, 5, 4, 2, 7, 5, 5, 4, 6, 3, 5, 4, 5, 4, 3, 5, 4, 6, 3, 1, 3, 4, 3, 5, 4, 4, 4, 4, 4, 6, 4, 4, 3, 4, 4, 8, 5, 4, 2, 4, 1, 3, 5, 6, 3, 4, 4, 5, 4, 6, 2, 6, 4, 4, 4, 4, 3, 9, 5, 3, 4, 4, 5, 6, 3, 7, 3, 4, 4, 3, 4, 2, 2, 5, 4, 5, 2, 4, 4, 3, 5, 3, 5, 2, 6, 5, 5, 3, 4, 6, 4, 5, 4, 4, 5, 5, 3, 6, 4, 4, 5, 0, 2, 1, 6, 5, 3, 3, 4, 7, 6, 3, 2, 3, 7, 7, 4, 3, 4, 7, 3, 6, 5, 4, 5, 4, 3, 5, 3, 7, 4, 6, 5, 5, 4, 5, 6, 6, 5, 4, 5, 3, 3, 5, 5, 4, 6, 5, 4, 6, 6, 5, 4, 5, 1, 5, 5, 7, 6, 4, 5, 4, 5, 3, 6, 4, 4, 5, 6, 2, 3, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 6, 4, 6, 3, 7, 9, 6, 5, 4, 5, 5, 7, 5, 7, 5, 5, 5, 4, 8, 5, 2, 4, 6, 5, 6, 5, 6, 5, 5, 2, 3, 4, 2, 4, 1, 8, 4, 5, 4, 6, 3, 4, 2, 4, 2, 3, 4, 2, 7, 4, 3, 5, 5, 3, 3, 4, 7, 4, 4, 6, 6, 5, 3, 4, 5, 3, 2, 4, 3, 5, 7, 4, 2, 1, 3, 5, 7, 4, 6, 6, 4, 5, 3, 2, 3, 4, 4, 4, 4, 7, 5, 4, 6, 4, 3, 5, 3, 4, 4, 6, 3, 3, 3, 4, 5, 4, 3, 7, 6, -1 6, 5, 2, 4, 7, 6, 2, 4, 4, 4, 3, 5, 5, 6, 6, 5, 5, 4, 7, 3, 4, 8, 5, 2, 3, 3, 3, 4, 6, 4, 6, 4, 5, 7, 4, 9, 4, 5, 3, 2, 7, 5, 7, 4, 8, 4, 3, 6, 6, 3, 6, 6, 4, 4, 2, 6, 5, 4, 3, 6, 4, 7, 5, 2, 7, 5, 2, 4, 8, 5, 6, 7, 5, 2, 4, 5, 2, 2, 4, 3, 3, 5, 4, 5, 6, 7, 7, 5, 5, 5, 4, 5, 5, 2, 6, 5, 5, 5, 5, 4, 5, 8, 4, 3, 4, 4, 5, 3, 5, 3, 3, 3, 7, 5, 4, 8, 2, 3, 4, 5, 6, 3, 4, 4, 5, 3, 5, 6, 4, 7, 5, 5, 3, 5, 7, 3, 4, 4, 5, 5, 5, 5, 6, 4, 4, 5, 4, 2, 3, 6, 6, 3, 6, 5, 5, 3, 5, 3, 1, 4, 2, 5, 5, 6, 4, 5, 6, 4, 4, 3, 3, 5, 3, 6, 6, 4, 4, 8, 5, 5, 7, 3, 2, 5, 2, 5, 7, 5, 5, 5, 3, 3, 4, 4, 4, 6, 2, 3, 5, 4, 6, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 6, 5, 3, 4, 5, 8, 3, 5, 6, 6, 3, 4, 6, 4, 4, 5, 3, 6, 2, 5, 2, 2, 5, 5, 5, 4, 5, 3, 6, 2, 6, 4, 4, 4, 6, 5, 4, 5, 6, 4, 3, 5, 3, 6, 4, 3, 5, 6, 3, 5, 3, 6, 6, 4, 4, 4, 2, 5, 5, 7, 5, 4, 4, 3, 5, 2, 2, 5, 5, 4, 5, 6, 4, 4, 4, 8, 5, 4, 6, 4, 7, 5, 7, 6, 4, 3, 7, 4, 7, 3, 1, 4, 4, 6, 6, 6, 5, 4, 5, 7, 2, 4, 6, 3, 4, 8, 3, 4, 2, 5, 4, 4, 3, 7, 7, 5, 8, 4, 3, 4, 6, 3, 6, 5, 6, 5, 5, 4, 4, 6, 6, 5, 5, 2, 6, 4, 5, 4, 2, 5, 4, 5, 1, 3, 4, 4, 4, 5, 4, 3, 4, 3, 6, 5, 3, 6, 3, 4, 3, 5, 5, 4, 6, 5, 3, 5, 4, 4, 7, 4, 4, 6, 4, 5, 7, 5, 2, 5, 3, 7, 7, 5, 2, 4, 7, 4, 4, 4, 1, 7, 7, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 1, 6, 5, 4, 5, 4, 7, 4, 3, 6, 5, 5, 1, 7, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 6, 5, 5, 5, 3, 6, 4, 5, 5, 6, 2, 6, 4, 7, 5, 6, 5, 4, 5, 5, 4, 3, 4, 3, 4, 2, 4, 5, 5, 2, 5, 3, 5, 3, 5, 3, 5, 4, 3, 5, 4, 6, 4, 5, 1, 2, 6, 5, 4, 4, -1 3, 5, 5, 6, 3, 6, 8, 6, 4, 3, 4, 1, 6, 3, 6, 4, 4, 6, 3, 3, 5, 4, 5, 4, 5, 8, 5, 5, 4, 3, 4, 5, 3, 3, 5, 5, 4, 4, 4, 2, 5, 6, 5, 3, 7, 3, 4, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 4, 6, 5, 4, 3, 5, 4, 4, 7, 5, 8, 4, 4, 6, 5, 3, 4, 6, 8, 3, 4, 6, 2, 4, 5, 5, 4, 5, 4, 7, 2, 4, 4, 2, 1, 4, 3, 6, 6, 4, 4, 2, 4, 4, 7, 3, 5, 3, 4, 5, 5, 4, 6, 2, 6, 4, 5, 1, 4, 4, 4, 5, 5, 6, 5, 5, 4, 5, 3, 4, 6, 5, 4, 5, 5, 1, 7, 5, 4, 4, 4, 9, 3, 3, 6, 3, 4, 3, 6, 3, 5, 6, 4, 5, 4, 6, 6, 4, 5, 5, 6, 5, 4, 4, 5, 7, 5, 4, 3, 5, 4, 4, 3, 3, 5, 6, 3, 6, 6, 7, 4, 4, 6, 2, 3, 5, 5, 5, 3, 5, 3, 6, 5, 5, 3, 2, 6, 5, 5, 4, 3, 3, 2, 4, 5, 4, 5, 5, 4, 5, 3, 7, 3, 5, 5, 4, 5, 3, 4, 4, 7, 4, 6, 7, 4, 2, 2, 3, 3, 4, 5, 6, 4, 5, 5, 5, 4, 5, 3, 5, 7, 4, 4, 6, 4, 4, 7, 4, 7, 5, 3, 4, 5, 8, 6, 4, 2, 5, 6, 3, 6, 6, 2, 6, 6, 7, 5, 3, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 7, 3, 5, 5, 4, 6, 4, 3, 5, 6, 4, 3, 8, 3, 5, 6, 4, 3, 5, 5, 5, 3, 4, 5, 5, 3, 3, 5, 5, 4, 3, 4, 3, 5, 4, 6, 3, 3, 5, 5, 4, 3, 4, 6, 3, 5, 4, 4, 7, 4, 9, 4, 4, 3, 2, 1, 5, 2, 4, 3, 3, 3, 4, 4, 5, 2, 3, 3, 5, 4, 5, 5, 4, 4, 6, 3, 7, 4, 1, 4, 6, 7, 6, 4, 6, 4, 5, 2, 3, 4, 4, 3, 5, 4, 4, 6, 4, 3, 6, 3, 4, 6, 1, 7, 3, 4, 5, 2, 4, 4, 2, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 7, 5, 4, 6, 5, 8, 5, 1, 5, 3, 8, 3, 4, 6, 3, 4, 3, 4, 3, 4, 7, 4, 2, 6, 4, 4, 7, 4, 8, 3, 5, 4, 6, 6, 5, 4, 6, 3, 5, 4, 6, 4, 3, 3, 6, 6, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 7, 5, 3, 5, 4, 7, 6, 6, 6, 3, 5, 4, 3, 2, 2, 4, 5, 3, 4, 5, 6, 6, 4, 4, 4, 4, 1, 4, 4, 6, 4, 4, 5, 8, 7, 4, 5, 5, 5, 5, 6, 4, 5, 6, 4, 4, 4, -1 5, 4, 3, 4, 4, 8, 3, 3, 6, 7, 5, 5, 3, 1, 4, 6, 3, 5, 6, 5, 7, 7, 5, 4, 3, 5, 5, 2, 4, 4, 5, 4, 5, 4, 5, 5, 2, 3, 4, 5, 6, 1, 5, 4, 4, 4, 5, 7, 5, 5, 6, 3, 3, 4, 5, 4, 6, 4, 4, 5, 4, 4, 2, 3, 6, 4, 5, 4, 4, 4, 4, 6, 3, 4, 5, 2, 3, 4, 7, 3, 4, 3, 2, 4, 6, 0, 4, 4, 4, 2, 7, 5, 6, 5, 3, 4, 4, 5, 5, 5, 5, 5, 6, 5, 3, 4, 4, 4, 3, 4, 4, 3, 6, 4, 2, 4, 5, 5, 5, 1, 1, 4, 4, 4, 6, 5, 2, 7, 4, 4, 3, 6, 6, 6, 7, 6, 7, 6, 5, 3, 2, 5, 3, 2, 5, 5, 3, 6, 6, 4, 3, 6, 2, 6, 5, 3, 5, 5, 6, 3, 5, 3, 7, 5, 6, 6, 5, 3, 2, 5, 4, 6, 7, 3, 5, 4, 3, 5, 5, 3, 7, 7, 4, 4, 5, 7, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 7, 5, 7, 4, 4, 5, 2, 3, 3, 3, 7, 6, 3, 4, 5, 2, 6, 5, 2, 3, 4, 6, 5, 3, 5, 5, 5, 6, 1, 5, 4, 5, 4, 3, 3, 5, 5, 0, 5, 8, 4, 6, 4, 4, 3, 5, 5, 3, 4, 5, 2, 4, 6, 3, 4, 4, 8, 4, 5, 2, 5, 3, 7, 2, 4, 6, 4, 3, 4, 5, 3, 4, 3, 4, 6, 4, 5, 5, 7, 2, 7, 5, 3, 6, 5, 4, 5, 3, 5, 5, 3, 3, 4, 7, 5, 3, 3, 3, 5, 2, 5, 6, 3, 4, 2, 6, 4, 4, 5, 4, 4, 7, 6, 4, 5, 5, 4, 4, 5, 2, 5, 5, 6, 4, 4, 3, 3, 5, 5, 3, 4, 4, 4, 4, 2, 5, 3, 3, 6, 4, 4, 3, 3, 6, 4, 3, 6, 4, 2, 6, 4, 4, 4, 5, 4, 5, 5, 2, 3, 5, 6, 4, 3, 6, 5, 4, 6, 6, 4, 2, 5, 4, 3, 4, 6, 5, 4, 4, 4, 6, 5, 6, 6, 7, 3, 3, 4, 6, 4, 3, 4, 2, 4, 3, 3, 3, 2, 7, 4, 4, 4, 5, 5, 4, 6, 7, 5, 5, 5, 5, 3, 4, 1, 5, 5, 5, 1, 3, 7, 4, 8, 4, 1, 4, 4, 4, 4, 5, 6, 4, 8, 5, 5, 5, 3, 6, 4, 7, 6, 4, 4, 3, 5, 4, 3, 2, 2, 2, 4, 4, 2, 5, 3, 4, 4, 5, 2, 6, 4, 4, 5, 4, 5, 5, 7, 4, 4, 6, 3, 5, 2, 4, 4, 6, 3, 3, 3, 4, 4, 7, 4, 4, 5, 2, 6, 5, 4, 4, 5, 7, 5, 3, 7, 5, 3, 4, 3, 5, 4, 2, 5, 5, 1 6, 4, 4, 4, 6, 3, 4, 4, 3, 5, 4, 3, 6, 5, 5, 3, 4, 6, 4, 4, 5, 6, 5, 3, 5, 4, 6, 5, 3, 2, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5, 8, 3, 4, 3, 3, 5, 4, 4, 5, 6, 5, 5, 4, 1, 3, 6, 4, 1, 5, 3, 3, 4, 6, 2, 5, 3, 8, 3, 5, 6, 4, 4, 3, 4, 7, 3, 5, 3, 4, 5, 5, 5, 3, 5, 6, 4, 6, 5, 4, 4, 5, 4, 6, 2, 3, 4, 5, 6, 6, 2, 3, 6, 8, 3, 1, 5, 3, 5, 5, 2, 2, 5, 5, 4, 4, 6, 5, 8, 7, 6, 4, 3, 4, 4, 3, 4, 4, 4, 6, 5, 6, 4, 2, 5, 5, 4, 4, 7, 4, 4, 4, 2, 3, 4, 3, 6, 5, 4, 3, 4, 4, 7, 4, 4, 6, 2, 4, 6, 5, 4, 6, 4, 4, 3, 4, 6, 8, 4, 3, 7, 3, 4, 5, 6, 3, 7, 7, 4, 5, 5, 5, 6, 5, 6, 3, 6, 2, 4, 5, 2, 4, 6, 4, 4, 3, 4, 5, 4, 5, 3, 2, 5, 3, 6, 5, 4, 5, 5, 6, 3, 4, 5, 4, 4, 5, 3, 6, 3, 5, 6, 4, 7, 4, 4, 5, 6, 3, 4, 6, 3, 5, 8, 6, 7, 2, 2, 6, 5, 3, 5, 3, 5, 3, 4, 3, 5, 6, 3, 4, 8, 4, 4, 5, 7, 2, 4, 5, 4, 5, 4, 4, 6, 4, 2, 4, 4, 4, 6, 3, 6, 4, 4, 3, 4, 6, 4, 3, 4, 1, 4, 4, 7, 4, 4, 4, 3, 4, 4, 4, 5, 1, 7, 4, 2, 3, 4, 6, 8, 5, 6, 5, 5, 8, 2, 5, 4, 7, 2, 3, 4, 4, 4, 7, 3, 6, 3, 5, 7, 5, 5, 5, 5, 2, 4, 5, 7, 5, 7, 2, 5, 5, 3, 4, 5, 5, 5, 3, 3, 4, 3, 4, 0, 6, 6, 3, 4, 4, 6, 6, 6, 3, 6, 4, 5, 4, 3, 5, 3, 4, 8, 4, 3, 6, 5, 5, 5, 5, 2, 5, 4, 3, 5, 6, 3, 4, 5, 7, 4, 4, 4, 6, 3, 7, 4, 5, 6, 6, 5, 5, 4, 3, 4, 5, 4, 6, 3, 2, 5, 4, 5, 6, 5, 5, 3, 6, 5, 4, 7, 5, 3, 1, 6, 6, 6, 3, 3, 4, 4, 4, 2, 2, 5, 4, 5, 3, 3, 5, 3, 4, 6, 6, 3, 7, 3, 6, 5, 4, 5, 5, 7, 6, 4, 4, 3, 4, 6, 3, 1, 3, 4, 5, 3, 4, 4, 5, 3, 3, 3, 6, 4, 4, 8, 5, 6, 6, 4, 4, 5, 5, 5, 6, 5, 3, 5, 5, 4, 2, 5, 4, 6, 4, 8, 1, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 3, 1 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 6, 6, 5, 4, 3, 4, 6, 6, 5, 5, 7, 4, 4, 5, 2, 3, 2, 5, 6, 3, 3, 4, 4, 2, 6, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 7, 6, 4, 3, 4, 8, 5, 5, 4, 6, 5, 3, 4, 2, 3, 4, 3, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 1, 3, 4, 6, 3, 3, 3, 5, 5, 7, 2, 4, 4, 7, 6, 4, 6, 6, 2, 8, 3, 3, 4, 8, 4, 4, 3, 3, 6, 6, 6, 2, 6, 4, 5, 0, 5, 5, 4, 5, 4, 1, 3, 7, 4, 3, 2, 5, 6, 6, 4, 7, 6, 4, 5, 4, 7, 6, 3, 3, 4, 5, 5, 4, 6, 6, 3, 3, 7, 6, 5, 3, 4, 6, 4, 6, 6, 5, 4, 6, 3, 6, 5, 3, 2, 6, 5, 2, 3, 6, 3, 2, 3, 4, 3, 4, 7, 6, 5, 4, 6, 4, 7, 4, 5, 4, 5, 4, 4, 8, 8, 3, 5, 5, 5, 2, 7, 4, 5, 4, 2, 5, 4, 7, 5, 5, 4, 1, 4, 9, 4, 6, 4, 6, 6, 3, 7, 7, 4, 6, 2, 2, 7, 4, 6, 5, 5, 5, 5, 5, 4, 6, 6, 2, 4, 6, 4, 7, 6, 3, 4, 7, 4, 3, 6, 4, 3, 6, 5, 5, 4, 4, 5, 4, 3, 6, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 2, 5, 4, 4, 5, 3, 2, 2, 6, 6, 4, 5, 3, 4, 5, 7, 4, 5, 6, 5, 3, 5, 6, 6, 6, 6, 5, 6, 6, 3, 3, 3, 4, 5, 4, 4, 5, 1, 4, 4, 2, 3, 4, 6, 4, 6, 5, 7, 5, 5, 2, 8, 3, 6, 4, 6, 4, 2, 5, 5, 4, 4, 6, 3, 3, 8, 3, 5, 5, 4, 3, 6, 4, 3, 4, 2, 3, 6, 3, 5, 4, 3, 6, 7, 4, 0, 6, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 4, 4, 2, 4, 3, 5, 5, 3, 5, 6, 5, 5, 8, 3, 4, 5, 3, 4, 6, 4, 4, 4, 4, 4, 3, 5, 4, 6, 4, 5, 4, 3, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 6, 7, 3, 5, 4, 2, 3, 3, 4, 4, 3, 6, 6, 5, 4, 5, 6, 4, 3, 5, 5, 5, 4, 4, 4, 2, 5, 7, 3, 2, 7, 4, 6, 4, 6, 4, 3, 4, 4, 7, 4, 3, 3, 3, 5, 6, 6, 6, 6, 3, 2, 6, 3, 5, 3, 3, 7, 5, 7, 3, 5, 5, 3, 5, 5, 5, 3, 5, 7, 6, 5, 5, 3, 3, 6, 2, 4, 0, 5, 4, 4, 4, 5, 4, 6, 2, 6, 6, 6, 5, 4, 4, 7, 7, -1 7, 4, 5, 5, 7, 3, 4, 6, 5, 3, 4, 6, 4, 5, 3, 4, 5, 4, 3, 4, 7, 4, 3, 3, 4, 6, 3, 6, 2, 3, 5, 4, 5, 2, 6, 6, 5, 4, 4, 6, 5, 4, 3, 3, 5, 6, 5, 4, 6, 5, 4, 2, 4, 2, 4, 4, 3, 3, 6, 5, 5, 3, 4, 2, 4, 8, 4, 4, 6, 7, 5, 5, 3, 7, 2, 6, 4, 6, 5, 4, 4, 2, 5, 3, 6, 7, 5, 6, 6, 4, 2, 4, 4, 4, 6, 4, 3, 5, 2, 6, 2, 5, 4, 5, 5, 6, 7, 7, 7, 4, 6, 5, 5, 5, 4, 5, 3, 3, 6, 7, 3, 3, 5, 3, 5, 5, 5, 5, 7, 5, 3, 3, 6, 8, 2, 6, 8, 6, 2, 4, 5, 7, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 6, 7, 5, 7, 8, 3, 3, 4, 5, 5, 6, 6, 4, 3, 6, 5, 3, 4, 2, 6, 3, 4, 6, 5, 6, 4, 4, 3, 3, 9, 4, 4, 4, 6, 5, 4, 5, 2, 6, 5, 5, 3, 3, 3, 5, 2, 4, 4, 5, 5, 5, 4, 3, 3, 5, 6, 5, 5, 6, 5, 2, 4, 4, 3, 7, 5, 7, 4, 6, 6, 5, 6, 5, 5, 4, 5, 5, 3, 3, 4, 3, 5, 5, 5, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 6, 5, 6, 5, 4, 4, 5, 7, 4, 6, 4, 1, 5, 7, 8, 5, 4, 4, 4, 4, 4, 4, 5, 2, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 6, 3, 2, 4, 2, 5, 3, 4, 6, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 3, 6, 5, 5, 4, 3, 4, 5, 3, 4, 6, 6, 3, 7, 7, 6, 8, 4, 3, 4, 2, 2, 4, 3, 4, 5, 3, 6, 4, 3, 4, 3, 2, 3, 4, 4, 6, 5, 5, 5, 5, 3, 4, 5, 3, 4, 2, 3, 6, 4, 5, 5, 2, 4, 5, 5, 5, 3, 3, 2, 3, 5, 6, 6, 4, 6, 3, 3, 6, 6, 5, 3, 3, 5, 6, 4, 6, 4, 5, 2, 4, 4, 2, 5, 5, 5, 4, 3, 5, 3, 5, 5, 6, 3, 3, 2, 3, 3, 3, 3, 3, 1, 6, 3, 3, 4, 6, 4, 5, 3, 2, 6, 3, 4, 3, 5, 8, 3, 6, 2, 4, 5, 8, 5, 3, 3, 3, 5, 4, 5, 6, 3, 7, 8, 4, 5, 5, 4, 5, 5, 5, 2, 4, 8, 4, 2, 5, 4, 6, 6, 6, 4, 1, 3, 5, 6, 2, 5, 5, 5, 5, 6, 7, 4, 1, 4, 6, 3, 2, 6, 7, 1, 6, 3, 1, 4, 6, 6, 4, 4, 5, 4, 4, 8, 4, 5, 3, 4, 3, 3, 1 6, 5, 4, 4, 2, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 7, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 6, 4, 4, 3, 6, 5, 3, 3, 5, 6, 5, 5, 6, 4, 7, 5, 5, 5, 6, 3, 7, 6, 5, 6, 0, 5, 4, 4, 2, 6, 3, 3, 3, 4, 4, 6, 4, 4, 5, 3, 7, 5, 7, 5, 4, 4, 5, 6, 5, 5, 3, 6, 2, 4, 7, 3, 6, 5, 3, 5, 7, 4, 3, 3, 2, 3, 4, 3, 6, 4, 4, 4, 6, 8, 5, 3, 3, 6, 5, 4, 4, 4, 3, 3, 6, 4, 6, 5, 4, 7, 4, 4, 5, 5, 1, 4, 6, 3, 4, 5, 4, 4, 4, 5, 6, 4, 6, 5, 6, 4, 4, 7, 4, 3, 3, 2, 5, 3, 6, 7, 3, 5, 5, 4, 4, 3, 4, 7, 4, 5, 6, 5, 5, 4, 3, 3, 4, 4, 3, 5, 2, 5, 4, 2, 3, 8, 5, 2, 7, 5, 5, 5, 4, 5, 9, 3, 4, 4, 5, 5, 7, 4, 5, 3, 5, 3, 4, 3, 6, 6, 0, 4, 4, 5, 8, 5, 2, 4, 6, 4, 4, 3, 4, 5, 5, 6, 4, 4, 7, 6, 3, 5, 4, 4, 6, 5, 5, 3, 4, 3, 5, 3, 6, 6, 7, 4, 4, 6, 3, 3, 6, 3, 6, 4, 5, 7, 5, 5, 5, 5, 4, 2, 4, 5, 4, 5, 4, 3, 4, 4, 4, 7, 3, 3, 5, 2, 4, 3, 4, 7, 4, 4, 3, 5, 5, 5, 6, 5, 2, 4, 4, 3, 5, 4, 2, 7, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 6, 3, 2, 4, 4, 7, 5, 6, 6, 5, 0, 4, 2, 6, 4, 5, 4, 9, 3, 2, 7, 4, 7, 4, 7, 6, 4, 4, 2, 7, 5, 4, 5, 5, 3, 1, 4, 4, 7, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 6, 4, 3, 5, 2, 3, 3, 3, 6, 6, 3, 2, 7, 7, 4, 4, 4, 4, 6, 4, 7, 3, 5, 4, 3, 3, 3, 5, 4, 7, 3, 4, 6, 6, 3, 4, 4, 5, 2, 3, 5, 7, 6, 6, 5, 2, 6, 5, 3, 5, 7, 4, 5, 7, 3, 1, 2, 2, 3, 5, 4, 4, 3, 4, 4, 7, 3, 4, 4, 5, 6, 2, 7, 5, 5, 3, 3, 6, 6, 6, 5, 2, 4, 4, 1, 6, 2, 3, 3, 5, 5, 5, 6, 4, 5, 4, 5, 4, 2, 7, 7, 7, 5, 3, 5, 5, 7, 6, 4, 3, 4, 4, 3, 2, 1, 3, 2, 3, 4, 6, 4, 4, 6, 3, 3, 5, 5, 2, 7, 5, 4, 6, 4, 3, 0, 3, 3, 3, 6, 3, 3, 4, 5, 6, 1 1, 5, 2, 4, 4, 0, 1, 5, 2, 6, 4, 5, 6, 4, 6, 2, 9, 5, 3, 3, 5, 6, 5, 6, 4, 4, 6, 4, 5, 0, 6, 2, 4, 6, 7, 5, 4, 6, 4, 3, 4, 4, 4, 5, 7, 2, 5, 5, 8, 4, 4, 6, 3, 5, 4, 6, 4, 4, 4, 8, 6, 4, 2, 5, 5, 5, 6, 6, 7, 4, 5, 3, 6, 5, 6, 3, 2, 4, 6, 6, 6, 7, 4, 4, 5, 4, 4, 4, 5, 1, 7, 9, 5, 5, 5, 2, 3, 4, 4, 3, 6, 4, 5, 5, 3, 4, 7, 4, 3, 6, 6, 5, 3, 8, 4, 4, 5, 2, 2, 4, 3, 3, 6, 8, 5, 5, 5, 6, 5, 3, 4, 3, 5, 4, 5, 5, 6, 6, 3, 2, 6, 6, 5, 4, 6, 5, 4, 7, 5, 6, 5, 2, 6, 2, 4, 2, 7, 5, 6, 4, 3, 7, 6, 4, 3, 5, 5, 7, 4, 4, 6, 5, 4, 2, 5, 8, 4, 5, 6, 6, 3, 4, 5, 5, 8, 6, 5, 3, 6, 5, 7, 7, 3, 4, 3, 6, 3, 6, 5, 5, 6, 4, 6, 5, 2, 7, 4, 7, 5, 3, 3, 3, 3, 2, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 1, 4, 7, 3, 4, 6, 4, 5, 3, 2, 3, 3, 5, 6, 5, 2, 7, 6, 6, 5, 3, 4, 8, 3, 7, 5, 7, 7, 6, 6, 5, 4, 7, 4, 5, 5, 3, 2, 4, 6, 5, 4, 5, 4, 4, 6, 4, 4, 5, 4, 4, 4, 2, 5, 1, 7, 4, 5, 4, 6, 5, 4, 4, 3, 4, 4, 4, 6, 3, 7, 2, 5, 7, 4, 5, 4, 2, 4, 4, 4, 6, 3, 5, 6, 5, 2, 3, 5, 1, 6, 4, 5, 3, 4, 3, 3, 6, 5, 5, 5, 2, 4, 4, 5, 3, 4, 2, 6, 3, 5, 6, 6, 5, 5, 5, 3, 4, 3, 4, 1, 4, 1, 5, 6, 5, 4, 8, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 2, 6, 5, 2, 3, 0, 3, 5, 3, 4, 6, 3, 7, 5, 5, 2, 3, 6, 3, 3, 5, 4, 3, 5, 5, 5, 4, 6, 1, 4, 3, 2, 3, 5, 5, 6, 5, 3, 1, 5, 4, 4, 3, 2, 2, 1, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 2, 5, 4, 3, 5, 3, 6, 3, 6, 2, 0, 3, 5, 7, 5, 3, 5, 3, 5, 5, 4, 5, 3, 3, 7, 6, 5, 5, 4, 3, 5, 6, 4, 3, 3, 4, 6, 7, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 5, 4, 3, 4, 5, 6, 5, 3, 6, 6, 2, 4, 5, 3, 5, 2, 5, 5, 6, 6, 4, 4, 1 5, 3, 5, 3, 4, 4, 3, 4, 5, 2, 6, 6, 7, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 4, 5, 5, 5, 6, 4, 5, 4, 4, 4, 4, 5, 5, 3, 3, 8, 4, 6, 6, 3, 7, 4, 1, 1, 3, 3, 4, 4, 6, 6, 4, 3, 5, 6, 4, 3, 5, 5, 3, 2, 5, 6, 2, 3, 2, 5, 6, 4, 6, 5, 3, 4, 2, 3, 5, 5, 4, 4, 6, 3, 4, 7, 4, 5, 4, 4, 6, 7, 5, 7, 7, 1, 2, 5, 3, 5, 3, 3, 4, 3, 5, 5, 2, 5, 6, 4, 6, 4, 4, 7, 5, 5, 5, 4, 3, 6, 5, 3, 6, 5, 5, 2, 5, 6, 3, 3, 4, 5, 4, 4, 6, 6, 3, 3, 6, 5, 6, 4, 5, 1, 3, 4, 2, 4, 4, 5, 4, 5, 5, 6, 4, 2, 8, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 6, 4, 4, 3, 5, 6, 6, 5, 6, 4, 8, 4, 5, 8, 3, 6, 5, 3, 5, 3, 5, 4, 3, 3, 3, 6, 3, 4, 4, 5, 4, 5, 9, 4, 5, 5, 6, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 5, 1, 3, 3, 5, 5, 3, 4, 4, 4, 4, 3, 5, 8, 3, 6, 3, 3, 6, 4, 5, 5, 3, 4, 1, 4, 4, 3, 2, 4, 4, 4, 5, 5, 6, 4, 5, 5, 2, 6, 5, 2, 1, 3, 4, 5, 3, 4, 4, 3, 5, 5, 5, 7, 5, 6, 6, 6, 3, 5, 3, 4, 5, 5, 4, 2, 4, 4, 4, 7, 6, 7, 5, 4, 3, 5, 3, 4, 5, 6, 4, 7, 2, 5, 5, 5, 4, 4, 5, 5, 6, 3, 4, 7, 5, 4, 5, 4, 7, 4, 4, 5, 3, 4, 5, 2, 7, 3, 4, 7, 4, 5, 4, 5, 5, 4, 4, 2, 4, 2, 5, 6, 3, 6, 2, 2, 4, 1, 5, 5, 4, 6, 5, 7, 2, 3, 5, 3, 6, 7, 5, 3, 4, 5, 6, 4, 4, 5, 6, 4, 5, 3, 4, 5, 5, 6, 4, 6, 4, 3, 4, 4, 3, 3, 4, 3, 6, 4, 5, 6, 7, 5, 3, 6, 5, 4, 4, 6, 3, 4, 3, 4, 7, 4, 6, 7, 3, 6, 7, 3, 2, 7, 3, 4, 6, 7, 4, 5, 4, 4, 5, 5, 2, 3, 6, 4, 5, 4, 4, 3, 5, 2, 2, 6, 5, 7, 5, 3, 4, 4, 3, 6, 5, 5, 6, 7, 4, 5, 1, 4, 5, 5, 3, 4, 5, 6, 3, 3, 4, 6, 8, 4, 3, 4, 4, 5, 3, 3, 7, 5, 3, 4, 4, 4, 3, 2, 5, 5, 5, 6, 3, 5, 4, 5, 7, 6, 3, 4, 4, 4, 4, 7, 3, 3, 2, 6, 4, 6, 3, 5, 4, 5, 6, 5, 6, 1 5, 4, 4, 7, 4, 4, 5, 2, 7, 5, 3, 5, 4, 4, 7, 7, 7, 4, 4, 5, 6, 3, 3, 3, 5, 5, 6, 5, 3, 1, 6, 6, 2, 6, 7, 4, 6, 3, 3, 5, 6, 3, 5, 3, 6, 4, 1, 3, 6, 4, 7, 5, 5, 5, 2, 6, 5, 6, 4, 4, 3, 5, 3, 3, 4, 2, 4, 4, 6, 1, 6, 7, 1, 4, 4, 5, 3, 3, 6, 4, 4, 4, 2, 3, 4, 5, 6, 2, 6, 3, 7, 5, 5, 6, 6, 4, 5, 3, 5, 3, 4, 3, 3, 4, 3, 6, 5, 4, 2, 5, 7, 4, 3, 5, 4, 5, 7, 5, 4, 7, 3, 6, 5, 6, 6, 5, 4, 4, 6, 5, 5, 5, 2, 7, 7, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 6, 5, 4, 5, 7, 6, 3, 5, 7, 3, 4, 6, 4, 4, 5, 4, 4, 7, 2, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 3, 6, 4, 5, 6, 3, 5, 2, 3, 3, 3, 6, 2, 4, 6, 8, 3, 2, 6, 6, 4, 3, 5, 4, 0, 3, 5, 5, 5, 2, 3, 4, 4, 5, 1, 2, 4, 3, 4, 6, 5, 1, 3, 5, 6, 5, 6, 3, 4, 5, 4, 7, 5, 1, 5, 3, 4, 5, 6, 5, 4, 7, 5, 6, 4, 4, 6, 3, 5, 6, 5, 6, 2, 5, 4, 3, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 6, 7, 4, 7, 5, 4, 3, 3, 5, 4, 4, 3, 2, 3, 4, 3, 4, 4, 5, 6, 5, 6, 7, 4, 6, 5, 3, 6, 6, 5, 6, 7, 3, 4, 5, 4, 7, 2, 4, 4, 5, 4, 7, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 6, 5, 3, 4, 4, 6, 4, 3, 4, 3, 7, 7, 4, 2, 4, 5, 2, 5, 5, 4, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 5, 2, 5, 6, 4, 8, 4, 4, 2, 1, 4, 7, 4, 3, 3, 5, 3, 4, 5, 4, 5, 6, 6, 3, 5, 6, 5, 6, 4, 2, 4, 3, 2, 3, 4, 3, 4, 3, 5, 3, 4, 3, 5, 3, 5, 4, 6, 5, 4, 7, 5, 3, 5, 4, 5, 4, 8, 5, 4, 5, 4, 2, 4, 2, 7, 5, 1, 7, 4, 4, 4, 5, 4, 4, 3, 3, 2, 2, 3, 5, 7, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 8, 4, 5, 3, 5, 6, 0, 3, 3, 6, 5, 4, 5, 3, 5, 4, 4, 4, 6, 4, 4, 3, 4, 5, 4, 5, 5, 6, 2, 8, 1, 7, 8, 2, 1, 4, 4, 8, 4, 5, 3, 6, 4, 4, 5, 6, 5, 4, 1, 6, 3, 3, 1 4, 1, 6, 3, 5, 3, 6, 4, 1, 5, 4, 5, 4, 6, 4, 7, 5, 6, 5, 3, 7, 5, 4, 6, 3, 3, 4, 4, 8, 5, 4, 3, 4, 5, 4, 2, 5, 3, 1, 3, 6, 4, 3, 4, 7, 3, 4, 3, 7, 6, 4, 5, 5, 3, 5, 4, 5, 2, 4, 2, 5, 1, 4, 5, 3, 4, 3, 5, 8, 5, 5, 3, 3, 5, 4, 6, 3, 3, 5, 4, 4, 4, 4, 4, 5, 1, 3, 5, 4, 6, 4, 6, 5, 4, 5, 5, 7, 5, 6, 4, 4, 3, 5, 2, 3, 6, 6, 3, 1, 5, 4, 4, 5, 6, 1, 5, 3, 3, 6, 4, 3, 5, 6, 5, 4, 3, 4, 5, 7, 5, 6, 4, 7, 4, 7, 6, 4, 5, 4, 7, 7, 2, 4, 1, 5, 5, 4, 2, 5, 7, 6, 6, 6, 1, 3, 5, 3, 4, 5, 3, 8, 7, 5, 6, 4, 4, 7, 4, 4, 3, 8, 7, 3, 3, 6, 3, 5, 6, 5, 4, 3, 4, 5, 4, 4, 1, 4, 4, 5, 6, 5, 3, 3, 6, 4, 5, 5, 4, 3, 6, 3, 6, 7, 5, 5, 6, 4, 5, 5, 2, 4, 5, 2, 3, 5, 6, 5, 4, 5, 3, 6, 4, 3, 4, 4, 1, 6, 5, 3, 4, 4, 6, 2, 6, 5, 3, 5, 4, 4, 5, 3, 7, 4, 7, 4, 5, 5, 5, 4, 6, 3, 4, 5, 5, 2, 6, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 7, 5, 5, 7, 6, 5, 3, 4, 4, 5, 3, 6, 2, 5, 5, 5, 6, 6, 5, 5, 5, 5, 1, 3, 4, 4, 3, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 3, 5, 4, 5, 6, 4, 3, 5, 6, 3, 4, 2, 8, 7, 5, 6, 5, 3, 2, 1, 6, 2, 2, 3, 6, 2, 4, 7, 5, 3, 3, 4, 4, 6, 5, 4, 7, 5, 3, 4, 3, 4, 4, 3, 5, 4, 2, 2, 6, 4, 5, 6, 5, 6, 3, 6, 5, 4, 4, 3, 6, 5, 6, 4, 3, 3, 4, 4, 4, 6, 4, 4, 7, 3, 5, 1, 5, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 7, 3, 5, 5, 5, 4, 5, 5, 4, 5, 6, 3, 5, 7, 6, 3, 7, 4, 3, 3, 4, 7, 4, 5, 6, 5, 7, 5, 5, 4, 4, 7, 4, 2, 4, 4, 2, 5, 4, 3, 6, 5, 5, 3, 5, 1, 6, 5, 5, 6, 3, 5, 8, 3, 9, 6, 2, 4, 6, 5, 3, 7, 5, 5, 9, 3, 3, 6, 4, 6, 6, 4, 4, 3, 6, 1, 4, 6, 7, 5, 4, 4, 4, 7, 5, 6, 5, 7, 4, 6, 5, 5, 5, 3, 6, 5, 0, 1, 6, 5, 4, 4, 2, 1 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 3, 4, 6, 6, 2, 3, 5, 5, 5, 6, 5, 4, 4, 3, 1, 6, 4, 4, 4, 5, 3, 6, 7, 3, 7, 5, 5, 4, 4, 5, 4, 3, 4, 6, 3, 5, 4, 2, 6, 6, 3, 4, 4, 4, 2, 4, 3, 5, 3, 2, 5, 5, 4, 4, 7, 5, 5, 1, 8, 3, 4, 4, 6, 2, 6, 4, 7, 7, 6, 3, 3, 1, 6, 7, 6, 4, 2, 7, 3, 3, 2, 6, 4, 4, 5, 5, 2, 5, 2, 8, 6, 3, 5, 7, 5, 5, 3, 4, 5, 4, 3, 6, 5, 5, 1, 5, 5, 2, 4, 6, 3, 5, 6, 7, 6, 5, 4, 2, 3, 8, 6, 5, 4, 7, 5, 4, 5, 3, 3, 3, 5, 5, 5, 4, 4, 5, 7, 6, 5, 7, 4, 6, 5, 6, 4, 4, 4, 6, 3, 5, 4, 4, 6, 5, 5, 6, 2, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 0, 4, 3, 7, 1, 5, 7, 5, 5, 6, 5, 4, 3, 3, 5, 6, 4, 4, 8, 5, 5, 5, 4, 6, 3, 4, 6, 4, 3, 4, 7, 6, 3, 6, 5, 3, 5, 4, 6, 4, 5, 3, 6, 2, 5, 4, 6, 3, 4, 6, 3, 4, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 2, 5, 4, 4, 4, 6, 4, 3, 5, 6, 2, 1, 4, 7, 6, 3, 4, 5, 5, 3, 5, 4, 4, 2, 4, 3, 5, 6, 3, 7, 1, 4, 3, 5, 4, 7, 4, 3, 5, 6, 5, 5, 1, 4, 5, 4, 6, 1, 4, 4, 4, 5, 2, 5, 5, 6, 7, 5, 4, 5, 6, 4, 4, 5, 5, 5, 3, 6, 3, 4, 5, 4, 7, 6, 8, 2, 6, 2, 9, 6, 5, 3, 5, 6, 8, 3, 4, 2, 4, 7, 6, 5, 6, 4, 5, 5, 4, 7, 5, 6, 3, 3, 5, 6, 3, 5, 2, 4, 5, 3, 1, 6, 5, 6, 3, 5, 4, 3, 2, 5, 3, 5, 6, 1, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 3, 4, 3, 5, 5, 7, 3, 3, 5, 3, 5, 7, 3, 4, 4, 8, 3, 5, 4, 3, 5, 5, 5, 4, 3, 4, 7, 4, 5, 8, 5, 3, 4, 4, 4, 5, 3, 2, 5, 5, 4, 5, 3, 9, 7, 5, 3, 4, 6, 5, 5, 4, 6, 4, 6, 4, 4, 4, 4, 3, 5, 4, 4, 6, 3, 5, 4, 6, 5, 7, 3, 5, 4, 5, 4, 5, 1, 2, 5, 4, 6, 6, 4, 5, 5, 6, 7, 5, 4, 3, 5, 6, 4, 4, 5, 4, 5, 4, 5, 6, 5, 4, 5, 7, 2, 3, 4, 5, 6, 4, 6, 8, 5, 4, 4, 5, 4, 4, 6, 2, 1 5, 6, 5, 6, 4, 6, 4, 4, 2, 3, 6, 6, 6, 4, 4, 3, 5, 4, 6, 5, 5, 4, 4, 6, 4, 2, 3, 4, 5, 5, 4, 3, 3, 3, 5, 5, 2, 4, 4, 5, 8, 3, 4, 6, 4, 4, 3, 4, 6, 7, 5, 4, 6, 4, 4, 5, 6, 4, 5, 5, 6, 3, 7, 4, 6, 4, 6, 4, 6, 4, 4, 5, 3, 4, 4, 4, 5, 3, 3, 7, 6, 4, 6, 6, 6, 8, 2, 4, 3, 5, 7, 5, 4, 7, 7, 5, 0, 5, 7, 6, 6, 5, 5, 5, 4, 6, 6, 5, 6, 6, 4, 4, 2, 6, 1, 2, 3, 2, 3, 6, 4, 2, 3, 4, 8, 3, 6, 4, 6, 3, 4, 3, 8, 4, 5, 4, 6, 4, 3, 7, 2, 7, 4, 4, 5, 5, 5, 3, 5, 3, 3, 4, 5, 6, 4, 4, 4, 5, 7, 6, 4, 3, 5, 3, 3, 3, 5, 5, 4, 2, 4, 4, 4, 2, 7, 9, 5, 5, 4, 3, 3, 5, 2, 5, 5, 6, 6, 5, 6, 5, 4, 3, 3, 5, 4, 6, 5, 4, 3, 5, 6, 3, 5, 3, 0, 4, 6, 4, 2, 7, 7, 4, 7, 3, 5, 6, 4, 1, 4, 6, 5, 4, 4, 5, 4, 2, 5, 3, 6, 6, 6, 2, 3, 6, 6, 4, 5, 2, 5, 1, 4, 3, 3, 4, 6, 5, 6, 4, 5, 4, 5, 5, 3, 4, 3, 2, 6, 5, 4, 3, 8, 8, 8, 5, 3, 6, 6, 7, 2, 4, 3, 6, 7, 2, 3, 3, 7, 3, 4, 5, 4, 6, 5, 4, 5, 4, 5, 4, 5, 4, 7, 6, 5, 2, 3, 6, 3, 3, 4, 5, 4, 7, 4, 5, 3, 7, 3, 4, 4, 5, 6, 3, 7, 5, 5, 4, 6, 7, 5, 4, 4, 6, 3, 6, 4, 4, 5, 4, 2, 5, 4, 4, 4, 3, 3, 6, 5, 5, 4, 1, 6, 4, 7, 6, 3, 3, 2, 4, 3, 4, 4, 5, 3, 6, 4, 5, 6, 7, 7, 5, 3, 5, 7, 5, 7, 1, 5, 4, 4, 6, 5, 4, 3, 5, 3, 4, 4, 2, 6, 6, 4, 6, 1, 4, 1, 4, 4, 4, 5, 4, 7, 3, 5, 5, 5, 5, 6, 5, 5, 2, 6, 4, 6, 5, 3, 3, 5, 4, 4, 4, 6, 4, 4, 6, 4, 1, 2, 5, 2, 3, 5, 5, 4, 7, 5, 1, 4, 5, 5, 4, 5, 1, 6, 6, 3, 3, 7, 5, 5, 4, 4, 6, 5, 4, 3, 8, 5, 4, 4, 4, 3, 5, 4, 8, 4, 3, 3, 4, 7, 3, 6, 4, 3, 4, 7, 4, 4, 4, 4, 6, 4, 4, 5, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 4, 7, 7, 3, 3, 2, 8, 6, 4, 4, 6, 5, 5, 5, 3, 2, 2, -1 5, 3, 1, 4, 3, 6, 8, 3, 2, 3, 5, 2, 8, 3, 6, 7, 6, 4, 5, 6, 7, 2, 7, 3, 5, 5, 6, 5, 3, 5, 5, 3, 5, 3, 6, 5, 4, 5, 4, 3, 8, 5, 4, 6, 4, 5, 5, 4, 6, 6, 5, 1, 3, 4, 4, 4, 5, 3, 3, 4, 5, 6, 5, 4, 3, 5, 3, 4, 6, 5, 3, 4, 6, 3, 4, 4, 3, 5, 5, 4, 6, 5, 5, 5, 3, 6, 5, 3, 4, 4, 4, 3, 9, 4, 4, 2, 5, 5, 6, 3, 5, 3, 2, 3, 1, 6, 4, 3, 5, 0, 2, 7, 5, 5, 6, 4, 3, 6, 7, 1, 4, 3, 4, 4, 5, 4, 3, 6, 6, 6, 7, 3, 6, 3, 7, 5, 5, 6, 4, 5, 3, 4, 1, 4, 4, 5, 6, 3, 3, 3, 5, 2, 5, 3, 6, 6, 4, 5, 4, 4, 2, 7, 4, 4, 4, 4, 6, 7, 3, 1, 5, 6, 5, 4, 4, 4, 4, 5, 4, 2, 3, 2, 4, 5, 3, 6, 4, 4, 6, 5, 7, 6, 4, 4, 6, 3, 5, 4, 3, 3, 5, 7, 3, 5, 5, 4, 4, 5, 4, 7, 6, 7, 5, 2, 3, 4, 1, 4, 4, 2, 5, 7, 4, 3, 3, 5, 4, 2, 6, 4, 5, 7, 3, 4, 2, 4, 4, 0, 4, 0, 3, 7, 7, 4, 4, 4, 4, 5, 5, 3, 5, 6, 5, 7, 3, 4, 2, 5, 6, 4, 5, 4, 5, 4, 5, 2, 5, 6, 3, 5, 3, 4, 4, 4, 3, 6, 7, 4, 8, 4, 4, 3, 6, 4, 3, 5, 8, 5, 3, 3, 3, 6, 5, 6, 7, 5, 4, 5, 6, 6, 4, 7, 4, 4, 6, 7, 5, 2, 5, 4, 4, 4, 3, 5, 5, 6, 3, 6, 4, 6, 3, 4, 2, 3, 6, 4, 4, 5, 3, 6, 4, 3, 5, 6, 4, 4, 2, 8, 4, 5, 6, 6, 4, 5, 6, 5, 4, 4, 3, 3, 5, 1, 6, 6, 4, 3, 4, 8, 5, 5, 5, 6, 4, 4, 6, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 6, 3, 3, 5, 5, 3, 2, 4, 4, 4, 5, 3, 3, 5, 3, 3, 7, 4, 7, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 5, 6, 3, 3, 4, 4, 4, 2, 3, 5, 6, 3, 5, 5, 3, 4, 5, 5, 4, 4, 2, 1, 3, 4, 5, 4, 5, 4, 4, 3, 4, 1, 4, 4, 4, 6, 3, 6, 5, 4, 4, 4, 4, 6, 1, 3, 6, 3, 5, 4, 3, 3, 3, 4, 7, 4, 1, 2, 7, 5, 4, 6, 6, 4, 4, 4, 6, 2, 5, 2, 4, 7, 5, 8, 6, 3, 5, 3, 5, 4, 5, 4, 5, 6, 1, 7, 4, 5, 4, 4, 5, 6, 6, 5, 6, 4, -1 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 6, 3, 7, 5, 5, 4, 4, 6, 5, 4, 3, 4, 3, 5, 8, 3, 2, 8, 4, 3, 4, 4, 3, 3, 6, 7, 5, 4, 3, 1, 1, 3, 4, 3, 7, 6, 5, 3, 7, 3, 4, 3, 4, 5, 3, 3, 5, 7, 4, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 3, 4, 6, 3, 3, 5, 3, 5, 3, 5, 5, 4, 6, 5, 3, 4, 3, 4, 2, 3, 5, 5, 6, 5, 3, 4, 6, 0, 4, 3, 4, 5, 8, 6, 2, 6, 2, 5, 5, 5, 4, 2, 5, 6, 6, 6, 2, 5, 4, 6, 6, 4, 2, 6, 5, 8, 5, 4, 3, 5, 4, 5, 6, 5, 6, 3, 5, 3, 5, 4, 2, 2, 4, 3, 5, 3, 3, 6, 5, 7, 7, 5, 3, 3, 2, 5, 5, 6, 3, 6, 4, 3, 4, 5, 5, 8, 3, 6, 3, 6, 6, 7, 4, 3, 4, 4, 2, 4, 3, 2, 3, 3, 4, 3, 7, 5, 5, 7, 4, 2, 2, 3, 4, 4, 4, 6, 4, 2, 5, 6, 5, 5, 3, 4, 7, 4, 5, 2, 4, 4, 6, 5, 4, 3, 1, 8, 5, 5, 3, 6, 5, 4, 4, 4, 5, 6, 2, 5, 5, 3, 5, 3, 6, 5, 8, 5, 5, 4, 6, 4, 3, 3, 4, 4, 6, 3, 3, 2, 5, 5, 6, 3, 3, 3, 4, 6, 7, 2, 4, 1, 5, 5, 3, 5, 5, 3, 3, 3, 4, 7, 3, 6, 4, 7, 3, 5, 6, 4, 7, 6, 5, 6, 4, 4, 5, 4, 4, 6, 6, 3, 5, 5, 3, 5, 3, 3, 6, 5, 3, 3, 5, 2, 5, 5, 1, 5, 5, 3, 5, 7, 4, 5, 3, 4, 5, 9, 1, 3, 7, 3, 5, 3, 4, 6, 4, 7, 3, 3, 3, 5, 6, 4, 7, 3, 4, 0, 5, 4, 5, 5, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 7, 6, 6, 3, 4, 4, 4, 5, 4, 3, 4, 6, 5, 5, 4, 5, 4, 5, 4, 7, 5, 2, 7, 5, 4, 5, 4, 4, 5, 6, 6, 2, 4, 4, 4, 5, 4, 6, 3, 3, 4, 4, 3, 5, 6, 5, 6, 2, 3, 4, 6, 3, 4, 4, 6, 4, 3, 4, 3, 4, 7, 6, 2, 2, 4, 5, 4, 4, 6, 6, 5, 5, 4, 3, 4, 5, 6, 7, 4, 6, 3, 5, 3, 6, 5, 4, 0, 4, 4, 2, 5, 5, 6, 6, 3, 8, 5, 6, 3, 4, 4, 6, 5, 6, 7, 3, 4, 4, 3, 5, 4, 4, 5, 7, 4, 3, 1, 4, 4, 6, 5, 4, 2, 1, 4, 4, 4, 3, 5, 2, 4, 5, 5, 4, 4, 4, 4, 5, 2, 3, 3, 5, 4, 5, 1 1, 2, 5, 5, 4, 7, 4, 5, 4, 4, 6, 4, 5, 4, 4, 4, 4, 5, 4, 2, 6, 4, 4, 3, 5, 4, 5, 6, 4, 5, 7, 5, 3, 4, 5, 5, 4, 1, 4, 5, 6, 2, 3, 3, 3, 6, 2, 4, 6, 3, 4, 3, 5, 4, 4, 2, 6, 5, 4, 3, 4, 3, 1, 5, 3, 3, 4, 6, 7, 5, 4, 5, 5, 3, 5, 2, 5, 2, 6, 5, 2, 4, 3, 5, 4, 5, 3, 5, 5, 4, 4, 6, 6, 1, 5, 7, 4, 5, 6, 4, 5, 5, 3, 4, 5, 5, 5, 7, 4, 3, 5, 5, 5, 6, 2, 3, 3, 2, 5, 5, 3, 4, 2, 4, 5, 4, 5, 4, 6, 3, 3, 4, 5, 3, 6, 4, 4, 3, 3, 4, 5, 4, 5, 1, 6, 6, 4, 8, 5, 4, 5, 6, 4, 3, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 5, 4, 5, 5, 3, 2, 6, 4, 4, 4, 5, 3, 5, 4, 4, 3, 5, 6, 4, 3, 5, 4, 6, 4, 6, 4, 5, 1, 3, 5, 6, 6, 6, 4, 5, 5, 5, 3, 3, 6, 4, 3, 3, 3, 2, 3, 5, 4, 8, 3, 6, 2, 3, 3, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 8, 7, 3, 4, 8, 6, 4, 5, 5, 3, 2, 3, 3, 7, 5, 5, 5, 4, 5, 4, 7, 5, 5, 5, 4, 6, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 7, 4, 3, 1, 3, 3, 3, 5, 3, 6, 5, 4, 5, 3, 4, 5, 3, 5, 3, 3, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 1, 6, 1, 6, 8, 8, 3, 2, 3, 6, 6, 3, 2, 4, 5, 7, 6, 5, 5, 5, 5, 6, 6, 4, 7, 4, 3, 6, 4, 7, 4, 5, 7, 0, 3, 4, 4, 5, 2, 7, 6, 3, 5, 4, 5, 3, 3, 5, 6, 2, 5, 0, 5, 4, 2, 3, 5, 6, 3, 3, 5, 4, 5, 5, 9, 7, 4, 5, 6, 4, 5, 3, 3, 4, 3, 5, 4, 4, 5, 5, 3, 7, 3, 7, 4, 3, 3, 3, 4, 4, 2, 5, 5, 5, 4, 4, 3, 1, 6, 0, 4, 6, 1, 3, 4, 3, 5, 6, 8, 3, 1, 3, 4, 2, 5, 4, 4, 5, 3, 7, 8, 4, 2, 5, 1, 2, 5, 2, 4, 9, 4, 7, 3, 2, 5, 6, 5, 4, 4, 4, 4, 4, 4, 3, 7, 6, 5, 4, 4, 4, 3, 5, 1, 5, 4, 6, 3, 3, 4, 4, 4, 3, 5, 3, 5, 4, 6, 5, 5, 5, 4, 3, 4, 3, 5, 2, 3, 4, 5, 2, 7, 5, 3, 6, 1, 7, 6, 6, 8, 5, 4, 7, 4, 4, 6, 3, 5, 5, 3, 5, 4, 3, 6, 6, 5, -1 5, 3, 5, 3, 2, 5, 6, 6, 3, 2, 6, 4, 5, 4, 5, 4, 8, 5, 3, 5, 4, 6, 6, 5, 4, 3, 1, 7, 7, 5, 4, 4, 6, 5, 4, 7, 4, 5, 7, 7, 5, 2, 5, 3, 5, 5, 4, 5, 3, 5, 7, 6, 4, 4, 6, 4, 4, 3, 2, 4, 4, 4, 3, 4, 6, 4, 6, 5, 7, 4, 4, 3, 4, 5, 4, 4, 5, 2, 4, 6, 3, 3, 2, 6, 3, 2, 5, 4, 3, 2, 4, 5, 4, 4, 4, 5, 2, 4, 5, 8, 3, 5, 4, 4, 6, 3, 5, 4, 5, 7, 3, 6, 5, 7, 4, 4, 3, 5, 3, 4, 6, 5, 5, 4, 5, 5, 1, 3, 3, 3, 3, 4, 2, 4, 5, 6, 4, 5, 2, 3, 4, 5, 5, 3, 5, 4, 5, 6, 2, 4, 6, 3, 4, 3, 7, 5, 4, 4, 9, 4, 3, 6, 7, 3, 3, 2, 4, 1, 3, 5, 5, 4, 3, 3, 4, 7, 6, 6, 3, 4, 3, 5, 8, 3, 5, 6, 5, 3, 5, 3, 7, 6, 4, 0, 4, 4, 2, 3, 2, 4, 4, 4, 4, 4, 1, 3, 6, 4, 1, 3, 6, 4, 5, 6, 6, 4, 2, 6, 5, 4, 2, 3, 5, 4, 3, 7, 4, 7, 3, 6, 4, 5, 7, 5, 4, 3, 5, 2, 6, 4, 6, 2, 6, 4, 4, 3, 4, 5, 1, 7, 8, 6, 4, 6, 3, 5, 1, 6, 4, 6, 4, 1, 4, 6, 4, 4, 7, 2, 4, 6, 5, 5, 6, 3, 2, 3, 4, 2, 7, 1, 6, 3, 4, 5, 6, 4, 4, 4, 3, 3, 5, 4, 6, 5, 5, 4, 4, 4, 5, 4, 5, 4, 7, 4, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 3, 2, 8, 3, 7, 3, 5, 4, 5, 3, 3, 3, 5, 5, 9, 6, 6, 3, 5, 2, 4, 4, 6, 3, 6, 4, 4, 4, 2, 5, 1, 5, 4, 5, 5, 1, 6, 6, 3, 2, 4, 6, 6, 7, 6, 5, 1, 6, 6, 5, 5, 5, 4, 6, 4, 5, 5, 6, 5, 3, 6, 3, 5, 4, 2, 1, 7, 1, 5, 5, 1, 2, 5, 4, 5, 3, 6, 6, 4, 5, 5, 4, 4, 6, 4, 4, 4, 5, 5, 3, 5, 3, 6, 5, 3, 4, 4, 4, 3, 4, 3, 4, 5, 5, 6, 2, 7, 4, 6, 4, 2, 6, 2, 3, 5, 4, 6, 4, 4, 3, 5, 2, 4, 5, 4, 7, 5, 5, 5, 5, 3, 4, 4, 2, 5, 6, 4, 6, 3, 4, 4, 6, 3, 5, 6, 4, 6, 6, 3, 5, 7, 4, 3, 4, 3, 0, 6, 5, 5, 3, 3, 2, 5, 5, 3, 6, 4, 4, 6, 6, 6, 5, 5, 3, 2, 5, 5, 5, 4, 3, 6, 4, 6, 7, 4, 5, -1 5, 2, 4, 5, 2, 4, 6, 5, 7, 3, 5, 4, 5, 5, 6, 6, 5, 6, 7, 5, 8, 6, 6, 5, 5, 4, 5, 4, 2, 6, 6, 6, 3, 3, 5, 7, 3, 6, 3, 5, 3, 4, 6, 4, 6, 6, 5, 4, 5, 3, 4, 4, 2, 4, 7, 4, 4, 4, 4, 3, 5, 7, 5, 6, 6, 3, 6, 5, 4, 7, 5, 6, 3, 3, 3, 5, 4, 3, 5, 2, 7, 5, 0, 3, 5, 5, 2, 4, 3, 4, 7, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 5, 4, 4, 2, 6, 4, 5, 3, 3, 6, 5, 3, 4, 2, 5, 4, 5, 3, 3, 5, 7, 4, 6, 3, 8, 7, 3, 8, 4, 3, 5, 4, 3, 4, 6, 5, 3, 5, 3, 2, 5, 3, 6, 4, 5, 3, 5, 4, 5, 5, 9, 2, 6, 2, 5, 5, 6, 9, 3, 5, 6, 5, 4, 3, 6, 4, 4, 5, 1, 6, 5, 4, 7, 4, 3, 6, 3, 4, 2, 3, 2, 5, 4, 6, 4, 5, 5, 7, 7, 4, 5, 2, 4, 4, 5, 4, 3, 5, 4, 5, 2, 7, 5, 4, 4, 5, 6, 4, 5, 5, 5, 6, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 5, 4, 5, 6, 5, 5, 5, 5, 5, 6, 4, 4, 4, 6, 5, 7, 5, 5, 5, 5, 4, 5, 3, 2, 4, 4, 4, 5, 5, 2, 2, 4, 3, 3, 6, 5, 6, 5, 5, 3, 2, 3, 2, 2, 3, 4, 3, 4, 3, 5, 5, 4, 6, 7, 6, 4, 2, 4, 5, 5, 4, 5, 2, 6, 4, 4, 3, 1, 5, 5, 5, 4, 5, 4, 6, 4, 5, 4, 5, 5, 5, 4, 9, 2, 5, 5, 5, 5, 3, 4, 5, 5, 3, 2, 4, 4, 4, 4, 5, 5, 3, 6, 7, 7, 3, 3, 7, 2, 4, 5, 5, 5, 4, 7, 4, 5, 5, 5, 6, 5, 5, 3, 3, 3, 5, 5, 5, 6, 4, 1, 6, 4, 4, 6, 4, 5, 6, 5, 2, 4, 4, 3, 3, 7, 4, 4, 4, 5, 2, 4, 7, 3, 6, 5, 6, 4, 3, 3, 7, 5, 3, 4, 2, 4, 4, 5, 5, 3, 5, 7, 3, 5, 3, 6, 3, 5, 4, 6, 7, 3, 6, 6, 4, 6, 8, 3, 1, 4, 5, 1, 3, 5, 4, 7, 5, 5, 4, 2, 4, 5, 3, 3, 3, 6, 6, 6, 1, 7, 2, 7, 7, 5, 2, 5, 6, 5, 5, 6, 3, 3, 5, 4, 3, 3, 5, 4, 2, 5, 2, 4, 8, 6, 4, 2, 1, 3, 5, 3, 2, 5, 3, 5, 2, 4, 5, 4, 3, 6, 4, 4, 5, 5, 7, 6, 4, 4, 7, 5, 3, 2, 3, 5, 6, 3, 1, 2, 6, 4, 2, 5, 4, 4, 2, 5, 5, -1 4, 3, 3, 4, 5, 2, 3, 5, 4, 4, 3, 5, 3, 6, 3, 4, 4, 4, 7, 6, 6, 5, 5, 4, 3, 6, 4, 5, 3, 2, 4, 5, 4, 8, 8, 7, 2, 5, 4, 1, 6, 5, 5, 2, 4, 3, 4, 8, 4, 4, 4, 5, 4, 3, 4, 4, 8, 4, 5, 5, 4, 3, 4, 2, 5, 5, 8, 5, 7, 4, 4, 7, 5, 7, 4, 3, 4, 4, 4, 6, 5, 4, 5, 7, 2, 5, 5, 5, 5, 6, 4, 5, 6, 2, 4, 3, 0, 3, 3, 6, 5, 5, 5, 4, 4, 4, 5, 3, 7, 4, 2, 5, 6, 4, 5, 6, 5, 5, 5, 5, 4, 4, 6, 5, 3, 6, 5, 6, 4, 4, 4, 4, 5, 8, 2, 4, 3, 6, 5, 3, 6, 3, 6, 4, 5, 7, 5, 4, 4, 4, 2, 4, 5, 4, 4, 5, 5, 7, 6, 4, 5, 3, 6, 5, 4, 0, 6, 6, 2, 5, 5, 6, 4, 7, 3, 7, 5, 5, 4, 4, 3, 3, 5, 6, 5, 5, 5, 4, 6, 5, 5, 4, 5, 5, 5, 4, 3, 3, 5, 2, 5, 6, 4, 3, 4, 5, 3, 4, 4, 4, 2, 5, 5, 5, 5, 2, 3, 3, 5, 3, 3, 5, 4, 4, 3, 3, 4, 5, 6, 5, 3, 4, 4, 6, 6, 6, 4, 5, 7, 5, 6, 2, 8, 2, 5, 4, 6, 4, 3, 3, 2, 6, 4, 4, 5, 4, 3, 2, 4, 3, 3, 4, 5, 4, 2, 3, 5, 3, 4, 4, 8, 5, 6, 6, 5, 6, 2, 6, 6, 8, 5, 4, 5, 1, 4, 2, 4, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 0, 5, 6, 5, 6, 3, 3, 3, 3, 5, 4, 4, 7, 6, 5, 6, 4, 1, 3, 4, 4, 3, 5, 3, 6, 7, 5, 4, 5, 5, 5, 5, 6, 5, 6, 2, 6, 2, 3, 5, 2, 7, 6, 2, 3, 3, 5, 4, 8, 6, 6, 4, 3, 4, 3, 4, 3, 6, 5, 4, 4, 7, 2, 4, 5, 4, 5, 4, 4, 5, 5, 7, 5, 6, 6, 4, 6, 6, 3, 5, 5, 4, 4, 3, 6, 5, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 0, 5, 4, 7, 5, 4, 0, 6, 5, 5, 7, 2, 5, 2, 5, 1, 5, 7, 0, 4, 3, 4, 2, 2, 3, 3, 8, 4, 2, 4, 6, 6, 5, 4, 3, 3, 5, 7, 5, 5, 6, 4, 8, 4, 2, 5, 6, 3, 6, 7, 5, 3, 5, 7, 7, 3, 4, 1, 6, 3, 4, 4, 5, 2, 4, 2, 5, 4, 3, 6, 2, 3, 8, 2, 3, 2, 4, 5, 3, 3, 3, 5, 4, 5, 4, 6, 9, 4, 4, 4, 6, 3, 3, 6, 8, 4, 5, 4, 6, 5, 1 4, 6, 4, 6, 3, 4, 4, 6, 4, 3, 6, 3, 6, 3, 5, 7, 6, 6, 5, 6, 7, 5, 5, 3, 5, 5, 4, 4, 7, 4, 5, 3, 3, 4, 4, 3, 1, 6, 3, 2, 4, 6, 4, 3, 4, 3, 6, 5, 1, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 5, 6, 2, 2, 2, 4, 5, 5, 6, 4, 4, 5, 5, 7, 6, 5, 6, 5, 3, 5, 6, 4, 5, 4, 5, 4, 5, 5, 4, 4, 2, 5, 3, 3, 6, 4, 6, 9, 4, 5, 5, 3, 3, 5, 4, 5, 7, 5, 2, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 6, 6, 5, 7, 9, 4, 3, 6, 4, 5, 4, 6, 4, 5, 5, 3, 6, 8, 2, 4, 4, 3, 4, 2, 3, 4, 5, 6, 6, 4, 2, 6, 5, 7, 3, 5, 3, 7, 4, 6, 7, 4, 5, 3, 4, 5, 4, 5, 4, 4, 3, 7, 9, 5, 4, 5, 6, 5, 3, 3, 7, 6, 2, 5, 5, 2, 4, 7, 4, 5, 3, 5, 3, 2, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 6, 1, 5, 3, 3, 6, 4, 6, 5, 5, 5, 5, 3, 5, 5, 4, 6, 4, 5, 4, 3, 7, 3, 6, 6, 4, 4, 5, 3, 3, 4, 9, 5, 3, 4, 4, 8, 4, 5, 3, 6, 6, 5, 6, 6, 3, 4, 5, 3, 3, 4, 5, 4, 4, 4, 5, 3, 5, 4, 5, 6, 3, 5, 5, 3, 0, 6, 4, 4, 6, 2, 5, 3, 4, 5, 6, 9, 4, 2, 4, 4, 6, 4, 5, 3, 5, 4, 3, 4, 5, 7, 3, 4, 6, 2, 8, 4, 6, 4, 3, 4, 5, 4, 5, 6, 6, 5, 5, 6, 4, 6, 3, 4, 4, 5, 7, 5, 4, 7, 4, 5, 7, 3, 4, 7, 6, 0, 5, 3, 4, 5, 5, 4, 2, 4, 4, 6, 6, 4, 3, 6, 4, 5, 8, 4, 2, 2, 3, 8, 4, 5, 3, 6, 4, 5, 5, 2, 4, 3, 5, 3, 5, 5, 5, 1, 5, 5, 6, 6, 6, 6, 3, 4, 3, 5, 1, 3, 2, 6, 4, 6, 2, 5, 7, 4, 5, 3, 4, 4, 2, 5, 4, 4, 5, 3, 5, 6, 7, 2, 7, 5, 5, 5, 6, 5, 4, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 7, 3, 6, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 7, 5, 1, 5, 5, 5, 4, 4, 5, 7, 3, 6, 5, 3, 5, 4, 6, 6, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 7, 3, 4, 5, 5, 7, 4, 5, 4, 5, 4, 4, 5, 2, 5, 4, 4, 4, 2, 5, 1, 5, 6, 4, 5, 3, 4, 6, 3, 5, 3, 4, 3, 6, 3, 4, 5, 1 2, 4, 3, 1, 4, 4, 4, 5, 3, 4, 5, 4, 6, 4, 5, 6, 5, 2, 7, 4, 5, 3, 3, 5, 6, 3, 5, 1, 5, 2, 5, 4, 4, 5, 6, 4, 4, 6, 3, 4, 4, 5, 4, 5, 5, 2, 9, 5, 4, 5, 4, 2, 2, 4, 3, 5, 4, 5, 4, 6, 6, 3, 6, 6, 4, 3, 5, 4, 4, 5, 3, 5, 4, 4, 4, 3, 6, 2, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 6, 7, 4, 5, 4, 6, 3, 2, 3, 4, 5, 2, 5, 5, 7, 4, 4, 5, 8, 5, 5, 5, 4, 5, 7, 3, 5, 3, 6, 2, 3, 3, 3, 5, 2, 3, 7, 5, 4, 8, 5, 5, 3, 5, 6, 5, 4, 3, 3, 4, 4, 4, 2, 3, 4, 4, 5, 8, 4, 5, 4, 5, 4, 3, 6, 5, 5, 4, 7, 6, 7, 4, 5, 6, 2, 3, 4, 4, 6, 4, 2, 4, 3, 4, 4, 6, 7, 5, 7, 7, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 6, 6, 6, 4, 1, 2, 4, 5, 3, 5, 5, 3, 6, 7, 1, 6, 5, 7, 3, 6, 2, 4, 4, 1, 3, 8, 5, 4, 4, 4, 3, 6, 5, 6, 5, 4, 3, 4, 7, 4, 8, 5, 6, 5, 4, 5, 3, 4, 5, 6, 6, 3, 4, 6, 5, 2, 7, 5, 4, 4, 4, 6, 2, 4, 3, 4, 6, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 2, 3, 7, 5, 3, 7, 4, 4, 4, 7, 4, 7, 5, 6, 6, 4, 5, 6, 3, 6, 4, 3, 7, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 6, 5, 6, 3, 4, 5, 3, 5, 5, 4, 6, 5, 3, 3, 6, 3, 6, 5, 3, 6, 5, 3, 7, 4, 6, 5, 4, 6, 3, 4, 5, 3, 5, 6, 4, 8, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 6, 2, 5, 3, 6, 4, 5, 3, 4, 6, 5, 5, 7, 2, 5, 5, 6, 6, 4, 5, 7, 5, 8, 6, 5, 5, 2, 4, 3, 7, 4, 3, 3, 4, 6, 4, 4, 4, 6, 4, 5, 6, 3, 5, 4, 3, 5, 6, 4, 5, 4, 5, 4, 2, 5, 4, 5, 1, 4, 9, 6, 5, 4, 3, 3, 3, 1, 3, 4, 3, 6, 4, 4, 1, 7, 4, 1, 7, 1, 5, 4, 3, 6, 5, 3, 6, 4, 4, 5, 4, 6, 6, 4, 6, 3, 5, 5, 5, 5, 3, 2, 5, 6, 5, 5, 5, 7, 5, 7, 5, 6, 4, 5, 5, 2, 6, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 6, 6, 5, 5, 6, 3, 6, 5, 5, 5, 6, 3, 7, 5, 4, 4, 6, 4, 5, 4, 6, 6, 4, 3, 5, 6, 1 3, 4, 4, 1, 5, 3, 5, 6, 6, 3, 7, 5, 5, 8, 5, 6, 6, 2, 5, 5, 5, 5, 9, 6, 5, 5, 0, 3, 5, 3, 4, 4, 3, 4, 5, 3, 5, 3, 6, 4, 4, 4, 4, 5, 3, 4, 3, 5, 6, 3, 4, 4, 3, 4, 5, 5, 4, 3, 4, 5, 5, 6, 1, 2, 6, 4, 7, 5, 4, 4, 5, 2, 7, 3, 4, 6, 3, 4, 4, 3, 4, 4, 2, 4, 4, 5, 5, 2, 4, 4, 4, 4, 1, 4, 5, 3, 7, 4, 8, 4, 4, 5, 4, 5, 3, 5, 5, 6, 4, 3, 6, 2, 6, 5, 5, 3, 6, 5, 5, 7, 1, 4, 3, 5, 3, 4, 5, 6, 5, 5, 4, 4, 5, 3, 5, 3, 4, 8, 3, 3, 1, 5, 5, 2, 4, 5, 6, 3, 4, 7, 4, 4, 4, 7, 7, 4, 4, 3, 4, 4, 5, 2, 4, 5, 4, 3, 7, 4, 6, 7, 7, 2, 4, 6, 4, 5, 5, 6, 4, 3, 5, 6, 3, 3, 4, 5, 3, 3, 5, 4, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 6, 5, 3, 4, 6, 2, 5, 2, 6, 2, 4, 5, 5, 3, 1, 4, 2, 5, 5, 2, 4, 2, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 9, 5, 4, 5, 3, 6, 4, 5, 4, 5, 4, 6, 6, 3, 6, 4, 4, 7, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 4, 5, 1, 4, 1, 5, 5, 4, 1, 4, 4, 3, 6, 6, 5, 2, 4, 4, 3, 3, 7, 5, 1, 4, 3, 5, 5, 5, 3, 4, 7, 1, 4, 3, 4, 5, 4, 6, 3, 5, 3, 7, 6, 4, 9, 2, 4, 6, 4, 4, 2, 0, 9, 7, 5, 8, 5, 5, 7, 6, 7, 5, 4, 7, 1, 6, 2, 6, 3, 6, 1, 4, 5, 6, 4, 6, 2, 3, 5, 8, 6, 2, 5, 5, 4, 5, 4, 4, 6, 4, 4, 3, 5, 4, 7, 6, 3, 3, 6, 4, 5, 6, 5, 5, 5, 5, 3, 3, 5, 5, 5, 2, 3, 3, 5, 3, 4, 5, 4, 4, 5, 6, 6, 3, 3, 2, 3, 7, 7, 3, 6, 5, 4, 4, 5, 7, 5, 3, 4, 4, 5, 5, 3, 5, 4, 2, 5, 5, 6, 4, 2, 5, 6, 3, 3, 3, 4, 2, 5, 5, 6, 1, 7, 6, 6, 5, 4, 6, 3, 7, 4, 3, 7, 8, 4, 7, 6, 6, 4, 5, 5, 3, 3, 1, 5, 6, 6, 4, 7, 2, 4, 5, 6, 3, 6, 3, 7, 5, 7, 4, 3, 4, 3, 5, 3, 5, 3, 4, 4, 2, 5, 3, 6, 6, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 8, 4, 4, 5, 6, 5, 5, 5, 5, 6, 1 5, 3, 5, 6, 4, 6, 4, 5, 4, 5, 4, 3, 5, 5, 3, 4, 6, 5, 4, 3, 8, 3, 4, 7, 5, 4, 5, 5, 7, 3, 5, 3, 5, 5, 6, 7, 5, 3, 3, 2, 1, 4, 2, 6, 6, 3, 4, 5, 8, 5, 5, 3, 3, 4, 5, 6, 4, 4, 1, 4, 5, 2, 7, 3, 5, 2, 6, 6, 3, 4, 2, 4, 5, 3, 5, 5, 1, 1, 6, 2, 3, 1, 5, 3, 4, 4, 2, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 2, 4, 5, 6, 4, 4, 5, 6, 7, 6, 4, 9, 7, 4, 2, 5, 3, 5, 4, 6, 4, 5, 7, 6, 4, 6, 5, 2, 7, 6, 6, 8, 2, 5, 3, 7, 6, 5, 3, 5, 4, 6, 6, 3, 5, 6, 3, 2, 5, 6, 5, 7, 5, 6, 4, 6, 6, 6, 5, 3, 5, 4, 6, 4, 5, 3, 4, 2, 6, 6, 4, 3, 8, 7, 4, 4, 6, 5, 8, 7, 6, 4, 3, 5, 2, 2, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 6, 5, 2, 7, 6, 3, 4, 5, 0, 6, 3, 3, 3, 4, 5, 6, 5, 6, 5, 4, 3, 5, 6, 4, 2, 4, 6, 3, 3, 2, 3, 4, 5, 4, 6, 5, 4, 2, 2, 4, 2, 6, 5, 6, 5, 8, 5, 4, 4, 5, 4, 4, 7, 5, 3, 5, 4, 6, 3, 4, 3, 6, 5, 5, 4, 4, 4, 5, 3, 3, 4, 5, 3, 3, 2, 5, 5, 6, 5, 5, 3, 5, 2, 2, 7, 4, 4, 6, 4, 5, 5, 6, 6, 6, 4, 6, 5, 4, 6, 6, 4, 4, 3, 5, 5, 5, 4, 6, 4, 2, 5, 4, 4, 7, 5, 7, 6, 2, 4, 5, 7, 5, 6, 4, 7, 7, 3, 5, 5, 4, 5, 5, 5, 5, 7, 6, 8, 4, 4, 5, 5, 4, 5, 5, 3, 5, 5, 8, 3, 6, 3, 3, 4, 4, 6, 4, 4, 5, 5, 5, 3, 3, 7, 3, 5, 6, 6, 4, 5, 4, 4, 3, 5, 2, 4, 4, 6, 4, 5, 5, 3, 4, 2, 5, 7, 3, 3, 6, 4, 5, 3, 3, 6, 4, 6, 2, 5, 5, 4, 4, 3, 6, 6, 5, 3, 3, 4, 7, 4, 4, 5, 4, 5, 4, 3, 7, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 6, 7, 4, 6, 3, 2, 4, 7, 6, 1, 2, 5, 4, 5, 5, 5, 5, 3, 6, 6, 9, 5, 4, 8, 5, 5, 7, 4, 7, 4, 3, 3, 3, 6, 5, 4, 7, 5, 6, 5, 5, 7, 5, 4, 5, 5, 4, 3, 4, 5, 3, 7, 2, 3, 3, 7, 5, 5, 7, 4, 5, 2, 4, 3, 6, 3, 7, 5, 7, 3, 4, 4, 5, 3, 3, -1 2, 6, 6, 2, 4, 5, 4, 3, 4, 3, 3, 1, 5, 6, 8, 4, 4, 6, 5, 8, 6, 4, 7, 4, 5, 5, 5, 6, 5, 7, 4, 2, 3, 4, 6, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 6, 5, 5, 7, 4, 2, 2, 3, 4, 7, 5, 3, 3, 3, 7, 5, 3, 7, 5, 4, 6, 5, 4, 5, 4, 4, 7, 3, 6, 4, 6, 6, 6, 6, 3, 3, 4, 3, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 2, 3, 4, 3, 8, 3, 5, 4, 3, 4, 6, 7, 2, 5, 3, 1, 6, 3, 5, 6, 3, 4, 4, 2, 6, 6, 5, 5, 6, 3, 5, 7, 4, 3, 5, 1, 5, 1, 5, 4, 4, 6, 4, 0, 7, 5, 6, 4, 6, 4, 6, 4, 2, 6, 7, 4, 4, 5, 6, 4, 6, 6, 5, 1, 3, 1, 6, 7, 4, 4, 4, 5, 4, 6, 4, 3, 5, 6, 2, 3, 5, 3, 6, 6, 5, 1, 3, 4, 5, 2, 4, 3, 6, 6, 6, 2, 5, 3, 1, 7, 4, 4, 5, 2, 2, 3, 1, 3, 2, 4, 4, 5, 6, 4, 4, 4, 3, 5, 4, 6, 5, 4, 3, 6, 2, 6, 6, 6, 3, 4, 7, 3, 4, 5, 6, 4, 3, 6, 4, 4, 5, 7, 3, 2, 8, 3, 7, 5, 5, 6, 3, 4, 4, 3, 4, 4, 6, 4, 6, 3, 3, 3, 5, 3, 6, 4, 6, 6, 3, 6, 4, 2, 3, 3, 5, 5, 5, 5, 4, 4, 2, 4, 5, 2, 5, 6, 4, 4, 4, 7, 7, 5, 4, 4, 7, 3, 2, 4, 5, 4, 4, 4, 5, 4, 7, 5, 5, 5, 6, 8, 5, 6, 3, 6, 8, 5, 5, 6, 3, 4, 5, 7, 5, 4, 6, 7, 5, 5, 2, 5, 6, 6, 4, 6, 4, 4, 5, 2, 3, 4, 7, 6, 5, 4, 4, 6, 7, 6, 6, 5, 2, 5, 4, 4, 5, 7, 5, 4, 5, 4, 6, 4, 5, 4, 4, 8, 4, 3, 5, 4, 4, 4, 5, 5, 6, 3, 3, 6, 5, 4, 5, 7, 5, 4, 4, 5, 1, 3, 4, 3, 2, 4, 5, 2, 4, 4, 0, 7, 2, 4, 1, 6, 4, 5, 7, 6, 4, 4, 7, 3, 6, 7, 3, 6, 4, 4, 4, 4, 6, 3, 6, 6, 4, 2, 3, 5, 5, 7, 5, 7, 4, 3, 4, 3, 3, 4, 3, 6, 5, 4, 3, 4, 0, 4, 3, 4, 4, 2, 4, 4, 4, 2, 5, 7, 6, 4, 4, 5, 6, 7, 3, 5, 2, 5, 3, 3, 3, 5, 5, 3, 4, 4, 3, 5, 1, 5, 4, 5, 3, 3, 4, 6, 2, 3, 5, 4, 6, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 2, 4, 5, -1 3, 5, 3, 6, 4, 4, 6, 7, 6, 5, 3, 2, 5, 4, 5, 4, 2, 4, 3, 7, 6, 4, 7, 7, 4, 7, 3, 4, 3, 4, 5, 6, 4, 2, 4, 6, 5, 4, 4, 2, 3, 7, 2, 6, 2, 4, 4, 7, 6, 1, 6, 2, 6, 1, 6, 6, 3, 3, 3, 3, 6, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 6, 4, 3, 6, 4, 1, 1, 4, 3, 4, 4, 3, 4, 8, 2, 4, 2, 4, 1, 4, 6, 4, 3, 2, 3, 6, 5, 4, 6, 4, 4, 3, 5, 5, 4, 5, 5, 4, 4, 8, 6, 4, 4, 6, 4, 4, 4, 6, 4, 4, 3, 5, 4, 3, 6, 5, 4, 6, 4, 7, 6, 5, 4, 3, 4, 6, 4, 5, 4, 2, 5, 3, 4, 6, 2, 5, 5, 6, 5, 6, 3, 5, 4, 4, 4, 2, 5, 5, 3, 3, 4, 3, 1, 6, 5, 3, 5, 4, 5, 2, 6, 4, 8, 3, 5, 9, 2, 5, 6, 4, 4, 7, 6, 5, 6, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 5, 4, 6, 4, 3, 4, 4, 3, 4, 2, 4, 3, 5, 1, 7, 4, 3, 5, 4, 6, 4, 6, 5, 1, 5, 5, 2, 7, 2, 4, 6, 5, 3, 4, 3, 7, 6, 5, 5, 3, 4, 4, 3, 4, 5, 3, 4, 4, 5, 6, 5, 1, 5, 3, 4, 3, 3, 4, 7, 7, 3, 4, 3, 2, 4, 4, 5, 2, 4, 3, 5, 5, 6, 5, 4, 5, 4, 4, 6, 6, 5, 4, 3, 5, 4, 6, 2, 5, 4, 4, 4, 5, 5, 3, 7, 6, 3, 4, 5, 4, 5, 2, 4, 2, 6, 5, 8, 4, 6, 3, 5, 7, 6, 2, 6, 3, 4, 5, 5, 3, 3, 3, 4, 5, 6, 3, 5, 5, 5, 5, 0, 5, 7, 4, 2, 4, 6, 4, 5, 6, 4, 6, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 2, 5, 4, 4, 5, 1, 4, 5, 3, 5, 5, 4, 5, 3, 4, 4, 6, 5, 6, 7, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 6, 5, 4, 6, 5, 5, 2, 4, 2, 5, 3, 3, 4, 4, 4, 4, 5, 4, 7, 5, 6, 6, 5, 5, 5, 4, 5, 2, 6, 4, 5, 2, 8, 4, 5, 5, 4, 4, 2, 1, 6, 6, 5, 4, 4, 6, 5, 3, 6, 3, 4, 1, 5, 8, 6, 5, 7, 6, 4, 4, 4, 5, 5, 5, 3, 3, 3, 6, 4, 3, 4, 3, 5, 4, 5, 6, 1, 1, 2, 6, 6, 4, 5, 3, 4, 5, 8, 5, 5, 3, 5, 7, 2, 3, 2, 3, 6, 4, 4, 5, 2, 4, 3, 5, 2, 4, 5, 5, 6, 5, 5, 4, 5, 5, -1 3, 4, 5, 3, 2, 4, 3, 5, 2, 6, 6, 4, 6, 3, 4, 2, 5, 7, 3, 6, 6, 3, 3, 4, 5, 4, 3, 5, 4, 2, 8, 4, 7, 4, 4, 0, 6, 5, 5, 4, 4, 4, 2, 4, 4, 6, 4, 4, 4, 4, 3, 4, 6, 4, 4, 4, 5, 3, 3, 5, 7, 4, 4, 1, 6, 4, 6, 4, 7, 6, 4, 6, 4, 4, 4, 7, 4, 5, 6, 4, 3, 5, 4, 7, 7, 4, 3, 4, 5, 4, 4, 3, 3, 5, 3, 4, 5, 6, 5, 4, 4, 6, 3, 3, 5, 3, 6, 3, 5, 5, 4, 1, 5, 4, 4, 4, 5, 6, 3, 4, 6, 5, 4, 4, 4, 4, 4, 3, 4, 7, 7, 4, 6, 6, 4, 4, 4, 5, 6, 6, 7, 4, 5, 4, 3, 3, 3, 3, 3, 5, 6, 6, 6, 3, 5, 9, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 5, 7, 6, 2, 4, 5, 5, 6, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 4, 2, 3, 5, 3, 3, 8, 6, 4, 6, 3, 5, 6, 7, 5, 4, 5, 4, 7, 5, 6, 5, 5, 4, 5, 2, 4, 5, 5, 5, 4, 1, 5, 6, 6, 5, 4, 4, 5, 3, 3, 2, 2, 2, 4, 7, 0, 5, 4, 3, 3, 3, 4, 8, 3, 5, 2, 2, 6, 4, 6, 3, 6, 8, 5, 4, 3, 3, 1, 5, 2, 4, 4, 3, 4, 3, 4, 2, 5, 7, 3, 6, 4, 2, 3, 4, 4, 6, 4, 3, 3, 4, 2, 6, 5, 7, 4, 5, 4, 6, 5, 2, 2, 5, 2, 5, 2, 5, 5, 5, 7, 7, 5, 4, 5, 4, 5, 6, 4, 4, 3, 2, 4, 3, 1, 8, 5, 4, 2, 5, 2, 5, 4, 5, 3, 6, 5, 4, 4, 8, 5, 4, 4, 1, 1, 5, 5, 7, 5, 3, 5, 4, 2, 1, 4, 2, 5, 3, 3, 6, 4, 5, 6, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 2, 5, 4, 4, 3, 4, 3, 8, 4, 6, 3, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 6, 4, 4, 4, 7, 3, 1, 1, 2, 5, 6, 6, 3, 6, 5, 3, 7, 5, 2, 3, 3, 5, 5, 4, 3, 5, 2, 3, 6, 3, 5, 5, 6, 4, 1, 3, 7, 3, 3, 4, 6, 7, 4, 6, 5, 2, 3, 5, 3, 3, 4, 4, 3, 2, 5, 6, 2, 3, 2, 3, 5, 7, 4, 5, 3, 4, 5, 3, 5, 3, 4, 6, 5, 7, 4, 3, 3, 5, 5, 3, 5, 3, 5, 6, 4, 7, 2, 3, 3, 6, 7, 2, 4, 4, 2, 5, 3, 3, 4, 7, 5, 2, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 1 4, 5, 5, 4, 6, 5, 7, 6, 6, 3, 2, 5, 5, 6, 4, 4, 6, 6, 6, 5, 7, 5, 4, 4, 3, 3, 3, 5, 4, 2, 4, 5, 3, 5, 5, 5, 6, 4, 5, 2, 6, 4, 4, 7, 2, 3, 5, 4, 5, 2, 4, 7, 4, 3, 3, 4, 3, 5, 6, 3, 3, 5, 4, 4, 3, 5, 4, 4, 4, 6, 4, 6, 5, 2, 5, 4, 2, 2, 8, 1, 3, 4, 1, 5, 6, 5, 6, 3, 5, 5, 4, 3, 4, 4, 4, 2, 1, 2, 8, 4, 3, 4, 4, 6, 5, 6, 3, 5, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 3, 5, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 8, 5, 5, 6, 3, 6, 4, 5, 6, 3, 2, 4, 4, 6, 3, 6, 8, 1, 4, 1, 0, 2, 3, 6, 8, 2, 6, 6, 4, 7, 5, 3, 7, 3, 4, 5, 3, 3, 4, 4, 1, 5, 3, 3, 5, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 7, 5, 5, 3, 4, 6, 5, 5, 6, 6, 6, 2, 5, 7, 5, 5, 4, 4, 6, 6, 8, 6, 7, 3, 5, 5, 1, 5, 4, 6, 7, 3, 4, 3, 5, 7, 4, 5, 6, 5, 6, 5, 6, 3, 4, 5, 6, 5, 4, 4, 5, 7, 4, 4, 6, 4, 2, 3, 6, 4, 4, 5, 3, 8, 4, 6, 4, 5, 5, 4, 3, 4, 4, 7, 4, 4, 3, 7, 5, 6, 0, 3, 4, 2, 5, 5, 4, 5, 1, 5, 4, 2, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 6, 1, 5, 7, 4, 4, 1, 5, 5, 4, 5, 3, 4, 6, 4, 6, 3, 4, 3, 6, 5, 3, 8, 6, 3, 5, 3, 5, 4, 5, 4, 5, 2, 4, 4, 3, 5, 4, 4, 8, 4, 4, 6, 4, 5, 6, 3, 4, 3, 4, 6, 7, 4, 5, 6, 5, 3, 6, 4, 4, 7, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 7, 3, 5, 2, 4, 6, 5, 3, 8, 1, 5, 5, 6, 4, 3, 5, 4, 6, 5, 4, 2, 3, 4, 6, 6, 3, 4, 5, 6, 5, 7, 4, 5, 7, 6, 6, 2, 7, 6, 1, 7, 2, 4, 4, 5, 5, 2, 3, 4, 4, 5, 4, 2, 3, 7, 4, 5, 4, 3, 3, 4, 4, 6, 6, 6, 6, 1, 5, 4, 6, 5, 6, 3, 5, 4, 3, 5, 5, 8, 4, 4, 5, 3, 3, 4, 3, 6, 5, 6, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 2, 5, 6, 6, 3, 3, 6, 4, 6, 4, 7, 1, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 7, 3, -1 6, 4, 4, 3, 3, 3, 4, 4, 6, 5, 5, 5, 5, 4, 6, 6, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 6, 3, 6, 6, 6, 4, 5, 8, 4, 4, 0, 6, 2, 7, 4, 2, 6, 4, 7, 4, 4, 6, 4, 4, 4, 6, 5, 5, 6, 5, 7, 5, 3, 6, 6, 5, 4, 7, 2, 4, 4, 3, 2, 5, 7, 3, 6, 4, 5, 6, 7, 3, 6, 5, 3, 4, 8, 4, 7, 7, 5, 6, 5, 4, 7, 5, 5, 4, 4, 3, 4, 6, 1, 3, 7, 4, 4, 3, 3, 5, 2, 3, 6, 4, 3, 5, 4, 3, 5, 5, 2, 5, 3, 4, 6, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 7, 2, 2, 6, 3, 5, 3, 3, 3, 5, 5, 5, 7, 5, 7, 7, 3, 3, 4, 5, 5, 4, 5, 7, 5, 4, 4, 3, 2, 5, 2, 5, 3, 2, 4, 5, 7, 2, 5, 4, 3, 6, 4, 6, 3, 8, 3, 4, 5, 3, 5, 5, 3, 7, 5, 4, 7, 4, 8, 2, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 8, 4, 2, 4, 3, 6, 1, 4, 6, 5, 6, 4, 6, 3, 5, 4, 1, 5, 6, 6, 2, 5, 7, 5, 4, 5, 4, 6, 3, 5, 2, 4, 4, 4, 7, 7, 6, 5, 4, 4, 5, 5, 1, 5, 6, 4, 5, 5, 6, 5, 6, 6, 5, 4, 5, 6, 6, 3, 5, 5, 7, 3, 4, 6, 2, 3, 5, 3, 7, 5, 4, 1, 6, 5, 4, 1, 5, 6, 3, 4, 6, 3, 5, 4, 5, 3, 5, 4, 7, 4, 4, 3, 7, 3, 4, 3, 7, 3, 3, 1, 6, 5, 2, 5, 3, 4, 3, 8, 7, 3, 5, 5, 5, 3, 4, 4, 3, 7, 5, 6, 4, 5, 5, 3, 5, 7, 2, 6, 6, 8, 4, 5, 4, 5, 6, 4, 6, 4, 2, 4, 5, 6, 4, 3, 6, 6, 3, 5, 4, 3, 3, 5, 5, 7, 6, 3, 5, 5, 4, 5, 5, 3, 6, 4, 5, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 3, 7, 4, 3, 5, 1, 4, 5, 3, 5, 3, 5, 4, 3, 3, 4, 5, 6, 5, 7, 3, 6, 3, 7, 3, 7, 3, 5, 6, 3, 4, 4, 4, 5, 3, 4, 2, 3, 1, 3, 2, 5, 3, 2, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5, 7, 4, 4, 2, 3, 6, 5, 5, 5, 6, 6, 4, 6, 6, 4, 3, 5, 4, 2, 7, 4, 3, 4, 4, 6, 5, 3, 4, 4, 5, 3, 3, 7, 2, 6, 2, 5, 5, 6, 4, 4, 3, 5, 5, 5, 4, 5, 6, 4, 4, 1, 5, 2, 4, 4, 7, 7, 3, 0, 4, 5, 3, 4, 4, -1 3, 4, 7, 4, 3, 5, 6, 5, 5, 4, 8, 4, 3, 5, 4, 3, 7, 4, 7, 6, 6, 5, 5, 5, 5, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 6, 2, 5, 4, 4, 3, 3, 6, 5, 3, 4, 2, 5, 4, 5, 7, 4, 5, 1, 4, 6, 6, 6, 4, 6, 4, 4, 5, 4, 2, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 5, 3, 5, 3, 8, 4, 4, 2, 4, 5, 5, 9, 4, 4, 5, 7, 6, 5, 7, 4, 5, 4, 6, 5, 5, 3, 5, 3, 4, 4, 6, 6, 2, 6, 4, 4, 7, 7, 7, 6, 5, 4, 2, 7, 5, 3, 4, 4, 2, 6, 3, 4, 4, 7, 6, 3, 3, 4, 5, 3, 1, 7, 4, 4, 3, 5, 4, 5, 3, 2, 5, 7, 6, 4, 7, 7, 6, 5, 6, 6, 4, 8, 7, 5, 3, 5, 3, 3, 4, 1, 3, 5, 6, 2, 4, 7, 6, 2, 6, 5, 5, 7, 5, 5, 5, 5, 4, 3, 4, 3, 5, 5, 4, 5, 6, 4, 3, 6, 4, 4, 6, 7, 5, 5, 4, 5, 4, 0, 5, 5, 2, 4, 8, 3, 2, 5, 7, 2, 4, 4, 6, 8, 6, 2, 5, 3, 2, 5, 2, 3, 5, 4, 3, 6, 5, 7, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 8, 4, 3, 5, 6, 5, 6, 5, 5, 4, 6, 4, 4, 5, 4, 6, 3, 7, 3, 6, 4, 5, 3, 4, 6, 3, 6, 3, 3, 6, 4, 4, 2, 4, 3, 2, 4, 5, 5, 4, 6, 7, 3, 5, 5, 6, 4, 2, 3, 6, 4, 5, 7, 4, 5, 5, 5, 4, 5, 5, 5, 4, 6, 5, 8, 6, 3, 5, 5, 6, 4, 3, 2, 3, 6, 7, 3, 3, 7, 5, 8, 6, 5, 7, 5, 5, 5, 4, 5, 4, 7, 7, 5, 4, 4, 1, 4, 2, 5, 2, 5, 4, 5, 4, 4, 4, 5, 7, 1, 1, 5, 6, 5, 4, 4, 4, 4, 3, 4, 5, 6, 5, 5, 5, 5, 7, 1, 5, 4, 4, 6, 5, 3, 2, 4, 4, 4, 4, 2, 3, 4, 3, 6, 6, 3, 3, 4, 7, 3, 6, 5, 3, 6, 2, 7, 2, 4, 6, 6, 6, 6, 6, 7, 5, 2, 7, 6, 4, 4, 3, 2, 7, 4, 7, 6, 3, 4, 5, 4, 6, 5, 5, 4, 3, 4, 4, 3, 6, 4, 4, 2, 7, 6, 6, 5, 2, 4, 4, 6, 9, 4, 4, 4, 4, 4, 4, 3, 3, 6, 4, 3, 4, 6, 4, 2, 4, 4, 3, 2, 3, 4, 1, 4, 4, 4, 3, 4, 4, 8, 2, 5, 4, 5, 6, 7, 5, 5, 6, 5, 4, 4, 5, 6, 1, 4, 5, 4, 5, 2, 6, 5, 4, 5, 4, 5, 4, 6, 4, 4, 1 3, 6, 6, 5, 3, 2, 3, 5, 6, 4, 5, 2, 3, 4, 4, 6, 6, 5, 3, 6, 6, 8, 3, 8, 3, 3, 6, 5, 3, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 2, 4, 2, 3, 4, 5, 4, 5, 3, 3, 6, 5, 5, 2, 4, 4, 5, 4, 6, 4, 6, 1, 2, 4, 2, 2, 5, 6, 5, 6, 4, 6, 4, 3, 3, 3, 4, 5, 3, 0, 6, 5, 5, 5, 8, 2, 5, 7, 5, 2, 4, 4, 4, 6, 5, 4, 5, 6, 5, 4, 1, 4, 4, 5, 3, 5, 6, 2, 5, 5, 4, 4, 6, 6, 5, 3, 3, 5, 4, 4, 4, 4, 3, 7, 4, 6, 6, 5, 5, 7, 3, 4, 5, 4, 5, 5, 3, 4, 3, 6, 3, 5, 6, 4, 5, 5, 2, 3, 2, 6, 4, 3, 6, 3, 4, 6, 4, 4, 3, 4, 4, 5, 4, 7, 5, 1, 6, 4, 3, 3, 4, 2, 3, 2, 6, 4, 5, 6, 6, 5, 5, 5, 7, 4, 5, 5, 5, 4, 3, 4, 7, 1, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 1, 6, 4, 3, 7, 7, 4, 5, 3, 5, 6, 3, 7, 5, 2, 6, 1, 4, 4, 6, 6, 4, 4, 5, 8, 4, 8, 4, 4, 3, 3, 5, 5, 4, 5, 3, 3, 5, 6, 7, 3, 6, 4, 4, 5, 6, 1, 3, 7, 6, 2, 4, 4, 4, 4, 2, 2, 6, 6, 3, 4, 5, 5, 9, 6, 4, 4, 4, 5, 4, 4, 1, 5, 7, 7, 5, 5, 4, 5, 3, 4, 4, 6, 4, 6, 6, 3, 7, 3, 5, 2, 6, 2, 4, 5, 3, 7, 7, 4, 8, 3, 5, 5, 5, 5, 4, 5, 5, 4, 6, 8, 4, 5, 5, 4, 2, 3, 5, 5, 3, 5, 5, 4, 3, 7, 4, 2, 4, 3, 5, 2, 6, 5, 3, 1, 5, 4, 5, 4, 5, 4, 2, 4, 7, 5, 4, 3, 5, 7, 2, 4, 6, 5, 7, 4, 8, 6, 4, 5, 4, 4, 1, 4, 5, 4, 3, 5, 1, 1, 6, 2, 5, 5, 5, 3, 3, 2, 3, 2, 3, 3, 5, 3, 7, 4, 4, 3, 6, 3, 6, 3, 4, 4, 4, 5, 4, 5, 3, 2, 4, 5, 5, 5, 3, 3, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 7, 4, 4, 4, 3, 4, 6, 6, 2, 4, 3, 4, 5, 9, 4, 4, 7, 4, 5, 5, 4, 4, 9, 2, 4, 5, 5, 4, 3, 4, 3, 2, 4, 4, 3, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 7, 5, 3, 5, 5, 4, 5, 8, 3, 6, 3, 5, 6, 3, 6, 6, 7, 4, 4, 6, 4, 6, 7, 2, 5, 3, 4, 4, 4, 6, 5, 5, -1 3, 2, 3, 5, 3, 4, 6, 5, 6, 4, 4, 3, 4, 6, 4, 3, 6, 4, 5, 4, 6, 3, 5, 4, 3, 4, 4, 5, 5, 4, 2, 5, 6, 3, 5, 4, 5, 4, 4, 3, 4, 2, 4, 4, 2, 4, 3, 5, 2, 3, 7, 4, 5, 3, 6, 5, 7, 6, 4, 3, 5, 3, 4, 4, 2, 3, 4, 4, 5, 4, 4, 7, 4, 3, 2, 6, 2, 4, 6, 5, 6, 2, 1, 4, 6, 7, 5, 6, 4, 4, 4, 5, 5, 4, 5, 3, 5, 6, 4, 7, 3, 6, 4, 7, 3, 5, 7, 6, 2, 4, 3, 4, 5, 2, 3, 6, 4, 3, 4, 2, 4, 4, 5, 2, 5, 4, 3, 6, 6, 4, 2, 5, 4, 5, 5, 5, 5, 3, 4, 3, 1, 3, 3, 4, 3, 4, 3, 5, 4, 4, 6, 6, 5, 4, 5, 7, 4, 5, 4, 5, 5, 3, 2, 5, 3, 5, 6, 3, 3, 3, 6, 2, 4, 4, 5, 6, 5, 3, 4, 5, 5, 5, 4, 2, 5, 1, 5, 4, 7, 5, 7, 2, 5, 6, 4, 6, 3, 4, 7, 0, 4, 3, 2, 6, 5, 6, 6, 5, 5, 6, 3, 4, 1, 4, 3, 7, 7, 3, 4, 5, 5, 5, 6, 3, 4, 5, 7, 5, 4, 4, 2, 2, 6, 4, 4, 3, 3, 4, 2, 3, 3, 6, 3, 4, 5, 6, 5, 4, 5, 4, 5, 6, 3, 3, 3, 3, 4, 2, 5, 6, 6, 2, 7, 3, 3, 4, 7, 5, 6, 3, 2, 5, 7, 2, 5, 5, 4, 3, 6, 3, 3, 4, 6, 6, 7, 6, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 2, 4, 2, 5, 4, 3, 2, 5, 4, 6, 2, 3, 5, 6, 6, 5, 5, 5, 6, 8, 4, 3, 6, 4, 6, 6, 4, 4, 5, 5, 4, 5, 5, 6, 2, 3, 3, 5, 5, 3, 6, 4, 5, 4, 6, 4, 6, 5, 3, 8, 6, 2, 5, 5, 4, 6, 5, 4, 4, 3, 5, 4, 3, 7, 4, 2, 3, 5, 3, 5, 4, 7, 3, 3, 4, 4, 2, 3, 5, 5, 3, 3, 6, 4, 6, 4, 4, 4, 5, 5, 2, 5, 3, 6, 3, 4, 6, 3, 5, 3, 4, 8, 5, 5, 3, 3, 5, 6, 3, 5, 3, 4, 7, 4, 3, 3, 4, 2, 3, 4, 4, 4, 4, 6, 5, 2, 3, 6, 4, 6, 8, 4, 5, 5, 4, 5, 3, 5, 6, 5, 5, 4, 4, 5, 4, 3, 8, 3, 6, 5, 5, 5, 4, 3, 8, 2, 5, 3, 5, 4, 5, 3, 4, 5, 6, 4, 6, 4, 3, 1, 5, 4, 4, 6, 6, 4, 4, 4, 5, 4, 6, 6, 6, 4, 3, 5, 5, 4, 5, 2, 4, 4, 7, 5, 4, 2, 6, 5, 1 8, 5, 4, 3, 6, 5, 6, 4, 5, 5, 2, 4, 6, 1, 3, 6, 6, 3, 3, 3, 5, 5, 5, 5, 2, 6, 6, 4, 3, 6, 5, 6, 4, 2, 7, 7, 3, 4, 2, 3, 4, 4, 5, 7, 3, 5, 5, 4, 6, 4, 4, 3, 4, 3, 3, 4, 5, 4, 2, 6, 5, 7, 5, 6, 4, 5, 3, 6, 2, 3, 5, 5, 3, 3, 4, 5, 4, 5, 5, 4, 0, 3, 6, 6, 2, 6, 5, 4, 5, 2, 4, 3, 4, 3, 3, 6, 6, 4, 3, 4, 4, 6, 4, 6, 6, 6, 6, 6, 3, 3, 7, 6, 6, 7, 4, 4, 4, 5, 7, 5, 3, 5, 3, 2, 2, 3, 3, 5, 6, 5, 5, 3, 4, 5, 6, 5, 4, 5, 3, 6, 4, 2, 7, 4, 4, 6, 5, 7, 6, 2, 5, 4, 5, 7, 5, 3, 6, 4, 3, 3, 4, 4, 6, 5, 3, 2, 8, 6, 3, 4, 5, 5, 6, 3, 7, 4, 4, 1, 5, 6, 5, 4, 3, 4, 3, 6, 8, 5, 5, 5, 4, 3, 3, 2, 6, 3, 3, 3, 7, 4, 7, 6, 4, 5, 5, 6, 4, 6, 3, 7, 4, 4, 4, 2, 4, 3, 1, 5, 4, 5, 1, 6, 2, 6, 6, 5, 4, 4, 8, 4, 4, 3, 5, 5, 1, 5, 5, 4, 4, 6, 6, 7, 3, 8, 3, 4, 5, 6, 4, 5, 2, 6, 2, 4, 3, 4, 3, 5, 6, 3, 5, 5, 4, 5, 5, 4, 6, 5, 5, 4, 5, 7, 8, 4, 3, 5, 4, 5, 4, 5, 5, 7, 5, 2, 5, 7, 4, 5, 4, 5, 3, 5, 6, 3, 3, 3, 3, 4, 7, 7, 4, 6, 4, 6, 7, 2, 3, 6, 2, 5, 3, 4, 3, 5, 5, 4, 7, 3, 3, 8, 6, 7, 2, 6, 5, 4, 4, 4, 5, 2, 4, 5, 4, 3, 3, 7, 3, 4, 2, 4, 2, 4, 5, 3, 4, 7, 4, 7, 3, 5, 4, 4, 6, 6, 4, 6, 3, 7, 5, 3, 4, 2, 7, 7, 5, 6, 4, 5, 5, 4, 3, 4, 6, 5, 2, 5, 6, 5, 6, 4, 4, 5, 4, 3, 3, 3, 3, 2, 5, 5, 4, 5, 2, 5, 5, 5, 4, 6, 6, 3, 6, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 2, 1, 6, 6, 3, 2, 3, 1, 4, 5, 3, 2, 5, 4, 5, 7, 4, 2, 4, 5, 5, 7, 5, 2, 6, 7, 2, 5, 4, 7, 4, 6, 3, 5, 4, 4, 6, 5, 3, 3, 5, 6, 1, 4, 4, 1, 2, 6, 2, 3, 2, 6, 4, 3, 4, 3, 6, 4, 6, 5, 4, 4, 3, 6, 2, 5, 5, 4, 6, 5, 4, 4, 4, 4, 6, 4, 5, 5, 6, 4, 5, 6, 4, 6, 6, 2, 4, 4, 1 4, 3, 5, 1, 6, 6, 6, 4, 3, 0, 4, 4, 4, 4, 6, 6, 4, 5, 3, 2, 4, 3, 6, 4, 6, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 6, 3, 7, 3, 1, 4, 7, 3, 4, 3, 4, 8, 6, 5, 6, 4, 1, 5, 7, 5, 3, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 7, 4, 5, 4, 4, 4, 5, 4, 4, 5, 2, 6, 4, 4, 4, 3, 1, 5, 4, 4, 3, 7, 1, 1, 8, 5, 8, 5, 3, 3, 5, 5, 1, 6, 3, 4, 5, 7, 4, 6, 5, 3, 5, 4, 5, 4, 5, 5, 2, 4, 3, 4, 3, 6, 6, 5, 3, 6, 8, 6, 4, 4, 4, 5, 5, 5, 4, 6, 7, 6, 6, 4, 4, 3, 4, 8, 4, 3, 7, 5, 7, 6, 6, 7, 3, 5, 0, 5, 4, 4, 7, 5, 5, 5, 6, 8, 4, 3, 5, 2, 6, 4, 7, 5, 3, 4, 7, 4, 4, 7, 4, 5, 4, 3, 4, 4, 5, 4, 4, 6, 4, 5, 3, 2, 5, 3, 5, 0, 6, 8, 2, 5, 7, 4, 4, 5, 3, 5, 6, 4, 6, 4, 6, 3, 2, 3, 4, 5, 2, 5, 5, 4, 5, 4, 3, 4, 4, 5, 3, 6, 6, 5, 4, 4, 7, 5, 2, 2, 4, 4, 4, 3, 3, 6, 5, 4, 2, 3, 7, 4, 3, 5, 7, 1, 5, 5, 5, 2, 5, 7, 4, 5, 4, 6, 3, 4, 4, 4, 5, 3, 4, 4, 5, 7, 3, 5, 4, 7, 3, 4, 4, 3, 2, 6, 2, 3, 4, 4, 3, 4, 3, 5, 4, 3, 5, 5, 6, 5, 4, 5, 6, 7, 5, 4, 8, 6, 5, 2, 4, 4, 7, 7, 3, 4, 3, 6, 4, 4, 4, 4, 6, 4, 6, 5, 2, 4, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5, 6, 4, 5, 6, 4, 2, 5, 3, 5, 3, 5, 5, 4, 5, 3, 5, 6, 4, 3, 4, 5, 6, 2, 5, 3, 4, 3, 5, 5, 5, 7, 2, 3, 3, 5, 8, 4, 5, 5, 4, 4, 5, 4, 6, 4, 5, 4, 5, 5, 3, 6, 7, 2, 4, 6, 6, 6, 5, 7, 1, 6, 5, 4, 4, 3, 4, 4, 6, 5, 3, 5, 3, 5, 4, 7, 5, 3, 3, 5, 1, 5, 5, 6, 5, 3, 2, 6, 4, 4, 4, 5, 6, 4, 5, 4, 5, 2, 3, 3, 2, 3, 5, 4, 2, 5, 4, 5, 8, 3, 3, 4, 3, 5, 4, 5, 3, 3, 6, 6, 4, 3, 7, 7, 0, 3, 6, 7, 4, 5, 7, 5, 4, 5, 4, 2, 6, 5, 7, 4, 6, 3, 7, 5, 4, 5, 7, 4, 4, 0, 6, 3, 4, 5, 2, 5, 4, 5, 5, 5, 5, 4, 6, 3, 4, 2, -1 0, 3, 5, 5, 5, 4, 3, 5, 4, 3, 6, 5, 5, 2, 5, 5, 3, 5, 4, 6, 4, 4, 4, 4, 4, 2, 5, 7, 1, 7, 8, 5, 6, 4, 7, 4, 3, 2, 4, 2, 6, 3, 6, 4, 5, 6, 6, 3, 4, 7, 5, 5, 3, 7, 4, 5, 6, 8, 6, 6, 5, 5, 7, 2, 6, 4, 1, 5, 2, 4, 4, 6, 5, 6, 5, 6, 6, 5, 2, 4, 4, 3, 1, 3, 3, 5, 5, 3, 3, 4, 4, 5, 5, 4, 3, 1, 7, 7, 5, 5, 4, 5, 5, 6, 3, 2, 6, 3, 5, 4, 4, 3, 4, 6, 6, 4, 5, 4, 5, 4, 3, 6, 4, 1, 6, 6, 5, 5, 3, 5, 4, 3, 2, 5, 6, 5, 5, 7, 3, 2, 4, 4, 5, 6, 4, 7, 3, 5, 6, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 5, 6, 2, 6, 5, 3, 5, 6, 5, 4, 4, 7, 3, 4, 2, 5, 2, 5, 6, 5, 6, 2, 4, 5, 4, 6, 7, 5, 5, 3, 3, 7, 4, 3, 4, 4, 4, 5, 7, 4, 6, 3, 1, 4, 4, 4, 5, 5, 5, 1, 3, 5, 6, 7, 3, 3, 4, 4, 0, 4, 3, 5, 5, 5, 5, 5, 5, 7, 7, 6, 7, 4, 3, 5, 6, 5, 5, 4, 7, 2, 6, 3, 4, 2, 8, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 2, 0, 4, 4, 7, 7, 5, 5, 6, 4, 1, 5, 4, 5, 4, 4, 4, 4, 6, 5, 5, 2, 4, 3, 4, 5, 7, 7, 2, 5, 5, 5, 7, 1, 2, 5, 7, 3, 4, 6, 5, 5, 6, 2, 5, 5, 4, 5, 4, 3, 6, 5, 3, 3, 4, 4, 2, 5, 4, 1, 5, 7, 4, 3, 5, 4, 6, 6, 3, 2, 5, 6, 5, 4, 4, 4, 3, 5, 5, 6, 6, 4, 5, 4, 4, 3, 6, 4, 6, 5, 4, 3, 4, 8, 5, 4, 8, 4, 3, 8, 1, 3, 4, 6, 3, 4, 7, 7, 3, 5, 4, 5, 4, 8, 4, 5, 2, 7, 5, 4, 7, 3, 6, 7, 4, 3, 5, 5, 3, 6, 5, 4, 5, 5, 4, 4, 6, 4, 5, 5, 3, 1, 4, 5, 5, 5, 2, 3, 7, 5, 5, 4, 4, 3, 4, 5, 4, 3, 6, 5, 4, 3, 3, 5, 2, 6, 4, 3, 5, 5, 4, 5, 3, 3, 4, 5, 6, 6, 1, 4, 5, 4, 6, 7, 6, 4, 5, 6, 4, 6, 5, 3, 1, 7, 5, 3, 6, 2, 4, 6, 4, 7, 5, 5, 5, 6, 4, 6, 5, 2, 4, 2, 5, 7, 4, 5, 3, 5, 2, 4, 5, 5, 2, 3, 3, 6, 4, 4, 5, 4, 5, 6, 4, 4, 4, 5, 5, 2, 2, 5, 6, -1 2, 4, 5, 2, 3, 6, 4, 6, 5, 6, 4, 2, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 2, 4, 2, 3, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 6, 3, 3, 4, 7, 3, 4, 6, 6, 2, 3, 6, 5, 4, 5, 5, 7, 6, 6, 4, 5, 7, 4, 6, 5, 4, 6, 4, 4, 6, 4, 6, 6, 3, 5, 4, 5, 5, 2, 7, 4, 5, 6, 5, 3, 4, 5, 6, 3, 5, 4, 3, 2, 4, 3, 4, 6, 3, 2, 6, 5, 6, 6, 4, 3, 2, 4, 3, 5, 6, 7, 3, 1, 5, 4, 5, 6, 6, 6, 3, 3, 5, 4, 6, 5, 6, 6, 4, 4, 5, 3, 6, 5, 1, 6, 5, 3, 2, 4, 6, 4, 6, 2, 4, 2, 3, 3, 5, 5, 5, 4, 6, 4, 6, 5, 3, 4, 5, 6, 5, 4, 5, 3, 3, 4, 6, 3, 3, 8, 3, 3, 4, 5, 5, 4, 1, 6, 4, 5, 7, 3, 3, 7, 5, 5, 5, 3, 4, 4, 3, 5, 6, 5, 5, 4, 3, 3, 3, 3, 5, 4, 4, 8, 5, 6, 5, 5, 5, 4, 3, 4, 9, 5, 4, 2, 7, 4, 5, 1, 4, 3, 5, 4, 4, 5, 3, 5, 4, 3, 1, 8, 5, 4, 4, 5, 6, 5, 4, 5, 4, 8, 4, 5, 3, 4, 7, 4, 0, 3, 5, 4, 8, 5, 5, 3, 4, 4, 4, 3, 6, 6, 6, 3, 5, 3, 5, 5, 2, 3, 5, 6, 3, 5, 6, 4, 3, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 6, 3, 7, 5, 4, 5, 5, 6, 4, 4, 3, 5, 3, 6, 6, 4, 5, 5, 5, 6, 5, 4, 5, 6, 6, 6, 3, 6, 4, 8, 6, 6, 2, 5, 4, 2, 5, 4, 3, 2, 2, 6, 4, 4, 6, 7, 5, 5, 7, 4, 7, 7, 4, 3, 3, 6, 3, 4, 5, 4, 4, 5, 5, 6, 2, 4, 6, 3, 4, 5, 3, 5, 5, 5, 4, 4, 5, 2, 6, 5, 3, 6, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 2, 3, 4, 6, 5, 5, 4, 5, 4, 4, 2, 3, 3, 5, 5, 5, 3, 5, 6, 2, 7, 9, 5, 2, 8, 3, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 3, 5, 6, 5, 4, 4, 4, 5, 2, 5, 4, 2, 5, 5, 4, 3, 7, 6, 4, 4, 3, 5, 6, 4, 7, 6, 5, 5, 4, 4, 5, 6, 4, 3, 4, 5, 5, 5, 4, 0, 6, 2, 5, 5, 5, 4, 6, 4, 7, 4, 6, 6, 3, 4, 6, 4, 4, 2, 3, 5, 5, 5, 3, 5, 3, 7, 5, 4, 2, 5, 3, 5, 3, 6, 4, 4, 7, 6, 4, 3, 2, 2, 1 4, 4, 5, 4, 4, 3, 5, 5, 6, 6, 2, 1, 6, 3, 6, 4, 6, 4, 6, 2, 6, 7, 6, 3, 5, 5, 5, 6, 5, 3, 4, 6, 0, 3, 4, 8, 4, 6, 4, 5, 4, 5, 2, 5, 3, 4, 4, 6, 6, 5, 3, 3, 5, 2, 5, 4, 6, 4, 5, 4, 4, 5, 6, 8, 3, 4, 5, 5, 3, 4, 2, 4, 4, 6, 4, 4, 3, 5, 3, 4, 4, 3, 6, 3, 6, 6, 2, 3, 4, 2, 4, 6, 5, 4, 3, 4, 6, 4, 5, 5, 5, 3, 5, 6, 3, 7, 8, 3, 4, 4, 5, 6, 5, 5, 4, 5, 5, 4, 4, 6, 2, 4, 5, 6, 6, 5, 7, 3, 7, 4, 3, 6, 4, 8, 2, 3, 6, 4, 3, 5, 5, 4, 4, 4, 4, 5, 3, 5, 6, 3, 6, 3, 5, 4, 5, 5, 5, 4, 4, 4, 3, 2, 4, 7, 4, 3, 5, 5, 2, 8, 5, 7, 6, 3, 5, 6, 5, 5, 0, 4, 4, 4, 3, 4, 8, 6, 5, 6, 6, 5, 6, 4, 1, 2, 7, 7, 4, 4, 5, 3, 4, 6, 4, 6, 4, 7, 3, 4, 5, 4, 2, 5, 5, 7, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 6, 5, 3, 4, 4, 3, 4, 2, 8, 4, 4, 4, 3, 3, 5, 2, 6, 6, 3, 7, 5, 3, 5, 3, 0, 8, 5, 3, 3, 4, 5, 3, 4, 6, 7, 2, 4, 3, 5, 4, 5, 5, 6, 3, 5, 3, 7, 4, 6, 4, 2, 5, 7, 7, 4, 2, 2, 4, 5, 3, 6, 7, 4, 5, 4, 5, 4, 5, 6, 6, 4, 4, 6, 3, 4, 4, 6, 6, 4, 6, 4, 7, 4, 4, 6, 8, 4, 4, 5, 3, 6, 4, 7, 3, 6, 4, 4, 3, 4, 3, 7, 6, 4, 5, 3, 3, 3, 4, 2, 1, 5, 4, 2, 5, 3, 3, 2, 7, 3, 6, 4, 1, 6, 3, 6, 4, 4, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 4, 4, 3, 3, 6, 6, 5, 3, 2, 5, 2, 7, 4, 4, 3, 2, 5, 6, 5, 5, 6, 4, 5, 4, 6, 1, 5, 5, 4, 6, 1, 5, 5, 5, 7, 1, 5, 8, 6, 5, 6, 4, 6, 3, 5, 6, 3, 4, 2, 2, 5, 6, 4, 3, 4, 5, 3, 5, 4, 4, 6, 5, 5, 5, 4, 6, 4, 7, 5, 4, 5, 2, 2, 4, 5, 4, 4, 6, 1, 4, 6, 6, 5, 5, 6, 2, 2, 5, 2, 4, 5, 4, 6, 7, 5, 2, 5, 5, 2, 5, 4, 4, 2, 4, 4, 2, 6, 0, 3, 6, 5, 6, 4, 6, 4, 4, 6, 4, 4, 4, 4, 5, 5, 6, 5, 6, 6, 3, 3, 7, 4, 1 2, 2, 7, 5, 2, 4, 7, 2, 6, 4, 5, 4, 3, 6, 5, 6, 5, 5, 3, 6, 5, 5, 8, 4, 3, 4, 5, 4, 6, 3, 7, 2, 5, 3, 6, 4, 4, 5, 4, 7, 8, 4, 5, 3, 7, 4, 4, 6, 7, 2, 4, 3, 5, 2, 5, 4, 6, 4, 3, 4, 5, 5, 7, 2, 8, 5, 4, 6, 2, 5, 4, 4, 5, 3, 5, 4, 6, 7, 5, 2, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 1, 4, 2, 4, 6, 3, 3, 4, 2, 4, 6, 5, 5, 6, 2, 5, 3, 5, 5, 3, 4, 4, 5, 6, 5, 4, 2, 4, 2, 5, 7, 6, 4, 4, 2, 4, 3, 5, 4, 4, 5, 5, 5, 3, 1, 7, 5, 7, 6, 3, 5, 7, 4, 5, 6, 5, 8, 3, 1, 3, 6, 5, 2, 4, 4, 5, 4, 7, 4, 3, 6, 3, 6, 3, 5, 5, 5, 4, 5, 7, 5, 4, 6, 2, 5, 4, 3, 3, 5, 6, 4, 4, 6, 6, 7, 4, 6, 6, 3, 4, 4, 4, 3, 6, 6, 4, 4, 4, 4, 3, 5, 2, 5, 4, 4, 5, 4, 5, 4, 5, 4, 1, 4, 6, 4, 6, 6, 3, 3, 5, 6, 5, 6, 7, 3, 3, 3, 3, 2, 1, 6, 4, 8, 5, 4, 3, 3, 2, 4, 3, 3, 5, 4, 3, 4, 4, 4, 3, 1, 4, 5, 4, 8, 5, 5, 2, 6, 4, 2, 6, 7, 4, 4, 5, 4, 4, 5, 2, 4, 5, 2, 2, 4, 3, 5, 3, 5, 4, 4, 4, 6, 0, 4, 4, 9, 6, 2, 3, 2, 8, 4, 6, 7, 3, 5, 2, 4, 4, 7, 4, 4, 3, 5, 7, 3, 8, 1, 4, 3, 5, 6, 5, 6, 5, 5, 6, 5, 5, 6, 6, 3, 7, 9, 7, 5, 4, 5, 3, 5, 7, 7, 4, 6, 6, 2, 6, 5, 0, 3, 3, 4, 5, 5, 4, 3, 5, 2, 4, 3, 5, 5, 4, 5, 4, 6, 5, 5, 5, 5, 6, 7, 4, 2, 4, 5, 5, 5, 6, 3, 4, 3, 5, 7, 6, 4, 3, 5, 5, 5, 3, 8, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 2, 3, 4, 4, 2, 5, 3, 3, 4, 7, 3, 6, 3, 3, 4, 3, 6, 3, 2, 7, 5, 3, 6, 5, 2, 4, 6, 4, 4, 4, 5, 5, 3, 5, 2, 3, 5, 4, 7, 1, 5, 4, 4, 5, 4, 5, 5, 6, 7, 1, 6, 2, 5, 6, 3, 3, 4, 7, 6, 3, 4, 4, 5, 5, 4, 3, 3, 5, 5, 4, 6, 3, 4, 7, 3, 4, 4, 3, 4, 5, 6, 6, 7, 4, 5, 3, 6, 4, 6, 5, 4, 3, 4, 4, 5, 3, 5, 6, 6, 8, 2, 4, 1 1, 2, 2, 3, 4, 4, 2, 5, 4, 4, 6, 4, 3, 0, 4, 7, 4, 3, 7, 6, 8, 8, 2, 6, 4, 4, 2, 4, 7, 4, 5, 7, 3, 2, 6, 5, 4, 3, 4, 4, 5, 3, 5, 8, 4, 5, 4, 5, 5, 4, 8, 4, 5, 4, 2, 2, 4, 3, 3, 4, 5, 5, 4, 3, 3, 7, 4, 4, 5, 5, 3, 5, 2, 4, 6, 5, 3, 5, 5, 2, 5, 3, 4, 5, 4, 2, 5, 4, 5, 5, 2, 5, 4, 4, 4, 4, 7, 5, 4, 5, 3, 5, 6, 6, 4, 5, 5, 3, 6, 4, 7, 5, 5, 4, 3, 4, 3, 3, 7, 4, 3, 4, 6, 2, 4, 5, 4, 5, 5, 4, 4, 4, 5, 8, 3, 4, 4, 5, 4, 3, 2, 5, 4, 6, 3, 5, 4, 3, 4, 4, 2, 5, 5, 2, 4, 1, 7, 3, 4, 2, 5, 3, 3, 5, 7, 2, 6, 2, 4, 6, 6, 5, 6, 4, 4, 6, 4, 5, 6, 6, 5, 3, 3, 4, 5, 7, 5, 4, 7, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 2, 3, 3, 6, 5, 2, 2, 3, 4, 5, 5, 4, 4, 6, 6, 6, 3, 4, 7, 4, 4, 5, 4, 2, 5, 6, 6, 5, 5, 4, 4, 5, 2, 6, 4, 7, 6, 5, 4, 6, 5, 3, 7, 4, 7, 6, 3, 4, 5, 4, 6, 7, 7, 4, 4, 2, 3, 5, 5, 4, 4, 6, 5, 6, 4, 5, 3, 5, 4, 4, 3, 5, 3, 6, 3, 4, 7, 4, 6, 4, 4, 6, 2, 4, 3, 1, 7, 4, 6, 4, 7, 2, 4, 4, 4, 3, 5, 5, 3, 7, 6, 6, 7, 3, 6, 7, 5, 2, 4, 3, 5, 5, 3, 5, 3, 3, 3, 3, 3, 7, 7, 4, 7, 3, 4, 5, 4, 5, 4, 4, 6, 5, 6, 4, 5, 6, 3, 3, 5, 4, 6, 6, 5, 2, 6, 6, 4, 2, 2, 7, 6, 4, 4, 5, 7, 2, 5, 4, 4, 6, 5, 4, 6, 5, 6, 6, 2, 4, 6, 5, 5, 4, 3, 6, 7, 7, 3, 4, 3, 5, 3, 5, 6, 4, 6, 5, 7, 6, 4, 3, 5, 3, 6, 6, 6, 4, 5, 5, 4, 3, 4, 3, 4, 4, 9, 7, 4, 5, 3, 4, 5, 6, 4, 5, 3, 5, 4, 2, 2, 4, 2, 3, 4, 2, 4, 3, 6, 5, 5, 6, 4, 4, 4, 3, 2, 2, 5, 3, 5, 7, 5, 3, 6, 3, 5, 2, 5, 4, 4, 7, 5, 4, 7, 4, 2, 3, 6, 5, 5, 3, 2, 4, 6, 5, 3, 5, 3, 7, 5, 4, 5, 4, 4, 2, 4, 4, 6, 7, 5, 4, 6, 5, 6, 7, 4, 6, 3, 6, 5, 4, 3, 6, 5, 4, 1, 4, 4, 5, 4, 5, 5, 1 1, 3, 3, 4, 4, 1, 6, 5, 7, 4, 4, 2, 6, 6, 8, 4, 5, 4, 5, 8, 5, 7, 4, 5, 7, 5, 3, 4, 3, 6, 5, 3, 3, 3, 5, 5, 3, 6, 5, 2, 7, 4, 3, 4, 2, 3, 5, 3, 4, 3, 2, 2, 4, 4, 5, 6, 5, 4, 4, 6, 6, 4, 4, 5, 6, 8, 3, 5, 5, 6, 4, 5, 8, 7, 4, 4, 5, 6, 5, 2, 5, 4, 5, 5, 2, 2, 3, 4, 4, 6, 4, 5, 5, 6, 5, 4, 3, 5, 4, 4, 8, 6, 5, 5, 4, 4, 5, 6, 4, 7, 2, 5, 5, 2, 3, 6, 4, 1, 4, 5, 5, 3, 5, 5, 7, 5, 4, 6, 4, 5, 3, 2, 3, 5, 6, 4, 5, 7, 3, 6, 4, 5, 4, 4, 4, 6, 3, 4, 4, 7, 6, 8, 5, 4, 5, 7, 7, 7, 5, 4, 5, 4, 5, 3, 3, 3, 7, 4, 4, 4, 3, 6, 4, 3, 5, 7, 5, 4, 7, 5, 6, 2, 3, 5, 5, 7, 6, 6, 3, 3, 4, 2, 3, 4, 7, 4, 5, 2, 3, 6, 6, 5, 4, 3, 2, 4, 6, 3, 5, 4, 5, 5, 4, 4, 3, 3, 7, 5, 6, 4, 6, 5, 3, 5, 5, 4, 5, 3, 6, 7, 3, 3, 4, 5, 6, 5, 8, 6, 3, 5, 5, 2, 4, 7, 5, 7, 4, 3, 4, 6, 3, 5, 4, 4, 5, 2, 4, 5, 3, 1, 4, 4, 5, 8, 2, 1, 2, 5, 5, 3, 6, 5, 4, 4, 4, 5, 2, 1, 2, 6, 5, 4, 6, 3, 4, 6, 3, 2, 3, 3, 7, 2, 1, 5, 5, 5, 3, 4, 4, 4, 8, 6, 5, 1, 5, 5, 4, 3, 6, 5, 4, 4, 6, 4, 4, 3, 5, 4, 3, 5, 4, 7, 4, 4, 4, 4, 4, 5, 5, 6, 6, 2, 5, 3, 4, 5, 5, 2, 6, 5, 6, 7, 2, 3, 5, 3, 4, 4, 4, 5, 6, 6, 3, 5, 6, 7, 4, 2, 5, 4, 3, 3, 5, 3, 6, 4, 3, 7, 3, 4, 4, 4, 3, 5, 5, 4, 3, 6, 4, 4, 7, 3, 2, 5, 3, 3, 4, 4, 5, 3, 3, 5, 3, 2, 1, 6, 3, 7, 5, 4, 5, 4, 7, 9, 1, 5, 6, 5, 4, 4, 2, 5, 7, 4, 1, 2, 4, 3, 4, 6, 3, 4, 6, 7, 7, 6, 5, 2, 1, 5, 3, 6, 4, 5, 5, 7, 5, 3, 5, 3, 5, 5, 7, 4, 6, 4, 5, 3, 2, 4, 4, 3, 4, 7, 3, 4, 2, 4, 4, 4, 6, 4, 5, 3, 5, 5, 4, 4, 5, 2, 5, 4, 7, 0, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 3, 5, 7, 1, 5, 5, 4, 8, 6, 2, 5, 5, 2, 5, 8, 1 6, 3, 2, 3, 3, 1, 6, 6, 5, 5, 5, 5, 5, 4, 6, 3, 7, 5, 3, 6, 6, 7, 4, 6, 6, 6, 4, 6, 7, 5, 5, 7, 3, 4, 4, 6, 3, 4, 7, 6, 5, 2, 4, 3, 6, 3, 4, 7, 7, 3, 7, 3, 7, 3, 4, 4, 7, 5, 3, 3, 4, 4, 6, 5, 6, 4, 6, 4, 2, 4, 4, 4, 2, 3, 5, 5, 2, 4, 5, 2, 2, 6, 4, 6, 4, 3, 5, 4, 5, 5, 4, 3, 4, 8, 5, 4, 4, 3, 6, 4, 5, 6, 4, 2, 4, 6, 4, 5, 5, 4, 4, 4, 5, 6, 4, 5, 6, 4, 7, 4, 3, 4, 5, 4, 5, 3, 4, 7, 6, 5, 4, 4, 6, 4, 5, 7, 4, 4, 4, 4, 3, 7, 4, 2, 5, 3, 5, 7, 8, 6, 6, 6, 6, 2, 3, 5, 3, 5, 5, 5, 3, 5, 6, 4, 1, 5, 6, 4, 2, 4, 5, 5, 4, 4, 7, 5, 6, 4, 4, 4, 6, 2, 3, 5, 4, 2, 6, 5, 5, 4, 6, 5, 3, 3, 4, 4, 7, 6, 5, 3, 4, 6, 5, 4, 2, 4, 2, 6, 7, 4, 2, 3, 7, 5, 5, 8, 7, 2, 2, 4, 4, 6, 4, 6, 6, 5, 4, 3, 6, 4, 3, 6, 5, 7, 2, 3, 5, 3, 5, 3, 6, 2, 5, 4, 0, 5, 9, 2, 4, 7, 2, 5, 5, 3, 2, 4, 3, 6, 5, 4, 3, 5, 4, 4, 3, 4, 5, 2, 5, 4, 6, 4, 6, 3, 4, 2, 4, 4, 4, 2, 5, 2, 6, 4, 3, 4, 4, 3, 3, 4, 5, 5, 5, 5, 6, 4, 4, 3, 5, 5, 4, 5, 5, 3, 5, 6, 5, 3, 4, 5, 4, 5, 3, 4, 5, 5, 6, 4, 7, 5, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 2, 4, 3, 2, 2, 5, 7, 6, 2, 4, 5, 5, 4, 5, 4, 6, 5, 5, 4, 2, 3, 4, 2, 3, 5, 5, 6, 6, 5, 5, 4, 6, 4, 6, 6, 3, 7, 2, 6, 5, 3, 5, 7, 1, 5, 2, 4, 6, 5, 6, 4, 4, 4, 6, 3, 4, 3, 4, 5, 5, 6, 5, 5, 3, 9, 5, 2, 6, 3, 4, 4, 6, 8, 3, 4, 5, 4, 1, 4, 7, 3, 6, 5, 6, 5, 5, 3, 2, 3, 3, 3, 4, 4, 7, 4, 7, 4, 4, 6, 5, 3, 3, 2, 6, 3, 4, 6, 4, 3, 5, 4, 6, 5, 1, 2, 3, 3, 6, 6, 4, 7, 5, 5, 1, 3, 3, 1, 5, 3, 4, 5, 5, 5, 5, 3, 2, 6, 5, 3, 5, 4, 5, 7, 5, 1, 6, 4, 3, 3, 5, 3, 6, 4, 4, 5, 5, 3, 3, 4, 5, 4, 6, 5, 4, 4, 5, 5, 2, 2, -1 6, 6, 2, 5, 6, 4, 4, 5, 6, 6, 4, 5, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 4, 2, 2, 6, 7, 1, 5, 4, 5, 4, 5, 7, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 6, 5, 7, 3, 4, 1, 7, 6, 6, 4, 5, 5, 4, 5, 3, 6, 6, 3, 4, 5, 7, 6, 6, 5, 2, 3, 4, 4, 5, 3, 6, 4, 4, 2, 6, 5, 5, 4, 5, 5, 6, 7, 4, 6, 4, 3, 3, 3, 5, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 3, 3, 2, 4, 4, 4, 4, 4, 3, 5, 4, 3, 2, 4, 5, 5, 5, 4, 6, 7, 4, 7, 4, 5, 5, 4, 5, 5, 6, 5, 5, 6, 4, 4, 5, 4, 5, 2, 6, 5, 6, 5, 8, 1, 6, 4, 5, 4, 5, 6, 3, 5, 4, 4, 5, 4, 2, 2, 7, 4, 7, 4, 4, 3, 6, 6, 5, 3, 5, 6, 3, 6, 2, 3, 3, 4, 4, 5, 6, 5, 4, 5, 5, 4, 2, 3, 6, 5, 4, 7, 5, 5, 5, 3, 3, 2, 4, 5, 3, 3, 4, 5, 5, 3, 4, 7, 4, 7, 4, 6, 6, 3, 5, 6, 7, 4, 7, 2, 5, 4, 4, 4, 4, 2, 5, 3, 5, 3, 3, 5, 4, 5, 6, 3, 3, 4, 5, 6, 6, 5, 4, 5, 6, 4, 4, 5, 4, 4, 5, 6, 5, 6, 5, 4, 2, 6, 6, 5, 6, 5, 5, 4, 7, 2, 5, 3, 3, 5, 4, 7, 5, 2, 5, 4, 6, 5, 4, 5, 6, 7, 5, 4, 6, 3, 4, 4, 6, 4, 7, 5, 5, 4, 4, 6, 3, 9, 4, 4, 5, 6, 4, 5, 3, 2, 5, 7, 5, 3, 5, 5, 2, 5, 4, 6, 4, 4, 5, 4, 6, 4, 5, 3, 5, 2, 5, 6, 3, 5, 6, 2, 6, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 7, 4, 3, 4, 6, 4, 5, 4, 5, 5, 4, 2, 6, 3, 5, 5, 3, 4, 4, 7, 4, 4, 5, 4, 6, 3, 5, 5, 3, 5, 3, 3, 4, 2, 3, 5, 4, 5, 3, 4, 3, 7, 3, 6, 4, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 3, 5, 5, 3, 5, 5, 3, 3, 4, 9, 7, 4, 7, 4, 3, 2, 5, 7, 5, 3, 7, 6, 5, 5, 3, 4, 5, 3, 3, 8, 8, 3, 7, 4, 7, 4, 2, 4, 5, 6, 5, 4, 6, 2, 5, 6, 5, 5, 6, 4, 3, 4, 4, 4, 1, 4, 5, 4, 8, 5, 3, 5, 2, 3, 7, 2, 2, 3, 2, 5, 4, 4, 3, 2, 3, 3, 6, 4, 3, 5, 4, 7, 4, 4, 6, 5, 4, 3, 4, 4, 5, 4, -1 3, 5, 5, 3, 4, 4, 7, 4, 4, 2, 5, 3, 4, 5, 2, 2, 5, 7, 5, 5, 7, 6, 4, 4, 4, 6, 4, 5, 5, 5, 5, 6, 5, 4, 6, 4, 5, 5, 6, 4, 6, 4, 4, 3, 4, 4, 3, 5, 2, 2, 3, 4, 5, 3, 4, 4, 4, 4, 4, 2, 6, 2, 4, 3, 4, 6, 5, 3, 6, 6, 2, 6, 3, 6, 4, 6, 3, 6, 5, 3, 3, 5, 2, 5, 5, 4, 2, 2, 6, 4, 4, 6, 4, 5, 6, 5, 5, 4, 3, 5, 4, 6, 6, 6, 5, 3, 6, 4, 4, 4, 2, 4, 6, 5, 4, 4, 5, 5, 7, 5, 3, 4, 3, 5, 5, 6, 5, 4, 4, 8, 4, 4, 6, 4, 3, 6, 6, 5, 7, 5, 2, 4, 4, 2, 3, 6, 6, 2, 4, 4, 7, 1, 5, 5, 5, 4, 6, 3, 6, 3, 7, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 2, 5, 6, 5, 2, 5, 3, 5, 4, 5, 5, 1, 5, 6, 6, 5, 4, 5, 4, 5, 2, 6, 5, 2, 2, 6, 4, 6, 6, 5, 4, 4, 2, 5, 4, 2, 5, 3, 5, 1, 3, 3, 6, 5, 5, 4, 2, 3, 5, 4, 6, 4, 4, 4, 4, 5, 5, 3, 6, 4, 3, 3, 5, 5, 6, 4, 4, 8, 4, 7, 5, 1, 6, 3, 4, 6, 2, 6, 5, 4, 5, 5, 5, 7, 6, 3, 4, 6, 4, 4, 3, 4, 4, 7, 3, 3, 4, 5, 6, 7, 6, 5, 5, 2, 5, 4, 4, 5, 5, 3, 5, 4, 4, 6, 5, 7, 4, 1, 5, 6, 2, 6, 8, 2, 3, 4, 5, 6, 3, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 6, 5, 3, 4, 5, 7, 6, 4, 5, 2, 5, 2, 2, 6, 4, 2, 4, 6, 4, 6, 5, 6, 6, 3, 5, 4, 7, 4, 3, 4, 5, 4, 2, 7, 6, 6, 4, 5, 6, 2, 6, 4, 3, 5, 6, 7, 4, 2, 3, 3, 4, 4, 3, 6, 5, 4, 5, 4, 2, 4, 5, 3, 5, 5, 5, 2, 7, 4, 5, 5, 8, 5, 6, 6, 4, 4, 3, 5, 5, 4, 5, 4, 2, 8, 5, 3, 8, 6, 5, 5, 3, 3, 5, 1, 4, 5, 2, 6, 4, 5, 3, 7, 5, 4, 4, 6, 6, 5, 5, 4, 7, 3, 5, 5, 2, 5, 3, 4, 4, 5, 8, 4, 4, 4, 4, 5, 7, 3, 4, 4, 5, 5, 5, 4, 3, 5, 6, 3, 4, 4, 5, 2, 4, 3, 2, 2, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 3, 3, 6, 7, 7, 7, 3, 7, 3, 4, 4, 4, 3, 4, 3, 5, 4, 6, 5, 4, 6, -1 4, 6, 5, 2, 3, 5, 3, 3, 4, 3, 3, 5, 6, 3, 8, 5, 5, 3, 1, 7, 4, 4, 3, 4, 4, 2, 2, 5, 7, 8, 3, 3, 6, 3, 4, 5, 4, 3, 6, 4, 2, 4, 4, 3, 4, 3, 5, 4, 3, 4, 7, 6, 5, 5, 4, 6, 4, 3, 2, 7, 5, 7, 5, 5, 7, 7, 6, 5, 5, 4, 4, 6, 5, 3, 4, 4, 6, 6, 6, 2, 3, 4, 1, 6, 3, 3, 5, 5, 6, 6, 4, 6, 4, 4, 5, 5, 1, 6, 4, 7, 4, 5, 5, 5, 4, 4, 6, 5, 3, 2, 3, 6, 5, 5, 4, 5, 3, 3, 6, 5, 3, 5, 5, 3, 3, 8, 2, 5, 4, 4, 6, 3, 5, 3, 3, 5, 4, 3, 3, 6, 4, 2, 5, 3, 6, 6, 3, 2, 9, 5, 5, 4, 3, 7, 6, 5, 7, 4, 6, 6, 5, 3, 7, 5, 7, 1, 5, 4, 4, 4, 5, 5, 6, 4, 6, 7, 4, 4, 6, 3, 7, 3, 4, 6, 3, 5, 5, 6, 6, 5, 7, 2, 3, 3, 6, 6, 4, 7, 5, 2, 7, 4, 6, 3, 3, 5, 3, 5, 5, 4, 4, 7, 2, 6, 2, 3, 4, 5, 4, 3, 4, 5, 4, 5, 5, 2, 5, 3, 3, 6, 6, 2, 4, 4, 3, 1, 4, 5, 4, 3, 2, 3, 1, 3, 6, 0, 3, 5, 3, 5, 4, 4, 5, 3, 6, 3, 4, 3, 4, 4, 8, 4, 3, 5, 6, 4, 6, 4, 2, 5, 5, 4, 4, 2, 6, 3, 7, 5, 6, 4, 3, 7, 6, 3, 3, 5, 6, 2, 4, 5, 5, 6, 5, 6, 5, 4, 6, 4, 3, 7, 6, 6, 7, 6, 4, 4, 3, 3, 3, 5, 2, 7, 3, 6, 4, 4, 6, 4, 6, 5, 7, 5, 4, 5, 6, 5, 6, 0, 4, 5, 3, 5, 5, 4, 4, 5, 6, 2, 3, 4, 7, 5, 5, 4, 2, 3, 5, 3, 6, 5, 5, 6, 2, 4, 5, 4, 3, 3, 3, 4, 2, 5, 5, 6, 6, 6, 8, 5, 4, 7, 4, 3, 5, 5, 4, 4, 5, 3, 3, 2, 3, 5, 6, 2, 5, 4, 5, 2, 5, 3, 3, 5, 4, 4, 5, 6, 3, 3, 4, 2, 4, 3, 6, 5, 5, 2, 6, 5, 4, 7, 2, 4, 4, 4, 6, 5, 3, 5, 4, 3, 4, 5, 1, 4, 5, 2, 4, 4, 4, 4, 4, 3, 6, 7, 4, 5, 5, 5, 7, 5, 2, 3, 3, 4, 3, 8, 6, 5, 7, 5, 6, 6, 5, 5, 2, 6, 7, 5, 6, 5, 3, 3, 4, 3, 5, 2, 3, 5, 4, 4, 2, 4, 3, 4, 5, 3, 4, 5, 4, 5, 2, 3, 7, 5, 5, 4, 7, 6, 4, 4, 5, 3, 5, 5, 4, 4, 4, 6, 5, 5, -1 3, 3, 3, 3, 1, 3, 5, 4, 6, 5, 5, 4, 6, 3, 3, 3, 6, 5, 3, 5, 5, 8, 3, 6, 2, 4, 3, 4, 5, 2, 6, 9, 4, 1, 4, 5, 4, 6, 6, 5, 7, 7, 5, 5, 4, 4, 4, 3, 2, 4, 6, 6, 5, 4, 4, 4, 5, 5, 2, 6, 6, 6, 3, 5, 3, 6, 6, 4, 5, 2, 3, 6, 5, 5, 3, 4, 6, 6, 5, 2, 0, 5, 4, 5, 3, 6, 3, 7, 5, 4, 4, 2, 3, 4, 2, 4, 5, 5, 5, 5, 7, 4, 6, 3, 3, 4, 5, 5, 2, 3, 0, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 3, 5, 5, 3, 3, 5, 6, 5, 5, 4, 3, 6, 3, 3, 5, 6, 5, 5, 3, 7, 4, 3, 2, 4, 6, 3, 4, 5, 9, 5, 2, 5, 4, 6, 3, 3, 5, 4, 4, 8, 0, 5, 6, 4, 5, 6, 4, 3, 4, 5, 4, 3, 6, 5, 8, 6, 4, 6, 4, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 7, 5, 7, 6, 5, 5, 5, 4, 6, 3, 5, 4, 4, 5, 6, 3, 2, 3, 5, 6, 3, 5, 7, 4, 6, 5, 5, 3, 3, 5, 6, 5, 3, 3, 4, 8, 5, 3, 2, 3, 4, 5, 7, 4, 5, 6, 3, 5, 7, 5, 4, 5, 4, 4, 6, 4, 3, 2, 4, 4, 7, 3, 4, 5, 5, 3, 4, 4, 3, 2, 7, 5, 7, 4, 4, 5, 4, 5, 6, 5, 3, 3, 4, 6, 5, 4, 4, 3, 4, 3, 3, 4, 7, 3, 7, 4, 3, 4, 3, 5, 6, 7, 3, 4, 6, 5, 3, 9, 6, 5, 5, 2, 3, 5, 2, 4, 6, 6, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 5, 4, 4, 0, 3, 6, 3, 4, 4, 5, 3, 5, 0, 5, 3, 3, 4, 8, 3, 5, 5, 4, 3, 5, 3, 3, 5, 6, 4, 7, 4, 5, 4, 5, 6, 5, 1, 6, 6, 6, 3, 4, 5, 7, 7, 5, 7, 4, 2, 3, 3, 5, 5, 1, 5, 3, 3, 2, 4, 6, 4, 5, 3, 6, 3, 3, 6, 3, 6, 6, 4, 3, 5, 8, 5, 2, 4, 6, 2, 6, 4, 4, 3, 6, 2, 3, 3, 3, 5, 5, 2, 4, 5, 4, 6, 4, 5, 4, 6, 6, 5, 4, 5, 3, 4, 5, 4, 2, 4, 5, 6, 8, 5, 4, 4, 5, 5, 2, 5, 8, 5, 5, 5, 4, 6, 4, 4, 5, 4, 3, 4, 5, 4, 2, 2, 4, 1, 6, 3, 3, 2, 2, 5, 4, 5, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 4, 6, 4, 3, 3, 6, 4, 2, 4, 1 3, 5, 6, 1, 4, 4, 3, 4, 5, 3, 4, 5, 3, 5, 6, 6, 6, 7, 2, 4, 4, 3, 2, 7, 3, 8, 5, 4, 4, 7, 9, 4, 3, 4, 7, 5, 4, 4, 4, 4, 7, 3, 4, 3, 6, 3, 5, 4, 2, 4, 3, 5, 4, 4, 5, 3, 4, 5, 1, 6, 7, 6, 3, 5, 2, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 3, 2, 7, 6, 4, 3, 2, 6, 4, 5, 3, 5, 4, 6, 6, 4, 6, 5, 1, 5, 5, 4, 4, 4, 5, 6, 4, 4, 3, 6, 5, 6, 7, 3, 5, 4, 5, 6, 4, 4, 6, 4, 3, 6, 8, 4, 6, 3, 4, 4, 7, 5, 2, 5, 6, 4, 6, 6, 6, 5, 4, 5, 4, 5, 3, 2, 5, 8, 3, 3, 5, 3, 4, 3, 5, 6, 3, 5, 6, 5, 5, 7, 5, 6, 6, 6, 7, 7, 4, 5, 3, 7, 8, 6, 5, 4, 4, 4, 4, 3, 5, 6, 4, 3, 3, 7, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 4, 2, 6, 2, 4, 2, 7, 3, 2, 4, 6, 7, 3, 4, 4, 6, 5, 5, 4, 4, 4, 6, 5, 4, 6, 4, 3, 3, 3, 7, 5, 6, 5, 3, 3, 6, 5, 6, 5, 5, 3, 5, 5, 4, 5, 7, 9, 5, 5, 5, 6, 5, 5, 7, 3, 3, 2, 3, 4, 3, 5, 3, 0, 5, 5, 5, 7, 2, 5, 6, 4, 5, 4, 4, 3, 3, 4, 5, 3, 6, 2, 6, 5, 4, 3, 4, 4, 7, 4, 5, 6, 3, 3, 5, 2, 4, 4, 2, 3, 2, 4, 6, 4, 6, 3, 6, 3, 7, 3, 5, 2, 6, 4, 4, 7, 2, 3, 4, 6, 5, 4, 2, 5, 5, 3, 6, 4, 5, 6, 4, 5, 5, 5, 6, 6, 7, 4, 5, 3, 5, 2, 4, 5, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 5, 6, 4, 6, 6, 5, 1, 4, 3, 5, 4, 4, 4, 6, 6, 3, 3, 4, 4, 5, 9, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 6, 4, 2, 6, 3, 3, 3, 3, 4, 6, 5, 4, 6, 5, 3, 3, 3, 5, 7, 3, 4, 5, 4, 4, 3, 6, 5, 4, 5, 5, 6, 5, 6, 7, 5, 5, 3, 3, 6, 6, 4, 5, 6, 0, 6, 3, 6, 4, 7, 6, 5, 6, 3, 4, 6, 1, 5, 6, 7, 4, 4, 1, 3, 4, 5, 4, 5, 6, 2, 3, 3, 6, 4, 7, 4, 4, 5, 6, 5, 3, 4, 7, 5, 3, 3, 5, 5, 4, 5, 2, 8, 5, 4, 6, 5, 2, 4, 3, 6, 5, 4, 6, 3, 1, 5, 3, 4, 7, 8, 3, 3, 4, 4, 3, 5, 4, 5, 5, 4, 7, 4, 4, 3, 5, 1 5, 2, 7, 5, 4, 0, 5, 4, 4, 4, 3, 5, 4, 3, 5, 5, 6, 6, 4, 4, 6, 4, 6, 2, 5, 4, 3, 4, 5, 6, 7, 7, 5, 6, 6, 4, 4, 5, 5, 6, 8, 2, 5, 5, 6, 4, 5, 3, 2, 5, 7, 6, 5, 3, 3, 3, 6, 5, 3, 3, 4, 5, 2, 6, 5, 4, 1, 4, 5, 6, 6, 4, 3, 4, 3, 7, 3, 3, 6, 4, 1, 6, 2, 6, 6, 6, 4, 3, 3, 7, 4, 3, 6, 6, 4, 4, 7, 6, 1, 3, 8, 3, 3, 5, 6, 3, 5, 4, 5, 6, 6, 3, 4, 5, 5, 3, 6, 2, 4, 3, 5, 6, 3, 6, 3, 2, 3, 6, 3, 4, 3, 5, 4, 2, 5, 3, 6, 6, 4, 6, 4, 4, 4, 5, 4, 6, 4, 5, 4, 6, 4, 2, 7, 6, 5, 4, 7, 5, 5, 5, 5, 3, 4, 5, 6, 8, 6, 3, 4, 1, 4, 5, 6, 6, 5, 6, 3, 5, 4, 5, 3, 4, 4, 5, 5, 5, 6, 3, 3, 3, 6, 3, 5, 4, 4, 2, 6, 4, 5, 1, 2, 5, 6, 1, 4, 6, 5, 7, 9, 5, 6, 2, 5, 7, 3, 5, 3, 3, 7, 3, 5, 5, 3, 3, 4, 3, 5, 3, 3, 3, 4, 5, 6, 7, 6, 5, 3, 4, 4, 5, 7, 7, 2, 4, 5, 5, 5, 3, 6, 4, 2, 4, 5, 4, 4, 4, 5, 5, 4, 6, 5, 4, 5, 3, 3, 6, 5, 6, 5, 2, 5, 6, 6, 2, 6, 4, 4, 3, 4, 6, 4, 6, 5, 7, 3, 5, 4, 5, 6, 2, 8, 4, 7, 6, 5, 3, 4, 4, 3, 7, 6, 7, 6, 6, 2, 3, 4, 4, 3, 2, 1, 7, 5, 7, 5, 4, 4, 5, 5, 8, 5, 5, 4, 4, 6, 4, 4, 3, 4, 3, 5, 5, 4, 4, 6, 6, 4, 4, 2, 4, 2, 4, 5, 2, 4, 4, 3, 2, 6, 3, 6, 2, 4, 3, 3, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 1, 5, 3, 4, 3, 5, 4, 5, 7, 7, 3, 2, 3, 6, 4, 3, 5, 7, 8, 3, 2, 6, 4, 4, 5, 4, 3, 2, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 7, 5, 5, 4, 6, 4, 4, 3, 5, 5, 3, 4, 7, 2, 2, 5, 6, 3, 2, 4, 5, 3, 5, 2, 4, 4, 2, 4, 7, 3, 5, 1, 4, 6, 5, 2, 4, 0, 2, 3, 4, 5, 6, 2, 4, 6, 5, 4, 2, 5, 8, 7, 3, 3, 3, 5, 5, 3, 7, 7, 3, 5, 4, 5, 5, 5, 3, 0, 6, 3, 7, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 2, 2, 4, 5, 2, 4, 5, 6, 3, 5, 4, 1 1, 3, 2, 3, 6, 4, 6, 6, 4, 6, 4, 1, 4, 6, 4, 6, 5, 5, 5, 4, 5, 6, 6, 5, 5, 3, 6, 3, 3, 6, 2, 4, 5, 2, 6, 6, 5, 5, 5, 6, 4, 4, 6, 3, 6, 4, 5, 5, 2, 7, 6, 2, 3, 6, 6, 5, 4, 3, 5, 4, 7, 3, 6, 5, 7, 4, 6, 2, 4, 5, 5, 5, 5, 5, 4, 6, 4, 3, 4, 3, 2, 3, 1, 5, 4, 3, 7, 3, 4, 4, 4, 3, 5, 3, 3, 4, 7, 8, 7, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 5, 5, 5, 4, 6, 5, 5, 4, 4, 3, 6, 5, 4, 3, 5, 5, 5, 6, 5, 2, 4, 3, 3, 4, 4, 6, 0, 5, 3, 8, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 2, 2, 5, 4, 6, 6, 3, 3, 4, 6, 3, 6, 4, 3, 6, 5, 4, 4, 4, 6, 4, 6, 7, 6, 4, 5, 4, 7, 4, 5, 4, 5, 6, 4, 5, 3, 3, 6, 5, 7, 4, 6, 4, 3, 4, 7, 5, 6, 4, 6, 3, 3, 6, 4, 6, 6, 3, 4, 6, 2, 4, 6, 6, 7, 3, 4, 2, 4, 2, 2, 2, 4, 5, 5, 7, 6, 3, 5, 5, 4, 4, 5, 1, 6, 3, 6, 8, 5, 5, 4, 6, 4, 4, 4, 3, 3, 5, 5, 2, 5, 5, 5, 6, 7, 7, 4, 4, 3, 6, 6, 3, 5, 5, 3, 4, 3, 5, 5, 4, 2, 4, 4, 4, 3, 1, 6, 2, 7, 5, 6, 4, 6, 6, 4, 4, 4, 7, 6, 1, 3, 4, 6, 6, 8, 4, 3, 6, 3, 4, 4, 5, 4, 6, 5, 6, 3, 6, 2, 3, 1, 5, 3, 2, 3, 5, 3, 4, 3, 3, 3, 6, 5, 5, 5, 4, 4, 5, 7, 5, 6, 2, 4, 4, 7, 2, 8, 4, 6, 3, 5, 3, 3, 6, 3, 2, 4, 6, 3, 5, 5, 2, 3, 3, 2, 3, 8, 4, 2, 5, 3, 5, 4, 4, 3, 5, 8, 6, 7, 4, 4, 5, 3, 5, 5, 6, 5, 4, 4, 6, 2, 4, 5, 4, 3, 2, 5, 5, 7, 3, 3, 3, 4, 5, 4, 2, 4, 5, 2, 2, 4, 6, 5, 5, 7, 4, 5, 6, 3, 6, 4, 5, 3, 5, 5, 4, 2, 4, 0, 9, 6, 6, 3, 3, 6, 4, 4, 5, 4, 5, 7, 5, 6, 4, 5, 6, 6, 3, 5, 2, 4, 3, 7, 5, 5, 5, 5, 4, 6, 4, 7, 9, 4, 3, 6, 5, 3, 7, 4, 6, 6, 4, 5, 2, 3, 4, 4, 3, 6, 3, 4, 4, 5, 2, 5, 7, 4, 4, 4, 5, 4, 2, 2, 6, 6, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 6, 6, 4, 4, 5, 3, -1 6, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 6, 4, 5, 6, 5, 4, 4, 4, 5, 6, 5, 4, 4, 6, 3, 4, 3, 7, 4, 3, 2, 3, 5, 3, 6, 2, 2, 4, 4, 5, 5, 7, 5, 5, 6, 5, 4, 3, 3, 6, 3, 4, 3, 3, 5, 8, 3, 2, 4, 5, 6, 7, 6, 6, 5, 4, 4, 8, 4, 4, 5, 4, 4, 2, 3, 5, 2, 4, 6, 3, 1, 4, 5, 5, 5, 6, 1, 6, 3, 4, 7, 5, 2, 4, 6, 6, 2, 5, 5, 6, 4, 5, 4, 7, 3, 7, 7, 2, 3, 5, 7, 5, 4, 2, 3, 5, 5, 5, 5, 6, 5, 5, 4, 5, 7, 4, 4, 3, 7, 4, 3, 6, 6, 6, 5, 5, 5, 7, 3, 3, 4, 4, 4, 4, 7, 5, 4, 5, 7, 4, 4, 6, 3, 7, 4, 7, 6, 6, 4, 5, 8, 4, 5, 3, 3, 6, 4, 4, 2, 6, 3, 4, 2, 6, 3, 5, 2, 3, 5, 9, 3, 2, 4, 5, 4, 6, 3, 5, 5, 5, 3, 5, 3, 5, 5, 3, 4, 4, 2, 6, 5, 2, 4, 2, 5, 6, 4, 2, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 3, 4, 3, 4, 3, 5, 4, 5, 4, 8, 6, 4, 5, 4, 6, 4, 6, 6, 5, 5, 6, 4, 6, 6, 2, 4, 3, 6, 3, 7, 5, 5, 5, 4, 6, 2, 4, 5, 5, 5, 5, 6, 5, 4, 5, 5, 3, 3, 3, 3, 4, 2, 5, 3, 4, 5, 4, 6, 6, 3, 3, 3, 9, 7, 5, 8, 4, 3, 6, 4, 5, 4, 4, 6, 3, 4, 6, 4, 4, 5, 6, 5, 6, 6, 3, 5, 5, 4, 1, 8, 6, 3, 4, 4, 3, 4, 5, 2, 7, 4, 5, 4, 6, 4, 5, 3, 7, 6, 3, 3, 7, 3, 5, 6, 4, 3, 6, 3, 5, 7, 2, 3, 5, 5, 3, 7, 5, 6, 5, 4, 3, 7, 5, 5, 3, 4, 5, 5, 4, 3, 5, 4, 5, 6, 4, 5, 3, 6, 5, 5, 5, 5, 5, 5, 5, 8, 4, 5, 2, 5, 5, 3, 4, 3, 4, 2, 5, 4, 3, 5, 5, 4, 4, 3, 3, 6, 6, 5, 5, 4, 3, 4, 7, 4, 3, 3, 5, 6, 4, 4, 4, 1, 3, 6, 4, 4, 6, 7, 4, 5, 5, 3, 4, 4, 6, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 6, 4, 6, 5, 3, 4, 3, 3, 3, 3, 6, 6, 3, 3, 4, 4, 7, 5, 3, 3, 7, 3, 1, 3, 5, 4, 3, 3, 1, 2, 4, 3, 6, 5, 4, 3, 3, 3, 9, 4, 3, 5, 7, 5, 5, 7, 4, 3, 2, 4, 5, 5, 6, 4, 5, 4, 5, 3, 2, 4, 6, 3, 5, 5, 3, -1 1, 3, 4, 4, 3, 1, 6, 3, 2, 4, 6, 4, 4, 6, 4, 3, 6, 4, 3, 5, 4, 4, 6, 6, 3, 3, 4, 3, 8, 4, 3, 5, 4, 3, 5, 6, 3, 5, 5, 6, 6, 5, 3, 6, 0, 4, 3, 3, 5, 4, 3, 4, 6, 3, 4, 4, 5, 4, 4, 5, 6, 2, 3, 5, 6, 1, 5, 4, 7, 4, 0, 4, 5, 3, 3, 6, 6, 6, 6, 4, 7, 5, 2, 4, 5, 5, 7, 3, 4, 3, 7, 3, 9, 3, 6, 5, 4, 7, 3, 5, 4, 2, 4, 6, 3, 5, 5, 6, 6, 3, 6, 4, 4, 5, 6, 2, 5, 4, 4, 4, 3, 2, 6, 6, 5, 9, 4, 3, 5, 6, 4, 6, 5, 6, 4, 6, 3, 3, 5, 4, 3, 3, 2, 4, 5, 5, 3, 7, 4, 4, 5, 4, 4, 6, 5, 5, 7, 5, 3, 7, 7, 4, 2, 2, 2, 6, 4, 2, 6, 4, 2, 8, 4, 3, 7, 8, 5, 2, 0, 3, 3, 6, 5, 4, 3, 7, 7, 7, 5, 6, 4, 2, 3, 6, 4, 4, 2, 5, 6, 6, 4, 3, 2, 5, 5, 2, 6, 6, 4, 5, 1, 5, 6, 6, 3, 4, 3, 5, 7, 3, 0, 6, 4, 7, 3, 2, 3, 5, 4, 4, 3, 5, 3, 5, 6, 6, 5, 2, 8, 7, 4, 4, 5, 5, 8, 3, 5, 4, 4, 4, 7, 6, 4, 3, 4, 4, 4, 2, 5, 4, 4, 5, 9, 4, 5, 4, 4, 6, 3, 3, 4, 4, 6, 4, 2, 4, 4, 3, 6, 7, 6, 6, 7, 5, 3, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 8, 5, 6, 3, 5, 4, 5, 5, 4, 5, 5, 6, 5, 5, 3, 3, 6, 4, 8, 5, 7, 5, 2, 2, 6, 4, 6, 3, 6, 2, 6, 4, 5, 6, 3, 4, 6, 5, 3, 5, 4, 6, 4, 3, 7, 6, 3, 4, 3, 3, 4, 4, 5, 4, 2, 5, 3, 5, 3, 6, 6, 4, 4, 3, 5, 4, 7, 2, 3, 6, 5, 3, 6, 4, 6, 5, 2, 7, 5, 7, 2, 4, 4, 3, 6, 5, 4, 4, 5, 6, 5, 2, 6, 5, 9, 2, 5, 5, 5, 3, 3, 3, 6, 5, 7, 1, 5, 5, 3, 8, 6, 2, 5, 6, 5, 4, 4, 6, 7, 5, 4, 6, 4, 7, 7, 4, 4, 4, 4, 3, 5, 3, 3, 6, 6, 5, 5, 2, 2, 6, 4, 2, 3, 5, 3, 3, 4, 4, 3, 4, 5, 7, 6, 5, 4, 5, 4, 3, 6, 6, 5, 4, 5, 1, 3, 5, 4, 2, 6, 3, 2, 4, 2, 3, 4, 4, 3, 4, 3, 6, 4, 6, 6, 4, 4, 7, 6, 4, 5, 5, 4, 2, 3, 5, 4, 6, 3, 5, 4, 4, -1 1, 5, 4, 3, 4, 3, 4, 9, 4, 4, 6, 3, 5, 4, 4, 5, 5, 5, 4, 3, 3, 6, 4, 6, 6, 6, 4, 4, 3, 4, 6, 6, 3, 4, 8, 4, 5, 5, 5, 5, 5, 4, 5, 5, 6, 4, 3, 6, 4, 2, 3, 6, 4, 3, 4, 8, 6, 5, 3, 6, 4, 6, 7, 4, 4, 3, 5, 5, 6, 5, 5, 7, 3, 5, 5, 6, 3, 3, 6, 1, 3, 3, 4, 4, 4, 2, 4, 2, 5, 3, 4, 4, 7, 4, 6, 3, 5, 7, 3, 6, 6, 4, 5, 5, 2, 4, 6, 5, 6, 2, 4, 5, 6, 5, 5, 5, 6, 3, 5, 4, 5, 6, 4, 7, 4, 3, 6, 4, 5, 6, 5, 6, 7, 4, 3, 7, 5, 6, 6, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 3, 7, 5, 5, 6, 4, 2, 4, 6, 8, 6, 6, 4, 4, 4, 4, 3, 7, 4, 4, 3, 5, 3, 4, 6, 5, 5, 6, 4, 5, 4, 6, 3, 4, 6, 4, 7, 4, 4, 7, 4, 6, 4, 1, 6, 6, 3, 4, 6, 2, 2, 3, 6, 2, 6, 5, 2, 6, 7, 5, 8, 4, 4, 2, 6, 6, 2, 4, 4, 2, 5, 5, 3, 4, 3, 4, 5, 5, 5, 1, 3, 8, 3, 3, 7, 6, 4, 3, 3, 5, 4, 4, 5, 5, 8, 6, 6, 7, 2, 7, 7, 5, 4, 3, 3, 3, 3, 5, 6, 4, 6, 5, 6, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 7, 6, 3, 6, 6, 7, 3, 6, 5, 5, 2, 5, 4, 3, 3, 6, 4, 4, 4, 7, 5, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 4, 5, 4, 2, 3, 4, 6, 5, 3, 4, 3, 4, 4, 3, 2, 4, 2, 5, 7, 6, 6, 5, 5, 3, 4, 4, 4, 3, 4, 3, 4, 0, 2, 6, 7, 4, 7, 4, 3, 4, 5, 5, 2, 2, 5, 4, 3, 4, 3, 6, 8, 3, 4, 7, 6, 5, 6, 6, 6, 3, 5, 5, 4, 3, 2, 9, 3, 4, 2, 7, 4, 4, 4, 3, 2, 6, 6, 6, 4, 1, 4, 4, 5, 3, 5, 4, 4, 5, 3, 5, 3, 4, 5, 4, 5, 4, 5, 3, 6, 3, 5, 4, 3, 2, 3, 4, 2, 5, 3, 6, 4, 3, 7, 5, 3, 2, 5, 4, 3, 2, 4, 4, 3, 5, 4, 6, 4, 5, 6, 5, 5, 6, 5, 3, 5, 5, 5, 4, 5, 4, 4, 8, 6, 3, 4, 6, 3, 5, 3, 3, 3, 4, 4, 2, 5, 3, 4, 8, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 3, 5, 4, 4, 5, 4, 6, 4, 5, 6, 8, 3, 3, 6, 5, 4, 6, 5, 4, 6, 6, 4, 5, 6, 1 2, 6, 5, 5, 4, 2, 5, 4, 6, 3, 5, 3, 7, 5, 7, 9, 5, 5, 3, 6, 5, 4, 6, 3, 4, 7, 2, 4, 7, 7, 6, 6, 6, 5, 4, 8, 4, 5, 5, 6, 5, 4, 5, 5, 5, 5, 4, 3, 6, 6, 5, 4, 5, 3, 4, 3, 6, 4, 2, 4, 5, 6, 3, 1, 5, 5, 6, 5, 3, 6, 6, 5, 3, 5, 6, 5, 4, 3, 5, 5, 3, 4, 3, 4, 5, 7, 4, 3, 3, 5, 4, 6, 5, 4, 3, 4, 5, 4, 7, 6, 4, 3, 4, 4, 4, 6, 4, 6, 1, 3, 2, 4, 4, 6, 8, 1, 3, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 7, 6, 4, 4, 4, 4, 4, 9, 6, 3, 3, 3, 4, 3, 5, 7, 4, 5, 6, 7, 6, 6, 5, 4, 6, 5, 2, 4, 3, 5, 7, 7, 7, 3, 2, 7, 2, 7, 3, 7, 6, 4, 3, 6, 6, 2, 3, 5, 4, 6, 5, 5, 7, 3, 3, 5, 3, 3, 6, 8, 6, 6, 5, 5, 5, 5, 5, 5, 3, 2, 5, 6, 3, 7, 3, 6, 6, 6, 3, 4, 6, 5, 4, 7, 6, 5, 5, 6, 4, 9, 4, 5, 3, 3, 5, 4, 5, 4, 5, 5, 5, 6, 2, 3, 4, 4, 4, 2, 4, 7, 5, 5, 5, 3, 2, 2, 7, 5, 7, 4, 2, 6, 4, 1, 5, 5, 5, 3, 3, 4, 5, 4, 7, 5, 3, 6, 3, 7, 3, 5, 3, 4, 4, 4, 4, 6, 3, 5, 4, 7, 5, 4, 3, 4, 2, 6, 3, 4, 2, 3, 5, 5, 4, 4, 5, 4, 2, 4, 3, 5, 4, 7, 4, 5, 5, 3, 5, 4, 3, 4, 3, 8, 5, 1, 5, 5, 3, 3, 3, 4, 6, 7, 3, 4, 5, 3, 4, 5, 3, 4, 4, 4, 2, 5, 4, 4, 5, 4, 6, 4, 6, 6, 4, 4, 2, 4, 3, 7, 6, 2, 7, 5, 5, 3, 6, 5, 3, 4, 5, 4, 1, 5, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 3, 3, 4, 4, 4, 5, 3, 5, 4, 6, 4, 4, 6, 2, 5, 3, 7, 4, 3, 4, 6, 4, 3, 5, 5, 5, 5, 6, 5, 6, 6, 4, 4, 6, 1, 3, 6, 6, 6, 2, 4, 7, 3, 4, 5, 2, 4, 6, 6, 4, 5, 6, 4, 3, 4, 3, 5, 4, 4, 6, 4, 2, 6, 6, 2, 2, 4, 3, 8, 3, 4, 5, 4, 6, 4, 6, 4, 4, 1, 4, 5, 5, 7, 4, 5, 2, 3, 4, 3, 3, 6, 4, 8, 3, 6, 5, 5, 6, 3, 4, 2, 3, 4, 5, 6, 4, 2, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 3, 6, 7, 5, 6, 3, -1 4, 5, 4, 2, 3, 3, 4, 5, 3, 2, 4, 6, 7, 2, 4, 4, 7, 6, 5, 4, 7, 6, 4, 4, 5, 5, 5, 4, 7, 6, 8, 4, 5, 4, 5, 6, 2, 5, 4, 2, 5, 3, 4, 4, 2, 3, 3, 3, 1, 3, 2, 3, 3, 6, 6, 6, 4, 5, 3, 5, 5, 6, 4, 4, 4, 5, 5, 6, 4, 3, 4, 5, 3, 4, 6, 4, 5, 5, 6, 5, 5, 5, 4, 3, 4, 4, 5, 2, 6, 6, 7, 4, 4, 3, 2, 5, 3, 7, 4, 7, 2, 5, 3, 4, 5, 4, 6, 5, 4, 5, 3, 5, 6, 5, 5, 5, 7, 3, 3, 4, 4, 4, 4, 3, 6, 5, 2, 7, 5, 6, 3, 3, 6, 2, 4, 5, 3, 3, 4, 6, 3, 4, 3, 2, 2, 6, 6, 5, 3, 4, 6, 4, 4, 6, 5, 4, 5, 5, 6, 4, 4, 5, 4, 5, 7, 2, 6, 5, 8, 7, 3, 6, 2, 1, 5, 8, 7, 5, 4, 3, 4, 4, 3, 7, 6, 4, 6, 5, 6, 6, 5, 2, 5, 3, 4, 6, 6, 5, 5, 7, 8, 5, 3, 4, 5, 4, 4, 6, 3, 4, 3, 6, 3, 4, 6, 6, 2, 3, 7, 4, 5, 6, 4, 4, 2, 5, 5, 4, 4, 4, 4, 6, 5, 5, 3, 6, 4, 4, 6, 6, 8, 5, 3, 2, 5, 4, 5, 4, 5, 6, 6, 6, 7, 8, 5, 2, 3, 4, 5, 4, 4, 4, 4, 7, 4, 2, 4, 4, 6, 4, 4, 3, 9, 4, 3, 3, 7, 2, 6, 5, 1, 6, 3, 2, 3, 4, 8, 3, 5, 5, 7, 5, 3, 6, 3, 4, 3, 5, 4, 6, 3, 4, 3, 4, 3, 6, 3, 5, 2, 6, 4, 4, 4, 5, 1, 5, 5, 7, 7, 3, 7, 7, 7, 4, 6, 1, 6, 6, 5, 3, 4, 5, 4, 6, 3, 7, 4, 6, 2, 5, 3, 4, 6, 4, 5, 5, 6, 3, 4, 4, 3, 6, 6, 5, 3, 5, 5, 5, 7, 5, 5, 6, 5, 5, 5, 3, 8, 4, 5, 2, 5, 7, 4, 6, 4, 3, 3, 4, 0, 4, 3, 6, 4, 3, 6, 7, 7, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 6, 8, 3, 3, 4, 5, 6, 3, 4, 6, 6, 4, 4, 3, 4, 5, 5, 3, 5, 5, 6, 5, 4, 5, 4, 5, 2, 6, 5, 3, 2, 4, 7, 6, 2, 5, 7, 4, 5, 4, 4, 5, 3, 7, 4, 2, 3, 4, 1, 5, 5, 5, 2, 6, 6, 4, 5, 5, 5, 6, 3, 5, 5, 3, 5, 4, 6, 5, 4, 6, 5, 3, 5, 2, 6, 2, 2, 6, 5, 5, 7, 4, 4, 6, 5, 4, 6, 2, 3, 4, 5, 4, 6, 4, 6, 6, 4, 7, 1, 6, 4, 5, 4, -1 5, 4, 4, 4, 4, 7, 5, 2, 5, 2, 6, 4, 5, 7, 5, 6, 3, 7, 4, 5, 6, 5, 4, 4, 4, 4, 2, 4, 2, 4, 6, 6, 5, 3, 8, 6, 3, 3, 4, 6, 6, 3, 5, 3, 3, 3, 4, 5, 4, 5, 4, 4, 5, 2, 2, 5, 5, 3, 5, 7, 5, 4, 4, 6, 2, 2, 7, 5, 7, 4, 6, 4, 4, 3, 6, 2, 6, 6, 5, 3, 6, 6, 5, 5, 5, 3, 6, 4, 5, 2, 4, 4, 3, 4, 3, 4, 5, 4, 3, 7, 6, 4, 5, 3, 4, 5, 4, 6, 4, 5, 6, 6, 5, 4, 3, 4, 3, 3, 8, 7, 4, 4, 5, 4, 6, 6, 4, 5, 6, 5, 4, 3, 7, 6, 4, 4, 6, 5, 4, 5, 5, 5, 3, 3, 5, 4, 4, 6, 3, 4, 4, 7, 3, 2, 5, 7, 7, 5, 7, 6, 6, 5, 6, 4, 5, 1, 6, 4, 2, 6, 5, 4, 6, 3, 5, 5, 6, 6, 4, 6, 6, 4, 4, 4, 4, 4, 5, 4, 7, 5, 5, 1, 4, 3, 5, 3, 4, 3, 7, 3, 5, 5, 3, 5, 3, 2, 3, 8, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 5, 6, 5, 6, 4, 7, 4, 3, 5, 7, 6, 3, 5, 3, 6, 6, 4, 6, 3, 5, 5, 5, 6, 6, 4, 4, 4, 3, 4, 7, 4, 4, 6, 7, 3, 4, 4, 4, 6, 5, 4, 6, 4, 4, 4, 4, 2, 6, 6, 3, 4, 3, 2, 5, 5, 4, 3, 3, 4, 5, 4, 5, 4, 2, 5, 4, 6, 5, 6, 6, 4, 5, 4, 5, 2, 3, 2, 8, 5, 2, 6, 5, 6, 6, 5, 2, 7, 5, 3, 1, 5, 6, 4, 3, 2, 3, 3, 5, 3, 5, 3, 6, 3, 5, 4, 6, 5, 4, 5, 6, 4, 4, 1, 5, 4, 4, 4, 6, 1, 5, 5, 4, 6, 5, 5, 4, 2, 6, 5, 5, 6, 4, 6, 3, 5, 5, 5, 6, 5, 4, 5, 3, 5, 5, 5, 6, 3, 6, 4, 3, 2, 4, 3, 5, 3, 6, 6, 4, 6, 2, 4, 4, 3, 5, 4, 3, 5, 4, 4, 3, 5, 3, 4, 5, 4, 6, 4, 8, 6, 3, 5, 6, 5, 5, 5, 4, 3, 6, 3, 6, 5, 5, 6, 4, 4, 4, 4, 2, 5, 3, 0, 3, 3, 3, 6, 4, 7, 5, 6, 7, 7, 4, 5, 6, 4, 2, 5, 3, 7, 3, 5, 4, 5, 5, 7, 6, 3, 3, 3, 5, 6, 7, 3, 2, 4, 5, 7, 2, 3, 5, 4, 4, 4, 5, 5, 4, 6, 4, 4, 3, 5, 2, 6, 3, 7, 6, 3, 5, 4, 3, 7, 4, 3, 3, 5, 4, 4, 6, 3, 4, 3, 5, 8, 4, 5, 4, 3, 5, 4, 3, 6, 3, -1 4, 6, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 6, 5, 7, 5, 7, 5, 3, 5, 5, 5, 4, 5, 4, 1, 4, 2, 6, 6, 3, 5, 5, 2, 6, 1, 3, 6, 3, 5, 3, 4, 5, 4, 6, 4, 6, 6, 3, 5, 4, 6, 4, 4, 5, 8, 2, 6, 3, 5, 6, 6, 5, 4, 3, 3, 6, 7, 5, 4, 6, 3, 3, 3, 3, 2, 3, 5, 2, 4, 5, 6, 4, 5, 5, 5, 3, 5, 8, 4, 3, 6, 4, 3, 4, 6, 4, 3, 4, 5, 2, 5, 3, 4, 6, 5, 2, 3, 4, 5, 5, 6, 5, 3, 4, 5, 4, 5, 4, 3, 4, 6, 2, 4, 4, 5, 5, 6, 4, 4, 4, 6, 5, 3, 5, 0, 6, 5, 3, 3, 6, 5, 5, 5, 6, 2, 6, 4, 8, 5, 4, 4, 6, 5, 6, 5, 5, 6, 5, 5, 4, 6, 5, 2, 3, 7, 5, 6, 2, 3, 6, 3, 7, 5, 4, 6, 6, 2, 7, 6, 4, 3, 4, 4, 4, 5, 3, 7, 4, 4, 3, 3, 3, 5, 4, 6, 4, 4, 1, 4, 4, 5, 5, 3, 4, 5, 5, 2, 4, 2, 3, 5, 3, 3, 5, 5, 1, 3, 4, 9, 3, 6, 4, 6, 4, 6, 6, 4, 7, 4, 2, 6, 4, 6, 3, 4, 5, 3, 3, 4, 5, 5, 7, 6, 6, 4, 2, 4, 5, 4, 5, 2, 6, 4, 3, 2, 4, 6, 3, 3, 3, 4, 2, 3, 3, 5, 4, 5, 4, 3, 5, 5, 2, 4, 5, 4, 7, 6, 6, 5, 6, 5, 6, 7, 3, 8, 1, 4, 6, 5, 2, 2, 2, 2, 5, 4, 5, 2, 6, 6, 4, 2, 4, 4, 5, 5, 4, 4, 5, 6, 2, 3, 3, 4, 5, 4, 6, 2, 5, 6, 8, 6, 6, 6, 3, 5, 3, 4, 4, 4, 5, 2, 4, 5, 6, 3, 5, 3, 3, 6, 9, 4, 3, 4, 5, 3, 5, 5, 5, 9, 4, 5, 5, 3, 6, 6, 6, 5, 5, 5, 3, 6, 2, 5, 5, 5, 4, 6, 3, 4, 4, 2, 5, 4, 5, 7, 5, 6, 5, 7, 6, 2, 4, 5, 5, 2, 2, 4, 4, 4, 6, 4, 7, 6, 5, 5, 7, 3, 5, 5, 2, 2, 5, 7, 6, 4, 6, 4, 3, 1, 2, 5, 3, 5, 3, 5, 3, 4, 4, 4, 6, 2, 4, 4, 7, 6, 3, 5, 4, 4, 4, 5, 6, 5, 4, 5, 3, 5, 4, 3, 5, 6, 5, 4, 4, 5, 5, 4, 3, 5, 2, 3, 7, 5, 2, 2, 4, 5, 7, 9, 8, 4, 4, 6, 5, 4, 4, 5, 5, 3, 5, 6, 4, 4, 5, 4, 3, 5, 4, 4, 2, 6, 5, 4, 4, 5, 4, 4, 6, 5, 3, 4, 6, 5, 4, 5, 1, 6, 4, 1 5, 3, 4, 4, 2, 4, 6, 4, 4, 2, 4, 4, 5, 5, 2, 6, 3, 3, 6, 6, 3, 4, 4, 5, 3, 5, 4, 4, 6, 3, 6, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 5, 5, 6, 3, 3, 4, 5, 4, 4, 4, 4, 4, 6, 4, 3, 4, 6, 4, 6, 5, 3, 4, 4, 6, 3, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 6, 6, 5, 2, 4, 5, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 5, 6, 5, 5, 3, 4, 5, 6, 7, 5, 8, 3, 4, 5, 3, 6, 2, 4, 7, 3, 2, 4, 4, 5, 7, 7, 3, 3, 5, 5, 6, 6, 8, 3, 7, 3, 5, 2, 5, 4, 3, 2, 4, 6, 5, 4, 4, 5, 4, 3, 5, 5, 6, 4, 4, 5, 5, 4, 6, 5, 6, 5, 5, 3, 4, 5, 6, 5, 6, 5, 3, 5, 5, 5, 4, 2, 5, 6, 6, 4, 5, 6, 5, 4, 4, 6, 5, 6, 5, 3, 4, 3, 6, 4, 4, 6, 4, 2, 5, 6, 5, 6, 2, 4, 7, 3, 6, 4, 5, 6, 4, 4, 4, 4, 5, 3, 6, 6, 3, 5, 5, 2, 9, 2, 7, 3, 6, 6, 4, 3, 4, 6, 6, 2, 6, 3, 7, 2, 5, 6, 3, 2, 6, 4, 3, 4, 4, 8, 7, 5, 6, 4, 7, 6, 6, 6, 3, 3, 2, 4, 4, 5, 5, 5, 7, 3, 4, 6, 6, 3, 6, 4, 4, 4, 8, 3, 4, 7, 7, 6, 4, 5, 5, 5, 5, 4, 4, 5, 4, 6, 6, 3, 6, 5, 4, 5, 6, 4, 4, 4, 3, 5, 5, 3, 4, 3, 2, 6, 4, 6, 6, 5, 3, 4, 2, 4, 4, 5, 4, 2, 6, 5, 3, 6, 5, 4, 6, 7, 4, 6, 4, 5, 4, 4, 4, 3, 6, 6, 3, 3, 4, 5, 4, 3, 5, 4, 6, 4, 3, 6, 2, 7, 5, 4, 4, 5, 4, 3, 5, 8, 5, 6, 4, 3, 6, 5, 4, 5, 3, 4, 7, 4, 3, 5, 5, 3, 8, 6, 5, 5, 3, 6, 4, 4, 5, 4, 4, 6, 5, 4, 3, 4, 4, 6, 5, 4, 3, 3, 4, 3, 4, 7, 2, 4, 5, 8, 5, 6, 5, 4, 3, 7, 5, 2, 4, 5, 2, 4, 5, 6, 3, 3, 6, 6, 5, 4, 5, 3, 7, 3, 4, 3, 6, 4, 4, 5, 4, 3, 6, 5, 6, 4, 6, 5, 5, 4, 4, 7, 5, 2, 5, 6, 4, 6, 5, 7, 3, 2, 5, 3, 6, 4, 5, 5, 2, 5, 4, 5, 6, 5, 4, 6, 6, 3, 5, 4, 4, 3, 5, 7, 4, 3, 5, 4, 6, 5, 7, 4, 6, 3, 2, 2, 2, 6, 7, 6, 5, 4, 3, 5, 3, 5, 1 5, 4, 5, 5, 4, 4, 4, 5, 2, 4, 5, 5, 5, 4, 8, 4, 5, 4, 4, 5, 9, 7, 5, 4, 4, 6, 4, 4, 7, 2, 4, 4, 5, 4, 5, 5, 5, 6, 4, 5, 5, 3, 4, 4, 8, 4, 5, 4, 5, 3, 6, 1, 4, 4, 5, 4, 4, 6, 5, 5, 7, 3, 2, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 6, 3, 6, 4, 4, 7, 5, 7, 3, 3, 5, 5, 5, 5, 5, 5, 6, 7, 5, 5, 4, 3, 5, 7, 5, 2, 3, 4, 5, 3, 5, 3, 7, 5, 4, 4, 5, 5, 6, 4, 4, 3, 5, 7, 1, 5, 4, 7, 3, 4, 3, 6, 1, 6, 5, 7, 9, 2, 5, 4, 4, 3, 2, 6, 4, 4, 4, 4, 4, 4, 4, 3, 7, 4, 5, 7, 6, 5, 5, 6, 4, 6, 4, 3, 3, 6, 5, 3, 4, 3, 4, 6, 3, 7, 4, 4, 3, 5, 4, 6, 4, 4, 6, 4, 3, 6, 6, 5, 3, 5, 6, 4, 4, 4, 4, 6, 4, 8, 4, 5, 3, 3, 5, 2, 5, 5, 1, 2, 7, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 6, 5, 4, 7, 5, 4, 5, 5, 1, 2, 6, 1, 6, 4, 6, 5, 3, 6, 5, 3, 4, 7, 3, 3, 3, 4, 6, 4, 3, 6, 3, 4, 5, 3, 6, 5, 2, 3, 6, 5, 2, 5, 5, 6, 3, 6, 6, 4, 4, 4, 4, 7, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 6, 5, 4, 6, 7, 4, 5, 4, 3, 5, 5, 4, 5, 6, 5, 6, 5, 4, 2, 4, 4, 3, 5, 3, 5, 5, 5, 5, 2, 1, 3, 1, 4, 6, 3, 4, 5, 5, 4, 2, 4, 5, 4, 5, 6, 4, 5, 6, 6, 4, 2, 4, 6, 6, 5, 7, 6, 6, 4, 2, 6, 4, 1, 6, 2, 5, 5, 5, 6, 4, 3, 5, 5, 6, 5, 4, 4, 1, 2, 5, 5, 5, 3, 4, 0, 4, 4, 1, 4, 3, 4, 5, 3, 3, 5, 2, 2, 4, 5, 3, 5, 5, 4, 6, 5, 6, 6, 5, 6, 3, 4, 4, 4, 5, 6, 5, 5, 5, 2, 3, 3, 7, 5, 4, 4, 5, 5, 7, 6, 3, 3, 4, 6, 6, 5, 3, 4, 3, 5, 5, 5, 4, 5, 4, 6, 3, 5, 4, 5, 4, 6, 4, 6, 2, 7, 7, 4, 3, 5, 4, 4, 5, 4, 6, 6, 2, 5, 5, 4, 4, 4, 4, 4, 2, 5, 3, 4, 6, 5, 5, 2, 2, 4, 2, 5, 5, 5, 3, 4, 2, 4, 2, 4, 4, 4, 5, 4, 6, 4, 5, 4, 6, 1, 5, 3, 0, 2, 3, 4, 3, 7, 3, 7, 6, 3, 3, 4, 4, 5, 5, 4, 6, 5, 6, 3, 4, 1 3, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 8, 6, 6, 6, 4, 5, 3, 8, 2, 4, 5, 4, 2, 4, 4, 3, 4, 2, 6, 4, 5, 6, 3, 5, 3, 3, 5, 4, 5, 5, 4, 4, 7, 4, 6, 4, 3, 5, 1, 4, 6, 5, 3, 4, 7, 6, 4, 3, 5, 5, 4, 4, 5, 7, 4, 5, 2, 5, 3, 5, 3, 5, 4, 6, 5, 3, 4, 5, 4, 4, 7, 3, 5, 4, 2, 5, 4, 5, 4, 3, 5, 3, 6, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 6, 5, 5, 5, 5, 1, 4, 6, 4, 2, 4, 6, 5, 5, 3, 3, 3, 5, 6, 5, 5, 7, 6, 3, 3, 4, 4, 4, 5, 3, 7, 5, 6, 2, 5, 3, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 6, 5, 5, 5, 3, 6, 4, 4, 8, 5, 7, 7, 4, 1, 4, 6, 5, 4, 6, 6, 5, 4, 4, 4, 4, 5, 4, 6, 5, 5, 3, 4, 3, 3, 4, 2, 3, 5, 6, 4, 4, 4, 9, 6, 3, 3, 4, 3, 6, 3, 7, 5, 4, 5, 4, 5, 5, 4, 4, 5, 6, 6, 4, 5, 5, 7, 5, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 2, 6, 3, 4, 4, 3, 4, 5, 6, 5, 1, 4, 4, 2, 3, 5, 3, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 5, 2, 3, 6, 5, 6, 3, 5, 4, 7, 3, 6, 5, 6, 4, 5, 3, 5, 4, 5, 5, 3, 9, 6, 5, 5, 3, 4, 5, 5, 5, 4, 3, 4, 5, 8, 7, 5, 6, 6, 6, 3, 7, 2, 4, 4, 4, 4, 6, 7, 2, 2, 7, 6, 7, 3, 6, 4, 5, 6, 5, 5, 5, 6, 3, 5, 4, 5, 4, 5, 6, 6, 2, 3, 5, 5, 4, 4, 5, 6, 3, 4, 6, 5, 6, 3, 3, 5, 4, 2, 6, 6, 6, 5, 6, 5, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 6, 2, 4, 6, 2, 5, 6, 5, 6, 3, 3, 5, 5, 6, 5, 5, 5, 2, 4, 3, 6, 6, 3, 5, 5, 5, 2, 6, 2, 7, 3, 5, 6, 7, 5, 6, 3, 3, 4, 4, 3, 4, 4, 4, 5, 6, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 7, 6, 3, 3, 3, 3, 6, 6, 5, 2, 6, 7, 3, 4, 5, 3, 5, 3, 3, 7, 7, 2, 6, 6, 6, 3, 6, 4, 4, 6, 7, 3, 4, 3, 6, 4, 6, 5, 4, 3, 6, 3, 7, 4, 6, 4, 4, 3, 4, 5, 5, 6, 4, 7, 5, 3, 5, 2, -1 5, 4, 6, 4, 4, 2, 5, 6, 5, 5, 5, 3, 4, 6, 4, 3, 5, 5, 2, 3, 5, 6, 6, 3, 4, 3, 4, 4, 7, 4, 4, 5, 3, 5, 5, 5, 6, 6, 7, 4, 5, 3, 3, 3, 2, 6, 2, 4, 9, 5, 3, 6, 4, 5, 5, 4, 7, 3, 5, 4, 4, 5, 4, 3, 7, 5, 5, 4, 3, 2, 5, 5, 6, 4, 5, 4, 2, 3, 6, 3, 4, 5, 4, 6, 2, 4, 5, 3, 5, 5, 4, 3, 3, 4, 5, 3, 4, 5, 8, 4, 5, 5, 5, 6, 4, 6, 3, 2, 4, 6, 4, 4, 5, 6, 3, 6, 3, 3, 0, 1, 1, 5, 3, 2, 7, 2, 6, 4, 7, 5, 3, 4, 3, 8, 5, 8, 3, 3, 5, 3, 4, 3, 0, 6, 5, 6, 3, 5, 4, 5, 4, 6, 8, 6, 4, 3, 6, 5, 4, 4, 6, 5, 3, 6, 6, 5, 5, 3, 2, 3, 8, 4, 5, 3, 4, 5, 3, 5, 3, 4, 4, 4, 3, 7, 3, 5, 4, 3, 4, 5, 3, 3, 2, 3, 2, 4, 4, 4, 3, 4, 5, 3, 4, 5, 3, 4, 3, 3, 4, 4, 5, 3, 5, 5, 5, 8, 6, 3, 3, 4, 5, 4, 5, 3, 5, 4, 7, 5, 6, 5, 5, 4, 4, 5, 6, 3, 5, 5, 4, 4, 4, 1, 4, 3, 6, 2, 5, 4, 3, 3, 4, 3, 4, 3, 5, 3, 3, 5, 5, 4, 4, 3, 5, 6, 4, 4, 4, 5, 3, 4, 4, 6, 4, 1, 4, 5, 4, 6, 5, 5, 3, 7, 4, 3, 3, 5, 6, 3, 4, 2, 4, 5, 4, 2, 6, 8, 3, 4, 5, 5, 5, 8, 4, 3, 1, 3, 2, 5, 5, 7, 4, 6, 0, 3, 3, 4, 4, 1, 7, 3, 4, 5, 1, 4, 5, 3, 6, 2, 4, 4, 2, 2, 5, 4, 5, 3, 7, 3, 4, 5, 6, 2, 3, 3, 5, 5, 1, 5, 2, 6, 3, 5, 3, 5, 5, 5, 5, 4, 5, 6, 3, 4, 5, 5, 4, 7, 4, 4, 5, 6, 1, 2, 5, 6, 3, 6, 5, 6, 9, 4, 3, 5, 3, 5, 4, 4, 4, 2, 2, 4, 4, 5, 5, 4, 2, 6, 7, 6, 2, 4, 2, 4, 6, 4, 3, 7, 5, 8, 3, 7, 3, 4, 4, 5, 4, 5, 1, 7, 5, 6, 2, 5, 4, 4, 4, 5, 5, 3, 5, 5, 7, 5, 4, 7, 4, 6, 1, 4, 7, 5, 5, 5, 4, 6, 4, 6, 5, 4, 5, 6, 4, 7, 4, 8, 3, 4, 2, 2, 3, 8, 6, 3, 6, 5, 6, 3, 5, 3, 5, 6, 3, 5, 4, 4, 4, 1, 3, 3, 5, 4, 5, 4, 6, 7, 5, 2, 5, 4, 4, 6, 7, 3, 7, 7, 7, 5, 7, 4, 5, 4, -1 5, 3, 3, 5, 5, 4, 7, 5, 4, 6, 4, 4, 5, 4, 4, 4, 5, 4, 4, 6, 6, 2, 5, 6, 6, 5, 5, 4, 3, 2, 5, 4, 4, 4, 3, 7, 4, 3, 3, 2, 3, 4, 3, 3, 7, 3, 3, 2, 4, 5, 7, 3, 2, 1, 1, 8, 3, 4, 4, 4, 5, 3, 4, 6, 2, 5, 4, 4, 4, 5, 9, 5, 2, 4, 5, 4, 4, 3, 3, 4, 3, 6, 4, 4, 3, 4, 7, 4, 4, 6, 4, 5, 2, 2, 1, 6, 2, 4, 7, 5, 3, 6, 4, 5, 3, 6, 4, 7, 4, 7, 5, 4, 7, 5, 2, 4, 3, 3, 3, 3, 3, 5, 4, 3, 5, 6, 2, 5, 6, 5, 2, 3, 4, 3, 4, 4, 5, 4, 4, 6, 3, 7, 3, 2, 3, 5, 3, 6, 4, 6, 5, 5, 4, 6, 5, 3, 5, 1, 5, 3, 4, 7, 6, 6, 4, 4, 7, 5, 3, 4, 3, 5, 4, 3, 4, 5, 5, 7, 4, 2, 4, 7, 5, 5, 2, 1, 6, 4, 3, 5, 4, 2, 5, 4, 3, 2, 5, 6, 3, 8, 5, 8, 4, 7, 4, 3, 3, 4, 5, 0, 7, 6, 6, 5, 5, 6, 3, 6, 5, 4, 4, 2, 6, 3, 5, 1, 4, 4, 6, 4, 7, 4, 4, 5, 5, 3, 6, 3, 4, 7, 4, 7, 2, 5, 6, 6, 4, 4, 4, 7, 3, 6, 6, 2, 2, 5, 3, 5, 5, 6, 4, 4, 5, 5, 3, 2, 7, 5, 5, 4, 4, 0, 7, 4, 3, 4, 4, 4, 7, 6, 3, 6, 5, 3, 5, 4, 6, 3, 4, 1, 3, 4, 5, 5, 4, 2, 4, 4, 3, 5, 7, 6, 6, 3, 3, 7, 4, 4, 5, 6, 5, 4, 7, 3, 7, 2, 2, 6, 3, 6, 3, 5, 5, 6, 3, 5, 4, 6, 5, 1, 6, 6, 5, 2, 5, 6, 2, 3, 1, 3, 7, 5, 5, 4, 3, 4, 2, 2, 5, 3, 4, 3, 3, 3, 2, 6, 5, 6, 1, 7, 4, 3, 3, 5, 7, 2, 5, 5, 5, 3, 3, 3, 6, 5, 6, 6, 4, 3, 4, 6, 3, 3, 3, 5, 3, 5, 6, 2, 6, 5, 5, 4, 4, 5, 3, 5, 3, 5, 4, 4, 5, 2, 4, 4, 5, 6, 6, 5, 2, 5, 6, 3, 2, 4, 6, 2, 5, 5, 4, 4, 7, 2, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 7, 7, 2, 1, 7, 5, 6, 4, 4, 5, 3, 3, 3, 5, 3, 6, 7, 2, 3, 6, 6, 3, 3, 4, 3, 6, 6, 3, 2, 6, 3, 3, 3, 7, 3, 5, 5, 6, 4, 4, 4, 4, 7, 1, 3, 5, 6, 2, 4, 5, 5, 6, 2, 2, 4, 5, 3, 3, 2, 5, 6, 6, 5, 4, 3, 4, 3, 1 5, 5, 5, 6, 3, 2, 6, 4, 4, 4, 7, 3, 5, 5, 6, 5, 7, 5, 5, 2, 5, 4, 5, 5, 3, 3, 5, 3, 6, 6, 4, 4, 3, 6, 5, 6, 4, 4, 4, 4, 3, 6, 5, 8, 4, 5, 4, 4, 4, 3, 1, 2, 3, 6, 4, 6, 6, 2, 3, 4, 6, 6, 5, 2, 5, 6, 4, 5, 5, 7, 1, 5, 4, 4, 6, 4, 4, 6, 4, 6, 3, 4, 2, 3, 5, 5, 4, 3, 5, 3, 7, 5, 6, 5, 3, 5, 4, 6, 3, 4, 5, 4, 4, 5, 4, 4, 6, 4, 4, 2, 7, 3, 2, 3, 3, 3, 3, 2, 5, 2, 4, 2, 6, 4, 4, 4, 7, 6, 4, 6, 3, 6, 3, 5, 4, 2, 5, 2, 4, 6, 1, 6, 6, 5, 2, 5, 5, 4, 6, 7, 3, 3, 6, 4, 5, 6, 3, 4, 4, 2, 3, 6, 4, 4, 3, 7, 3, 4, 6, 4, 5, 5, 4, 6, 7, 2, 5, 3, 4, 4, 4, 3, 5, 3, 5, 4, 6, 6, 5, 4, 6, 4, 1, 2, 4, 4, 5, 4, 5, 4, 9, 5, 6, 7, 8, 4, 5, 4, 4, 4, 6, 5, 1, 4, 6, 3, 2, 4, 2, 6, 2, 2, 4, 4, 6, 5, 5, 4, 6, 6, 5, 4, 5, 5, 3, 4, 3, 6, 5, 5, 7, 5, 6, 6, 4, 5, 2, 8, 4, 7, 5, 5, 5, 4, 4, 7, 3, 3, 6, 5, 5, 3, 3, 5, 4, 5, 4, 7, 3, 6, 7, 5, 6, 1, 4, 6, 4, 4, 6, 4, 7, 4, 4, 4, 2, 5, 5, 4, 3, 4, 7, 2, 4, 7, 6, 6, 4, 2, 6, 2, 5, 3, 4, 5, 4, 7, 3, 5, 3, 6, 4, 3, 6, 3, 0, 5, 5, 8, 7, 6, 5, 5, 2, 5, 6, 6, 5, 3, 6, 2, 4, 2, 4, 4, 3, 6, 5, 4, 4, 7, 5, 4, 6, 7, 2, 6, 3, 5, 4, 7, 5, 5, 5, 7, 4, 4, 2, 3, 3, 2, 8, 4, 4, 3, 5, 5, 3, 3, 3, 4, 5, 4, 3, 4, 4, 6, 4, 3, 4, 1, 5, 5, 4, 5, 4, 6, 6, 7, 5, 5, 5, 5, 5, 4, 7, 3, 4, 5, 4, 5, 7, 3, 7, 3, 5, 4, 6, 4, 2, 5, 6, 2, 6, 4, 6, 3, 4, 5, 6, 4, 5, 7, 5, 7, 4, 7, 4, 3, 3, 5, 4, 2, 4, 4, 5, 5, 6, 1, 3, 3, 3, 4, 3, 6, 3, 4, 6, 4, 5, 3, 5, 6, 1, 3, 5, 6, 5, 7, 1, 6, 5, 5, 4, 5, 5, 3, 3, 5, 3, 5, 7, 6, 3, 4, 2, 5, 6, 6, 5, 4, 4, 4, 7, 7, 6, 5, 3, 6, 2, 5, 5, 4, 6, 2, 4, 4, 4, 3, 7, 6, -1 4, 5, 3, 3, 3, 3, 5, 5, 7, 5, 4, 3, 6, 7, 3, 4, 5, 5, 6, 1, 4, 5, 5, 6, 3, 4, 5, 4, 7, 2, 4, 7, 3, 6, 7, 4, 1, 4, 5, 3, 5, 4, 4, 3, 6, 3, 6, 4, 5, 4, 4, 5, 6, 4, 1, 4, 5, 4, 1, 4, 5, 6, 3, 1, 4, 4, 6, 7, 6, 3, 3, 6, 3, 4, 5, 6, 4, 5, 5, 7, 4, 4, 5, 4, 3, 4, 5, 5, 3, 7, 4, 4, 4, 5, 7, 3, 4, 4, 3, 6, 4, 4, 4, 6, 4, 5, 8, 4, 4, 6, 4, 6, 4, 7, 1, 4, 4, 4, 6, 6, 3, 2, 6, 5, 5, 7, 4, 5, 6, 5, 4, 5, 4, 7, 5, 8, 7, 3, 2, 6, 1, 5, 4, 4, 3, 3, 2, 8, 4, 7, 4, 5, 6, 3, 7, 5, 5, 5, 5, 6, 5, 4, 7, 6, 4, 4, 6, 3, 6, 6, 5, 6, 4, 2, 4, 4, 4, 5, 7, 4, 5, 1, 0, 4, 4, 6, 4, 4, 4, 6, 4, 5, 2, 3, 5, 4, 4, 3, 6, 4, 4, 4, 5, 7, 5, 4, 5, 8, 5, 3, 4, 4, 5, 3, 3, 3, 4, 4, 7, 3, 3, 6, 2, 2, 4, 6, 5, 4, 4, 9, 5, 5, 4, 4, 4, 3, 5, 5, 4, 6, 4, 6, 5, 6, 6, 5, 4, 5, 3, 5, 6, 6, 4, 4, 4, 3, 3, 4, 6, 5, 6, 4, 4, 4, 2, 5, 6, 3, 3, 5, 3, 4, 6, 1, 5, 5, 7, 7, 7, 6, 5, 3, 7, 5, 6, 5, 5, 6, 6, 7, 7, 4, 3, 4, 4, 3, 3, 4, 6, 5, 3, 4, 3, 4, 5, 4, 2, 7, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 7, 6, 5, 7, 3, 1, 4, 7, 5, 5, 5, 5, 3, 5, 5, 4, 3, 2, 3, 3, 4, 6, 5, 1, 4, 3, 4, 6, 4, 7, 6, 4, 6, 2, 5, 5, 4, 5, 3, 4, 5, 5, 7, 4, 5, 2, 5, 4, 4, 4, 4, 6, 5, 5, 6, 4, 6, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 2, 3, 7, 6, 5, 2, 6, 5, 5, 4, 5, 3, 5, 7, 5, 4, 5, 3, 4, 6, 3, 4, 5, 3, 3, 6, 4, 3, 6, 4, 6, 3, 4, 3, 1, 1, 6, 6, 4, 3, 7, 4, 4, 7, 9, 4, 3, 6, 3, 3, 1, 2, 2, 3, 6, 6, 5, 7, 4, 3, 4, 5, 6, 6, 6, 4, 5, 5, 4, 1, 6, 2, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 7, 4, 4, 6, 4, 6, 4, 5, 3, 5, 6, 4, 2, 7, 2, 4, 2, 6, 4, 7, 5, 1 7, 5, 5, 4, 3, 5, 3, 3, 4, 5, 3, 4, 6, 3, 4, 4, 4, 5, 5, 5, 5, 6, 7, 5, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 6, 4, 5, 2, 5, 4, 7, 3, 5, 3, 5, 5, 3, 6, 6, 7, 3, 5, 2, 3, 3, 5, 4, 5, 5, 6, 5, 3, 7, 2, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 5, 7, 5, 5, 4, 3, 5, 2, 4, 4, 2, 6, 5, 4, 7, 7, 1, 6, 5, 5, 6, 7, 4, 3, 5, 5, 5, 4, 6, 5, 5, 7, 3, 4, 6, 3, 4, 5, 5, 6, 6, 5, 3, 6, 5, 5, 2, 6, 4, 3, 5, 5, 4, 6, 6, 4, 2, 5, 5, 5, 4, 5, 5, 3, 6, 2, 4, 4, 7, 6, 3, 4, 3, 7, 6, 2, 2, 6, 6, 5, 3, 4, 6, 4, 6, 9, 5, 6, 1, 5, 2, 6, 6, 3, 3, 4, 5, 5, 3, 6, 7, 6, 5, 3, 6, 6, 4, 4, 4, 5, 3, 6, 6, 6, 5, 4, 6, 3, 7, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 5, 4, 6, 4, 5, 4, 3, 3, 1, 5, 3, 4, 4, 2, 3, 6, 4, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 1, 3, 7, 4, 6, 3, 3, 5, 6, 5, 6, 5, 4, 1, 4, 5, 3, 4, 5, 2, 3, 2, 3, 8, 4, 3, 5, 2, 5, 5, 2, 1, 3, 7, 6, 6, 5, 6, 3, 4, 4, 3, 7, 6, 7, 8, 5, 4, 5, 7, 4, 5, 6, 4, 5, 3, 2, 5, 3, 4, 5, 6, 3, 5, 4, 6, 7, 3, 3, 3, 2, 4, 5, 2, 3, 3, 4, 5, 1, 4, 4, 3, 6, 2, 6, 3, 4, 5, 4, 6, 4, 6, 4, 4, 4, 4, 2, 3, 5, 4, 4, 2, 4, 5, 5, 3, 4, 2, 4, 6, 1, 5, 5, 5, 5, 4, 5, 2, 6, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 2, 3, 2, 3, 4, 2, 5, 4, 4, 4, 7, 4, 6, 5, 3, 4, 4, 3, 6, 6, 6, 6, 3, 6, 5, 5, 4, 7, 4, 3, 4, 4, 6, 5, 3, 1, 4, 5, 8, 6, 5, 5, 4, 4, 2, 6, 5, 5, 4, 6, 4, 7, 5, 5, 7, 2, 7, 3, 7, 4, 5, 7, 5, 4, 4, 5, 1, 5, 5, 4, 6, 5, 3, 5, 6, 5, 5, 3, 4, 4, 7, 6, 6, 5, 4, 4, 3, 5, 4, 4, 6, 3, 5, 3, 5, 4, 7, 5, 4, 3, 5, 3, 5, 5, 5, 3, 3, 4, 4, 5, 4, 4, 1, 4, 5, 4, 4, 5, 6, 4, 5, 1 2, 7, 4, 4, 4, 5, 6, 5, 2, 5, 5, 6, 5, 3, 8, 4, 6, 6, 5, 6, 6, 4, 5, 4, 3, 2, 4, 6, 3, 4, 5, 4, 3, 2, 4, 5, 6, 6, 5, 6, 6, 2, 5, 4, 6, 4, 4, 5, 4, 5, 5, 6, 3, 4, 6, 4, 3, 5, 3, 4, 6, 3, 4, 0, 5, 4, 4, 5, 4, 7, 7, 7, 3, 3, 3, 4, 5, 6, 4, 4, 3, 3, 4, 4, 3, 5, 5, 6, 5, 4, 4, 2, 4, 8, 3, 2, 5, 5, 4, 7, 4, 8, 4, 4, 4, 4, 5, 3, 7, 6, 3, 5, 4, 6, 5, 4, 4, 4, 7, 4, 4, 7, 4, 7, 3, 4, 0, 7, 4, 4, 3, 3, 4, 6, 3, 4, 5, 4, 3, 7, 4, 3, 8, 3, 7, 4, 5, 7, 5, 7, 6, 6, 5, 4, 5, 5, 4, 6, 3, 4, 4, 3, 8, 4, 5, 5, 4, 5, 3, 5, 4, 5, 6, 4, 3, 1, 4, 2, 5, 5, 4, 3, 4, 3, 6, 3, 5, 3, 7, 4, 5, 5, 6, 3, 5, 5, 2, 6, 5, 2, 7, 7, 2, 4, 5, 3, 4, 5, 2, 6, 3, 3, 5, 1, 5, 6, 3, 4, 4, 5, 4, 4, 5, 3, 3, 5, 5, 4, 4, 5, 6, 3, 4, 4, 3, 2, 5, 7, 5, 2, 4, 3, 3, 7, 6, 2, 5, 5, 2, 6, 4, 7, 4, 3, 1, 5, 4, 5, 5, 4, 6, 4, 7, 7, 4, 4, 4, 2, 4, 2, 6, 6, 5, 3, 4, 1, 4, 5, 3, 5, 3, 4, 5, 4, 5, 5, 4, 4, 4, 5, 8, 6, 6, 4, 5, 4, 5, 4, 6, 6, 6, 5, 5, 2, 6, 2, 4, 8, 6, 5, 3, 5, 5, 3, 4, 5, 6, 5, 3, 4, 2, 6, 3, 3, 3, 7, 5, 4, 5, 8, 5, 3, 4, 4, 6, 6, 4, 4, 6, 9, 3, 2, 7, 7, 5, 5, 6, 6, 4, 6, 4, 4, 4, 4, 4, 5, 6, 5, 6, 0, 1, 5, 5, 4, 4, 6, 6, 2, 5, 4, 4, 3, 3, 4, 3, 7, 6, 6, 4, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 3, 0, 5, 4, 5, 7, 6, 4, 3, 7, 4, 6, 7, 5, 6, 6, 4, 4, 5, 5, 3, 4, 4, 3, 3, 3, 8, 6, 4, 6, 6, 3, 4, 4, 7, 4, 4, 7, 2, 5, 5, 3, 4, 5, 5, 5, 5, 6, 5, 4, 5, 7, 6, 3, 1, 5, 5, 6, 6, 3, 3, 5, 6, 2, 4, 3, 4, 3, 6, 3, 6, 6, 6, 9, 4, 4, 5, 7, 3, 4, 5, 8, 5, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 7, 6, 3, 3, 4, 3, 5, 6, 6, 5, 4, 5, 5, 4, 1 4, 4, 3, 5, 4, 4, 4, 7, 4, 3, 5, 3, 7, 3, 3, 7, 5, 4, 3, 4, 3, 6, 8, 5, 4, 1, 6, 5, 7, 4, 4, 5, 3, 3, 7, 6, 1, 6, 4, 3, 3, 4, 5, 4, 5, 4, 3, 5, 5, 7, 6, 5, 3, 4, 5, 6, 7, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 2, 5, 5, 5, 6, 4, 4, 6, 6, 3, 4, 5, 4, 4, 6, 3, 5, 6, 4, 7, 6, 3, 5, 4, 4, 4, 2, 7, 7, 6, 3, 5, 7, 3, 5, 4, 3, 3, 4, 6, 8, 3, 5, 5, 5, 3, 7, 4, 2, 4, 2, 5, 4, 4, 4, 5, 3, 6, 7, 5, 6, 4, 7, 4, 3, 2, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 7, 7, 5, 6, 6, 4, 4, 3, 6, 6, 4, 3, 4, 5, 2, 7, 5, 4, 4, 4, 6, 3, 3, 3, 6, 9, 4, 7, 6, 7, 3, 5, 1, 3, 4, 3, 5, 5, 5, 4, 6, 4, 6, 4, 4, 5, 3, 2, 2, 4, 4, 5, 5, 7, 4, 3, 4, 4, 6, 6, 4, 4, 4, 4, 5, 4, 5, 7, 2, 4, 2, 5, 5, 4, 3, 4, 5, 5, 6, 8, 4, 4, 2, 6, 3, 4, 5, 4, 4, 4, 3, 6, 3, 5, 5, 3, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 4, 4, 7, 4, 6, 5, 3, 2, 8, 3, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 6, 4, 4, 8, 1, 5, 6, 6, 4, 4, 5, 5, 6, 5, 6, 4, 5, 5, 5, 5, 5, 6, 7, 5, 4, 4, 5, 4, 6, 6, 7, 3, 5, 7, 5, 5, 3, 6, 5, 7, 5, 5, 3, 5, 4, 5, 4, 6, 4, 4, 7, 5, 3, 7, 3, 5, 4, 5, 3, 4, 4, 6, 3, 3, 2, 3, 3, 2, 3, 4, 5, 6, 0, 5, 5, 3, 4, 3, 5, 5, 6, 5, 7, 4, 3, 3, 3, 5, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 5, 3, 3, 3, 5, 5, 6, 4, 5, 3, 4, 4, 5, 4, 5, 5, 2, 5, 4, 4, 5, 4, 5, 4, 6, 3, 3, 3, 7, 5, 2, 4, 3, 3, 4, 7, 1, 2, 4, 5, 7, 3, 3, 6, 4, 7, 6, 6, 3, 6, 3, 3, 4, 6, 3, 4, 8, 5, 3, 4, 5, 8, 5, 4, 2, 4, 5, 2, 6, 4, 7, 6, 3, 7, 4, 3, 3, 7, 5, 7, 5, 5, 6, 8, 1, 7, 3, 3, 4, 4, 3, 4, 4, 5, 2, 3, 5, 5, 4, 5, 6, 3, 4, 4, 5, 4, 1, 4, 9, 3, 3, 6, 7, 1, 4, 2, 5, 5, 3, 5, 4, 3, 1 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 3, 3, 5, 5, 4, 2, 6, 5, 5, 3, 6, 4, 6, 5, 6, 5, 5, 3, 5, 7, 5, 6, 4, 5, 3, 4, 6, 4, 7, 3, 5, 4, 4, 3, 5, 4, 2, 4, 6, 5, 6, 4, 5, 3, 4, 7, 6, 5, 2, 1, 5, 4, 4, 1, 8, 4, 3, 3, 2, 8, 2, 7, 5, 3, 4, 5, 2, 5, 3, 3, 3, 5, 1, 6, 4, 7, 7, 3, 5, 5, 2, 3, 5, 2, 5, 4, 4, 3, 5, 7, 4, 3, 6, 7, 3, 4, 6, 3, 2, 7, 3, 5, 4, 3, 1, 5, 5, 2, 4, 6, 4, 4, 5, 5, 5, 5, 7, 6, 4, 6, 4, 5, 5, 8, 5, 4, 5, 6, 3, 4, 4, 2, 3, 4, 5, 8, 3, 2, 5, 3, 4, 5, 7, 6, 5, 4, 3, 6, 5, 6, 5, 4, 5, 4, 5, 4, 8, 1, 4, 2, 5, 7, 4, 4, 8, 7, 5, 2, 6, 2, 2, 7, 3, 5, 3, 3, 7, 5, 3, 3, 5, 3, 6, 3, 4, 2, 3, 3, 4, 8, 5, 5, 5, 7, 4, 5, 6, 5, 5, 4, 5, 6, 4, 3, 6, 6, 7, 0, 3, 4, 4, 4, 7, 2, 5, 3, 2, 4, 6, 4, 5, 4, 4, 6, 3, 6, 5, 4, 4, 4, 3, 2, 5, 6, 4, 4, 5, 6, 5, 5, 6, 7, 5, 7, 6, 6, 2, 5, 6, 6, 7, 6, 5, 5, 4, 3, 4, 5, 3, 3, 4, 4, 7, 2, 5, 4, 2, 5, 5, 5, 4, 6, 7, 5, 5, 2, 6, 4, 5, 6, 4, 3, 2, 7, 4, 5, 5, 4, 6, 5, 5, 5, 4, 3, 6, 4, 6, 5, 5, 5, 5, 6, 4, 5, 3, 4, 4, 5, 6, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 7, 5, 5, 3, 4, 4, 8, 4, 5, 6, 1, 8, 6, 5, 3, 5, 4, 5, 5, 4, 6, 3, 4, 6, 3, 6, 3, 5, 3, 6, 1, 4, 6, 5, 3, 4, 4, 6, 4, 1, 4, 5, 5, 5, 3, 7, 3, 8, 6, 5, 3, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 5, 1, 4, 5, 5, 6, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 6, 5, 7, 6, 4, 4, 4, 3, 3, 7, 5, 5, 5, 6, 2, 4, 7, 3, 4, 8, 6, 5, 1, 6, 5, 3, 6, 5, 3, 3, 4, 5, 2, 4, 5, 4, 4, 5, 3, 3, 5, 5, 3, 4, 5, 4, 6, 3, 7, 6, 4, 3, 3, 6, 4, 4, 4, 6, 2, 5, 4, 5, 5, 4, 3, 3, 4, 6, 2, 3, 5, 4, 4, 3, 4, 4, 5, 6, 4, 5, 5, 3, 6, 4, 7, 5, 5, 4, 5, 6, 5, 5, 3, -1 2, 6, 4, 5, 3, 3, 5, 3, 5, 5, 4, 5, 7, 5, 4, 5, 4, 4, 4, 3, 4, 6, 4, 5, 5, 3, 1, 4, 5, 6, 7, 4, 3, 6, 7, 7, 5, 6, 4, 5, 4, 3, 6, 3, 3, 3, 4, 2, 7, 3, 5, 5, 6, 5, 4, 3, 5, 7, 6, 4, 6, 5, 3, 6, 3, 4, 7, 4, 4, 5, 4, 3, 2, 6, 3, 0, 6, 6, 4, 5, 3, 5, 4, 5, 3, 4, 5, 4, 3, 7, 7, 6, 4, 6, 6, 6, 3, 9, 1, 3, 5, 6, 4, 5, 2, 7, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 6, 4, 4, 4, 6, 5, 3, 6, 4, 4, 4, 5, 7, 6, 3, 3, 5, 5, 7, 5, 3, 5, 4, 4, 2, 8, 6, 4, 3, 5, 3, 5, 5, 8, 7, 3, 6, 3, 5, 3, 1, 3, 4, 6, 7, 3, 6, 4, 3, 3, 6, 3, 4, 4, 6, 2, 6, 6, 3, 4, 5, 5, 5, 2, 3, 3, 1, 4, 5, 5, 3, 6, 5, 6, 6, 3, 4, 6, 5, 4, 3, 3, 4, 3, 5, 5, 2, 5, 3, 4, 4, 2, 1, 3, 4, 3, 4, 3, 3, 5, 5, 2, 6, 3, 6, 6, 1, 6, 4, 3, 5, 5, 8, 4, 6, 5, 4, 4, 6, 3, 7, 5, 7, 5, 6, 6, 4, 4, 4, 2, 3, 8, 3, 6, 4, 6, 5, 2, 5, 4, 5, 3, 5, 3, 5, 7, 4, 4, 3, 3, 6, 5, 6, 3, 4, 2, 6, 3, 3, 4, 4, 5, 3, 2, 6, 3, 5, 4, 5, 5, 3, 1, 3, 5, 7, 3, 2, 5, 4, 6, 7, 4, 4, 6, 4, 5, 4, 5, 5, 6, 6, 6, 5, 6, 6, 3, 6, 6, 5, 4, 6, 2, 6, 4, 4, 7, 5, 3, 5, 4, 7, 5, 8, 4, 2, 4, 4, 6, 6, 5, 2, 6, 4, 3, 5, 3, 6, 3, 3, 5, 4, 6, 5, 5, 5, 3, 4, 7, 6, 3, 5, 6, 4, 4, 4, 6, 5, 6, 4, 6, 3, 5, 6, 8, 4, 5, 5, 1, 2, 5, 5, 3, 7, 4, 3, 5, 6, 7, 4, 7, 6, 4, 3, 3, 7, 3, 4, 5, 3, 5, 6, 6, 5, 3, 7, 4, 3, 5, 1, 5, 5, 7, 2, 5, 5, 4, 5, 4, 3, 5, 4, 4, 3, 4, 6, 4, 3, 7, 3, 1, 5, 7, 5, 7, 6, 2, 5, 3, 6, 3, 5, 3, 5, 5, 7, 4, 5, 3, 2, 6, 4, 7, 3, 4, 7, 5, 2, 5, 5, 3, 2, 2, 8, 3, 5, 7, 5, 4, 5, 5, 3, 4, 2, 6, 3, 4, 4, 4, 4, 6, 3, 4, 3, 6, 6, 5, 5, 6, 6, 5, 4, 4, 3, 5, 7, 2, 4, 4, 4, 3, 5, 4, 3, 5, 1 5, 2, 4, 2, 4, 4, 5, 6, 4, 4, 4, 4, 5, 4, 4, 3, 3, 7, 4, 3, 5, 5, 3, 4, 6, 3, 4, 6, 4, 5, 5, 5, 4, 3, 7, 5, 6, 5, 5, 2, 4, 3, 5, 7, 3, 4, 4, 4, 7, 6, 7, 4, 6, 3, 4, 6, 4, 4, 6, 2, 5, 2, 2, 4, 6, 5, 4, 6, 4, 7, 6, 6, 4, 4, 6, 4, 5, 7, 3, 5, 6, 4, 7, 5, 4, 3, 2, 6, 5, 4, 2, 2, 3, 5, 3, 5, 6, 6, 5, 5, 4, 5, 3, 6, 6, 5, 7, 4, 4, 5, 3, 4, 6, 3, 3, 1, 6, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 6, 5, 2, 5, 5, 4, 6, 3, 6, 7, 6, 4, 5, 4, 4, 2, 3, 6, 2, 5, 6, 6, 4, 3, 6, 7, 5, 4, 5, 6, 3, 3, 5, 4, 6, 4, 4, 4, 6, 1, 3, 3, 5, 3, 4, 7, 6, 4, 5, 5, 4, 6, 6, 7, 4, 5, 6, 3, 6, 5, 4, 4, 5, 5, 2, 3, 3, 3, 3, 4, 6, 4, 5, 4, 5, 8, 4, 5, 4, 4, 4, 5, 1, 3, 5, 3, 4, 6, 3, 4, 5, 7, 4, 2, 6, 4, 3, 4, 5, 4, 6, 4, 3, 3, 4, 3, 2, 5, 4, 5, 4, 5, 3, 5, 5, 3, 6, 4, 5, 4, 5, 6, 4, 5, 3, 2, 6, 5, 3, 4, 5, 5, 5, 5, 3, 6, 6, 2, 8, 4, 1, 2, 4, 5, 6, 5, 5, 5, 7, 4, 3, 6, 4, 7, 5, 5, 3, 6, 6, 3, 6, 3, 6, 7, 3, 3, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 6, 5, 3, 6, 5, 5, 2, 4, 3, 5, 2, 3, 5, 5, 4, 5, 5, 4, 3, 5, 3, 3, 5, 5, 8, 4, 2, 2, 2, 7, 5, 4, 6, 5, 3, 4, 6, 5, 4, 4, 4, 2, 3, 5, 2, 5, 3, 3, 4, 7, 6, 4, 3, 6, 6, 4, 3, 2, 5, 4, 6, 9, 4, 5, 4, 3, 2, 3, 5, 4, 0, 5, 6, 3, 7, 5, 2, 4, 3, 4, 2, 5, 3, 1, 4, 9, 6, 6, 3, 4, 3, 5, 5, 4, 5, 2, 4, 5, 5, 7, 3, 5, 6, 4, 2, 4, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 6, 4, 5, 6, 4, 7, 3, 4, 4, 6, 5, 7, 5, 5, 5, 4, 4, 4, 4, 2, 3, 7, 6, 4, 4, 8, 5, 6, 6, 4, 7, 6, 3, 6, 3, 2, 4, 6, 3, 5, 3, 4, 4, 6, 4, 3, 5, 5, 4, 0, 3, 5, 4, 5, 5, 5, 3, 3, 4, 2, 7, 4, 4, 3, 2, 4, 4, 6, 6, 5, 4, 5, 4, 5, 4, 7, 5, 6, 1 4, 2, 0, 4, 2, 2, 5, 6, 5, 3, 4, 6, 3, 4, 6, 7, 4, 6, 2, 6, 5, 7, 5, 5, 5, 5, 3, 2, 6, 6, 4, 6, 6, 4, 5, 3, 4, 3, 4, 1, 6, 4, 3, 2, 1, 4, 6, 3, 3, 5, 8, 5, 3, 5, 4, 4, 5, 5, 3, 4, 6, 5, 2, 4, 5, 3, 3, 4, 4, 7, 3, 6, 6, 5, 4, 4, 4, 6, 4, 1, 3, 5, 3, 5, 2, 5, 5, 4, 7, 3, 4, 4, 7, 4, 4, 4, 3, 4, 6, 6, 5, 6, 3, 6, 5, 5, 5, 6, 3, 4, 6, 7, 5, 5, 5, 5, 3, 5, 4, 6, 4, 6, 5, 5, 7, 1, 5, 8, 6, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 3, 3, 5, 3, 3, 3, 5, 4, 2, 3, 5, 7, 7, 5, 7, 6, 5, 6, 6, 4, 5, 6, 5, 4, 4, 4, 4, 5, 3, 6, 2, 5, 5, 7, 3, 4, 3, 5, 4, 4, 3, 6, 5, 5, 5, 4, 2, 5, 4, 3, 4, 4, 5, 4, 3, 5, 3, 2, 4, 5, 3, 5, 4, 6, 6, 5, 3, 4, 8, 3, 6, 4, 6, 5, 4, 3, 2, 2, 4, 4, 9, 4, 3, 6, 4, 4, 1, 3, 3, 8, 5, 6, 5, 3, 3, 5, 2, 7, 5, 3, 4, 4, 2, 5, 4, 2, 7, 5, 4, 4, 3, 8, 5, 6, 5, 5, 6, 3, 5, 4, 6, 6, 4, 4, 5, 4, 5, 8, 5, 4, 3, 5, 4, 8, 3, 5, 5, 4, 3, 4, 4, 5, 7, 2, 4, 5, 5, 8, 3, 3, 6, 3, 1, 5, 7, 6, 6, 4, 4, 3, 8, 4, 7, 4, 4, 8, 3, 2, 5, 3, 5, 3, 3, 5, 2, 5, 5, 4, 3, 6, 4, 6, 7, 6, 3, 4, 0, 6, 5, 4, 3, 5, 4, 4, 3, 6, 5, 5, 5, 3, 7, 6, 5, 5, 4, 4, 6, 3, 5, 4, 4, 6, 4, 3, 5, 5, 4, 7, 8, 4, 6, 3, 3, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 6, 4, 2, 6, 3, 5, 3, 3, 4, 5, 4, 7, 4, 2, 3, 4, 3, 5, 3, 4, 4, 5, 5, 6, 7, 5, 4, 5, 6, 4, 5, 5, 3, 5, 3, 7, 5, 4, 3, 4, 2, 5, 3, 4, 3, 4, 7, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 3, 5, 7, 3, 5, 4, 4, 7, 6, 4, 5, 5, 3, 6, 3, 6, 3, 5, 4, 6, 6, 5, 8, 6, 3, 3, 4, 3, 4, 3, 4, 2, 6, 6, 5, 4, 4, 6, 2, 1, 4, 5, 3, 5, 2, 2, 4, 3, 5, 3, 4, 5, 4, 1, 4, 4, 4, 4, 3, 3, 4, 6, 7, 2, 3, 2, 5, 6, 5, -1 3, 4, 4, 2, 4, 5, 4, 5, 5, 6, 2, 4, 4, 7, 5, 5, 8, 5, 4, 4, 6, 7, 5, 6, 5, 4, 2, 4, 5, 2, 3, 4, 3, 5, 5, 3, 5, 6, 5, 2, 4, 3, 5, 4, 5, 6, 3, 4, 6, 5, 5, 1, 3, 3, 4, 5, 6, 1, 4, 4, 4, 7, 5, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 6, 4, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 4, 5, 4, 4, 5, 3, 5, 3, 5, 4, 5, 5, 3, 5, 7, 2, 5, 6, 5, 6, 4, 5, 4, 2, 4, 5, 6, 6, 6, 5, 4, 7, 4, 7, 3, 3, 6, 6, 6, 6, 5, 5, 7, 3, 3, 8, 5, 4, 6, 5, 2, 4, 5, 4, 7, 5, 3, 5, 5, 4, 5, 6, 4, 4, 5, 6, 4, 4, 2, 8, 6, 6, 2, 4, 5, 2, 4, 5, 4, 5, 2, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 2, 5, 5, 2, 3, 5, 4, 3, 5, 4, 3, 4, 5, 2, 3, 5, 5, 6, 2, 5, 5, 4, 3, 4, 3, 1, 4, 4, 7, 3, 4, 5, 6, 4, 6, 6, 1, 4, 3, 3, 3, 3, 6, 4, 3, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 3, 6, 6, 6, 4, 4, 4, 5, 6, 3, 5, 5, 5, 4, 5, 5, 3, 6, 2, 3, 5, 5, 2, 5, 3, 4, 2, 5, 7, 4, 5, 4, 5, 2, 6, 5, 3, 5, 3, 7, 4, 3, 5, 3, 4, 3, 6, 3, 7, 5, 4, 5, 3, 4, 4, 3, 6, 4, 5, 5, 3, 7, 7, 7, 5, 4, 5, 4, 4, 4, 6, 2, 6, 5, 5, 5, 5, 7, 5, 7, 5, 5, 5, 3, 5, 8, 6, 2, 5, 5, 7, 6, 4, 4, 3, 5, 2, 2, 6, 4, 7, 5, 5, 4, 6, 2, 4, 5, 3, 1, 5, 5, 7, 5, 3, 6, 3, 3, 5, 7, 6, 5, 4, 4, 3, 1, 4, 2, 4, 7, 4, 4, 7, 6, 3, 6, 4, 4, 3, 4, 4, 5, 3, 3, 7, 7, 4, 5, 2, 4, 5, 4, 5, 4, 5, 7, 3, 4, 4, 5, 7, 5, 6, 5, 7, 3, 5, 5, 6, 5, 4, 4, 4, 8, 5, 4, 3, 3, 5, 2, 4, 5, 7, 4, 6, 4, 4, 4, 5, 4, 4, 5, 5, 4, 6, 7, 4, 7, 4, 4, 4, 0, 5, 5, 5, 7, 4, 7, 5, 2, 4, 3, 5, 5, 5, 5, 7, 5, 6, 6, 5, 6, 6, 6, 2, 4, 6, 4, 1, 4, 4, 4, 4, 4, 3, 7, 5, 2, 2, 8, 4, 5, 5, 5, 4, 4, 4, 3, 4, 6, 4, 5, 5, 5, 4, 5, 6, 1 5, 5, 5, 3, 2, 3, 5, 3, 4, 1, 4, 2, 6, 4, 4, 5, 6, 6, 7, 6, 5, 6, 4, 3, 4, 6, 8, 8, 6, 5, 4, 5, 4, 2, 5, 5, 5, 3, 4, 1, 4, 3, 6, 6, 4, 3, 4, 4, 3, 5, 5, 6, 4, 6, 6, 5, 5, 2, 4, 3, 3, 6, 5, 3, 6, 3, 6, 6, 6, 3, 5, 6, 3, 4, 4, 6, 4, 3, 5, 5, 3, 2, 4, 6, 3, 7, 5, 3, 4, 6, 7, 8, 6, 3, 7, 3, 4, 6, 5, 4, 5, 5, 3, 4, 3, 4, 6, 4, 5, 3, 4, 6, 5, 8, 6, 3, 4, 5, 4, 5, 3, 4, 4, 3, 5, 6, 4, 7, 4, 5, 3, 3, 5, 8, 3, 5, 6, 6, 2, 5, 3, 6, 4, 3, 5, 6, 5, 5, 3, 5, 6, 4, 5, 6, 6, 5, 4, 2, 6, 5, 5, 6, 5, 7, 4, 6, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 6, 4, 7, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3, 5, 3, 2, 5, 4, 2, 1, 6, 3, 4, 6, 5, 2, 2, 3, 2, 3, 4, 6, 5, 2, 3, 3, 4, 4, 5, 6, 6, 4, 6, 4, 3, 3, 4, 7, 3, 5, 2, 4, 5, 2, 6, 2, 5, 5, 6, 4, 3, 6, 4, 3, 3, 3, 6, 4, 3, 3, 3, 5, 4, 5, 5, 5, 5, 4, 3, 3, 6, 5, 6, 4, 4, 7, 5, 5, 6, 5, 3, 3, 4, 5, 1, 7, 4, 3, 2, 4, 7, 6, 6, 4, 6, 5, 3, 5, 4, 4, 4, 3, 5, 4, 6, 3, 4, 4, 5, 6, 2, 6, 5, 0, 6, 6, 4, 4, 6, 3, 4, 4, 6, 2, 3, 5, 4, 4, 6, 5, 2, 7, 5, 5, 7, 5, 6, 5, 6, 6, 4, 5, 4, 4, 4, 4, 5, 8, 6, 6, 7, 4, 4, 3, 3, 4, 5, 2, 4, 2, 4, 5, 3, 6, 4, 6, 4, 6, 7, 1, 5, 5, 4, 7, 5, 4, 5, 5, 3, 3, 7, 3, 4, 4, 3, 6, 4, 2, 4, 5, 6, 3, 3, 5, 3, 3, 5, 3, 6, 5, 6, 4, 1, 6, 6, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 6, 7, 6, 5, 3, 4, 4, 5, 2, 4, 4, 5, 7, 6, 5, 7, 3, 5, 7, 4, 5, 2, 4, 4, 5, 6, 5, 5, 3, 5, 4, 6, 4, 5, 4, 7, 3, 4, 4, 3, 3, 4, 6, 6, 3, 5, 4, 5, 5, 8, 5, 3, 3, 3, 4, 7, 6, 3, 5, 6, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 5, 2, 4, 4, 1, 4, 3, 4, 4, 7, 3, 3, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, -1 6, 3, 3, 3, 3, 6, 5, 3, 6, 2, 5, 3, 5, 5, 6, 4, 5, 5, 3, 3, 5, 2, 6, 4, 4, 5, 4, 6, 8, 1, 4, 4, 5, 4, 3, 5, 6, 3, 4, 7, 5, 3, 4, 3, 4, 7, 6, 3, 2, 6, 3, 4, 5, 6, 4, 6, 5, 5, 4, 2, 7, 6, 5, 4, 2, 5, 4, 6, 5, 4, 3, 5, 4, 4, 3, 2, 5, 4, 5, 3, 2, 6, 5, 3, 2, 3, 6, 4, 3, 4, 4, 2, 4, 7, 4, 6, 5, 5, 4, 7, 5, 7, 4, 4, 4, 7, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 3, 7, 5, 5, 4, 2, 6, 5, 7, 5, 3, 5, 6, 6, 4, 5, 4, 4, 4, 5, 7, 5, 3, 4, 5, 6, 4, 5, 4, 6, 5, 6, 8, 4, 5, 4, 3, 5, 6, 4, 5, 0, 4, 3, 3, 2, 6, 3, 4, 3, 5, 3, 7, 3, 5, 9, 7, 3, 7, 1, 5, 6, 4, 5, 3, 6, 6, 5, 7, 6, 5, 3, 4, 3, 5, 5, 3, 1, 4, 5, 4, 4, 3, 5, 6, 4, 4, 5, 4, 3, 1, 5, 5, 3, 5, 5, 5, 5, 6, 4, 3, 5, 5, 4, 7, 2, 3, 7, 4, 7, 4, 2, 2, 5, 4, 4, 6, 7, 5, 6, 5, 5, 4, 3, 5, 3, 4, 4, 4, 2, 4, 3, 4, 3, 4, 5, 4, 6, 6, 7, 4, 1, 6, 4, 3, 4, 3, 4, 6, 5, 1, 3, 6, 4, 5, 4, 4, 2, 5, 7, 4, 4, 4, 5, 6, 3, 4, 3, 4, 5, 6, 6, 6, 4, 5, 5, 5, 3, 5, 5, 4, 6, 2, 5, 7, 3, 5, 5, 6, 5, 2, 4, 4, 3, 2, 3, 2, 3, 9, 6, 5, 5, 4, 2, 4, 3, 5, 2, 5, 3, 5, 3, 5, 5, 2, 5, 2, 3, 3, 6, 7, 5, 8, 6, 5, 4, 4, 7, 6, 6, 5, 5, 5, 2, 2, 0, 3, 3, 6, 4, 7, 4, 4, 5, 6, 5, 4, 4, 3, 2, 4, 4, 1, 3, 4, 5, 2, 3, 2, 2, 4, 1, 6, 5, 4, 3, 6, 5, 4, 4, 5, 5, 4, 3, 9, 5, 4, 5, 7, 4, 4, 3, 6, 6, 3, 4, 5, 4, 3, 8, 6, 2, 5, 5, 5, 2, 5, 5, 3, 5, 4, 4, 4, 7, 3, 4, 5, 3, 6, 5, 1, 3, 4, 4, 4, 4, 4, 8, 3, 6, 4, 5, 4, 5, 2, 6, 3, 5, 5, 2, 7, 8, 4, 5, 4, 2, 2, 4, 6, 6, 4, 4, 6, 6, 3, 2, 4, 3, 5, 5, 4, 4, 4, 4, 7, 5, 6, 5, 4, 4, 6, 3, 6, 3, 2, 5, 5, 4, 4, 3, 6, 5, 4, 5, 5, 4, 4, 6, 4, 4, -1 5, 4, 5, 3, 5, 1, 6, 6, 5, 4, 3, 4, 5, 6, 4, 8, 5, 4, 3, 4, 5, 6, 5, 4, 6, 2, 0, 5, 7, 4, 5, 4, 5, 8, 6, 4, 6, 5, 5, 3, 6, 6, 4, 4, 5, 6, 4, 5, 4, 3, 2, 6, 6, 6, 4, 5, 4, 5, 8, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 6, 4, 3, 4, 4, 4, 4, 3, 3, 6, 5, 3, 4, 4, 3, 4, 3, 4, 6, 2, 6, 4, 6, 6, 2, 7, 2, 5, 4, 6, 5, 5, 2, 2, 6, 6, 3, 3, 5, 6, 4, 3, 4, 4, 6, 6, 7, 5, 6, 4, 7, 4, 5, 3, 5, 5, 5, 6, 4, 5, 3, 3, 5, 4, 4, 5, 2, 4, 4, 5, 4, 2, 6, 5, 5, 2, 4, 5, 5, 4, 3, 6, 5, 6, 3, 5, 4, 4, 5, 5, 4, 3, 6, 3, 3, 7, 4, 2, 5, 3, 7, 5, 4, 4, 6, 7, 5, 3, 4, 6, 6, 1, 7, 4, 4, 7, 5, 4, 4, 6, 4, 4, 4, 4, 5, 4, 2, 5, 4, 6, 6, 4, 5, 5, 6, 6, 4, 3, 5, 4, 4, 6, 3, 2, 6, 5, 5, 2, 4, 6, 4, 3, 5, 2, 1, 6, 6, 8, 5, 7, 1, 3, 4, 5, 3, 4, 2, 4, 2, 5, 7, 3, 5, 3, 3, 5, 2, 3, 7, 4, 6, 4, 2, 5, 5, 6, 4, 4, 4, 4, 4, 4, 7, 4, 5, 6, 4, 1, 3, 6, 4, 4, 4, 4, 4, 4, 6, 6, 6, 3, 5, 5, 5, 5, 2, 7, 4, 4, 5, 5, 5, 3, 4, 6, 2, 4, 4, 5, 8, 6, 7, 4, 7, 6, 4, 4, 4, 5, 5, 4, 4, 4, 5, 1, 1, 5, 3, 7, 6, 7, 5, 6, 5, 4, 6, 6, 3, 4, 5, 4, 3, 5, 4, 6, 4, 3, 4, 2, 6, 4, 4, 4, 4, 4, 4, 3, 8, 5, 5, 7, 5, 4, 6, 5, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 4, 6, 5, 7, 5, 1, 2, 6, 4, 7, 6, 5, 8, 3, 3, 4, 2, 3, 3, 6, 3, 4, 4, 6, 5, 3, 3, 5, 7, 5, 6, 6, 5, 5, 3, 5, 4, 5, 5, 7, 1, 4, 4, 4, 3, 6, 5, 4, 2, 4, 3, 4, 4, 4, 6, 5, 2, 6, 4, 6, 4, 3, 3, 4, 5, 8, 5, 5, 5, 5, 6, 7, 4, 5, 6, 5, 4, 2, 2, 3, 4, 6, 4, 3, 4, 3, 7, 4, 4, 4, 5, 4, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 6, 4, 8, 1, 2, 3, 6, 7, 3, 4, 4, 5, 4, 6, 2, 1, 3, 6, 3, 4, 3, 5, 4, 4, 3, 5, 4, 5, 2, 6, 6, 1 5, 4, 4, 2, 4, 3, 5, 6, 6, 5, 4, 4, 6, 7, 5, 3, 4, 5, 5, 6, 6, 4, 5, 5, 6, 5, 5, 4, 5, 4, 6, 4, 2, 4, 4, 7, 3, 3, 4, 6, 5, 6, 4, 5, 2, 4, 3, 4, 4, 5, 7, 5, 3, 4, 6, 6, 6, 5, 6, 4, 5, 3, 4, 4, 5, 6, 3, 5, 5, 4, 4, 5, 4, 3, 5, 3, 3, 4, 6, 3, 2, 5, 2, 5, 5, 5, 6, 5, 3, 6, 2, 5, 6, 4, 4, 5, 7, 2, 5, 3, 6, 3, 3, 5, 6, 4, 4, 5, 4, 4, 2, 1, 5, 5, 5, 4, 6, 4, 6, 4, 2, 3, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 6, 3, 2, 3, 6, 2, 4, 6, 3, 2, 5, 5, 7, 3, 4, 4, 5, 4, 6, 7, 6, 5, 5, 5, 3, 5, 7, 2, 6, 5, 4, 4, 3, 3, 7, 4, 5, 2, 6, 4, 5, 2, 3, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 8, 3, 3, 4, 4, 5, 4, 6, 4, 3, 5, 4, 4, 3, 4, 4, 1, 4, 8, 4, 4, 2, 6, 7, 3, 6, 5, 4, 5, 5, 1, 4, 4, 5, 2, 4, 2, 3, 2, 7, 6, 4, 6, 6, 5, 7, 3, 5, 4, 6, 4, 5, 3, 5, 8, 4, 5, 3, 7, 4, 4, 5, 5, 4, 4, 4, 5, 2, 5, 4, 4, 4, 2, 3, 4, 5, 3, 3, 6, 2, 3, 5, 6, 5, 4, 5, 6, 4, 5, 8, 5, 6, 1, 5, 5, 5, 4, 4, 4, 4, 4, 5, 2, 6, 6, 4, 3, 6, 3, 5, 4, 2, 5, 5, 4, 4, 5, 5, 3, 4, 3, 5, 6, 4, 6, 5, 3, 3, 6, 5, 5, 2, 3, 8, 6, 7, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 5, 5, 4, 5, 5, 3, 5, 7, 7, 3, 4, 4, 3, 4, 5, 7, 4, 4, 5, 6, 2, 3, 3, 4, 3, 5, 3, 5, 4, 6, 4, 2, 4, 4, 5, 3, 3, 4, 4, 3, 5, 2, 3, 4, 5, 4, 8, 5, 6, 5, 3, 7, 7, 5, 4, 3, 4, 3, 4, 7, 4, 4, 3, 1, 5, 4, 3, 4, 4, 2, 4, 3, 5, 4, 3, 3, 6, 5, 7, 2, 5, 1, 7, 1, 5, 3, 4, 5, 4, 5, 5, 5, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 3, 3, 5, 6, 5, 4, 3, 1, 6, 3, 3, 3, 6, 6, 3, 5, 7, 5, 4, 6, 4, 4, 4, 3, 6, 3, 3, 4, 6, 6, 4, 5, 3, 4, 5, 5, 6, 3, 5, 5, 4, 5, 7, 3, 3, 5, 2, 5, 4, 4, 3, 4, 5, -1 8, 4, 4, 4, 3, 9, 6, 5, 5, 5, 3, 4, 7, 6, 5, 5, 2, 6, 7, 6, 6, 3, 4, 5, 4, 4, 6, 4, 4, 2, 5, 6, 3, 5, 4, 4, 3, 4, 4, 2, 4, 3, 5, 4, 4, 5, 4, 6, 6, 7, 4, 2, 2, 3, 5, 5, 5, 5, 3, 7, 5, 4, 4, 5, 3, 3, 4, 5, 7, 7, 4, 4, 7, 4, 1, 2, 2, 5, 6, 2, 4, 3, 3, 6, 5, 3, 4, 4, 4, 6, 4, 6, 6, 5, 3, 3, 6, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 3, 7, 3, 7, 5, 5, 4, 4, 5, 2, 5, 4, 4, 5, 6, 3, 5, 5, 6, 3, 4, 6, 8, 6, 3, 5, 5, 6, 3, 5, 3, 7, 3, 6, 6, 3, 3, 5, 9, 6, 3, 7, 4, 5, 7, 7, 2, 3, 5, 5, 3, 7, 5, 4, 5, 6, 4, 5, 7, 2, 4, 4, 5, 5, 5, 4, 3, 5, 4, 5, 3, 6, 3, 5, 2, 4, 5, 6, 3, 4, 4, 4, 5, 3, 3, 4, 3, 5, 6, 1, 6, 5, 2, 5, 3, 4, 4, 6, 4, 6, 3, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 3, 3, 4, 4, 6, 3, 4, 4, 2, 6, 4, 6, 5, 2, 4, 5, 3, 3, 4, 4, 7, 4, 6, 7, 5, 0, 2, 3, 1, 6, 5, 5, 6, 2, 4, 4, 4, 3, 5, 5, 3, 4, 6, 7, 5, 4, 3, 3, 4, 5, 5, 6, 4, 3, 7, 2, 3, 5, 4, 3, 5, 5, 3, 2, 5, 5, 4, 4, 6, 2, 3, 4, 5, 5, 2, 3, 6, 3, 3, 4, 4, 4, 6, 7, 2, 4, 1, 4, 3, 5, 2, 5, 3, 4, 6, 5, 4, 6, 7, 6, 5, 7, 3, 6, 5, 5, 2, 2, 4, 6, 4, 5, 3, 4, 5, 4, 3, 7, 3, 4, 5, 2, 3, 6, 4, 6, 4, 4, 3, 7, 2, 5, 5, 3, 3, 5, 3, 6, 4, 5, 4, 5, 5, 4, 2, 5, 4, 6, 3, 6, 7, 3, 3, 5, 8, 3, 4, 4, 4, 3, 6, 5, 3, 4, 3, 2, 1, 5, 4, 5, 3, 2, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 3, 5, 4, 6, 6, 4, 4, 6, 2, 3, 3, 3, 1, 5, 3, 3, 7, 5, 5, 7, 5, 3, 7, 5, 5, 6, 6, 2, 6, 3, 6, 8, 3, 8, 7, 2, 4, 4, 4, 6, 1, 6, 5, 5, 7, 5, 5, 4, 3, 3, 2, 5, 3, 5, 2, 6, 5, 3, 3, 4, 5, 2, 5, 4, 5, 5, 5, 4, 4, 4, 4, 6, 1, 4, 5, 5, 4, 5, 5, 5, 7, 4, 4, 6, 2, 4, 4, 5, 8, 3, 2, 5, 6, 3, 8, 5, -1 5, 4, 6, 3, 4, 5, 5, 6, 6, 4, 3, 4, 6, 4, 4, 5, 3, 2, 3, 4, 6, 1, 2, 4, 4, 4, 4, 1, 8, 2, 4, 5, 2, 6, 4, 5, 5, 6, 4, 6, 4, 3, 3, 5, 2, 5, 6, 4, 4, 4, 6, 3, 5, 4, 5, 4, 6, 4, 3, 6, 5, 3, 4, 5, 4, 4, 5, 3, 6, 5, 5, 6, 2, 5, 1, 6, 3, 3, 2, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 6, 7, 2, 4, 3, 5, 5, 3, 4, 4, 6, 4, 6, 4, 3, 2, 7, 8, 5, 7, 6, 5, 4, 5, 5, 5, 3, 6, 4, 5, 4, 3, 6, 6, 5, 6, 5, 3, 6, 7, 5, 5, 4, 4, 6, 5, 5, 8, 4, 3, 4, 4, 4, 5, 2, 4, 4, 2, 6, 5, 5, 5, 4, 8, 6, 7, 4, 5, 3, 4, 4, 5, 3, 5, 4, 2, 2, 5, 4, 6, 4, 7, 6, 6, 7, 6, 7, 5, 7, 3, 4, 5, 3, 4, 5, 7, 5, 5, 4, 2, 5, 5, 3, 5, 6, 1, 4, 1, 5, 4, 6, 3, 4, 5, 5, 7, 7, 4, 3, 7, 6, 5, 3, 4, 7, 4, 8, 5, 5, 4, 5, 4, 2, 4, 5, 4, 3, 4, 3, 6, 3, 6, 3, 3, 5, 2, 4, 4, 5, 4, 6, 6, 4, 5, 3, 7, 3, 7, 5, 5, 4, 4, 7, 4, 6, 3, 2, 3, 6, 4, 5, 6, 6, 5, 4, 5, 4, 6, 4, 5, 3, 7, 5, 6, 1, 3, 6, 9, 6, 6, 6, 2, 6, 4, 5, 3, 4, 6, 5, 5, 5, 5, 7, 4, 8, 6, 3, 3, 4, 6, 4, 6, 5, 2, 3, 8, 6, 8, 3, 5, 6, 5, 5, 5, 3, 5, 1, 9, 6, 9, 6, 5, 5, 4, 5, 3, 2, 1, 5, 5, 7, 5, 3, 4, 2, 6, 1, 3, 3, 2, 7, 7, 2, 5, 7, 5, 3, 2, 4, 5, 4, 3, 1, 6, 4, 5, 2, 4, 6, 5, 4, 3, 7, 6, 4, 6, 7, 5, 5, 4, 4, 6, 5, 8, 5, 8, 4, 4, 4, 4, 2, 4, 3, 4, 7, 2, 6, 5, 2, 5, 5, 4, 4, 2, 3, 5, 7, 1, 6, 6, 5, 4, 4, 6, 4, 7, 3, 6, 6, 4, 6, 5, 6, 5, 5, 4, 2, 5, 4, 4, 2, 4, 5, 6, 2, 5, 6, 5, 6, 4, 3, 5, 5, 6, 6, 4, 3, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 7, 5, 8, 5, 7, 3, 2, 6, 6, 5, 3, 3, 5, 3, 6, 5, 4, 7, 4, 4, 5, 2, 1, 3, 6, 6, 4, 7, 6, 4, 4, 5, 4, 6, 4, 7, 3, 5, 4, 3, 3, 5, 5, 6, 7, 3, 4, 4, 6, 5, 7, -1 7, 4, 4, 5, 3, 3, 2, 6, 6, 3, 5, 4, 2, 3, 5, 8, 6, 8, 4, 6, 6, 6, 4, 6, 3, 5, 4, 3, 2, 3, 3, 5, 4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 5, 8, 3, 2, 2, 4, 7, 3, 2, 4, 6, 1, 4, 5, 5, 6, 5, 3, 5, 4, 4, 5, 3, 3, 2, 3, 6, 6, 3, 4, 3, 2, 5, 7, 5, 8, 4, 7, 4, 3, 5, 5, 2, 5, 5, 7, 4, 5, 5, 6, 3, 4, 8, 3, 6, 3, 4, 3, 4, 6, 5, 6, 4, 2, 5, 6, 3, 4, 5, 5, 4, 3, 4, 8, 5, 3, 2, 5, 7, 5, 5, 6, 3, 5, 3, 4, 4, 4, 4, 1, 6, 3, 2, 4, 6, 6, 5, 5, 5, 6, 6, 3, 5, 4, 4, 4, 6, 4, 8, 4, 5, 2, 4, 3, 6, 7, 5, 2, 6, 4, 6, 7, 7, 6, 5, 4, 2, 2, 2, 7, 5, 4, 9, 5, 5, 4, 4, 4, 2, 3, 5, 5, 5, 5, 5, 2, 4, 3, 4, 4, 6, 5, 6, 3, 7, 7, 5, 6, 6, 3, 4, 5, 1, 4, 5, 3, 6, 3, 4, 5, 4, 4, 5, 3, 4, 3, 6, 3, 3, 7, 5, 5, 5, 5, 3, 4, 3, 5, 4, 3, 5, 5, 5, 3, 4, 6, 5, 5, 4, 5, 5, 3, 3, 4, 7, 4, 6, 3, 5, 6, 4, 7, 5, 4, 5, 3, 4, 4, 6, 4, 4, 3, 4, 5, 4, 5, 4, 6, 6, 4, 3, 4, 7, 4, 4, 3, 8, 7, 6, 5, 3, 5, 6, 5, 5, 5, 6, 7, 4, 3, 5, 4, 5, 4, 3, 6, 5, 7, 4, 5, 4, 6, 6, 3, 3, 4, 6, 5, 5, 4, 4, 3, 4, 5, 5, 4, 7, 6, 4, 6, 5, 3, 5, 3, 4, 3, 5, 3, 6, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 4, 6, 4, 5, 4, 4, 4, 3, 3, 3, 7, 7, 3, 6, 6, 3, 2, 4, 4, 5, 7, 5, 4, 3, 5, 3, 3, 3, 4, 5, 1, 2, 6, 4, 7, 5, 3, 4, 3, 7, 4, 3, 4, 4, 6, 4, 3, 4, 6, 5, 3, 5, 5, 5, 6, 7, 6, 2, 5, 6, 1, 2, 4, 5, 6, 3, 4, 4, 2, 7, 5, 6, 5, 3, 4, 4, 6, 4, 4, 6, 9, 5, 7, 3, 5, 4, 2, 5, 5, 3, 3, 3, 5, 2, 6, 3, 6, 3, 5, 6, 4, 5, 7, 4, 6, 5, 5, 6, 4, 3, 5, 7, 2, 4, 3, 5, 4, 8, 5, 7, 4, 4, 5, 6, 6, 4, 4, 4, 6, 6, 4, 3, 5, 3, 3, 2, 5, 6, 3, 5, 5, 5, 6, 2, 7, 4, 1 4, 6, 5, 4, 3, 4, 6, 6, 5, 5, 2, 6, 2, 6, 4, 5, 4, 4, 5, 4, 5, 3, 2, 4, 7, 4, 6, 3, 2, 6, 5, 5, 4, 6, 4, 3, 5, 7, 5, 2, 5, 5, 4, 4, 5, 1, 5, 3, 5, 6, 4, 4, 5, 4, 5, 6, 5, 7, 3, 3, 3, 5, 4, 6, 4, 7, 3, 3, 6, 3, 3, 6, 3, 6, 4, 4, 2, 4, 7, 6, 5, 5, 3, 3, 5, 4, 6, 4, 4, 4, 7, 6, 5, 3, 6, 6, 4, 7, 6, 4, 2, 3, 5, 4, 5, 4, 6, 2, 6, 4, 3, 3, 4, 4, 3, 7, 4, 3, 5, 8, 2, 5, 6, 7, 6, 4, 5, 6, 4, 5, 4, 5, 7, 4, 4, 4, 5, 2, 3, 3, 6, 7, 4, 5, 6, 2, 3, 5, 9, 4, 6, 7, 5, 3, 6, 6, 6, 6, 5, 2, 2, 3, 5, 4, 6, 5, 7, 5, 3, 2, 2, 3, 7, 4, 5, 4, 5, 6, 7, 3, 4, 1, 3, 5, 2, 5, 6, 4, 6, 6, 5, 5, 3, 3, 7, 4, 3, 6, 2, 0, 5, 4, 4, 5, 5, 4, 4, 5, 8, 7, 2, 3, 5, 3, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 4, 4, 3, 6, 6, 6, 5, 3, 2, 4, 5, 4, 6, 4, 5, 5, 3, 5, 6, 6, 4, 3, 4, 3, 3, 5, 4, 8, 5, 4, 6, 3, 3, 4, 4, 5, 4, 4, 2, 5, 3, 3, 4, 4, 0, 5, 5, 5, 5, 4, 4, 4, 4, 5, 7, 4, 6, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 3, 4, 5, 7, 5, 6, 4, 5, 7, 3, 5, 4, 5, 4, 5, 3, 6, 2, 4, 6, 4, 4, 7, 2, 6, 4, 5, 2, 4, 4, 3, 4, 3, 5, 3, 4, 8, 5, 6, 5, 6, 4, 5, 6, 3, 1, 3, 4, 6, 3, 4, 6, 4, 2, 4, 2, 4, 6, 4, 4, 1, 5, 3, 4, 3, 4, 4, 5, 3, 4, 5, 4, 3, 5, 7, 5, 5, 6, 6, 4, 3, 5, 5, 5, 3, 5, 3, 5, 5, 3, 5, 6, 4, 4, 5, 3, 5, 3, 7, 5, 3, 6, 6, 5, 4, 5, 5, 6, 3, 5, 5, 5, 3, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 7, 4, 3, 4, 6, 2, 4, 5, 8, 4, 6, 3, 5, 3, 7, 3, 5, 5, 2, 1, 1, 6, 4, 4, 7, 7, 6, 4, 4, 3, 5, 5, 7, 1, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 6, 8, 6, 6, 5, 6, 3, 4, 2, 5, 6, 5, 3, 5, 4, 5, 5, 6, 6, 3, 3, 6, 8, 5, 6, 5, 4, 7, 4, 3, 4, 4, 4, 4, 5, 4, 7, 4, 1 5, 4, 4, 4, 2, 3, 5, 3, 7, 2, 4, 6, 6, 3, 7, 3, 3, 7, 3, 7, 6, 8, 4, 4, 5, 4, 3, 6, 5, 3, 4, 3, 3, 3, 5, 4, 5, 4, 2, 6, 5, 3, 5, 2, 3, 4, 5, 3, 2, 6, 5, 3, 4, 3, 4, 5, 4, 5, 3, 2, 6, 6, 1, 5, 7, 5, 3, 3, 6, 3, 6, 5, 4, 3, 4, 3, 4, 2, 4, 6, 4, 4, 2, 3, 4, 6, 5, 4, 5, 5, 4, 6, 3, 7, 4, 3, 5, 7, 4, 6, 6, 7, 3, 5, 5, 3, 5, 2, 5, 5, 2, 3, 5, 5, 5, 5, 4, 4, 6, 3, 3, 5, 4, 3, 4, 5, 2, 9, 3, 5, 4, 5, 6, 4, 2, 2, 4, 6, 4, 3, 5, 3, 4, 5, 6, 3, 4, 6, 4, 3, 5, 6, 6, 6, 4, 4, 5, 4, 6, 5, 4, 4, 0, 2, 2, 5, 4, 4, 3, 5, 6, 2, 5, 3, 3, 5, 2, 7, 3, 2, 5, 6, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 4, 3, 6, 4, 4, 6, 5, 6, 4, 5, 5, 4, 5, 7, 6, 4, 2, 4, 3, 0, 5, 4, 4, 4, 5, 3, 8, 6, 5, 0, 3, 4, 5, 7, 7, 4, 2, 4, 3, 5, 5, 3, 5, 5, 2, 4, 7, 6, 3, 6, 6, 3, 5, 4, 7, 4, 6, 4, 4, 6, 3, 3, 4, 4, 4, 3, 5, 4, 3, 7, 5, 4, 6, 5, 3, 5, 3, 1, 2, 4, 3, 6, 6, 7, 5, 5, 6, 4, 6, 6, 3, 4, 5, 5, 4, 3, 6, 6, 4, 5, 5, 4, 2, 3, 4, 4, 8, 5, 6, 4, 4, 4, 4, 4, 4, 4, 5, 1, 4, 6, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 6, 7, 6, 3, 3, 5, 5, 2, 5, 5, 4, 5, 5, 6, 4, 5, 3, 5, 3, 3, 7, 2, 4, 2, 4, 5, 4, 4, 5, 6, 6, 2, 3, 3, 5, 5, 4, 4, 5, 5, 2, 4, 6, 4, 5, 4, 2, 2, 3, 5, 6, 4, 6, 3, 3, 1, 3, 7, 2, 3, 2, 6, 4, 7, 7, 5, 6, 2, 5, 3, 7, 2, 5, 4, 3, 3, 3, 7, 6, 6, 6, 9, 3, 4, 6, 4, 4, 3, 3, 6, 3, 4, 4, 6, 5, 3, 3, 4, 5, 1, 7, 6, 6, 3, 3, 5, 4, 5, 5, 7, 6, 5, 4, 2, 6, 5, 7, 3, 5, 4, 3, 4, 3, 6, 4, 4, 4, 2, 5, 4, 5, 5, 6, 5, 4, 6, 2, 4, 2, 3, 3, 6, 3, 6, 6, 3, 3, 2, 3, 4, 8, 3, 3, 3, 4, 3, 3, 7, 5, 4, 5, 2, 7, 5, 5, 3, 5, 2, 4, 5, 4, 4, 6, 4, 4, 7, 5, -1 7, 7, 5, 6, 3, 4, 5, 6, 6, 7, 3, 5, 5, 4, 3, 5, 3, 4, 8, 4, 3, 6, 4, 6, 4, 4, 3, 3, 6, 6, 4, 2, 6, 4, 4, 2, 4, 5, 5, 3, 8, 4, 3, 4, 4, 5, 3, 4, 5, 4, 3, 3, 6, 4, 1, 4, 4, 4, 4, 6, 3, 2, 3, 1, 5, 4, 5, 5, 6, 5, 4, 5, 2, 5, 4, 4, 5, 6, 6, 6, 4, 5, 5, 4, 5, 4, 5, 5, 4, 9, 2, 3, 5, 5, 4, 7, 7, 6, 3, 3, 5, 4, 4, 4, 4, 6, 3, 6, 4, 5, 5, 2, 7, 4, 5, 4, 3, 4, 4, 4, 4, 3, 2, 5, 4, 4, 3, 7, 7, 6, 2, 4, 4, 3, 4, 7, 3, 3, 5, 3, 2, 4, 3, 3, 6, 7, 4, 6, 5, 4, 4, 3, 6, 7, 4, 7, 7, 4, 3, 6, 5, 3, 4, 4, 4, 2, 6, 4, 6, 4, 2, 4, 6, 4, 5, 2, 4, 4, 7, 3, 3, 4, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 5, 4, 4, 3, 1, 4, 3, 4, 5, 7, 5, 6, 4, 4, 5, 5, 3, 4, 3, 4, 3, 6, 5, 8, 1, 5, 4, 4, 4, 5, 4, 4, 6, 5, 4, 8, 4, 5, 1, 4, 1, 5, 5, 5, 7, 9, 4, 7, 4, 4, 5, 7, 3, 3, 6, 2, 2, 3, 5, 7, 3, 3, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 6, 4, 4, 4, 4, 5, 4, 6, 3, 4, 4, 3, 5, 5, 6, 6, 5, 4, 3, 6, 5, 3, 2, 3, 5, 5, 7, 3, 3, 6, 4, 3, 3, 4, 6, 6, 6, 1, 4, 3, 6, 3, 7, 6, 3, 6, 5, 4, 6, 6, 5, 6, 6, 4, 5, 3, 3, 4, 5, 4, 6, 5, 5, 3, 3, 6, 4, 4, 7, 3, 4, 5, 3, 7, 7, 3, 5, 6, 3, 3, 0, 2, 4, 3, 4, 6, 4, 4, 4, 6, 4, 4, 7, 4, 5, 4, 2, 8, 3, 3, 1, 5, 5, 5, 4, 7, 3, 6, 4, 4, 5, 3, 5, 3, 2, 3, 6, 4, 4, 6, 4, 5, 4, 3, 4, 5, 2, 4, 3, 6, 3, 4, 6, 1, 4, 3, 4, 6, 7, 8, 5, 7, 4, 5, 5, 2, 3, 3, 4, 4, 5, 4, 6, 5, 8, 5, 4, 4, 4, 5, 3, 6, 4, 4, 4, 6, 5, 6, 2, 3, 3, 6, 5, 5, 4, 4, 4, 6, 4, 4, 5, 5, 6, 4, 3, 6, 5, 7, 3, 3, 6, 5, 2, 4, 3, 5, 4, 3, 3, 3, 5, 3, 3, 2, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 6, 4, 6, 4, 2, 4, 7, 4, 3, 4, 4, 5, 4, 7, 4, 5, 4, 4, 6, 4, -1 5, 5, 4, 3, 6, 4, 7, 5, 5, 4, 7, 4, 4, 1, 5, 2, 2, 4, 1, 4, 6, 2, 5, 6, 6, 5, 4, 4, 6, 8, 7, 4, 3, 3, 5, 5, 1, 6, 4, 6, 4, 4, 3, 4, 6, 5, 5, 4, 5, 0, 4, 5, 6, 4, 6, 4, 4, 6, 6, 5, 5, 3, 3, 1, 7, 4, 4, 3, 5, 6, 5, 6, 3, 2, 6, 4, 4, 1, 4, 2, 3, 4, 5, 4, 5, 4, 4, 3, 4, 5, 7, 2, 4, 3, 5, 5, 4, 4, 3, 4, 3, 3, 3, 5, 4, 5, 5, 4, 3, 7, 4, 3, 4, 5, 6, 4, 2, 3, 6, 5, 4, 4, 6, 3, 5, 7, 4, 6, 5, 7, 2, 6, 6, 4, 3, 5, 2, 6, 4, 7, 3, 4, 3, 1, 2, 5, 3, 3, 6, 6, 6, 5, 4, 6, 7, 5, 6, 5, 3, 3, 3, 3, 7, 6, 4, 5, 4, 6, 2, 4, 5, 2, 3, 3, 4, 5, 7, 3, 4, 5, 4, 3, 3, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 4, 6, 5, 2, 5, 6, 7, 5, 4, 6, 3, 3, 3, 3, 5, 3, 4, 3, 2, 5, 3, 6, 5, 4, 2, 2, 6, 3, 4, 3, 3, 6, 4, 6, 5, 4, 4, 4, 4, 2, 5, 2, 3, 5, 2, 6, 4, 3, 3, 5, 6, 2, 3, 5, 7, 3, 4, 5, 2, 3, 3, 7, 4, 4, 5, 4, 5, 5, 2, 6, 6, 5, 5, 4, 4, 4, 4, 6, 1, 5, 4, 7, 3, 4, 4, 5, 6, 4, 6, 3, 4, 7, 4, 7, 6, 4, 4, 3, 4, 7, 4, 5, 5, 4, 3, 5, 6, 4, 3, 4, 3, 3, 5, 5, 7, 5, 4, 7, 4, 2, 6, 6, 5, 4, 4, 6, 6, 3, 5, 6, 7, 3, 6, 3, 5, 2, 6, 4, 3, 5, 3, 4, 5, 6, 0, 4, 4, 3, 3, 6, 5, 3, 4, 3, 7, 4, 4, 5, 6, 6, 5, 2, 6, 4, 5, 4, 4, 7, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 0, 6, 4, 1, 5, 5, 4, 5, 6, 4, 4, 7, 3, 3, 3, 3, 4, 4, 4, 3, 6, 4, 3, 3, 3, 4, 5, 2, 6, 4, 5, 5, 2, 4, 4, 6, 3, 4, 3, 4, 2, 4, 3, 4, 6, 2, 3, 6, 2, 4, 3, 5, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 5, 5, 4, 5, 3, 4, 4, 3, 2, 4, 7, 5, 5, 6, 7, 5, 4, 5, 7, 1, 4, 6, 5, 3, 2, 5, 5, 4, 4, 3, 5, 6, 4, 2, 4, 3, 5, 4, 4, 3, 7, 3, 6, 3, 3, 3, 5, 5, 3, 3, 5, 6, 4, 5, 6, 4, 5, 4, 4, 3, -1 3, 5, 3, 4, 3, 2, 5, 7, 4, 2, 2, 2, 5, 5, 5, 4, 6, 4, 4, 6, 4, 2, 2, 4, 6, 6, 3, 2, 3, 5, 6, 4, 3, 5, 5, 4, 6, 4, 3, 3, 3, 3, 6, 3, 4, 4, 3, 4, 4, 4, 3, 6, 6, 3, 3, 5, 5, 5, 1, 5, 5, 3, 6, 2, 3, 3, 2, 6, 7, 5, 4, 5, 4, 6, 4, 4, 4, 1, 5, 2, 4, 4, 2, 2, 5, 1, 5, 3, 4, 6, 4, 5, 6, 0, 5, 3, 4, 6, 4, 6, 5, 5, 3, 4, 5, 5, 6, 3, 5, 6, 5, 7, 6, 7, 6, 5, 4, 5, 3, 3, 3, 6, 4, 4, 5, 4, 5, 4, 5, 8, 4, 3, 6, 2, 4, 4, 6, 6, 4, 4, 3, 6, 5, 3, 3, 3, 3, 5, 3, 5, 5, 5, 6, 4, 6, 4, 3, 4, 6, 4, 2, 1, 5, 3, 3, 3, 5, 4, 2, 4, 3, 6, 6, 6, 5, 6, 6, 2, 4, 2, 3, 7, 5, 4, 5, 4, 8, 5, 4, 5, 5, 1, 3, 4, 4, 4, 4, 5, 7, 6, 5, 7, 1, 4, 4, 3, 3, 5, 5, 4, 6, 6, 3, 5, 5, 5, 5, 5, 3, 6, 5, 6, 4, 2, 3, 2, 1, 3, 4, 2, 6, 4, 1, 4, 5, 6, 5, 3, 3, 4, 7, 7, 4, 6, 4, 7, 7, 6, 4, 4, 4, 6, 3, 4, 5, 4, 4, 5, 4, 0, 4, 4, 7, 5, 7, 1, 6, 6, 5, 6, 5, 5, 4, 1, 5, 4, 4, 5, 4, 4, 6, 4, 4, 3, 4, 6, 8, 5, 6, 7, 4, 7, 3, 2, 3, 4, 7, 6, 7, 2, 2, 7, 2, 4, 4, 5, 4, 8, 5, 5, 5, 4, 6, 5, 5, 4, 7, 5, 3, 7, 6, 7, 5, 2, 2, 3, 6, 7, 4, 4, 5, 5, 5, 4, 5, 4, 3, 2, 4, 4, 4, 6, 5, 5, 5, 2, 5, 6, 1, 2, 3, 2, 6, 2, 5, 6, 5, 0, 5, 6, 6, 4, 4, 6, 6, 2, 4, 4, 6, 3, 5, 4, 6, 7, 6, 6, 3, 2, 4, 4, 5, 3, 3, 4, 2, 4, 5, 5, 4, 3, 4, 2, 3, 5, 3, 5, 4, 4, 4, 3, 6, 4, 6, 6, 3, 3, 6, 7, 3, 6, 4, 7, 6, 5, 4, 5, 7, 7, 4, 3, 7, 5, 6, 4, 4, 1, 3, 4, 5, 4, 7, 1, 4, 4, 6, 5, 6, 4, 5, 5, 2, 3, 5, 6, 3, 5, 3, 5, 4, 5, 6, 3, 6, 4, 2, 4, 3, 3, 3, 3, 5, 7, 4, 6, 2, 5, 4, 4, 3, 5, 2, 6, 5, 3, 4, 7, 5, 5, 6, 3, 5, 6, 5, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 4, 6, 7, 3, 7, 7, 4, 1 3, 3, 3, 6, 4, 4, 4, 5, 5, 6, 3, 3, 6, 5, 7, 3, 5, 6, 7, 3, 4, 4, 4, 5, 5, 5, 6, 4, 6, 4, 3, 4, 5, 4, 6, 5, 6, 1, 6, 3, 3, 5, 6, 5, 5, 6, 1, 4, 6, 6, 5, 5, 4, 3, 3, 6, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 3, 4, 3, 6, 7, 2, 4, 6, 3, 5, 6, 4, 4, 5, 5, 4, 4, 2, 6, 5, 6, 7, 4, 6, 4, 5, 4, 3, 5, 4, 6, 3, 4, 3, 2, 3, 2, 6, 6, 3, 5, 3, 4, 8, 4, 3, 4, 6, 4, 5, 5, 4, 5, 1, 4, 3, 5, 3, 7, 7, 6, 4, 6, 4, 7, 8, 5, 4, 5, 5, 2, 5, 6, 7, 5, 3, 6, 3, 3, 4, 5, 4, 5, 6, 6, 6, 4, 5, 4, 6, 3, 6, 6, 6, 4, 6, 4, 3, 4, 1, 3, 4, 3, 4, 5, 6, 4, 5, 6, 8, 5, 6, 6, 6, 3, 6, 4, 6, 6, 5, 5, 5, 6, 1, 2, 4, 5, 5, 4, 7, 4, 4, 4, 4, 4, 6, 5, 7, 4, 6, 4, 5, 1, 5, 1, 5, 5, 4, 5, 3, 6, 3, 6, 5, 4, 4, 5, 4, 5, 6, 6, 4, 8, 3, 3, 5, 2, 5, 7, 4, 7, 5, 2, 3, 5, 6, 5, 4, 3, 3, 6, 4, 6, 7, 5, 4, 5, 3, 5, 6, 6, 3, 7, 4, 2, 6, 1, 5, 6, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 6, 3, 2, 5, 4, 5, 5, 4, 5, 3, 2, 4, 6, 3, 4, 4, 5, 4, 7, 3, 5, 4, 5, 5, 5, 9, 5, 6, 3, 1, 5, 5, 3, 4, 3, 4, 4, 3, 6, 6, 7, 5, 4, 7, 4, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 5, 3, 2, 5, 4, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 0, 6, 5, 2, 4, 3, 5, 7, 4, 5, 3, 7, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 2, 2, 4, 6, 4, 6, 4, 4, 6, 6, 5, 3, 3, 8, 4, 6, 4, 4, 3, 5, 4, 6, 2, 6, 4, 7, 3, 4, 4, 5, 4, 4, 4, 5, 1, 0, 5, 6, 7, 7, 5, 2, 6, 1, 3, 3, 4, 2, 6, 5, 6, 1, 2, 4, 3, 4, 6, 4, 2, 4, 6, 4, 5, 6, 5, 4, 6, 4, 5, 5, 5, 6, 4, 5, 3, 7, 5, 4, 2, 5, 7, 6, 5, 7, 2, 4, 2, 4, 7, 3, 4, 5, 5, 3, 6, 6, 6, 7, 5, 5, 5, 6, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 2, 5, 5, 3, 4, 6, 5, 4, 6, 7, 6, 6, 5, 6, 6, 3, 5, 3, -1 3, 5, 6, 4, 2, 0, 4, 5, 6, 5, 5, 5, 3, 3, 6, 4, 3, 3, 4, 7, 7, 6, 4, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 7, 6, 5, 4, 4, 3, 5, 5, 5, 4, 6, 4, 5, 4, 4, 6, 3, 6, 3, 6, 3, 4, 6, 4, 4, 4, 3, 5, 2, 4, 2, 6, 6, 5, 6, 2, 4, 5, 4, 5, 3, 3, 4, 5, 8, 3, 5, 0, 4, 3, 4, 6, 5, 5, 4, 4, 4, 4, 7, 8, 6, 3, 5, 2, 3, 3, 5, 6, 6, 3, 4, 4, 4, 6, 4, 4, 4, 4, 2, 6, 7, 3, 2, 5, 5, 6, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 6, 3, 2, 5, 6, 6, 5, 5, 3, 4, 3, 4, 5, 7, 6, 2, 8, 3, 3, 4, 5, 4, 4, 6, 3, 6, 4, 6, 6, 4, 4, 4, 4, 6, 6, 3, 5, 6, 4, 7, 2, 4, 6, 4, 4, 4, 7, 3, 1, 4, 5, 6, 3, 5, 6, 3, 3, 6, 5, 5, 5, 7, 5, 2, 4, 4, 6, 3, 8, 4, 5, 5, 3, 5, 7, 5, 3, 4, 3, 6, 5, 5, 5, 7, 5, 4, 5, 4, 4, 5, 6, 3, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 2, 3, 6, 4, 4, 6, 6, 7, 5, 4, 2, 1, 5, 4, 1, 5, 7, 4, 2, 4, 3, 2, 3, 7, 4, 4, 2, 6, 4, 5, 6, 6, 4, 3, 3, 7, 3, 4, 4, 4, 3, 5, 2, 5, 3, 9, 4, 4, 4, 3, 2, 3, 4, 5, 4, 7, 7, 4, 3, 6, 4, 4, 3, 4, 5, 2, 2, 5, 6, 5, 4, 3, 2, 4, 7, 3, 8, 6, 4, 6, 4, 4, 6, 3, 4, 4, 6, 3, 2, 4, 7, 5, 4, 3, 4, 5, 6, 7, 3, 5, 4, 7, 3, 5, 8, 5, 5, 7, 5, 4, 5, 6, 5, 4, 6, 4, 5, 2, 5, 5, 3, 4, 5, 5, 2, 3, 3, 5, 5, 5, 4, 5, 4, 4, 5, 2, 2, 6, 2, 7, 8, 3, 4, 4, 4, 3, 4, 6, 4, 3, 4, 4, 2, 3, 3, 5, 2, 6, 5, 4, 4, 3, 4, 1, 5, 4, 4, 4, 1, 7, 4, 5, 6, 3, 4, 6, 2, 2, 4, 4, 6, 3, 3, 3, 2, 6, 4, 3, 2, 4, 2, 6, 4, 3, 4, 6, 4, 6, 2, 6, 2, 9, 2, 4, 3, 3, 5, 6, 5, 5, 5, 7, 6, 4, 2, 3, 4, 5, 7, 2, 3, 5, 6, 6, 4, 4, 5, 3, 1, 4, 5, 4, 7, 5, 3, 4, 8, 0, 5, 7, 3, 7, 5, 3, 1, 5, 4, 4, 2, 3, 5, 4, 6, 3, 5, 3, 4, 3, 6, 6, 4, 4, 5, 4, 6, 3, 2, 3, 5, -1 4, 5, 5, 5, 2, 5, 7, 4, 6, 4, 5, 2, 8, 1, 1, 4, 4, 4, 4, 6, 4, 4, 6, 6, 3, 5, 4, 1, 6, 5, 3, 4, 4, 5, 4, 1, 3, 6, 2, 4, 5, 5, 4, 1, 6, 6, 3, 2, 1, 5, 4, 5, 8, 4, 5, 5, 5, 0, 4, 5, 6, 3, 4, 3, 3, 1, 3, 3, 4, 4, 5, 5, 6, 4, 5, 4, 4, 5, 6, 3, 4, 5, 1, 5, 3, 5, 5, 7, 6, 5, 4, 6, 3, 2, 5, 5, 4, 2, 1, 4, 6, 6, 5, 8, 5, 4, 6, 3, 5, 5, 5, 4, 6, 4, 5, 5, 6, 4, 5, 4, 6, 6, 4, 3, 4, 1, 5, 7, 4, 6, 3, 4, 4, 3, 4, 4, 2, 8, 5, 2, 4, 5, 3, 5, 3, 4, 8, 4, 6, 3, 3, 6, 5, 3, 6, 2, 6, 5, 5, 6, 6, 3, 3, 4, 4, 2, 5, 4, 4, 5, 3, 4, 2, 2, 3, 4, 7, 5, 6, 5, 6, 4, 5, 4, 5, 6, 3, 3, 6, 5, 4, 6, 2, 5, 3, 6, 0, 6, 5, 3, 6, 6, 3, 5, 4, 4, 7, 3, 5, 3, 5, 7, 4, 7, 4, 7, 7, 1, 5, 4, 4, 4, 5, 6, 5, 2, 4, 7, 8, 4, 0, 3, 3, 5, 2, 3, 7, 3, 5, 4, 6, 5, 4, 5, 6, 4, 2, 2, 3, 4, 7, 6, 7, 1, 5, 5, 3, 4, 7, 6, 5, 6, 6, 4, 5, 5, 4, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 5, 4, 5, 3, 6, 4, 6, 3, 4, 3, 4, 2, 7, 7, 5, 6, 3, 7, 4, 5, 2, 6, 3, 5, 3, 3, 5, 5, 4, 5, 2, 5, 3, 7, 6, 2, 8, 3, 4, 6, 6, 6, 5, 7, 4, 3, 5, 3, 6, 5, 2, 4, 4, 3, 4, 3, 7, 4, 3, 3, 5, 3, 3, 6, 8, 3, 5, 4, 3, 6, 4, 2, 6, 4, 4, 6, 3, 5, 6, 7, 3, 2, 5, 3, 6, 5, 5, 3, 6, 3, 4, 5, 5, 5, 1, 3, 4, 5, 9, 5, 1, 5, 5, 5, 4, 5, 4, 3, 5, 2, 5, 4, 5, 7, 1, 4, 5, 5, 4, 4, 2, 4, 5, 6, 2, 7, 3, 2, 5, 7, 6, 5, 7, 5, 3, 3, 4, 4, 4, 6, 2, 2, 6, 5, 2, 4, 7, 7, 4, 1, 2, 3, 2, 4, 5, 3, 2, 3, 4, 4, 4, 3, 6, 7, 5, 4, 4, 2, 4, 4, 5, 7, 5, 5, 1, 3, 8, 4, 5, 2, 4, 6, 4, 3, 3, 3, 2, 3, 5, 3, 4, 7, 2, 7, 5, 5, 6, 5, 4, 6, 3, 7, 4, 5, 4, 5, 1, 3, 4, 3, 3, 3, 7, 4, 2, 3, 3, 3, 5, 6, 4, 3, -1 2, 5, 5, 6, 5, 4, 5, 5, 4, 2, 4, 4, 6, 4, 7, 2, 3, 2, 4, 5, 6, 6, 7, 5, 2, 7, 4, 4, 6, 6, 5, 3, 5, 6, 6, 4, 4, 5, 6, 6, 3, 4, 4, 2, 4, 4, 5, 4, 3, 8, 6, 2, 4, 1, 6, 5, 2, 5, 1, 3, 5, 6, 3, 4, 3, 5, 4, 6, 7, 6, 4, 4, 4, 6, 5, 5, 4, 3, 3, 5, 4, 2, 4, 6, 6, 6, 3, 4, 4, 5, 2, 5, 4, 5, 3, 6, 6, 3, 5, 4, 3, 4, 7, 5, 1, 5, 5, 6, 4, 3, 5, 5, 6, 5, 5, 4, 5, 2, 5, 4, 4, 4, 7, 5, 4, 4, 3, 6, 6, 7, 3, 5, 6, 7, 5, 6, 5, 5, 3, 4, 6, 2, 3, 3, 3, 4, 4, 5, 5, 6, 8, 3, 4, 4, 6, 4, 5, 6, 5, 3, 3, 7, 5, 5, 6, 3, 7, 5, 3, 5, 6, 4, 5, 8, 4, 4, 2, 4, 5, 3, 5, 4, 3, 5, 4, 2, 6, 7, 5, 3, 6, 6, 4, 4, 5, 5, 7, 6, 7, 4, 6, 6, 4, 5, 2, 5, 5, 6, 4, 4, 4, 6, 5, 4, 6, 3, 4, 3, 7, 6, 4, 4, 6, 6, 2, 3, 4, 5, 4, 6, 4, 5, 4, 4, 3, 5, 2, 7, 6, 8, 3, 4, 4, 3, 4, 4, 6, 4, 4, 4, 5, 6, 5, 4, 5, 4, 5, 5, 4, 2, 6, 6, 5, 5, 4, 4, 6, 5, 3, 4, 5, 7, 5, 3, 5, 5, 4, 5, 5, 3, 4, 4, 6, 4, 4, 6, 6, 4, 5, 5, 5, 6, 7, 4, 5, 5, 5, 3, 6, 6, 2, 3, 4, 6, 5, 5, 3, 5, 5, 6, 3, 4, 4, 3, 4, 5, 4, 5, 7, 4, 2, 7, 4, 3, 4, 5, 6, 4, 5, 6, 3, 6, 5, 5, 4, 6, 3, 5, 4, 5, 3, 4, 5, 7, 3, 4, 4, 6, 2, 3, 4, 4, 6, 4, 3, 6, 6, 3, 5, 6, 4, 3, 5, 5, 5, 4, 3, 5, 6, 2, 3, 3, 4, 6, 3, 4, 4, 4, 2, 5, 4, 3, 2, 7, 5, 3, 5, 5, 7, 5, 6, 1, 1, 6, 4, 4, 6, 6, 6, 3, 3, 4, 7, 2, 3, 5, 3, 7, 5, 9, 6, 2, 7, 3, 0, 4, 4, 5, 4, 5, 1, 5, 7, 4, 6, 4, 5, 3, 5, 4, 3, 5, 5, 4, 4, 6, 5, 4, 4, 4, 2, 8, 6, 4, 5, 2, 3, 4, 4, 8, 5, 6, 5, 6, 4, 2, 5, 6, 6, 4, 4, 2, 6, 6, 5, 5, 4, 4, 2, 5, 2, 3, 5, 4, 4, 3, 6, 7, 4, 2, 7, 4, 3, 7, 6, 3, 5, 7, 4, 4, 6, 4, 4, 5, 6, 4, 5, 4, 5, 4, 1 7, 2, 4, 4, 4, 1, 5, 6, 5, 3, 5, 4, 6, 5, 3, 8, 2, 5, 3, 2, 2, 2, 4, 5, 5, 9, 3, 3, 4, 5, 4, 6, 4, 5, 4, 6, 6, 6, 6, 3, 3, 3, 5, 6, 5, 5, 2, 6, 3, 6, 7, 4, 2, 5, 3, 4, 7, 3, 4, 6, 6, 5, 2, 5, 1, 4, 2, 7, 2, 5, 4, 5, 0, 8, 4, 5, 4, 5, 4, 5, 3, 2, 2, 5, 5, 5, 1, 4, 4, 6, 4, 4, 2, 2, 5, 7, 5, 5, 5, 4, 7, 4, 2, 4, 3, 6, 5, 4, 5, 3, 5, 6, 4, 7, 3, 7, 3, 5, 5, 4, 3, 3, 4, 2, 6, 5, 7, 3, 7, 5, 4, 3, 5, 4, 4, 4, 3, 4, 7, 4, 2, 4, 4, 3, 3, 4, 2, 7, 5, 5, 4, 3, 6, 6, 6, 3, 5, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 8, 3, 5, 3, 5, 5, 7, 3, 5, 3, 5, 3, 5, 5, 5, 6, 5, 6, 4, 6, 6, 4, 5, 4, 7, 3, 4, 5, 6, 3, 4, 2, 4, 6, 6, 3, 5, 4, 5, 5, 5, 3, 5, 7, 5, 6, 5, 1, 3, 6, 7, 4, 3, 3, 5, 4, 3, 3, 4, 3, 3, 5, 4, 5, 4, 5, 4, 3, 5, 6, 3, 7, 0, 7, 4, 4, 5, 2, 3, 5, 6, 5, 5, 3, 5, 5, 5, 9, 2, 3, 5, 4, 3, 5, 4, 6, 4, 4, 2, 3, 6, 5, 5, 4, 3, 3, 4, 6, 6, 5, 5, 5, 4, 5, 6, 6, 5, 4, 3, 4, 3, 6, 5, 3, 5, 4, 5, 3, 5, 4, 5, 5, 7, 3, 8, 4, 4, 5, 5, 6, 4, 6, 4, 3, 6, 2, 2, 5, 4, 4, 3, 6, 6, 4, 2, 6, 7, 2, 9, 4, 5, 5, 5, 4, 4, 4, 0, 5, 2, 6, 6, 6, 5, 4, 7, 3, 8, 4, 5, 4, 6, 7, 5, 4, 4, 5, 5, 3, 7, 4, 5, 5, 5, 3, 4, 6, 4, 3, 4, 5, 5, 7, 5, 4, 3, 4, 4, 4, 3, 6, 2, 0, 4, 6, 4, 6, 6, 4, 2, 4, 3, 4, 4, 3, 5, 4, 6, 6, 4, 0, 2, 5, 5, 6, 3, 6, 5, 6, 5, 5, 4, 3, 6, 4, 3, 4, 2, 4, 3, 6, 4, 5, 5, 7, 6, 4, 7, 3, 6, 4, 4, 2, 3, 6, 3, 5, 2, 4, 6, 3, 4, 5, 4, 4, 3, 8, 6, 3, 3, 5, 4, 4, 6, 6, 5, 2, 4, 2, 4, 5, 2, 3, 5, 7, 3, 4, 6, 3, 6, 5, 3, 5, 4, 4, 7, 7, 4, 5, 3, 4, 4, 4, 2, 6, 5, 3, 6, 6, 3, 4, 4, 4, 6, 5, 6, 6, 4, 4, 2, 4, 1 3, 3, 4, 5, 7, 4, 8, 5, 4, 4, 5, 6, 4, 5, 3, 3, 4, 4, 4, 5, 6, 6, 5, 4, 5, 3, 4, 1, 4, 2, 6, 4, 4, 5, 5, 4, 7, 3, 4, 7, 4, 3, 5, 4, 6, 4, 6, 6, 4, 8, 4, 5, 5, 2, 7, 7, 6, 5, 4, 5, 7, 4, 3, 6, 6, 4, 4, 7, 3, 5, 7, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 2, 3, 4, 7, 4, 4, 4, 5, 4, 2, 5, 3, 5, 1, 3, 7, 6, 4, 5, 6, 7, 2, 6, 3, 3, 5, 5, 7, 4, 1, 3, 4, 4, 6, 2, 3, 5, 5, 5, 3, 6, 6, 5, 7, 3, 8, 6, 3, 6, 6, 3, 5, 4, 7, 6, 4, 2, 3, 6, 5, 7, 5, 2, 4, 3, 5, 5, 5, 7, 6, 5, 6, 3, 4, 5, 3, 2, 4, 7, 7, 5, 6, 4, 5, 3, 5, 4, 6, 4, 3, 4, 4, 4, 5, 5, 7, 4, 3, 5, 5, 6, 5, 4, 5, 2, 7, 3, 4, 5, 3, 4, 4, 5, 6, 5, 3, 6, 5, 2, 3, 6, 3, 6, 4, 4, 3, 6, 5, 5, 5, 4, 3, 4, 3, 4, 6, 5, 3, 7, 5, 4, 2, 3, 4, 5, 5, 6, 8, 4, 3, 4, 4, 4, 2, 6, 4, 4, 6, 6, 3, 4, 2, 4, 4, 6, 5, 5, 3, 6, 3, 5, 3, 5, 5, 5, 5, 5, 6, 4, 6, 6, 7, 4, 4, 5, 4, 3, 7, 5, 3, 3, 6, 3, 7, 7, 7, 5, 5, 5, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 1, 6, 5, 4, 4, 3, 5, 6, 5, 0, 6, 6, 5, 4, 3, 2, 3, 4, 5, 3, 6, 3, 6, 3, 5, 6, 4, 8, 4, 3, 2, 6, 4, 4, 5, 3, 3, 2, 5, 5, 2, 5, 5, 2, 5, 1, 6, 5, 5, 5, 2, 3, 4, 5, 3, 3, 7, 3, 4, 3, 3, 4, 2, 5, 3, 4, 5, 5, 8, 6, 6, 5, 4, 5, 7, 4, 2, 7, 3, 5, 5, 6, 5, 5, 5, 5, 4, 3, 1, 5, 2, 4, 3, 3, 7, 4, 4, 5, 4, 6, 6, 9, 4, 8, 5, 4, 5, 4, 5, 3, 5, 4, 7, 5, 4, 5, 5, 7, 3, 4, 6, 5, 5, 5, 5, 3, 6, 3, 3, 6, 4, 4, 6, 6, 5, 4, 4, 5, 6, 3, 0, 4, 7, 3, 4, 7, 6, 3, 5, 4, 5, 4, 5, 5, 4, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 2, 6, 4, 3, 4, 6, 4, 2, 5, 3, 5, 4, 2, 5, 4, 4, 4, 4, 3, 4, 4, 2, 5, 3, 5, 5, 3, 5, 4, 3, 4, 5, 6, 4, 3, 5, -1 4, 4, 6, 2, 4, 6, 2, 3, 4, 5, 5, 6, 6, 6, 6, 4, 2, 7, 5, 3, 4, 3, 4, 6, 4, 6, 3, 2, 1, 2, 2, 2, 4, 4, 4, 5, 2, 5, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 2, 5, 3, 5, 5, 5, 2, 5, 4, 5, 4, 3, 5, 4, 4, 2, 6, 4, 2, 7, 7, 4, 6, 5, 3, 3, 5, 6, 5, 6, 1, 7, 6, 2, 2, 6, 3, 4, 6, 5, 6, 5, 7, 4, 4, 1, 5, 7, 5, 5, 3, 5, 6, 4, 4, 2, 4, 1, 6, 7, 4, 3, 6, 5, 3, 3, 5, 6, 6, 4, 4, 4, 4, 6, 3, 6, 5, 5, 5, 6, 0, 5, 4, 6, 4, 5, 5, 4, 3, 6, 4, 3, 4, 4, 5, 3, 4, 6, 4, 5, 5, 4, 4, 4, 9, 3, 4, 6, 8, 5, 5, 3, 7, 4, 4, 5, 3, 2, 5, 3, 7, 6, 3, 5, 7, 6, 5, 5, 6, 5, 7, 4, 7, 3, 6, 6, 5, 6, 3, 4, 4, 4, 6, 3, 3, 5, 2, 3, 4, 6, 4, 4, 4, 3, 4, 5, 4, 4, 6, 6, 5, 3, 3, 5, 6, 6, 4, 4, 4, 4, 3, 3, 2, 6, 4, 3, 2, 5, 5, 4, 3, 6, 6, 3, 1, 6, 9, 7, 4, 7, 2, 4, 8, 4, 5, 3, 5, 7, 5, 2, 5, 3, 3, 7, 3, 4, 4, 2, 6, 7, 4, 4, 5, 4, 3, 6, 6, 0, 3, 4, 3, 2, 3, 2, 8, 4, 4, 6, 7, 4, 6, 4, 4, 3, 3, 5, 7, 5, 6, 4, 6, 4, 7, 5, 3, 6, 4, 4, 6, 4, 3, 6, 4, 4, 5, 0, 4, 4, 4, 8, 3, 7, 5, 5, 5, 5, 2, 5, 5, 2, 1, 5, 5, 6, 3, 3, 5, 4, 5, 3, 6, 4, 3, 5, 2, 3, 5, 6, 6, 5, 7, 8, 5, 4, 5, 3, 4, 6, 4, 3, 5, 1, 5, 4, 5, 3, 2, 5, 3, 1, 5, 5, 4, 3, 2, 5, 4, 5, 3, 3, 4, 5, 2, 3, 4, 3, 2, 6, 3, 4, 2, 3, 4, 5, 4, 4, 7, 6, 5, 4, 7, 5, 4, 6, 6, 3, 4, 6, 6, 7, 5, 6, 5, 4, 5, 5, 3, 3, 6, 7, 4, 3, 4, 3, 5, 3, 3, 3, 6, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 3, 2, 6, 3, 4, 3, 6, 5, 2, 6, 3, 4, 6, 4, 1, 3, 4, 3, 4, 5, 4, 1, 4, 3, 5, 7, 3, 5, 5, 4, 4, 4, 2, 1, 7, 2, 5, 5, 6, 6, 3, 5, 7, 5, 6, 4, 5, 6, 3, 4, 6, 5, 3, 7, 4, 8, 3, 4, 4, 6, 4, 5, 5, 2, 3, 4, 6, 5, 3, 1, 1 3, 5, 5, 3, 3, 8, 7, 6, 5, 5, 3, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 0, 7, 4, 6, 4, 5, 4, 5, 8, 3, 2, 4, 3, 4, 3, 6, 3, 4, 6, 4, 5, 7, 4, 6, 5, 3, 4, 4, 6, 4, 4, 6, 3, 3, 5, 4, 4, 7, 4, 5, 5, 6, 5, 4, 3, 5, 1, 1, 4, 3, 2, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 4, 7, 7, 3, 5, 5, 6, 4, 3, 5, 5, 6, 7, 3, 4, 5, 5, 6, 6, 1, 4, 5, 2, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 5, 3, 6, 7, 5, 4, 6, 4, 3, 4, 7, 4, 6, 4, 5, 4, 6, 4, 1, 3, 7, 2, 4, 7, 3, 5, 4, 6, 3, 4, 5, 6, 5, 5, 6, 5, 5, 3, 4, 3, 5, 5, 5, 3, 4, 3, 4, 6, 5, 1, 5, 7, 4, 9, 5, 5, 4, 4, 4, 5, 2, 4, 5, 3, 4, 5, 6, 6, 4, 5, 3, 3, 5, 4, 7, 6, 3, 2, 5, 3, 4, 4, 5, 5, 4, 3, 6, 3, 2, 3, 3, 3, 2, 8, 3, 2, 5, 4, 6, 3, 3, 3, 6, 3, 5, 5, 6, 4, 3, 4, 4, 6, 3, 5, 3, 5, 6, 4, 4, 4, 2, 4, 4, 6, 5, 2, 2, 4, 5, 3, 4, 4, 7, 4, 3, 6, 4, 5, 6, 3, 7, 3, 5, 3, 2, 6, 4, 4, 3, 4, 5, 3, 6, 3, 4, 3, 3, 5, 4, 6, 5, 4, 5, 5, 6, 4, 6, 5, 2, 2, 7, 6, 5, 5, 6, 4, 6, 1, 6, 4, 4, 4, 4, 5, 4, 6, 4, 5, 3, 6, 5, 5, 5, 5, 7, 5, 7, 5, 6, 6, 3, 5, 2, 4, 7, 3, 6, 5, 3, 5, 2, 3, 4, 5, 6, 6, 3, 3, 2, 4, 4, 5, 3, 6, 3, 6, 5, 4, 5, 4, 1, 3, 7, 3, 3, 4, 4, 6, 4, 5, 5, 5, 6, 3, 4, 4, 7, 6, 6, 4, 3, 6, 4, 5, 4, 1, 7, 4, 5, 3, 5, 4, 6, 5, 7, 2, 4, 6, 4, 3, 4, 5, 4, 6, 5, 5, 5, 3, 4, 5, 6, 3, 3, 3, 4, 4, 4, 4, 4, 2, 5, 6, 4, 5, 5, 8, 8, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 7, 5, 5, 5, 6, 4, 5, 5, 4, 7, 4, 3, 5, 2, 6, 3, 5, 4, 4, 4, 5, 4, 6, 2, 5, 0, 6, 6, 6, 5, 5, 5, 6, 4, 4, 6, 5, 1, 5, 3, 3, 2, 3, 2, 1, 3, 4, 5, 6, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 3, 4, 6, 4, 5, 5, 3, 4, 3, 5, 4, 5, -1 4, 5, 2, 3, 3, 1, 4, 8, 4, 6, 5, 3, 4, 1, 4, 7, 3, 4, 4, 5, 6, 8, 6, 4, 2, 2, 3, 8, 9, 4, 3, 2, 5, 3, 4, 3, 2, 4, 2, 2, 3, 3, 2, 6, 6, 6, 3, 5, 4, 6, 6, 6, 5, 2, 4, 2, 5, 6, 2, 3, 6, 5, 3, 6, 6, 4, 2, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 6, 8, 4, 7, 1, 4, 3, 6, 5, 4, 6, 7, 5, 7, 4, 2, 4, 2, 4, 3, 5, 5, 4, 4, 5, 6, 3, 4, 5, 7, 5, 6, 7, 4, 4, 4, 3, 5, 3, 7, 5, 4, 3, 4, 5, 3, 7, 5, 6, 6, 7, 6, 4, 3, 3, 7, 6, 4, 2, 3, 5, 6, 2, 4, 0, 5, 4, 5, 5, 2, 4, 7, 4, 6, 4, 7, 7, 6, 6, 5, 4, 4, 4, 2, 3, 4, 6, 4, 6, 5, 6, 4, 5, 6, 4, 2, 6, 2, 5, 1, 3, 5, 3, 5, 5, 4, 5, 4, 3, 5, 4, 3, 5, 7, 5, 5, 6, 3, 6, 5, 5, 7, 3, 0, 5, 3, 6, 5, 3, 4, 2, 6, 2, 4, 6, 2, 4, 4, 3, 4, 6, 3, 6, 4, 5, 5, 2, 5, 1, 4, 2, 4, 6, 3, 5, 3, 5, 7, 6, 3, 5, 3, 4, 6, 4, 4, 5, 5, 4, 2, 7, 6, 6, 8, 6, 5, 3, 3, 4, 4, 5, 6, 5, 4, 4, 5, 3, 3, 5, 6, 7, 2, 5, 5, 0, 5, 2, 5, 4, 2, 4, 5, 6, 4, 7, 6, 3, 4, 4, 5, 5, 3, 3, 3, 4, 5, 2, 5, 6, 5, 3, 6, 3, 5, 4, 4, 3, 3, 5, 6, 3, 2, 5, 5, 4, 2, 4, 4, 5, 5, 5, 8, 5, 5, 4, 4, 5, 4, 2, 5, 5, 4, 3, 4, 4, 7, 3, 7, 5, 5, 7, 2, 5, 6, 6, 3, 5, 3, 3, 3, 6, 2, 3, 5, 5, 4, 6, 5, 5, 3, 4, 4, 9, 2, 4, 4, 1, 5, 8, 4, 6, 5, 5, 6, 5, 4, 3, 7, 6, 6, 6, 3, 3, 3, 2, 3, 4, 3, 4, 4, 2, 2, 4, 4, 3, 5, 5, 7, 5, 3, 7, 5, 5, 5, 4, 4, 5, 3, 1, 5, 7, 4, 6, 5, 2, 3, 5, 4, 4, 4, 5, 4, 3, 3, 8, 8, 4, 5, 6, 2, 4, 6, 1, 7, 5, 6, 7, 5, 3, 4, 3, 4, 5, 4, 5, 2, 3, 3, 7, 6, 6, 5, 4, 3, 8, 6, 6, 5, 5, 6, 5, 5, 3, 3, 3, 4, 7, 4, 0, 5, 4, 4, 2, 2, 3, 1, 5, 2, 4, 5, 4, 6, 2, 5, 3, 6, 4, 6, 5, 6, 3, 2, 5, 3, 3, 4, 5, 4, 6, 7, 4, 5, 3, -1 5, 5, 5, 2, 4, 6, 4, 7, 4, 4, 3, 4, 3, 2, 7, 6, 0, 6, 3, 5, 5, 5, 6, 3, 5, 5, 6, 8, 3, 5, 4, 4, 3, 6, 6, 4, 5, 3, 3, 4, 7, 4, 4, 5, 5, 3, 1, 4, 5, 3, 1, 4, 3, 2, 3, 3, 3, 6, 3, 2, 5, 4, 3, 5, 7, 5, 2, 5, 5, 3, 2, 5, 3, 4, 1, 5, 5, 5, 5, 5, 4, 4, 5, 4, 6, 4, 2, 2, 6, 5, 2, 3, 6, 1, 5, 7, 4, 3, 5, 3, 7, 3, 6, 4, 0, 4, 6, 3, 7, 3, 4, 2, 3, 5, 7, 6, 3, 4, 5, 6, 4, 5, 4, 5, 6, 3, 5, 6, 4, 3, 2, 2, 6, 3, 2, 4, 7, 3, 4, 3, 3, 6, 6, 3, 6, 5, 6, 3, 2, 7, 3, 2, 4, 7, 4, 5, 5, 5, 5, 4, 6, 3, 6, 6, 4, 4, 4, 2, 4, 4, 4, 5, 5, 8, 4, 5, 5, 1, 7, 3, 5, 6, 3, 3, 5, 7, 4, 5, 3, 7, 4, 5, 3, 6, 5, 6, 4, 3, 6, 4, 4, 5, 5, 5, 2, 5, 7, 7, 5, 4, 3, 3, 2, 2, 6, 6, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 4, 5, 5, 2, 6, 4, 7, 6, 5, 6, 7, 5, 5, 2, 4, 4, 5, 4, 5, 4, 4, 2, 4, 5, 4, 2, 3, 1, 3, 8, 4, 4, 5, 5, 4, 6, 4, 6, 5, 4, 4, 4, 4, 3, 6, 1, 3, 7, 2, 2, 6, 4, 4, 8, 4, 4, 6, 5, 6, 3, 6, 4, 3, 5, 8, 3, 6, 4, 2, 3, 4, 5, 5, 7, 3, 6, 3, 4, 4, 4, 3, 5, 3, 5, 6, 5, 2, 2, 6, 3, 4, 5, 4, 8, 4, 4, 4, 3, 5, 3, 2, 4, 4, 4, 2, 4, 5, 5, 6, 6, 4, 4, 3, 5, 5, 4, 6, 5, 4, 6, 5, 2, 3, 5, 4, 4, 6, 5, 6, 1, 6, 4, 5, 5, 3, 4, 6, 3, 8, 4, 6, 5, 4, 2, 6, 6, 5, 6, 6, 3, 5, 4, 5, 3, 3, 5, 4, 7, 6, 4, 3, 7, 5, 2, 3, 5, 3, 4, 3, 5, 7, 3, 6, 5, 4, 3, 3, 6, 5, 3, 4, 5, 4, 5, 7, 6, 3, 4, 4, 5, 3, 2, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 6, 3, 3, 6, 4, 4, 3, 5, 3, 5, 6, 4, 6, 7, 2, 5, 4, 4, 6, 2, 3, 3, 4, 8, 3, 4, 5, 3, 3, 6, 8, 5, 5, 4, 8, 3, 4, 6, 4, 3, 7, 3, 6, 4, 5, 2, 7, 5, 5, 5, 3, 4, 5, 5, 4, 8, 4, 6, 3, 3, 7, 5, 6, 7, 4, 4, 2, 3, 5, 4, 1 2, 4, 6, 3, 4, 5, 3, 6, 4, 4, 3, 5, 5, 4, 4, 6, 2, 6, 3, 4, 6, 7, 2, 6, 6, 5, 3, 3, 8, 4, 5, 4, 3, 7, 6, 7, 5, 6, 3, 4, 5, 4, 5, 3, 6, 4, 3, 6, 6, 4, 5, 7, 4, 4, 5, 6, 4, 4, 5, 1, 8, 3, 4, 5, 6, 6, 4, 5, 6, 4, 6, 4, 3, 4, 3, 8, 5, 4, 5, 4, 2, 5, 1, 4, 6, 6, 5, 7, 4, 6, 2, 5, 6, 4, 4, 2, 5, 2, 3, 6, 5, 5, 2, 4, 4, 5, 5, 5, 2, 5, 3, 5, 6, 5, 4, 5, 4, 5, 5, 5, 4, 5, 6, 3, 8, 5, 5, 6, 5, 5, 2, 4, 6, 2, 6, 4, 1, 3, 4, 4, 2, 7, 4, 4, 6, 4, 5, 3, 4, 6, 3, 4, 3, 4, 6, 2, 7, 4, 4, 4, 6, 5, 5, 4, 3, 4, 4, 5, 4, 4, 1, 4, 7, 6, 8, 4, 4, 3, 2, 5, 7, 5, 3, 4, 6, 5, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 4, 4, 2, 3, 5, 4, 3, 3, 4, 5, 6, 2, 6, 7, 3, 4, 5, 2, 5, 5, 5, 6, 6, 2, 6, 3, 6, 9, 4, 2, 5, 4, 4, 6, 6, 4, 5, 6, 5, 4, 5, 5, 4, 4, 3, 5, 3, 3, 5, 6, 5, 3, 3, 2, 4, 4, 5, 3, 5, 5, 3, 4, 5, 4, 7, 7, 3, 4, 6, 3, 6, 2, 5, 2, 7, 7, 5, 5, 3, 4, 5, 6, 4, 3, 5, 4, 6, 4, 4, 3, 3, 4, 4, 3, 4, 6, 5, 4, 5, 5, 5, 5, 6, 6, 5, 5, 3, 6, 5, 7, 5, 3, 5, 5, 3, 5, 7, 3, 5, 5, 5, 6, 4, 3, 3, 2, 4, 4, 4, 5, 4, 6, 7, 3, 6, 4, 4, 3, 6, 5, 5, 4, 4, 5, 7, 5, 3, 5, 3, 5, 5, 7, 4, 5, 5, 5, 5, 4, 3, 6, 4, 2, 7, 4, 6, 2, 4, 5, 3, 5, 4, 5, 4, 3, 7, 5, 7, 5, 5, 3, 3, 5, 3, 2, 5, 4, 5, 5, 6, 5, 5, 4, 6, 7, 4, 6, 5, 6, 4, 4, 5, 4, 3, 2, 5, 6, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 3, 7, 6, 2, 4, 4, 3, 4, 6, 5, 3, 4, 6, 2, 4, 4, 7, 7, 6, 6, 5, 3, 5, 3, 7, 6, 4, 5, 7, 7, 4, 5, 7, 3, 4, 4, 6, 3, 4, 4, 5, 5, 4, 3, 1, 3, 2, 3, 3, 4, 5, 2, 6, 3, 4, 5, 3, 5, 8, 2, 5, 4, 4, 5, 6, 4, 4, 5, 3, 4, 4, 5, 3, 6, 4, 4, 6, 3, 5, 6, 6, -1 2, 3, 6, 3, 5, 4, 3, 3, 5, 3, 6, 4, 9, 7, 6, 5, 4, 4, 4, 3, 7, 3, 4, 5, 3, 5, 3, 3, 3, 4, 4, 1, 5, 4, 8, 3, 5, 4, 3, 5, 5, 4, 7, 8, 5, 6, 1, 6, 6, 4, 5, 3, 4, 6, 5, 6, 5, 2, 2, 2, 6, 3, 4, 4, 3, 4, 3, 6, 1, 5, 5, 4, 5, 3, 6, 5, 4, 4, 5, 4, 2, 1, 6, 3, 4, 5, 3, 5, 7, 5, 4, 5, 4, 5, 5, 5, 5, 6, 6, 3, 4, 6, 3, 6, 3, 6, 6, 6, 0, 6, 2, 3, 6, 5, 3, 6, 2, 4, 5, 3, 3, 3, 5, 6, 6, 2, 3, 6, 6, 7, 6, 4, 6, 7, 4, 3, 1, 5, 3, 5, 3, 2, 3, 4, 5, 5, 4, 5, 6, 6, 4, 5, 3, 3, 4, 1, 8, 5, 7, 2, 5, 5, 4, 5, 4, 3, 9, 5, 3, 5, 4, 6, 6, 8, 5, 5, 4, 5, 3, 5, 3, 5, 3, 3, 7, 3, 2, 3, 6, 5, 8, 4, 6, 5, 3, 4, 4, 5, 7, 4, 3, 6, 3, 7, 2, 3, 4, 5, 7, 4, 3, 5, 5, 2, 6, 5, 2, 6, 2, 8, 6, 3, 3, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 7, 4, 2, 3, 2, 3, 5, 3, 6, 4, 6, 6, 4, 2, 5, 6, 4, 4, 7, 4, 5, 3, 4, 3, 4, 3, 4, 6, 3, 4, 5, 5, 3, 5, 6, 3, 5, 4, 5, 6, 2, 6, 4, 7, 3, 4, 6, 2, 3, 4, 4, 6, 6, 5, 4, 6, 5, 7, 3, 6, 4, 5, 5, 6, 3, 5, 5, 6, 7, 6, 5, 6, 6, 7, 6, 5, 6, 4, 6, 3, 5, 4, 3, 6, 6, 3, 4, 4, 6, 2, 5, 5, 3, 4, 2, 2, 2, 6, 7, 4, 5, 5, 5, 2, 4, 5, 3, 3, 4, 6, 4, 6, 3, 6, 5, 4, 4, 4, 5, 4, 8, 4, 3, 3, 4, 5, 3, 5, 3, 4, 6, 4, 4, 7, 5, 6, 3, 4, 4, 7, 8, 5, 5, 4, 3, 6, 4, 5, 5, 3, 6, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 3, 4, 6, 6, 4, 5, 4, 3, 4, 6, 7, 4, 7, 5, 3, 6, 7, 1, 4, 6, 3, 2, 3, 2, 4, 4, 6, 1, 2, 7, 3, 4, 6, 6, 6, 6, 5, 2, 4, 3, 4, 2, 6, 3, 3, 4, 3, 7, 7, 4, 4, 5, 4, 6, 6, 4, 5, 3, 6, 5, 3, 3, 4, 3, 4, 4, 6, 3, 3, 4, 5, 0, 7, 4, 5, 6, 3, 6, 6, 1, 3, 5, 3, 6, 6, 3, 6, 4, 6, 5, 4, 4, 6, 2, 3, 4, 6, 2, 5, 5, 7, 8, 4, 5, 5, 5, -1 5, 5, 5, 3, 5, 4, 6, 5, 5, 7, 5, 5, 5, 6, 6, 3, 6, 3, 7, 7, 5, 7, 4, 5, 5, 3, 2, 3, 6, 6, 3, 2, 6, 6, 3, 4, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 7, 2, 4, 5, 6, 3, 2, 4, 4, 2, 5, 2, 2, 4, 4, 6, 4, 4, 5, 5, 9, 4, 5, 5, 6, 9, 4, 5, 5, 8, 6, 4, 6, 4, 2, 1, 3, 5, 4, 4, 5, 5, 1, 4, 4, 7, 4, 6, 3, 2, 7, 5, 7, 4, 3, 4, 2, 4, 4, 5, 2, 6, 5, 4, 4, 5, 4, 2, 5, 4, 2, 6, 5, 5, 3, 2, 4, 6, 5, 7, 3, 5, 7, 3, 4, 6, 7, 6, 3, 7, 3, 4, 5, 7, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 6, 2, 6, 7, 4, 2, 1, 6, 4, 4, 4, 5, 1, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 2, 3, 3, 5, 4, 7, 6, 8, 5, 5, 6, 4, 5, 3, 2, 4, 6, 6, 5, 2, 7, 6, 4, 6, 2, 3, 2, 4, 4, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 6, 4, 6, 1, 4, 6, 4, 3, 8, 4, 4, 3, 4, 3, 3, 3, 6, 3, 5, 5, 3, 3, 4, 2, 4, 5, 3, 5, 4, 5, 6, 4, 4, 3, 4, 2, 7, 6, 5, 3, 4, 4, 5, 7, 5, 4, 6, 4, 5, 3, 3, 5, 6, 3, 4, 4, 4, 2, 4, 7, 2, 3, 1, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 5, 4, 4, 6, 3, 6, 0, 4, 6, 3, 4, 5, 6, 3, 7, 4, 6, 5, 4, 3, 7, 4, 3, 4, 3, 6, 4, 2, 5, 3, 4, 5, 3, 5, 4, 2, 3, 1, 4, 4, 4, 5, 7, 3, 3, 5, 4, 3, 2, 4, 4, 3, 4, 6, 4, 3, 4, 5, 3, 5, 5, 4, 3, 3, 5, 8, 4, 8, 3, 6, 6, 6, 3, 5, 5, 3, 5, 8, 3, 4, 5, 5, 5, 5, 4, 2, 3, 3, 5, 1, 6, 2, 6, 5, 4, 3, 7, 7, 5, 2, 5, 5, 4, 4, 4, 6, 1, 3, 5, 6, 6, 3, 6, 4, 8, 6, 5, 5, 3, 6, 3, 3, 2, 4, 5, 4, 4, 6, 5, 5, 2, 6, 7, 5, 4, 5, 4, 5, 5, 4, 3, 4, 6, 3, 5, 4, 4, 4, 5, 6, 6, 7, 6, 4, 6, 6, 5, 5, 6, 5, 5, 5, 3, 3, 4, 4, 5, 3, 6, 3, 6, 5, 3, 6, 4, 4, 4, 3, 3, 6, 4, 3, 3, 6, 3, 5, 4, 3, 3, 3, 6, 4, 7, 5, 4, 3, 7, 3, 2, 4, 4, 4, 5, 4, 2, 5, 4, 1 4, 2, 4, 4, 4, 5, 6, 2, 5, 5, 6, 5, 4, 5, 6, 5, 4, 5, 8, 4, 7, 2, 7, 5, 6, 4, 5, 5, 6, 4, 4, 5, 4, 6, 5, 7, 5, 6, 6, 5, 8, 3, 3, 7, 7, 4, 7, 3, 2, 7, 6, 3, 2, 3, 3, 5, 4, 6, 4, 7, 6, 2, 5, 3, 3, 7, 4, 4, 2, 2, 2, 6, 0, 5, 4, 5, 4, 2, 4, 3, 7, 5, 4, 4, 3, 4, 8, 6, 2, 5, 4, 6, 4, 4, 6, 4, 5, 3, 8, 4, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 3, 5, 2, 3, 3, 5, 7, 4, 4, 4, 2, 6, 4, 3, 5, 6, 5, 5, 6, 4, 4, 1, 5, 8, 7, 6, 4, 4, 4, 4, 3, 5, 5, 4, 6, 4, 2, 9, 5, 8, 6, 4, 6, 7, 4, 5, 6, 5, 2, 5, 3, 5, 2, 3, 5, 4, 6, 4, 2, 4, 5, 6, 4, 7, 4, 2, 5, 4, 4, 4, 2, 6, 2, 6, 6, 3, 6, 4, 5, 6, 8, 2, 3, 4, 1, 3, 3, 4, 6, 5, 8, 6, 5, 4, 0, 5, 5, 4, 5, 6, 2, 4, 3, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 1, 6, 5, 2, 7, 6, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 6, 4, 3, 3, 2, 4, 5, 5, 6, 3, 4, 5, 6, 4, 6, 4, 3, 5, 3, 6, 6, 5, 6, 7, 6, 3, 3, 4, 8, 6, 4, 5, 7, 4, 6, 8, 6, 4, 7, 4, 2, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 1, 4, 6, 5, 5, 5, 4, 5, 8, 7, 4, 4, 3, 2, 6, 3, 3, 3, 5, 6, 5, 4, 5, 6, 5, 3, 2, 4, 6, 6, 2, 6, 3, 4, 5, 6, 4, 2, 5, 5, 6, 3, 4, 2, 4, 4, 2, 3, 3, 3, 4, 4, 1, 6, 4, 7, 4, 4, 5, 2, 4, 3, 2, 7, 3, 5, 5, 7, 6, 5, 4, 7, 5, 6, 4, 4, 3, 6, 6, 6, 4, 4, 7, 2, 6, 5, 5, 6, 5, 6, 5, 6, 3, 5, 5, 3, 6, 3, 5, 2, 5, 4, 5, 6, 6, 2, 4, 7, 7, 3, 5, 4, 3, 4, 3, 3, 4, 4, 6, 5, 5, 5, 5, 4, 1, 2, 2, 5, 4, 5, 3, 5, 4, 5, 3, 6, 3, 2, 7, 5, 5, 2, 5, 8, 5, 6, 5, 3, 5, 3, 3, 5, 3, 5, 6, 5, 5, 4, 7, 4, 3, 1, 7, 5, 3, 4, 5, 2, 6, 5, 5, 4, 4, 6, 5, 5, 4, 3, 4, 7, 5, 3, 6, 5, 5, 3, 2, 6, 3, 5, 5, 5, 3, 4, 4, 5, 4, 3, 6, 6, 4, 6, 3, 3, 5, -1 5, 3, 1, 4, 1, 3, 6, 3, 5, 6, 4, 3, 3, 3, 4, 3, 4, 7, 5, 8, 4, 7, 2, 5, 7, 4, 3, 4, 7, 7, 5, 3, 3, 6, 5, 6, 4, 3, 5, 4, 4, 2, 2, 4, 3, 5, 7, 3, 4, 5, 6, 7, 4, 5, 6, 5, 4, 4, 6, 4, 4, 5, 5, 4, 4, 4, 5, 6, 4, 5, 5, 5, 4, 5, 5, 5, 4, 6, 6, 1, 2, 3, 4, 5, 7, 7, 4, 5, 5, 8, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 2, 5, 2, 4, 3, 6, 6, 6, 3, 6, 5, 7, 5, 4, 5, 5, 2, 5, 4, 6, 2, 3, 6, 6, 6, 6, 4, 7, 6, 6, 4, 4, 6, 5, 3, 5, 3, 2, 6, 6, 3, 2, 5, 4, 4, 4, 6, 4, 2, 2, 6, 4, 5, 5, 3, 4, 5, 5, 3, 6, 7, 3, 4, 6, 5, 5, 2, 3, 1, 3, 5, 2, 5, 7, 3, 6, 4, 3, 6, 6, 5, 6, 3, 5, 5, 3, 4, 5, 6, 5, 6, 5, 5, 3, 3, 3, 3, 6, 3, 4, 5, 4, 5, 5, 4, 6, 6, 4, 4, 6, 2, 2, 4, 2, 5, 5, 4, 5, 3, 7, 6, 4, 5, 4, 6, 6, 7, 4, 4, 7, 5, 4, 5, 4, 3, 4, 3, 5, 7, 6, 6, 4, 1, 4, 5, 2, 4, 6, 8, 5, 4, 5, 6, 4, 3, 6, 3, 4, 5, 5, 6, 4, 4, 5, 4, 6, 6, 3, 4, 5, 4, 4, 6, 1, 5, 3, 4, 5, 4, 4, 3, 5, 6, 5, 4, 2, 3, 4, 5, 1, 6, 5, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 9, 4, 4, 5, 5, 2, 6, 3, 2, 3, 5, 2, 4, 7, 9, 4, 2, 5, 6, 3, 1, 7, 7, 5, 4, 5, 5, 4, 5, 5, 7, 3, 5, 3, 3, 3, 4, 4, 4, 3, 5, 6, 4, 4, 4, 6, 4, 4, 4, 2, 5, 5, 3, 6, 4, 6, 3, 4, 2, 5, 4, 7, 2, 4, 4, 5, 4, 2, 6, 3, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 3, 4, 2, 4, 4, 6, 5, 4, 2, 5, 7, 4, 3, 5, 4, 4, 3, 6, 6, 5, 4, 5, 1, 6, 6, 3, 4, 7, 6, 5, 4, 5, 4, 5, 5, 4, 4, 4, 2, 4, 6, 5, 4, 4, 2, 6, 5, 3, 5, 7, 3, 3, 6, 3, 6, 4, 5, 4, 5, 2, 2, 3, 4, 3, 5, 5, 6, 5, 6, 2, 3, 5, 4, 4, 3, 3, 4, 3, 6, 3, 4, 3, 7, 4, 4, 3, 5, 4, 4, 3, 4, 6, 3, 4, 5, 5, 3, 4, 4, 5, 4, 6, 3, 6, 4, 4, 6, 5, 6, 5, 3, 3, 5, 1, 2, -1 6, 5, 4, 4, 1, 3, 3, 5, 6, 4, 4, 5, 3, 3, 2, 6, 4, 4, 2, 5, 5, 4, 6, 5, 4, 4, 6, 3, 4, 4, 5, 4, 3, 6, 6, 5, 4, 2, 6, 5, 5, 2, 5, 4, 5, 3, 4, 4, 2, 6, 7, 3, 4, 3, 5, 6, 6, 2, 4, 6, 5, 5, 2, 4, 4, 3, 5, 3, 4, 3, 6, 5, 4, 6, 6, 5, 3, 2, 4, 5, 2, 5, 3, 7, 3, 2, 6, 2, 3, 6, 4, 6, 6, 6, 5, 4, 3, 4, 5, 6, 4, 5, 6, 5, 6, 3, 8, 6, 6, 3, 5, 6, 4, 1, 7, 6, 4, 5, 6, 4, 1, 5, 3, 4, 5, 3, 4, 6, 3, 5, 5, 4, 7, 5, 7, 3, 5, 4, 4, 7, 7, 4, 6, 5, 5, 4, 5, 5, 5, 2, 3, 4, 5, 6, 5, 4, 5, 5, 6, 3, 4, 3, 4, 6, 6, 3, 6, 1, 3, 3, 6, 5, 3, 6, 6, 6, 8, 5, 4, 3, 4, 4, 4, 3, 4, 5, 6, 5, 5, 5, 2, 3, 5, 2, 3, 2, 5, 6, 2, 7, 5, 6, 5, 4, 4, 2, 4, 6, 4, 8, 6, 7, 5, 3, 5, 5, 3, 5, 2, 4, 4, 3, 3, 3, 2, 4, 6, 3, 4, 4, 2, 2, 6, 5, 5, 5, 4, 5, 5, 4, 3, 7, 4, 5, 2, 4, 7, 4, 4, 7, 6, 4, 4, 2, 7, 4, 6, 5, 3, 2, 4, 2, 6, 5, 7, 3, 4, 6, 5, 4, 5, 3, 6, 3, 4, 4, 7, 4, 5, 4, 6, 6, 5, 4, 3, 4, 6, 3, 5, 7, 6, 7, 2, 5, 5, 6, 3, 5, 4, 6, 6, 6, 4, 7, 2, 2, 2, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 5, 4, 7, 3, 6, 6, 2, 1, 3, 9, 4, 4, 6, 7, 4, 4, 3, 3, 6, 4, 6, 3, 1, 4, 3, 2, 6, 4, 4, 4, 4, 6, 5, 5, 4, 6, 5, 5, 5, 3, 4, 3, 6, 3, 3, 5, 5, 4, 5, 6, 4, 6, 5, 4, 5, 4, 4, 3, 3, 4, 5, 2, 5, 5, 2, 3, 6, 8, 8, 5, 4, 3, 7, 4, 5, 3, 4, 7, 7, 7, 4, 4, 2, 4, 3, 6, 6, 3, 4, 5, 7, 6, 6, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 6, 4, 0, 7, 4, 6, 3, 2, 5, 7, 5, 6, 4, 4, 6, 2, 5, 4, 2, 2, 3, 5, 5, 7, 5, 4, 7, 5, 3, 3, 3, 4, 4, 6, 5, 4, 6, 5, 3, 6, 5, 3, 4, 5, 4, 6, 3, 4, 5, 5, 3, 4, 3, 6, 5, 4, 6, 5, 6, 3, 3, 4, 5, 4, 4, 5, 3, 4, 5, 3, 5, 3, 3, 4, 4, 6, 6, 7, -1 5, 5, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 5, 6, 4, 2, 2, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 6, 1, 6, 5, 7, 3, 3, 5, 4, 4, 5, 4, 7, 3, 5, 5, 5, 4, 4, 3, 6, 2, 4, 4, 5, 3, 4, 3, 6, 6, 2, 2, 3, 5, 4, 5, 3, 6, 4, 3, 4, 5, 1, 5, 6, 3, 5, 4, 3, 2, 6, 4, 7, 6, 2, 4, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 3, 6, 4, 3, 3, 1, 6, 6, 5, 5, 5, 3, 1, 5, 2, 5, 5, 6, 3, 5, 5, 5, 5, 4, 6, 3, 3, 3, 4, 5, 5, 5, 6, 6, 4, 1, 3, 4, 3, 6, 5, 6, 5, 5, 6, 6, 5, 4, 5, 6, 3, 7, 6, 4, 5, 5, 6, 5, 4, 6, 3, 6, 7, 5, 7, 5, 6, 6, 4, 5, 8, 6, 0, 4, 6, 4, 6, 5, 6, 4, 4, 5, 4, 2, 6, 3, 4, 4, 4, 5, 3, 4, 3, 3, 5, 4, 5, 7, 3, 4, 6, 3, 4, 3, 4, 4, 3, 5, 4, 6, 8, 3, 2, 0, 3, 5, 6, 4, 4, 3, 3, 5, 5, 3, 4, 6, 4, 6, 4, 5, 5, 5, 6, 7, 3, 4, 7, 4, 5, 4, 4, 6, 5, 6, 1, 5, 4, 4, 4, 1, 5, 4, 5, 4, 7, 2, 5, 5, 6, 3, 4, 5, 3, 4, 6, 4, 2, 7, 6, 3, 8, 7, 4, 6, 7, 2, 4, 5, 3, 6, 2, 7, 4, 7, 3, 6, 7, 6, 2, 3, 5, 6, 7, 3, 1, 2, 3, 4, 2, 6, 5, 4, 6, 5, 5, 4, 6, 2, 6, 4, 3, 7, 5, 6, 5, 6, 7, 5, 5, 4, 5, 4, 4, 4, 5, 1, 7, 6, 5, 4, 4, 7, 6, 5, 4, 4, 3, 6, 3, 4, 5, 4, 4, 5, 4, 8, 2, 4, 4, 4, 3, 3, 4, 8, 5, 2, 2, 5, 3, 3, 3, 3, 2, 0, 4, 4, 5, 7, 4, 5, 2, 4, 7, 6, 4, 4, 5, 5, 6, 5, 7, 3, 4, 7, 7, 2, 3, 4, 4, 7, 3, 6, 6, 4, 4, 4, 4, 3, 3, 3, 6, 5, 7, 4, 4, 4, 4, 4, 3, 5, 6, 5, 7, 6, 7, 3, 4, 6, 5, 5, 3, 2, 4, 6, 6, 3, 6, 7, 5, 4, 4, 4, 5, 6, 4, 6, 5, 6, 3, 5, 3, 5, 3, 3, 2, 5, 4, 3, 4, 7, 5, 5, 5, 4, 4, 5, 4, 4, 2, 5, 3, 2, 7, 6, 4, 5, 3, 3, 2, 5, 6, 4, 4, 5, 4, 3, 4, 4, 7, 7, 4, 3, 3, 4, 4, 5, 5, 5, 2, 7, 6, 6, 2, 5, 5, 4, 4, 5, 3, 5, 3, 6, 6, 5, 4, 7, 4, 1 5, 5, 5, 5, 3, 4, 2, 6, 4, 2, 2, 4, 5, 3, 7, 6, 5, 4, 3, 4, 2, 6, 6, 3, 5, 7, 5, 2, 4, 0, 4, 6, 4, 4, 3, 7, 3, 3, 3, 6, 3, 6, 4, 4, 6, 6, 3, 5, 2, 6, 5, 5, 6, 4, 2, 5, 7, 4, 4, 5, 5, 6, 2, 7, 3, 5, 6, 5, 5, 6, 5, 4, 5, 6, 6, 4, 4, 4, 5, 4, 5, 3, 6, 5, 3, 4, 6, 5, 3, 7, 7, 4, 8, 5, 4, 5, 6, 6, 6, 6, 2, 4, 5, 4, 4, 4, 6, 4, 6, 3, 4, 2, 4, 2, 4, 4, 4, 4, 7, 4, 8, 4, 5, 4, 1, 5, 4, 7, 4, 7, 3, 3, 3, 5, 3, 7, 7, 4, 5, 5, 4, 4, 2, 3, 4, 4, 5, 4, 4, 2, 5, 5, 3, 4, 7, 5, 4, 5, 3, 6, 5, 6, 4, 4, 2, 3, 5, 3, 4, 3, 3, 5, 4, 6, 4, 3, 6, 5, 6, 5, 4, 3, 4, 5, 3, 4, 4, 6, 7, 4, 5, 1, 1, 3, 6, 4, 6, 5, 3, 3, 4, 4, 3, 7, 5, 6, 3, 4, 5, 3, 3, 7, 2, 3, 6, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 4, 4, 6, 4, 5, 6, 5, 2, 4, 6, 6, 4, 4, 6, 4, 5, 6, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 2, 5, 3, 8, 6, 5, 3, 6, 7, 7, 2, 4, 4, 2, 3, 7, 4, 7, 5, 6, 5, 4, 5, 6, 6, 5, 4, 6, 4, 6, 5, 8, 4, 4, 3, 6, 4, 3, 3, 4, 4, 3, 4, 4, 8, 7, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 2, 2, 1, 4, 4, 4, 8, 3, 4, 6, 5, 4, 5, 6, 5, 8, 3, 7, 6, 2, 4, 6, 3, 3, 6, 4, 3, 7, 7, 3, 3, 2, 3, 4, 4, 3, 2, 5, 1, 4, 2, 5, 5, 1, 5, 5, 6, 7, 6, 3, 3, 5, 5, 4, 2, 5, 6, 4, 4, 6, 5, 5, 5, 7, 3, 2, 3, 4, 4, 2, 6, 6, 4, 4, 3, 6, 6, 5, 3, 6, 3, 4, 5, 4, 5, 5, 5, 6, 4, 5, 4, 1, 4, 6, 5, 4, 4, 5, 3, 4, 2, 5, 2, 4, 4, 3, 4, 3, 6, 3, 4, 7, 6, 5, 6, 6, 5, 3, 4, 4, 4, 5, 3, 3, 6, 2, 3, 4, 5, 5, 3, 5, 5, 4, 2, 6, 1, 5, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 3, 6, 6, 4, 4, 2, 4, 4, 5, 1, 4, 5, 5, 5, 6, 4, 5, 3, 5, 6, 3, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 6, 4, 5, 1 4, 3, 5, 3, 4, 1, 4, 4, 3, 4, 5, 3, 5, 5, 4, 3, 5, 7, 4, 5, 6, 5, 4, 6, 7, 4, 6, 7, 4, 4, 4, 6, 4, 2, 5, 6, 3, 5, 4, 3, 3, 3, 5, 4, 7, 4, 1, 3, 5, 5, 5, 5, 6, 4, 7, 3, 3, 5, 2, 5, 4, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 6, 3, 4, 2, 3, 4, 6, 2, 5, 3, 2, 3, 5, 4, 5, 7, 6, 5, 6, 4, 4, 4, 3, 5, 6, 0, 6, 4, 9, 5, 7, 3, 4, 3, 5, 5, 3, 5, 4, 4, 2, 5, 5, 4, 4, 9, 6, 6, 5, 6, 6, 5, 5, 6, 4, 5, 7, 6, 4, 4, 4, 5, 3, 5, 6, 4, 6, 6, 4, 3, 7, 5, 6, 7, 6, 5, 4, 3, 8, 5, 4, 7, 5, 5, 2, 6, 6, 3, 6, 8, 5, 6, 2, 4, 3, 5, 6, 6, 5, 3, 6, 4, 7, 7, 5, 4, 3, 5, 5, 4, 3, 5, 5, 4, 3, 6, 4, 4, 3, 5, 5, 2, 4, 5, 4, 2, 7, 6, 4, 4, 6, 5, 5, 4, 4, 2, 4, 4, 3, 4, 5, 6, 4, 6, 5, 5, 2, 3, 4, 3, 3, 6, 7, 4, 5, 5, 5, 3, 5, 6, 5, 3, 6, 5, 4, 4, 5, 6, 3, 3, 3, 5, 6, 7, 7, 7, 4, 4, 7, 7, 4, 4, 4, 6, 2, 4, 5, 8, 4, 4, 5, 3, 5, 5, 3, 4, 1, 5, 3, 5, 3, 6, 4, 4, 5, 2, 4, 5, 2, 5, 5, 4, 2, 5, 6, 4, 3, 4, 6, 7, 4, 4, 5, 2, 7, 5, 3, 7, 4, 4, 6, 6, 3, 5, 8, 6, 5, 5, 5, 2, 5, 2, 1, 3, 5, 7, 5, 4, 5, 5, 4, 4, 2, 5, 2, 4, 4, 6, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 6, 5, 5, 4, 5, 0, 5, 5, 5, 6, 5, 4, 6, 6, 3, 3, 3, 6, 5, 4, 4, 6, 3, 4, 2, 7, 2, 4, 3, 4, 4, 5, 5, 5, 3, 4, 6, 4, 3, 5, 4, 6, 7, 5, 6, 2, 5, 5, 4, 3, 6, 6, 4, 4, 5, 4, 3, 4, 3, 6, 3, 4, 0, 6, 5, 5, 2, 5, 6, 2, 6, 7, 5, 4, 2, 5, 4, 5, 4, 6, 2, 5, 5, 3, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 6, 4, 3, 4, 3, 7, 5, 3, 5, 6, 6, 4, 1, 4, 4, 6, 5, 7, 4, 5, 8, 4, 3, 5, 5, 3, 6, 5, 4, 5, 3, 5, 2, 3, 4, 5, 4, 6, 7, 6, 2, 5, 2, 6, 3, 5, 4, 4, 5, 6, 7, 3, 4, 6, 6, 4, 4, 5, 4, 8, 7, 5, 4, 4, 5, 4, 0, 1 5, 7, 5, 3, 3, 6, 3, 7, 4, 5, 5, 5, 3, 5, 6, 5, 6, 5, 6, 3, 4, 4, 6, 4, 5, 4, 3, 5, 7, 6, 5, 5, 4, 6, 4, 4, 3, 3, 3, 5, 6, 3, 4, 5, 3, 3, 2, 5, 3, 2, 5, 6, 6, 3, 8, 5, 5, 5, 5, 4, 5, 5, 3, 4, 6, 4, 5, 5, 3, 5, 7, 5, 3, 3, 3, 5, 5, 4, 4, 5, 3, 4, 3, 4, 5, 2, 3, 3, 3, 3, 4, 5, 2, 4, 7, 1, 5, 6, 6, 2, 3, 4, 3, 7, 7, 3, 4, 5, 2, 4, 6, 4, 5, 4, 4, 3, 4, 4, 4, 6, 3, 5, 3, 6, 4, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 6, 4, 5, 2, 7, 4, 6, 5, 6, 3, 5, 6, 6, 2, 5, 4, 4, 4, 5, 4, 5, 3, 3, 5, 2, 1, 7, 3, 3, 7, 8, 5, 5, 6, 4, 7, 5, 4, 5, 3, 7, 5, 6, 4, 7, 3, 6, 5, 4, 5, 5, 5, 3, 3, 5, 2, 3, 3, 9, 6, 4, 6, 2, 6, 6, 4, 3, 7, 4, 4, 6, 3, 4, 5, 5, 3, 6, 4, 3, 3, 5, 4, 5, 5, 6, 4, 4, 6, 4, 6, 5, 1, 6, 7, 2, 5, 4, 6, 6, 3, 3, 3, 4, 6, 6, 3, 3, 6, 5, 4, 9, 6, 2, 3, 5, 4, 3, 5, 4, 4, 5, 4, 2, 4, 7, 4, 4, 6, 4, 6, 6, 5, 5, 4, 7, 3, 4, 4, 6, 5, 4, 2, 5, 3, 7, 5, 5, 3, 5, 5, 6, 6, 2, 4, 3, 4, 6, 5, 6, 6, 6, 5, 3, 2, 5, 7, 4, 3, 6, 6, 4, 2, 4, 2, 4, 3, 7, 5, 7, 6, 6, 5, 4, 5, 6, 4, 8, 6, 6, 5, 5, 5, 2, 4, 5, 3, 5, 4, 6, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 5, 5, 5, 5, 3, 7, 4, 1, 3, 5, 3, 5, 3, 3, 5, 4, 2, 3, 5, 6, 3, 3, 2, 6, 5, 4, 6, 3, 2, 2, 0, 7, 5, 6, 5, 5, 5, 6, 6, 5, 5, 7, 3, 2, 6, 6, 3, 5, 4, 5, 6, 4, 3, 4, 6, 4, 6, 7, 6, 3, 3, 4, 5, 4, 2, 2, 6, 3, 4, 4, 4, 3, 3, 4, 3, 7, 5, 3, 4, 4, 4, 4, 5, 6, 6, 3, 5, 4, 3, 7, 4, 3, 4, 6, 4, 5, 2, 2, 6, 5, 4, 5, 6, 4, 6, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 6, 3, 4, 5, 4, 3, 5, 4, 5, 7, 6, 5, 5, 7, 5, 7, 2, 5, 6, 6, 2, 6, 2, -1 5, 2, 2, 5, 1, 7, 6, 6, 2, 3, 4, 5, 8, 6, 7, 4, 6, 2, 5, 5, 3, 7, 3, 5, 4, 1, 5, 4, 3, 5, 5, 3, 4, 3, 5, 4, 3, 4, 5, 5, 3, 3, 5, 2, 5, 2, 5, 3, 4, 7, 5, 3, 4, 5, 6, 4, 2, 5, 4, 3, 4, 7, 4, 6, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 6, 5, 7, 6, 4, 2, 4, 5, 5, 4, 4, 4, 4, 4, 6, 5, 3, 5, 3, 5, 3, 5, 5, 4, 4, 4, 5, 5, 4, 6, 4, 4, 6, 3, 6, 5, 5, 1, 6, 5, 4, 3, 6, 3, 5, 5, 4, 3, 7, 4, 7, 4, 6, 4, 6, 6, 5, 4, 5, 6, 9, 7, 5, 3, 5, 4, 4, 7, 5, 4, 4, 5, 6, 7, 5, 4, 4, 7, 4, 6, 5, 7, 7, 5, 4, 4, 4, 4, 3, 6, 4, 6, 5, 4, 5, 7, 4, 6, 6, 4, 4, 5, 4, 0, 7, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 8, 5, 7, 3, 4, 2, 5, 4, 4, 2, 4, 6, 4, 5, 4, 4, 3, 4, 5, 3, 8, 7, 3, 4, 6, 5, 5, 5, 5, 5, 4, 4, 4, 6, 5, 8, 5, 2, 4, 4, 6, 6, 3, 5, 3, 6, 4, 2, 2, 4, 3, 4, 4, 5, 6, 5, 5, 5, 6, 2, 3, 3, 6, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 1, 3, 6, 5, 5, 6, 5, 5, 4, 4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 2, 4, 5, 2, 5, 5, 3, 5, 2, 3, 2, 4, 5, 5, 4, 4, 5, 4, 4, 6, 5, 5, 3, 6, 5, 3, 7, 3, 5, 5, 7, 5, 5, 4, 4, 4, 1, 4, 7, 4, 4, 5, 4, 5, 4, 7, 3, 7, 3, 5, 4, 4, 5, 4, 4, 7, 4, 5, 5, 5, 5, 4, 3, 5, 6, 6, 3, 3, 3, 6, 3, 5, 3, 4, 4, 6, 5, 4, 4, 4, 6, 6, 4, 5, 5, 4, 3, 4, 2, 2, 4, 5, 6, 2, 4, 3, 4, 5, 4, 5, 1, 3, 6, 3, 3, 7, 5, 5, 4, 7, 5, 3, 6, 4, 8, 4, 5, 6, 3, 4, 3, 2, 4, 5, 4, 5, 2, 4, 3, 4, 2, 3, 5, 6, 4, 5, 3, 4, 2, 6, 4, 4, 5, 5, 8, 5, 5, 3, 4, 8, 5, 5, 3, 4, 6, 5, 6, 6, 2, 6, 7, 4, 3, 3, 3, 4, 6, 5, 6, 5, 2, 2, 6, 3, 3, 4, 3, 4, 4, 8, 3, 6, 2, 4, 7, 4, 2, 4, 2, 4, 4, 7, 4, 4, 5, 5, 4, 2, 5, 4, 6, 5, 3, 4, 4, 5, 5, 1 7, 3, 5, 4, 4, 4, 4, 6, 2, 6, 4, 4, 6, 5, 7, 5, 5, 4, 5, 3, 7, 3, 3, 6, 4, 6, 1, 4, 6, 5, 5, 4, 2, 4, 7, 1, 5, 2, 4, 3, 4, 3, 7, 5, 3, 5, 6, 5, 4, 6, 6, 3, 6, 3, 4, 6, 5, 4, 6, 4, 3, 6, 4, 3, 5, 4, 4, 5, 5, 6, 3, 6, 3, 6, 5, 3, 5, 5, 3, 5, 6, 3, 3, 3, 5, 4, 4, 3, 6, 3, 7, 3, 6, 4, 7, 3, 4, 3, 5, 5, 6, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 6, 4, 5, 4, 3, 3, 4, 6, 4, 1, 6, 7, 5, 2, 5, 5, 4, 4, 5, 4, 4, 4, 4, 6, 5, 3, 0, 3, 5, 2, 5, 4, 3, 4, 7, 2, 4, 7, 6, 5, 5, 6, 4, 5, 6, 3, 6, 3, 4, 5, 6, 5, 6, 6, 3, 2, 5, 4, 6, 3, 4, 6, 7, 4, 6, 3, 4, 5, 4, 3, 1, 5, 7, 6, 3, 4, 5, 3, 4, 7, 4, 6, 3, 5, 3, 4, 7, 5, 3, 5, 8, 3, 8, 1, 5, 6, 7, 5, 6, 4, 3, 8, 5, 4, 5, 4, 3, 5, 4, 6, 5, 3, 4, 4, 3, 6, 5, 3, 8, 4, 1, 5, 5, 4, 4, 3, 6, 5, 6, 5, 7, 6, 5, 5, 5, 6, 4, 5, 5, 7, 5, 3, 2, 3, 3, 3, 1, 5, 4, 4, 4, 4, 4, 6, 5, 7, 3, 4, 6, 5, 4, 6, 2, 5, 4, 7, 7, 3, 5, 0, 4, 3, 3, 6, 6, 3, 2, 4, 6, 7, 6, 1, 5, 6, 0, 4, 4, 3, 3, 6, 6, 4, 2, 5, 4, 6, 4, 6, 4, 3, 3, 6, 4, 3, 5, 6, 4, 6, 7, 5, 5, 7, 4, 4, 5, 4, 1, 7, 5, 5, 2, 5, 4, 6, 3, 4, 5, 4, 4, 5, 5, 9, 6, 2, 6, 4, 6, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 5, 3, 6, 4, 5, 3, 5, 6, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 1, 7, 3, 7, 3, 7, 4, 4, 6, 2, 4, 5, 3, 3, 7, 6, 6, 7, 3, 4, 6, 3, 4, 4, 5, 4, 5, 6, 2, 1, 3, 5, 4, 4, 2, 5, 6, 5, 6, 4, 4, 2, 3, 4, 6, 7, 3, 7, 3, 6, 4, 3, 3, 6, 5, 4, 6, 4, 8, 2, 2, 3, 2, 4, 3, 3, 7, 6, 6, 3, 1, 2, 8, 2, 3, 6, 5, 4, 2, 1, 4, 5, 7, 4, 3, 3, 3, 4, 3, 2, 4, 6, 7, 6, 5, 4, 1, 5, 2, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 7, 1, 6, 5, 2, 4, 7, 3, -1 3, 5, 4, 5, 2, 5, 7, 2, 6, 3, 4, 3, 3, 2, 5, 3, 5, 4, 5, 6, 6, 4, 6, 4, 4, 2, 4, 5, 4, 3, 4, 8, 5, 2, 5, 4, 5, 5, 4, 3, 5, 3, 7, 3, 2, 5, 3, 3, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 4, 1, 4, 4, 5, 3, 6, 5, 1, 3, 6, 3, 3, 3, 4, 2, 5, 6, 6, 6, 3, 4, 5, 1, 4, 7, 4, 4, 4, 7, 5, 5, 3, 6, 5, 3, 3, 4, 4, 5, 3, 6, 5, 2, 4, 5, 6, 2, 6, 2, 6, 4, 6, 4, 5, 3, 3, 6, 3, 4, 4, 7, 5, 6, 8, 3, 8, 5, 6, 3, 3, 3, 7, 4, 4, 4, 2, 5, 6, 4, 4, 5, 2, 8, 6, 3, 7, 6, 5, 2, 4, 6, 3, 6, 2, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 3, 4, 4, 7, 7, 8, 6, 4, 3, 5, 3, 6, 4, 4, 6, 6, 1, 4, 6, 6, 5, 9, 7, 5, 5, 3, 6, 4, 2, 5, 4, 4, 3, 4, 2, 5, 3, 4, 4, 2, 2, 3, 5, 4, 4, 5, 4, 3, 4, 7, 5, 5, 4, 4, 4, 5, 3, 8, 4, 3, 6, 5, 4, 5, 4, 4, 1, 6, 3, 4, 3, 4, 7, 2, 6, 7, 4, 2, 5, 6, 5, 5, 3, 4, 5, 5, 5, 2, 5, 4, 3, 5, 6, 3, 6, 3, 4, 4, 4, 4, 6, 2, 3, 2, 7, 9, 6, 4, 3, 7, 4, 5, 3, 4, 2, 3, 6, 5, 5, 6, 6, 2, 4, 5, 4, 3, 4, 4, 6, 3, 4, 4, 4, 5, 3, 6, 6, 7, 5, 1, 2, 5, 4, 7, 2, 3, 5, 4, 4, 6, 7, 4, 4, 5, 3, 6, 3, 5, 5, 3, 6, 2, 8, 4, 7, 4, 2, 5, 4, 5, 4, 6, 5, 6, 6, 3, 6, 7, 5, 3, 1, 5, 6, 6, 5, 2, 6, 3, 4, 4, 4, 3, 6, 6, 5, 4, 4, 3, 5, 5, 6, 2, 5, 5, 5, 3, 3, 3, 5, 2, 5, 6, 6, 3, 3, 4, 5, 4, 5, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 6, 5, 5, 3, 4, 6, 4, 6, 4, 7, 4, 6, 8, 3, 6, 2, 5, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 7, 3, 5, 6, 4, 2, 4, 6, 5, 4, 3, 5, 2, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 7, 6, 5, 5, 6, 3, 4, 4, 4, 6, 5, 4, 3, 2, 6, 4, 4, 6, 4, 4, 6, 5, 7, 3, 5, 8, 4, 4, 4, 6, 6, 9, 3, 3, 2, 2, 4, 5, 6, 3, 5, 4, 4, 2, 3, 5, 4, 2, 4, 6, 6, 6, 6, 4, -1 4, 3, 5, 4, 4, 7, 6, 5, 6, 3, 6, 3, 4, 2, 8, 7, 4, 7, 0, 6, 4, 8, 9, 5, 4, 5, 6, 5, 6, 5, 4, 6, 5, 2, 5, 4, 4, 4, 4, 4, 5, 7, 6, 4, 6, 4, 5, 4, 2, 7, 5, 6, 5, 3, 3, 5, 5, 5, 3, 5, 4, 3, 4, 3, 5, 3, 4, 6, 5, 5, 7, 4, 1, 7, 1, 6, 6, 3, 4, 3, 5, 3, 6, 5, 5, 6, 5, 3, 6, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 2, 3, 5, 6, 4, 1, 5, 7, 5, 6, 5, 4, 4, 5, 4, 4, 5, 6, 6, 5, 3, 3, 7, 5, 5, 6, 8, 5, 6, 5, 6, 3, 5, 5, 7, 4, 4, 3, 5, 3, 4, 4, 6, 3, 2, 3, 3, 5, 3, 4, 6, 6, 5, 8, 7, 4, 4, 6, 5, 5, 4, 6, 5, 4, 0, 5, 3, 6, 9, 6, 5, 4, 4, 5, 6, 5, 6, 3, 4, 5, 6, 2, 5, 2, 6, 4, 4, 6, 5, 6, 6, 6, 8, 2, 6, 4, 3, 4, 3, 7, 5, 5, 7, 3, 5, 6, 3, 6, 4, 6, 4, 4, 4, 4, 3, 5, 2, 1, 6, 4, 4, 4, 2, 7, 5, 3, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 4, 9, 1, 6, 4, 5, 3, 4, 3, 4, 6, 2, 4, 3, 4, 3, 5, 4, 5, 3, 4, 6, 7, 7, 7, 3, 4, 1, 5, 3, 1, 4, 4, 5, 5, 3, 4, 5, 4, 2, 2, 7, 3, 5, 4, 3, 6, 5, 5, 5, 6, 6, 5, 4, 5, 5, 5, 7, 4, 5, 4, 4, 5, 5, 4, 2, 5, 7, 5, 4, 7, 4, 3, 3, 4, 4, 4, 3, 6, 4, 5, 5, 6, 6, 8, 5, 7, 1, 4, 4, 3, 6, 5, 7, 2, 5, 6, 2, 5, 5, 3, 5, 6, 3, 4, 3, 6, 3, 6, 3, 4, 5, 2, 6, 3, 5, 5, 4, 7, 6, 3, 6, 4, 7, 5, 5, 6, 3, 4, 6, 4, 4, 3, 3, 3, 5, 1, 3, 4, 3, 4, 2, 6, 2, 6, 6, 3, 3, 6, 3, 6, 5, 4, 4, 4, 5, 6, 4, 5, 4, 4, 3, 6, 5, 5, 5, 5, 5, 5, 3, 6, 4, 4, 4, 4, 4, 5, 4, 5, 5, 6, 5, 2, 4, 6, 7, 3, 6, 7, 5, 4, 5, 4, 4, 3, 3, 3, 6, 7, 4, 3, 4, 3, 5, 4, 3, 5, 5, 4, 3, 3, 4, 6, 5, 5, 7, 6, 7, 8, 4, 3, 4, 5, 5, 6, 6, 4, 4, 5, 6, 5, 6, 7, 3, 3, 3, 4, 5, 6, 5, 2, 5, 5, 2, 4, 4, 3, 4, 5, 6, 3, 5, 5, 4, 4, 5, 4, 5, 7, 5, 4, 3, 5, 6, 6, -1 4, 4, 5, 5, 4, 8, 6, 4, 2, 5, 6, 1, 4, 3, 4, 5, 5, 6, 3, 4, 6, 4, 5, 3, 3, 3, 3, 4, 2, 7, 4, 6, 5, 4, 4, 5, 4, 3, 2, 3, 6, 5, 4, 3, 5, 4, 6, 5, 3, 4, 5, 4, 6, 2, 6, 8, 4, 4, 7, 6, 5, 3, 2, 2, 6, 2, 4, 6, 3, 5, 6, 6, 3, 3, 6, 7, 4, 4, 5, 6, 4, 5, 4, 5, 5, 3, 4, 5, 4, 6, 4, 6, 5, 3, 4, 6, 3, 5, 4, 3, 7, 3, 5, 4, 4, 2, 4, 7, 4, 5, 4, 4, 3, 5, 6, 4, 5, 2, 5, 3, 2, 6, 6, 4, 5, 5, 5, 4, 2, 6, 3, 4, 4, 7, 3, 6, 3, 2, 4, 5, 6, 5, 5, 5, 6, 4, 4, 2, 4, 5, 5, 6, 5, 3, 6, 3, 7, 2, 5, 6, 5, 3, 4, 4, 3, 3, 4, 7, 4, 5, 2, 4, 6, 6, 5, 6, 5, 5, 2, 2, 5, 5, 4, 6, 4, 5, 6, 1, 6, 4, 4, 3, 4, 3, 5, 6, 2, 5, 6, 6, 6, 7, 3, 6, 7, 4, 7, 3, 5, 5, 4, 5, 2, 5, 7, 3, 1, 3, 5, 6, 8, 4, 1, 3, 6, 6, 5, 5, 4, 6, 4, 2, 5, 7, 1, 2, 6, 4, 6, 6, 6, 4, 6, 4, 3, 3, 4, 6, 3, 4, 4, 5, 5, 3, 7, 3, 5, 4, 5, 3, 4, 4, 6, 6, 4, 5, 6, 5, 1, 3, 5, 4, 7, 4, 3, 8, 2, 5, 4, 3, 5, 3, 6, 3, 5, 4, 6, 5, 5, 6, 8, 3, 4, 7, 5, 6, 3, 2, 6, 4, 6, 6, 3, 4, 5, 2, 5, 6, 3, 8, 5, 4, 4, 5, 4, 3, 4, 6, 3, 6, 3, 6, 3, 5, 6, 3, 4, 4, 7, 5, 6, 2, 5, 5, 3, 5, 5, 5, 7, 4, 4, 4, 5, 4, 2, 6, 5, 3, 5, 4, 3, 4, 3, 8, 5, 4, 5, 5, 3, 5, 2, 2, 5, 3, 6, 4, 4, 4, 6, 6, 3, 5, 5, 5, 3, 4, 3, 5, 3, 5, 7, 5, 4, 4, 1, 4, 4, 4, 6, 4, 5, 6, 4, 3, 2, 8, 3, 3, 5, 1, 3, 7, 3, 7, 7, 5, 6, 4, 4, 6, 8, 2, 4, 4, 5, 5, 4, 5, 6, 5, 4, 5, 7, 4, 6, 2, 5, 2, 3, 6, 4, 3, 4, 3, 5, 4, 6, 3, 4, 5, 4, 3, 6, 4, 2, 5, 6, 6, 3, 4, 3, 2, 2, 3, 3, 7, 2, 4, 6, 5, 6, 5, 2, 5, 4, 5, 7, 2, 5, 4, 5, 5, 6, 7, 3, 4, 4, 3, 5, 5, 2, 3, 8, 3, 4, 6, 3, 4, 3, 3, 5, 2, 4, 2, 5, 4, 7, 4, 6, 4, 1 3, 4, 6, 4, 1, 6, 4, 4, 3, 3, 4, 6, 6, 4, 5, 8, 4, 5, 3, 5, 6, 5, 3, 5, 5, 3, 2, 3, 5, 4, 6, 2, 3, 5, 5, 8, 4, 5, 5, 2, 7, 3, 4, 4, 4, 4, 3, 3, 6, 7, 4, 2, 6, 1, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 7, 7, 7, 5, 4, 2, 5, 3, 5, 0, 4, 3, 5, 5, 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3, 4, 3, 6, 6, 4, 7, 6, 4, 3, 4, 5, 5, 5, 4, 7, 3, 4, 4, 6, 4, 6, 5, 4, 5, 3, 3, 6, 3, 5, 5, 4, 4, 5, 6, 3, 5, 5, 4, 4, 4, 3, 4, 6, 3, 8, 4, 8, 3, 6, 4, 6, 7, 4, 7, 4, 5, 3, 5, 3, 3, 3, 4, 0, 3, 5, 4, 5, 5, 4, 5, 4, 6, 7, 7, 5, 5, 7, 5, 6, 7, 6, 5, 5, 5, 3, 4, 6, 1, 4, 6, 5, 3, 4, 4, 6, 4, 7, 4, 5, 7, 5, 4, 5, 5, 2, 6, 3, 6, 5, 4, 4, 2, 3, 5, 3, 6, 2, 3, 4, 5, 4, 5, 6, 3, 5, 5, 6, 4, 5, 2, 7, 3, 3, 5, 3, 3, 5, 6, 3, 3, 6, 4, 2, 6, 3, 7, 3, 6, 6, 3, 3, 6, 4, 4, 2, 3, 2, 7, 2, 4, 2, 4, 3, 4, 6, 7, 3, 3, 6, 7, 7, 3, 3, 6, 3, 5, 7, 7, 8, 4, 7, 5, 1, 2, 2, 4, 4, 2, 2, 5, 8, 4, 4, 4, 3, 4, 4, 3, 3, 5, 7, 3, 0, 4, 3, 5, 5, 4, 6, 5, 6, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 5, 5, 2, 3, 4, 5, 1, 4, 3, 7, 3, 4, 5, 2, 4, 4, 2, 5, 4, 2, 3, 4, 5, 4, 5, 5, 6, 6, 6, 5, 2, 4, 5, 6, 8, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 6, 6, 4, 6, 3, 7, 3, 4, 5, 3, 5, 3, 2, 7, 8, 5, 4, 4, 6, 5, 5, 6, 3, 4, 5, 4, 3, 7, 4, 7, 4, 5, 4, 5, 4, 3, 6, 4, 5, 6, 4, 6, 4, 5, 4, 2, 7, 3, 5, 4, 6, 2, 7, 4, 7, 5, 5, 1, 4, 4, 4, 6, 4, 5, 4, 2, 2, 6, 5, 4, 4, 5, 5, 5, 4, 5, 7, 5, 4, 4, 8, 2, 4, 8, 5, 5, 3, 5, 6, 4, 4, 4, 7, 6, 3, 3, 7, 4, 7, 7, 3, 4, 7, 3, 3, 5, 3, 2, 6, 4, 3, 4, 6, 7, 4, 5, 6, 4, 2, 7, 5, 5, 4, 4, 3, 4, 4, 5, 3, 6, 2, 4, 5, 5, 3, 6, 6, 5, 6, 3, 6, 4, 4, 1 4, 4, 6, 6, 6, 4, 1, 5, 3, 2, 5, 5, 4, 3, 4, 6, 7, 6, 1, 5, 4, 5, 4, 6, 1, 2, 4, 8, 5, 7, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 5, 3, 7, 4, 5, 4, 3, 4, 3, 3, 7, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 0, 4, 3, 5, 7, 5, 6, 3, 3, 7, 5, 4, 4, 5, 4, 7, 6, 6, 6, 3, 4, 2, 5, 4, 5, 5, 4, 3, 6, 4, 6, 6, 4, 1, 4, 2, 4, 6, 4, 5, 3, 4, 4, 4, 4, 5, 6, 6, 3, 4, 6, 5, 4, 2, 6, 3, 5, 3, 3, 2, 6, 5, 6, 6, 5, 4, 6, 4, 6, 5, 4, 5, 5, 6, 6, 1, 3, 6, 7, 2, 5, 3, 3, 3, 5, 5, 1, 6, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 6, 2, 5, 5, 6, 7, 6, 3, 5, 5, 6, 5, 6, 5, 2, 6, 4, 6, 3, 4, 5, 5, 7, 5, 6, 6, 4, 5, 4, 4, 5, 6, 5, 5, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 3, 4, 3, 4, 3, 6, 6, 4, 6, 5, 7, 5, 4, 2, 5, 3, 3, 4, 5, 4, 5, 3, 6, 5, 2, 4, 4, 4, 4, 7, 4, 4, 6, 4, 6, 5, 5, 4, 6, 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4, 4, 6, 3, 5, 5, 4, 5, 5, 6, 6, 4, 2, 3, 4, 4, 4, 4, 5, 4, 3, 7, 7, 5, 3, 3, 5, 4, 4, 6, 6, 2, 4, 5, 7, 7, 3, 4, 3, 3, 3, 4, 7, 5, 7, 5, 3, 6, 4, 5, 8, 1, 5, 7, 6, 5, 3, 4, 6, 2, 4, 3, 5, 5, 4, 2, 3, 4, 6, 5, 4, 6, 4, 6, 3, 5, 3, 7, 4, 4, 5, 3, 3, 7, 4, 3, 3, 4, 6, 6, 3, 4, 3, 4, 4, 3, 3, 5, 3, 2, 5, 6, 4, 4, 3, 4, 4, 4, 5, 6, 4, 3, 5, 2, 4, 4, 5, 2, 4, 6, 3, 1, 7, 3, 4, 4, 6, 7, 4, 6, 3, 5, 6, 5, 5, 4, 6, 4, 4, 5, 3, 3, 6, 5, 5, 2, 4, 6, 3, 4, 5, 4, 5, 8, 5, 4, 3, 4, 2, 4, 5, 2, 3, 3, 5, 5, 5, 4, 3, 5, 3, 7, 6, 4, 4, 3, 3, 4, 7, 5, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 3, 2, 5, 4, 2, 5, 7, 4, 5, 6, 3, 3, 5, 5, 3, 5, 3, 3, 3, 4, 7, 6, 4, 4, 3, 5, 5, 3, 6, 4, 5, 4, 4, 4, 6, 8, 3, 5, 8, 6, 6, 4, 1, 5, 3, 3, 4, 5, 7, 5, 6, 6, 4, 5, 5, 7, 6, 5, 6, 2, 6, 4, 4, 4, 3, 3, 4, 3, 5, 6, 7, 6, 5, 2, 4, 6, 4, 7, 2, 5, 4, 6, 5, 6, 4, 7, 2, 6, 5, 5, 4, 4, 6, 6, 4, 2, 6, 7, 5, 6, 5, 3, 3, 6, 4, 6, 4, 9, 2, 3, 1, 3, 3, 4, 2, 7, 4, 4, 5, 4, 4, 5, 7, 3, 7, 6, 4, 5, 3, 5, 6, 1, 4, 6, 3, 3, 2, 6, 6, 7, 3, 4, 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4, 5, 3, 5, 6, 6, 3, 5, 3, 6, 3, 3, 5, 4, 4, 5, 5, 3, 3, 5, 5, 3, 5, 4, 2, 4, 4, 6, 4, 5, 1, 4, 3, 4, 5, 5, 6, 5, 4, 5, 6, 4, 6, 4, 3, 4, 5, 6, 4, 3, 5, 4, 5, 6, 8, 3, 3, 2, 4, 6, 4, 5, 3, 5, 6, 4, 4, 5, 3, 3, 5, 3, 3, 6, 7, 3, 5, 6, 2, 4, 5, 4, 4, 5, 3, 4, 6, 4, 4, 4, 5, 6, 3, 4, 3, 5, 6, 6, 3, 6, 5, 4, 5, 7, 4, 3, 3, 8, 5, 4, 7, 3, 3, 7, 5, 8, 6, 5, 4, 4, 5, 4, 7, 4, 4, 3, 5, 6, 2, 4, 7, 5, 6, 1, 4, 6, 4, 3, 5, 2, 9, 4, 2, 9, 3, 4, 3, 5, 3, 2, 6, 4, 6, 5, 7, 5, 3, 4, 7, 3, 5, 6, 5, 4, 5, 5, 4, 3, 3, 2, 4, 5, 5, 5, 1, 6, 4, 3, 4, 6, 6, 6, 4, 3, 9, 4, 3, 3, 6, 3, 5, 4, 4, 7, 3, 5, 5, 4, 2, 3, 4, 5, 3, 3, 5, 4, 5, 3, 6, 5, 5, 3, 3, 5, 3, 4, 3, 4, 3, 6, 3, 6, 2, 4, 3, 5, 5, 4, 5, 1, 2, 6, 6, 6, 4, 3, 2, 4, 5, 3, 4, 4, 3, 4, 3, 7, 4, 5, 5, 4, 4, 5, 4, 3, 3, -1 6, 4, 3, 1, 1, 3, 4, 4, 6, 5, 2, 4, 6, 6, 6, 4, 2, 3, 4, 4, 5, 2, 5, 3, 6, 2, 3, 2, 7, 5, 4, 6, 4, 7, 2, 5, 4, 4, 4, 3, 6, 5, 1, 5, 4, 3, 5, 5, 6, 4, 6, 4, 6, 5, 4, 5, 5, 6, 5, 4, 5, 3, 7, 2, 5, 3, 5, 5, 3, 3, 2, 5, 4, 5, 6, 7, 5, 4, 7, 4, 2, 3, 5, 4, 2, 9, 5, 6, 4, 5, 4, 4, 4, 2, 5, 3, 2, 6, 3, 4, 4, 5, 6, 3, 5, 5, 5, 6, 4, 5, 2, 4, 7, 4, 4, 4, 5, 5, 4, 6, 5, 5, 6, 3, 6, 2, 4, 5, 5, 3, 3, 4, 4, 5, 5, 5, 4, 4, 6, 5, 4, 5, 4, 6, 1, 5, 3, 5, 3, 5, 7, 3, 6, 6, 5, 6, 6, 5, 5, 4, 9, 5, 5, 5, 2, 3, 4, 3, 3, 3, 4, 6, 5, 2, 6, 7, 5, 5, 4, 2, 4, 3, 3, 5, 4, 4, 7, 5, 6, 5, 8, 5, 3, 6, 3, 5, 2, 5, 5, 9, 7, 7, 3, 6, 2, 3, 3, 5, 4, 5, 5, 4, 3, 6, 4, 2, 4, 5, 5, 4, 2, 4, 4, 1, 5, 5, 2, 5, 6, 6, 4, 4, 2, 6, 6, 5, 6, 7, 5, 3, 5, 6, 7, 2, 4, 6, 6, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 7, 6, 2, 7, 2, 6, 5, 6, 7, 5, 3, 6, 5, 5, 5, 6, 5, 6, 3, 2, 4, 6, 6, 4, 6, 4, 5, 2, 3, 5, 3, 4, 6, 7, 4, 6, 5, 3, 4, 6, 5, 5, 2, 4, 6, 4, 4, 5, 5, 4, 3, 4, 6, 3, 4, 3, 4, 2, 3, 4, 6, 6, 4, 4, 6, 2, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 6, 3, 5, 5, 6, 2, 6, 4, 5, 6, 1, 3, 5, 4, 5, 2, 4, 5, 3, 1, 8, 1, 5, 1, 3, 5, 5, 5, 3, 5, 2, 4, 4, 5, 5, 6, 5, 4, 7, 5, 9, 3, 5, 4, 4, 6, 5, 4, 4, 6, 6, 3, 4, 2, 4, 7, 4, 2, 5, 4, 4, 2, 5, 4, 4, 4, 4, 6, 3, 6, 2, 5, 6, 4, 6, 3, 4, 3, 4, 4, 2, 5, 3, 2, 1, 6, 2, 4, 7, 5, 4, 4, 7, 2, 6, 3, 5, 4, 2, 5, 6, 2, 6, 4, 3, 2, 2, 5, 4, 1, 6, 3, 5, 4, 3, 7, 6, 4, 6, 4, 4, 5, 7, 4, 3, 4, 6, 4, 3, 3, 5, 2, 3, 4, 4, 5, 6, 4, 5, 1, 4, 4, 6, 2, 4, 5, 5, 5, 5, 5, 5, 4, 5, 7, 4, 2, 5, 2, 3, 3, 3, 7, 3, 4, 7, 5, 3, 1 3, 3, 4, 3, 4, 5, 3, 5, 5, 4, 4, 1, 3, 6, 5, 5, 6, 3, 6, 4, 8, 5, 4, 4, 5, 4, 4, 7, 5, 4, 4, 3, 5, 3, 4, 5, 3, 5, 7, 4, 3, 4, 6, 4, 6, 4, 5, 6, 8, 5, 5, 7, 4, 3, 2, 6, 6, 6, 3, 6, 5, 4, 4, 4, 8, 6, 3, 6, 4, 3, 3, 6, 3, 5, 7, 6, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 7, 4, 7, 2, 3, 4, 4, 3, 5, 5, 5, 5, 3, 4, 5, 4, 7, 6, 3, 5, 6, 7, 7, 5, 2, 4, 7, 3, 5, 3, 3, 6, 2, 2, 6, 4, 5, 5, 4, 3, 0, 7, 6, 6, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 4, 4, 6, 4, 3, 7, 4, 4, 4, 4, 3, 5, 5, 7, 6, 4, 4, 7, 3, 5, 7, 4, 4, 4, 5, 6, 7, 6, 4, 2, 4, 4, 3, 2, 5, 4, 3, 3, 3, 3, 3, 4, 9, 6, 4, 4, 5, 7, 7, 4, 3, 3, 5, 4, 4, 3, 3, 6, 5, 4, 5, 3, 4, 3, 4, 2, 5, 6, 4, 6, 3, 1, 6, 6, 6, 6, 4, 5, 4, 5, 4, 5, 3, 6, 2, 5, 6, 4, 4, 6, 4, 4, 6, 4, 4, 3, 6, 7, 6, 4, 4, 4, 4, 1, 2, 3, 4, 2, 4, 6, 5, 5, 4, 5, 4, 4, 6, 5, 4, 6, 6, 3, 4, 4, 5, 1, 6, 3, 5, 4, 9, 1, 5, 2, 5, 3, 4, 5, 2, 2, 5, 3, 4, 5, 5, 5, 4, 5, 7, 3, 5, 3, 5, 3, 7, 7, 1, 3, 4, 5, 4, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 0, 6, 4, 4, 4, 3, 4, 4, 5, 6, 7, 1, 4, 3, 6, 4, 6, 4, 8, 7, 2, 6, 6, 4, 4, 5, 3, 5, 1, 6, 3, 4, 6, 4, 3, 4, 4, 5, 5, 4, 6, 4, 6, 5, 3, 6, 2, 5, 5, 7, 4, 6, 5, 6, 5, 4, 6, 5, 6, 6, 6, 7, 4, 6, 1, 5, 4, 2, 7, 6, 3, 4, 5, 5, 7, 3, 6, 4, 4, 4, 7, 6, 2, 5, 6, 5, 5, 3, 4, 3, 6, 6, 6, 4, 7, 6, 6, 3, 2, 7, 5, 5, 6, 4, 4, 3, 4, 4, 6, 4, 4, 4, 4, 2, 7, 6, 4, 6, 4, 3, 3, 3, 5, 3, 3, 4, 5, 3, 2, 3, 4, 4, 7, 4, 5, 4, 4, 3, 7, 2, 4, 6, 4, 4, 5, 3, 4, 2, 2, 5, 6, 5, 5, 6, 6, 4, 1, 5, 3, 6, 4, 3, 3, 6, 6, 9, 4, 3, 4, 4, 6, 3, 2, 7, 5, 4, 3, 5, 4, 3, 4, 7, 5, -1 4, 3, 7, 3, 3, 5, 4, 3, 5, 6, 3, 5, 5, 3, 3, 4, 7, 3, 5, 6, 4, 6, 4, 5, 6, 4, 5, 4, 3, 5, 6, 7, 4, 2, 6, 6, 3, 4, 5, 5, 5, 5, 3, 5, 3, 4, 2, 5, 3, 7, 5, 2, 4, 2, 3, 7, 5, 2, 4, 6, 4, 5, 1, 4, 5, 5, 8, 6, 5, 6, 5, 6, 3, 6, 4, 6, 4, 3, 6, 3, 4, 2, 4, 5, 5, 5, 6, 4, 5, 6, 7, 4, 4, 4, 4, 6, 4, 4, 5, 4, 6, 5, 3, 4, 2, 4, 5, 6, 3, 6, 4, 7, 6, 4, 3, 3, 5, 4, 6, 5, 3, 6, 6, 6, 4, 5, 8, 6, 4, 6, 2, 5, 4, 5, 6, 5, 6, 7, 5, 4, 2, 4, 2, 7, 5, 4, 5, 5, 5, 8, 5, 5, 4, 3, 4, 4, 5, 2, 5, 3, 4, 4, 7, 5, 5, 4, 5, 4, 6, 5, 6, 3, 5, 3, 5, 5, 5, 4, 3, 2, 4, 5, 7, 4, 5, 2, 4, 4, 7, 4, 4, 3, 4, 4, 5, 4, 5, 4, 0, 4, 4, 5, 4, 5, 6, 3, 4, 7, 4, 5, 5, 6, 4, 3, 5, 4, 1, 3, 4, 4, 5, 7, 5, 3, 4, 3, 4, 1, 3, 5, 5, 5, 4, 5, 2, 1, 6, 4, 2, 7, 4, 3, 3, 4, 4, 4, 6, 5, 5, 4, 5, 6, 3, 3, 9, 4, 2, 3, 4, 6, 5, 5, 3, 4, 6, 5, 6, 6, 5, 3, 2, 8, 6, 3, 7, 7, 4, 2, 2, 3, 5, 3, 5, 6, 6, 3, 6, 4, 2, 3, 3, 4, 6, 6, 2, 2, 6, 7, 4, 4, 2, 2, 6, 5, 3, 6, 4, 6, 6, 6, 4, 4, 2, 2, 3, 5, 4, 2, 3, 8, 5, 6, 5, 5, 2, 3, 5, 6, 4, 5, 4, 3, 5, 8, 6, 6, 4, 4, 6, 6, 5, 5, 3, 6, 6, 4, 4, 4, 6, 2, 5, 3, 6, 8, 5, 4, 4, 3, 6, 4, 6, 7, 5, 3, 3, 5, 6, 5, 2, 5, 4, 3, 5, 5, 6, 5, 7, 5, 2, 3, 5, 4, 7, 6, 4, 7, 4, 5, 3, 6, 5, 6, 4, 6, 3, 6, 4, 6, 7, 3, 4, 7, 3, 6, 3, 6, 5, 4, 5, 4, 3, 4, 5, 5, 0, 2, 4, 6, 5, 1, 4, 3, 3, 4, 3, 5, 5, 3, 5, 1, 6, 4, 4, 3, 8, 3, 3, 3, 4, 6, 3, 4, 7, 5, 4, 4, 6, 6, 5, 7, 6, 3, 3, 6, 5, 4, 3, 3, 2, 6, 4, 4, 3, 7, 4, 6, 6, 4, 2, 7, 7, 5, 7, 2, 4, 2, 6, 5, 7, 8, 5, 1, 7, 3, 7, 4, 5, 7, 6, 2, 7, 2, 6, 5, 4, 4, 4, 6, 4, 4, 1 4, 5, 4, 3, 2, 7, 3, 5, 4, 3, 4, 6, 3, 7, 6, 4, 5, 3, 6, 6, 7, 5, 4, 6, 4, 4, 4, 4, 6, 4, 4, 4, 3, 6, 5, 6, 2, 2, 4, 4, 3, 4, 3, 4, 5, 4, 3, 3, 3, 4, 8, 5, 7, 3, 2, 9, 5, 3, 3, 2, 4, 5, 2, 4, 5, 4, 6, 5, 6, 7, 4, 4, 6, 4, 2, 3, 4, 3, 4, 7, 6, 4, 4, 5, 6, 2, 5, 4, 5, 4, 4, 5, 6, 8, 3, 5, 6, 3, 5, 4, 3, 4, 4, 6, 5, 4, 8, 4, 5, 5, 8, 5, 6, 4, 2, 7, 5, 7, 5, 4, 4, 7, 5, 3, 5, 5, 4, 4, 4, 4, 5, 2, 4, 6, 3, 5, 4, 5, 4, 6, 1, 7, 4, 5, 3, 6, 3, 3, 5, 4, 3, 2, 5, 2, 5, 4, 3, 4, 8, 6, 6, 1, 4, 6, 7, 3, 4, 2, 3, 2, 4, 4, 5, 6, 7, 5, 6, 4, 5, 1, 5, 3, 5, 6, 6, 5, 6, 6, 7, 4, 6, 5, 2, 4, 4, 4, 4, 4, 6, 4, 5, 3, 2, 7, 7, 5, 5, 2, 5, 4, 5, 3, 3, 6, 8, 6, 7, 2, 3, 1, 5, 2, 4, 3, 6, 6, 5, 4, 4, 2, 4, 0, 3, 5, 5, 3, 4, 6, 3, 6, 5, 3, 4, 6, 4, 4, 6, 2, 5, 6, 7, 3, 4, 4, 3, 5, 4, 4, 4, 4, 6, 5, 4, 7, 5, 3, 3, 4, 0, 5, 5, 5, 4, 2, 6, 4, 4, 4, 5, 3, 2, 3, 6, 3, 5, 6, 6, 2, 3, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 6, 6, 4, 5, 6, 2, 2, 4, 5, 6, 3, 9, 5, 4, 4, 5, 5, 8, 6, 5, 5, 6, 3, 3, 3, 4, 6, 6, 6, 4, 3, 2, 2, 3, 5, 4, 5, 6, 6, 1, 7, 4, 5, 1, 5, 5, 5, 3, 2, 6, 5, 7, 6, 5, 4, 5, 5, 2, 5, 5, 2, 3, 2, 6, 3, 2, 7, 2, 5, 5, 6, 6, 5, 6, 5, 4, 4, 7, 3, 5, 5, 3, 3, 3, 5, 4, 5, 5, 4, 4, 4, 7, 7, 4, 2, 7, 5, 3, 4, 3, 5, 2, 5, 3, 5, 6, 6, 6, 4, 4, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 4, 6, 5, 4, 5, 5, 4, 4, 5, 4, 5, 2, 6, 3, 5, 4, 3, 5, 4, 1, 6, 3, 6, 3, 5, 5, 6, 3, 8, 4, 6, 5, 3, 5, 5, 4, 3, 6, 5, 6, 3, 3, 4, 5, 5, 6, 1, 8, 4, 5, 5, 6, 6, 4, 4, 3, 3, 5, 3, 4, 5, 4, 2, 5, 4, 4, 5, 5, 1, 2, 6, 3, 6, 4, 1, 3, 8, 3, 3, 5, -1 4, 3, 4, 3, 4, 4, 7, 4, 6, 5, 7, 3, 3, 6, 7, 6, 6, 4, 5, 3, 7, 7, 3, 4, 6, 5, 1, 4, 5, 5, 6, 2, 7, 4, 3, 4, 2, 4, 4, 1, 4, 3, 5, 5, 4, 5, 6, 4, 6, 5, 6, 3, 6, 3, 4, 7, 5, 5, 4, 4, 4, 4, 6, 5, 5, 6, 4, 4, 5, 7, 5, 7, 2, 5, 3, 6, 4, 4, 4, 4, 4, 6, 4, 4, 4, 3, 2, 5, 4, 5, 7, 3, 6, 4, 2, 5, 3, 3, 4, 7, 7, 1, 8, 4, 5, 5, 3, 3, 4, 6, 4, 5, 6, 8, 5, 3, 6, 5, 3, 4, 2, 6, 4, 3, 4, 6, 3, 5, 6, 3, 6, 4, 4, 6, 5, 5, 2, 4, 5, 6, 4, 8, 3, 4, 3, 5, 7, 3, 3, 5, 4, 4, 6, 6, 6, 3, 4, 4, 3, 4, 6, 5, 4, 5, 2, 3, 5, 2, 4, 6, 2, 4, 7, 4, 8, 8, 5, 6, 4, 7, 3, 3, 4, 5, 5, 5, 6, 9, 7, 3, 8, 3, 5, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 3, 6, 4, 3, 4, 7, 4, 3, 5, 1, 6, 5, 4, 5, 4, 6, 7, 3, 4, 5, 5, 4, 5, 4, 3, 6, 5, 1, 1, 5, 7, 4, 5, 5, 3, 4, 5, 3, 6, 4, 2, 5, 5, 4, 3, 4, 6, 6, 6, 2, 5, 2, 4, 2, 6, 3, 2, 7, 2, 6, 1, 5, 3, 6, 5, 4, 3, 6, 4, 5, 4, 1, 2, 7, 5, 5, 2, 5, 6, 4, 3, 3, 4, 7, 3, 5, 4, 4, 4, 3, 3, 6, 4, 5, 3, 6, 5, 3, 5, 5, 6, 4, 6, 3, 6, 5, 6, 2, 5, 4, 5, 3, 6, 6, 4, 6, 4, 3, 5, 7, 2, 1, 3, 6, 3, 3, 2, 5, 6, 5, 5, 3, 5, 4, 3, 2, 2, 3, 4, 4, 6, 4, 5, 3, 4, 3, 7, 4, 5, 4, 5, 1, 1, 5, 4, 4, 5, 5, 6, 2, 1, 4, 7, 4, 3, 5, 6, 4, 3, 5, 5, 6, 5, 5, 5, 6, 6, 2, 4, 4, 6, 2, 8, 6, 5, 4, 6, 4, 4, 5, 4, 1, 7, 6, 4, 7, 2, 3, 5, 4, 6, 3, 5, 6, 3, 5, 6, 5, 2, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 4, 5, 6, 5, 4, 4, 6, 5, 8, 2, 6, 5, 4, 3, 3, 3, 5, 3, 6, 2, 4, 4, 5, 5, 6, 6, 4, 4, 5, 4, 4, 4, 6, 4, 3, 2, 4, 4, 4, 2, 5, 8, 3, 3, 4, 4, 3, 1, 6, 2, 4, 3, 7, 5, 3, 4, 4, 2, 4, 5, 6, 4, 6, 4, 3, 1, 5, 4, 4, 8, 3, 4, 3, 6, 5, 3, 6, 1 4, 4, 3, 1, 3, 5, 5, 5, 4, 5, 4, 3, 3, 3, 5, 4, 5, 4, 4, 6, 6, 5, 5, 5, 7, 6, 3, 4, 2, 5, 4, 4, 2, 4, 5, 6, 4, 3, 4, 3, 4, 4, 5, 3, 6, 7, 3, 5, 5, 4, 7, 2, 4, 3, 3, 5, 5, 1, 4, 5, 4, 5, 4, 5, 6, 4, 0, 6, 5, 7, 3, 6, 4, 6, 4, 4, 7, 4, 5, 5, 3, 2, 4, 5, 3, 6, 8, 2, 4, 2, 4, 4, 6, 3, 1, 3, 4, 2, 3, 6, 3, 8, 4, 4, 5, 4, 5, 6, 6, 3, 3, 4, 6, 7, 5, 5, 4, 4, 5, 5, 4, 5, 6, 7, 8, 3, 7, 4, 4, 6, 2, 3, 3, 6, 4, 4, 3, 4, 3, 5, 4, 5, 4, 1, 4, 5, 3, 2, 6, 5, 5, 6, 4, 3, 6, 4, 2, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 1, 2, 4, 5, 5, 7, 7, 4, 6, 5, 1, 3, 0, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 7, 3, 3, 7, 7, 5, 5, 5, 7, 4, 6, 6, 3, 5, 4, 4, 5, 6, 5, 4, 6, 0, 6, 3, 5, 5, 5, 4, 3, 3, 4, 4, 5, 3, 2, 6, 5, 5, 6, 8, 4, 4, 3, 6, 6, 4, 4, 2, 6, 3, 7, 3, 7, 2, 4, 7, 4, 3, 0, 4, 4, 4, 4, 2, 3, 2, 4, 4, 3, 3, 6, 6, 4, 5, 4, 3, 3, 5, 4, 3, 3, 3, 6, 4, 6, 4, 7, 5, 4, 6, 5, 4, 5, 7, 5, 3, 5, 3, 4, 4, 6, 5, 3, 7, 4, 5, 8, 5, 4, 4, 5, 6, 5, 2, 5, 4, 3, 5, 5, 6, 5, 6, 5, 3, 5, 4, 6, 3, 2, 6, 6, 4, 4, 4, 4, 4, 2, 5, 2, 4, 8, 7, 2, 3, 4, 2, 5, 3, 7, 2, 6, 5, 4, 6, 3, 4, 6, 6, 6, 5, 5, 1, 6, 3, 2, 3, 2, 3, 3, 4, 6, 4, 4, 5, 5, 3, 5, 4, 4, 3, 3, 5, 3, 6, 4, 3, 3, 6, 5, 4, 5, 5, 6, 3, 0, 5, 6, 4, 4, 6, 4, 3, 5, 6, 3, 6, 4, 7, 3, 3, 6, 2, 9, 5, 5, 6, 3, 6, 4, 4, 5, 4, 3, 5, 1, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 6, 4, 5, 4, 4, 5, 7, 3, 3, 4, 3, 6, 7, 7, 3, 5, 3, 3, 6, 5, 4, 2, 4, 6, 2, 4, 4, 5, 4, 6, 7, 4, 2, 7, 8, 3, 4, 4, 4, 6, 1, 5, 7, 5, 4, 3, 4, 6, 6, 4, 3, 3, 7, 5, 6, 5, 6, 5, 4, 6, 5, 6, 6, 5, 3, 3, 4, 5, 5, 4, -1 5, 4, 5, 3, 3, 2, 5, 6, 5, 5, 3, 3, 4, 3, 2, 6, 2, 4, 6, 2, 6, 7, 3, 5, 4, 5, 2, 4, 4, 5, 4, 3, 3, 6, 7, 6, 4, 5, 4, 5, 5, 2, 4, 7, 2, 8, 5, 7, 6, 2, 6, 6, 5, 4, 5, 4, 5, 5, 4, 4, 7, 2, 1, 6, 3, 6, 2, 4, 3, 5, 3, 3, 3, 3, 4, 5, 2, 3, 3, 3, 4, 4, 4, 3, 4, 3, 1, 5, 2, 5, 7, 5, 9, 5, 3, 6, 3, 3, 1, 4, 2, 4, 4, 3, 2, 7, 6, 5, 4, 3, 3, 5, 6, 5, 4, 5, 4, 4, 5, 3, 2, 5, 5, 4, 4, 4, 4, 3, 7, 5, 2, 3, 7, 8, 7, 5, 7, 5, 4, 3, 3, 5, 3, 3, 7, 4, 3, 7, 3, 8, 3, 4, 5, 5, 6, 5, 6, 3, 4, 2, 6, 4, 4, 3, 7, 3, 6, 3, 6, 3, 4, 7, 4, 2, 3, 2, 7, 5, 3, 6, 7, 3, 5, 6, 5, 1, 5, 3, 6, 6, 4, 5, 3, 6, 5, 5, 4, 6, 3, 5, 4, 5, 5, 6, 6, 4, 5, 3, 5, 4, 7, 2, 3, 6, 3, 5, 3, 2, 3, 6, 3, 3, 5, 1, 5, 4, 6, 4, 6, 4, 7, 4, 5, 5, 4, 4, 4, 1, 5, 3, 6, 6, 6, 6, 7, 5, 7, 4, 5, 4, 6, 7, 5, 3, 3, 3, 4, 5, 3, 4, 6, 4, 7, 4, 6, 4, 4, 5, 4, 4, 5, 3, 7, 4, 5, 3, 7, 5, 5, 5, 4, 5, 4, 4, 6, 4, 5, 6, 2, 4, 4, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 5, 4, 6, 6, 7, 4, 8, 5, 4, 3, 3, 4, 3, 6, 3, 7, 4, 4, 5, 2, 5, 4, 2, 3, 2, 7, 6, 5, 3, 5, 5, 5, 4, 6, 4, 2, 5, 3, 5, 4, 3, 4, 2, 4, 5, 3, 5, 0, 4, 5, 3, 4, 2, 3, 6, 3, 0, 4, 4, 6, 7, 5, 2, 5, 6, 5, 5, 4, 5, 5, 5, 7, 6, 5, 3, 5, 5, 6, 5, 8, 5, 3, 4, 6, 4, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 7, 4, 4, 3, 5, 6, 4, 3, 3, 6, 6, 3, 4, 6, 4, 4, 5, 4, 3, 5, 4, 7, 4, 6, 4, 6, 4, 7, 6, 4, 3, 5, 6, 4, 7, 4, 4, 5, 6, 4, 5, 7, 5, 4, 4, 7, 5, 8, 7, 3, 6, 5, 5, 4, 4, 3, 3, 7, 2, 2, 3, 2, 3, 2, 4, 6, 5, 6, 4, 3, 6, 6, 4, 5, 4, 4, 5, 5, 4, 6, 5, 3, 4, 3, 6, 3, 5, 5, 5, 4, 5, 6, 3, 4, 6, 6, 7, 6, 4, 5, 5, 6, 4, 3, 1 5, 2, 3, 5, 2, 2, 6, 2, 4, 4, 5, 5, 4, 4, 8, 6, 5, 5, 5, 4, 6, 5, 5, 4, 5, 3, 0, 3, 4, 4, 5, 1, 4, 4, 7, 6, 3, 3, 5, 7, 4, 3, 5, 4, 5, 5, 5, 7, 2, 4, 3, 5, 3, 3, 6, 5, 6, 3, 4, 3, 7, 5, 3, 4, 4, 4, 4, 4, 3, 3, 4, 6, 5, 5, 5, 5, 4, 3, 5, 5, 6, 7, 3, 5, 7, 6, 5, 4, 4, 4, 4, 7, 6, 2, 4, 2, 5, 1, 3, 4, 4, 3, 5, 3, 4, 3, 7, 4, 5, 5, 4, 6, 6, 4, 3, 5, 5, 2, 5, 5, 2, 3, 5, 4, 5, 6, 4, 6, 4, 5, 3, 2, 2, 2, 6, 7, 5, 6, 3, 5, 3, 4, 2, 1, 5, 3, 3, 3, 6, 6, 3, 4, 6, 4, 5, 6, 4, 4, 5, 5, 5, 4, 5, 4, 5, 2, 6, 5, 3, 5, 6, 6, 5, 6, 3, 4, 5, 2, 4, 2, 6, 2, 5, 4, 6, 5, 4, 7, 7, 4, 7, 4, 2, 5, 3, 5, 4, 4, 5, 4, 3, 5, 3, 3, 3, 4, 6, 9, 3, 5, 4, 5, 5, 4, 6, 4, 4, 3, 5, 6, 6, 6, 5, 5, 4, 5, 6, 4, 4, 5, 3, 6, 4, 5, 5, 2, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 3, 8, 5, 3, 5, 6, 4, 3, 4, 4, 2, 6, 5, 0, 4, 4, 5, 5, 4, 4, 3, 4, 6, 1, 5, 3, 6, 4, 5, 5, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 3, 6, 2, 4, 8, 6, 8, 4, 5, 6, 5, 3, 4, 5, 5, 6, 5, 4, 4, 7, 2, 3, 5, 6, 4, 3, 4, 1, 6, 3, 4, 6, 4, 4, 5, 5, 2, 4, 2, 2, 5, 5, 4, 3, 4, 4, 7, 4, 3, 3, 4, 4, 6, 5, 3, 4, 5, 5, 6, 3, 4, 4, 4, 4, 7, 5, 4, 5, 5, 5, 5, 1, 4, 5, 5, 2, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 2, 6, 5, 5, 6, 7, 2, 3, 5, 4, 5, 5, 4, 8, 2, 2, 4, 3, 3, 5, 1, 6, 4, 4, 5, 5, 5, 5, 4, 7, 5, 5, 5, 5, 7, 4, 3, 6, 7, 3, 4, 3, 6, 2, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 6, 3, 2, 6, 4, 3, 4, 3, 7, 4, 5, 5, 7, 7, 3, 6, 5, 3, 5, 4, 6, 5, 6, 5, 3, 2, 5, 6, 4, 5, 3, 7, 8, 8, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 6, 2, 5, 4, 3, 6, 6, 4, 7, 5, 6, 5, 7, 3, 4, 4, 4, 8, 4, 5, 5, 4, 5, 6, 5, 1, 5, 4, 1 6, 4, 2, 5, 5, 3, 6, 4, 3, 5, 3, 6, 4, 3, 4, 6, 6, 3, 5, 3, 5, 7, 6, 5, 4, 3, 5, 4, 3, 3, 3, 2, 5, 4, 7, 2, 5, 7, 6, 3, 4, 3, 5, 5, 7, 6, 5, 6, 3, 3, 5, 5, 4, 3, 3, 8, 5, 5, 5, 5, 5, 4, 7, 2, 6, 5, 3, 7, 4, 4, 4, 4, 2, 4, 4, 5, 1, 6, 5, 4, 3, 2, 4, 6, 5, 6, 7, 5, 6, 7, 4, 3, 5, 5, 3, 4, 4, 1, 5, 4, 2, 5, 4, 6, 7, 2, 4, 2, 6, 3, 2, 4, 5, 5, 5, 4, 4, 7, 6, 2, 2, 4, 3, 8, 8, 5, 5, 5, 2, 7, 3, 4, 8, 3, 2, 3, 4, 3, 4, 6, 5, 4, 3, 4, 3, 5, 4, 4, 6, 4, 6, 4, 4, 4, 8, 5, 5, 1, 6, 5, 4, 4, 7, 6, 3, 3, 3, 5, 3, 1, 3, 6, 4, 3, 3, 6, 6, 3, 3, 4, 5, 4, 4, 5, 4, 4, 5, 6, 7, 6, 5, 3, 2, 6, 3, 5, 5, 4, 4, 2, 3, 5, 3, 3, 3, 3, 3, 2, 4, 4, 5, 5, 5, 4, 5, 3, 2, 3, 2, 4, 5, 5, 3, 6, 5, 3, 3, 4, 4, 6, 4, 3, 3, 6, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 7, 5, 4, 3, 2, 6, 2, 5, 4, 3, 3, 4, 3, 4, 7, 2, 4, 4, 4, 7, 5, 3, 5, 4, 4, 6, 5, 4, 4, 6, 5, 5, 7, 4, 6, 5, 4, 4, 5, 4, 5, 2, 7, 6, 7, 6, 5, 7, 8, 4, 5, 4, 5, 4, 3, 8, 6, 5, 6, 4, 5, 4, 5, 4, 5, 7, 6, 4, 4, 6, 3, 3, 6, 2, 3, 4, 3, 5, 5, 5, 5, 4, 6, 4, 7, 3, 4, 6, 5, 3, 5, 5, 6, 5, 6, 3, 3, 6, 4, 2, 4, 5, 6, 5, 2, 4, 5, 3, 6, 2, 6, 6, 3, 4, 4, 5, 6, 3, 5, 6, 4, 5, 5, 3, 5, 4, 4, 5, 5, 6, 5, 3, 6, 4, 3, 4, 4, 3, 3, 5, 5, 4, 6, 6, 4, 4, 4, 3, 4, 7, 4, 3, 6, 6, 4, 3, 3, 8, 7, 2, 5, 4, 4, 6, 5, 7, 6, 2, 5, 6, 5, 3, 4, 5, 4, 3, 4, 4, 6, 4, 4, 5, 6, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 6, 7, 3, 3, 5, 5, 4, 6, 4, 3, 6, 4, 5, 3, 4, 3, 2, 8, 4, 4, 5, 6, 2, 5, 4, 4, 2, 6, 8, 2, 3, 5, 4, 5, 5, 6, 4, 4, 3, 2, 3, 3, 5, 1, 5, 4, 5, 4, 2, 3, 6, 4, 4, 6, 5, 2, 2, 4, 3, 3, 5, 5, 1 7, 4, 3, 3, 5, 1, 5, 5, 5, 4, 4, 5, 5, 3, 5, 7, 5, 6, 5, 4, 5, 6, 4, 5, 3, 3, 3, 4, 4, 4, 6, 4, 4, 9, 9, 6, 5, 4, 4, 4, 3, 5, 5, 2, 5, 5, 3, 6, 6, 4, 5, 5, 6, 4, 3, 6, 6, 6, 4, 6, 5, 5, 4, 4, 5, 2, 2, 6, 5, 8, 4, 6, 6, 5, 4, 6, 5, 2, 4, 5, 1, 5, 3, 4, 6, 6, 5, 5, 3, 3, 7, 4, 5, 5, 4, 6, 2, 6, 4, 5, 4, 5, 3, 4, 0, 4, 6, 5, 4, 4, 3, 4, 7, 2, 7, 3, 4, 4, 3, 5, 3, 4, 2, 6, 5, 4, 6, 5, 5, 4, 5, 5, 5, 4, 3, 4, 2, 6, 7, 7, 1, 4, 4, 4, 3, 6, 3, 5, 4, 6, 6, 2, 5, 3, 4, 2, 5, 2, 4, 5, 4, 5, 2, 5, 2, 6, 2, 7, 3, 2, 2, 5, 5, 1, 4, 7, 5, 4, 3, 2, 7, 4, 4, 5, 4, 4, 6, 6, 8, 6, 4, 3, 4, 4, 5, 6, 2, 6, 4, 3, 4, 4, 4, 5, 4, 7, 4, 4, 6, 3, 4, 3, 4, 5, 3, 4, 3, 5, 4, 5, 4, 2, 5, 4, 3, 6, 7, 1, 6, 8, 4, 6, 5, 5, 4, 4, 5, 6, 3, 5, 6, 3, 4, 5, 5, 6, 7, 5, 5, 5, 5, 4, 6, 4, 5, 4, 5, 7, 4, 3, 5, 4, 5, 5, 5, 3, 3, 3, 4, 3, 5, 5, 8, 5, 4, 4, 4, 7, 7, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 6, 6, 5, 5, 5, 5, 3, 7, 5, 5, 2, 7, 4, 5, 5, 6, 4, 3, 4, 4, 4, 2, 5, 7, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 6, 5, 6, 6, 3, 2, 3, 6, 3, 2, 6, 5, 9, 3, 4, 4, 4, 5, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 5, 5, 3, 7, 3, 2, 5, 6, 5, 5, 5, 5, 6, 4, 5, 6, 3, 5, 6, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 7, 4, 4, 2, 4, 6, 4, 5, 3, 4, 6, 5, 2, 5, 3, 2, 5, 3, 6, 3, 6, 4, 5, 4, 3, 3, 3, 7, 7, 4, 5, 5, 5, 6, 7, 4, 5, 3, 5, 4, 4, 7, 6, 2, 5, 4, 7, 5, 6, 3, 4, 6, 5, 5, 7, 3, 5, 6, 4, 4, 3, 3, 4, 4, 4, 3, 1, 5, 5, 2, 3, 3, 3, 4, 4, 5, 7, 4, 4, 3, 3, 3, 7, 3, 7, 3, 6, 4, 2, 5, 4, 5, 3, 2, 5, 4, 8, 5, 3, 3, 1, 4, 3, 0, -1 5, 5, 1, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 4, 2, 4, 5, 5, 4, 6, 7, 5, 3, 5, 3, 1, 5, 5, 5, 3, 4, 6, 4, 2, 7, 4, 3, 5, 3, 4, 4, 2, 3, 3, 5, 3, 4, 6, 6, 6, 5, 7, 6, 4, 5, 6, 6, 5, 4, 1, 6, 4, 5, 6, 3, 3, 4, 5, 2, 5, 3, 6, 2, 7, 6, 7, 2, 4, 9, 3, 5, 6, 2, 4, 2, 6, 4, 4, 4, 6, 4, 6, 4, 6, 4, 4, 2, 3, 5, 1, 4, 4, 5, 6, 4, 7, 6, 3, 3, 5, 6, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 0, 5, 6, 3, 6, 7, 4, 5, 4, 5, 3, 3, 3, 5, 5, 3, 3, 2, 4, 4, 3, 5, 8, 4, 7, 6, 5, 5, 3, 6, 4, 6, 5, 5, 3, 5, 5, 4, 5, 5, 7, 6, 4, 7, 4, 3, 5, 3, 9, 4, 6, 4, 6, 4, 5, 4, 6, 1, 4, 4, 2, 6, 7, 5, 6, 4, 4, 4, 1, 4, 5, 3, 5, 4, 5, 6, 4, 5, 7, 4, 5, 4, 5, 5, 2, 5, 2, 5, 4, 5, 3, 3, 5, 3, 5, 4, 5, 4, 4, 5, 2, 6, 4, 4, 5, 6, 4, 3, 3, 3, 5, 2, 5, 4, 5, 5, 7, 5, 6, 4, 5, 3, 2, 5, 4, 5, 7, 5, 5, 4, 4, 3, 3, 4, 6, 6, 5, 5, 3, 4, 5, 6, 4, 6, 5, 3, 4, 5, 4, 5, 3, 4, 4, 7, 2, 5, 4, 6, 4, 5, 3, 3, 3, 5, 4, 6, 4, 4, 5, 5, 3, 3, 5, 6, 5, 5, 4, 5, 6, 5, 5, 6, 4, 4, 6, 8, 5, 3, 5, 2, 5, 5, 2, 4, 5, 5, 6, 3, 4, 3, 3, 5, 4, 7, 5, 0, 6, 5, 6, 5, 2, 4, 3, 3, 5, 3, 3, 5, 3, 5, 4, 3, 4, 5, 6, 4, 3, 3, 5, 4, 4, 6, 5, 2, 6, 4, 4, 5, 6, 5, 4, 4, 6, 3, 2, 3, 1, 4, 7, 3, 5, 4, 6, 4, 3, 7, 4, 5, 6, 4, 5, 2, 0, 3, 3, 6, 4, 4, 5, 3, 5, 3, 2, 4, 3, 6, 6, 5, 4, 6, 2, 7, 4, 6, 6, 4, 5, 2, 4, 4, 1, 1, 5, 0, 7, 4, 4, 3, 4, 2, 4, 5, 4, 4, 6, 5, 4, 7, 5, 6, 4, 5, 5, 4, 4, 5, 4, 8, 3, 5, 4, 3, 3, 4, 3, 4, 6, 2, 5, 5, 6, 4, 2, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 6, 4, 4, 2, 5, 4, 4, 5, 5, 5, 3, 2, 4, 8, 0, 9, 2, 8, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 0, 5, 4, 5, 1, 1 5, 7, 7, 7, 4, 5, 5, 3, 4, 6, 3, 5, 6, 6, 4, 3, 4, 4, 4, 4, 7, 4, 4, 5, 5, 4, 4, 6, 3, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 7, 4, 4, 3, 6, 5, 5, 4, 3, 5, 4, 5, 4, 4, 1, 5, 4, 3, 3, 2, 6, 3, 4, 4, 4, 7, 5, 4, 5, 5, 6, 4, 3, 3, 5, 2, 4, 6, 7, 5, 3, 2, 6, 3, 7, 5, 4, 3, 4, 2, 4, 5, 6, 3, 1, 5, 2, 2, 5, 5, 5, 3, 3, 4, 3, 3, 7, 3, 4, 4, 4, 5, 1, 4, 6, 5, 3, 4, 3, 4, 1, 5, 6, 6, 5, 4, 5, 7, 3, 4, 3, 4, 3, 6, 4, 4, 5, 5, 3, 5, 6, 9, 7, 6, 6, 5, 3, 5, 3, 4, 5, 4, 5, 5, 3, 5, 4, 6, 5, 5, 5, 4, 6, 6, 3, 3, 6, 5, 4, 4, 4, 9, 5, 3, 5, 6, 5, 4, 5, 4, 5, 6, 3, 4, 5, 2, 8, 5, 6, 2, 4, 3, 3, 4, 3, 4, 1, 4, 4, 7, 5, 3, 3, 6, 6, 5, 5, 4, 1, 2, 4, 5, 5, 4, 3, 4, 2, 5, 4, 3, 4, 6, 4, 4, 4, 3, 1, 5, 4, 5, 3, 1, 2, 5, 3, 1, 7, 5, 4, 6, 3, 6, 1, 5, 5, 3, 7, 6, 4, 7, 6, 3, 5, 5, 3, 3, 4, 7, 4, 5, 7, 4, 5, 5, 6, 4, 5, 6, 3, 5, 5, 6, 6, 3, 4, 6, 7, 5, 5, 5, 4, 5, 3, 3, 5, 3, 4, 2, 0, 4, 5, 5, 1, 7, 5, 7, 7, 3, 6, 5, 3, 6, 3, 5, 7, 4, 2, 5, 8, 5, 6, 5, 5, 3, 6, 4, 4, 5, 2, 5, 4, 3, 5, 6, 5, 4, 4, 4, 6, 5, 7, 5, 4, 4, 6, 4, 4, 5, 4, 8, 2, 6, 5, 5, 4, 3, 5, 6, 4, 7, 5, 5, 3, 6, 0, 3, 4, 2, 3, 5, 4, 8, 7, 6, 3, 5, 6, 5, 5, 4, 5, 3, 4, 5, 6, 3, 5, 5, 3, 3, 5, 5, 2, 4, 4, 4, 5, 4, 2, 4, 5, 5, 5, 7, 5, 5, 4, 6, 6, 3, 7, 3, 6, 4, 3, 3, 5, 4, 5, 6, 5, 5, 2, 6, 5, 3, 6, 4, 3, 3, 3, 4, 5, 2, 4, 5, 3, 4, 4, 4, 5, 4, 5, 6, 4, 2, 4, 4, 5, 5, 4, 3, 4, 2, 3, 1, 7, 3, 6, 7, 4, 3, 3, 4, 0, 7, 4, 4, 5, 6, 4, 4, 5, 3, 4, 2, 5, 4, 2, 1, 3, 4, 4, 4, 5, 7, 6, 3, 4, 3, 5, 3, 4, 5, 3, 5, 5, 6, 8, 4, 3, 5, 3, 3, 7, 5, 4, 4, 3, 2, -1 4, 4, 4, 3, 5, 4, 6, 4, 4, 4, 5, 5, 6, 1, 6, 4, 2, 6, 6, 4, 5, 5, 3, 3, 7, 6, 4, 5, 4, 5, 4, 6, 4, 1, 5, 3, 5, 5, 7, 1, 3, 4, 3, 5, 2, 3, 4, 4, 2, 3, 8, 7, 4, 4, 7, 5, 6, 1, 1, 4, 2, 4, 7, 2, 2, 3, 0, 4, 6, 8, 4, 5, 3, 6, 4, 4, 4, 2, 1, 4, 1, 8, 5, 4, 6, 4, 5, 3, 4, 5, 4, 6, 3, 7, 4, 4, 2, 4, 4, 8, 5, 6, 5, 5, 1, 6, 5, 4, 3, 5, 5, 3, 5, 5, 2, 6, 2, 6, 6, 5, 2, 4, 4, 2, 4, 7, 4, 6, 7, 5, 6, 4, 5, 3, 4, 5, 6, 6, 3, 5, 4, 4, 4, 3, 6, 6, 5, 5, 4, 6, 5, 4, 3, 7, 5, 4, 4, 5, 4, 6, 6, 4, 7, 4, 4, 3, 6, 6, 6, 6, 2, 4, 7, 6, 3, 7, 5, 5, 3, 5, 3, 9, 4, 4, 4, 4, 2, 5, 3, 6, 5, 3, 5, 5, 3, 4, 3, 6, 7, 3, 4, 5, 2, 6, 4, 3, 8, 4, 4, 4, 6, 5, 5, 5, 1, 4, 6, 1, 3, 3, 3, 2, 3, 3, 4, 5, 6, 6, 4, 6, 5, 4, 3, 7, 5, 4, 2, 5, 7, 6, 1, 7, 3, 4, 5, 3, 4, 3, 2, 7, 4, 4, 5, 5, 4, 2, 4, 4, 8, 4, 5, 5, 8, 4, 2, 5, 5, 4, 2, 3, 3, 2, 5, 3, 9, 4, 4, 2, 4, 4, 3, 6, 4, 3, 4, 6, 2, 3, 5, 8, 5, 7, 5, 2, 5, 6, 6, 3, 3, 6, 4, 5, 4, 8, 3, 3, 3, 5, 5, 5, 2, 6, 3, 4, 4, 4, 6, 2, 4, 6, 3, 5, 5, 5, 4, 5, 5, 2, 3, 3, 5, 6, 4, 6, 4, 5, 1, 4, 1, 4, 6, 6, 4, 4, 4, 3, 4, 4, 3, 6, 3, 5, 6, 5, 6, 3, 4, 4, 4, 5, 3, 6, 5, 2, 5, 1, 5, 4, 2, 4, 4, 5, 4, 5, 3, 4, 5, 6, 2, 2, 4, 4, 4, 4, 5, 3, 5, 2, 5, 5, 3, 8, 5, 8, 6, 4, 3, 1, 7, 3, 4, 6, 5, 3, 5, 3, 5, 5, 3, 9, 5, 1, 4, 3, 5, 4, 4, 6, 4, 3, 7, 6, 6, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 6, 3, 4, 6, 4, 3, 5, 3, 6, 4, 4, 7, 6, 4, 3, 4, 5, 6, 4, 3, 7, 7, 2, 6, 2, 4, 6, 6, 5, 7, 1, 6, 3, 7, 4, 3, 4, 4, 4, 4, 4, 5, 7, 9, 8, 5, 2, 5, 3, 6, 2, 4, 5, 3, 3, 3, 1, 6, 5, 4, 6, 8, 6, 4, 6, 5, 6, 1 7, 2, 4, 8, 4, 4, 4, 1, 3, 5, 3, 5, 6, 6, 6, 3, 5, 4, 7, 4, 4, 7, 4, 6, 4, 7, 3, 6, 5, 5, 4, 5, 6, 3, 5, 1, 7, 3, 3, 5, 7, 9, 4, 4, 3, 6, 5, 3, 2, 6, 6, 4, 5, 3, 5, 5, 5, 5, 3, 5, 6, 2, 3, 3, 1, 5, 4, 6, 3, 7, 4, 6, 5, 4, 6, 6, 3, 3, 3, 1, 7, 4, 4, 5, 4, 4, 5, 7, 5, 1, 4, 1, 6, 5, 4, 6, 3, 7, 3, 6, 4, 3, 6, 5, 3, 6, 6, 4, 4, 5, 3, 5, 5, 5, 4, 4, 6, 3, 4, 6, 6, 5, 6, 2, 5, 4, 4, 5, 6, 5, 3, 2, 6, 3, 3, 5, 5, 7, 6, 4, 3, 6, 4, 5, 6, 6, 3, 5, 7, 5, 3, 5, 3, 4, 2, 3, 3, 5, 8, 4, 4, 5, 9, 2, 7, 4, 8, 5, 2, 3, 5, 4, 5, 3, 4, 5, 3, 3, 5, 6, 5, 4, 5, 5, 4, 7, 7, 4, 6, 4, 6, 6, 3, 7, 2, 4, 5, 1, 5, 4, 7, 4, 2, 4, 4, 5, 4, 7, 5, 5, 3, 5, 3, 4, 5, 2, 4, 2, 6, 4, 3, 4, 2, 6, 6, 5, 5, 6, 4, 8, 4, 2, 4, 5, 1, 6, 3, 4, 6, 7, 7, 7, 6, 8, 8, 5, 7, 5, 4, 5, 5, 4, 5, 2, 6, 4, 4, 5, 8, 2, 4, 6, 6, 5, 3, 6, 8, 6, 3, 4, 5, 5, 7, 4, 6, 5, 7, 5, 6, 6, 4, 4, 6, 4, 7, 4, 3, 3, 3, 4, 5, 6, 7, 5, 6, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 6, 4, 4, 3, 5, 5, 6, 5, 6, 5, 6, 7, 5, 8, 6, 5, 5, 6, 4, 8, 5, 6, 4, 4, 5, 3, 6, 0, 6, 3, 5, 4, 7, 4, 4, 4, 3, 6, 4, 7, 5, 4, 7, 4, 6, 4, 4, 5, 6, 3, 5, 1, 3, 6, 4, 5, 5, 4, 6, 4, 4, 6, 6, 3, 4, 5, 6, 6, 6, 2, 5, 4, 2, 3, 5, 6, 4, 8, 2, 5, 5, 5, 4, 5, 6, 5, 5, 3, 5, 7, 6, 5, 6, 4, 5, 3, 3, 6, 5, 4, 6, 4, 3, 3, 4, 2, 4, 6, 3, 6, 4, 2, 4, 6, 4, 7, 7, 3, 3, 3, 1, 5, 3, 5, 4, 1, 5, 5, 5, 5, 4, 7, 4, 5, 6, 3, 4, 4, 5, 7, 5, 3, 5, 5, 5, 3, 2, 6, 5, 3, 4, 6, 2, 4, 5, 4, 5, 7, 5, 4, 2, 5, 6, 5, 4, 4, 7, 6, 3, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 5, 5, 5, 5, 4, 4, 3, 6, 5, 4, 5, 1 4, 4, 4, 5, 5, 1, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 3, 3, 3, 7, 5, 5, 7, 4, 6, 3, 2, 4, 8, 7, 5, 5, 4, 4, 4, 7, 6, 6, 8, 5, 4, 8, 3, 4, 4, 4, 4, 5, 7, 5, 1, 5, 2, 3, 1, 4, 5, 5, 3, 4, 4, 4, 3, 8, 6, 6, 8, 6, 7, 3, 5, 5, 4, 5, 2, 5, 2, 4, 5, 2, 2, 5, 4, 4, 6, 5, 5, 3, 5, 5, 7, 3, 5, 5, 5, 7, 6, 5, 5, 4, 6, 5, 4, 5, 4, 6, 7, 5, 4, 4, 5, 7, 5, 4, 4, 5, 4, 4, 6, 5, 3, 5, 4, 3, 8, 4, 3, 6, 6, 6, 7, 3, 5, 7, 3, 3, 5, 6, 6, 5, 6, 5, 4, 4, 3, 6, 3, 4, 5, 6, 6, 5, 5, 6, 8, 4, 6, 5, 6, 5, 3, 5, 5, 4, 6, 4, 5, 1, 7, 3, 4, 6, 9, 4, 4, 7, 5, 4, 4, 2, 3, 5, 1, 5, 6, 3, 6, 7, 4, 4, 5, 4, 1, 6, 5, 4, 0, 5, 4, 4, 4, 3, 2, 5, 6, 3, 3, 7, 4, 4, 4, 7, 2, 5, 6, 6, 3, 5, 4, 5, 7, 5, 5, 5, 2, 3, 5, 5, 6, 4, 4, 4, 3, 4, 5, 3, 2, 2, 6, 4, 3, 4, 2, 4, 5, 3, 6, 4, 3, 5, 4, 6, 4, 4, 1, 4, 3, 4, 6, 6, 4, 4, 7, 3, 4, 6, 6, 5, 3, 3, 5, 5, 6, 4, 6, 4, 2, 4, 5, 5, 5, 6, 6, 3, 4, 6, 7, 6, 5, 3, 4, 4, 2, 5, 2, 2, 5, 5, 7, 3, 2, 4, 4, 1, 5, 4, 6, 6, 2, 4, 5, 4, 5, 4, 3, 5, 3, 0, 8, 7, 5, 5, 2, 5, 5, 3, 3, 4, 4, 6, 6, 5, 2, 3, 5, 6, 6, 4, 3, 7, 6, 7, 7, 6, 5, 5, 5, 5, 2, 6, 4, 5, 4, 4, 4, 4, 4, 6, 4, 4, 6, 2, 4, 8, 6, 4, 3, 6, 6, 2, 4, 4, 3, 5, 3, 4, 1, 3, 7, 3, 5, 5, 5, 4, 2, 4, 4, 5, 5, 3, 5, 6, 4, 4, 4, 9, 6, 5, 5, 4, 6, 5, 6, 4, 5, 5, 2, 4, 3, 7, 6, 1, 3, 3, 4, 5, 3, 4, 4, 4, 3, 6, 3, 2, 2, 7, 4, 1, 3, 2, 7, 2, 5, 5, 7, 4, 3, 4, 9, 4, 3, 3, 1, 7, 4, 3, 4, 5, 5, 5, 5, 8, 4, 5, 3, 6, 3, 4, 3, 5, 5, 3, 6, 5, 7, 7, 4, 3, 6, 5, 5, 4, 2, 4, 6, 4, 5, 6, 5, 4, 7, 3, 8, 5, 6, 3, 4, 4, 4, 5, 3, 3, 1, 4, 7, 5, 3, 3, 5, 6, -1 5, 4, 5, 4, 2, 3, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 2, 4, 4, 6, 9, 2, 5, 3, 7, 5, 2, 5, 2, 5, 5, 5, 4, 3, 8, 7, 4, 5, 3, 6, 4, 3, 4, 2, 5, 5, 3, 3, 7, 7, 6, 4, 6, 4, 4, 5, 3, 6, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 6, 5, 4, 4, 4, 3, 7, 6, 6, 4, 5, 2, 3, 6, 1, 5, 4, 5, 5, 6, 6, 2, 4, 3, 8, 1, 6, 4, 6, 5, 4, 7, 5, 4, 3, 3, 5, 5, 4, 3, 6, 3, 7, 4, 3, 5, 4, 5, 4, 5, 5, 5, 3, 6, 5, 2, 5, 6, 1, 4, 5, 5, 3, 5, 5, 4, 7, 3, 4, 3, 5, 3, 7, 3, 5, 4, 6, 6, 4, 4, 2, 5, 5, 6, 6, 5, 6, 5, 6, 5, 5, 5, 7, 3, 5, 5, 4, 6, 5, 6, 6, 5, 2, 7, 2, 3, 6, 5, 4, 5, 4, 6, 6, 5, 3, 7, 5, 4, 7, 6, 6, 4, 3, 6, 3, 5, 5, 4, 2, 3, 4, 4, 8, 5, 5, 6, 4, 3, 3, 6, 7, 4, 5, 4, 2, 7, 6, 4, 5, 3, 6, 3, 6, 4, 6, 4, 7, 6, 5, 5, 8, 6, 2, 4, 4, 5, 4, 3, 3, 5, 7, 7, 5, 4, 4, 4, 6, 4, 4, 6, 4, 4, 4, 6, 4, 5, 4, 4, 4, 5, 4, 1, 5, 2, 3, 5, 4, 4, 3, 3, 6, 3, 4, 6, 6, 1, 3, 3, 7, 7, 4, 3, 3, 5, 3, 3, 4, 5, 6, 6, 5, 7, 6, 5, 3, 5, 7, 6, 4, 3, 4, 6, 5, 6, 5, 2, 5, 3, 3, 5, 4, 5, 4, 4, 3, 5, 6, 4, 5, 5, 1, 6, 4, 5, 1, 5, 3, 5, 5, 5, 5, 3, 4, 5, 2, 6, 5, 6, 4, 4, 5, 6, 4, 6, 6, 4, 3, 5, 4, 6, 5, 5, 4, 5, 5, 4, 4, 5, 6, 5, 4, 3, 3, 7, 2, 2, 3, 5, 3, 6, 4, 6, 6, 3, 6, 5, 4, 3, 6, 3, 8, 3, 2, 4, 3, 3, 6, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 5, 5, 7, 5, 5, 6, 3, 5, 8, 5, 6, 7, 5, 3, 4, 6, 3, 5, 5, 4, 2, 6, 3, 4, 6, 6, 3, 3, 2, 6, 6, 7, 6, 4, 2, 5, 2, 3, 5, 6, 5, 3, 5, 4, 4, 3, 5, 7, 7, 6, 6, 2, 2, 4, 5, 5, 2, 2, 7, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 4, 3, 4, 4, 6, 4, 4, 4, 7, 6, 3, 4, 2, 6, 5, 5, 3, 4, 4, 4, 1, 5, 6, 3, 5, 5, 6, 5, 8, 6, 6, 6, 3, 4, 7, 5, 1 5, 4, 6, 4, 3, 4, 4, 3, 5, 4, 7, 5, 6, 3, 3, 2, 5, 5, 5, 5, 6, 2, 3, 4, 4, 6, 4, 3, 4, 4, 4, 7, 4, 4, 4, 7, 3, 4, 2, 4, 5, 7, 3, 4, 6, 6, 5, 5, 1, 5, 3, 3, 3, 3, 5, 4, 6, 4, 4, 5, 5, 6, 2, 4, 3, 7, 4, 6, 3, 4, 3, 5, 3, 6, 4, 5, 6, 3, 3, 5, 5, 4, 3, 5, 5, 3, 3, 4, 5, 6, 4, 5, 5, 5, 7, 3, 4, 6, 4, 6, 3, 4, 5, 4, 3, 3, 6, 6, 3, 4, 3, 4, 5, 3, 5, 4, 4, 5, 5, 7, 4, 3, 5, 5, 4, 6, 3, 4, 3, 7, 5, 4, 4, 3, 5, 3, 4, 6, 4, 3, 4, 5, 2, 1, 6, 5, 4, 5, 5, 6, 5, 4, 6, 3, 6, 5, 8, 4, 8, 1, 2, 3, 7, 4, 4, 3, 6, 3, 7, 5, 5, 4, 5, 4, 3, 3, 6, 2, 3, 5, 5, 6, 2, 4, 1, 5, 5, 4, 4, 4, 5, 5, 1, 5, 3, 5, 3, 4, 4, 3, 3, 6, 4, 4, 4, 2, 5, 6, 4, 5, 4, 6, 3, 4, 7, 6, 4, 5, 4, 5, 4, 6, 4, 6, 5, 4, 3, 5, 3, 4, 5, 4, 4, 5, 8, 4, 5, 2, 6, 5, 4, 7, 4, 2, 3, 3, 5, 3, 5, 5, 5, 6, 4, 4, 1, 3, 5, 5, 4, 2, 5, 4, 4, 5, 6, 5, 3, 5, 6, 4, 5, 4, 6, 3, 5, 5, 4, 5, 4, 1, 6, 3, 6, 4, 5, 3, 3, 6, 5, 3, 8, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 7, 4, 6, 6, 5, 6, 6, 6, 7, 4, 4, 1, 6, 2, 3, 5, 6, 4, 6, 6, 6, 5, 3, 4, 2, 7, 3, 6, 3, 6, 6, 2, 4, 5, 6, 2, 3, 5, 6, 4, 5, 2, 4, 2, 5, 2, 5, 4, 5, 5, 5, 6, 5, 4, 4, 5, 4, 5, 5, 3, 5, 6, 4, 4, 6, 1, 4, 5, 3, 4, 4, 8, 4, 5, 3, 6, 4, 1, 3, 6, 5, 5, 3, 2, 6, 5, 2, 5, 4, 5, 7, 3, 7, 5, 6, 6, 7, 5, 3, 4, 5, 3, 3, 3, 6, 3, 3, 6, 5, 6, 2, 4, 3, 5, 4, 5, 6, 4, 3, 4, 7, 5, 4, 5, 5, 5, 4, 5, 4, 6, 2, 4, 3, 7, 7, 6, 6, 5, 6, 4, 4, 4, 6, 4, 4, 4, 4, 5, 5, 6, 4, 4, 2, 5, 6, 3, 1, 6, 7, 3, 5, 4, 3, 4, 7, 6, 4, 7, 4, 5, 4, 4, 2, 5, 7, 3, 5, 4, 4, 1, 3, 5, 6, 6, 6, 2, 5, 3, 6, 4, 5, 4, 1, 8, 5, 4, 6, 4, 6, 1 3, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 2, 4, 2, 3, 5, 3, 5, 5, 4, 5, 6, 5, 5, 6, 5, 4, 5, 8, 4, 6, 6, 2, 4, 5, 4, 3, 5, 8, 7, 6, 4, 6, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 3, 3, 7, 6, 4, 5, 5, 5, 5, 3, 4, 6, 5, 6, 6, 3, 3, 5, 5, 4, 4, 3, 3, 5, 3, 6, 5, 4, 3, 2, 4, 4, 7, 4, 4, 5, 7, 4, 6, 6, 2, 4, 4, 1, 5, 3, 4, 5, 4, 3, 7, 5, 5, 7, 4, 4, 3, 3, 6, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 6, 4, 5, 6, 5, 2, 6, 3, 4, 3, 7, 5, 2, 4, 2, 3, 2, 4, 4, 5, 4, 4, 6, 2, 3, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 5, 3, 3, 4, 4, 4, 7, 4, 5, 6, 3, 6, 3, 5, 5, 4, 2, 5, 4, 6, 5, 8, 6, 5, 4, 3, 4, 5, 5, 2, 3, 3, 5, 3, 6, 3, 4, 6, 2, 3, 4, 4, 4, 6, 2, 1, 5, 7, 4, 2, 2, 5, 5, 4, 5, 4, 4, 3, 4, 4, 2, 4, 6, 5, 4, 1, 6, 6, 3, 4, 4, 4, 6, 6, 8, 4, 5, 4, 4, 3, 5, 3, 3, 2, 5, 6, 3, 5, 4, 2, 5, 5, 3, 4, 4, 4, 3, 5, 4, 3, 5, 3, 3, 3, 4, 7, 7, 4, 2, 4, 4, 6, 4, 5, 2, 5, 6, 3, 4, 6, 2, 4, 5, 6, 5, 4, 4, 6, 4, 5, 4, 4, 4, 6, 6, 5, 5, 5, 6, 6, 5, 3, 0, 5, 5, 5, 4, 5, 6, 4, 3, 4, 9, 5, 4, 7, 6, 6, 4, 4, 6, 4, 7, 3, 3, 3, 5, 4, 6, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 6, 4, 3, 3, 3, 2, 5, 5, 5, 5, 7, 4, 4, 5, 6, 5, 4, 4, 6, 5, 4, 3, 2, 6, 4, 4, 4, 3, 5, 2, 5, 3, 4, 5, 5, 5, 5, 3, 3, 2, 4, 6, 4, 5, 5, 5, 6, 4, 1, 5, 4, 5, 3, 8, 6, 6, 5, 7, 4, 7, 4, 6, 5, 7, 6, 5, 3, 3, 3, 3, 3, 3, 5, 8, 4, 3, 6, 8, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 5, 4, 5, 4, 5, 3, 5, 4, 6, 2, 6, 5, 2, 2, 2, 5, 5, 4, 8, 3, 5, 5, 5, 5, 7, 3, 2, 3, 4, 4, 5, 6, 4, 5, 5, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 6, 3, 1, 4, 6, 7, 3, 7, 6, 2, 5, 4, 3, 7, 7, 5, 5, 5, -1 5, 5, 2, 4, 1, 6, 6, 5, 3, 4, 4, 5, 6, 4, 2, 2, 6, 4, 3, 2, 7, 6, 7, 6, 5, 8, 3, 4, 4, 6, 4, 5, 3, 5, 7, 5, 6, 3, 4, 4, 3, 5, 5, 4, 5, 5, 3, 3, 3, 6, 6, 6, 3, 3, 5, 6, 5, 4, 5, 4, 5, 8, 6, 2, 6, 4, 6, 6, 7, 6, 6, 5, 4, 6, 5, 5, 5, 4, 6, 5, 2, 5, 3, 3, 7, 4, 3, 5, 5, 3, 2, 4, 4, 2, 4, 7, 7, 4, 8, 5, 5, 3, 7, 8, 4, 3, 6, 4, 5, 4, 3, 2, 6, 4, 3, 5, 5, 4, 7, 2, 6, 6, 6, 6, 7, 3, 7, 5, 3, 5, 3, 8, 6, 2, 6, 7, 3, 5, 5, 7, 5, 5, 9, 3, 5, 4, 4, 7, 6, 5, 7, 2, 5, 3, 6, 6, 5, 3, 1, 5, 5, 7, 5, 4, 3, 4, 9, 3, 3, 4, 3, 5, 8, 4, 3, 7, 7, 2, 6, 2, 3, 7, 4, 5, 4, 3, 6, 4, 8, 5, 4, 5, 5, 3, 5, 5, 3, 3, 1, 4, 7, 2, 6, 7, 6, 4, 5, 4, 3, 6, 1, 5, 6, 1, 4, 2, 7, 4, 3, 5, 3, 4, 5, 3, 5, 5, 3, 4, 4, 5, 3, 6, 2, 3, 5, 4, 6, 3, 4, 2, 4, 2, 6, 3, 4, 4, 6, 4, 6, 2, 3, 3, 3, 6, 4, 2, 2, 3, 5, 2, 6, 2, 6, 5, 4, 7, 3, 5, 2, 4, 5, 3, 6, 3, 4, 3, 4, 4, 7, 6, 3, 3, 6, 3, 5, 3, 5, 8, 2, 6, 2, 5, 2, 7, 3, 5, 4, 5, 4, 4, 3, 5, 4, 2, 8, 3, 4, 6, 7, 7, 4, 4, 4, 3, 1, 2, 6, 4, 4, 5, 4, 5, 4, 4, 4, 6, 5, 3, 6, 4, 3, 4, 4, 5, 4, 4, 6, 5, 7, 3, 7, 5, 5, 4, 2, 4, 2, 7, 3, 5, 7, 5, 3, 1, 4, 5, 3, 6, 4, 5, 6, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 5, 4, 7, 4, 5, 5, 4, 4, 4, 3, 6, 5, 5, 5, 6, 5, 8, 4, 5, 5, 6, 4, 4, 5, 6, 5, 2, 4, 6, 3, 3, 4, 5, 4, 5, 4, 6, 5, 2, 6, 6, 3, 2, 3, 5, 7, 6, 4, 2, 6, 3, 2, 3, 4, 5, 1, 5, 5, 6, 5, 6, 6, 6, 4, 5, 3, 5, 6, 8, 5, 4, 6, 5, 3, 5, 7, 4, 3, 4, 2, 2, 5, 3, 6, 5, 5, 5, 4, 5, 4, 4, 7, 4, 5, 2, 2, 4, 7, 5, 4, 3, 6, 3, 5, 4, 7, 4, 5, 4, 4, 4, 5, 4, 6, 4, 5, 7, 4, 7, 1 6, 5, 4, 2, 3, 4, 7, 3, 4, 6, 2, 4, 4, 7, 7, 5, 1, 7, 4, 3, 6, 4, 5, 6, 5, 3, 3, 4, 2, 7, 8, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 5, 2, 3, 7, 6, 6, 4, 6, 3, 5, 4, 6, 6, 5, 7, 5, 2, 5, 4, 4, 1, 6, 5, 5, 6, 5, 5, 4, 5, 5, 6, 5, 6, 4, 4, 3, 4, 5, 5, 4, 4, 4, 2, 4, 4, 8, 5, 4, 6, 6, 4, 9, 5, 3, 5, 4, 4, 6, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 5, 4, 6, 3, 4, 4, 6, 5, 1, 3, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 0, 1, 5, 3, 5, 5, 3, 3, 4, 7, 5, 1, 7, 7, 6, 3, 5, 5, 3, 5, 4, 2, 6, 1, 2, 4, 3, 3, 3, 3, 2, 4, 2, 4, 7, 4, 2, 6, 6, 5, 3, 6, 5, 5, 7, 7, 6, 4, 4, 4, 5, 5, 2, 6, 4, 4, 6, 7, 2, 3, 5, 6, 5, 3, 2, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 7, 5, 7, 3, 4, 4, 4, 2, 3, 7, 4, 7, 4, 4, 7, 6, 5, 2, 5, 2, 7, 7, 4, 4, 2, 4, 3, 5, 6, 4, 3, 6, 6, 5, 3, 4, 5, 4, 3, 4, 4, 5, 6, 7, 3, 5, 2, 4, 5, 5, 6, 4, 4, 4, 4, 6, 4, 6, 4, 2, 4, 2, 5, 5, 7, 7, 6, 4, 4, 7, 3, 6, 3, 4, 4, 7, 6, 4, 4, 3, 4, 3, 3, 4, 5, 3, 3, 6, 5, 4, 5, 4, 2, 6, 6, 5, 3, 5, 4, 3, 5, 5, 4, 3, 4, 5, 4, 6, 6, 4, 3, 4, 3, 4, 5, 3, 4, 5, 4, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 7, 3, 4, 3, 4, 4, 3, 5, 4, 6, 6, 3, 4, 4, 3, 5, 4, 4, 3, 5, 6, 5, 6, 7, 5, 6, 5, 6, 5, 2, 4, 0, 7, 5, 4, 6, 4, 6, 5, 4, 6, 2, 7, 4, 5, 3, 4, 3, 6, 5, 7, 4, 6, 3, 5, 5, 4, 4, 4, 5, 2, 6, 5, 4, 2, 6, 5, 4, 5, 8, 4, 4, 4, 3, 4, 4, 6, 3, 4, 4, 4, 5, 7, 5, 3, 4, 3, 4, 5, 3, 4, 6, 5, 3, 4, 6, 4, 6, 6, 4, 2, 3, 8, 5, 4, 6, 2, 6, 5, 4, 3, 4, 5, 4, 2, 5, 4, 8, 5, 5, 5, 6, 4, 2, 3, 7, 5, 4, 3, 5, 1, 3, 4, 6, 5, 5, 4, 3, 4, 6, 7, 7, 8, 4, 5, 3, 5, 6, 3, 1 4, 4, 3, 2, 2, 3, 4, 5, 3, 7, 7, 6, 5, 6, 6, 5, 6, 4, 2, 2, 3, 4, 3, 6, 6, 3, 4, 5, 4, 4, 6, 6, 4, 7, 9, 5, 3, 3, 6, 2, 7, 7, 5, 6, 1, 3, 3, 3, 3, 4, 5, 6, 5, 5, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 5, 6, 3, 4, 5, 4, 4, 4, 4, 4, 7, 6, 7, 3, 4, 3, 4, 4, 5, 4, 1, 5, 4, 5, 5, 4, 3, 4, 7, 5, 5, 4, 4, 3, 6, 8, 6, 5, 7, 4, 5, 7, 2, 4, 4, 4, 7, 6, 6, 5, 3, 5, 4, 4, 5, 1, 6, 2, 2, 3, 5, 3, 5, 5, 4, 3, 5, 6, 2, 4, 6, 3, 4, 2, 5, 2, 1, 4, 4, 7, 6, 3, 3, 6, 5, 4, 5, 6, 6, 7, 2, 5, 6, 3, 5, 6, 3, 4, 2, 7, 3, 5, 8, 4, 6, 4, 4, 5, 4, 8, 4, 5, 3, 6, 4, 6, 3, 3, 3, 3, 5, 3, 4, 6, 5, 5, 4, 3, 4, 3, 6, 5, 3, 5, 4, 4, 8, 1, 6, 1, 4, 6, 5, 4, 2, 4, 5, 3, 6, 4, 4, 3, 3, 4, 6, 5, 1, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 6, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 3, 4, 3, 6, 2, 4, 5, 5, 3, 5, 4, 4, 4, 7, 5, 5, 3, 6, 4, 5, 5, 4, 4, 7, 4, 2, 5, 5, 9, 4, 6, 5, 3, 5, 4, 6, 4, 2, 4, 4, 5, 6, 4, 4, 4, 3, 3, 5, 4, 3, 6, 4, 6, 4, 6, 3, 5, 2, 4, 4, 6, 1, 5, 5, 2, 5, 2, 4, 6, 6, 3, 5, 6, 6, 6, 5, 5, 7, 6, 4, 3, 7, 4, 3, 4, 4, 6, 4, 3, 4, 5, 4, 5, 5, 5, 1, 4, 4, 5, 6, 4, 3, 4, 4, 5, 1, 5, 5, 4, 6, 5, 7, 5, 6, 3, 4, 2, 4, 3, 4, 5, 4, 5, 3, 1, 3, 5, 3, 3, 5, 5, 6, 4, 2, 3, 4, 2, 5, 5, 4, 6, 4, 3, 3, 2, 4, 4, 4, 8, 5, 1, 4, 6, 3, 3, 6, 4, 5, 5, 4, 3, 5, 3, 3, 3, 4, 5, 3, 0, 4, 3, 2, 4, 3, 3, 5, 4, 3, 3, 6, 4, 3, 6, 4, 4, 4, 4, 4, 6, 4, 2, 7, 5, 3, 3, 5, 4, 3, 6, 6, 3, 6, 7, 2, 3, 4, 5, 4, 5, 5, 6, 5, 4, 6, 6, 3, 5, 5, 5, 6, 3, 6, 4, 3, 3, 1, 4, 5, 5, 7, 3, 5, 3, 4, 2, 6, 3, 4, 4, 6, 3, 3, 7, 1, 4, 2, 5, 2, 2, -1 4, 5, 5, 5, 8, 2, 4, 7, 4, 3, 5, 3, 4, 3, 3, 6, 2, 5, 4, 7, 5, 5, 6, 3, 3, 5, 6, 6, 1, 5, 6, 6, 3, 5, 8, 5, 4, 4, 2, 6, 2, 5, 3, 4, 4, 4, 4, 5, 4, 6, 5, 2, 5, 3, 4, 3, 6, 3, 3, 5, 4, 4, 5, 2, 4, 6, 6, 2, 5, 6, 7, 4, 4, 4, 6, 6, 5, 4, 4, 6, 4, 4, 5, 4, 6, 7, 5, 5, 4, 6, 4, 7, 4, 5, 5, 6, 2, 4, 7, 6, 5, 4, 7, 4, 2, 4, 4, 3, 2, 5, 5, 3, 4, 4, 4, 4, 5, 1, 5, 1, 4, 5, 4, 4, 3, 6, 6, 8, 4, 6, 5, 3, 4, 4, 9, 6, 5, 6, 3, 3, 5, 5, 5, 5, 5, 3, 2, 2, 5, 5, 5, 5, 7, 6, 5, 5, 5, 3, 4, 7, 5, 2, 5, 3, 6, 8, 3, 4, 3, 5, 2, 4, 6, 2, 5, 2, 6, 9, 4, 2, 2, 4, 6, 4, 5, 5, 7, 4, 8, 4, 7, 5, 4, 5, 4, 5, 7, 6, 3, 4, 2, 8, 4, 6, 2, 3, 3, 5, 3, 4, 2, 4, 3, 4, 7, 5, 2, 3, 9, 4, 2, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 6, 5, 3, 5, 5, 6, 3, 4, 4, 6, 7, 5, 4, 8, 3, 6, 5, 3, 5, 7, 3, 6, 6, 2, 5, 3, 3, 3, 5, 6, 5, 5, 3, 5, 5, 2, 8, 6, 5, 5, 4, 7, 4, 2, 3, 6, 4, 3, 4, 5, 3, 4, 4, 2, 4, 6, 4, 5, 4, 6, 4, 3, 6, 3, 2, 5, 3, 4, 9, 3, 3, 5, 5, 6, 6, 4, 4, 7, 3, 2, 5, 5, 1, 4, 5, 4, 4, 4, 5, 2, 5, 5, 4, 5, 1, 2, 2, 3, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 6, 4, 4, 3, 3, 6, 5, 4, 5, 5, 4, 3, 5, 7, 5, 3, 4, 5, 3, 5, 3, 2, 7, 5, 2, 5, 5, 0, 5, 1, 4, 5, 6, 4, 3, 4, 4, 4, 5, 6, 5, 5, 4, 3, 5, 6, 3, 4, 7, 2, 5, 5, 4, 5, 6, 4, 5, 8, 5, 5, 6, 6, 5, 5, 5, 4, 3, 6, 7, 5, 2, 1, 4, 5, 4, 6, 4, 3, 4, 3, 7, 4, 3, 3, 2, 7, 5, 5, 7, 6, 7, 7, 9, 4, 6, 5, 5, 5, 7, 5, 8, 4, 3, 6, 7, 4, 1, 4, 5, 5, 5, 5, 5, 6, 5, 1, 5, 4, 5, 4, 3, 3, 4, 3, 5, 5, 2, 5, 5, 4, 6, 3, 6, 4, 5, 3, 4, 2, 3, 4, 5, 6, 6, 3, 6, 5, 3, 4, 5, 5, 4, 6, 3, 4, 4, 1 4, 7, 4, 4, 3, 3, 4, 4, 5, 5, 6, 3, 5, 3, 6, 3, 5, 4, 4, 5, 4, 4, 5, 5, 6, 3, 3, 6, 5, 2, 4, 3, 2, 5, 8, 4, 4, 4, 4, 5, 4, 6, 6, 5, 6, 3, 4, 5, 6, 4, 4, 3, 3, 3, 5, 4, 5, 5, 4, 3, 6, 3, 5, 2, 6, 4, 4, 4, 7, 5, 6, 3, 3, 4, 4, 5, 5, 6, 3, 1, 4, 4, 4, 5, 7, 3, 4, 5, 5, 4, 4, 4, 5, 7, 4, 0, 5, 7, 7, 4, 4, 4, 6, 4, 5, 5, 5, 4, 5, 4, 2, 5, 6, 5, 1, 5, 4, 4, 4, 5, 7, 5, 5, 0, 5, 4, 3, 5, 5, 3, 3, 4, 3, 2, 9, 6, 9, 6, 6, 4, 4, 4, 4, 3, 6, 4, 3, 5, 4, 6, 6, 1, 4, 3, 5, 4, 6, 5, 5, 4, 6, 3, 2, 5, 6, 5, 8, 5, 4, 5, 3, 5, 5, 2, 5, 2, 5, 5, 5, 5, 4, 5, 3, 5, 3, 6, 4, 4, 7, 5, 5, 4, 4, 6, 3, 4, 7, 5, 6, 3, 4, 5, 4, 6, 5, 4, 4, 6, 4, 8, 3, 4, 5, 6, 5, 6, 6, 5, 4, 4, 3, 6, 3, 6, 5, 3, 5, 5, 6, 5, 5, 5, 4, 6, 5, 6, 3, 6, 4, 6, 5, 3, 2, 3, 6, 6, 5, 4, 2, 4, 4, 6, 7, 5, 4, 4, 6, 5, 4, 5, 7, 3, 4, 5, 6, 4, 3, 3, 4, 4, 3, 6, 7, 3, 6, 3, 7, 4, 5, 3, 6, 3, 5, 3, 5, 5, 6, 4, 2, 3, 6, 7, 5, 4, 4, 4, 3, 3, 5, 5, 3, 5, 4, 5, 4, 5, 3, 3, 3, 6, 4, 4, 5, 4, 3, 4, 3, 3, 6, 3, 7, 3, 3, 4, 6, 1, 5, 3, 3, 6, 4, 4, 5, 5, 5, 6, 5, 4, 5, 2, 3, 6, 5, 6, 6, 5, 3, 7, 5, 3, 3, 4, 7, 7, 5, 6, 5, 6, 6, 3, 6, 2, 5, 2, 5, 3, 4, 6, 4, 4, 6, 5, 2, 2, 7, 3, 3, 4, 6, 5, 6, 5, 4, 4, 3, 4, 4, 4, 4, 6, 4, 4, 4, 3, 4, 6, 4, 6, 5, 3, 4, 7, 3, 6, 5, 5, 5, 6, 5, 6, 5, 3, 5, 4, 3, 5, 6, 2, 4, 2, 4, 4, 2, 4, 5, 3, 6, 4, 5, 1, 6, 4, 3, 3, 2, 5, 6, 2, 6, 6, 4, 3, 5, 4, 5, 3, 5, 5, 6, 7, 3, 5, 4, 5, 6, 5, 3, 5, 5, 4, 7, 5, 4, 4, 6, 5, 3, 6, 5, 4, 4, 6, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 5, 7, 5, 5, 7, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 7, 7, 2, 1 6, 7, 5, 6, 2, 3, 6, 4, 3, 4, 6, 3, 4, 5, 6, 3, 5, 4, 8, 3, 4, 3, 3, 5, 5, 5, 5, 7, 3, 7, 5, 5, 2, 7, 3, 7, 4, 4, 4, 4, 2, 5, 4, 3, 5, 5, 3, 6, 2, 3, 2, 2, 6, 4, 5, 9, 0, 5, 3, 5, 5, 5, 4, 3, 4, 7, 4, 3, 3, 5, 4, 4, 2, 5, 5, 6, 5, 5, 4, 6, 1, 4, 5, 5, 5, 3, 5, 6, 4, 4, 2, 5, 4, 4, 8, 5, 3, 2, 3, 6, 6, 4, 4, 5, 3, 3, 7, 7, 3, 4, 5, 4, 3, 5, 3, 3, 6, 3, 4, 9, 5, 4, 6, 6, 5, 5, 7, 4, 3, 7, 5, 4, 5, 7, 4, 8, 3, 4, 3, 4, 2, 3, 6, 5, 4, 3, 6, 3, 5, 4, 5, 4, 5, 4, 4, 3, 7, 4, 5, 4, 6, 6, 6, 5, 3, 3, 5, 4, 4, 3, 4, 3, 4, 7, 5, 6, 5, 6, 5, 4, 7, 5, 3, 3, 5, 6, 5, 6, 3, 3, 5, 4, 6, 3, 7, 7, 4, 5, 6, 5, 5, 4, 5, 8, 3, 5, 5, 6, 2, 4, 2, 3, 6, 4, 7, 5, 2, 3, 4, 4, 4, 5, 4, 2, 5, 5, 5, 3, 4, 7, 6, 0, 3, 4, 4, 3, 5, 4, 6, 4, 4, 7, 1, 5, 5, 2, 5, 4, 3, 8, 6, 5, 6, 4, 2, 4, 1, 4, 5, 5, 5, 5, 3, 5, 3, 6, 5, 3, 2, 3, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 1, 4, 6, 6, 5, 5, 4, 5, 7, 5, 3, 5, 6, 6, 5, 6, 4, 4, 6, 6, 5, 3, 7, 6, 3, 6, 4, 3, 5, 4, 5, 4, 6, 5, 4, 0, 4, 5, 2, 4, 4, 6, 4, 3, 5, 4, 4, 4, 6, 3, 2, 5, 5, 3, 7, 7, 3, 6, 5, 4, 6, 4, 4, 6, 3, 3, 5, 5, 5, 5, 9, 4, 5, 4, 4, 3, 2, 2, 4, 4, 3, 6, 4, 4, 5, 5, 4, 6, 5, 5, 6, 2, 2, 5, 5, 4, 3, 3, 7, 2, 6, 6, 4, 3, 2, 2, 5, 5, 6, 3, 6, 2, 3, 5, 4, 2, 4, 1, 4, 6, 5, 5, 6, 6, 2, 3, 1, 5, 4, 5, 2, 3, 3, 5, 5, 6, 7, 5, 2, 7, 2, 4, 6, 5, 3, 3, 4, 7, 5, 6, 5, 4, 5, 4, 3, 4, 8, 6, 4, 5, 4, 6, 4, 2, 3, 3, 3, 6, 7, 5, 4, 5, 2, 2, 6, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 3, 2, 4, 6, 4, 5, 4, 5, 5, 3, 3, 2, 3, 6, 5, 5, 7, 2, 6, 4, 4, 6, 4, 3, 1 6, 4, 6, 4, 3, 3, 5, 3, 6, 5, 4, 5, 3, 3, 4, 6, 4, 3, 6, 6, 7, 6, 6, 3, 5, 4, 3, 7, 6, 3, 4, 4, 4, 5, 4, 5, 3, 4, 6, 6, 6, 3, 6, 5, 1, 4, 4, 4, 6, 3, 5, 3, 4, 4, 2, 6, 5, 3, 5, 5, 5, 3, 3, 4, 3, 6, 4, 6, 4, 4, 3, 5, 5, 5, 2, 6, 3, 5, 6, 4, 6, 6, 1, 4, 3, 5, 5, 3, 2, 7, 4, 5, 6, 3, 5, 7, 6, 8, 4, 5, 3, 4, 6, 5, 4, 7, 5, 3, 6, 5, 5, 6, 4, 5, 4, 5, 5, 5, 7, 5, 5, 5, 4, 4, 4, 6, 2, 5, 7, 5, 3, 4, 3, 5, 7, 3, 3, 4, 4, 4, 2, 3, 3, 3, 8, 5, 2, 6, 3, 3, 6, 4, 5, 4, 4, 4, 5, 4, 3, 6, 5, 6, 5, 4, 2, 4, 4, 3, 4, 4, 4, 5, 8, 6, 8, 3, 6, 4, 3, 5, 6, 4, 4, 6, 5, 4, 5, 4, 6, 2, 5, 6, 6, 4, 4, 5, 0, 4, 4, 3, 5, 6, 5, 5, 4, 2, 5, 3, 4, 8, 3, 5, 4, 7, 5, 3, 6, 2, 6, 3, 4, 5, 2, 5, 4, 6, 5, 5, 6, 7, 6, 4, 5, 5, 4, 3, 5, 5, 7, 5, 5, 5, 4, 3, 6, 6, 5, 2, 3, 3, 4, 5, 5, 2, 5, 7, 3, 6, 3, 4, 4, 6, 3, 3, 2, 5, 6, 4, 5, 3, 6, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 6, 5, 3, 2, 1, 4, 6, 3, 3, 4, 4, 5, 6, 4, 7, 6, 3, 4, 5, 6, 6, 7, 7, 4, 6, 7, 5, 3, 6, 3, 3, 4, 5, 4, 6, 7, 6, 5, 6, 3, 5, 4, 5, 6, 2, 7, 7, 6, 5, 2, 5, 6, 2, 4, 3, 5, 4, 5, 6, 5, 5, 3, 7, 3, 5, 5, 7, 1, 7, 7, 5, 2, 5, 6, 5, 6, 6, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 6, 5, 3, 6, 6, 6, 4, 4, 3, 5, 5, 3, 5, 4, 2, 2, 5, 5, 6, 4, 2, 5, 6, 6, 6, 6, 4, 3, 3, 3, 3, 1, 3, 6, 7, 4, 5, 8, 2, 5, 5, 4, 3, 6, 7, 4, 3, 5, 5, 4, 4, 6, 4, 5, 8, 4, 7, 4, 4, 5, 4, 5, 6, 3, 3, 5, 5, 3, 5, 4, 4, 2, 4, 5, 5, 5, 5, 4, 5, 3, 6, 5, 2, 3, 5, 6, 4, 6, 6, 3, 5, 4, 4, 6, 6, 4, 6, 4, 5, 4, 6, 3, 5, 5, 5, 5, 6, 5, 3, 3, 2, 6, 5, 2, 5, 4, 4, 3, 2, 4, 5, 5, 5, 3, 4, 2, 3, 1 3, 2, 5, 4, 6, 3, 6, 4, 0, 4, 3, 5, 5, 6, 5, 5, 4, 5, 5, 6, 5, 4, 6, 2, 3, 2, 4, 4, 5, 6, 5, 5, 3, 3, 7, 6, 5, 3, 5, 4, 6, 4, 3, 4, 5, 4, 2, 4, 6, 6, 4, 3, 4, 4, 5, 6, 7, 4, 4, 6, 5, 4, 2, 5, 7, 3, 6, 4, 6, 5, 5, 6, 3, 6, 4, 6, 1, 4, 5, 6, 1, 2, 3, 3, 8, 6, 5, 4, 5, 3, 4, 7, 7, 5, 4, 2, 4, 4, 6, 5, 7, 3, 5, 3, 5, 4, 8, 6, 4, 5, 5, 4, 4, 6, 5, 5, 2, 3, 4, 4, 3, 5, 5, 6, 3, 3, 4, 5, 5, 6, 4, 4, 5, 6, 3, 2, 2, 4, 5, 5, 2, 5, 4, 2, 5, 4, 6, 4, 5, 4, 0, 5, 5, 7, 6, 4, 6, 4, 6, 4, 3, 4, 4, 5, 4, 6, 6, 6, 6, 6, 4, 3, 6, 3, 5, 5, 4, 2, 5, 6, 4, 4, 3, 4, 5, 3, 7, 3, 5, 4, 5, 3, 4, 5, 5, 4, 5, 3, 6, 3, 5, 4, 4, 6, 5, 6, 3, 3, 4, 5, 3, 7, 4, 4, 3, 4, 4, 4, 2, 3, 4, 6, 5, 3, 5, 4, 8, 5, 4, 7, 5, 4, 6, 4, 6, 6, 7, 6, 4, 3, 4, 4, 3, 4, 3, 3, 5, 7, 4, 5, 6, 2, 3, 4, 4, 6, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 3, 4, 5, 6, 4, 4, 6, 4, 3, 7, 5, 4, 4, 4, 5, 4, 5, 7, 4, 4, 6, 3, 6, 2, 4, 4, 7, 4, 7, 4, 3, 3, 9, 5, 5, 6, 3, 6, 7, 6, 7, 3, 7, 2, 4, 6, 5, 3, 2, 6, 8, 4, 6, 4, 5, 6, 7, 3, 5, 4, 4, 7, 9, 6, 6, 6, 3, 6, 5, 5, 5, 7, 2, 4, 6, 4, 3, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 3, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 2, 4, 5, 4, 5, 6, 5, 3, 6, 4, 4, 6, 5, 5, 3, 4, 4, 6, 4, 4, 5, 7, 3, 7, 1, 5, 3, 3, 4, 6, 5, 5, 8, 3, 3, 3, 6, 4, 5, 2, 4, 5, 4, 5, 5, 6, 4, 4, 8, 1, 4, 4, 5, 4, 4, 6, 6, 3, 5, 3, 5, 4, 3, 6, 6, 3, 5, 1, 4, 2, 3, 1, 3, 5, 4, 5, 3, 2, 5, 3, 5, 5, 3, 6, 2, 6, 2, 4, 3, 2, 3, 6, 4, 2, 3, 5, 2, 3, 7, 5, 6, 4, 3, 4, 4, 4, 6, 4, 5, 3, 5, 4, 2, 4, 4, 2, 4, 7, 2, 2, 3, 5, 7, 5, 6, 6, 3, 4, 5, 3, -1 3, 5, 4, 3, 1, 4, 7, 4, 3, 5, 3, 5, 5, 5, 8, 5, 3, 6, 3, 4, 6, 3, 4, 4, 4, 3, 3, 1, 6, 1, 2, 5, 4, 4, 5, 3, 3, 3, 7, 3, 3, 4, 6, 4, 4, 5, 4, 5, 6, 3, 4, 4, 4, 3, 4, 7, 6, 5, 4, 5, 6, 3, 2, 1, 4, 5, 4, 5, 7, 5, 2, 4, 6, 4, 2, 6, 5, 3, 3, 4, 1, 4, 2, 6, 4, 6, 5, 4, 7, 4, 4, 4, 3, 5, 4, 3, 4, 3, 6, 7, 4, 6, 6, 5, 2, 5, 8, 5, 4, 6, 4, 5, 6, 6, 5, 1, 6, 3, 7, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 4, 4, 5, 5, 3, 8, 4, 6, 4, 1, 5, 4, 3, 4, 3, 7, 4, 5, 5, 4, 4, 6, 3, 5, 5, 9, 6, 5, 4, 4, 6, 6, 6, 5, 3, 5, 5, 4, 5, 5, 6, 5, 3, 4, 7, 7, 3, 7, 5, 4, 3, 7, 8, 7, 5, 5, 4, 4, 4, 3, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 6, 3, 6, 4, 4, 5, 4, 6, 5, 4, 0, 3, 6, 4, 5, 1, 1, 6, 6, 4, 3, 5, 4, 4, 6, 4, 3, 4, 6, 1, 3, 4, 6, 6, 6, 3, 5, 4, 5, 4, 6, 7, 2, 3, 2, 4, 2, 2, 6, 4, 5, 2, 5, 3, 4, 2, 4, 6, 7, 5, 3, 2, 7, 7, 4, 4, 6, 3, 3, 6, 4, 8, 4, 5, 4, 7, 5, 6, 7, 2, 3, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 5, 4, 5, 6, 3, 5, 1, 4, 5, 4, 4, 4, 3, 3, 2, 5, 6, 6, 3, 4, 4, 5, 2, 5, 4, 6, 4, 5, 5, 6, 5, 4, 8, 4, 3, 7, 6, 5, 5, 8, 1, 5, 4, 4, 4, 4, 3, 4, 5, 6, 4, 2, 5, 6, 5, 4, 0, 5, 5, 3, 3, 5, 3, 4, 5, 4, 4, 7, 2, 5, 4, 3, 4, 6, 3, 5, 6, 4, 3, 6, 5, 5, 3, 4, 3, 6, 5, 6, 7, 4, 6, 5, 5, 5, 6, 3, 3, 4, 5, 3, 6, 4, 6, 3, 5, 7, 3, 4, 3, 6, 4, 5, 2, 6, 3, 4, 7, 5, 5, 2, 4, 1, 5, 5, 4, 4, 4, 5, 5, 7, 4, 3, 5, 5, 3, 7, 2, 7, 6, 2, 3, 4, 3, 7, 6, 4, 4, 3, 7, 3, 6, 4, 6, 5, 4, 5, 5, 5, 6, 4, 3, 2, 6, 4, 4, 4, 2, 6, 5, 7, 5, 7, 6, 6, 3, 4, 5, 3, 2, 3, 3, 4, 6, 5, 5, 5, 3, 4, 4, 8, 5, 5, 3, 5, 4, 2, 4, 3, 4, 3, 2, 4, 4, 5, 5, 5, 2, 1 3, 5, 3, 6, 4, 2, 4, 4, 5, 2, 5, 3, 3, 2, 4, 4, 8, 6, 5, 3, 4, 3, 4, 4, 6, 5, 3, 6, 5, 2, 6, 6, 3, 5, 9, 4, 4, 4, 6, 6, 3, 5, 4, 4, 6, 5, 4, 4, 2, 4, 4, 6, 6, 6, 3, 7, 5, 6, 3, 2, 6, 5, 8, 7, 6, 3, 6, 3, 4, 5, 3, 6, 5, 6, 2, 6, 4, 7, 6, 3, 3, 5, 5, 5, 4, 2, 2, 6, 5, 4, 4, 3, 5, 2, 4, 4, 2, 4, 2, 6, 5, 3, 3, 4, 2, 3, 4, 3, 5, 5, 3, 2, 6, 7, 3, 6, 4, 5, 4, 4, 4, 5, 4, 7, 5, 5, 2, 6, 3, 4, 6, 5, 4, 3, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 1, 3, 9, 3, 5, 4, 7, 6, 5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 3, 3, 7, 6, 8, 3, 4, 6, 4, 6, 7, 5, 6, 5, 5, 3, 6, 1, 4, 6, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 6, 5, 2, 5, 3, 5, 5, 2, 2, 3, 6, 6, 3, 7, 5, 2, 3, 5, 1, 5, 5, 2, 5, 4, 4, 4, 6, 6, 5, 6, 4, 5, 5, 3, 3, 6, 4, 3, 3, 3, 3, 2, 6, 5, 3, 3, 4, 3, 4, 3, 6, 5, 4, 3, 1, 6, 7, 5, 3, 5, 4, 4, 5, 4, 5, 5, 5, 6, 4, 3, 7, 4, 3, 6, 4, 4, 4, 5, 5, 4, 5, 4, 7, 5, 5, 2, 6, 6, 5, 3, 5, 3, 5, 5, 3, 4, 6, 5, 8, 4, 4, 5, 7, 4, 6, 6, 3, 2, 7, 6, 8, 2, 4, 3, 4, 6, 4, 5, 3, 5, 6, 4, 4, 5, 5, 4, 7, 6, 4, 4, 5, 3, 7, 7, 4, 4, 3, 5, 5, 7, 3, 4, 5, 3, 4, 2, 6, 3, 3, 6, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 2, 5, 6, 3, 4, 2, 4, 5, 7, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 8, 6, 5, 4, 2, 2, 4, 3, 3, 4, 5, 2, 3, 3, 4, 4, 2, 3, 4, 8, 3, 5, 4, 9, 5, 4, 4, 2, 6, 3, 5, 1, 7, 5, 4, 2, 4, 5, 6, 6, 4, 4, 2, 4, 5, 4, 5, 1, 2, 4, 5, 6, 4, 6, 3, 3, 7, 6, 4, 6, 2, 2, 6, 6, 5, 5, 4, 5, 5, 5, 3, 3, 4, 6, 6, 5, 6, 5, 4, 5, 2, 5, 3, 7, 4, 1, 3, 3, 5, 4, 5, 6, 6, 5, 5, 2, 3, 5, 4, 4, 3, 3, 3, 5, 4, 5, 2, 3, 6, 4, 5, 7, 1, 6, 4, 2, 3, 4, 3, 5, 4, 5, 3, 8, 4, 4, -1 7, 1, 5, 6, 2, 4, 4, 4, 6, 4, 5, 4, 5, 5, 5, 8, 6, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 6, 5, 3, 3, 5, 5, 8, 3, 5, 4, 5, 4, 4, 5, 4, 3, 7, 4, 5, 2, 5, 4, 5, 6, 5, 2, 5, 6, 7, 4, 7, 4, 6, 5, 7, 5, 1, 4, 4, 3, 2, 4, 3, 4, 5, 6, 6, 3, 5, 5, 5, 3, 5, 1, 4, 4, 2, 6, 3, 5, 4, 7, 5, 4, 2, 2, 4, 2, 6, 8, 5, 4, 4, 3, 1, 4, 3, 4, 5, 3, 6, 5, 3, 5, 5, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 3, 4, 3, 6, 6, 4, 5, 5, 8, 5, 5, 6, 1, 5, 4, 6, 4, 4, 5, 5, 2, 8, 4, 5, 4, 4, 5, 4, 4, 8, 5, 7, 4, 4, 6, 3, 3, 5, 3, 4, 9, 5, 4, 2, 3, 3, 4, 4, 7, 7, 4, 3, 2, 2, 5, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 2, 1, 4, 2, 5, 4, 5, 3, 5, 3, 4, 3, 6, 4, 3, 3, 5, 3, 2, 5, 2, 7, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 3, 3, 7, 4, 5, 4, 5, 7, 4, 5, 5, 4, 3, 5, 5, 4, 7, 4, 4, 6, 4, 5, 5, 3, 5, 3, 6, 5, 3, 5, 9, 6, 8, 5, 4, 6, 7, 3, 6, 4, 6, 2, 6, 5, 2, 5, 2, 6, 6, 3, 2, 4, 7, 3, 2, 3, 4, 6, 5, 4, 7, 3, 4, 2, 4, 4, 6, 3, 5, 3, 3, 2, 8, 3, 4, 5, 4, 5, 4, 7, 6, 5, 2, 4, 5, 5, 7, 4, 4, 8, 7, 4, 4, 6, 4, 4, 4, 4, 5, 2, 6, 3, 4, 4, 4, 5, 5, 4, 6, 5, 4, 3, 5, 3, 5, 6, 4, 5, 2, 6, 4, 6, 5, 3, 4, 7, 4, 4, 2, 3, 4, 3, 4, 2, 4, 8, 4, 4, 3, 3, 5, 3, 7, 5, 6, 3, 5, 5, 2, 4, 4, 4, 4, 3, 2, 4, 3, 3, 2, 4, 2, 5, 3, 6, 4, 6, 4, 5, 4, 4, 6, 3, 7, 4, 5, 5, 6, 3, 3, 5, 3, 3, 4, 3, 1, 4, 4, 7, 4, 3, 6, 4, 1, 4, 6, 5, 5, 3, 7, 3, 4, 3, 4, 4, 4, 9, 2, 2, 6, 4, 6, 4, 6, 2, 4, 1, 3, 3, 3, 4, 4, 3, 5, 5, 5, 5, 6, 2, 4, 3, 5, 3, 6, 3, 6, 5, 5, 3, 4, 4, 6, 6, 5, 2, 4, 3, 4, 6, 4, 1, 4, 4, 4, 6, 7, 6, 2, 3, 4, 4, 3, 4, 7, 4, 4, 3, 5, 1, 6, 5, 1 6, 3, 7, 5, 4, 3, 6, 6, 4, 4, 3, 3, 5, 6, 6, 6, 4, 4, 6, 4, 7, 6, 3, 4, 6, 3, 3, 4, 5, 4, 6, 1, 3, 6, 6, 3, 3, 3, 4, 2, 4, 1, 6, 2, 3, 5, 5, 5, 1, 6, 1, 3, 3, 5, 4, 6, 4, 4, 4, 2, 7, 6, 2, 3, 2, 4, 4, 6, 2, 3, 3, 5, 3, 5, 3, 5, 4, 5, 3, 4, 3, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 7, 5, 5, 5, 6, 4, 6, 4, 5, 3, 5, 6, 4, 5, 2, 6, 5, 5, 6, 5, 5, 5, 7, 5, 6, 2, 4, 3, 5, 6, 3, 9, 4, 5, 5, 3, 2, 5, 5, 5, 3, 4, 7, 3, 6, 4, 5, 6, 3, 5, 5, 6, 4, 3, 7, 3, 4, 5, 5, 4, 7, 5, 4, 6, 5, 6, 3, 6, 4, 4, 3, 6, 4, 6, 4, 3, 3, 7, 4, 4, 2, 5, 4, 3, 2, 5, 4, 2, 6, 8, 7, 4, 6, 6, 4, 4, 4, 2, 4, 4, 7, 2, 5, 6, 6, 3, 6, 4, 5, 6, 6, 4, 3, 4, 6, 2, 5, 3, 6, 5, 5, 3, 4, 5, 2, 3, 6, 3, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 2, 8, 3, 4, 6, 3, 5, 4, 2, 5, 4, 2, 3, 4, 6, 4, 3, 4, 3, 3, 4, 6, 3, 4, 2, 4, 5, 3, 3, 4, 3, 0, 4, 5, 6, 5, 5, 3, 4, 4, 4, 3, 4, 4, 5, 6, 5, 4, 5, 6, 4, 3, 4, 5, 5, 3, 5, 5, 4, 7, 3, 5, 5, 5, 4, 6, 3, 6, 5, 4, 1, 2, 5, 6, 4, 2, 5, 3, 4, 4, 4, 5, 4, 3, 6, 6, 4, 6, 3, 2, 5, 4, 3, 5, 4, 1, 3, 5, 3, 2, 6, 3, 4, 2, 4, 5, 4, 2, 4, 4, 6, 5, 5, 4, 2, 5, 4, 4, 4, 4, 6, 6, 4, 5, 5, 3, 4, 6, 5, 4, 2, 6, 6, 4, 6, 3, 4, 6, 2, 5, 3, 0, 2, 7, 5, 5, 5, 4, 4, 5, 4, 6, 5, 6, 6, 6, 4, 0, 6, 5, 3, 8, 5, 4, 4, 6, 6, 7, 4, 4, 7, 4, 5, 5, 2, 1, 4, 5, 5, 6, 3, 5, 5, 6, 4, 1, 2, 4, 6, 4, 3, 4, 5, 4, 5, 4, 6, 6, 4, 6, 5, 4, 3, 8, 5, 5, 6, 4, 4, 4, 5, 4, 5, 5, 5, 6, 6, 5, 3, 3, 2, 3, 6, 7, 3, 6, 5, 5, 5, 4, 5, 6, 4, 5, 4, 4, 3, 5, 6, 6, 3, 5, 5, 7, 5, 7, 4, 7, 4, 4, 3, 2, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 3, -1 5, 4, 6, 5, 3, 2, 6, 3, 5, 6, 3, 5, 6, 3, 6, 5, 6, 4, 3, 5, 6, 4, 7, 6, 6, 5, 4, 5, 5, 2, 3, 3, 6, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 2, 4, 4, 3, 4, 6, 6, 6, 4, 6, 4, 5, 6, 4, 3, 6, 3, 6, 4, 4, 5, 4, 4, 3, 5, 6, 6, 5, 7, 5, 5, 6, 4, 3, 5, 5, 5, 5, 6, 5, 3, 9, 2, 9, 4, 4, 5, 7, 5, 3, 6, 6, 6, 3, 4, 6, 1, 5, 2, 1, 2, 6, 5, 6, 6, 4, 5, 4, 4, 5, 3, 6, 4, 1, 3, 4, 4, 5, 4, 3, 3, 3, 8, 3, 5, 6, 6, 4, 5, 7, 3, 8, 4, 6, 0, 7, 7, 3, 4, 2, 4, 3, 6, 2, 5, 5, 5, 4, 3, 6, 5, 4, 7, 6, 5, 4, 6, 3, 5, 7, 3, 3, 5, 3, 5, 2, 5, 4, 3, 6, 2, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 8, 3, 4, 5, 5, 3, 8, 3, 5, 3, 4, 9, 5, 7, 6, 4, 4, 6, 3, 5, 5, 4, 5, 6, 5, 5, 4, 6, 3, 3, 7, 5, 7, 3, 6, 4, 4, 2, 6, 4, 4, 4, 5, 5, 3, 2, 4, 4, 7, 4, 3, 6, 4, 5, 5, 5, 7, 7, 2, 8, 7, 4, 4, 5, 5, 4, 8, 4, 4, 2, 5, 6, 3, 5, 5, 7, 4, 6, 6, 4, 6, 6, 4, 2, 3, 6, 7, 3, 4, 1, 4, 5, 4, 5, 3, 4, 3, 4, 3, 6, 5, 4, 5, 4, 5, 6, 3, 6, 4, 4, 7, 4, 6, 4, 5, 9, 5, 5, 5, 5, 5, 4, 4, 4, 4, 7, 4, 6, 3, 3, 3, 3, 3, 4, 5, 6, 5, 4, 5, 5, 6, 4, 5, 3, 4, 4, 6, 4, 4, 3, 4, 6, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 7, 5, 5, 7, 3, 4, 3, 3, 6, 6, 4, 4, 4, 6, 5, 6, 5, 6, 8, 8, 2, 4, 5, 2, 5, 4, 4, 4, 5, 4, 7, 6, 3, 2, 5, 8, 4, 6, 5, 3, 3, 4, 4, 5, 7, 5, 4, 5, 6, 4, 6, 5, 3, 6, 7, 6, 7, 5, 2, 6, 5, 5, 4, 5, 4, 3, 7, 3, 4, 2, 7, 3, 3, 3, 6, 4, 7, 4, 7, 5, 2, 5, 4, 3, 4, 3, 5, 5, 6, 5, 7, 3, 5, 2, 6, 3, 6, 5, 1, 7, 7, 5, 2, 4, 5, 6, 4, 6, 6, 3, 5, 4, 3, 5, 4, 6, 6, 6, 2, 4, 7, 6, 4, 3, 5, 2, 5, 4, 7, 7, 3, 5, 3, 4, 6, 4, 8, 7, 4, 4, 5, 4, 2, 5, 5, 4, 3, 5, 6, 5, 4, 6, 2, -1 3, 5, 5, 5, 2, 6, 4, 4, 3, 4, 4, 5, 4, 6, 7, 2, 2, 4, 5, 3, 5, 8, 4, 4, 6, 5, 4, 6, 5, 3, 5, 4, 3, 4, 3, 5, 4, 5, 6, 2, 8, 4, 4, 8, 3, 5, 4, 3, 5, 6, 4, 4, 6, 3, 5, 5, 5, 7, 4, 4, 5, 5, 3, 2, 1, 3, 6, 4, 5, 5, 7, 6, 5, 4, 5, 3, 5, 2, 8, 4, 4, 5, 1, 5, 3, 4, 4, 4, 5, 3, 4, 2, 3, 7, 3, 3, 4, 2, 6, 5, 2, 4, 3, 3, 4, 6, 3, 6, 2, 5, 4, 5, 4, 4, 5, 6, 4, 2, 6, 3, 5, 4, 5, 6, 4, 7, 4, 4, 6, 3, 5, 7, 3, 5, 5, 4, 4, 3, 4, 5, 2, 4, 4, 4, 6, 5, 4, 8, 3, 4, 6, 6, 6, 2, 5, 6, 7, 4, 4, 3, 4, 7, 5, 8, 5, 3, 5, 4, 4, 4, 6, 6, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 1, 4, 3, 4, 6, 3, 6, 7, 4, 3, 6, 4, 5, 5, 5, 4, 4, 3, 5, 7, 6, 3, 4, 6, 4, 3, 1, 6, 5, 2, 4, 3, 8, 5, 5, 2, 4, 7, 4, 4, 5, 6, 6, 3, 5, 5, 4, 5, 2, 4, 5, 4, 2, 3, 3, 8, 5, 3, 3, 7, 5, 7, 4, 5, 5, 3, 2, 4, 4, 5, 6, 5, 4, 5, 4, 4, 7, 4, 5, 4, 7, 5, 4, 2, 5, 4, 6, 5, 4, 4, 5, 3, 2, 5, 7, 6, 6, 4, 3, 2, 3, 3, 6, 4, 5, 2, 4, 7, 6, 5, 4, 7, 6, 4, 6, 4, 7, 6, 6, 6, 5, 4, 3, 8, 6, 4, 5, 5, 7, 5, 6, 4, 4, 4, 4, 2, 5, 4, 5, 8, 3, 3, 5, 2, 6, 4, 2, 3, 2, 3, 2, 4, 5, 5, 1, 3, 4, 4, 3, 4, 3, 4, 6, 3, 1, 3, 3, 4, 7, 2, 3, 5, 4, 7, 2, 3, 5, 5, 1, 5, 4, 5, 4, 6, 5, 5, 2, 4, 5, 5, 5, 3, 5, 3, 2, 5, 5, 5, 3, 6, 4, 3, 3, 4, 5, 4, 4, 7, 2, 4, 7, 5, 2, 3, 6, 5, 5, 3, 3, 3, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 6, 2, 2, 4, 5, 4, 4, 7, 4, 3, 7, 5, 7, 3, 6, 3, 4, 4, 5, 4, 2, 5, 6, 5, 6, 6, 1, 3, 4, 5, 5, 5, 5, 4, 2, 5, 4, 7, 4, 4, 4, 2, 3, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 3, 4, 3, 4, 4, 2, 4, 4, 5, 7, 6, 4, 5, 7, 5, 3, 6, 6, 2, 4, 3, 5, 4, 2, 3, 5, 5, 3, 5, 4, 3, 6, 4, 4, -1 5, 3, 5, 6, 2, 3, 6, 4, 5, 3, 3, 5, 6, 4, 5, 8, 7, 2, 4, 4, 7, 5, 7, 5, 6, 5, 4, 4, 7, 3, 3, 3, 5, 4, 5, 5, 4, 5, 6, 4, 5, 7, 4, 5, 5, 6, 3, 4, 3, 4, 6, 4, 3, 3, 6, 4, 6, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 7, 7, 4, 4, 3, 3, 4, 4, 5, 3, 4, 2, 2, 1, 4, 4, 5, 7, 4, 5, 4, 6, 7, 4, 2, 5, 4, 3, 4, 3, 6, 5, 5, 4, 7, 8, 4, 6, 6, 5, 4, 5, 5, 2, 5, 6, 7, 8, 5, 4, 3, 8, 5, 6, 7, 5, 5, 5, 7, 4, 2, 6, 4, 4, 2, 0, 4, 4, 4, 4, 4, 6, 3, 3, 3, 4, 4, 4, 7, 6, 3, 7, 1, 4, 3, 6, 4, 6, 6, 7, 5, 3, 5, 3, 4, 6, 5, 3, 4, 4, 5, 4, 3, 4, 4, 6, 3, 5, 4, 5, 2, 5, 5, 5, 2, 4, 4, 7, 4, 5, 7, 4, 5, 6, 3, 4, 2, 3, 3, 6, 3, 5, 4, 9, 4, 0, 6, 3, 5, 7, 4, 2, 4, 5, 4, 2, 6, 6, 5, 6, 5, 4, 6, 5, 4, 6, 3, 6, 6, 6, 4, 3, 5, 4, 4, 4, 4, 2, 6, 5, 2, 3, 5, 7, 4, 6, 2, 6, 6, 6, 4, 4, 4, 2, 5, 3, 5, 5, 4, 4, 5, 6, 3, 4, 3, 5, 5, 3, 5, 5, 5, 3, 3, 4, 2, 5, 5, 7, 6, 4, 6, 8, 2, 2, 4, 4, 2, 4, 6, 7, 4, 6, 6, 7, 5, 5, 3, 5, 3, 6, 5, 3, 4, 5, 4, 6, 5, 7, 6, 3, 4, 5, 5, 3, 3, 3, 5, 4, 2, 3, 5, 7, 5, 7, 4, 2, 6, 9, 6, 6, 3, 5, 4, 3, 2, 2, 5, 6, 3, 3, 3, 4, 2, 2, 5, 4, 4, 5, 5, 4, 7, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 6, 5, 6, 7, 3, 4, 3, 4, 4, 4, 7, 5, 6, 5, 4, 4, 4, 4, 3, 6, 3, 3, 4, 4, 5, 5, 7, 3, 4, 4, 5, 4, 2, 4, 3, 6, 4, 3, 5, 5, 5, 2, 5, 6, 5, 3, 7, 4, 5, 6, 2, 2, 7, 5, 5, 4, 4, 6, 2, 3, 4, 5, 7, 7, 3, 5, 3, 6, 6, 3, 4, 5, 3, 4, 6, 3, 3, 3, 7, 6, 5, 5, 5, 8, 6, 6, 5, 4, 5, 7, 6, 7, 6, 6, 2, 3, 4, 5, 7, 6, 3, 1, 3, 6, 3, 2, 5, 3, 6, 3, 4, 4, 4, 6, 6, 3, 5, 5, 5, 3, 4, 6, 3, 3, 3, 4, 6, 5, 4, 4, 5, 4, 3, 5, 6, 5, 4, 2, 6, 5, 1 4, 5, 6, 5, 3, 4, 2, 5, 4, 4, 4, 5, 5, 2, 6, 4, 3, 5, 3, 5, 5, 4, 5, 7, 7, 4, 0, 2, 7, 3, 4, 5, 4, 7, 4, 6, 5, 4, 4, 3, 5, 2, 3, 4, 4, 7, 1, 3, 8, 4, 2, 4, 2, 5, 5, 5, 5, 3, 6, 6, 6, 6, 4, 4, 4, 4, 5, 4, 4, 6, 6, 4, 5, 3, 5, 5, 3, 2, 5, 6, 3, 4, 4, 4, 6, 3, 5, 4, 4, 3, 4, 5, 8, 3, 4, 3, 6, 4, 4, 5, 3, 5, 2, 2, 3, 7, 3, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 2, 3, 5, 5, 3, 4, 6, 5, 3, 4, 4, 8, 4, 5, 2, 2, 7, 6, 4, 4, 5, 5, 4, 6, 2, 3, 5, 3, 5, 4, 3, 4, 5, 2, 6, 6, 5, 3, 2, 6, 5, 3, 6, 5, 4, 7, 8, 5, 5, 8, 4, 2, 6, 4, 6, 5, 6, 4, 5, 5, 6, 5, 5, 6, 1, 4, 2, 1, 5, 7, 5, 6, 3, 5, 3, 5, 5, 5, 3, 3, 4, 3, 2, 5, 5, 6, 7, 3, 4, 3, 4, 6, 5, 5, 4, 3, 3, 5, 7, 4, 4, 5, 4, 6, 5, 4, 2, 4, 6, 6, 5, 6, 1, 5, 3, 4, 3, 6, 4, 3, 5, 6, 5, 6, 5, 5, 4, 3, 4, 3, 6, 5, 6, 4, 4, 2, 8, 4, 1, 3, 4, 4, 7, 5, 3, 5, 5, 3, 3, 6, 4, 5, 3, 4, 7, 6, 2, 5, 4, 4, 5, 2, 6, 4, 4, 6, 3, 5, 5, 5, 6, 5, 3, 6, 7, 3, 6, 4, 5, 3, 2, 5, 6, 5, 6, 6, 5, 4, 5, 5, 5, 4, 5, 6, 3, 4, 6, 5, 4, 7, 7, 8, 6, 3, 6, 5, 5, 4, 1, 4, 1, 3, 5, 7, 3, 5, 7, 4, 3, 4, 3, 3, 7, 5, 6, 4, 7, 4, 6, 6, 3, 3, 6, 2, 6, 4, 5, 6, 4, 5, 6, 5, 7, 6, 5, 4, 4, 4, 3, 7, 4, 4, 6, 4, 6, 4, 4, 5, 4, 4, 4, 8, 5, 3, 2, 4, 5, 7, 7, 4, 2, 3, 4, 3, 3, 4, 4, 3, 6, 5, 6, 7, 3, 3, 3, 6, 5, 3, 6, 4, 7, 5, 7, 5, 4, 5, 3, 4, 4, 3, 2, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 5, 7, 3, 3, 2, 5, 4, 4, 3, 4, 6, 5, 2, 5, 3, 4, 2, 6, 3, 6, 3, 6, 5, 7, 3, 5, 3, 4, 5, 3, 3, 3, 6, 2, 3, 7, 5, 4, 3, 4, 4, 5, 3, 3, 3, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 8, 5, 6, 2, 2, 6, 5, 2, 6, 5, 4, 3, 3, 5, 4, 5, 1 2, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 3, 7, 4, 7, 8, 4, 5, 5, 3, 5, 4, 2, 5, 3, 5, 4, 2, 8, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 2, 3, 4, 3, 5, 5, 4, 4, 2, 3, 7, 4, 4, 4, 3, 4, 6, 3, 3, 5, 4, 5, 3, 5, 4, 6, 4, 6, 5, 5, 5, 2, 4, 6, 4, 6, 5, 6, 4, 5, 5, 6, 2, 4, 3, 4, 4, 5, 4, 5, 4, 6, 5, 8, 3, 3, 2, 6, 4, 5, 5, 7, 6, 5, 5, 5, 5, 4, 2, 6, 3, 4, 4, 6, 5, 3, 4, 6, 4, 8, 3, 6, 5, 5, 3, 7, 4, 9, 5, 4, 6, 4, 5, 5, 4, 4, 5, 5, 2, 5, 4, 1, 1, 4, 2, 8, 5, 3, 7, 7, 3, 3, 4, 3, 5, 2, 4, 5, 5, 4, 4, 5, 4, 7, 4, 6, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 7, 2, 5, 5, 5, 8, 7, 6, 5, 4, 3, 6, 4, 3, 4, 3, 6, 6, 6, 3, 6, 4, 6, 6, 4, 4, 4, 7, 4, 7, 5, 5, 3, 5, 3, 2, 4, 4, 3, 5, 4, 4, 4, 2, 3, 6, 7, 8, 3, 1, 4, 2, 5, 3, 7, 3, 5, 4, 5, 7, 4, 6, 5, 4, 5, 4, 4, 4, 6, 5, 6, 4, 5, 4, 5, 4, 6, 7, 3, 5, 8, 4, 5, 3, 2, 5, 3, 3, 3, 7, 5, 6, 6, 2, 5, 4, 4, 6, 5, 5, 2, 5, 5, 6, 5, 4, 3, 5, 4, 5, 5, 2, 6, 5, 2, 5, 4, 5, 2, 4, 9, 3, 4, 3, 7, 6, 4, 7, 7, 5, 3, 4, 4, 5, 3, 8, 3, 8, 8, 7, 5, 1, 3, 5, 3, 5, 1, 5, 6, 4, 4, 5, 6, 4, 5, 3, 6, 5, 4, 4, 4, 3, 4, 7, 7, 5, 4, 5, 3, 6, 6, 2, 6, 5, 5, 5, 7, 2, 4, 6, 5, 5, 6, 4, 4, 2, 2, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 2, 6, 7, 2, 2, 4, 6, 5, 4, 6, 2, 6, 7, 5, 2, 2, 2, 5, 3, 4, 4, 2, 3, 4, 8, 4, 3, 3, 7, 5, 4, 6, 6, 3, 5, 3, 5, 3, 8, 2, 2, 6, 4, 3, 4, 7, 5, 3, 7, 3, 4, 4, 8, 5, 4, 3, 5, 5, 8, 4, 4, 5, 5, 6, 4, 4, 5, 6, 5, 3, 4, 4, 5, 7, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 6, 4, 6, 4, 4, 5, 3, 5, 2, 4, 6, 5, 4, 6, 4, 3, 5, 5, 2, 5, 3, 7, 6, 3, 4, 4, 4, 4, 4, 6, 3, 3, 4, 6, 4, 4, 3, 1 1, 4, 5, 4, 4, 8, 2, 3, 5, 3, 2, 2, 5, 2, 4, 7, 2, 5, 2, 4, 6, 8, 3, 5, 3, 5, 5, 6, 3, 3, 4, 5, 4, 5, 4, 6, 2, 4, 5, 3, 4, 5, 2, 2, 6, 8, 1, 4, 7, 4, 4, 7, 6, 4, 5, 6, 5, 5, 5, 6, 4, 4, 3, 1, 4, 3, 5, 4, 4, 5, 4, 3, 3, 2, 3, 5, 3, 4, 6, 2, 5, 2, 6, 4, 2, 6, 5, 4, 5, 5, 4, 3, 5, 7, 6, 5, 4, 6, 7, 7, 4, 6, 4, 4, 4, 5, 4, 8, 1, 1, 2, 6, 5, 6, 4, 6, 4, 4, 5, 4, 4, 4, 6, 5, 6, 7, 3, 6, 5, 4, 3, 4, 3, 2, 4, 6, 4, 6, 2, 4, 4, 7, 4, 5, 3, 4, 4, 4, 3, 6, 6, 1, 6, 2, 3, 3, 5, 4, 5, 5, 5, 5, 6, 1, 3, 5, 5, 5, 4, 5, 6, 6, 4, 2, 8, 4, 6, 4, 4, 4, 2, 2, 5, 6, 4, 4, 7, 8, 6, 6, 6, 5, 6, 4, 6, 3, 5, 5, 6, 1, 3, 9, 5, 6, 6, 5, 3, 4, 3, 6, 3, 6, 5, 4, 2, 5, 6, 4, 5, 5, 2, 3, 4, 7, 4, 5, 5, 5, 6, 7, 3, 4, 5, 5, 3, 5, 3, 4, 5, 6, 4, 6, 2, 4, 5, 4, 6, 4, 6, 5, 5, 7, 5, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 2, 4, 5, 3, 5, 2, 6, 4, 7, 6, 3, 5, 4, 7, 5, 3, 6, 2, 6, 3, 3, 6, 5, 7, 1, 4, 3, 6, 4, 4, 6, 3, 5, 3, 6, 5, 4, 6, 5, 7, 3, 4, 4, 8, 6, 5, 6, 5, 4, 6, 2, 4, 2, 3, 3, 4, 2, 4, 4, 4, 6, 2, 3, 1, 6, 2, 3, 3, 2, 4, 1, 5, 4, 4, 6, 6, 5, 6, 3, 5, 4, 5, 3, 5, 4, 5, 7, 4, 4, 7, 4, 0, 3, 4, 1, 6, 4, 5, 3, 5, 4, 4, 7, 8, 7, 3, 5, 5, 5, 5, 5, 2, 4, 4, 8, 5, 5, 6, 5, 7, 4, 3, 5, 2, 5, 3, 5, 3, 4, 3, 4, 7, 5, 3, 4, 3, 3, 2, 4, 4, 7, 6, 6, 5, 6, 5, 3, 3, 3, 6, 3, 5, 5, 6, 3, 4, 6, 5, 4, 4, 1, 8, 4, 6, 5, 3, 5, 4, 5, 3, 6, 5, 3, 7, 5, 4, 6, 5, 6, 5, 3, 2, 6, 3, 4, 6, 4, 3, 5, 4, 4, 5, 7, 6, 4, 3, 3, 2, 3, 5, 6, 3, 3, 5, 3, 4, 4, 3, 5, 1, 3, 5, 6, 4, 5, 4, 7, 5, 5, 3, 4, 2, 5, 5, 3, 5, 4, 4, 6, 3, 4, 3, 5, 3, 6, 4, -1 2, 1, 6, 2, 1, 4, 8, 2, 6, 5, 6, 3, 5, 4, 5, 6, 6, 5, 4, 6, 6, 3, 6, 5, 5, 4, 2, 5, 5, 3, 5, 5, 2, 3, 6, 5, 5, 4, 3, 5, 6, 4, 4, 6, 3, 3, 4, 3, 5, 4, 5, 4, 6, 2, 7, 5, 6, 5, 2, 1, 5, 3, 5, 3, 5, 4, 5, 5, 7, 6, 1, 6, 3, 3, 5, 5, 4, 6, 2, 6, 7, 5, 3, 3, 5, 4, 3, 3, 4, 5, 4, 8, 3, 7, 5, 5, 6, 5, 6, 6, 6, 3, 2, 4, 5, 6, 3, 4, 6, 6, 6, 5, 5, 5, 3, 5, 4, 4, 6, 6, 5, 5, 5, 6, 3, 5, 6, 5, 6, 5, 2, 5, 6, 4, 5, 5, 4, 4, 5, 3, 6, 6, 4, 3, 5, 6, 5, 5, 5, 5, 6, 9, 6, 6, 3, 5, 5, 4, 4, 4, 0, 4, 3, 6, 3, 5, 3, 4, 1, 5, 6, 3, 4, 6, 4, 7, 6, 6, 3, 2, 6, 2, 4, 5, 4, 5, 4, 5, 8, 6, 6, 5, 3, 7, 5, 4, 6, 4, 4, 2, 6, 3, 4, 6, 3, 3, 7, 6, 2, 7, 2, 3, 5, 6, 6, 5, 4, 3, 4, 6, 5, 3, 5, 4, 6, 4, 5, 6, 4, 4, 5, 4, 5, 6, 3, 4, 4, 6, 4, 3, 3, 4, 3, 4, 5, 3, 6, 3, 4, 7, 5, 6, 5, 4, 6, 4, 3, 5, 5, 4, 4, 4, 4, 5, 2, 4, 4, 2, 3, 5, 3, 6, 6, 4, 7, 4, 7, 4, 6, 3, 5, 6, 6, 2, 4, 5, 5, 5, 3, 6, 6, 5, 4, 4, 6, 4, 4, 2, 6, 4, 4, 4, 6, 3, 4, 4, 5, 7, 6, 5, 7, 6, 2, 6, 2, 4, 7, 4, 5, 6, 4, 5, 3, 3, 4, 3, 6, 5, 5, 5, 6, 4, 4, 4, 4, 3, 4, 5, 3, 6, 4, 4, 3, 5, 5, 6, 2, 6, 5, 4, 7, 5, 5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 6, 6, 0, 3, 5, 3, 0, 4, 3, 3, 5, 5, 7, 5, 4, 6, 4, 5, 3, 6, 5, 4, 4, 6, 4, 2, 4, 3, 7, 2, 4, 4, 5, 4, 2, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 2, 3, 6, 5, 8, 2, 5, 4, 2, 4, 7, 3, 5, 5, 5, 7, 5, 7, 6, 4, 3, 6, 5, 7, 3, 3, 6, 5, 6, 5, 3, 4, 7, 5, 4, 4, 5, 4, 7, 4, 3, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 2, 6, 3, 4, 2, 4, 5, 4, 3, 3, 5, 3, 6, 4, 4, 5, 4, 4, 7, 5, 4, 6, 4, 5, 3, 6, 7, 7, 5, 5, 6, 3, 7, 1, -1 4, 2, 5, 0, 5, 7, 5, 5, 4, 5, 6, 6, 4, 9, 5, 2, 5, 5, 5, 4, 5, 3, 3, 3, 3, 5, 5, 3, 4, 3, 5, 5, 5, 4, 6, 6, 4, 4, 4, 4, 2, 5, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 1, 3, 4, 4, 4, 4, 3, 3, 4, 1, 3, 4, 5, 5, 5, 7, 8, 5, 5, 5, 2, 5, 5, 3, 5, 2, 4, 3, 4, 3, 2, 5, 3, 3, 5, 5, 4, 9, 4, 5, 4, 4, 5, 7, 2, 5, 4, 3, 6, 6, 1, 4, 2, 4, 4, 0, 5, 4, 3, 6, 5, 5, 3, 4, 3, 7, 6, 1, 3, 7, 4, 3, 4, 5, 3, 4, 4, 6, 6, 4, 4, 5, 6, 4, 7, 4, 7, 4, 4, 3, 2, 3, 3, 2, 0, 3, 5, 6, 5, 2, 7, 3, 4, 6, 6, 5, 5, 4, 3, 3, 6, 2, 5, 5, 8, 0, 3, 6, 5, 2, 5, 4, 7, 6, 3, 8, 3, 2, 7, 4, 3, 6, 3, 4, 6, 4, 5, 4, 4, 2, 6, 0, 3, 2, 1, 4, 6, 3, 4, 6, 3, 4, 5, 4, 5, 6, 3, 3, 3, 5, 5, 5, 4, 4, 6, 3, 5, 7, 6, 5, 6, 4, 4, 7, 5, 4, 4, 3, 6, 5, 5, 4, 4, 7, 5, 4, 4, 3, 3, 6, 3, 3, 4, 6, 5, 4, 6, 7, 6, 5, 5, 4, 4, 2, 4, 3, 3, 6, 6, 3, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 5, 2, 6, 5, 2, 5, 5, 6, 3, 3, 3, 3, 4, 3, 3, 3, 5, 6, 7, 3, 4, 4, 6, 3, 6, 3, 5, 4, 7, 8, 6, 2, 4, 5, 5, 4, 2, 7, 4, 8, 4, 3, 6, 7, 5, 4, 4, 6, 5, 6, 5, 6, 3, 3, 4, 3, 4, 4, 4, 6, 2, 4, 6, 2, 4, 4, 5, 5, 3, 3, 3, 3, 5, 3, 2, 4, 5, 3, 7, 4, 5, 4, 4, 3, 3, 3, 6, 4, 2, 8, 5, 4, 6, 5, 3, 6, 2, 6, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 4, 2, 5, 4, 4, 6, 3, 6, 5, 4, 4, 5, 4, 3, 3, 7, 1, 4, 3, 6, 3, 4, 6, 2, 3, 3, 6, 3, 2, 6, 4, 4, 5, 5, 4, 2, 4, 5, 5, 3, 6, 6, 3, 4, 5, 3, 3, 4, 3, 3, 4, 2, 6, 3, 4, 4, 4, 4, 4, 3, 6, 2, 4, 6, 5, 5, 4, 6, 3, 7, 4, 4, 5, 3, 5, 6, 5, 3, 4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 7, 2, 6, 4, 4, 6, 6, 5, 5, 3, 6, 5, 7, 4, 5, 1, 3, 4, 1, 4, 5, 6, 5, 4, 2, 4, 1, 5, 8, 4, 3, -1 2, 3, 4, 3, 6, 4, 5, 4, 7, 2, 5, 5, 6, 4, 6, 4, 3, 7, 8, 4, 8, 3, 3, 6, 4, 3, 4, 2, 3, 5, 4, 5, 4, 5, 5, 7, 4, 5, 4, 4, 6, 4, 4, 3, 5, 3, 4, 4, 5, 4, 6, 4, 6, 3, 5, 4, 5, 5, 4, 4, 4, 3, 2, 4, 5, 4, 3, 5, 5, 3, 6, 4, 6, 5, 5, 6, 2, 4, 4, 6, 5, 2, 5, 3, 5, 6, 2, 5, 4, 3, 4, 3, 0, 3, 4, 3, 3, 4, 4, 6, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 5, 6, 5, 4, 4, 4, 6, 5, 3, 6, 1, 4, 4, 4, 3, 6, 4, 6, 5, 4, 4, 5, 5, 7, 4, 3, 4, 5, 3, 4, 4, 3, 5, 2, 5, 4, 3, 4, 4, 6, 4, 3, 5, 4, 5, 4, 5, 4, 4, 2, 5, 3, 4, 5, 4, 5, 5, 4, 2, 5, 0, 5, 5, 4, 4, 4, 6, 5, 7, 5, 5, 2, 1, 5, 5, 1, 5, 2, 7, 5, 6, 5, 4, 5, 6, 5, 4, 5, 3, 1, 7, 6, 7, 6, 3, 5, 4, 4, 6, 3, 1, 4, 5, 5, 5, 6, 3, 4, 2, 5, 6, 6, 5, 2, 4, 5, 6, 3, 6, 4, 4, 4, 2, 5, 3, 5, 5, 7, 6, 4, 5, 2, 2, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 6, 3, 5, 5, 4, 5, 5, 4, 8, 4, 4, 4, 8, 3, 4, 3, 4, 4, 6, 4, 3, 4, 2, 5, 7, 8, 3, 4, 6, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 2, 5, 2, 2, 4, 5, 4, 6, 3, 4, 5, 5, 2, 8, 4, 6, 6, 7, 3, 5, 2, 4, 3, 5, 3, 3, 9, 4, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 5, 1, 4, 5, 4, 3, 6, 2, 4, 7, 3, 7, 5, 4, 3, 4, 6, 4, 7, 3, 4, 6, 6, 5, 5, 5, 5, 3, 6, 7, 3, 5, 3, 5, 5, 3, 5, 3, 5, 3, 5, 4, 3, 6, 5, 4, 4, 5, 5, 7, 4, 6, 6, 5, 4, 5, 5, 5, 5, 6, 4, 4, 2, 6, 4, 2, 4, 5, 6, 5, 6, 4, 5, 0, 6, 2, 5, 3, 4, 4, 2, 6, 3, 2, 5, 5, 4, 4, 5, 4, 7, 4, 3, 5, 4, 3, 4, 5, 7, 4, 4, 4, 3, 4, 2, 4, 6, 5, 5, 4, 8, 5, 1, 7, 3, 4, 3, 2, 6, 2, 5, 7, 3, 2, 3, 5, 6, 4, 5, 4, 7, 4, 7, 5, 7, 3, 4, 3, 5, 4, 9, 4, 2, 1, 8, 4, 7, 3, 3, 2, 4, 5, 2, 3, 4, 5, 4, 5, 3, 5, 6, 7, 7, 7, 5, 3, 3, 3, 1 2, 4, 4, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 7, 6, 5, 6, 5, 2, 3, 7, 4, 4, 7, 3, 3, 4, 4, 2, 5, 6, 4, 3, 4, 5, 3, 5, 2, 3, 4, 3, 4, 5, 5, 2, 5, 4, 4, 6, 5, 8, 3, 4, 4, 5, 5, 3, 4, 3, 6, 6, 4, 4, 3, 6, 4, 4, 5, 5, 4, 5, 5, 3, 3, 4, 4, 5, 2, 6, 5, 5, 5, 3, 2, 6, 0, 4, 4, 3, 3, 4, 3, 5, 3, 4, 2, 2, 4, 4, 4, 3, 2, 6, 5, 4, 4, 9, 3, 6, 5, 3, 7, 5, 5, 5, 6, 6, 6, 7, 6, 4, 6, 2, 8, 7, 4, 3, 7, 5, 5, 2, 5, 8, 7, 6, 2, 6, 0, 4, 5, 7, 5, 6, 3, 4, 4, 5, 5, 4, 5, 6, 4, 6, 5, 6, 3, 4, 3, 6, 3, 4, 3, 2, 4, 3, 5, 4, 5, 3, 4, 5, 3, 3, 3, 5, 5, 1, 5, 4, 1, 4, 4, 3, 5, 8, 2, 4, 5, 2, 5, 5, 3, 3, 3, 4, 7, 4, 3, 3, 5, 4, 5, 4, 7, 4, 6, 5, 6, 4, 4, 6, 4, 6, 6, 5, 4, 7, 6, 7, 4, 5, 6, 2, 7, 5, 7, 5, 7, 4, 3, 4, 4, 7, 7, 4, 5, 7, 5, 5, 4, 4, 4, 4, 5, 3, 6, 7, 2, 4, 2, 5, 8, 5, 4, 5, 6, 7, 4, 6, 4, 5, 4, 6, 4, 3, 3, 5, 6, 3, 3, 3, 4, 7, 3, 3, 4, 4, 3, 3, 3, 5, 5, 3, 4, 4, 6, 5, 5, 5, 6, 6, 4, 3, 4, 5, 2, 5, 5, 5, 6, 4, 8, 6, 5, 4, 5, 4, 6, 1, 7, 3, 5, 1, 4, 6, 1, 4, 0, 2, 8, 5, 7, 3, 3, 4, 6, 8, 3, 4, 4, 4, 3, 4, 4, 6, 4, 5, 6, 5, 4, 5, 4, 5, 5, 3, 5, 3, 5, 4, 4, 6, 4, 5, 5, 3, 5, 4, 4, 6, 3, 4, 6, 3, 6, 1, 5, 9, 6, 3, 5, 7, 6, 5, 6, 2, 5, 6, 4, 5, 5, 3, 5, 4, 3, 6, 7, 5, 4, 6, 4, 7, 4, 2, 5, 5, 4, 7, 4, 5, 3, 0, 4, 7, 6, 5, 6, 4, 6, 2, 5, 5, 7, 4, 1, 3, 4, 3, 3, 5, 3, 6, 5, 5, 4, 3, 6, 4, 4, 5, 4, 3, 7, 4, 5, 4, 4, 2, 6, 5, 6, 5, 6, 6, 2, 2, 6, 5, 7, 5, 6, 5, 2, 4, 7, 2, 4, 3, 4, 3, 5, 4, 6, 5, 4, 5, 4, 5, 4, 4, 5, 4, 6, 7, 4, 3, 3, 6, 4, 4, 4, 6, 3, 5, 6, 5, 4, 4, 5, 3, 7, 4, 2, 2, 6, 4, 4, 5, 7, 3, 5, -1 6, 4, 6, 5, 5, 3, 4, 6, 4, 6, 4, 4, 5, 4, 5, 2, 7, 4, 2, 4, 3, 6, 7, 5, 5, 4, 4, 2, 6, 4, 6, 4, 4, 4, 5, 5, 3, 3, 2, 2, 4, 6, 6, 3, 5, 4, 5, 5, 4, 6, 4, 7, 3, 6, 3, 8, 5, 8, 4, 2, 7, 3, 4, 1, 4, 3, 4, 5, 4, 9, 6, 8, 2, 5, 4, 6, 4, 3, 6, 5, 6, 5, 4, 6, 1, 2, 4, 4, 4, 4, 7, 3, 4, 6, 6, 3, 5, 2, 4, 6, 4, 5, 4, 5, 6, 6, 6, 5, 6, 4, 5, 2, 7, 4, 3, 4, 4, 3, 4, 2, 5, 5, 5, 7, 6, 2, 5, 6, 7, 3, 7, 2, 5, 6, 7, 6, 3, 2, 3, 5, 3, 3, 5, 3, 6, 5, 0, 4, 8, 5, 3, 7, 5, 4, 7, 5, 4, 4, 6, 3, 4, 7, 3, 4, 5, 4, 2, 4, 6, 4, 4, 4, 5, 4, 8, 7, 4, 5, 5, 5, 4, 5, 3, 4, 4, 3, 5, 4, 3, 2, 7, 3, 5, 3, 6, 4, 3, 3, 4, 4, 5, 5, 1, 3, 4, 3, 6, 4, 5, 3, 4, 5, 3, 5, 5, 4, 5, 3, 4, 3, 6, 3, 3, 4, 2, 3, 6, 4, 8, 5, 4, 4, 5, 5, 4, 7, 2, 1, 5, 3, 5, 2, 5, 6, 5, 5, 7, 5, 6, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 6, 6, 5, 3, 5, 5, 5, 3, 4, 3, 3, 8, 5, 5, 5, 7, 4, 7, 6, 3, 4, 5, 6, 6, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 6, 5, 5, 4, 7, 6, 2, 5, 3, 4, 5, 2, 5, 6, 7, 5, 6, 3, 4, 5, 4, 6, 4, 6, 4, 3, 5, 6, 5, 3, 7, 6, 3, 3, 5, 2, 4, 4, 5, 6, 3, 4, 4, 5, 6, 4, 5, 4, 6, 1, 5, 5, 6, 6, 3, 5, 4, 4, 4, 2, 4, 2, 4, 5, 4, 7, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 2, 5, 5, 4, 2, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 5, 4, 1, 6, 1, 5, 6, 5, 5, 5, 6, 4, 5, 1, 3, 6, 4, 5, 3, 5, 5, 3, 5, 3, 4, 3, 2, 5, 6, 1, 5, 3, 0, 4, 4, 5, 6, 5, 5, 3, 5, 4, 8, 4, 4, 5, 6, 4, 6, 1, 6, 4, 7, 5, 4, 8, 7, 6, 6, 6, 4, 6, 5, 8, 4, 1, 5, 5, 4, 3, 5, 4, 4, 3, 4, 4, 6, 7, 5, 5, 2, 4, 6, 4, 4, 1, 2, 6, 4, 5, 4, 4, 6, 7, 4, 4, 6, 7, 5, 5, 5, 4, 7, 7, 4, 3, 3, 3, 5, 4, 1 5, 6, 2, 4, 4, 4, 4, 5, 4, 5, 5, 2, 3, 6, 3, 6, 5, 5, 2, 7, 6, 6, 5, 4, 7, 4, 5, 5, 6, 2, 6, 6, 4, 3, 5, 3, 4, 4, 8, 5, 4, 4, 5, 4, 2, 6, 3, 6, 2, 6, 4, 7, 5, 4, 3, 5, 3, 4, 2, 4, 6, 4, 5, 2, 6, 6, 2, 6, 7, 3, 5, 5, 6, 5, 2, 4, 4, 4, 5, 3, 6, 4, 5, 4, 5, 4, 2, 4, 6, 3, 4, 3, 3, 5, 3, 6, 3, 4, 3, 4, 7, 5, 3, 3, 5, 4, 8, 5, 5, 5, 2, 4, 4, 5, 4, 8, 6, 4, 4, 5, 4, 5, 3, 6, 4, 4, 3, 5, 4, 8, 5, 3, 5, 5, 3, 3, 3, 5, 3, 5, 2, 4, 6, 3, 5, 5, 3, 3, 4, 4, 3, 4, 3, 7, 6, 5, 4, 4, 5, 4, 6, 3, 6, 8, 7, 4, 6, 3, 2, 5, 5, 4, 4, 6, 6, 2, 7, 4, 5, 5, 5, 4, 1, 5, 4, 7, 5, 4, 7, 6, 4, 4, 6, 2, 4, 4, 4, 5, 2, 0, 3, 5, 4, 7, 3, 5, 4, 5, 3, 3, 3, 6, 3, 5, 4, 6, 6, 5, 4, 3, 4, 5, 5, 3, 7, 7, 3, 2, 4, 4, 5, 5, 3, 2, 4, 4, 5, 4, 6, 4, 4, 3, 5, 4, 3, 6, 6, 3, 5, 3, 5, 6, 5, 3, 5, 3, 6, 5, 5, 5, 4, 4, 5, 4, 4, 6, 4, 4, 2, 3, 7, 5, 5, 5, 3, 4, 7, 5, 6, 4, 3, 7, 3, 6, 6, 6, 7, 3, 5, 3, 3, 2, 5, 4, 4, 6, 5, 3, 6, 4, 4, 6, 5, 7, 5, 6, 6, 4, 6, 5, 1, 5, 6, 6, 3, 3, 4, 4, 7, 6, 5, 7, 3, 5, 4, 4, 5, 5, 4, 2, 2, 3, 1, 3, 5, 4, 6, 7, 3, 2, 5, 5, 5, 3, 4, 6, 4, 5, 4, 3, 4, 2, 5, 6, 7, 7, 3, 3, 5, 4, 5, 7, 6, 6, 5, 5, 4, 3, 6, 2, 3, 1, 2, 6, 2, 5, 3, 4, 2, 3, 3, 2, 4, 4, 2, 3, 5, 2, 8, 6, 2, 5, 2, 4, 4, 7, 6, 5, 4, 3, 6, 6, 6, 6, 5, 4, 5, 4, 4, 7, 4, 0, 4, 4, 4, 3, 4, 5, 4, 5, 2, 3, 6, 4, 6, 5, 3, 3, 3, 4, 7, 6, 5, 7, 4, 4, 3, 3, 4, 4, 5, 5, 3, 4, 3, 5, 3, 3, 3, 2, 5, 6, 6, 6, 6, 6, 3, 5, 6, 3, 4, 4, 5, 3, 5, 6, 3, 5, 4, 8, 5, 2, 3, 5, 1, 3, 6, 4, 3, 5, 8, 7, 5, 3, 6, 4, 3, 6, 5, 4, 4, 2, 3, 5, 5, 4, 8, 4, 5, 4, -1 4, 5, 3, 4, 3, 4, 4, 7, 1, 5, 4, 2, 5, 3, 2, 7, 4, 5, 4, 5, 6, 3, 5, 5, 7, 5, 3, 4, 4, 6, 4, 5, 5, 2, 6, 4, 6, 5, 4, 4, 5, 3, 3, 3, 4, 5, 4, 5, 1, 5, 5, 3, 3, 6, 3, 6, 7, 7, 4, 3, 5, 3, 4, 1, 4, 3, 7, 5, 4, 3, 5, 6, 3, 4, 3, 6, 3, 2, 5, 4, 4, 6, 2, 5, 4, 4, 3, 6, 3, 3, 4, 4, 4, 4, 5, 5, 2, 5, 2, 5, 4, 5, 1, 2, 6, 3, 5, 4, 4, 5, 5, 6, 6, 4, 3, 3, 3, 5, 5, 4, 4, 5, 6, 7, 2, 6, 5, 5, 4, 4, 4, 5, 6, 4, 4, 2, 2, 7, 5, 4, 5, 5, 3, 4, 4, 6, 6, 5, 6, 6, 3, 4, 5, 3, 6, 6, 4, 3, 6, 5, 4, 5, 5, 5, 6, 3, 6, 6, 6, 6, 5, 5, 7, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 4, 2, 4, 4, 6, 4, 7, 4, 5, 4, 9, 4, 4, 5, 4, 5, 4, 2, 5, 5, 5, 4, 5, 3, 6, 4, 6, 2, 7, 7, 4, 7, 2, 4, 5, 4, 3, 5, 4, 2, 3, 7, 4, 5, 6, 8, 4, 3, 3, 4, 3, 6, 3, 5, 3, 2, 7, 4, 4, 4, 5, 6, 4, 6, 6, 4, 7, 4, 3, 2, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 2, 3, 4, 3, 4, 2, 5, 4, 3, 5, 4, 7, 3, 6, 4, 6, 2, 8, 4, 5, 4, 2, 5, 5, 6, 5, 4, 8, 6, 6, 2, 5, 4, 3, 3, 6, 5, 5, 3, 6, 7, 3, 5, 4, 4, 4, 6, 6, 3, 4, 5, 4, 6, 4, 6, 5, 5, 5, 4, 5, 1, 6, 8, 5, 3, 3, 7, 4, 5, 7, 3, 3, 4, 6, 5, 5, 4, 6, 6, 7, 4, 4, 3, 7, 5, 3, 6, 5, 6, 1, 2, 4, 2, 9, 3, 4, 4, 2, 4, 4, 5, 5, 5, 4, 4, 3, 4, 8, 5, 3, 4, 6, 4, 1, 3, 4, 2, 4, 2, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 7, 4, 5, 4, 5, 4, 6, 7, 6, 6, 3, 2, 6, 5, 4, 4, 3, 3, 2, 6, 2, 4, 5, 6, 6, 5, 7, 6, 3, 2, 4, 5, 2, 3, 3, 6, 6, 4, 4, 3, 7, 4, 5, 2, 7, 3, 5, 4, 6, 4, 5, 9, 7, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 3, 3, 6, 8, 5, 4, 5, 6, 3, 4, 3, 5, 6, 4, 4, 3, 3, 5, 4, 4, 5, 3, 5, 4, 2, 5, 3, 5, 5, 5, 3, 7, 5, 4, 4, 3, 4, 7, 4, 4, 1 4, 3, 5, 4, 5, 4, 7, 4, 5, 6, 6, 5, 6, 5, 4, 5, 4, 1, 5, 6, 3, 4, 6, 5, 3, 6, 3, 3, 4, 3, 4, 3, 5, 4, 6, 3, 4, 6, 6, 4, 6, 4, 2, 4, 7, 1, 5, 4, 6, 5, 4, 6, 5, 3, 6, 7, 6, 4, 4, 5, 5, 6, 4, 6, 3, 4, 3, 6, 4, 5, 3, 6, 4, 6, 4, 1, 2, 7, 4, 4, 4, 5, 3, 6, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 7, 2, 3, 2, 3, 6, 4, 4, 4, 6, 6, 4, 1, 3, 6, 3, 5, 5, 4, 7, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 8, 4, 6, 4, 4, 2, 6, 4, 2, 3, 6, 6, 6, 4, 4, 5, 2, 2, 1, 3, 6, 2, 5, 5, 6, 4, 5, 5, 7, 5, 6, 7, 7, 3, 4, 4, 3, 5, 3, 5, 6, 3, 3, 4, 5, 7, 3, 4, 4, 4, 6, 7, 4, 1, 5, 5, 0, 7, 4, 2, 4, 3, 5, 3, 6, 3, 4, 3, 3, 5, 5, 5, 5, 3, 3, 3, 8, 6, 3, 2, 5, 5, 6, 2, 4, 8, 2, 9, 5, 5, 5, 6, 6, 4, 5, 4, 5, 4, 4, 4, 3, 5, 6, 7, 3, 6, 5, 4, 4, 5, 4, 4, 5, 4, 5, 7, 4, 4, 5, 3, 6, 6, 5, 4, 4, 4, 5, 4, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 2, 6, 5, 6, 6, 4, 6, 7, 5, 4, 3, 4, 4, 6, 5, 7, 5, 6, 5, 5, 4, 5, 5, 3, 5, 6, 6, 5, 5, 4, 4, 6, 5, 5, 4, 5, 3, 6, 6, 6, 7, 4, 1, 6, 5, 5, 7, 5, 4, 5, 6, 4, 5, 7, 4, 5, 3, 5, 6, 5, 6, 6, 2, 6, 4, 3, 5, 5, 2, 3, 4, 6, 3, 5, 2, 3, 5, 6, 3, 5, 3, 5, 3, 3, 4, 2, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 2, 3, 3, 3, 6, 4, 5, 4, 4, 3, 6, 2, 6, 6, 6, 5, 5, 3, 6, 5, 5, 4, 3, 6, 4, 7, 5, 4, 2, 4, 4, 5, 6, 6, 1, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 1, 4, 2, 5, 4, 3, 4, 3, 2, 6, 5, 2, 4, 4, 6, 5, 4, 4, 4, 2, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 3, 4, 6, 6, 4, 5, 3, 5, 4, 5, 6, 7, 6, 4, 4, 6, 3, 3, 4, 3, 3, 5, 7, 4, 3, 4, 3, 4, 4, 3, 4, 6, 2, 5, 4, 4, 3, 6, 3, 6, 5, 3, 3, 1, 6, 3, 5, 2, 4, 5, 6, 3, 2, 2, 6, 5, 6, 5, 6, 5, 7, 5, 1 4, 2, 4, 4, 3, 5, 2, 2, 4, 4, 8, 5, 4, 3, 4, 1, 4, 5, 4, 4, 7, 6, 1, 5, 2, 5, 4, 4, 7, 3, 5, 3, 3, 6, 3, 6, 4, 3, 3, 3, 4, 5, 5, 4, 5, 4, 3, 6, 2, 5, 5, 2, 4, 2, 5, 6, 6, 5, 5, 4, 5, 5, 2, 6, 6, 4, 6, 7, 5, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 0, 4, 4, 1, 4, 0, 6, 5, 3, 5, 6, 4, 3, 6, 4, 5, 3, 5, 5, 5, 1, 3, 3, 4, 6, 6, 5, 4, 4, 6, 6, 3, 6, 4, 4, 2, 3, 5, 5, 3, 5, 4, 4, 5, 2, 4, 5, 4, 6, 4, 4, 4, 5, 4, 3, 4, 3, 3, 6, 3, 3, 5, 3, 5, 3, 7, 5, 5, 6, 5, 4, 5, 5, 7, 4, 4, 5, 3, 2, 3, 7, 5, 5, 9, 3, 2, 5, 5, 6, 5, 4, 5, 4, 3, 4, 4, 2, 4, 5, 5, 5, 5, 4, 2, 4, 6, 4, 3, 5, 5, 3, 4, 6, 5, 5, 4, 5, 7, 5, 2, 3, 8, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 0, 3, 6, 7, 4, 4, 6, 4, 4, 4, 5, 4, 4, 4, 6, 2, 3, 6, 6, 3, 3, 6, 4, 4, 5, 2, 5, 3, 7, 5, 4, 4, 4, 2, 3, 3, 5, 6, 7, 2, 5, 2, 1, 6, 3, 5, 2, 4, 4, 5, 6, 1, 4, 3, 4, 4, 6, 1, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 7, 4, 5, 5, 6, 5, 3, 4, 4, 3, 4, 6, 5, 3, 6, 3, 6, 4, 6, 4, 5, 2, 5, 6, 1, 4, 5, 4, 8, 9, 4, 4, 4, 6, 4, 2, 5, 5, 4, 0, 5, 3, 4, 4, 4, 3, 5, 2, 6, 2, 3, 5, 6, 4, 4, 3, 5, 4, 2, 4, 7, 3, 5, 5, 6, 5, 4, 4, 5, 3, 3, 7, 7, 5, 4, 2, 2, 3, 5, 6, 6, 3, 5, 4, 4, 4, 4, 6, 2, 4, 5, 5, 4, 5, 6, 4, 5, 4, 4, 6, 5, 5, 6, 4, 5, 7, 5, 5, 5, 3, 4, 7, 4, 6, 3, 5, 5, 3, 5, 4, 3, 4, 6, 5, 4, 4, 3, 5, 6, 3, 4, 5, 2, 4, 5, 6, 5, 3, 5, 3, 5, 4, 5, 3, 5, 6, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 6, 5, 4, 2, 6, 4, 4, 5, 3, 3, 5, 2, 2, 3, 5, 4, 3, 5, 6, 5, 3, 4, 2, 5, 3, 5, 4, 6, 4, 6, 4, 5, 7, 5, 5, 3, 5, 4, 5, 4, 5, 6, 3, 3, 5, 5, 7, 6, 5, -1 4, 5, 7, 3, 1, 5, 6, 5, 5, 6, 5, 4, 3, 6, 5, 5, 5, 3, 3, 5, 3, 4, 3, 4, 4, 3, 2, 3, 3, 6, 3, 2, 3, 5, 4, 2, 5, 5, 4, 5, 1, 7, 7, 5, 4, 6, 4, 5, 3, 0, 5, 3, 6, 3, 4, 7, 6, 5, 4, 4, 5, 5, 4, 1, 3, 6, 4, 6, 5, 5, 6, 5, 5, 5, 6, 5, 5, 3, 0, 3, 7, 3, 5, 6, 3, 3, 7, 4, 5, 6, 4, 4, 4, 5, 2, 8, 2, 3, 5, 6, 4, 3, 6, 5, 6, 4, 4, 5, 3, 6, 5, 4, 6, 4, 3, 3, 6, 5, 3, 4, 5, 6, 2, 4, 5, 4, 6, 8, 5, 4, 6, 3, 5, 3, 6, 4, 4, 6, 4, 6, 6, 6, 6, 4, 3, 7, 6, 4, 6, 6, 6, 6, 8, 2, 6, 4, 4, 4, 5, 5, 3, 4, 4, 7, 4, 6, 5, 4, 4, 4, 4, 6, 3, 1, 3, 6, 6, 7, 5, 5, 6, 6, 3, 4, 5, 5, 4, 6, 4, 4, 5, 2, 3, 4, 4, 6, 6, 4, 3, 6, 3, 4, 4, 5, 5, 3, 4, 4, 3, 3, 1, 5, 2, 5, 5, 6, 3, 5, 5, 5, 4, 7, 4, 3, 6, 4, 4, 5, 4, 2, 4, 4, 3, 5, 5, 2, 5, 3, 5, 4, 7, 4, 3, 2, 7, 5, 4, 5, 4, 4, 4, 5, 5, 3, 2, 5, 3, 5, 5, 4, 6, 3, 5, 7, 3, 3, 3, 5, 5, 3, 3, 7, 4, 3, 3, 2, 4, 6, 7, 5, 4, 3, 5, 6, 3, 4, 5, 5, 5, 7, 6, 3, 5, 5, 5, 5, 4, 3, 5, 6, 6, 7, 3, 4, 4, 2, 3, 6, 5, 6, 5, 3, 3, 2, 7, 3, 5, 7, 3, 6, 3, 4, 5, 5, 5, 3, 3, 5, 3, 6, 4, 5, 5, 3, 5, 5, 3, 6, 6, 3, 4, 2, 5, 5, 3, 4, 4, 5, 4, 4, 5, 6, 2, 3, 7, 6, 4, 4, 4, 6, 7, 5, 3, 3, 5, 5, 5, 3, 4, 4, 5, 5, 4, 6, 5, 8, 5, 5, 2, 4, 4, 4, 5, 4, 5, 7, 3, 4, 6, 1, 4, 6, 2, 2, 2, 3, 5, 6, 5, 4, 5, 4, 7, 4, 5, 5, 7, 7, 5, 6, 5, 3, 5, 5, 4, 5, 3, 5, 5, 3, 6, 6, 3, 7, 7, 6, 4, 6, 5, 5, 8, 4, 7, 3, 5, 4, 6, 7, 6, 5, 3, 3, 9, 5, 5, 5, 6, 3, 5, 4, 5, 3, 3, 6, 5, 2, 6, 3, 7, 6, 3, 5, 6, 5, 7, 7, 4, 4, 4, 4, 4, 5, 8, 3, 5, 3, 6, 5, 4, 4, 4, 7, 5, 8, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 1 4, 6, 4, 3, 6, 4, 5, 3, 4, 6, 4, 3, 4, 2, 3, 3, 6, 3, 5, 4, 6, 5, 7, 6, 3, 5, 1, 7, 1, 5, 4, 7, 3, 6, 6, 4, 3, 5, 4, 5, 1, 6, 4, 3, 4, 4, 2, 6, 6, 5, 6, 4, 4, 5, 6, 4, 5, 3, 5, 4, 6, 5, 4, 6, 4, 5, 5, 7, 6, 3, 5, 4, 4, 4, 3, 4, 3, 3, 2, 2, 5, 4, 3, 5, 4, 4, 5, 4, 4, 7, 4, 2, 3, 4, 3, 6, 5, 3, 6, 5, 3, 4, 3, 4, 3, 6, 7, 3, 5, 5, 4, 5, 6, 4, 5, 6, 5, 4, 6, 1, 1, 5, 2, 8, 6, 4, 4, 4, 6, 6, 5, 6, 6, 4, 2, 4, 4, 6, 3, 5, 7, 5, 4, 4, 4, 5, 5, 3, 8, 5, 7, 5, 6, 5, 3, 2, 4, 4, 4, 6, 6, 3, 5, 7, 4, 3, 6, 2, 3, 5, 6, 3, 5, 4, 7, 4, 5, 7, 5, 6, 4, 4, 4, 5, 6, 3, 4, 5, 4, 6, 8, 3, 2, 5, 4, 3, 3, 6, 4, 2, 5, 7, 6, 6, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 6, 7, 3, 5, 2, 3, 1, 5, 2, 4, 5, 6, 3, 3, 4, 5, 6, 5, 3, 4, 3, 6, 6, 6, 4, 4, 4, 6, 5, 5, 3, 4, 4, 6, 6, 3, 4, 4, 6, 5, 4, 5, 5, 6, 4, 5, 5, 4, 4, 6, 3, 2, 2, 6, 6, 5, 4, 3, 2, 2, 6, 5, 5, 3, 4, 8, 2, 7, 5, 3, 5, 3, 2, 6, 3, 7, 4, 5, 4, 4, 2, 3, 5, 5, 5, 4, 4, 4, 5, 6, 3, 5, 6, 5, 6, 4, 4, 5, 1, 3, 5, 1, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 3, 3, 3, 5, 5, 6, 7, 3, 5, 4, 5, 5, 5, 5, 5, 2, 4, 6, 4, 4, 6, 6, 1, 5, 6, 4, 3, 2, 3, 6, 4, 8, 5, 6, 2, 6, 5, 4, 4, 4, 3, 3, 6, 5, 6, 5, 4, 4, 4, 6, 4, 4, 2, 3, 6, 3, 2, 2, 3, 2, 4, 3, 5, 2, 5, 4, 6, 4, 5, 4, 2, 4, 4, 6, 5, 3, 3, 3, 7, 4, 9, 6, 4, 6, 4, 4, 6, 2, 4, 7, 4, 4, 6, 4, 4, 3, 4, 4, 4, 7, 1, 3, 4, 6, 5, 6, 5, 4, 4, 4, 6, 5, 6, 8, 5, 5, 6, 6, 3, 5, 6, 5, 1, 5, 8, 4, 2, 4, 2, 4, 4, 4, 8, 5, 6, 6, 5, 5, 3, 4, 2, 4, 5, 8, 2, 5, 4, 5, 5, 6, 6, 4, 5, 4, 5, 6, 4, 6, 3, 5, 4, 4, 5, 4, 7, 4, 5, 4, 5, 5, 6, 1 2, 0, 6, 3, 4, 3, 6, 4, 5, 2, 8, 3, 3, 5, 5, 7, 2, 4, 6, 4, 4, 4, 4, 5, 6, 1, 4, 4, 5, 6, 5, 4, 4, 5, 7, 4, 2, 6, 5, 5, 5, 4, 4, 3, 5, 6, 1, 5, 3, 4, 4, 6, 4, 4, 1, 6, 4, 4, 4, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 4, 3, 6, 4, 5, 3, 5, 4, 6, 4, 2, 1, 5, 5, 4, 4, 5, 7, 5, 6, 5, 4, 5, 7, 3, 4, 3, 4, 0, 4, 6, 7, 5, 4, 4, 3, 4, 4, 5, 5, 6, 5, 4, 5, 4, 5, 4, 3, 3, 2, 4, 4, 5, 4, 6, 6, 2, 3, 6, 4, 3, 5, 1, 4, 6, 5, 4, 6, 5, 3, 3, 5, 4, 2, 4, 6, 3, 3, 4, 5, 7, 5, 3, 5, 3, 5, 5, 7, 7, 4, 5, 7, 3, 3, 8, 4, 6, 6, 6, 4, 6, 4, 6, 4, 3, 7, 5, 9, 4, 6, 4, 6, 5, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 6, 3, 2, 4, 3, 5, 8, 1, 3, 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3, 2, 5, 6, 6, 5, 5, 5, 7, 3, 5, 8, 4, 5, 3, 6, 6, 6, 5, 7, 4, 4, 5, 6, 5, 5, 3, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 7, 5, 4, 5, 4, 2, 6, 4, 2, 4, 2, 7, 3, 2, 6, 2, 3, 4, 6, 3, 4, 3, 4, 2, 4, 5, 5, 7, 6, 4, 4, 4, 4, 3, 5, 4, 4, 5, 2, 7, 5, 4, 7, 5, 5, 2, 6, 6, 3, 8, 5, 7, 5, 4, 4, 2, 4, 5, 5, 5, 7, 2, 3, 3, 4, 5, 4, 2, 4, 3, 4, 4, 3, 5, 4, 5, 5, 4, 4, 6, 5, 5, 3, 5, 9, 4, 6, 5, 5, 5, 5, 4, 4, 4, 1 6, 4, 4, 5, 2, 5, 5, 4, 5, 8, 6, 4, 5, 6, 3, 2, 3, 4, 4, 4, 5, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 6, 5, 5, 6, 2, 4, 4, 4, 1, 1, 4, 3, 7, 4, 4, 3, 3, 4, 4, 3, 4, 5, 5, 8, 6, 6, 3, 3, 2, 6, 6, 3, 2, 2, 5, 3, 5, 5, 4, 5, 6, 4, 4, 5, 8, 4, 4, 5, 4, 4, 5, 1, 6, 4, 5, 6, 3, 3, 5, 4, 6, 5, 2, 4, 4, 4, 5, 5, 3, 2, 3, 2, 5, 4, 7, 5, 2, 5, 4, 4, 8, 6, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 7, 8, 2, 6, 2, 6, 4, 4, 3, 6, 3, 3, 5, 4, 3, 5, 4, 5, 5, 6, 3, 4, 7, 5, 6, 5, 5, 4, 3, 7, 4, 1, 4, 6, 6, 6, 6, 4, 6, 5, 4, 4, 4, 5, 4, 5, 3, 6, 8, 4, 5, 6, 5, 3, 5, 4, 3, 4, 6, 5, 3, 4, 5, 6, 6, 4, 2, 4, 3, 4, 3, 3, 6, 3, 7, 1, 6, 4, 3, 4, 4, 2, 4, 5, 3, 5, 8, 4, 6, 4, 2, 7, 6, 6, 5, 7, 3, 6, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 4, 5, 3, 7, 3, 4, 7, 5, 4, 5, 4, 5, 3, 5, 4, 4, 6, 4, 6, 3, 3, 4, 5, 5, 6, 6, 3, 7, 5, 5, 5, 8, 4, 5, 5, 3, 6, 5, 3, 7, 4, 7, 5, 6, 4, 4, 5, 6, 3, 6, 4, 6, 4, 6, 4, 5, 4, 4, 5, 2, 2, 3, 2, 6, 5, 3, 1, 4, 4, 6, 5, 4, 2, 5, 6, 3, 6, 4, 5, 7, 3, 4, 7, 6, 4, 6, 6, 6, 3, 5, 4, 6, 4, 2, 4, 5, 4, 4, 5, 4, 7, 1, 3, 2, 3, 5, 5, 6, 4, 4, 5, 3, 0, 4, 3, 6, 6, 7, 3, 2, 7, 6, 6, 3, 6, 3, 3, 5, 5, 5, 6, 6, 5, 4, 3, 4, 5, 7, 4, 4, 7, 4, 5, 4, 5, 2, 3, 4, 1, 4, 3, 5, 3, 6, 5, 4, 6, 4, 6, 3, 6, 5, 6, 7, 7, 4, 4, 4, 6, 3, 5, 4, 6, 3, 4, 2, 4, 6, 3, 3, 4, 5, 5, 3, 2, 3, 5, 3, 4, 2, 4, 7, 4, 3, 4, 7, 4, 4, 5, 2, 6, 4, 4, 4, 6, 5, 5, 4, 4, 2, 5, 2, 0, 5, 3, 5, 5, 5, 5, 4, 2, 3, 3, 5, 3, 5, 4, 3, 6, 4, 4, 5, 5, 3, 5, 3, 4, 4, 3, 4, 7, 5, 4, 4, 6, 5, 4, 5, 5, 5, 3, 7, 3, 4, 4, 5, 4, 3, 5, 6, 5, 6, 4, 4, 2, 1 4, 5, 4, 7, 4, 5, 2, 6, 4, 5, 4, 4, 5, 4, 3, 4, 6, 6, 2, 4, 4, 5, 5, 4, 3, 4, 6, 3, 3, 2, 3, 1, 5, 3, 7, 2, 3, 6, 6, 3, 5, 5, 5, 8, 4, 3, 4, 6, 4, 5, 4, 6, 6, 5, 4, 7, 5, 3, 3, 2, 4, 4, 7, 2, 7, 4, 3, 4, 2, 7, 5, 3, 2, 2, 5, 4, 4, 4, 4, 7, 3, 3, 0, 6, 2, 4, 6, 3, 6, 4, 4, 4, 3, 5, 5, 4, 2, 3, 5, 5, 5, 7, 3, 3, 6, 3, 7, 4, 5, 5, 2, 4, 6, 5, 6, 4, 4, 5, 6, 3, 4, 2, 4, 0, 5, 6, 7, 6, 4, 5, 3, 3, 6, 3, 6, 6, 3, 2, 4, 4, 5, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 4, 6, 7, 6, 7, 4, 5, 2, 5, 5, 6, 4, 5, 4, 5, 3, 5, 6, 5, 4, 1, 5, 6, 6, 3, 2, 2, 5, 5, 7, 1, 3, 4, 4, 3, 6, 4, 5, 5, 5, 3, 2, 4, 5, 5, 7, 3, 5, 5, 7, 4, 3, 4, 6, 2, 5, 4, 3, 5, 5, 3, 6, 6, 4, 5, 3, 6, 6, 5, 7, 3, 5, 4, 4, 5, 3, 5, 6, 5, 2, 3, 2, 4, 5, 3, 3, 4, 6, 2, 3, 3, 3, 6, 3, 2, 4, 4, 5, 4, 4, 5, 6, 6, 3, 4, 7, 6, 7, 5, 5, 3, 8, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 2, 6, 3, 3, 7, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 7, 3, 4, 5, 3, 5, 6, 4, 5, 5, 4, 5, 4, 7, 4, 3, 6, 4, 5, 3, 4, 3, 3, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 6, 5, 2, 3, 7, 4, 7, 5, 4, 9, 4, 4, 7, 5, 4, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 3, 6, 5, 7, 1, 3, 2, 1, 3, 5, 4, 4, 5, 2, 6, 2, 7, 5, 5, 3, 4, 7, 5, 4, 3, 5, 5, 2, 4, 2, 1, 4, 7, 4, 3, 5, 6, 6, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 6, 6, 4, 6, 5, 5, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 3, 3, 6, 5, 1, 3, 8, 4, 6, 6, 4, 3, 6, 5, 2, 6, 5, 6, 4, 4, 4, 4, 5, 3, 3, 6, 8, 4, 5, 6, 4, 3, 6, 6, 5, 7, 8, 3, 8, 3, 5, 3, 5, 4, 2, 6, 4, 2, 2, 4, 8, 3, 3, 4, 3, 2, 5, 3, 3, 7, 4, 3, 4, 4, 2, 7, 7, 6, 1, 6, 5, 3, 3, -1 7, 4, 4, 3, 3, 2, 5, 4, 6, 4, 6, 5, 6, 4, 7, 6, 2, 5, 5, 3, 5, 4, 5, 5, 3, 7, 5, 3, 2, 3, 5, 4, 4, 5, 5, 7, 4, 7, 5, 3, 3, 2, 3, 6, 6, 6, 3, 4, 7, 5, 5, 3, 3, 5, 5, 4, 5, 6, 7, 4, 7, 4, 3, 7, 5, 4, 4, 4, 3, 5, 3, 7, 5, 4, 4, 4, 3, 3, 3, 8, 3, 5, 6, 4, 9, 4, 5, 5, 5, 7, 4, 4, 6, 5, 4, 6, 4, 4, 6, 7, 4, 5, 4, 2, 3, 5, 7, 3, 2, 3, 5, 4, 4, 5, 6, 4, 3, 3, 1, 8, 5, 4, 5, 4, 0, 5, 6, 7, 5, 6, 6, 3, 5, 6, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 7, 4, 7, 4, 4, 6, 5, 4, 4, 5, 4, 6, 2, 5, 3, 7, 3, 4, 2, 7, 2, 6, 5, 2, 4, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 2, 6, 1, 4, 8, 3, 6, 5, 5, 4, 4, 1, 5, 5, 5, 5, 3, 3, 4, 7, 5, 2, 5, 3, 6, 4, 5, 4, 3, 4, 4, 1, 3, 4, 2, 4, 3, 3, 4, 5, 6, 0, 6, 4, 5, 6, 4, 6, 5, 5, 5, 4, 3, 4, 3, 3, 4, 7, 5, 4, 2, 1, 6, 6, 5, 6, 6, 2, 5, 4, 4, 3, 2, 4, 3, 4, 5, 6, 6, 5, 8, 7, 7, 2, 5, 3, 3, 2, 6, 5, 7, 4, 5, 4, 4, 6, 5, 1, 4, 5, 6, 4, 5, 7, 4, 3, 4, 4, 4, 9, 2, 6, 3, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 4, 4, 8, 6, 6, 3, 4, 5, 4, 5, 4, 7, 4, 3, 1, 4, 2, 3, 4, 5, 7, 5, 3, 1, 4, 5, 2, 4, 4, 4, 4, 5, 4, 5, 4, 3, 2, 5, 6, 5, 4, 4, 4, 3, 5, 5, 5, 4, 8, 3, 5, 4, 6, 7, 6, 5, 7, 5, 4, 4, 6, 5, 3, 5, 5, 2, 3, 4, 3, 6, 6, 3, 3, 6, 1, 5, 3, 3, 3, 1, 7, 5, 4, 5, 4, 6, 5, 5, 5, 3, 9, 4, 6, 6, 6, 3, 3, 6, 5, 5, 4, 5, 3, 4, 6, 5, 2, 7, 5, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 6, 5, 5, 5, 5, 4, 3, 3, 6, 4, 4, 4, 7, 3, 4, 5, 5, 4, 3, 6, 5, 2, 4, 7, 4, 4, 0, 3, 6, 3, 4, 5, 8, 6, 5, 4, 1, 4, 5, 7, 5, 6, 6, 4, 6, 4, 4, 5, 5, 4, 6, 2, 5, 5, 3, 2, 4, 3, 3, 8, 7, 4, 5, 6, 6, 5, 3, 2, 5, 2, -1 5, 2, 4, 3, 3, 7, 5, 7, 7, 6, 6, 5, 2, 5, 4, 5, 5, 5, 4, 5, 5, 6, 4, 6, 5, 5, 5, 5, 3, 6, 6, 3, 5, 5, 7, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 7, 5, 5, 6, 3, 3, 3, 6, 7, 5, 2, 3, 4, 7, 1, 1, 2, 7, 2, 3, 5, 5, 8, 5, 4, 5, 2, 4, 3, 5, 4, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 4, 3, 5, 2, 1, 4, 3, 4, 4, 5, 3, 4, 3, 3, 6, 5, 3, 5, 5, 4, 6, 5, 2, 3, 4, 6, 7, 4, 4, 5, 4, 8, 5, 4, 4, 5, 4, 5, 5, 5, 4, 6, 3, 4, 3, 2, 2, 2, 3, 3, 4, 5, 4, 5, 3, 4, 3, 5, 2, 4, 4, 4, 5, 5, 5, 5, 8, 4, 6, 4, 3, 5, 6, 4, 3, 2, 4, 4, 4, 7, 5, 6, 7, 7, 3, 3, 5, 4, 7, 5, 2, 3, 5, 6, 5, 6, 6, 4, 3, 3, 3, 6, 7, 4, 4, 5, 4, 2, 5, 7, 4, 6, 5, 6, 4, 4, 3, 6, 3, 3, 4, 4, 6, 4, 5, 5, 4, 5, 6, 6, 5, 5, 5, 4, 4, 6, 6, 4, 7, 5, 3, 3, 7, 2, 7, 3, 4, 8, 5, 4, 4, 6, 5, 4, 4, 4, 4, 3, 6, 5, 6, 5, 2, 5, 3, 5, 6, 5, 6, 6, 4, 6, 3, 4, 5, 5, 3, 2, 4, 3, 4, 2, 6, 4, 4, 5, 6, 3, 4, 4, 5, 3, 5, 3, 4, 6, 4, 3, 4, 6, 3, 6, 5, 6, 4, 4, 5, 5, 4, 6, 2, 2, 5, 6, 5, 5, 5, 7, 5, 4, 4, 4, 2, 3, 3, 4, 3, 2, 3, 2, 8, 4, 6, 5, 3, 3, 5, 5, 8, 4, 2, 5, 5, 5, 6, 2, 6, 6, 4, 3, 7, 4, 2, 5, 4, 4, 3, 5, 6, 2, 7, 6, 4, 3, 4, 4, 6, 4, 1, 5, 5, 3, 6, 5, 4, 3, 6, 3, 5, 8, 4, 8, 4, 4, 4, 6, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 7, 4, 3, 4, 5, 5, 2, 5, 3, 3, 5, 3, 3, 6, 5, 4, 5, 5, 6, 4, 3, 4, 5, 4, 4, 5, 5, 2, 6, 5, 6, 5, 5, 3, 4, 4, 5, 4, 6, 5, 4, 2, 6, 1, 4, 4, 5, 3, 6, 4, 2, 4, 6, 7, 5, 3, 2, 6, 3, 2, 6, 4, 5, 3, 7, 4, 0, 7, 4, 4, 3, 3, 4, 3, 6, 5, 5, 5, 2, 6, 6, 5, 4, 4, 5, 5, 5, 3, 7, 5, 2, 6, 3, 4, 4, 4, 5, 5, 4, 4, 4, 7, 3, 4, 3, 4, 6, 3, 6, 5, 4, 5, -1 9, 5, 5, 1, 4, 4, 5, 4, 4, 5, 4, 6, 5, 5, 4, 3, 3, 8, 5, 6, 7, 3, 4, 5, 6, 7, 4, 1, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 7, 5, 3, 5, 6, 3, 3, 6, 2, 6, 4, 3, 4, 6, 4, 6, 2, 5, 5, 4, 4, 4, 4, 7, 6, 6, 6, 5, 6, 6, 6, 5, 5, 7, 7, 2, 2, 4, 2, 3, 5, 4, 3, 6, 5, 4, 8, 3, 5, 4, 3, 4, 5, 6, 3, 7, 4, 5, 5, 5, 5, 3, 5, 5, 5, 6, 3, 9, 8, 2, 6, 5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 7, 7, 6, 6, 3, 5, 5, 5, 4, 4, 3, 5, 4, 6, 5, 6, 3, 4, 1, 7, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 5, 7, 6, 3, 6, 5, 6, 7, 5, 5, 5, 6, 5, 5, 7, 2, 4, 6, 4, 3, 3, 6, 5, 4, 7, 5, 5, 3, 5, 4, 6, 4, 4, 3, 7, 3, 7, 6, 6, 5, 5, 6, 4, 8, 2, 4, 6, 3, 7, 6, 5, 4, 4, 4, 7, 4, 4, 4, 2, 5, 6, 3, 4, 3, 1, 9, 4, 3, 5, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 2, 4, 6, 5, 7, 6, 3, 4, 4, 2, 6, 2, 8, 3, 3, 3, 8, 4, 7, 5, 4, 4, 3, 3, 4, 5, 3, 4, 3, 4, 5, 3, 6, 6, 3, 6, 4, 7, 6, 4, 2, 5, 6, 4, 4, 4, 3, 7, 7, 3, 5, 4, 5, 4, 4, 5, 5, 7, 5, 7, 3, 7, 3, 4, 2, 6, 8, 4, 5, 3, 6, 3, 4, 5, 5, 6, 4, 3, 4, 3, 6, 6, 5, 4, 3, 5, 3, 6, 6, 3, 6, 6, 5, 4, 5, 4, 2, 6, 8, 4, 6, 4, 3, 6, 6, 3, 3, 4, 4, 3, 2, 4, 4, 5, 4, 4, 4, 5, 6, 5, 5, 4, 2, 4, 4, 2, 6, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 6, 5, 8, 3, 5, 5, 5, 6, 6, 2, 4, 3, 3, 2, 3, 4, 6, 3, 5, 5, 4, 6, 8, 3, 4, 5, 4, 6, 5, 4, 5, 5, 4, 3, 4, 7, 5, 4, 6, 6, 2, 6, 3, 6, 2, 4, 5, 3, 2, 5, 3, 6, 4, 5, 3, 5, 6, 6, 5, 5, 4, 1, 7, 1, 5, 5, 3, 4, 5, 4, 6, 3, 3, 3, 3, 5, 5, 7, 3, 7, 4, 3, 6, 4, 6, 4, 1, 6, 5, 4, 3, 3, 2, 7, 4, 6, 5, 2, 5, 5, 6, 3, 4, 2, 4, 7, 4, 5, 2, 6, 3, 2, 5, 6, 4, 5, 5, 5, 7, 5, 5, 6, 6, 4, 7, 4, 4, 4, 3, -1 4, 4, 6, 3, 5, 2, 4, 6, 5, 4, 5, 4, 3, 4, 7, 4, 5, 5, 9, 5, 5, 6, 6, 3, 4, 3, 4, 3, 5, 4, 2, 3, 4, 4, 3, 5, 4, 6, 5, 5, 7, 5, 3, 4, 6, 5, 5, 5, 2, 4, 5, 3, 6, 3, 6, 6, 5, 6, 3, 5, 5, 4, 3, 4, 6, 2, 5, 6, 7, 6, 3, 5, 3, 5, 2, 7, 3, 4, 5, 5, 4, 6, 2, 2, 4, 4, 5, 5, 5, 5, 2, 5, 3, 1, 5, 2, 6, 5, 3, 5, 5, 3, 4, 3, 4, 3, 4, 3, 3, 4, 5, 6, 4, 7, 3, 4, 3, 3, 6, 4, 1, 6, 7, 5, 3, 3, 3, 7, 3, 5, 2, 4, 4, 5, 4, 7, 2, 6, 3, 6, 4, 4, 6, 5, 2, 8, 2, 4, 5, 7, 6, 4, 6, 7, 6, 8, 4, 5, 4, 4, 6, 2, 5, 4, 3, 1, 8, 2, 4, 5, 5, 7, 4, 7, 5, 6, 4, 3, 5, 4, 5, 5, 6, 5, 4, 6, 5, 8, 5, 5, 5, 3, 5, 7, 5, 4, 2, 4, 6, 5, 5, 5, 4, 4, 0, 5, 5, 4, 1, 5, 2, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 6, 3, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 4, 5, 3, 5, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 3, 5, 9, 6, 2, 8, 6, 4, 6, 4, 5, 4, 5, 5, 5, 8, 3, 4, 3, 7, 6, 3, 5, 4, 7, 4, 3, 4, 5, 5, 3, 3, 4, 4, 4, 2, 3, 5, 3, 5, 1, 3, 6, 3, 3, 5, 6, 4, 6, 2, 4, 4, 4, 6, 3, 5, 6, 3, 4, 6, 4, 5, 7, 7, 3, 3, 6, 5, 6, 7, 4, 3, 5, 5, 5, 2, 4, 5, 2, 6, 4, 4, 2, 5, 5, 5, 2, 3, 3, 5, 3, 4, 5, 5, 3, 6, 6, 3, 3, 4, 5, 5, 3, 7, 4, 5, 5, 5, 6, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 6, 5, 2, 3, 5, 4, 5, 5, 6, 8, 5, 4, 3, 4, 7, 4, 3, 6, 3, 7, 5, 3, 4, 3, 3, 0, 3, 6, 5, 6, 6, 5, 4, 6, 7, 5, 5, 3, 5, 6, 5, 5, 4, 1, 5, 4, 3, 4, 5, 6, 5, 5, 6, 4, 8, 5, 3, 6, 5, 5, 6, 4, 4, 8, 4, 3, 3, 5, 6, 6, 4, 3, 7, 3, 8, 5, 4, 4, 5, 7, 2, 5, 3, 6, 5, 5, 4, 4, 3, 2, 4, 4, 4, 5, 6, 5, 3, 4, 4, 4, 2, 3, 2, 7, 1, 2, 4, 7, 6, 5, 4, 4, 4, 2, 5, 4, 5, 3, 3, 5, 4, 4, 6, 6, 1 5, 5, 4, 5, 1, 3, 3, 6, 4, 5, 6, 3, 5, 3, 5, 3, 6, 4, 3, 6, 5, 7, 5, 5, 3, 6, 3, 5, 3, 3, 5, 6, 4, 4, 6, 4, 4, 8, 9, 8, 5, 5, 5, 5, 4, 2, 4, 5, 2, 8, 6, 2, 4, 5, 5, 6, 5, 6, 3, 3, 6, 1, 6, 6, 6, 5, 2, 4, 5, 7, 3, 7, 2, 4, 3, 2, 4, 4, 7, 5, 5, 6, 3, 7, 3, 6, 8, 6, 4, 4, 4, 5, 2, 5, 4, 7, 5, 6, 4, 6, 5, 7, 4, 2, 4, 2, 3, 4, 4, 5, 5, 6, 5, 5, 5, 6, 4, 8, 5, 5, 4, 4, 6, 3, 4, 5, 4, 3, 3, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 3, 1, 4, 6, 2, 4, 3, 4, 4, 7, 3, 5, 5, 5, 6, 6, 3, 5, 5, 6, 5, 6, 5, 7, 4, 3, 4, 5, 4, 6, 4, 5, 4, 2, 6, 5, 6, 4, 6, 6, 4, 5, 1, 3, 3, 4, 2, 5, 6, 5, 5, 7, 3, 4, 4, 6, 5, 4, 4, 6, 4, 5, 4, 5, 6, 2, 6, 6, 5, 7, 7, 2, 5, 4, 2, 5, 4, 7, 5, 5, 3, 4, 5, 3, 5, 4, 4, 6, 5, 6, 6, 4, 3, 5, 2, 2, 6, 6, 3, 4, 6, 6, 5, 3, 7, 4, 4, 5, 5, 5, 3, 4, 5, 2, 5, 4, 5, 3, 5, 4, 4, 6, 3, 4, 5, 4, 4, 4, 7, 3, 4, 4, 5, 5, 2, 2, 2, 4, 2, 6, 2, 4, 6, 5, 4, 4, 4, 5, 4, 5, 6, 3, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 2, 4, 6, 6, 6, 4, 8, 6, 4, 2, 4, 5, 6, 3, 3, 6, 3, 4, 6, 4, 3, 2, 4, 4, 8, 4, 9, 5, 3, 5, 4, 4, 5, 3, 5, 4, 4, 5, 6, 3, 5, 4, 5, 4, 2, 5, 8, 4, 5, 4, 5, 4, 6, 6, 3, 5, 3, 5, 3, 4, 4, 2, 5, 4, 3, 3, 5, 5, 3, 5, 5, 4, 4, 7, 4, 4, 2, 3, 6, 4, 6, 6, 7, 2, 3, 3, 3, 4, 4, 6, 3, 6, 2, 7, 5, 6, 6, 4, 6, 5, 6, 5, 5, 5, 4, 6, 5, 5, 8, 3, 3, 7, 5, 5, 4, 6, 4, 6, 3, 6, 6, 4, 4, 5, 4, 4, 7, 5, 4, 2, 4, 6, 3, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 5, 5, 6, 5, 3, 4, 3, 4, 4, 5, 6, 5, 3, 5, 4, 3, 3, 4, 5, 5, 2, 4, 4, 3, 4, 2, 2, 4, 1, 4, 5, 4, 3, 2, 5, 3, 5, 4, 6, 3, 2, 3, 7, 3, 4, 5, 2, 7, 4, 5, 4, 3, 6, 4, 3, -1 5, 4, 5, 4, 5, 5, 4, 5, 5, 6, 7, 3, 4, 6, 6, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 7, 4, 3, 3, 2, 8, 6, 5, 6, 6, 4, 4, 4, 4, 5, 4, 6, 4, 5, 3, 5, 3, 5, 4, 3, 5, 3, 7, 2, 2, 5, 7, 2, 3, 6, 1, 4, 4, 4, 3, 6, 3, 8, 5, 2, 6, 6, 3, 4, 5, 6, 3, 2, 6, 5, 3, 4, 5, 7, 6, 4, 4, 4, 4, 4, 1, 5, 4, 5, 1, 5, 9, 4, 8, 5, 2, 6, 5, 2, 2, 5, 4, 3, 5, 4, 4, 6, 4, 6, 5, 5, 4, 6, 5, 4, 4, 3, 4, 7, 7, 7, 4, 6, 5, 3, 5, 5, 2, 4, 6, 5, 4, 7, 6, 4, 4, 5, 4, 4, 6, 6, 3, 4, 6, 6, 6, 6, 2, 4, 7, 4, 7, 3, 5, 6, 4, 3, 5, 5, 7, 5, 2, 5, 7, 2, 4, 5, 7, 5, 7, 5, 2, 4, 4, 3, 5, 5, 4, 5, 6, 5, 4, 4, 4, 8, 5, 3, 2, 6, 3, 4, 1, 3, 6, 4, 3, 3, 3, 7, 6, 6, 6, 8, 5, 4, 4, 7, 3, 4, 3, 3, 7, 4, 4, 2, 4, 4, 5, 6, 3, 5, 7, 4, 5, 4, 2, 2, 5, 3, 5, 9, 3, 7, 5, 6, 3, 6, 6, 5, 5, 4, 3, 3, 4, 3, 3, 4, 6, 4, 4, 3, 6, 5, 3, 6, 2, 2, 5, 3, 3, 5, 2, 7, 6, 4, 6, 7, 4, 6, 5, 3, 4, 6, 4, 5, 8, 4, 4, 4, 4, 4, 5, 7, 6, 6, 4, 7, 4, 5, 6, 3, 2, 5, 2, 4, 7, 3, 4, 3, 5, 8, 4, 3, 4, 6, 3, 4, 3, 5, 4, 5, 3, 5, 4, 2, 2, 2, 4, 4, 3, 3, 5, 5, 4, 2, 4, 2, 1, 4, 1, 7, 6, 6, 3, 4, 4, 3, 5, 2, 4, 3, 7, 5, 4, 3, 4, 4, 5, 6, 8, 5, 4, 6, 4, 4, 6, 2, 6, 6, 7, 5, 5, 5, 5, 5, 6, 3, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 6, 4, 6, 6, 5, 4, 6, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 1, 6, 6, 3, 5, 4, 5, 2, 4, 5, 4, 3, 4, 3, 4, 6, 7, 3, 3, 6, 3, 4, 6, 8, 5, 4, 4, 7, 3, 4, 5, 4, 4, 4, 3, 6, 3, 5, 7, 5, 4, 4, 6, 4, 2, 7, 5, 3, 5, 4, 6, 5, 4, 2, 2, 5, 4, 5, 6, 2, 5, 4, 0, 6, 7, 5, 7, 4, 5, 6, 5, 6, 2, 2, 3, 6, 2, 5, 4, 2, 7, 5, 5, 6, 2, 6, 5, 4, 6, 1 5, 3, 2, 3, 4, 4, 5, 5, 3, 6, 5, 5, 5, 4, 3, 4, 6, 5, 2, 7, 6, 7, 6, 5, 5, 4, 1, 7, 1, 2, 5, 8, 2, 5, 5, 6, 1, 6, 4, 3, 4, 2, 7, 3, 3, 3, 5, 6, 6, 3, 4, 4, 6, 2, 4, 8, 5, 4, 3, 5, 3, 5, 4, 2, 7, 4, 3, 3, 6, 6, 3, 6, 5, 3, 3, 4, 4, 4, 3, 7, 5, 5, 6, 3, 3, 6, 5, 3, 5, 6, 7, 4, 5, 5, 4, 1, 3, 4, 5, 4, 6, 5, 2, 4, 4, 4, 5, 5, 4, 5, 6, 5, 7, 6, 5, 5, 5, 1, 5, 4, 6, 5, 5, 3, 6, 6, 6, 5, 4, 5, 4, 3, 6, 6, 2, 3, 5, 4, 5, 5, 4, 7, 4, 3, 5, 6, 1, 6, 3, 6, 5, 4, 6, 6, 5, 3, 5, 6, 5, 6, 4, 3, 4, 4, 4, 1, 6, 3, 4, 7, 2, 3, 7, 4, 4, 5, 4, 5, 4, 3, 3, 6, 3, 4, 3, 4, 5, 3, 4, 5, 7, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 7, 2, 8, 3, 5, 5, 5, 7, 7, 3, 4, 6, 6, 5, 4, 1, 2, 3, 4, 4, 4, 3, 5, 4, 6, 6, 1, 4, 4, 5, 3, 6, 7, 5, 6, 4, 5, 5, 6, 7, 3, 4, 6, 5, 3, 4, 4, 5, 3, 6, 6, 3, 4, 4, 5, 4, 1, 7, 6, 6, 2, 6, 5, 7, 2, 6, 6, 4, 2, 4, 4, 4, 3, 4, 5, 7, 3, 6, 6, 6, 6, 4, 3, 6, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 3, 5, 4, 5, 6, 5, 6, 6, 8, 6, 5, 5, 6, 3, 5, 7, 6, 1, 3, 3, 5, 8, 5, 2, 5, 4, 4, 5, 4, 5, 3, 4, 3, 6, 4, 3, 3, 4, 3, 7, 5, 6, 4, 5, 5, 3, 4, 4, 5, 3, 4, 3, 3, 3, 3, 5, 5, 2, 4, 3, 3, 4, 6, 4, 6, 9, 5, 6, 3, 4, 5, 6, 3, 5, 4, 4, 3, 5, 7, 3, 3, 6, 3, 6, 4, 5, 2, 4, 5, 2, 3, 3, 7, 5, 6, 5, 2, 5, 5, 6, 2, 4, 5, 5, 5, 5, 6, 5, 3, 3, 8, 7, 4, 4, 3, 3, 2, 5, 2, 4, 3, 4, 4, 7, 5, 3, 3, 3, 4, 2, 3, 3, 3, 4, 6, 5, 3, 8, 6, 4, 2, 3, 3, 4, 5, 4, 3, 6, 3, 4, 5, 3, 4, 6, 6, 3, 1, 4, 7, 4, 5, 3, 3, 4, 2, 4, 4, 2, 5, 5, 4, 4, 4, 3, 4, 6, 4, 7, 5, 3, 3, 3, 5, 4, 4, 3, 6, 3, 3, 1, 5, 4, 4, 4, 3, 6, 5, 8, 6, 6, 3, 6, 4, 3, 3, -1 5, 4, 4, 4, 3, 5, 6, 5, 5, 1, 7, 7, 1, 5, 6, 5, 7, 4, 6, 4, 5, 4, 5, 5, 4, 1, 5, 4, 4, 5, 4, 4, 3, 3, 5, 6, 2, 4, 6, 3, 6, 1, 4, 4, 1, 4, 6, 4, 1, 7, 6, 3, 4, 3, 5, 5, 5, 4, 3, 6, 7, 4, 6, 2, 5, 5, 5, 5, 4, 4, 2, 4, 6, 5, 4, 4, 4, 5, 4, 6, 4, 4, 3, 5, 6, 5, 5, 3, 6, 0, 4, 5, 7, 4, 7, 5, 5, 2, 7, 3, 5, 5, 3, 3, 4, 2, 7, 4, 7, 4, 4, 1, 4, 5, 3, 6, 4, 5, 6, 5, 4, 3, 3, 4, 6, 4, 4, 6, 3, 5, 2, 5, 4, 4, 7, 4, 5, 5, 6, 7, 5, 3, 6, 2, 2, 4, 4, 5, 5, 3, 4, 3, 4, 3, 5, 2, 6, 4, 6, 5, 5, 6, 5, 5, 3, 4, 5, 4, 4, 3, 8, 6, 4, 4, 6, 4, 6, 4, 4, 5, 6, 3, 4, 6, 9, 3, 4, 4, 5, 5, 5, 6, 3, 3, 3, 2, 5, 4, 2, 4, 7, 4, 4, 6, 6, 5, 4, 4, 5, 4, 6, 1, 4, 2, 5, 4, 4, 2, 3, 7, 6, 6, 5, 6, 5, 4, 5, 4, 4, 6, 6, 4, 6, 4, 5, 4, 6, 3, 4, 4, 6, 5, 5, 2, 4, 3, 2, 3, 6, 4, 3, 4, 4, 5, 4, 3, 6, 4, 7, 3, 7, 4, 4, 5, 3, 5, 5, 6, 3, 3, 4, 6, 4, 3, 6, 3, 7, 7, 3, 5, 6, 3, 4, 4, 5, 5, 6, 3, 6, 6, 4, 5, 5, 7, 4, 4, 5, 3, 2, 6, 2, 3, 5, 3, 2, 5, 1, 3, 5, 4, 4, 5, 2, 5, 5, 5, 7, 4, 4, 7, 6, 4, 4, 4, 4, 4, 6, 2, 5, 4, 4, 5, 4, 6, 6, 5, 5, 1, 6, 5, 5, 7, 5, 3, 6, 6, 5, 4, 3, 3, 4, 5, 3, 5, 3, 5, 5, 4, 6, 6, 3, 3, 4, 3, 4, 5, 8, 5, 8, 3, 4, 4, 6, 5, 4, 3, 6, 7, 1, 3, 5, 6, 5, 8, 2, 7, 6, 6, 5, 4, 4, 5, 5, 5, 4, 8, 6, 2, 4, 6, 4, 2, 6, 7, 5, 2, 4, 6, 5, 3, 2, 4, 6, 4, 5, 3, 5, 5, 3, 4, 3, 5, 4, 4, 5, 6, 6, 4, 5, 1, 5, 5, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 7, 4, 2, 3, 4, 7, 6, 6, 4, 4, 3, 2, 6, 3, 5, 5, 5, 1, 3, 6, 4, 7, 5, 3, 3, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 6, 4, 5, 5, 6, 2, 4, 6, 4, 5, 4, 4, 7, 5, 2, 3, 6, 4, 5, 4, 6, 1 4, 2, 2, 6, 1, 3, 3, 4, 5, 4, 5, 4, 6, 2, 4, 2, 3, 4, 6, 4, 6, 5, 6, 4, 4, 4, 3, 5, 4, 6, 3, 4, 5, 7, 6, 5, 3, 5, 3, 4, 5, 6, 2, 5, 4, 6, 6, 5, 6, 3, 6, 4, 4, 5, 6, 3, 4, 5, 1, 3, 6, 5, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 2, 6, 3, 6, 5, 3, 4, 7, 2, 5, 5, 5, 3, 6, 6, 6, 4, 4, 3, 4, 4, 2, 4, 1, 4, 5, 6, 5, 6, 5, 4, 5, 4, 5, 6, 4, 3, 2, 7, 5, 5, 4, 3, 3, 5, 2, 3, 5, 5, 4, 4, 2, 4, 5, 6, 8, 6, 3, 6, 6, 7, 5, 3, 5, 4, 3, 4, 4, 5, 3, 4, 5, 4, 7, 9, 7, 4, 6, 5, 7, 5, 6, 5, 5, 4, 3, 3, 4, 5, 6, 5, 5, 6, 6, 2, 5, 5, 6, 6, 3, 7, 7, 7, 2, 4, 5, 2, 5, 5, 4, 4, 5, 5, 4, 5, 5, 6, 5, 4, 3, 5, 3, 4, 5, 5, 3, 6, 5, 5, 9, 2, 4, 5, 4, 3, 3, 5, 1, 5, 7, 6, 4, 4, 6, 3, 3, 7, 5, 6, 5, 6, 4, 5, 5, 4, 8, 6, 3, 7, 5, 5, 4, 3, 5, 4, 3, 5, 3, 6, 6, 4, 3, 5, 3, 4, 4, 4, 5, 4, 3, 4, 2, 3, 4, 7, 2, 6, 4, 6, 5, 5, 3, 3, 4, 3, 3, 7, 5, 5, 2, 4, 4, 4, 5, 7, 6, 4, 6, 6, 5, 7, 4, 6, 6, 3, 4, 3, 4, 8, 1, 5, 3, 3, 1, 5, 2, 4, 4, 5, 4, 8, 6, 4, 5, 4, 7, 5, 2, 6, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5, 6, 4, 4, 7, 5, 6, 5, 1, 3, 6, 4, 5, 3, 4, 5, 5, 2, 4, 5, 6, 2, 4, 2, 2, 4, 4, 4, 5, 3, 5, 3, 3, 4, 5, 3, 4, 3, 5, 4, 8, 6, 5, 6, 4, 6, 3, 8, 4, 7, 5, 3, 6, 4, 5, 4, 3, 3, 6, 5, 5, 5, 9, 3, 6, 4, 4, 5, 5, 5, 3, 5, 6, 4, 4, 4, 3, 1, 4, 5, 1, 5, 5, 4, 3, 4, 8, 1, 7, 2, 3, 3, 5, 5, 7, 3, 3, 5, 4, 4, 5, 7, 4, 7, 3, 4, 4, 3, 3, 7, 4, 6, 4, 6, 5, 5, 5, 3, 5, 3, 3, 3, 6, 6, 6, 6, 4, 4, 4, 8, 7, 3, 5, 4, 5, 3, 5, 5, 3, 3, 4, 1, 6, 4, 4, 5, 4, 4, 5, 3, 4, 2, 6, 6, 6, 4, 4, 5, 5, 5, 4, 3, 5, 6, 4, 6, 6, 6, 4, 7, 5, 5, 6, 0, 4, 3, 1 6, 5, 5, 5, 3, 4, 6, 6, 5, 5, 6, 5, 3, 3, 4, 4, 4, 4, 2, 7, 6, 6, 5, 6, 6, 4, 6, 3, 6, 4, 5, 6, 6, 4, 6, 6, 4, 3, 5, 3, 5, 3, 5, 6, 6, 5, 5, 3, 5, 4, 8, 4, 3, 3, 3, 9, 4, 3, 4, 3, 6, 3, 5, 4, 6, 5, 4, 4, 3, 5, 6, 7, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 7, 2, 3, 4, 4, 5, 5, 5, 5, 6, 4, 5, 2, 7, 5, 7, 3, 4, 4, 5, 6, 3, 5, 3, 5, 3, 4, 4, 2, 8, 2, 6, 4, 4, 3, 6, 4, 4, 4, 3, 4, 7, 5, 3, 4, 3, 6, 4, 5, 5, 4, 7, 5, 3, 3, 6, 4, 5, 6, 5, 3, 6, 3, 6, 4, 6, 5, 6, 5, 5, 2, 2, 6, 6, 4, 4, 6, 6, 4, 6, 5, 5, 7, 5, 5, 7, 5, 6, 8, 7, 6, 4, 4, 5, 1, 4, 4, 4, 4, 2, 3, 3, 6, 5, 5, 4, 3, 5, 5, 1, 3, 5, 3, 4, 5, 6, 3, 5, 5, 3, 4, 4, 5, 6, 4, 3, 4, 3, 5, 3, 6, 4, 4, 3, 6, 5, 5, 6, 4, 4, 6, 5, 6, 6, 2, 3, 4, 2, 6, 2, 5, 4, 5, 6, 5, 5, 6, 5, 7, 5, 5, 9, 3, 3, 3, 4, 3, 2, 4, 5, 5, 3, 8, 6, 5, 3, 5, 3, 2, 1, 1, 2, 6, 3, 4, 4, 5, 3, 5, 4, 4, 6, 6, 5, 2, 6, 6, 5, 4, 6, 3, 6, 4, 5, 5, 5, 2, 5, 3, 5, 6, 4, 3, 6, 3, 5, 6, 4, 7, 3, 6, 3, 5, 6, 3, 3, 4, 4, 4, 4, 6, 4, 7, 6, 4, 5, 5, 3, 3, 5, 5, 5, 3, 4, 6, 4, 2, 5, 5, 3, 5, 4, 3, 5, 4, 4, 0, 4, 6, 3, 3, 5, 4, 4, 4, 4, 4, 4, 1, 6, 4, 5, 5, 5, 4, 6, 4, 5, 5, 4, 5, 6, 4, 7, 5, 4, 5, 4, 3, 5, 3, 4, 5, 5, 3, 5, 4, 6, 5, 1, 5, 3, 6, 2, 6, 7, 3, 5, 3, 4, 5, 5, 4, 3, 4, 4, 6, 3, 5, 4, 6, 3, 5, 5, 5, 4, 6, 6, 2, 4, 3, 4, 5, 4, 8, 6, 2, 4, 7, 5, 4, 4, 4, 5, 6, 2, 4, 6, 6, 5, 7, 4, 6, 3, 5, 8, 2, 3, 2, 0, 6, 2, 5, 5, 6, 6, 6, 4, 4, 6, 5, 6, 4, 5, 5, 4, 2, 5, 3, 3, 6, 4, 4, 4, 4, 4, 2, 4, 5, 5, 7, 5, 6, 5, 7, 4, 3, 6, 6, 2, 4, 6, 4, 5, 7, 2, 4, 4, 6, 5, 5, 3, 5, 2, 1 3, 4, 5, 6, 4, 6, 6, 3, 5, 2, 5, 5, 1, 2, 2, 5, 4, 6, 5, 6, 8, 2, 4, 5, 5, 5, 2, 1, 6, 6, 3, 5, 3, 3, 5, 6, 2, 4, 6, 3, 2, 4, 3, 3, 4, 6, 5, 5, 3, 3, 4, 5, 4, 3, 5, 3, 4, 3, 6, 3, 4, 3, 4, 6, 4, 5, 5, 5, 5, 4, 1, 2, 5, 3, 4, 6, 4, 5, 5, 3, 6, 4, 4, 3, 0, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 6, 5, 6, 6, 5, 3, 3, 3, 6, 4, 4, 4, 4, 2, 5, 4, 4, 6, 5, 4, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 5, 7, 3, 5, 4, 5, 6, 5, 4, 1, 4, 5, 3, 2, 6, 4, 4, 4, 4, 6, 2, 8, 4, 7, 5, 4, 6, 7, 4, 8, 4, 3, 4, 4, 2, 4, 6, 3, 2, 7, 3, 6, 5, 3, 5, 4, 3, 5, 6, 4, 4, 1, 7, 4, 6, 3, 5, 6, 4, 5, 5, 6, 6, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 7, 7, 1, 7, 6, 5, 6, 5, 3, 5, 3, 4, 5, 6, 7, 4, 6, 4, 5, 4, 4, 6, 5, 5, 5, 9, 5, 4, 6, 6, 6, 4, 5, 4, 4, 5, 4, 6, 4, 5, 4, 4, 4, 8, 7, 3, 4, 4, 5, 6, 2, 7, 3, 5, 5, 3, 3, 5, 6, 7, 5, 4, 6, 4, 4, 6, 5, 5, 6, 3, 4, 5, 4, 4, 3, 3, 7, 3, 5, 5, 4, 6, 2, 5, 4, 3, 5, 4, 2, 5, 4, 2, 7, 5, 4, 5, 4, 3, 7, 5, 4, 5, 4, 4, 2, 5, 3, 9, 4, 6, 5, 4, 5, 3, 3, 5, 8, 5, 6, 6, 4, 5, 4, 2, 6, 4, 6, 5, 6, 6, 6, 3, 5, 4, 6, 5, 3, 2, 3, 3, 2, 4, 4, 2, 6, 3, 3, 7, 3, 6, 6, 8, 3, 6, 5, 6, 4, 6, 6, 4, 5, 3, 4, 4, 6, 5, 4, 3, 7, 7, 3, 3, 5, 3, 3, 3, 4, 6, 3, 6, 6, 4, 4, 5, 4, 5, 6, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 3, 7, 3, 3, 5, 5, 3, 4, 4, 2, 2, 5, 3, 4, 3, 3, 5, 6, 4, 7, 4, 5, 3, 2, 4, 5, 2, 5, 6, 5, 5, 7, 4, 6, 5, 5, 5, 4, 2, 4, 3, 5, 5, 6, 5, 5, 6, 3, 7, 2, 2, 4, 7, 5, 6, 4, 5, 4, 2, 5, 3, 3, 4, 5, 4, 7, 5, 4, 4, 4, 4, 6, 4, 2, 7, 5, 2, 6, 6, 4, 4, 5, 4, 2, 4, 4, 6, 4, 6, 4, 5, 7, 2, 4, 6, -1 3, 5, 7, 5, 4, 4, 6, 0, 4, 5, 6, 3, 4, 4, 3, 5, 7, 4, 6, 3, 2, 5, 4, 6, 5, 6, 4, 4, 5, 4, 4, 3, 3, 4, 5, 7, 5, 4, 4, 2, 3, 4, 5, 5, 5, 3, 3, 5, 2, 5, 5, 4, 3, 3, 3, 6, 5, 5, 5, 4, 4, 4, 7, 3, 6, 5, 6, 5, 5, 3, 3, 5, 2, 4, 3, 3, 3, 4, 6, 3, 3, 0, 6, 3, 4, 6, 4, 4, 3, 4, 4, 5, 6, 3, 5, 6, 5, 7, 5, 6, 7, 4, 5, 4, 4, 3, 7, 4, 4, 4, 4, 6, 5, 6, 6, 3, 4, 2, 4, 3, 4, 4, 6, 3, 4, 4, 4, 7, 3, 5, 6, 6, 6, 4, 6, 6, 3, 4, 6, 3, 4, 4, 2, 2, 5, 5, 2, 5, 5, 3, 6, 4, 3, 5, 5, 4, 3, 5, 3, 5, 3, 4, 3, 5, 4, 3, 4, 2, 3, 4, 3, 5, 3, 6, 5, 5, 6, 5, 4, 4, 8, 4, 2, 7, 5, 5, 7, 4, 6, 5, 7, 2, 1, 3, 6, 5, 6, 6, 1, 5, 4, 6, 3, 4, 1, 3, 3, 4, 1, 4, 5, 5, 3, 3, 5, 4, 5, 4, 6, 4, 5, 6, 7, 3, 5, 4, 5, 5, 4, 3, 3, 3, 6, 6, 8, 4, 7, 6, 6, 5, 4, 4, 2, 6, 5, 5, 4, 5, 6, 5, 3, 3, 4, 5, 4, 4, 6, 2, 5, 4, 4, 8, 4, 3, 5, 3, 5, 5, 6, 2, 5, 7, 5, 3, 5, 3, 4, 7, 6, 5, 3, 5, 5, 5, 3, 5, 7, 6, 4, 6, 4, 6, 3, 9, 5, 6, 4, 4, 4, 8, 4, 3, 5, 5, 4, 3, 4, 5, 6, 5, 5, 6, 3, 6, 4, 7, 3, 5, 5, 5, 6, 4, 5, 5, 4, 4, 4, 1, 3, 3, 4, 4, 4, 7, 4, 2, 5, 6, 5, 5, 2, 4, 4, 3, 6, 4, 3, 4, 2, 5, 4, 3, 3, 5, 5, 5, 5, 5, 7, 6, 7, 7, 5, 4, 6, 3, 5, 1, 5, 4, 2, 3, 6, 7, 6, 3, 3, 4, 2, 6, 6, 5, 4, 5, 3, 6, 6, 5, 2, 6, 3, 4, 5, 9, 5, 6, 5, 7, 4, 4, 3, 3, 5, 5, 3, 4, 4, 3, 2, 5, 4, 2, 4, 1, 6, 2, 3, 6, 5, 3, 7, 6, 3, 7, 4, 5, 5, 6, 4, 5, 6, 2, 3, 5, 3, 6, 5, 6, 6, 5, 6, 4, 4, 4, 2, 4, 5, 3, 1, 6, 3, 5, 4, 5, 4, 6, 3, 4, 6, 5, 3, 6, 8, 6, 4, 3, 5, 5, 4, 5, 4, 2, 4, 6, 3, 4, 2, 3, 3, 1, 4, 3, 7, 3, 4, 7, 2, 4, 5, 4, 5, 5, 5, 4, 4, 3, 6, 5, 3, 4, -1 4, 5, 3, 5, 4, 1, 5, 4, 4, 2, 5, 4, 5, 5, 5, 5, 2, 4, 3, 2, 4, 2, 6, 2, 5, 3, 2, 4, 4, 2, 6, 3, 6, 5, 4, 3, 5, 6, 4, 3, 5, 5, 4, 6, 1, 8, 4, 3, 3, 4, 4, 3, 4, 3, 6, 5, 3, 4, 3, 5, 5, 1, 6, 4, 5, 5, 5, 6, 7, 3, 6, 6, 5, 4, 3, 6, 2, 5, 6, 4, 6, 4, 4, 4, 4, 5, 5, 6, 4, 5, 7, 3, 5, 5, 5, 4, 4, 2, 7, 4, 5, 6, 4, 4, 6, 3, 5, 4, 6, 4, 3, 3, 4, 4, 3, 4, 5, 3, 3, 5, 6, 5, 5, 5, 5, 2, 7, 6, 4, 4, 3, 3, 5, 3, 3, 4, 3, 6, 6, 4, 5, 6, 3, 7, 4, 5, 4, 3, 4, 7, 5, 4, 3, 4, 6, 3, 7, 7, 7, 3, 5, 3, 5, 4, 4, 5, 4, 5, 2, 3, 5, 4, 4, 4, 7, 6, 4, 3, 7, 2, 5, 5, 2, 4, 5, 7, 5, 5, 6, 5, 4, 3, 3, 4, 4, 5, 3, 6, 5, 4, 3, 2, 4, 6, 2, 5, 8, 7, 5, 5, 6, 4, 3, 6, 6, 7, 3, 4, 4, 7, 4, 5, 5, 3, 3, 5, 3, 6, 4, 4, 6, 3, 4, 5, 3, 6, 7, 2, 7, 5, 3, 6, 5, 5, 3, 5, 6, 3, 4, 5, 2, 7, 5, 4, 4, 4, 3, 2, 4, 1, 5, 3, 5, 4, 2, 6, 5, 4, 2, 6, 5, 4, 7, 3, 5, 4, 7, 3, 4, 7, 4, 4, 6, 5, 8, 7, 6, 3, 5, 5, 5, 5, 4, 2, 7, 7, 6, 4, 7, 5, 8, 6, 6, 5, 7, 4, 1, 3, 3, 3, 8, 5, 4, 3, 4, 2, 8, 3, 5, 5, 6, 3, 2, 4, 3, 1, 6, 4, 5, 4, 4, 5, 7, 6, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 7, 7, 7, 7, 5, 5, 4, 7, 4, 5, 4, 6, 2, 3, 3, 5, 6, 4, 1, 4, 4, 4, 4, 3, 6, 4, 3, 6, 4, 2, 5, 8, 7, 3, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 2, 7, 4, 4, 5, 5, 4, 7, 4, 5, 5, 5, 3, 7, 5, 6, 5, 5, 5, 7, 4, 4, 2, 3, 6, 5, 6, 3, 4, 6, 6, 3, 3, 8, 2, 4, 2, 4, 5, 2, 5, 5, 3, 5, 6, 4, 6, 4, 3, 5, 2, 5, 4, 5, 4, 4, 3, 2, 5, 4, 4, 7, 4, 4, 4, 3, 6, 6, 3, 5, 6, 5, 4, 1, 5, 4, 6, 4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 3, 6, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, -1 6, 5, 5, 4, 3, 6, 6, 3, 5, 4, 4, 6, 4, 4, 1, 4, 3, 4, 4, 6, 5, 7, 5, 5, 5, 2, 1, 6, 6, 4, 5, 4, 3, 2, 8, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 6, 5, 3, 6, 4, 4, 6, 4, 9, 6, 4, 6, 5, 5, 4, 6, 1, 5, 6, 1, 4, 4, 2, 5, 6, 7, 5, 6, 5, 7, 4, 3, 2, 5, 4, 5, 3, 4, 3, 5, 6, 6, 4, 3, 7, 5, 4, 4, 4, 4, 5, 3, 4, 3, 6, 5, 6, 3, 6, 3, 4, 2, 4, 4, 5, 5, 7, 4, 3, 6, 3, 4, 5, 4, 2, 4, 4, 5, 5, 8, 4, 6, 3, 6, 3, 3, 6, 6, 4, 4, 4, 5, 6, 5, 7, 6, 5, 3, 4, 6, 3, 6, 5, 5, 6, 4, 6, 4, 5, 3, 6, 5, 5, 4, 4, 8, 7, 5, 4, 3, 4, 2, 2, 7, 5, 5, 6, 6, 1, 5, 4, 4, 3, 5, 3, 5, 2, 4, 3, 1, 4, 8, 5, 3, 4, 4, 3, 4, 5, 3, 3, 3, 6, 8, 8, 0, 3, 6, 7, 5, 4, 6, 5, 6, 4, 4, 7, 6, 6, 5, 5, 3, 3, 5, 6, 3, 3, 4, 4, 5, 2, 4, 6, 7, 5, 4, 7, 5, 3, 5, 4, 3, 3, 4, 7, 4, 4, 5, 5, 7, 7, 4, 5, 4, 3, 6, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 6, 5, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 2, 6, 7, 2, 2, 4, 5, 5, 8, 5, 5, 3, 5, 3, 4, 3, 4, 5, 6, 5, 4, 3, 4, 6, 1, 5, 4, 4, 3, 5, 5, 4, 5, 4, 6, 5, 3, 4, 7, 1, 4, 4, 6, 6, 6, 5, 5, 6, 5, 3, 4, 4, 7, 2, 3, 5, 8, 3, 4, 5, 6, 5, 5, 6, 4, 6, 6, 4, 3, 7, 5, 5, 5, 3, 4, 2, 5, 6, 5, 3, 3, 4, 3, 5, 4, 2, 4, 5, 5, 4, 7, 5, 6, 2, 4, 4, 2, 6, 6, 6, 5, 6, 2, 4, 4, 5, 4, 8, 5, 4, 4, 4, 2, 5, 4, 7, 3, 2, 1, 5, 4, 4, 5, 8, 3, 8, 6, 4, 5, 6, 4, 4, 4, 6, 5, 2, 5, 4, 2, 3, 2, 6, 5, 1, 6, 5, 6, 4, 2, 7, 5, 5, 3, 2, 7, 4, 5, 4, 9, 5, 5, 3, 3, 4, 5, 3, 4, 3, 3, 3, 5, 2, 6, 7, 6, 6, 4, 3, 5, 7, 5, 2, 6, 2, 3, 6, 3, 2, 4, 2, 4, 3, 3, 6, 5, 1, 4, 3, 6, 3, 7, 5, 3, 3, 4, 2, 3, 4, 5, 4, 6, 5, 6, 3, 4, 4, 7, 3, 6, 5, 2, 4, 6, 2, -1 7, 4, 5, 5, 4, 2, 5, 8, 4, 9, 6, 4, 6, 4, 4, 9, 7, 5, 5, 5, 4, 5, 3, 3, 5, 5, 3, 1, 6, 5, 5, 7, 4, 4, 5, 4, 4, 4, 4, 4, 6, 2, 3, 5, 2, 3, 5, 7, 5, 5, 6, 4, 6, 4, 3, 4, 4, 6, 4, 4, 6, 5, 6, 5, 4, 4, 3, 7, 7, 5, 6, 7, 2, 5, 5, 6, 4, 5, 5, 4, 5, 3, 5, 5, 6, 4, 2, 2, 6, 5, 2, 5, 6, 5, 5, 4, 3, 7, 4, 7, 5, 7, 3, 4, 4, 6, 6, 3, 4, 4, 2, 6, 6, 5, 4, 4, 4, 5, 4, 6, 4, 4, 5, 2, 4, 6, 5, 5, 7, 6, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 5, 3, 6, 6, 7, 4, 6, 5, 5, 5, 8, 2, 3, 7, 5, 2, 3, 3, 4, 7, 8, 6, 3, 6, 5, 5, 5, 4, 3, 5, 5, 8, 4, 2, 5, 4, 3, 6, 4, 0, 5, 5, 3, 5, 6, 3, 3, 5, 6, 2, 3, 4, 5, 3, 5, 6, 4, 3, 2, 3, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 4, 6, 5, 5, 4, 5, 4, 2, 4, 3, 7, 5, 3, 4, 4, 3, 5, 6, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 6, 5, 2, 3, 6, 6, 5, 6, 2, 3, 6, 3, 6, 4, 6, 2, 6, 4, 3, 4, 4, 4, 5, 4, 3, 4, 6, 4, 7, 2, 4, 3, 4, 4, 6, 6, 2, 5, 3, 4, 3, 5, 5, 2, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 6, 4, 5, 5, 4, 4, 6, 5, 2, 5, 5, 6, 5, 4, 4, 8, 5, 3, 5, 3, 6, 5, 5, 5, 4, 6, 5, 3, 5, 3, 3, 5, 3, 5, 4, 4, 5, 5, 3, 5, 3, 2, 2, 6, 5, 3, 4, 6, 5, 4, 6, 6, 5, 2, 5, 5, 3, 4, 4, 4, 6, 4, 4, 6, 5, 2, 4, 4, 4, 4, 5, 5, 3, 6, 7, 4, 4, 6, 5, 4, 5, 3, 2, 3, 4, 6, 6, 7, 2, 5, 6, 7, 6, 7, 5, 5, 2, 2, 4, 3, 5, 5, 5, 5, 6, 6, 3, 5, 5, 4, 4, 6, 5, 3, 4, 4, 3, 3, 5, 6, 4, 4, 4, 5, 4, 4, 3, 6, 5, 6, 4, 5, 4, 6, 4, 5, 7, 3, 3, 3, 5, 5, 4, 6, 4, 6, 6, 4, 5, 4, 4, 1, 5, 6, 1, 7, 6, 2, 5, 4, 6, 3, 5, 7, 5, 7, 4, 4, 5, 2, 2, 5, 6, 3, 4, 7, 5, 4, 5, 6, 5, 6, 5, 6, 5, 6, 2, 5, 5, 4, 5, 4, 4, 3, 6, 6, 3, 5, 7, 6, 3, 3, -1 4, 5, 4, 3, 3, 2, 4, 4, 2, 6, 1, 3, 6, 5, 6, 4, 6, 4, 6, 4, 5, 5, 4, 6, 7, 4, 5, 3, 7, 5, 3, 4, 4, 6, 5, 4, 5, 5, 5, 6, 6, 5, 4, 4, 3, 9, 4, 4, 7, 6, 7, 8, 6, 2, 8, 4, 5, 6, 5, 2, 4, 6, 4, 4, 5, 4, 4, 4, 5, 5, 3, 7, 4, 4, 6, 2, 5, 6, 7, 1, 5, 4, 3, 3, 5, 2, 4, 4, 4, 3, 4, 5, 5, 4, 2, 2, 4, 4, 3, 5, 4, 4, 2, 6, 5, 6, 5, 3, 5, 6, 5, 5, 5, 6, 6, 5, 4, 2, 5, 3, 5, 2, 4, 5, 6, 4, 5, 5, 6, 6, 6, 5, 5, 6, 3, 6, 4, 5, 6, 4, 4, 2, 6, 1, 3, 5, 3, 4, 3, 6, 4, 6, 5, 6, 3, 2, 6, 5, 4, 4, 4, 4, 3, 5, 3, 2, 5, 4, 2, 3, 3, 4, 4, 3, 6, 3, 6, 5, 5, 4, 6, 7, 1, 5, 7, 5, 7, 4, 5, 5, 7, 4, 5, 4, 5, 3, 5, 4, 7, 4, 6, 6, 6, 3, 3, 3, 5, 6, 3, 4, 3, 5, 3, 5, 5, 3, 3, 4, 4, 3, 4, 2, 1, 4, 4, 7, 3, 5, 6, 5, 6, 3, 5, 4, 2, 3, 5, 5, 6, 3, 4, 8, 2, 4, 6, 5, 6, 6, 5, 4, 4, 7, 4, 4, 4, 3, 5, 4, 4, 4, 6, 4, 7, 6, 2, 4, 6, 4, 2, 2, 6, 5, 4, 3, 7, 5, 4, 5, 4, 4, 4, 6, 4, 4, 5, 4, 4, 4, 1, 2, 5, 5, 6, 2, 3, 5, 3, 2, 4, 3, 4, 4, 7, 8, 6, 5, 5, 5, 5, 4, 7, 5, 2, 7, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 6, 5, 5, 7, 8, 3, 2, 5, 4, 3, 4, 4, 4, 3, 2, 5, 3, 5, 4, 4, 4, 2, 5, 3, 5, 5, 7, 4, 6, 4, 4, 6, 3, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 4, 5, 5, 5, 5, 7, 5, 3, 4, 7, 6, 7, 2, 6, 4, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 4, 5, 6, 4, 4, 6, 7, 5, 4, 6, 8, 3, 8, 5, 3, 8, 5, 4, 4, 8, 8, 5, 6, 3, 2, 3, 4, 6, 4, 5, 5, 7, 3, 4, 4, 5, 6, 4, 5, 6, 5, 5, 4, 5, 5, 0, 6, 3, 5, 5, 3, 6, 6, 4, 6, 5, 3, 3, 7, 7, 0, 2, 7, 4, 4, 4, 3, 3, 2, 5, 4, 5, 6, 2, 4, 0, 4, 4, 8, 4, 5, 6, 3, 4, 2, 4, 3, 2, 4, 4, 2, 4, 3, 6, 5, 6, 2, 2, 5, 4, 4, 6, 6, 1 7, 4, 3, 1, 4, 4, 4, 5, 6, 5, 3, 4, 3, 6, 2, 4, 4, 7, 2, 2, 6, 5, 5, 4, 6, 6, 4, 4, 5, 5, 5, 4, 4, 5, 7, 5, 5, 4, 6, 6, 5, 3, 6, 7, 6, 6, 5, 4, 2, 4, 5, 4, 4, 4, 8, 6, 5, 3, 5, 6, 6, 7, 6, 4, 3, 6, 4, 5, 6, 4, 4, 5, 3, 6, 6, 4, 1, 2, 7, 4, 3, 5, 5, 2, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 6, 3, 2, 3, 2, 5, 6, 4, 3, 4, 4, 6, 3, 7, 6, 5, 7, 6, 5, 6, 5, 6, 1, 7, 3, 3, 3, 4, 3, 6, 6, 4, 5, 4, 3, 4, 5, 3, 5, 4, 3, 6, 5, 5, 3, 3, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 6, 2, 6, 4, 5, 5, 2, 4, 4, 2, 2, 4, 5, 3, 5, 6, 4, 2, 6, 4, 3, 6, 6, 6, 5, 6, 4, 3, 6, 4, 4, 3, 3, 5, 7, 5, 5, 6, 6, 5, 3, 5, 5, 3, 7, 5, 5, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 5, 4, 5, 7, 7, 4, 8, 7, 3, 6, 5, 6, 3, 4, 3, 6, 6, 3, 6, 4, 5, 6, 4, 3, 7, 6, 4, 3, 6, 5, 8, 7, 2, 2, 6, 3, 6, 2, 5, 4, 4, 7, 4, 5, 3, 5, 5, 4, 4, 5, 5, 7, 5, 5, 3, 3, 7, 6, 1, 6, 5, 1, 7, 4, 6, 3, 7, 4, 6, 5, 5, 2, 4, 9, 4, 6, 5, 3, 6, 6, 5, 4, 4, 4, 5, 4, 6, 4, 3, 6, 4, 5, 4, 5, 5, 4, 5, 7, 4, 5, 5, 6, 4, 2, 5, 4, 3, 5, 5, 7, 3, 3, 3, 5, 6, 3, 7, 3, 3, 2, 6, 6, 2, 5, 3, 1, 2, 2, 5, 4, 5, 6, 4, 5, 4, 4, 6, 5, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 2, 6, 3, 4, 3, 7, 4, 4, 6, 6, 5, 3, 4, 3, 4, 4, 5, 3, 2, 2, 4, 4, 3, 2, 8, 5, 4, 6, 4, 4, 4, 5, 5, 4, 4, 2, 7, 3, 2, 5, 6, 5, 5, 5, 3, 1, 6, 7, 3, 6, 8, 2, 4, 3, 4, 4, 6, 6, 5, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4, 4, 7, 3, 3, 3, 5, 3, 5, 3, 6, 5, 5, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 2, 3, 7, 5, 4, 3, 5, 4, 5, 6, 4, 3, 6, 2, 5, 4, 2, 7, 0, 4, 4, 4, 4, 7, 2, 6, 7, 4, 3, 4, 6, 5, 4, 3, 5, 6, 3, 4, 6, 2, 7, 2, 4, 4, 7, 5, 5, 3, 1 4, 3, 6, 3, 4, 5, 5, 2, 5, 5, 4, 4, 2, 3, 6, 6, 4, 4, 2, 4, 4, 3, 5, 6, 3, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 2, 4, 2, 3, 4, 6, 3, 5, 1, 7, 4, 7, 4, 5, 5, 6, 4, 4, 3, 6, 6, 6, 2, 3, 4, 4, 1, 2, 4, 3, 3, 3, 3, 5, 5, 3, 4, 5, 3, 3, 6, 4, 6, 4, 4, 3, 3, 5, 3, 2, 7, 5, 4, 6, 5, 4, 5, 4, 5, 4, 6, 7, 4, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4, 8, 5, 4, 6, 7, 5, 2, 6, 6, 3, 5, 3, 3, 6, 3, 6, 4, 4, 4, 5, 6, 4, 4, 3, 3, 6, 6, 5, 5, 4, 2, 1, 4, 7, 7, 5, 4, 5, 3, 5, 2, 4, 6, 7, 6, 2, 4, 2, 4, 4, 7, 7, 6, 3, 3, 2, 4, 0, 5, 5, 2, 5, 2, 6, 4, 6, 3, 5, 4, 6, 7, 4, 5, 2, 5, 4, 5, 5, 6, 3, 7, 6, 6, 3, 5, 4, 4, 6, 3, 3, 4, 3, 4, 7, 3, 7, 5, 4, 4, 5, 3, 5, 3, 5, 3, 3, 4, 5, 2, 0, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 4, 6, 6, 3, 7, 8, 7, 4, 2, 6, 5, 6, 5, 6, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 3, 1, 5, 6, 5, 4, 6, 4, 3, 3, 6, 0, 3, 4, 3, 3, 2, 4, 7, 5, 4, 2, 4, 4, 5, 4, 3, 3, 2, 4, 7, 4, 4, 6, 7, 6, 5, 4, 5, 2, 5, 5, 4, 3, 6, 4, 5, 4, 5, 5, 4, 5, 2, 4, 5, 4, 6, 5, 4, 4, 6, 6, 5, 6, 4, 6, 4, 7, 4, 2, 4, 4, 2, 6, 3, 4, 3, 4, 5, 4, 4, 6, 5, 4, 5, 5, 5, 6, 5, 5, 4, 4, 6, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 6, 5, 4, 5, 5, 3, 3, 3, 5, 7, 4, 5, 6, 4, 3, 3, 5, 3, 4, 5, 6, 2, 1, 6, 6, 6, 3, 4, 3, 5, 5, 5, 4, 6, 6, 5, 4, 5, 5, 5, 4, 4, 5, 7, 6, 3, 5, 5, 1, 3, 5, 4, 5, 2, 9, 6, 3, 4, 4, 4, 6, 3, 3, 5, 6, 2, 6, 2, 5, 5, 5, 6, 4, 7, 4, 2, 5, 6, 4, 4, 6, 3, 3, 5, 3, 4, 4, 4, 7, 4, 6, 6, 2, 5, 5, 4, 5, 4, 2, 4, 4, 3, 2, 5, 4, 6, 5, 5, 4, 6, 4, 6, 3, 3, 3, 3, 7, 5, 3, 5, 7, 4, 4, 3, 3, 4, 1, 4, 5, 6, 4, 4, 5, 5, -1 6, 7, 4, 2, 2, 2, 3, 6, 4, 4, 4, 5, 5, 5, 6, 6, 3, 8, 6, 4, 4, 4, 8, 6, 6, 3, 2, 6, 6, 5, 4, 2, 4, 2, 5, 6, 4, 4, 4, 4, 5, 5, 3, 4, 2, 5, 3, 3, 3, 3, 4, 6, 3, 5, 3, 7, 6, 4, 5, 4, 4, 5, 2, 4, 4, 4, 7, 4, 5, 4, 6, 7, 4, 6, 3, 5, 2, 1, 4, 2, 6, 5, 3, 2, 5, 6, 5, 5, 4, 3, 4, 6, 7, 4, 5, 4, 3, 4, 6, 4, 7, 6, 5, 2, 3, 5, 4, 6, 3, 5, 3, 5, 6, 4, 5, 3, 4, 5, 4, 4, 3, 2, 6, 2, 4, 5, 5, 6, 6, 4, 6, 6, 6, 6, 3, 3, 5, 3, 3, 7, 6, 5, 5, 2, 5, 4, 4, 4, 6, 5, 7, 5, 6, 6, 6, 6, 7, 3, 3, 5, 4, 4, 7, 6, 5, 4, 4, 3, 6, 2, 3, 3, 5, 4, 5, 6, 8, 3, 6, 2, 5, 3, 3, 6, 6, 3, 6, 7, 5, 7, 6, 4, 3, 4, 4, 5, 3, 5, 4, 7, 2, 6, 3, 6, 3, 6, 5, 3, 6, 5, 6, 7, 4, 4, 5, 4, 2, 2, 5, 3, 9, 6, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 6, 5, 4, 3, 5, 5, 6, 5, 4, 3, 7, 3, 6, 5, 3, 4, 8, 7, 5, 4, 5, 3, 3, 5, 2, 5, 5, 5, 4, 6, 7, 4, 2, 4, 4, 3, 5, 4, 4, 5, 3, 6, 6, 4, 4, 5, 4, 5, 6, 5, 3, 4, 6, 3, 6, 2, 5, 7, 2, 4, 5, 3, 5, 4, 3, 4, 3, 4, 7, 8, 5, 6, 4, 4, 5, 5, 5, 5, 6, 4, 6, 5, 4, 4, 4, 6, 4, 4, 0, 6, 5, 4, 4, 4, 5, 6, 3, 4, 1, 5, 4, 3, 8, 4, 7, 3, 5, 2, 2, 6, 4, 4, 5, 4, 6, 6, 5, 5, 5, 5, 9, 5, 5, 3, 3, 4, 4, 6, 2, 4, 4, 5, 4, 4, 4, 6, 3, 3, 3, 6, 2, 6, 3, 4, 5, 3, 3, 3, 4, 2, 5, 5, 3, 4, 5, 7, 5, 5, 6, 5, 5, 4, 7, 6, 5, 6, 3, 3, 5, 6, 4, 3, 4, 6, 7, 4, 6, 2, 4, 3, 4, 4, 2, 5, 2, 7, 7, 6, 4, 2, 4, 3, 5, 4, 3, 4, 4, 5, 4, 2, 6, 6, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 6, 6, 6, 5, 5, 7, 5, 3, 5, 3, 5, 5, 2, 4, 5, 3, 6, 4, 6, 5, 4, 3, 4, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 3, 6, 4, 5, 6, 4, 5, 4, 5, 5, 5, 6, 5, 4, 5, 5, 4, 4, -1 5, 4, 2, 4, 4, 4, 5, 4, 6, 3, 5, 3, 2, 3, 2, 5, 4, 5, 4, 6, 7, 2, 5, 3, 3, 8, 3, 4, 2, 3, 5, 3, 5, 5, 5, 3, 6, 4, 4, 5, 3, 5, 5, 4, 2, 7, 6, 5, 7, 4, 4, 3, 4, 3, 6, 7, 6, 4, 4, 4, 6, 6, 3, 6, 4, 3, 5, 6, 4, 4, 4, 5, 4, 5, 5, 2, 5, 3, 8, 4, 5, 5, 5, 4, 4, 6, 5, 4, 3, 4, 4, 2, 5, 6, 1, 5, 6, 2, 5, 2, 7, 3, 3, 3, 3, 4, 5, 4, 3, 6, 2, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 6, 5, 4, 6, 5, 5, 5, 7, 6, 5, 4, 5, 3, 6, 5, 4, 6, 4, 4, 5, 2, 4, 4, 4, 3, 3, 7, 5, 4, 6, 2, 5, 3, 3, 3, 3, 6, 4, 4, 5, 5, 4, 5, 6, 7, 4, 7, 4, 7, 7, 3, 9, 5, 6, 5, 3, 3, 3, 5, 3, 6, 4, 3, 6, 3, 5, 5, 5, 1, 4, 4, 3, 5, 4, 6, 4, 4, 6, 4, 4, 5, 3, 4, 5, 7, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 2, 4, 9, 4, 4, 4, 5, 6, 5, 4, 3, 4, 3, 7, 4, 4, 3, 6, 4, 6, 7, 6, 6, 4, 6, 4, 5, 4, 3, 6, 3, 5, 3, 2, 4, 4, 5, 5, 6, 3, 5, 4, 4, 5, 6, 5, 4, 2, 6, 4, 4, 3, 5, 6, 3, 7, 4, 2, 4, 4, 5, 2, 2, 6, 4, 4, 4, 4, 3, 3, 4, 4, 6, 7, 4, 5, 4, 4, 2, 4, 6, 5, 4, 4, 2, 4, 7, 5, 5, 2, 5, 4, 5, 6, 1, 5, 1, 7, 2, 2, 4, 4, 4, 4, 4, 3, 4, 5, 2, 3, 5, 4, 5, 5, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 2, 5, 6, 4, 5, 5, 2, 4, 2, 7, 5, 4, 7, 5, 1, 4, 5, 4, 2, 3, 2, 1, 3, 3, 4, 6, 3, 6, 2, 4, 6, 6, 5, 6, 4, 5, 4, 2, 5, 2, 3, 5, 2, 6, 5, 4, 6, 4, 4, 6, 7, 2, 5, 6, 5, 5, 4, 3, 4, 3, 4, 4, 7, 5, 6, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 7, 3, 5, 3, 3, 0, 4, 5, 3, 6, 6, 7, 6, 8, 4, 4, 6, 3, 6, 5, 3, 2, 3, 4, 2, 5, 3, 1, 4, 2, 3, 5, 5, 5, 3, 5, 5, 6, 4, 4, 7, 1, 6, 6, 3, 6, 4, 3, 4, 3, 7, 5, 6, 5, 5, 3, 5, 3, 4, 5, 6, 3, 3, 3, 3, 3, 4, 4, 5, 5, -1 4, 4, 5, 4, 4, 3, 6, 6, 7, 3, 4, 3, 5, 5, 4, 4, 5, 5, 8, 5, 5, 7, 6, 3, 4, 4, 2, 4, 3, 2, 6, 4, 3, 3, 5, 4, 4, 4, 4, 2, 1, 4, 6, 6, 6, 7, 3, 4, 3, 5, 8, 3, 4, 6, 3, 4, 5, 4, 6, 6, 6, 2, 4, 3, 2, 4, 6, 5, 5, 4, 3, 4, 4, 4, 3, 5, 3, 6, 6, 5, 5, 2, 2, 5, 6, 6, 4, 3, 5, 3, 4, 6, 6, 6, 7, 5, 3, 4, 5, 3, 5, 5, 6, 6, 3, 5, 5, 4, 2, 5, 3, 6, 4, 4, 5, 3, 7, 3, 5, 8, 6, 3, 6, 5, 5, 3, 5, 5, 5, 6, 3, 2, 7, 5, 5, 4, 2, 6, 5, 5, 5, 3, 6, 4, 2, 3, 5, 2, 3, 6, 6, 4, 5, 3, 7, 3, 5, 4, 6, 5, 3, 6, 2, 4, 5, 5, 7, 2, 4, 2, 5, 4, 6, 3, 6, 6, 4, 8, 6, 4, 4, 4, 5, 6, 3, 4, 6, 7, 6, 4, 4, 5, 3, 5, 0, 6, 3, 4, 5, 4, 4, 6, 6, 8, 1, 5, 3, 9, 7, 5, 3, 5, 6, 5, 4, 7, 3, 6, 4, 5, 6, 5, 2, 5, 5, 5, 5, 3, 8, 4, 8, 3, 5, 5, 6, 6, 4, 4, 2, 6, 4, 7, 4, 5, 4, 5, 5, 4, 5, 4, 7, 6, 3, 4, 4, 2, 3, 3, 5, 3, 7, 3, 4, 4, 7, 4, 3, 5, 3, 3, 4, 5, 5, 3, 6, 6, 7, 6, 8, 6, 3, 3, 3, 4, 7, 4, 5, 4, 5, 7, 5, 5, 4, 4, 3, 2, 8, 2, 4, 2, 4, 5, 5, 4, 7, 6, 4, 6, 5, 7, 5, 6, 3, 5, 5, 2, 6, 1, 4, 6, 7, 6, 2, 4, 4, 5, 6, 5, 2, 4, 4, 6, 2, 4, 3, 4, 1, 3, 4, 5, 5, 4, 7, 6, 7, 5, 5, 6, 5, 6, 3, 5, 5, 5, 5, 5, 4, 6, 5, 3, 8, 4, 4, 6, 4, 2, 5, 3, 4, 6, 2, 4, 4, 5, 4, 4, 6, 4, 3, 4, 2, 5, 2, 5, 4, 7, 8, 2, 6, 4, 8, 4, 4, 6, 4, 7, 4, 7, 5, 3, 4, 4, 6, 4, 3, 1, 5, 5, 4, 5, 5, 4, 4, 4, 2, 2, 3, 5, 5, 5, 7, 4, 3, 4, 7, 5, 5, 5, 5, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 6, 5, 6, 6, 4, 4, 7, 5, 3, 5, 5, 3, 6, 4, 5, 3, 5, 3, 6, 3, 3, 2, 6, 4, 8, 3, 5, 2, 6, 3, 3, 7, 5, 6, 4, 6, 5, 4, 4, 3, 4, 6, 4, 5, 6, 3, 5, 7, 4, 5, 5, 4, 6, 3, 3, 5, 4, 5, 4, 4, -1 3, 3, 2, 3, 2, 6, 6, 6, 4, 5, 4, 4, 4, 6, 5, 5, 0, 6, 5, 6, 7, 6, 3, 6, 5, 5, 4, 4, 6, 5, 6, 4, 4, 7, 6, 5, 4, 5, 5, 5, 7, 2, 4, 5, 5, 6, 7, 5, 8, 5, 3, 3, 3, 4, 3, 5, 5, 5, 4, 2, 3, 6, 3, 6, 5, 3, 6, 5, 5, 5, 6, 2, 3, 3, 2, 4, 4, 5, 3, 4, 3, 5, 2, 5, 4, 6, 4, 6, 5, 6, 7, 2, 6, 4, 4, 4, 3, 2, 3, 5, 3, 4, 5, 5, 4, 6, 6, 5, 4, 5, 4, 5, 4, 4, 5, 6, 4, 4, 4, 6, 3, 6, 4, 3, 5, 4, 1, 3, 7, 7, 3, 5, 4, 4, 6, 5, 3, 4, 5, 4, 5, 5, 3, 6, 3, 5, 3, 3, 6, 5, 5, 6, 5, 7, 7, 3, 4, 5, 3, 5, 5, 4, 4, 5, 4, 3, 6, 5, 6, 4, 3, 4, 6, 3, 7, 2, 4, 5, 3, 3, 4, 5, 5, 2, 4, 2, 4, 7, 5, 4, 6, 3, 2, 4, 5, 3, 5, 4, 4, 5, 4, 3, 6, 5, 3, 6, 5, 4, 4, 6, 2, 4, 5, 6, 3, 7, 4, 2, 4, 5, 6, 4, 5, 5, 3, 2, 4, 5, 3, 5, 4, 3, 4, 5, 3, 5, 2, 7, 6, 3, 4, 9, 4, 5, 6, 6, 7, 2, 6, 4, 6, 6, 2, 6, 4, 4, 4, 6, 6, 3, 5, 4, 3, 2, 2, 6, 4, 4, 6, 6, 6, 4, 5, 1, 6, 4, 4, 4, 4, 4, 3, 6, 4, 5, 5, 6, 6, 4, 4, 6, 6, 3, 5, 3, 7, 5, 5, 4, 3, 5, 7, 7, 2, 1, 6, 7, 6, 4, 5, 5, 6, 5, 5, 3, 5, 2, 6, 6, 6, 6, 5, 6, 2, 4, 3, 4, 7, 6, 1, 4, 6, 6, 4, 5, 3, 2, 4, 5, 1, 7, 5, 5, 7, 4, 4, 4, 4, 5, 3, 5, 2, 5, 3, 4, 5, 6, 3, 5, 4, 4, 6, 6, 4, 3, 5, 7, 4, 6, 5, 7, 4, 3, 4, 3, 6, 5, 3, 6, 9, 3, 3, 2, 5, 6, 5, 4, 5, 2, 5, 4, 7, 4, 3, 5, 3, 5, 5, 5, 4, 6, 3, 6, 6, 7, 3, 3, 6, 7, 4, 7, 4, 2, 5, 6, 3, 4, 2, 7, 5, 6, 3, 6, 6, 4, 3, 5, 4, 3, 4, 4, 5, 3, 6, 7, 3, 6, 2, 4, 4, 5, 2, 3, 0, 4, 4, 6, 3, 4, 3, 5, 4, 6, 3, 3, 5, 8, 3, 5, 5, 3, 2, 3, 5, 3, 4, 5, 6, 4, 3, 2, 6, 4, 0, 7, 1, 8, 6, 4, 4, 4, 4, 5, 6, 3, 5, 4, 6, 5, 2, 3, 5, 4, 5, 3, 3, 5, 5, 3, 4, 4, 1 3, 5, 5, 5, 5, 3, 4, 4, 6, 5, 5, 6, 4, 3, 4, 5, 4, 5, 2, 6, 7, 5, 5, 5, 5, 7, 3, 8, 8, 3, 3, 3, 5, 4, 4, 5, 4, 3, 4, 5, 4, 3, 6, 7, 6, 4, 3, 5, 3, 5, 3, 5, 5, 6, 6, 4, 4, 5, 6, 6, 6, 4, 4, 5, 4, 4, 4, 7, 5, 5, 2, 3, 5, 3, 5, 6, 3, 4, 5, 6, 2, 3, 4, 4, 5, 5, 4, 3, 4, 4, 7, 7, 6, 2, 3, 6, 5, 2, 2, 4, 5, 2, 4, 2, 3, 5, 6, 5, 5, 4, 5, 6, 4, 7, 4, 5, 4, 7, 5, 6, 3, 5, 4, 4, 5, 5, 3, 8, 5, 6, 4, 3, 6, 5, 7, 4, 7, 5, 4, 4, 4, 4, 8, 7, 4, 6, 5, 8, 4, 6, 6, 5, 8, 6, 8, 5, 5, 6, 2, 3, 3, 6, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 5, 2, 4, 5, 6, 7, 6, 4, 3, 5, 5, 3, 4, 6, 6, 5, 5, 5, 7, 4, 3, 5, 4, 5, 2, 4, 4, 4, 2, 3, 3, 4, 6, 4, 5, 4, 3, 4, 7, 3, 4, 7, 6, 4, 2, 3, 4, 4, 7, 4, 3, 3, 4, 5, 6, 5, 6, 4, 4, 4, 4, 4, 4, 7, 4, 2, 3, 7, 3, 5, 6, 4, 2, 5, 2, 4, 4, 5, 5, 5, 3, 5, 3, 3, 5, 2, 4, 3, 3, 5, 4, 6, 4, 5, 8, 3, 4, 5, 5, 4, 6, 3, 6, 5, 4, 6, 7, 6, 2, 5, 6, 3, 6, 5, 5, 4, 6, 3, 4, 2, 5, 5, 2, 5, 4, 3, 4, 7, 6, 4, 6, 3, 8, 6, 4, 4, 5, 6, 2, 4, 6, 5, 3, 4, 3, 4, 7, 4, 7, 6, 2, 2, 3, 7, 7, 2, 3, 4, 5, 3, 2, 4, 3, 3, 4, 7, 2, 4, 5, 4, 2, 4, 4, 6, 3, 2, 5, 3, 3, 4, 5, 6, 6, 3, 5, 3, 7, 4, 3, 5, 6, 0, 3, 2, 5, 4, 5, 4, 5, 6, 4, 7, 1, 3, 2, 3, 3, 3, 3, 3, 3, 3, 5, 4, 0, 4, 4, 4, 6, 8, 4, 5, 7, 5, 5, 4, 7, 3, 6, 5, 7, 5, 3, 4, 7, 5, 5, 5, 6, 1, 6, 5, 5, 5, 2, 3, 4, 5, 6, 3, 5, 4, 4, 4, 3, 3, 2, 4, 5, 3, 5, 6, 4, 4, 3, 3, 5, 5, 2, 5, 2, 4, 3, 5, 3, 5, 4, 4, 2, 7, 4, 4, 6, 5, 4, 8, 2, 6, 3, 5, 3, 6, 3, 3, 3, 5, 3, 4, 4, 4, 2, 5, 4, 5, 8, 7, 5, 5, 3, 4, 4, 1, 6, 3, 6, 4, 5, 3, 3, 6, 4, 4, 5, 5, 4, 2, 4, 2, 1 2, 4, 7, 4, 4, 4, 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3, 4, 4, 4, 6, 3, 7, 4, 4, 2, 2, 5, 5, 6, 3, 5, 7, 3, 6, 6, 6, 6, 5, 2, 4, 5, 3, 3, 6, 7, 5, 3, 5, 4, 3, 4, 3, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 6, 4, 6, 4, 3, 2, 3, 6, 3, 4, 4, 6, 5, 6, 8, 4, 5, 5, 3, 4, 3, 5, 3, 5, 5, 9, 2, 5, 5, 5, 6, 2, 3, 6, 4, 2, 3, 2, 5, 3, 4, 3, 3, 6, 6, 5, 6, 3, 5, 6, 5, 5, 4, 6, 4, 5, 2, 6, 2, 4, 4, 7, 5, 5, 4, 6, 3, 6, 4, 7, 2, 4, 2, 5, 3, 5, 6, 9, 5, 4, 7, 3, 5, 5, 6, 4, 6, 6, 7, 4, 4, 3, 5, 3, 6, 4, 5, 2, 5, 3, 4, 6, 4, 3, 4, 5, 6, 4, 7, 4, 3, 5, 4, 4, 2, 4, 3, 4, 3, 4, 3, 5, 6, 7, 5, 3, 6, 3, 5, 6, 3, 4, 5, 4, 3, 5, 4, 5, 6, 4, 6, 4, 2, 5, 7, 5, 5, 4, 6, 4, 4, 6, 1, 4, 5, 3, 5, 3, 6, 7, 6, 5, 2, 6, 3, 3, 3, 5, 5, 4, 5, 4, 2, 5, 7, 3, 3, 1, 7, 3, 6, 3, 4, 6, 3, 4, 5, 4, 5, 3, 1, 5, 6, 5, 5, 3, 4, 1, 5, 3, 6, 4, 5, 4, 5, 5, 2, 4, 4, 3, 5, 4, 4, 5, 5, 5, 1, 3, 3, 7, 4, 3, 8, 5, 3, 5, 2, 8, 6, 4, 2, 3, 4, 4, 7, 5, 2, 4, 7, 3, 3, 4, 3, 5, 3, 1, 3, 6, 4, 5, 3, 4, 4, 4, 4, 3, 3, 8, 2, 4, 2, 4, 4, 7, 6, 5, 5, 7, 1, 4, 4, 4, 4, 5, 5, 6, 5, 5, 6, 4, 5, 4, 5, 2, 4, -1 5, 6, 3, 3, 5, 2, 5, 3, 4, 6, 5, 6, 5, 5, 4, 3, 4, 4, 3, 5, 7, 6, 4, 5, 5, 6, 3, 2, 7, 2, 6, 3, 5, 0, 8, 3, 5, 6, 1, 4, 7, 1, 4, 5, 3, 2, 3, 4, 3, 5, 6, 4, 3, 2, 4, 5, 3, 4, 6, 5, 7, 4, 4, 4, 7, 4, 6, 6, 8, 6, 4, 5, 6, 4, 4, 5, 2, 6, 6, 5, 5, 5, 3, 3, 5, 3, 3, 3, 6, 3, 4, 4, 5, 5, 3, 2, 5, 2, 4, 9, 5, 4, 6, 3, 5, 3, 6, 5, 4, 5, 5, 3, 4, 4, 4, 5, 6, 6, 5, 8, 5, 6, 4, 7, 2, 5, 4, 5, 3, 6, 2, 5, 5, 6, 6, 5, 5, 6, 4, 4, 4, 5, 3, 4, 6, 5, 7, 3, 2, 7, 5, 5, 6, 3, 5, 4, 3, 4, 5, 4, 7, 4, 4, 5, 5, 2, 7, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 2, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 6, 4, 4, 5, 6, 4, 1, 5, 3, 1, 6, 3, 3, 5, 4, 4, 6, 5, 3, 4, 7, 4, 6, 6, 5, 4, 4, 4, 6, 5, 4, 6, 7, 4, 5, 6, 6, 4, 6, 6, 3, 3, 3, 5, 5, 5, 6, 5, 4, 5, 5, 3, 1, 5, 4, 5, 5, 5, 3, 7, 2, 5, 5, 5, 3, 3, 3, 7, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 3, 2, 6, 3, 4, 2, 4, 4, 4, 4, 5, 5, 5, 3, 4, 1, 6, 2, 5, 3, 4, 5, 3, 5, 5, 6, 4, 3, 4, 3, 5, 4, 5, 4, 3, 3, 4, 1, 5, 6, 4, 5, 4, 4, 2, 4, 3, 2, 6, 4, 7, 8, 3, 5, 7, 1, 3, 3, 6, 5, 4, 4, 5, 5, 5, 5, 7, 6, 6, 6, 6, 4, 4, 6, 4, 6, 5, 5, 4, 4, 4, 4, 6, 3, 5, 3, 6, 5, 6, 5, 6, 4, 5, 6, 5, 5, 3, 3, 3, 6, 2, 3, 3, 4, 5, 4, 4, 5, 5, 3, 2, 4, 3, 3, 3, 3, 5, 7, 5, 2, 7, 8, 3, 4, 4, 7, 3, 4, 5, 6, 4, 5, 6, 7, 5, 3, 9, 2, 6, 6, 1, 7, 4, 6, 4, 4, 3, 5, 6, 6, 4, 5, 4, 3, 7, 4, 4, 4, 5, 4, 7, 3, 7, 5, 0, 4, 3, 5, 2, 7, 4, 3, 3, 6, 4, 3, 4, 2, 4, 5, 5, 3, 5, 7, 5, 3, 1, 7, 3, 6, 6, 5, 3, 4, 4, 6, 1, 4, 6, 6, 2, 5, 1, 5, 3, 2, 3, 2, 4, 3, 3, 4, 4, 6, 7, 4, 8, 1, 5, 3, 5, 3, 3, 5, 5, 3, 5, 4, 4, 4, 4, 5, -1 6, 3, 3, 3, 3, 3, 7, 5, 3, 6, 2, 3, 6, 7, 3, 5, 6, 5, 4, 6, 6, 6, 8, 5, 4, 4, 4, 5, 4, 8, 4, 6, 2, 3, 8, 5, 6, 4, 3, 7, 7, 5, 6, 1, 5, 3, 4, 5, 6, 2, 7, 2, 6, 4, 5, 6, 6, 5, 5, 4, 5, 6, 3, 4, 7, 8, 7, 4, 6, 2, 4, 4, 5, 6, 7, 2, 5, 4, 7, 6, 5, 4, 3, 4, 4, 3, 4, 2, 5, 6, 4, 4, 3, 7, 7, 7, 7, 3, 5, 4, 5, 5, 4, 2, 2, 4, 4, 3, 3, 4, 5, 4, 4, 6, 3, 6, 5, 4, 5, 5, 5, 3, 7, 4, 6, 5, 5, 4, 5, 6, 1, 3, 6, 4, 7, 5, 5, 6, 2, 4, 2, 6, 5, 3, 4, 5, 4, 4, 1, 5, 5, 2, 4, 7, 6, 5, 4, 4, 4, 2, 4, 5, 6, 5, 5, 6, 7, 4, 6, 3, 4, 6, 5, 6, 4, 5, 7, 3, 4, 5, 0, 6, 3, 5, 4, 4, 5, 3, 3, 5, 5, 2, 5, 5, 4, 3, 3, 5, 4, 4, 6, 6, 6, 5, 4, 5, 4, 4, 4, 4, 4, 6, 3, 5, 4, 6, 3, 2, 4, 4, 5, 5, 5, 6, 5, 6, 5, 4, 6, 6, 2, 3, 3, 4, 5, 3, 5, 5, 5, 6, 3, 3, 3, 4, 3, 3, 7, 2, 3, 4, 6, 6, 4, 4, 3, 3, 3, 3, 5, 3, 5, 2, 6, 6, 3, 1, 4, 3, 2, 3, 4, 4, 7, 5, 5, 5, 2, 6, 5, 3, 3, 7, 5, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 6, 4, 5, 4, 4, 5, 3, 8, 6, 7, 4, 4, 4, 5, 2, 3, 4, 3, 5, 5, 5, 3, 2, 6, 3, 4, 4, 6, 6, 5, 3, 6, 4, 5, 5, 5, 5, 4, 6, 2, 4, 3, 6, 7, 7, 4, 6, 3, 5, 3, 4, 2, 2, 4, 5, 7, 5, 8, 4, 3, 5, 5, 4, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 3, 5, 4, 2, 5, 6, 4, 3, 6, 3, 5, 6, 5, 5, 4, 4, 5, 4, 4, 7, 3, 6, 5, 6, 4, 5, 4, 7, 8, 6, 3, 7, 6, 6, 3, 8, 5, 3, 3, 4, 4, 3, 8, 6, 2, 4, 5, 3, 4, 4, 5, 2, 4, 5, 6, 3, 7, 4, 4, 5, 4, 5, 4, 6, 4, 6, 8, 5, 4, 3, 6, 2, 5, 6, 4, 4, 6, 2, 5, 6, 4, 5, 6, 4, 4, 8, 6, 7, 6, 3, 2, 6, 5, 3, 2, 4, 3, 4, 2, 5, 6, 4, 3, 4, 1, 4, 5, 3, 3, 4, 5, 7, 4, 4, 5, 5, 4, 6, 5, 7, 5, 2, 0, 5, 3, 3, 6, 3, 4, 5, 4, 4, 3, 1 7, 5, 5, 5, 6, 5, 4, 5, 5, 6, 5, 4, 4, 5, 7, 5, 6, 3, 4, 5, 5, 4, 5, 6, 5, 4, 6, 2, 6, 4, 4, 2, 3, 5, 4, 0, 0, 6, 4, 4, 5, 7, 4, 5, 5, 6, 3, 3, 2, 6, 5, 2, 5, 4, 4, 5, 4, 4, 6, 7, 5, 5, 2, 5, 1, 6, 5, 6, 3, 5, 6, 3, 5, 6, 4, 2, 4, 5, 5, 4, 4, 5, 2, 4, 5, 6, 4, 4, 3, 4, 2, 4, 5, 3, 3, 5, 4, 4, 5, 5, 6, 6, 3, 6, 3, 5, 6, 6, 4, 6, 5, 2, 4, 6, 3, 3, 5, 6, 5, 4, 4, 4, 4, 4, 3, 1, 3, 4, 6, 3, 3, 5, 5, 6, 6, 2, 3, 7, 4, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 6, 2, 3, 6, 3, 6, 5, 6, 5, 4, 6, 6, 5, 6, 7, 3, 5, 8, 6, 6, 4, 2, 2, 3, 7, 5, 3, 3, 6, 6, 6, 5, 3, 3, 5, 5, 2, 5, 4, 8, 3, 6, 6, 4, 4, 6, 5, 6, 4, 3, 4, 3, 4, 1, 6, 3, 6, 5, 3, 4, 4, 5, 5, 5, 2, 5, 7, 5, 2, 3, 4, 4, 4, 4, 6, 4, 3, 5, 3, 6, 4, 3, 5, 3, 4, 4, 6, 3, 6, 4, 4, 2, 6, 2, 4, 5, 4, 5, 2, 3, 5, 7, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 2, 3, 4, 2, 4, 6, 5, 5, 3, 5, 5, 4, 5, 5, 3, 4, 3, 6, 2, 3, 3, 4, 5, 4, 4, 3, 3, 4, 6, 5, 5, 4, 5, 6, 6, 5, 6, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 3, 5, 5, 7, 4, 6, 4, 3, 6, 5, 5, 4, 5, 4, 4, 7, 4, 4, 5, 5, 2, 3, 5, 1, 5, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 4, 6, 4, 3, 3, 4, 5, 4, 2, 3, 5, 4, 3, 7, 8, 4, 6, 5, 5, 3, 5, 5, 2, 4, 7, 3, 3, 7, 4, 4, 1, 6, 2, 3, 2, 2, 2, 4, 5, 4, 3, 3, 4, 7, 5, 4, 5, 5, 6, 5, 6, 3, 5, 5, 3, 5, 5, 6, 5, 4, 6, 6, 3, 2, 2, 5, 5, 6, 2, 2, 4, 3, 4, 4, 3, 4, 4, 2, 3, 3, 6, 5, 6, 3, 4, 3, 4, 3, 3, 3, 4, 4, 8, 6, 5, 6, 3, 5, 3, 5, 4, 5, 4, 6, 4, 4, 5, 3, 4, 6, 4, 5, 4, 7, 5, 7, 4, 4, 6, 4, 5, 2, 1, 6, 4, 6, 1, 7, 2, 5, 2, 6, 6, 3, 6, 3, 5, 7, 5, 2, 1, 5, 5, 5, 7, 3, 5, 4, 4, 5, 6, 7, 1 4, 3, 4, 4, 4, 4, 6, 6, 5, 4, 3, 7, 6, 3, 4, 5, 5, 3, 4, 6, 4, 4, 2, 5, 3, 6, 5, 2, 2, 3, 2, 4, 5, 4, 4, 7, 3, 7, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 6, 4, 6, 4, 3, 5, 7, 3, 3, 5, 1, 3, 3, 3, 5, 6, 2, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 6, 5, 4, 3, 5, 7, 2, 4, 7, 5, 3, 4, 4, 4, 5, 3, 6, 6, 4, 6, 5, 4, 7, 6, 7, 6, 2, 2, 4, 7, 5, 5, 0, 4, 4, 5, 4, 3, 5, 3, 6, 3, 7, 7, 5, 7, 4, 4, 5, 4, 6, 6, 3, 4, 5, 5, 2, 4, 5, 5, 4, 5, 5, 5, 6, 4, 3, 2, 3, 6, 5, 2, 7, 6, 5, 6, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 6, 3, 1, 7, 5, 6, 4, 3, 2, 6, 4, 4, 6, 3, 4, 4, 5, 8, 4, 5, 3, 2, 4, 7, 6, 4, 2, 3, 3, 5, 7, 4, 3, 3, 4, 6, 5, 4, 6, 7, 5, 4, 5, 3, 3, 4, 2, 7, 4, 8, 5, 7, 4, 3, 4, 7, 1, 6, 4, 4, 3, 6, 4, 4, 3, 4, 3, 5, 4, 6, 2, 4, 5, 4, 5, 4, 5, 6, 3, 5, 5, 4, 3, 6, 5, 5, 7, 7, 4, 6, 3, 5, 2, 6, 5, 4, 6, 3, 5, 5, 4, 3, 3, 3, 3, 7, 4, 5, 3, 6, 6, 5, 3, 5, 4, 4, 6, 3, 4, 6, 4, 7, 4, 4, 6, 6, 5, 3, 5, 5, 4, 4, 5, 4, 6, 2, 3, 6, 5, 5, 5, 6, 5, 5, 4, 6, 4, 2, 5, 7, 6, 4, 7, 7, 7, 3, 3, 3, 5, 4, 4, 5, 3, 3, 2, 5, 4, 5, 5, 2, 5, 0, 4, 3, 4, 6, 7, 5, 4, 4, 6, 6, 5, 7, 5, 7, 6, 4, 7, 5, 6, 6, 5, 5, 4, 6, 2, 5, 4, 5, 5, 5, 6, 3, 4, 6, 5, 4, 3, 0, 4, 2, 4, 2, 5, 3, 5, 5, 4, 6, 6, 3, 4, 3, 3, 3, 5, 7, 4, 4, 5, 5, 4, 5, 3, 3, 3, 6, 7, 5, 3, 5, 3, 2, 6, 5, 2, 5, 1, 4, 6, 2, 4, 3, 3, 3, 4, 7, 4, 4, 5, 6, 6, 6, 4, 2, 7, 4, 7, 3, 4, 8, 4, 4, 7, 5, 3, 5, 5, 3, 2, 3, 8, 5, 3, 5, 6, 4, 5, 4, 5, 6, 4, 4, 3, 3, 6, 7, 5, 4, 2, 8, 4, 4, 1, 7, 6, 5, 5, 6, 6, 4, 6, 5, 3, 4, 4, 4, 5, 6, 1, 6, 7, 4, 5, 3, 2, 5, 4, -1 4, 6, 6, 5, 3, 4, 4, 6, 6, 4, 4, 6, 5, 3, 2, 3, 4, 4, 5, 8, 6, 4, 4, 5, 3, 4, 2, 5, 2, 2, 7, 4, 5, 7, 6, 6, 4, 4, 3, 4, 4, 6, 5, 4, 5, 7, 6, 4, 5, 3, 6, 2, 4, 4, 5, 3, 5, 2, 3, 1, 5, 2, 5, 3, 2, 6, 4, 3, 3, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 1, 6, 4, 6, 3, 4, 9, 3, 5, 4, 4, 7, 3, 3, 4, 5, 1, 3, 5, 2, 5, 7, 5, 3, 4, 5, 5, 6, 3, 2, 1, 5, 3, 6, 7, 3, 6, 5, 3, 4, 5, 5, 7, 6, 4, 3, 5, 6, 6, 8, 3, 4, 5, 0, 7, 3, 7, 6, 4, 5, 5, 4, 5, 2, 6, 6, 5, 3, 5, 4, 7, 6, 7, 6, 5, 5, 5, 6, 5, 3, 4, 5, 4, 3, 5, 3, 4, 5, 3, 5, 6, 6, 6, 5, 4, 3, 6, 6, 4, 5, 7, 6, 7, 7, 4, 7, 5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 6, 4, 3, 5, 3, 3, 5, 5, 4, 4, 5, 3, 6, 4, 5, 7, 4, 6, 6, 6, 5, 2, 3, 4, 4, 5, 6, 4, 4, 4, 5, 5, 3, 4, 5, 7, 5, 5, 6, 6, 4, 3, 7, 4, 5, 6, 3, 5, 3, 6, 4, 3, 4, 4, 4, 2, 6, 4, 2, 4, 6, 5, 5, 5, 3, 6, 7, 5, 5, 5, 7, 4, 4, 5, 7, 4, 7, 6, 5, 5, 6, 3, 4, 5, 4, 6, 6, 1, 4, 3, 5, 3, 7, 4, 6, 4, 5, 7, 5, 4, 2, 7, 5, 3, 5, 5, 2, 5, 3, 5, 4, 7, 4, 5, 4, 6, 1, 5, 3, 4, 5, 5, 4, 3, 5, 2, 6, 4, 5, 6, 4, 5, 6, 7, 2, 5, 4, 3, 1, 7, 5, 3, 3, 3, 2, 6, 5, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 8, 4, 6, 4, 4, 5, 5, 5, 2, 5, 5, 5, 6, 4, 7, 5, 4, 4, 3, 4, 1, 6, 5, 3, 4, 6, 4, 3, 3, 5, 3, 4, 4, 2, 4, 6, 6, 3, 3, 6, 3, 4, 1, 5, 3, 3, 6, 5, 4, 4, 9, 7, 2, 5, 3, 5, 3, 3, 5, 5, 4, 4, 5, 9, 2, 4, 4, 4, 4, 8, 4, 7, 6, 5, 5, 4, 6, 4, 6, 4, 8, 6, 4, 6, 4, 4, 0, 3, 6, 4, 6, 4, 1, 5, 6, 0, 2, 4, 4, 4, 6, 7, 4, 3, 5, 4, 4, 3, 4, 5, 5, 5, 4, 6, 3, 5, 6, 4, 3, 3, 3, 5, 4, 5, 4, 5, 6, 4, 4, 4, 6, 5, 4, 3, 5, 6, 6, 5, 6, 5, 5, 1 5, 4, 3, 4, 3, 4, 3, 2, 6, 3, 9, 6, 6, 5, 4, 5, 6, 6, 4, 2, 5, 6, 5, 4, 7, 4, 2, 6, 8, 4, 6, 5, 4, 3, 2, 6, 4, 6, 4, 2, 5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 4, 8, 7, 2, 6, 5, 4, 3, 1, 3, 4, 4, 4, 7, 4, 4, 5, 3, 4, 4, 4, 4, 5, 6, 3, 3, 4, 2, 5, 5, 3, 3, 3, 4, 4, 8, 4, 6, 4, 6, 4, 8, 7, 3, 2, 4, 6, 6, 3, 6, 3, 7, 3, 4, 4, 5, 7, 7, 6, 6, 3, 2, 5, 4, 5, 5, 4, 3, 6, 5, 3, 4, 6, 4, 4, 4, 5, 3, 5, 7, 6, 3, 4, 5, 3, 3, 2, 5, 6, 5, 5, 4, 4, 5, 5, 4, 3, 6, 5, 6, 2, 6, 4, 2, 6, 5, 4, 6, 3, 5, 3, 2, 1, 4, 3, 1, 3, 4, 3, 4, 4, 3, 6, 6, 6, 5, 5, 2, 3, 5, 4, 5, 5, 6, 5, 4, 5, 6, 4, 5, 6, 4, 2, 5, 4, 6, 4, 4, 7, 7, 3, 5, 4, 7, 4, 3, 4, 6, 4, 4, 3, 3, 5, 7, 4, 4, 2, 7, 4, 6, 6, 5, 4, 2, 6, 4, 3, 5, 4, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 4, 5, 4, 4, 3, 5, 4, 5, 3, 5, 5, 2, 3, 5, 5, 4, 4, 6, 5, 4, 5, 4, 6, 6, 2, 4, 8, 5, 3, 4, 7, 7, 2, 3, 3, 3, 3, 4, 3, 6, 4, 3, 2, 6, 2, 7, 5, 6, 4, 4, 5, 6, 2, 7, 4, 5, 4, 4, 3, 4, 6, 6, 6, 4, 6, 3, 6, 4, 7, 6, 4, 6, 3, 3, 6, 4, 5, 6, 4, 7, 7, 4, 5, 4, 6, 5, 6, 5, 4, 4, 7, 3, 4, 4, 2, 4, 4, 3, 2, 5, 4, 2, 3, 4, 4, 1, 6, 4, 5, 3, 3, 3, 6, 5, 5, 3, 4, 2, 4, 2, 3, 5, 6, 4, 4, 6, 5, 6, 5, 4, 5, 5, 7, 4, 6, 4, 4, 4, 4, 3, 4, 5, 4, 6, 4, 5, 5, 6, 3, 5, 5, 3, 4, 6, 5, 3, 5, 4, 4, 4, 6, 6, 1, 5, 6, 3, 2, 5, 7, 4, 4, 6, 3, 5, 2, 4, 3, 4, 4, 4, 4, 6, 6, 4, 2, 6, 4, 4, 4, 5, 4, 6, 5, 6, 3, 4, 4, 7, 2, 5, 4, 4, 2, 4, 3, 3, 3, 5, 5, 3, 4, 3, 7, 5, 4, 5, 4, 3, 1, 7, 3, 7, 4, 5, 6, 4, 6, 5, 5, 4, 7, 6, 6, 4, 4, 6, 4, 3, 4, 4, 3, 3, 3, 4, 6, 1, 7, 5, 5, 4, 4, 6, 7, 9, 3, 7, 8, 1, 4, 4, 3, 1 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 4, 5, 5, 3, 2, 7, 2, 3, 4, 4, 8, 8, 3, 4, 6, 4, 2, 5, 4, 7, 7, 2, 4, 6, 5, 7, 5, 4, 6, 3, 5, 4, 5, 6, 5, 4, 3, 2, 6, 3, 5, 3, 4, 3, 3, 7, 6, 1, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 7, 2, 3, 7, 4, 4, 5, 4, 4, 3, 5, 3, 5, 3, 4, 4, 5, 3, 5, 5, 5, 3, 4, 3, 5, 2, 4, 5, 5, 4, 6, 6, 4, 6, 5, 3, 3, 6, 4, 6, 2, 6, 3, 5, 7, 6, 6, 4, 5, 5, 6, 4, 4, 6, 5, 4, 5, 3, 6, 4, 6, 4, 2, 4, 3, 5, 4, 3, 3, 5, 7, 2, 5, 5, 7, 3, 7, 5, 5, 4, 5, 6, 6, 3, 5, 3, 6, 3, 2, 4, 3, 5, 4, 6, 6, 6, 5, 2, 6, 0, 2, 4, 4, 7, 7, 4, 4, 5, 3, 3, 3, 3, 5, 4, 2, 5, 3, 4, 6, 4, 5, 6, 4, 3, 3, 4, 3, 6, 3, 3, 4, 4, 4, 5, 3, 5, 5, 6, 3, 7, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 7, 4, 4, 6, 7, 7, 4, 5, 3, 3, 4, 7, 4, 3, 5, 3, 7, 5, 4, 6, 7, 4, 5, 3, 4, 6, 5, 4, 4, 4, 3, 4, 7, 5, 4, 4, 4, 5, 5, 6, 5, 5, 3, 4, 3, 4, 7, 2, 6, 5, 4, 5, 9, 5, 6, 1, 4, 5, 4, 4, 6, 6, 3, 2, 7, 5, 5, 6, 5, 4, 5, 5, 6, 6, 3, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 5, 8, 4, 4, 4, 4, 6, 3, 6, 4, 4, 5, 4, 5, 5, 4, 6, 6, 6, 2, 6, 6, 4, 5, 4, 1, 3, 4, 4, 2, 4, 5, 5, 4, 5, 6, 6, 5, 6, 2, 4, 6, 7, 2, 5, 5, 3, 3, 3, 5, 3, 5, 4, 2, 6, 3, 6, 6, 5, 5, 3, 5, 3, 4, 2, 5, 4, 4, 3, 5, 7, 8, 4, 4, 1, 6, 5, 5, 7, 3, 6, 7, 5, 3, 3, 5, 1, 7, 7, 4, 6, 4, 4, 3, 3, 5, 4, 5, 4, 7, 6, 3, 3, 6, 5, 3, 7, 6, 2, 6, 5, 8, 4, 3, 4, 6, 5, 5, 7, 5, 4, 4, 4, 4, 5, 2, 1, 5, 4, 5, 3, 4, 5, 8, 3, 5, 7, 5, 4, 7, 4, 2, 5, 4, 3, 5, 4, 4, 4, 4, 6, 2, 3, 6, 4, 3, 1, 6, 5, 4, 4, 4, 7, 6, 7, 4, 3, 6, 5, 7, 5, 4, 3, 5, 5, 4, 3, 4, 5, 6, 5, 6, 6, 3, 4, 6, 4, 6, 5, 6, 6, 5, 5, 4, 4, 4, 5, -1 3, 3, 3, 6, 3, 3, 5, 3, 2, 0, 4, 4, 5, 5, 6, 3, 5, 5, 6, 5, 5, 5, 4, 4, 7, 5, 2, 3, 5, 3, 5, 5, 1, 1, 7, 4, 4, 4, 3, 5, 4, 4, 3, 5, 5, 3, 3, 4, 4, 4, 5, 6, 5, 4, 3, 6, 5, 4, 5, 3, 5, 2, 2, 5, 2, 6, 4, 4, 5, 8, 4, 3, 6, 7, 5, 5, 3, 5, 5, 3, 4, 3, 2, 3, 8, 5, 4, 4, 5, 6, 4, 7, 4, 6, 3, 8, 4, 4, 5, 9, 4, 6, 2, 5, 2, 7, 6, 5, 6, 5, 2, 5, 4, 7, 6, 3, 5, 4, 2, 3, 3, 6, 4, 7, 5, 7, 3, 6, 7, 4, 4, 3, 4, 6, 7, 6, 3, 3, 4, 6, 2, 7, 5, 3, 3, 6, 2, 5, 3, 4, 7, 7, 3, 6, 4, 3, 5, 6, 6, 3, 5, 2, 6, 3, 5, 4, 5, 4, 4, 3, 4, 7, 5, 2, 5, 4, 5, 3, 7, 3, 4, 6, 2, 3, 4, 5, 7, 6, 5, 4, 6, 4, 6, 2, 4, 5, 4, 5, 5, 6, 5, 7, 5, 6, 6, 2, 3, 5, 6, 2, 5, 5, 4, 5, 6, 2, 3, 4, 5, 7, 3, 6, 3, 3, 6, 2, 4, 5, 4, 3, 5, 5, 5, 5, 3, 4, 6, 3, 6, 4, 6, 6, 3, 4, 4, 4, 7, 4, 5, 4, 4, 4, 4, 4, 6, 6, 4, 4, 5, 4, 4, 3, 4, 3, 2, 6, 4, 3, 6, 4, 5, 6, 4, 5, 7, 4, 4, 2, 5, 6, 5, 6, 4, 4, 5, 5, 7, 3, 5, 5, 4, 3, 5, 5, 6, 4, 5, 4, 3, 6, 2, 3, 6, 3, 5, 7, 1, 5, 6, 7, 3, 4, 4, 4, 6, 4, 5, 3, 6, 5, 7, 5, 5, 5, 6, 5, 5, 4, 7, 3, 4, 3, 7, 5, 6, 4, 2, 2, 1, 2, 5, 4, 5, 3, 2, 7, 2, 6, 4, 4, 3, 4, 6, 8, 4, 7, 3, 4, 6, 3, 5, 4, 4, 4, 4, 6, 3, 3, 4, 7, 2, 3, 2, 6, 6, 6, 2, 5, 4, 3, 5, 2, 7, 5, 3, 8, 2, 3, 7, 5, 6, 6, 5, 4, 1, 4, 3, 5, 6, 5, 5, 4, 6, 5, 7, 5, 4, 5, 4, 7, 6, 3, 2, 3, 2, 3, 5, 3, 3, 4, 5, 3, 5, 2, 4, 7, 5, 3, 4, 4, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 4, 6, 4, 7, 2, 2, 5, 1, 6, 5, 4, 5, 4, 6, 3, 2, 6, 3, 4, 5, 3, 5, 3, 3, 4, 6, 5, 2, 4, 2, 6, 2, 4, 4, 4, 6, 1, 6, 5, 1, 7, 5, 7, 5, 5, 4, 6, 2, 4, 6, 3, 4, 3, 6, 6, 7, 4, 5, 4, 5, -1 8, 3, 7, 6, 6, 3, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 6, 6, 3, 3, 4, 3, 4, 5, 6, 6, 3, 3, 3, 5, 4, 5, 4, 5, 7, 6, 8, 4, 5, 1, 5, 5, 4, 4, 7, 5, 4, 4, 7, 5, 3, 3, 5, 5, 4, 4, 6, 6, 7, 4, 4, 3, 4, 3, 5, 5, 6, 5, 4, 3, 5, 5, 4, 8, 4, 7, 5, 5, 4, 4, 4, 4, 3, 4, 4, 2, 5, 2, 4, 4, 4, 3, 5, 4, 5, 3, 7, 4, 6, 3, 3, 5, 3, 3, 5, 4, 6, 5, 3, 3, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 7, 3, 4, 6, 5, 5, 6, 5, 4, 5, 7, 6, 9, 5, 5, 5, 4, 3, 4, 5, 2, 6, 3, 4, 7, 3, 7, 4, 3, 4, 6, 3, 1, 5, 5, 6, 4, 7, 4, 7, 5, 3, 1, 2, 6, 4, 5, 5, 4, 4, 4, 6, 5, 3, 6, 4, 5, 3, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 4, 3, 2, 5, 5, 2, 5, 5, 4, 3, 6, 4, 6, 3, 4, 8, 4, 5, 4, 4, 5, 4, 4, 1, 2, 2, 4, 2, 7, 3, 4, 3, 4, 5, 4, 4, 3, 4, 7, 1, 8, 3, 5, 2, 5, 4, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 2, 4, 6, 4, 6, 6, 6, 6, 4, 4, 6, 2, 4, 4, 5, 4, 7, 4, 4, 3, 3, 5, 5, 6, 1, 6, 5, 5, 6, 4, 4, 4, 3, 6, 6, 5, 7, 5, 4, 4, 3, 6, 3, 7, 4, 6, 4, 7, 4, 5, 6, 6, 4, 3, 7, 4, 7, 4, 2, 4, 5, 5, 5, 7, 5, 4, 3, 3, 6, 5, 5, 3, 6, 6, 1, 5, 5, 4, 4, 6, 7, 8, 2, 5, 4, 7, 5, 3, 4, 4, 5, 3, 5, 7, 7, 5, 5, 5, 4, 4, 5, 4, 5, 6, 4, 2, 6, 5, 6, 6, 4, 4, 6, 5, 6, 4, 5, 4, 3, 2, 1, 2, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 3, 5, 1, 2, 3, 4, 4, 4, 9, 5, 1, 4, 3, 5, 4, 7, 5, 3, 5, 7, 5, 4, 7, 5, 3, 6, 5, 3, 5, 2, 5, 3, 7, 2, 2, 4, 5, 6, 5, 6, 5, 2, 4, 4, 6, 5, 5, 3, 4, 3, 5, 5, 4, 6, 3, 7, 5, 5, 5, 4, 2, 5, 3, 5, 4, 7, 7, 6, 6, 4, 6, 3, 2, 4, 6, 6, 3, 6, 7, 2, 4, 8, 5, 7, 5, 4, 4, 3, 5, 4, 6, 5, 3, 4, 4, 7, 5, 5, 6, 6, 2, 5, 5, 3, 3, 6, 5, 4, 4, 4, 3, 3, 7, 4, 6, 4, 2, 5, 3, 2, 1 3, 3, 5, 4, 4, 6, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 5, 6, 5, 3, 5, 4, 3, 4, 2, 2, 3, 4, 7, 5, 6, 3, 2, 7, 4, 4, 4, 4, 6, 4, 5, 3, 7, 6, 4, 8, 5, 5, 5, 4, 5, 7, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 4, 2, 6, 6, 2, 4, 5, 4, 5, 5, 4, 7, 4, 6, 3, 6, 4, 4, 5, 3, 4, 6, 5, 2, 4, 4, 5, 6, 2, 3, 5, 3, 5, 3, 6, 5, 3, 4, 4, 3, 6, 4, 3, 4, 7, 5, 3, 3, 5, 4, 6, 6, 3, 4, 4, 3, 4, 4, 2, 5, 5, 6, 5, 5, 5, 5, 5, 6, 4, 5, 5, 3, 3, 5, 2, 2, 5, 7, 1, 6, 7, 3, 4, 7, 2, 4, 5, 6, 6, 4, 6, 5, 7, 5, 3, 7, 4, 3, 6, 5, 5, 5, 4, 5, 7, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 4, 8, 4, 4, 4, 2, 5, 3, 5, 5, 3, 5, 4, 4, 5, 3, 5, 4, 4, 3, 6, 2, 7, 2, 5, 4, 4, 5, 3, 4, 4, 5, 5, 3, 5, 7, 5, 3, 0, 4, 4, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 7, 7, 6, 3, 4, 6, 7, 3, 3, 7, 3, 6, 6, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 6, 6, 4, 5, 3, 6, 4, 3, 4, 3, 6, 5, 3, 4, 5, 7, 4, 6, 5, 2, 5, 6, 3, 5, 6, 7, 5, 4, 3, 6, 5, 4, 3, 4, 3, 5, 3, 7, 4, 5, 7, 4, 2, 4, 5, 4, 1, 5, 5, 4, 3, 5, 5, 4, 5, 6, 5, 6, 9, 4, 5, 5, 4, 5, 4, 6, 6, 4, 4, 2, 5, 4, 5, 5, 3, 6, 6, 5, 3, 1, 6, 3, 5, 3, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 7, 4, 6, 5, 6, 4, 5, 5, 5, 3, 3, 5, 4, 2, 6, 7, 4, 3, 1, 4, 5, 5, 4, 3, 1, 4, 4, 6, 2, 6, 5, 7, 6, 4, 2, 3, 3, 7, 4, 8, 7, 5, 8, 6, 4, 4, 5, 3, 8, 6, 4, 5, 5, 3, 4, 5, 3, 3, 6, 7, 4, 4, 4, 4, 6, 2, 5, 4, 5, 4, 8, 4, 4, 4, 6, 5, 4, 5, 3, 3, 5, 5, 4, 6, 4, 4, 6, 6, 4, 4, 3, 6, 5, 6, 3, 5, 6, 6, 3, 6, 4, 3, 6, 5, 5, 2, 5, 3, 7, 5, 3, 4, 5, 4, 3, 4, 4, 3, 6, 4, 4, 6, 7, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 6, 4, 3, 4, 3, 4, 6, 7, -1 4, 5, 4, 3, 1, 4, 4, 3, 6, 3, 5, 3, 5, 5, 5, 5, 2, 2, 5, 3, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 6, 3, 5, 2, 7, 5, 6, 6, 6, 5, 5, 4, 5, 4, 5, 4, 4, 7, 6, 5, 5, 5, 2, 3, 4, 4, 4, 3, 3, 3, 3, 2, 5, 2, 8, 6, 6, 2, 3, 9, 4, 5, 4, 5, 3, 5, 4, 4, 7, 3, 5, 3, 4, 3, 5, 7, 4, 5, 4, 4, 4, 6, 6, 1, 5, 5, 1, 7, 4, 6, 4, 7, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 6, 6, 1, 4, 4, 3, 3, 4, 6, 7, 5, 5, 5, 2, 5, 6, 4, 6, 3, 3, 8, 3, 6, 7, 4, 4, 3, 4, 3, 4, 5, 6, 4, 5, 4, 5, 4, 5, 5, 5, 6, 6, 6, 2, 5, 4, 4, 5, 6, 3, 4, 4, 5, 3, 6, 4, 4, 5, 3, 3, 6, 7, 3, 7, 2, 3, 5, 5, 6, 5, 4, 4, 5, 4, 4, 6, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 5, 3, 6, 6, 6, 6, 3, 5, 1, 2, 4, 7, 3, 4, 7, 3, 5, 4, 2, 6, 5, 5, 3, 4, 3, 4, 3, 4, 7, 4, 6, 6, 4, 5, 6, 3, 5, 2, 4, 6, 5, 5, 7, 3, 5, 5, 4, 3, 4, 6, 5, 5, 5, 5, 3, 1, 7, 3, 4, 5, 3, 6, 4, 5, 5, 6, 3, 3, 7, 5, 3, 6, 5, 5, 8, 4, 6, 5, 4, 3, 6, 4, 3, 6, 6, 4, 5, 6, 4, 2, 2, 6, 5, 5, 3, 5, 6, 7, 5, 3, 7, 4, 5, 5, 8, 2, 3, 3, 4, 1, 4, 5, 4, 6, 4, 3, 0, 2, 7, 4, 4, 4, 6, 6, 5, 2, 6, 4, 5, 0, 8, 5, 2, 4, 4, 3, 4, 4, 7, 4, 4, 5, 3, 4, 6, 6, 2, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 7, 5, 6, 6, 7, 4, 4, 6, 6, 1, 5, 3, 5, 4, 5, 3, 4, 6, 5, 3, 7, 4, 5, 4, 6, 6, 5, 3, 4, 5, 5, 3, 7, 5, 3, 7, 5, 6, 6, 3, 6, 5, 5, 4, 6, 4, 5, 4, 5, 7, 4, 5, 3, 3, 5, 4, 4, 5, 6, 6, 8, 3, 5, 1, 5, 7, 3, 3, 4, 5, 6, 4, 3, 4, 5, 7, 5, 6, 4, 5, 4, 5, 6, 5, 4, 5, 3, 7, 6, 2, 4, 3, 5, 4, 3, 6, 4, 6, 4, 3, 5, 2, 5, 3, 4, 4, 3, 4, 6, 5, 5, 5, 3, 7, 4, 2, 5, 3, 4, 6, 5, 6, 7, 2, 6, 6, 7, 6, 4, 5, 4, 4, 7, 4, 7, 5, 5, 5, 3, 8, 7, 3, 1 4, 6, 5, 1, 7, 4, 6, 3, 5, 5, 5, 5, 6, 3, 5, 4, 4, 6, 3, 6, 6, 3, 3, 5, 4, 5, 2, 2, 3, 3, 5, 4, 5, 4, 5, 4, 3, 4, 2, 6, 4, 5, 7, 7, 5, 3, 4, 2, 3, 7, 7, 5, 5, 6, 4, 7, 6, 4, 3, 3, 4, 4, 5, 2, 5, 3, 4, 5, 4, 4, 2, 5, 4, 6, 0, 4, 4, 4, 7, 4, 0, 5, 2, 4, 1, 5, 7, 5, 5, 3, 4, 4, 4, 6, 4, 6, 3, 6, 5, 7, 7, 5, 3, 2, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 6, 4, 3, 6, 3, 7, 6, 6, 3, 5, 3, 5, 7, 8, 3, 6, 5, 6, 6, 5, 4, 5, 5, 3, 3, 4, 3, 5, 6, 4, 5, 4, 3, 6, 6, 3, 5, 5, 5, 4, 3, 3, 6, 6, 7, 6, 8, 3, 4, 3, 3, 3, 5, 4, 7, 7, 5, 6, 6, 4, 4, 6, 6, 5, 3, 3, 5, 5, 6, 5, 5, 4, 4, 4, 6, 5, 6, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 3, 6, 5, 3, 6, 6, 6, 1, 2, 5, 3, 5, 4, 5, 5, 8, 4, 5, 8, 6, 4, 4, 3, 3, 5, 5, 3, 3, 8, 2, 5, 2, 3, 7, 4, 7, 6, 5, 2, 5, 4, 1, 7, 7, 4, 4, 5, 3, 3, 4, 8, 6, 5, 4, 5, 4, 5, 4, 5, 4, 1, 2, 4, 3, 5, 3, 5, 6, 4, 5, 5, 8, 2, 6, 3, 4, 3, 3, 3, 5, 7, 4, 5, 5, 3, 6, 5, 6, 5, 4, 4, 1, 6, 6, 3, 5, 3, 5, 5, 4, 2, 6, 3, 5, 3, 2, 4, 4, 4, 5, 3, 7, 8, 4, 5, 3, 4, 4, 3, 4, 3, 4, 5, 5, 4, 3, 6, 4, 4, 4, 4, 4, 1, 3, 2, 5, 4, 4, 3, 4, 4, 3, 6, 4, 7, 3, 4, 5, 4, 5, 7, 3, 4, 4, 5, 5, 8, 4, 4, 5, 4, 6, 4, 6, 6, 3, 3, 6, 6, 5, 3, 5, 5, 3, 5, 5, 4, 8, 4, 3, 5, 5, 5, 5, 3, 6, 5, 6, 6, 5, 7, 3, 2, 3, 4, 5, 7, 4, 7, 7, 3, 5, 4, 3, 6, 5, 4, 5, 5, 7, 5, 4, 6, 5, 7, 4, 4, 4, 4, 5, 4, 5, 6, 3, 3, 6, 5, 4, 5, 5, 6, 4, 5, 4, 3, 3, 2, 5, 6, 3, 4, 7, 4, 2, 4, 4, 3, 7, 4, 6, 5, 5, 4, 5, 5, 6, 5, 2, 5, 5, 4, 4, 4, 2, 3, 4, 3, 7, 3, 4, 1, 4, 5, 2, 6, 6, 4, 5, 4, 2, 5, 3, 5, 4, 5, 3, 4, 3, 5, 4, 7, 3, -1 6, 5, 4, 5, 4, 3, 3, 6, 5, 6, 6, 4, 4, 6, 2, 5, 5, 7, 5, 3, 6, 3, 4, 6, 5, 4, 5, 4, 3, 3, 5, 4, 4, 6, 5, 7, 5, 3, 6, 6, 6, 3, 4, 4, 2, 3, 4, 5, 6, 3, 7, 6, 3, 5, 3, 5, 5, 5, 5, 8, 3, 4, 5, 3, 3, 5, 2, 4, 1, 5, 3, 6, 3, 4, 3, 6, 4, 5, 3, 5, 2, 3, 5, 6, 5, 6, 6, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 6, 4, 4, 4, 4, 4, 6, 6, 3, 5, 2, 4, 4, 4, 4, 7, 4, 6, 1, 3, 5, 3, 5, 3, 5, 4, 6, 4, 5, 7, 5, 3, 3, 3, 3, 5, 5, 4, 4, 5, 7, 4, 4, 2, 3, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 1, 4, 6, 3, 5, 7, 4, 6, 4, 6, 8, 4, 6, 3, 4, 2, 6, 3, 3, 5, 4, 6, 4, 5, 6, 3, 4, 5, 3, 4, 4, 3, 3, 5, 5, 4, 4, 2, 6, 3, 5, 5, 3, 3, 5, 3, 5, 2, 5, 5, 4, 6, 5, 7, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 6, 3, 6, 5, 3, 2, 5, 4, 3, 7, 5, 4, 4, 5, 3, 5, 4, 6, 5, 4, 6, 5, 4, 4, 6, 6, 3, 4, 3, 3, 4, 7, 7, 5, 5, 5, 6, 5, 4, 6, 4, 6, 2, 7, 4, 2, 4, 2, 5, 6, 4, 5, 5, 5, 4, 5, 6, 6, 6, 5, 3, 3, 5, 5, 4, 6, 4, 5, 7, 8, 5, 5, 4, 4, 5, 7, 5, 5, 6, 5, 4, 6, 5, 7, 4, 4, 1, 3, 3, 3, 3, 2, 3, 5, 7, 3, 4, 4, 4, 2, 8, 2, 5, 3, 5, 4, 2, 3, 3, 8, 3, 4, 4, 5, 7, 5, 6, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 6, 4, 5, 1, 4, 1, 4, 3, 7, 7, 6, 5, 0, 6, 2, 4, 5, 2, 4, 5, 6, 7, 5, 3, 3, 6, 5, 5, 5, 3, 7, 3, 6, 1, 4, 5, 4, 4, 6, 2, 5, 4, 6, 4, 5, 4, 3, 3, 4, 3, 5, 5, 2, 4, 4, 4, 7, 6, 5, 5, 5, 5, 3, 8, 4, 5, 5, 5, 5, 5, 4, 6, 7, 5, 3, 4, 2, 6, 6, 6, 5, 2, 4, 3, 4, 3, 3, 6, 5, 7, 6, 4, 4, 3, 3, 3, 4, 7, 3, 3, 7, 4, 1, 1, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 6, 6, 3, 4, 4, 4, 2, 7, 6, 4, 6, 5, 5, 5, 5, 4, 4, 4, 2, 5, 5, 4, 7, 4, 5, 3, 4, 3, 3, 1 7, 5, 3, 4, 3, 3, 3, 5, 8, 3, 7, 5, 7, 1, 4, 9, 4, 4, 4, 5, 4, 7, 6, 3, 4, 7, 2, 5, 6, 4, 5, 6, 3, 4, 7, 4, 3, 3, 4, 2, 4, 3, 3, 5, 2, 6, 5, 3, 5, 4, 5, 6, 4, 5, 3, 6, 5, 3, 5, 4, 6, 6, 5, 1, 6, 4, 6, 5, 6, 3, 9, 5, 5, 4, 4, 3, 5, 5, 7, 4, 4, 4, 3, 4, 4, 7, 5, 3, 4, 4, 7, 4, 5, 4, 6, 5, 4, 8, 6, 4, 5, 4, 5, 4, 2, 5, 6, 2, 4, 4, 2, 3, 5, 5, 4, 5, 4, 4, 3, 2, 1, 5, 4, 2, 7, 4, 3, 6, 5, 6, 3, 4, 3, 5, 6, 6, 4, 5, 5, 5, 5, 3, 4, 6, 6, 7, 3, 5, 6, 4, 5, 2, 5, 6, 6, 3, 3, 6, 4, 4, 2, 2, 5, 5, 3, 6, 6, 5, 6, 2, 5, 3, 6, 7, 5, 4, 3, 6, 4, 5, 4, 5, 1, 6, 5, 2, 7, 5, 4, 4, 4, 4, 3, 5, 6, 4, 3, 5, 4, 4, 3, 6, 2, 5, 3, 3, 5, 4, 3, 5, 2, 5, 5, 5, 4, 4, 4, 3, 4, 7, 4, 3, 5, 3, 3, 6, 6, 4, 9, 7, 3, 5, 4, 5, 2, 6, 6, 8, 3, 5, 2, 5, 4, 3, 5, 3, 6, 2, 3, 4, 4, 4, 5, 7, 4, 6, 5, 3, 6, 2, 6, 6, 5, 3, 6, 4, 3, 5, 3, 3, 5, 4, 7, 4, 7, 2, 4, 5, 5, 6, 2, 6, 4, 5, 4, 4, 6, 3, 3, 5, 6, 3, 3, 3, 3, 4, 4, 3, 6, 7, 6, 4, 4, 3, 9, 5, 4, 3, 2, 5, 5, 5, 2, 5, 4, 3, 4, 2, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 3, 6, 7, 5, 5, 3, 5, 6, 3, 2, 3, 5, 6, 3, 3, 4, 3, 6, 4, 3, 5, 2, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 2, 5, 1, 4, 5, 5, 4, 3, 2, 4, 6, 4, 2, 4, 4, 3, 4, 4, 6, 4, 2, 5, 3, 5, 9, 4, 5, 2, 6, 2, 3, 5, 5, 8, 3, 3, 4, 6, 4, 5, 5, 8, 4, 4, 5, 3, 4, 5, 7, 5, 4, 6, 6, 5, 1, 6, 3, 7, 2, 5, 4, 4, 2, 3, 4, 8, 4, 5, 6, 2, 6, 3, 6, 3, 5, 4, 3, 3, 5, 3, 5, 5, 2, 4, 6, 5, 6, 5, 5, 3, 6, 3, 5, 4, 2, 5, 6, 4, 6, 9, 6, 6, 3, 3, 6, 4, 6, 2, 4, 5, 5, 4, 3, 2, 0, 4, 3, 5, 5, 3, 4, 6, 4, 6, 4, 4, 4, 5, 4, 5, 4, 6, 3, 5, 5, 1 4, 6, 6, 3, 6, 3, 6, 4, 1, 6, 4, 5, 5, 7, 4, 4, 3, 2, 2, 6, 7, 2, 5, 7, 3, 5, 5, 5, 2, 5, 3, 3, 5, 4, 5, 5, 4, 2, 4, 2, 4, 5, 4, 6, 3, 6, 6, 5, 6, 5, 5, 4, 1, 4, 6, 4, 6, 5, 4, 3, 6, 5, 4, 6, 6, 3, 6, 7, 3, 5, 5, 4, 4, 2, 3, 5, 5, 5, 6, 4, 2, 4, 5, 4, 3, 6, 5, 5, 5, 4, 7, 6, 4, 3, 5, 4, 4, 4, 3, 7, 5, 5, 0, 7, 4, 4, 4, 5, 7, 5, 5, 6, 6, 4, 6, 4, 1, 4, 4, 5, 3, 6, 5, 7, 1, 5, 4, 6, 4, 7, 6, 5, 5, 4, 5, 5, 6, 8, 6, 6, 6, 7, 6, 2, 0, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 7, 2, 2, 9, 3, 4, 4, 2, 3, 6, 6, 6, 3, 4, 7, 5, 5, 4, 4, 3, 4, 6, 3, 5, 7, 4, 5, 4, 4, 2, 5, 6, 5, 4, 3, 4, 5, 3, 4, 4, 6, 4, 4, 4, 5, 3, 4, 6, 6, 6, 6, 4, 4, 6, 3, 2, 6, 2, 4, 5, 6, 3, 7, 4, 5, 3, 5, 3, 5, 4, 4, 3, 6, 2, 5, 4, 4, 3, 3, 4, 8, 5, 4, 5, 6, 6, 5, 6, 5, 4, 5, 5, 1, 5, 4, 3, 5, 7, 4, 6, 5, 3, 3, 5, 5, 4, 3, 5, 2, 6, 4, 6, 4, 4, 4, 3, 1, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 5, 5, 3, 5, 5, 1, 5, 4, 5, 4, 5, 7, 2, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 6, 5, 4, 4, 4, 1, 7, 5, 6, 4, 4, 6, 4, 2, 2, 4, 6, 5, 6, 5, 5, 6, 2, 6, 5, 6, 3, 3, 3, 5, 4, 3, 5, 7, 3, 5, 8, 5, 4, 6, 3, 5, 6, 6, 8, 7, 7, 7, 3, 6, 2, 5, 3, 3, 3, 4, 2, 4, 5, 5, 3, 7, 5, 6, 3, 5, 5, 2, 2, 7, 5, 2, 5, 5, 4, 7, 1, 4, 3, 4, 3, 5, 4, 8, 2, 6, 5, 5, 4, 7, 5, 5, 5, 5, 6, 3, 7, 6, 1, 5, 1, 3, 3, 4, 5, 5, 1, 4, 6, 6, 4, 2, 5, 8, 7, 4, 4, 5, 2, 3, 4, 4, 4, 4, 5, 4, 6, 5, 2, 7, 4, 4, 5, 5, 1, 3, 4, 4, 1, 5, 6, 4, 4, 5, 5, 5, 3, 5, 6, 4, 5, 3, 2, 2, 6, 3, 5, 4, 4, 7, 4, 5, 2, 5, 3, 2, 2, 5, 4, 3, 6, 7, 4, 9, 6, 5, 5, 5, 4, 5, 5, 5, 4, 5, 8, 6, 6, 1 3, 3, 2, 4, 3, 3, 7, 7, 1, 5, 3, 5, 3, 4, 7, 7, 1, 4, 5, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 7, 5, 5, 4, 5, 9, 5, 5, 3, 3, 3, 3, 6, 5, 4, 3, 2, 6, 5, 6, 6, 4, 3, 5, 6, 4, 6, 5, 4, 3, 4, 6, 5, 5, 4, 9, 5, 8, 5, 8, 3, 5, 2, 2, 4, 5, 6, 3, 4, 4, 6, 3, 8, 3, 5, 6, 7, 7, 4, 4, 2, 2, 4, 6, 1, 4, 4, 2, 3, 2, 4, 5, 5, 5, 5, 3, 4, 6, 3, 5, 4, 3, 6, 4, 3, 6, 5, 1, 4, 5, 4, 5, 4, 4, 2, 4, 6, 6, 5, 4, 4, 4, 3, 6, 5, 5, 4, 5, 5, 3, 3, 0, 5, 5, 3, 6, 4, 3, 4, 4, 5, 4, 3, 5, 7, 3, 3, 6, 6, 3, 4, 7, 5, 7, 4, 4, 1, 6, 4, 3, 3, 4, 4, 6, 3, 5, 4, 4, 5, 3, 2, 4, 2, 1, 2, 6, 4, 6, 5, 5, 4, 4, 3, 6, 5, 4, 7, 5, 3, 7, 5, 5, 2, 3, 6, 5, 2, 4, 6, 2, 6, 4, 4, 4, 4, 1, 4, 3, 3, 5, 5, 6, 4, 5, 4, 6, 3, 4, 3, 4, 5, 6, 4, 5, 4, 5, 3, 4, 4, 6, 5, 6, 3, 5, 5, 3, 6, 5, 3, 3, 5, 3, 6, 4, 4, 2, 6, 3, 4, 6, 3, 4, 3, 4, 4, 6, 5, 6, 7, 5, 3, 5, 4, 6, 6, 6, 6, 2, 6, 3, 3, 3, 6, 5, 5, 5, 5, 5, 3, 3, 5, 6, 5, 4, 4, 3, 6, 4, 2, 6, 5, 4, 6, 4, 3, 7, 6, 4, 6, 3, 6, 4, 4, 4, 4, 2, 4, 8, 2, 4, 4, 8, 5, 2, 3, 7, 6, 5, 4, 2, 3, 6, 5, 2, 3, 3, 5, 8, 4, 5, 3, 7, 6, 4, 6, 3, 5, 3, 3, 2, 2, 6, 4, 7, 4, 5, 4, 4, 4, 7, 4, 5, 3, 6, 9, 6, 5, 4, 5, 5, 5, 2, 4, 6, 3, 2, 6, 7, 3, 6, 6, 6, 7, 5, 5, 2, 3, 5, 4, 6, 5, 3, 6, 5, 5, 2, 5, 7, 3, 4, 3, 5, 3, 4, 5, 7, 4, 5, 7, 4, 5, 5, 3, 3, 4, 2, 2, 4, 5, 4, 4, 3, 4, 5, 4, 7, 4, 2, 6, 4, 4, 6, 8, 4, 7, 7, 5, 2, 1, 5, 5, 5, 5, 4, 9, 4, 6, 3, 4, 5, 5, 8, 3, 7, 6, 4, 6, 2, 4, 5, 4, 7, 6, 4, 1, 3, 5, 4, 6, 5, 7, 4, 2, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 3, 3, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 1 5, 5, 6, 5, 1, 3, 3, 3, 3, 7, 7, 4, 4, 5, 7, 3, 6, 4, 7, 5, 7, 3, 2, 5, 5, 7, 1, 2, 9, 4, 7, 4, 6, 4, 4, 4, 2, 3, 5, 4, 3, 4, 6, 1, 5, 3, 5, 4, 3, 6, 2, 4, 4, 4, 6, 5, 5, 6, 3, 2, 7, 4, 3, 5, 4, 4, 4, 6, 2, 4, 1, 8, 3, 5, 6, 4, 5, 3, 3, 6, 4, 5, 6, 5, 4, 7, 4, 5, 5, 2, 4, 4, 5, 0, 4, 3, 2, 3, 3, 5, 4, 6, 6, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 5, 4, 2, 6, 2, 5, 3, 2, 7, 6, 4, 3, 6, 2, 5, 6, 6, 3, 6, 3, 4, 7, 1, 3, 3, 6, 4, 3, 6, 4, 4, 4, 6, 4, 6, 5, 7, 5, 3, 5, 6, 6, 3, 5, 5, 4, 4, 7, 4, 5, 3, 4, 6, 5, 4, 4, 7, 3, 5, 5, 4, 5, 8, 5, 4, 2, 3, 2, 6, 3, 5, 7, 4, 6, 5, 7, 2, 4, 4, 3, 3, 1, 3, 6, 6, 4, 6, 4, 4, 3, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 6, 3, 4, 7, 2, 3, 4, 4, 2, 4, 4, 3, 3, 6, 5, 6, 6, 5, 5, 4, 4, 1, 2, 2, 6, 4, 2, 4, 4, 5, 7, 2, 4, 4, 4, 3, 6, 8, 3, 5, 1, 3, 6, 3, 4, 4, 4, 5, 2, 4, 8, 3, 5, 7, 4, 6, 5, 4, 5, 7, 6, 4, 4, 4, 5, 5, 2, 5, 6, 8, 5, 6, 4, 5, 3, 5, 4, 5, 3, 5, 2, 5, 4, 5, 4, 5, 5, 4, 5, 4, 2, 6, 8, 5, 6, 5, 6, 5, 5, 3, 5, 7, 3, 5, 4, 9, 5, 6, 5, 3, 3, 8, 5, 4, 2, 6, 7, 4, 2, 4, 5, 5, 6, 4, 4, 3, 3, 5, 3, 1, 4, 4, 3, 2, 3, 7, 3, 5, 5, 3, 4, 3, 4, 5, 6, 4, 5, 4, 6, 6, 6, 4, 4, 4, 3, 2, 6, 5, 2, 3, 4, 5, 3, 5, 6, 2, 7, 3, 6, 4, 7, 2, 5, 3, 4, 4, 7, 5, 3, 3, 4, 4, 6, 5, 3, 5, 6, 5, 6, 4, 6, 3, 4, 3, 8, 6, 4, 2, 5, 3, 5, 0, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 6, 3, 4, 5, 4, 5, 3, 3, 6, 4, 4, 6, 5, 4, 5, 3, 3, 2, 4, 4, 4, 4, 3, 4, 5, 6, 8, 5, 5, 5, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 4, 2, 5, 4, 5, 4, 7, 2, 5, 4, 4, 5, 5, 5, 3, 4, 4, 3, 6, 4, 4, 3, 4, 4, 5, 5, 6, 6, 5, 4, 5, 3, 5, 4, 3, 1 3, 6, 4, 5, 2, 2, 5, 4, 5, 5, 2, 4, 6, 5, 5, 4, 8, 4, 6, 4, 4, 7, 5, 4, 3, 4, 5, 4, 3, 6, 6, 4, 3, 5, 4, 5, 3, 3, 1, 2, 6, 5, 6, 3, 3, 7, 3, 4, 7, 3, 8, 4, 4, 3, 1, 6, 6, 6, 3, 1, 6, 5, 3, 5, 7, 3, 4, 6, 9, 5, 4, 5, 5, 3, 8, 6, 4, 5, 5, 3, 5, 6, 6, 4, 3, 4, 5, 4, 4, 6, 4, 6, 4, 4, 4, 2, 6, 6, 3, 3, 7, 5, 5, 6, 5, 4, 6, 4, 5, 6, 5, 4, 5, 6, 4, 7, 5, 2, 5, 6, 5, 6, 6, 4, 4, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 6, 3, 3, 3, 5, 7, 3, 5, 4, 4, 6, 4, 6, 5, 5, 6, 3, 4, 1, 4, 4, 6, 5, 2, 5, 5, 1, 4, 3, 7, 4, 6, 4, 7, 3, 5, 2, 6, 5, 6, 2, 4, 7, 6, 5, 3, 1, 4, 4, 6, 6, 4, 5, 7, 3, 4, 5, 5, 4, 6, 3, 7, 3, 3, 4, 4, 6, 3, 5, 4, 5, 3, 5, 7, 3, 5, 6, 4, 5, 4, 5, 3, 3, 5, 3, 6, 4, 5, 4, 3, 4, 6, 6, 4, 3, 4, 4, 5, 4, 4, 4, 5, 6, 4, 3, 1, 3, 6, 3, 5, 5, 4, 7, 5, 4, 4, 7, 5, 4, 4, 5, 6, 6, 6, 2, 8, 7, 3, 5, 2, 5, 4, 5, 4, 6, 6, 2, 5, 2, 4, 3, 3, 7, 3, 3, 5, 4, 3, 7, 5, 3, 3, 4, 2, 6, 3, 6, 5, 5, 3, 2, 6, 4, 5, 7, 2, 6, 5, 5, 5, 4, 5, 6, 4, 4, 5, 7, 2, 3, 6, 4, 3, 5, 4, 4, 2, 3, 4, 5, 5, 4, 3, 4, 2, 7, 2, 5, 5, 4, 6, 4, 8, 4, 4, 5, 4, 5, 4, 6, 7, 4, 4, 5, 5, 7, 5, 6, 5, 4, 3, 5, 5, 6, 6, 3, 4, 5, 4, 6, 4, 7, 5, 6, 6, 6, 5, 5, 4, 5, 4, 3, 7, 3, 4, 1, 4, 7, 5, 6, 6, 4, 5, 3, 5, 4, 3, 3, 3, 8, 3, 4, 5, 6, 7, 5, 4, 5, 3, 2, 4, 7, 4, 5, 4, 5, 6, 4, 3, 5, 3, 4, 6, 4, 3, 3, 4, 4, 4, 4, 6, 5, 4, 2, 5, 5, 4, 3, 1, 3, 5, 6, 4, 8, 2, 3, 6, 4, 5, 5, 3, 7, 5, 7, 5, 2, 4, 5, 3, 6, 4, 5, 5, 3, 4, 4, 6, 4, 2, 4, 4, 4, 3, 4, 6, 4, 6, 4, 4, 2, 5, 2, 6, 6, 3, 3, 3, 4, 5, 5, 5, 0, 3, 5, 6, 6, 6, 4, 6, 6, 5, 4, 4, 4, -1 5, 3, 5, 6, 4, 5, 4, 6, 4, 4, 5, 6, 5, 4, 4, 5, 6, 4, 3, 6, 4, 5, 6, 4, 6, 5, 6, 5, 6, 4, 5, 5, 2, 3, 6, 3, 4, 5, 2, 4, 6, 5, 4, 3, 3, 2, 4, 3, 5, 6, 6, 2, 3, 4, 4, 4, 6, 1, 3, 3, 5, 6, 5, 3, 5, 4, 4, 5, 3, 5, 6, 6, 4, 5, 4, 4, 4, 4, 3, 5, 2, 6, 7, 6, 7, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 6, 4, 4, 2, 2, 6, 7, 4, 2, 4, 5, 5, 6, 4, 4, 4, 7, 6, 4, 3, 5, 6, 4, 6, 4, 1, 6, 4, 4, 5, 8, 4, 7, 6, 5, 4, 5, 6, 3, 6, 5, 4, 6, 4, 5, 4, 4, 3, 4, 4, 3, 6, 3, 6, 3, 6, 5, 3, 6, 4, 5, 7, 3, 5, 5, 6, 4, 6, 7, 6, 3, 4, 7, 3, 4, 3, 5, 4, 4, 4, 7, 6, 5, 5, 5, 3, 4, 2, 5, 5, 3, 7, 3, 6, 5, 5, 2, 3, 4, 3, 5, 6, 3, 6, 2, 6, 3, 6, 2, 6, 3, 7, 6, 3, 7, 5, 3, 3, 3, 5, 5, 5, 5, 1, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 5, 6, 3, 5, 4, 3, 7, 7, 6, 5, 4, 3, 6, 5, 5, 2, 7, 1, 5, 3, 4, 3, 5, 1, 4, 4, 5, 2, 7, 4, 3, 6, 3, 5, 5, 3, 5, 4, 4, 6, 5, 4, 3, 6, 7, 1, 7, 4, 3, 4, 7, 4, 4, 4, 4, 5, 4, 3, 6, 5, 7, 7, 4, 6, 5, 5, 6, 5, 2, 5, 5, 7, 4, 4, 4, 1, 7, 3, 5, 5, 6, 0, 5, 4, 7, 3, 5, 2, 6, 4, 6, 4, 7, 8, 4, 2, 7, 7, 5, 4, 3, 3, 4, 4, 2, 4, 1, 3, 4, 7, 3, 3, 6, 5, 4, 8, 2, 2, 4, 3, 5, 3, 3, 4, 7, 3, 6, 8, 1, 4, 7, 7, 5, 5, 4, 6, 5, 4, 6, 7, 5, 2, 4, 5, 4, 5, 6, 8, 6, 4, 5, 5, 7, 5, 3, 4, 4, 8, 5, 4, 4, 2, 6, 2, 5, 5, 5, 4, 6, 6, 5, 5, 5, 3, 3, 4, 3, 6, 4, 5, 4, 2, 4, 6, 3, 2, 3, 5, 3, 4, 4, 5, 6, 6, 3, 6, 2, 3, 3, 4, 5, 6, 5, 4, 2, 6, 2, 3, 5, 3, 5, 7, 7, 6, 4, 5, 7, 6, 2, 7, 4, 2, 5, 3, 6, 6, 8, 5, 5, 6, 5, 3, 3, 3, 2, 5, 5, 5, 8, 4, 3, 5, 6, 5, 5, 6, 6, 5, 3, 4, 6, 4, 7, 3, 4, 4, 6, 6, 3, 3, 6, 4, 1 7, 4, 2, 1, 2, 4, 4, 5, 4, 4, 4, 3, 6, 5, 4, 6, 4, 4, 5, 5, 4, 2, 4, 6, 7, 5, 2, 4, 3, 3, 6, 4, 5, 6, 5, 4, 7, 3, 6, 5, 4, 7, 4, 4, 2, 4, 5, 3, 2, 6, 3, 6, 3, 2, 5, 6, 5, 4, 5, 5, 4, 3, 4, 4, 6, 7, 3, 6, 7, 4, 5, 6, 2, 6, 4, 8, 5, 7, 3, 4, 4, 2, 7, 4, 4, 5, 4, 3, 3, 3, 4, 4, 5, 1, 8, 3, 6, 6, 5, 3, 6, 4, 4, 5, 7, 2, 5, 4, 7, 6, 5, 5, 6, 4, 4, 4, 6, 5, 7, 3, 3, 4, 5, 5, 4, 3, 3, 8, 2, 5, 3, 3, 4, 7, 6, 4, 3, 6, 4, 2, 4, 5, 3, 2, 5, 2, 4, 4, 5, 5, 3, 5, 4, 3, 7, 5, 5, 4, 8, 5, 7, 2, 1, 5, 4, 2, 4, 5, 3, 5, 7, 2, 3, 6, 5, 3, 4, 5, 6, 2, 4, 2, 3, 5, 3, 2, 4, 2, 6, 6, 5, 3, 2, 6, 4, 4, 4, 3, 5, 2, 6, 5, 3, 4, 2, 5, 3, 4, 3, 7, 7, 3, 2, 6, 4, 3, 0, 4, 6, 3, 6, 5, 1, 3, 4, 5, 4, 3, 8, 5, 2, 5, 5, 6, 4, 4, 5, 3, 4, 7, 5, 3, 4, 3, 3, 8, 4, 2, 3, 6, 6, 6, 4, 3, 6, 3, 6, 1, 6, 5, 6, 4, 3, 2, 5, 7, 4, 7, 5, 4, 5, 3, 6, 4, 3, 6, 7, 3, 4, 5, 4, 3, 1, 4, 3, 2, 3, 3, 3, 4, 4, 6, 4, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 6, 4, 7, 3, 4, 6, 4, 5, 5, 5, 5, 7, 3, 3, 6, 3, 8, 3, 6, 6, 3, 4, 6, 6, 4, 6, 5, 4, 3, 7, 4, 5, 4, 5, 5, 7, 5, 3, 4, 4, 4, 2, 2, 5, 4, 4, 3, 5, 5, 6, 5, 6, 2, 4, 4, 4, 5, 7, 5, 6, 6, 4, 4, 3, 1, 7, 4, 4, 4, 6, 5, 4, 4, 5, 5, 2, 4, 4, 3, 3, 4, 5, 4, 5, 3, 3, 3, 3, 5, 5, 3, 3, 6, 2, 5, 5, 4, 2, 7, 5, 3, 5, 3, 4, 5, 3, 5, 6, 6, 3, 3, 4, 6, 5, 6, 5, 6, 2, 4, 4, 7, 7, 2, 3, 5, 3, 5, 6, 3, 3, 3, 6, 6, 4, 4, 5, 7, 4, 7, 6, 4, 3, 2, 5, 3, 5, 5, 5, 3, 5, 4, 4, 6, 3, 2, 4, 4, 8, 2, 3, 4, 4, 4, 3, 5, 4, 4, 6, 5, 6, 6, 3, 3, 4, 5, 6, 5, 4, 6, 6, 4, 3, 4, 5, 5, 3, 5, 5, 4, 5, 4, 3, 3, 5, 3, 4, 1, 1 4, 5, 3, 7, 2, 5, 3, 5, 4, 2, 5, 3, 7, 5, 8, 4, 7, 5, 5, 3, 6, 6, 5, 7, 4, 6, 4, 6, 5, 6, 7, 1, 5, 4, 7, 4, 5, 5, 6, 4, 8, 6, 4, 5, 5, 5, 4, 6, 4, 3, 5, 4, 6, 4, 5, 6, 3, 5, 3, 6, 6, 6, 3, 3, 3, 3, 5, 7, 5, 4, 3, 8, 5, 3, 3, 3, 4, 4, 5, 5, 3, 1, 5, 4, 4, 6, 5, 4, 4, 6, 4, 5, 4, 3, 0, 4, 6, 4, 5, 4, 4, 5, 5, 5, 7, 5, 5, 2, 4, 7, 2, 5, 7, 6, 2, 4, 3, 4, 4, 2, 3, 3, 6, 4, 3, 7, 5, 6, 6, 6, 3, 4, 4, 3, 5, 4, 4, 5, 3, 5, 2, 7, 5, 6, 4, 4, 3, 4, 3, 6, 5, 6, 4, 5, 6, 3, 3, 5, 4, 3, 6, 2, 2, 7, 3, 4, 7, 5, 4, 3, 3, 6, 5, 4, 5, 5, 5, 3, 5, 3, 3, 6, 3, 6, 4, 5, 5, 6, 5, 3, 4, 4, 3, 4, 4, 4, 8, 4, 4, 3, 8, 4, 6, 4, 2, 4, 3, 4, 7, 5, 4, 4, 4, 7, 6, 4, 3, 6, 6, 5, 7, 4, 5, 9, 4, 4, 8, 5, 4, 5, 2, 6, 3, 3, 6, 4, 6, 4, 3, 2, 7, 8, 3, 6, 4, 2, 3, 6, 6, 5, 4, 8, 3, 4, 3, 3, 4, 5, 4, 5, 6, 4, 4, 5, 4, 5, 6, 6, 5, 5, 4, 3, 7, 4, 2, 2, 2, 5, 6, 5, 2, 5, 4, 4, 6, 6, 4, 6, 5, 5, 4, 7, 7, 4, 4, 5, 6, 4, 6, 6, 5, 4, 2, 5, 4, 4, 6, 5, 5, 4, 5, 6, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 3, 5, 6, 4, 4, 3, 8, 4, 3, 4, 2, 3, 2, 6, 6, 5, 4, 6, 5, 5, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 7, 5, 4, 7, 7, 4, 4, 4, 6, 5, 6, 4, 6, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 8, 5, 5, 6, 5, 7, 4, 5, 2, 6, 5, 5, 6, 4, 2, 6, 5, 3, 5, 4, 2, 9, 4, 5, 4, 1, 4, 3, 4, 5, 4, 6, 5, 6, 4, 4, 6, 2, 4, 3, 6, 3, 4, 6, 7, 4, 3, 5, 4, 4, 5, 6, 5, 4, 7, 5, 2, 6, 4, 7, 7, 4, 5, 5, 2, 5, 3, 3, 4, 5, 3, 2, 4, 3, 5, 4, 5, 3, 3, 4, 2, 5, 5, 6, 1, 5, 2, 3, 4, 8, 5, 3, 5, 3, 4, 4, 4, 3, 7, 3, 3, 3, 2, 3, 7, 3, 4, 2, 5, 5, 5, 3, 3, 6, 1 5, 4, 7, 5, 2, 5, 2, 4, 5, 6, 5, 4, 4, 6, 5, 4, 3, 5, 5, 6, 4, 4, 4, 4, 3, 4, 5, 4, 4, 6, 4, 4, 3, 7, 6, 4, 4, 7, 5, 2, 4, 2, 3, 3, 3, 4, 4, 4, 2, 3, 4, 7, 5, 4, 6, 5, 3, 2, 4, 5, 4, 6, 2, 3, 5, 4, 2, 5, 5, 5, 5, 5, 2, 5, 4, 5, 3, 7, 7, 4, 3, 3, 6, 3, 4, 3, 7, 2, 5, 4, 7, 6, 4, 3, 1, 5, 4, 7, 3, 6, 5, 6, 5, 4, 2, 3, 5, 6, 5, 5, 4, 6, 7, 4, 5, 3, 3, 4, 4, 4, 3, 8, 7, 3, 6, 6, 5, 4, 3, 8, 6, 6, 4, 4, 6, 4, 4, 1, 6, 5, 4, 6, 5, 3, 7, 2, 6, 5, 8, 6, 4, 5, 3, 4, 7, 0, 4, 4, 7, 5, 4, 6, 4, 5, 3, 1, 7, 2, 2, 5, 6, 6, 4, 3, 5, 4, 6, 4, 4, 3, 2, 1, 4, 3, 5, 4, 7, 4, 5, 6, 7, 3, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 2, 5, 4, 5, 6, 4, 3, 0, 4, 4, 4, 6, 5, 5, 1, 4, 3, 5, 6, 6, 5, 6, 1, 5, 4, 5, 6, 5, 7, 4, 3, 4, 4, 6, 4, 4, 4, 3, 7, 3, 3, 6, 7, 3, 6, 3, 6, 4, 6, 6, 2, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 8, 5, 4, 4, 3, 5, 6, 2, 5, 7, 4, 3, 5, 6, 3, 4, 5, 4, 5, 5, 2, 3, 5, 6, 2, 5, 2, 3, 4, 4, 5, 3, 2, 6, 5, 5, 3, 3, 5, 6, 6, 4, 4, 4, 2, 9, 5, 4, 5, 3, 6, 2, 4, 7, 3, 2, 5, 4, 5, 3, 5, 4, 7, 6, 3, 3, 2, 1, 5, 6, 5, 5, 6, 6, 7, 5, 3, 5, 3, 6, 9, 5, 5, 3, 4, 2, 3, 4, 1, 3, 3, 2, 7, 4, 5, 4, 6, 2, 5, 3, 5, 5, 4, 4, 5, 5, 6, 6, 3, 4, 3, 4, 2, 4, 6, 4, 3, 4, 5, 1, 3, 4, 5, 4, 4, 7, 3, 3, 2, 5, 5, 5, 4, 4, 3, 6, 5, 3, 3, 6, 7, 4, 7, 4, 5, 1, 2, 1, 4, 1, 5, 5, 4, 4, 8, 4, 6, 4, 6, 6, 7, 2, 2, 4, 3, 3, 6, 4, 1, 4, 2, 5, 5, 6, 5, 4, 6, 5, 4, 5, 4, 5, 5, 5, 3, 3, 4, 5, 4, 4, 1, 7, 2, 6, 5, 5, 5, 7, 3, 5, 3, 7, 6, 4, 6, 7, 6, 6, 5, 3, 4, 5, 5, 6, 6, 3, 5, 3, 3, 3, 7, 6, 4, 5, 4, 2, 4, 4, 6, 5, 6, 6, 8, 2, 1 3, 4, 5, 5, 4, 4, 3, 6, 4, 3, 4, 3, 6, 1, 5, 4, 6, 7, 6, 6, 5, 6, 4, 4, 4, 6, 4, 2, 6, 3, 7, 5, 3, 5, 4, 3, 6, 3, 2, 4, 5, 3, 3, 0, 4, 3, 7, 2, 6, 5, 7, 4, 4, 3, 2, 7, 4, 3, 4, 5, 4, 1, 1, 4, 4, 4, 2, 6, 5, 5, 4, 5, 3, 6, 3, 5, 5, 1, 4, 3, 2, 5, 5, 5, 4, 4, 4, 4, 7, 3, 7, 4, 6, 5, 5, 3, 6, 6, 3, 7, 7, 6, 7, 5, 5, 5, 5, 3, 4, 3, 4, 5, 6, 5, 5, 5, 3, 4, 2, 3, 1, 5, 5, 5, 2, 4, 4, 5, 6, 3, 6, 5, 4, 4, 6, 1, 5, 7, 5, 4, 5, 4, 7, 4, 3, 4, 4, 3, 5, 5, 4, 5, 5, 3, 6, 2, 4, 4, 5, 4, 7, 5, 6, 4, 4, 6, 4, 3, 3, 9, 4, 5, 4, 4, 7, 7, 5, 7, 4, 4, 3, 4, 3, 5, 4, 5, 4, 5, 6, 5, 7, 4, 2, 6, 4, 3, 6, 5, 4, 5, 4, 6, 4, 4, 5, 3, 3, 6, 5, 2, 4, 2, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 6, 5, 6, 3, 4, 5, 4, 5, 4, 6, 4, 5, 7, 5, 4, 5, 7, 2, 5, 6, 2, 3, 4, 3, 4, 7, 4, 3, 5, 7, 3, 3, 4, 3, 4, 6, 5, 2, 4, 7, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 7, 3, 7, 3, 6, 3, 4, 7, 5, 7, 2, 6, 8, 7, 4, 1, 4, 5, 6, 3, 2, 4, 5, 6, 4, 3, 4, 5, 3, 6, 3, 4, 6, 4, 2, 6, 5, 3, 6, 3, 6, 5, 6, 6, 5, 6, 5, 6, 7, 3, 6, 4, 4, 4, 4, 6, 6, 7, 4, 5, 4, 3, 5, 4, 5, 5, 2, 3, 6, 3, 5, 6, 4, 4, 5, 5, 3, 4, 4, 4, 8, 2, 4, 5, 7, 3, 5, 4, 4, 4, 5, 5, 4, 7, 2, 5, 3, 5, 4, 3, 6, 2, 7, 6, 3, 3, 2, 2, 4, 4, 4, 7, 4, 5, 4, 6, 4, 3, 5, 4, 5, 4, 2, 4, 5, 6, 3, 4, 7, 6, 5, 7, 3, 4, 6, 2, 5, 4, 3, 6, 1, 3, 5, 4, 5, 4, 6, 3, 2, 6, 4, 3, 3, 4, 3, 3, 5, 4, 4, 5, 5, 6, 4, 5, 3, 4, 4, 1, 5, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 6, 3, 4, 4, 8, 3, 4, 6, 4, 6, 2, 5, 3, 7, 3, 5, 4, 6, 7, 5, 5, 2, 7, 3, 4, 5, 5, 5, 7, 3, 4, 5, 4, 3, 4, 3, 7, 3, 3, 6, 5, 6, 1 2, 5, 3, 4, 3, 3, 5, 5, 3, 2, 2, 4, 4, 4, 5, 4, 5, 2, 5, 4, 7, 4, 4, 3, 7, 4, 7, 5, 4, 4, 5, 6, 3, 4, 5, 5, 4, 4, 1, 5, 6, 4, 2, 4, 7, 5, 6, 5, 2, 6, 6, 7, 4, 5, 6, 4, 6, 3, 4, 4, 5, 5, 4, 2, 6, 5, 1, 6, 6, 6, 3, 7, 3, 5, 4, 5, 4, 7, 3, 5, 3, 5, 4, 6, 4, 7, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 2, 5, 5, 5, 7, 4, 5, 6, 5, 6, 5, 3, 4, 2, 3, 4, 5, 3, 1, 4, 5, 4, 6, 3, 1, 5, 4, 7, 5, 1, 5, 7, 3, 2, 5, 3, 5, 5, 2, 4, 5, 3, 2, 4, 5, 4, 5, 3, 3, 5, 4, 6, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 4, 6, 6, 5, 1, 5, 3, 7, 4, 5, 5, 6, 4, 3, 4, 5, 6, 4, 2, 6, 3, 5, 1, 5, 3, 5, 3, 5, 3, 2, 5, 5, 3, 4, 6, 6, 6, 3, 3, 5, 3, 3, 6, 4, 4, 5, 4, 3, 7, 0, 2, 2, 6, 7, 4, 6, 4, 4, 3, 5, 2, 6, 3, 5, 1, 5, 5, 7, 8, 7, 2, 6, 6, 4, 2, 4, 5, 4, 6, 7, 4, 5, 1, 4, 3, 4, 6, 1, 6, 5, 4, 4, 4, 4, 4, 6, 4, 3, 5, 5, 5, 5, 3, 5, 4, 7, 2, 4, 2, 4, 3, 6, 5, 7, 3, 5, 3, 5, 4, 5, 3, 5, 4, 6, 4, 5, 6, 7, 6, 5, 6, 7, 5, 6, 3, 5, 7, 5, 6, 3, 3, 6, 5, 1, 3, 5, 4, 2, 5, 3, 2, 4, 4, 6, 5, 4, 3, 2, 6, 5, 3, 3, 8, 6, 5, 7, 6, 5, 8, 6, 3, 7, 6, 6, 4, 4, 6, 4, 4, 4, 6, 6, 4, 5, 4, 4, 4, 3, 4, 3, 5, 6, 5, 9, 5, 5, 4, 3, 5, 4, 5, 6, 6, 6, 2, 6, 5, 7, 8, 2, 6, 2, 6, 4, 7, 6, 5, 3, 2, 7, 4, 3, 4, 5, 5, 4, 7, 4, 6, 6, 4, 2, 3, 4, 3, 5, 5, 3, 6, 3, 7, 4, 8, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 3, 3, 7, 2, 4, 4, 5, 0, 7, 1, 4, 4, 4, 3, 4, 4, 4, 3, 6, 5, 4, 4, 8, 2, 3, 5, 6, 1, 5, 6, 3, 3, 4, 5, 4, 5, 5, 7, 6, 5, 4, 4, 4, 2, 2, 7, 5, 3, 5, 2, 4, 4, 7, 4, 1, 2, 4, 6, 4, 5, 6, 3, 5, 5, 3, 5, 4, 4, 6, 2, 5, 3, 5, 4, 5, 5, 3, 5, 5, 5, 1 5, 6, 4, 1, 6, 4, 4, 5, 3, 2, 4, 5, 1, 7, 6, 3, 4, 6, 6, 6, 5, 4, 4, 6, 5, 5, 7, 5, 6, 5, 5, 6, 3, 7, 5, 2, 3, 6, 5, 2, 5, 8, 3, 5, 4, 4, 3, 2, 3, 0, 5, 4, 3, 3, 5, 7, 6, 4, 4, 4, 5, 4, 5, 5, 5, 4, 3, 8, 4, 6, 4, 6, 4, 4, 3, 5, 5, 5, 4, 6, 6, 5, 3, 2, 8, 1, 5, 5, 2, 5, 4, 6, 5, 4, 5, 5, 4, 1, 4, 6, 7, 6, 5, 3, 4, 5, 3, 6, 6, 4, 1, 3, 6, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 2, 5, 2, 3, 5, 6, 6, 2, 4, 6, 4, 4, 5, 7, 5, 5, 5, 5, 4, 6, 5, 8, 4, 6, 7, 4, 5, 5, 3, 6, 4, 7, 6, 7, 4, 5, 4, 6, 4, 6, 4, 3, 3, 5, 4, 4, 5, 5, 7, 3, 7, 5, 5, 5, 8, 5, 5, 3, 6, 3, 5, 4, 4, 5, 5, 3, 4, 5, 4, 6, 6, 1, 6, 3, 3, 3, 2, 6, 6, 3, 9, 2, 3, 3, 6, 8, 4, 3, 5, 3, 7, 3, 6, 2, 4, 6, 4, 4, 3, 4, 5, 4, 6, 2, 2, 4, 5, 6, 4, 7, 5, 4, 5, 3, 6, 4, 7, 4, 2, 5, 7, 5, 2, 8, 4, 6, 4, 6, 6, 5, 3, 3, 4, 4, 6, 6, 5, 3, 3, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 7, 3, 6, 4, 5, 4, 5, 4, 3, 3, 6, 4, 5, 5, 3, 6, 4, 3, 4, 5, 6, 4, 7, 4, 2, 4, 5, 5, 7, 7, 7, 6, 4, 6, 3, 5, 4, 5, 6, 4, 5, 3, 6, 5, 6, 5, 7, 4, 4, 6, 5, 6, 5, 4, 3, 3, 4, 6, 5, 7, 4, 8, 5, 1, 4, 3, 6, 5, 5, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 8, 3, 4, 1, 3, 6, 4, 4, 4, 5, 5, 6, 4, 5, 5, 4, 4, 3, 4, 6, 3, 7, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 5, 2, 5, 6, 4, 6, 4, 5, 5, 3, 6, 5, 4, 6, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 7, 3, 7, 4, 4, 5, 4, 2, 3, 5, 5, 4, 7, 3, 5, 4, 6, 6, 3, 4, 4, 6, 3, 6, 6, 3, 5, 5, 5, 2, 4, 3, 6, 5, 7, 2, 2, 5, 4, 2, 3, 5, 4, 5, 3, 7, 7, 3, 3, 5, 5, 4, 8, 6, 3, 2, 2, 3, 5, 2, 4, 3, 3, 5, 6, 1, 5, 6, 4, 7, 5, 4, 5, 5, 6, 4, 3, 5, 3, 3, 4, 1 5, 5, 5, 5, 1, 3, 3, 3, 4, 3, 4, 3, 5, 6, 8, 6, 4, 6, 6, 7, 4, 5, 5, 6, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 7, 4, 2, 4, 4, 5, 6, 4, 6, 5, 5, 3, 2, 3, 3, 4, 7, 6, 5, 5, 3, 4, 2, 4, 5, 4, 6, 5, 9, 6, 3, 4, 5, 1, 3, 3, 6, 5, 4, 6, 5, 4, 3, 6, 3, 6, 4, 5, 4, 7, 2, 2, 3, 5, 6, 4, 3, 3, 6, 4, 6, 5, 3, 3, 4, 2, 6, 7, 4, 6, 3, 2, 2, 3, 6, 3, 3, 3, 2, 6, 6, 6, 4, 5, 3, 7, 6, 3, 7, 6, 4, 4, 4, 7, 5, 6, 3, 4, 6, 3, 8, 6, 5, 7, 5, 4, 6, 2, 5, 5, 5, 3, 3, 7, 3, 5, 2, 5, 8, 4, 5, 6, 2, 6, 4, 4, 3, 3, 4, 7, 4, 3, 3, 4, 7, 5, 4, 4, 6, 4, 4, 6, 2, 5, 6, 6, 4, 5, 7, 5, 4, 6, 4, 4, 2, 5, 4, 4, 7, 4, 4, 6, 8, 6, 6, 4, 5, 1, 3, 4, 3, 4, 4, 6, 6, 4, 4, 6, 6, 3, 5, 4, 5, 3, 3, 4, 6, 3, 3, 8, 7, 5, 2, 2, 6, 4, 5, 4, 6, 5, 4, 5, 2, 4, 2, 2, 5, 5, 4, 4, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 5, 4, 7, 2, 6, 4, 4, 5, 4, 3, 0, 4, 4, 9, 1, 4, 4, 2, 5, 4, 6, 6, 2, 5, 4, 3, 6, 5, 4, 3, 4, 5, 4, 4, 5, 5, 6, 3, 3, 2, 6, 7, 6, 5, 8, 3, 4, 6, 3, 6, 7, 4, 2, 6, 6, 6, 5, 5, 6, 5, 5, 4, 8, 3, 8, 2, 4, 5, 2, 6, 5, 6, 5, 4, 5, 5, 5, 3, 0, 6, 4, 3, 4, 4, 6, 3, 4, 3, 7, 3, 3, 6, 4, 5, 6, 5, 6, 5, 4, 6, 6, 6, 7, 6, 3, 5, 3, 6, 3, 5, 4, 4, 4, 4, 6, 2, 4, 3, 3, 5, 3, 4, 5, 6, 4, 4, 3, 4, 4, 4, 2, 5, 4, 3, 6, 6, 5, 4, 5, 4, 4, 5, 8, 6, 0, 5, 6, 4, 5, 6, 6, 6, 4, 5, 6, 4, 3, 4, 3, 6, 2, 6, 6, 6, 4, 6, 5, 5, 4, 8, 5, 4, 4, 5, 3, 6, 5, 3, 4, 5, 4, 5, 4, 7, 4, 6, 0, 4, 5, 6, 3, 4, 5, 5, 6, 4, 2, 3, 2, 7, 4, 3, 6, 5, 4, 5, 3, 4, 4, 5, 5, 8, 5, 7, 4, 4, 2, 3, 2, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 7, 4, 0, 4, 6, 5, -1 2, 5, 4, 5, 5, 3, 4, 5, 2, 4, 4, 2, 5, 5, 3, 5, 3, 4, 6, 5, 5, 6, 4, 4, 5, 1, 2, 4, 7, 3, 3, 3, 3, 2, 4, 4, 2, 5, 4, 4, 6, 5, 1, 3, 4, 1, 4, 4, 8, 6, 4, 3, 4, 6, 5, 6, 5, 6, 3, 3, 6, 7, 2, 4, 4, 5, 3, 6, 6, 6, 3, 4, 2, 3, 6, 5, 3, 5, 5, 2, 1, 5, 6, 5, 7, 4, 4, 5, 5, 5, 4, 3, 7, 5, 5, 3, 5, 3, 3, 7, 7, 4, 6, 1, 3, 6, 6, 5, 2, 3, 3, 4, 5, 5, 5, 4, 5, 2, 4, 2, 4, 6, 4, 5, 3, 7, 5, 8, 7, 7, 3, 7, 4, 5, 5, 1, 7, 3, 2, 5, 4, 3, 6, 3, 5, 5, 4, 4, 5, 6, 5, 6, 6, 6, 7, 3, 6, 4, 5, 5, 2, 5, 7, 5, 5, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 4, 6, 3, 3, 4, 5, 4, 2, 3, 6, 5, 3, 3, 7, 7, 6, 4, 3, 4, 3, 0, 6, 8, 5, 3, 4, 4, 3, 8, 5, 5, 6, 6, 7, 3, 6, 7, 4, 2, 5, 6, 5, 5, 0, 4, 4, 5, 6, 4, 2, 3, 5, 3, 4, 5, 6, 5, 4, 3, 5, 1, 5, 2, 2, 3, 4, 8, 4, 4, 4, 2, 7, 6, 4, 4, 1, 4, 4, 4, 6, 3, 2, 6, 6, 3, 5, 4, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 6, 5, 3, 5, 4, 3, 6, 7, 5, 6, 5, 3, 4, 5, 6, 3, 5, 5, 5, 8, 3, 4, 4, 5, 5, 3, 3, 9, 3, 5, 6, 4, 6, 5, 4, 5, 5, 7, 5, 5, 3, 4, 6, 4, 3, 3, 7, 5, 4, 4, 4, 5, 6, 4, 6, 4, 4, 4, 2, 7, 4, 5, 6, 5, 4, 5, 1, 5, 3, 5, 3, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 6, 6, 2, 5, 5, 8, 5, 8, 3, 4, 3, 5, 6, 4, 6, 4, 7, 6, 6, 6, 3, 5, 8, 5, 5, 4, 1, 5, 3, 4, 6, 5, 6, 5, 4, 6, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 2, 4, 5, 6, 3, 5, 8, 3, 5, 4, 1, 4, 6, 5, 6, 6, 2, 3, 4, 6, 3, 4, 4, 3, 5, 4, 6, 8, 6, 5, 6, 6, 2, 5, 3, 0, 4, 3, 7, 8, 6, 5, 5, 5, 6, 3, 3, 3, 6, 5, 5, 6, 5, 3, 3, 7, 5, 4, 6, 5, 2, 3, 3, 3, 6, 0, 4, 4, 8, 3, 6, 4, 4, 5, 1, 6, 5, 3, 5, 5, 5, 4, 6, 4, 4, 5, 3, 5, 5, 6, 9, 3, 5, 1 3, 3, 4, 4, 2, 1, 4, 6, 5, 5, 3, 3, 6, 5, 4, 3, 3, 7, 2, 5, 4, 5, 8, 6, 4, 3, 3, 5, 6, 4, 5, 4, 4, 6, 7, 5, 5, 4, 4, 7, 2, 2, 1, 1, 5, 4, 4, 4, 2, 5, 4, 3, 4, 3, 5, 5, 6, 4, 4, 2, 5, 6, 4, 5, 3, 6, 4, 6, 4, 5, 5, 6, 4, 4, 4, 5, 3, 2, 4, 6, 3, 5, 7, 6, 7, 5, 5, 4, 4, 5, 7, 8, 7, 4, 4, 3, 4, 5, 3, 6, 7, 6, 3, 4, 5, 6, 5, 3, 3, 4, 5, 4, 6, 7, 6, 6, 5, 5, 4, 1, 3, 7, 4, 4, 5, 5, 1, 7, 6, 6, 3, 3, 6, 6, 5, 5, 3, 5, 2, 6, 4, 4, 6, 3, 6, 5, 7, 5, 4, 5, 5, 7, 4, 5, 3, 7, 4, 2, 5, 4, 9, 4, 5, 4, 5, 4, 7, 2, 3, 6, 6, 4, 3, 4, 6, 2, 5, 6, 4, 5, 2, 2, 2, 5, 5, 6, 7, 5, 6, 5, 5, 6, 4, 5, 5, 4, 3, 5, 2, 7, 5, 4, 2, 4, 3, 2, 4, 7, 4, 6, 5, 3, 7, 4, 3, 5, 3, 5, 5, 7, 5, 3, 5, 4, 5, 5, 3, 1, 6, 7, 4, 3, 4, 6, 5, 4, 4, 6, 6, 5, 1, 4, 4, 8, 1, 3, 8, 5, 4, 2, 2, 2, 2, 4, 5, 2, 6, 6, 3, 5, 5, 4, 3, 5, 4, 5, 6, 5, 3, 2, 5, 1, 4, 6, 4, 6, 4, 6, 5, 7, 3, 5, 7, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 6, 6, 2, 4, 2, 8, 5, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 6, 4, 5, 5, 5, 3, 5, 3, 7, 3, 3, 6, 3, 5, 6, 4, 3, 3, 3, 4, 8, 1, 4, 4, 6, 6, 2, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 6, 4, 7, 2, 2, 5, 6, 5, 6, 5, 5, 6, 1, 4, 5, 3, 4, 8, 6, 4, 5, 4, 5, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 3, 5, 5, 6, 4, 6, 5, 5, 6, 7, 5, 5, 5, 7, 5, 5, 5, 6, 5, 6, 3, 7, 5, 6, 3, 5, 5, 1, 4, 5, 4, 4, 3, 7, 5, 6, 3, 5, 6, 2, 5, 6, 5, 7, 6, 4, 5, 4, 4, 5, 3, 1, 8, 6, 4, 4, 4, 2, 5, 6, 4, 2, 4, 5, 7, 6, 4, 6, 5, 6, 4, 2, 2, 3, 3, 5, 5, 7, 5, 7, 4, 5, 5, 4, 6, 4, 3, 7, 5, 2, 3, 4, 2, 4, 3, 3, 5, 4, 5, 2, 4, 1, 4, 4, 3, 3, 5, 4, 3, 6, 4, 7, 5, 4, 4, 5, 1 4, 3, 7, 5, 4, 2, 4, 5, 5, 5, 5, 5, 4, 2, 1, 5, 6, 2, 4, 5, 2, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 2, 3, 5, 2, 6, 5, 5, 3, 5, 3, 2, 5, 3, 5, 6, 4, 2, 2, 5, 6, 3, 2, 3, 4, 4, 5, 4, 7, 1, 1, 4, 2, 3, 5, 6, 2, 6, 3, 5, 5, 7, 3, 2, 5, 3, 5, 3, 5, 4, 2, 6, 2, 6, 3, 6, 7, 6, 4, 6, 4, 7, 6, 3, 7, 2, 5, 4, 5, 6, 6, 4, 5, 4, 4, 3, 5, 7, 5, 4, 4, 4, 7, 6, 4, 5, 3, 4, 5, 5, 2, 5, 5, 7, 5, 6, 5, 8, 4, 5, 5, 2, 3, 4, 7, 3, 5, 7, 5, 4, 3, 4, 5, 6, 6, 5, 3, 5, 3, 7, 6, 3, 3, 5, 5, 3, 5, 6, 5, 5, 2, 2, 4, 5, 4, 3, 3, 4, 4, 3, 6, 5, 5, 3, 5, 7, 7, 8, 4, 4, 5, 3, 4, 3, 7, 5, 6, 3, 3, 4, 3, 4, 3, 2, 6, 4, 1, 7, 6, 6, 7, 3, 2, 7, 2, 3, 5, 6, 3, 5, 3, 5, 4, 6, 4, 3, 3, 5, 3, 6, 4, 3, 1, 6, 4, 5, 5, 3, 8, 5, 5, 4, 1, 3, 5, 3, 6, 4, 4, 6, 6, 5, 3, 3, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 3, 2, 5, 5, 6, 2, 5, 4, 3, 2, 6, 2, 7, 5, 4, 4, 5, 5, 4, 4, 4, 4, 7, 2, 4, 2, 5, 5, 5, 8, 4, 4, 6, 5, 4, 2, 6, 2, 6, 4, 7, 2, 7, 4, 4, 8, 5, 5, 6, 6, 4, 7, 3, 7, 4, 6, 4, 4, 4, 3, 7, 3, 5, 6, 4, 4, 4, 5, 4, 3, 5, 5, 7, 4, 4, 3, 4, 5, 7, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 2, 2, 8, 4, 4, 4, 5, 4, 6, 7, 2, 6, 6, 5, 5, 5, 5, 6, 5, 7, 4, 4, 5, 6, 6, 3, 3, 8, 7, 3, 3, 6, 6, 5, 2, 4, 2, 6, 1, 4, 5, 3, 3, 7, 6, 6, 4, 3, 4, 3, 3, 4, 2, 5, 5, 6, 2, 5, 5, 6, 5, 2, 5, 6, 2, 4, 3, 2, 6, 3, 3, 0, 5, 3, 3, 4, 5, 3, 5, 2, 7, 4, 3, 3, 4, 4, 5, 4, 2, 5, 6, 4, 6, 2, 3, 4, 7, 7, 4, 5, 7, 4, 3, 3, 6, 5, 4, 3, 3, 4, 5, 5, 4, 6, 3, 3, 2, 4, 5, 4, 6, 2, 5, 5, 2, 5, 4, 5, 4, 4, 6, 5, 3, 0, 5, 2, 6, 2, 2, 3, 3, 4, 4, 6, 3, 4, 4, 5, 4, 4, 7, 7, 3, 5, 6, 6, -1 4, 5, 2, 1, 6, 6, 3, 3, 3, 3, 4, 6, 3, 3, 5, 8, 5, 8, 6, 4, 4, 5, 4, 4, 3, 7, 1, 4, 6, 6, 4, 4, 4, 6, 5, 4, 4, 6, 4, 1, 5, 4, 3, 6, 3, 6, 4, 6, 4, 3, 5, 3, 5, 3, 6, 6, 7, 6, 6, 2, 5, 4, 7, 2, 5, 5, 4, 5, 7, 5, 4, 4, 5, 4, 6, 8, 4, 4, 4, 3, 3, 2, 2, 2, 5, 3, 4, 4, 4, 4, 4, 7, 3, 4, 3, 5, 5, 4, 4, 5, 3, 3, 5, 4, 5, 5, 6, 5, 4, 5, 5, 4, 5, 4, 7, 5, 3, 4, 6, 4, 3, 6, 5, 4, 2, 6, 4, 5, 5, 4, 4, 6, 4, 4, 5, 3, 5, 6, 3, 7, 3, 5, 7, 2, 5, 6, 3, 5, 3, 4, 4, 4, 6, 5, 5, 5, 5, 5, 4, 3, 6, 4, 6, 4, 6, 3, 8, 4, 2, 5, 7, 4, 3, 4, 4, 5, 4, 7, 5, 5, 2, 2, 7, 4, 6, 4, 5, 5, 5, 6, 6, 4, 4, 4, 7, 4, 3, 5, 6, 2, 6, 7, 7, 4, 4, 1, 5, 4, 5, 5, 3, 4, 2, 6, 5, 4, 6, 4, 4, 2, 7, 7, 4, 0, 5, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 4, 5, 5, 7, 6, 3, 4, 5, 4, 6, 6, 5, 3, 4, 6, 6, 4, 5, 4, 3, 5, 3, 4, 3, 3, 7, 5, 5, 5, 3, 5, 3, 3, 4, 2, 5, 5, 5, 5, 3, 3, 7, 7, 6, 3, 3, 5, 3, 5, 5, 6, 6, 3, 5, 3, 5, 8, 2, 4, 3, 5, 3, 3, 7, 4, 6, 6, 3, 3, 6, 2, 4, 2, 6, 4, 6, 3, 4, 4, 5, 6, 4, 2, 6, 3, 7, 4, 3, 4, 4, 5, 5, 4, 3, 2, 7, 6, 4, 6, 4, 4, 5, 2, 4, 5, 5, 3, 5, 6, 4, 4, 5, 6, 6, 3, 7, 3, 4, 5, 3, 5, 5, 6, 6, 4, 5, 6, 5, 6, 5, 7, 2, 5, 3, 6, 4, 5, 5, 6, 5, 4, 5, 5, 4, 4, 5, 4, 3, 6, 3, 3, 7, 2, 4, 5, 5, 5, 3, 4, 4, 3, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 4, 7, 4, 5, 6, 2, 3, 5, 3, 3, 6, 6, 3, 4, 3, 6, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 1, 4, 4, 3, 5, 5, 5, 5, 6, 6, 4, 6, 3, 5, 3, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 2, 5, 4, 2, 5, 4, 5, 4, 7, 3, 5, 6, 3, 4, 5, 5, 6, 3, 3, 2, 8, 4, 5, 5, 6, 5, 3, 3, 4, 4, 1 5, 6, 5, 2, 3, 4, 4, 4, 4, 2, 5, 4, 6, 4, 9, 3, 5, 5, 5, 7, 4, 1, 5, 5, 5, 6, 3, 6, 4, 5, 5, 4, 5, 5, 5, 6, 5, 3, 4, 2, 4, 3, 5, 4, 3, 5, 2, 3, 4, 5, 7, 3, 4, 3, 2, 5, 5, 4, 4, 4, 6, 3, 4, 5, 2, 4, 4, 4, 5, 6, 5, 4, 5, 4, 5, 5, 6, 6, 6, 2, 4, 5, 6, 4, 5, 5, 4, 3, 6, 6, 4, 6, 5, 4, 4, 4, 5, 4, 4, 6, 3, 0, 5, 5, 2, 6, 6, 7, 7, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 5, 3, 3, 5, 5, 4, 6, 7, 7, 7, 5, 5, 3, 5, 5, 3, 3, 6, 5, 5, 4, 3, 4, 6, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 6, 5, 7, 7, 4, 5, 5, 2, 6, 4, 4, 4, 5, 6, 6, 2, 7, 5, 3, 6, 5, 5, 7, 4, 5, 4, 5, 7, 2, 3, 1, 4, 6, 6, 4, 6, 4, 4, 3, 7, 4, 4, 3, 4, 6, 4, 6, 3, 7, 5, 5, 3, 4, 4, 5, 5, 1, 4, 3, 7, 4, 4, 7, 3, 7, 6, 5, 5, 3, 4, 2, 5, 5, 3, 4, 5, 4, 3, 6, 3, 3, 5, 5, 5, 5, 3, 6, 7, 3, 3, 5, 4, 8, 1, 2, 7, 6, 4, 2, 4, 5, 4, 6, 5, 4, 5, 6, 3, 3, 4, 3, 5, 4, 5, 6, 3, 8, 2, 5, 1, 5, 4, 2, 4, 5, 3, 1, 5, 6, 2, 5, 3, 4, 4, 5, 5, 4, 4, 2, 3, 4, 3, 6, 5, 5, 2, 3, 5, 6, 5, 4, 2, 3, 5, 3, 7, 4, 3, 5, 5, 4, 3, 5, 2, 5, 3, 5, 4, 6, 4, 6, 6, 4, 3, 3, 4, 4, 2, 5, 3, 6, 3, 1, 5, 3, 2, 2, 5, 3, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 5, 5, 2, 1, 4, 2, 5, 5, 7, 5, 4, 5, 5, 3, 6, 7, 3, 3, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 2, 3, 6, 7, 4, 6, 5, 5, 5, 4, 5, 3, 5, 5, 3, 5, 3, 6, 1, 5, 4, 5, 4, 5, 6, 5, 6, 5, 2, 6, 2, 3, 2, 2, 4, 3, 6, 6, 4, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 3, 6, 7, 3, 3, 4, 4, 5, 2, 4, 4, 4, 2, 8, 4, 4, 4, 5, 6, 3, 2, 3, 6, 3, 3, 2, 5, 6, 3, 3, 2, 4, 6, 5, 3, 4, 6, 4, 5, 4, 7, 5, 4, 4, 5, 5, 2, 4, 4, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 6, -1 5, 6, 3, 4, 3, 1, 5, 6, 4, 4, 3, 4, 8, 2, 5, 6, 4, 5, 3, 3, 8, 6, 4, 3, 4, 4, 1, 5, 3, 6, 4, 3, 2, 3, 4, 7, 3, 4, 5, 3, 4, 5, 4, 8, 4, 4, 5, 3, 3, 5, 5, 3, 4, 6, 1, 5, 5, 4, 4, 3, 5, 4, 3, 5, 5, 5, 7, 5, 4, 6, 5, 5, 3, 4, 5, 6, 2, 6, 6, 3, 2, 5, 6, 7, 5, 5, 4, 3, 4, 7, 4, 3, 4, 4, 3, 5, 2, 5, 6, 4, 4, 5, 5, 5, 4, 4, 6, 4, 5, 6, 1, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 2, 6, 4, 4, 5, 4, 4, 5, 3, 6, 5, 6, 1, 4, 2, 6, 5, 7, 5, 3, 6, 3, 4, 5, 2, 3, 4, 6, 5, 6, 5, 4, 6, 4, 7, 3, 6, 4, 5, 5, 5, 6, 5, 7, 5, 4, 4, 4, 5, 7, 5, 3, 4, 6, 6, 4, 3, 4, 3, 3, 6, 2, 3, 1, 4, 7, 5, 7, 5, 2, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 3, 3, 5, 4, 4, 4, 5, 3, 4, 3, 4, 1, 3, 1, 2, 3, 2, 7, 6, 7, 6, 5, 4, 3, 7, 5, 5, 5, 6, 4, 4, 2, 4, 3, 4, 8, 3, 4, 7, 6, 3, 6, 4, 4, 3, 4, 3, 4, 2, 5, 5, 3, 9, 4, 4, 8, 4, 2, 5, 6, 4, 4, 3, 3, 5, 4, 6, 1, 4, 4, 6, 5, 3, 3, 5, 5, 5, 7, 6, 3, 5, 5, 3, 4, 3, 3, 3, 3, 5, 5, 3, 5, 6, 6, 4, 1, 4, 5, 5, 6, 3, 6, 3, 3, 4, 6, 5, 4, 6, 4, 3, 5, 6, 5, 6, 1, 6, 4, 4, 0, 2, 2, 3, 6, 2, 1, 6, 5, 4, 4, 6, 4, 4, 7, 5, 3, 7, 6, 5, 5, 7, 5, 7, 4, 3, 8, 3, 4, 3, 4, 6, 5, 6, 5, 7, 4, 4, 2, 6, 4, 5, 3, 4, 4, 5, 7, 3, 5, 4, 3, 3, 2, 3, 3, 2, 6, 1, 4, 3, 3, 3, 6, 4, 4, 3, 5, 2, 6, 6, 4, 5, 4, 3, 6, 6, 7, 1, 5, 5, 7, 4, 4, 4, 6, 3, 3, 3, 5, 4, 2, 7, 5, 2, 4, 6, 4, 2, 3, 7, 4, 7, 4, 6, 1, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 7, 3, 6, 5, 4, 3, 5, 8, 4, 3, 2, 6, 4, 3, 6, 5, 4, 4, 4, 2, 3, 5, 3, 2, 6, 5, 5, 5, 3, 4, 7, 4, 8, 3, 5, 3, 2, 6, 4, 3, 5, 5, 4, 4, 7, 5, 2, 2, 7, 4, 4, 6, 5, 5, 4, 3, 3, 5, 1 6, 3, 6, 4, 6, 4, 5, 3, 5, 4, 7, 7, 3, 3, 2, 5, 7, 4, 5, 6, 5, 5, 5, 5, 4, 4, 8, 4, 3, 4, 5, 6, 6, 2, 5, 6, 3, 3, 4, 7, 3, 5, 5, 2, 5, 4, 7, 3, 2, 5, 4, 3, 4, 8, 2, 6, 5, 5, 4, 3, 4, 3, 6, 5, 7, 5, 4, 6, 7, 4, 5, 6, 5, 6, 6, 3, 5, 3, 3, 4, 4, 3, 2, 4, 5, 4, 7, 5, 3, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 2, 4, 1, 5, 4, 4, 3, 2, 6, 7, 4, 1, 3, 6, 6, 5, 2, 4, 5, 4, 2, 4, 4, 5, 8, 1, 4, 3, 2, 5, 5, 5, 6, 5, 3, 4, 4, 2, 2, 4, 4, 5, 5, 4, 2, 3, 4, 4, 6, 5, 6, 6, 4, 6, 4, 6, 4, 3, 4, 5, 2, 4, 3, 6, 2, 4, 7, 3, 3, 7, 7, 5, 3, 3, 2, 2, 5, 5, 2, 6, 3, 4, 5, 4, 2, 5, 5, 4, 5, 2, 5, 4, 4, 4, 3, 5, 2, 4, 6, 4, 3, 4, 3, 4, 4, 3, 6, 5, 7, 4, 4, 4, 5, 2, 4, 6, 3, 5, 2, 3, 3, 4, 6, 5, 4, 8, 6, 4, 4, 4, 7, 3, 5, 4, 6, 5, 6, 3, 5, 6, 5, 5, 4, 2, 5, 4, 9, 6, 4, 2, 5, 4, 4, 4, 1, 3, 3, 4, 4, 6, 4, 5, 4, 7, 4, 1, 4, 2, 4, 5, 4, 4, 4, 0, 4, 5, 5, 3, 6, 5, 5, 3, 3, 5, 3, 5, 4, 6, 5, 4, 5, 4, 3, 5, 5, 5, 6, 5, 7, 4, 6, 7, 4, 4, 4, 7, 6, 6, 6, 1, 4, 4, 5, 7, 0, 3, 5, 8, 6, 5, 5, 4, 3, 4, 5, 0, 5, 6, 7, 4, 7, 5, 4, 6, 4, 5, 4, 6, 6, 3, 8, 3, 4, 6, 6, 4, 7, 4, 3, 2, 4, 2, 3, 4, 5, 5, 3, 3, 4, 7, 4, 5, 3, 4, 7, 5, 3, 4, 6, 1, 5, 3, 5, 3, 3, 2, 4, 6, 6, 5, 3, 4, 2, 3, 1, 7, 4, 5, 5, 2, 3, 4, 6, 6, 5, 7, 6, 4, 3, 6, 6, 5, 5, 6, 9, 3, 5, 6, 2, 5, 6, 1, 7, 6, 9, 4, 2, 5, 5, 6, 4, 6, 6, 6, 5, 3, 4, 4, 4, 5, 6, 4, 5, 3, 4, 3, 8, 5, 3, 3, 6, 6, 3, 5, 4, 5, 5, 3, 3, 4, 3, 5, 8, 2, 8, 4, 2, 4, 3, 5, 7, 5, 5, 1, 5, 6, 6, 5, 6, 3, 2, 5, 5, 4, 6, 6, 4, 5, 6, 5, 2, 6, 5, 8, 3, 5, 2, 3, 3, 5, 2, 5, 6, 5, 4, 5, 4, -1 6, 5, 6, 4, 2, 3, 5, 4, 5, 3, 5, 2, 5, 2, 7, 4, 5, 5, 3, 5, 5, 6, 4, 4, 4, 2, 5, 4, 3, 3, 5, 5, 3, 7, 6, 4, 4, 3, 7, 2, 7, 5, 6, 1, 3, 6, 4, 4, 3, 5, 5, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 2, 6, 5, 6, 4, 6, 6, 5, 5, 3, 5, 5, 4, 3, 5, 5, 3, 7, 6, 6, 3, 3, 4, 4, 2, 4, 6, 3, 3, 4, 7, 7, 3, 6, 4, 3, 3, 3, 3, 4, 5, 4, 6, 5, 1, 4, 5, 5, 6, 4, 4, 6, 4, 2, 5, 5, 4, 5, 2, 3, 6, 2, 5, 4, 4, 3, 3, 1, 4, 3, 4, 5, 6, 4, 6, 8, 5, 3, 5, 4, 5, 4, 5, 3, 3, 4, 3, 6, 4, 5, 4, 7, 3, 3, 5, 3, 5, 6, 5, 5, 2, 6, 2, 3, 7, 5, 7, 4, 3, 2, 6, 5, 6, 4, 4, 2, 5, 6, 3, 7, 7, 5, 5, 4, 3, 7, 3, 4, 3, 5, 5, 2, 4, 6, 2, 3, 3, 4, 2, 5, 3, 2, 4, 2, 2, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 8, 4, 3, 5, 5, 6, 5, 8, 4, 5, 4, 4, 6, 7, 5, 5, 6, 3, 2, 2, 4, 5, 3, 4, 4, 4, 4, 4, 7, 7, 3, 5, 4, 7, 5, 3, 4, 7, 5, 3, 6, 4, 5, 6, 5, 4, 4, 4, 5, 3, 6, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 2, 2, 5, 5, 4, 4, 4, 5, 5, 3, 3, 3, 8, 5, 5, 4, 2, 6, 8, 4, 6, 4, 6, 4, 6, 5, 4, 4, 3, 7, 4, 3, 5, 4, 4, 7, 5, 4, 5, 6, 3, 2, 4, 6, 7, 4, 4, 5, 6, 6, 5, 7, 3, 6, 2, 5, 8, 4, 4, 5, 4, 3, 4, 4, 6, 2, 5, 3, 5, 3, 8, 4, 3, 6, 6, 4, 6, 6, 7, 2, 3, 4, 5, 4, 5, 5, 4, 2, 4, 3, 4, 2, 5, 3, 2, 5, 4, 6, 5, 6, 4, 5, 4, 4, 7, 5, 5, 3, 4, 7, 2, 5, 5, 5, 4, 6, 4, 3, 5, 5, 7, 2, 5, 6, 3, 6, 4, 1, 7, 4, 2, 3, 5, 5, 5, 7, 4, 1, 5, 7, 4, 6, 4, 4, 4, 3, 3, 3, 6, 5, 4, 5, 4, 6, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 2, 3, 8, 5, 4, 5, 7, 3, 3, 4, 3, 6, 2, 4, 5, 2, 4, 6, 4, 5, 8, 2, 4, 3, 4, 6, 4, 2, 3, 6, 6, 1, 7, 5, 4, 2, 2, 3, 5, 5, 2, 6, 3, 4, 6, 5, 5, 1 6, 2, 5, 6, 3, 4, 5, 8, 4, 3, 7, 3, 4, 3, 6, 4, 5, 8, 5, 4, 2, 4, 4, 6, 3, 6, 2, 2, 8, 3, 4, 6, 4, 4, 6, 4, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 3, 3, 2, 5, 5, 6, 4, 4, 4, 3, 6, 3, 3, 4, 8, 4, 3, 3, 6, 2, 5, 7, 4, 5, 5, 4, 2, 6, 5, 3, 5, 3, 4, 6, 8, 3, 4, 4, 5, 6, 1, 5, 6, 6, 4, 4, 8, 5, 3, 6, 3, 5, 7, 4, 2, 5, 4, 5, 4, 3, 6, 2, 4, 3, 3, 4, 4, 5, 2, 4, 5, 3, 4, 5, 4, 3, 3, 5, 6, 6, 3, 6, 3, 4, 5, 4, 7, 7, 7, 4, 5, 7, 4, 7, 2, 4, 3, 2, 4, 6, 4, 3, 6, 7, 6, 4, 5, 2, 6, 3, 6, 5, 4, 6, 4, 5, 2, 2, 3, 4, 5, 7, 6, 3, 4, 6, 6, 4, 4, 6, 5, 7, 2, 4, 3, 5, 3, 4, 4, 6, 4, 5, 5, 6, 2, 2, 6, 2, 4, 4, 5, 3, 6, 1, 3, 4, 2, 8, 3, 4, 5, 4, 2, 7, 3, 4, 2, 3, 7, 4, 3, 4, 6, 6, 4, 5, 2, 4, 5, 6, 3, 7, 4, 5, 5, 1, 4, 5, 5, 3, 5, 5, 4, 1, 3, 2, 7, 6, 3, 2, 2, 4, 4, 5, 3, 9, 6, 4, 4, 4, 6, 5, 5, 5, 4, 5, 5, 3, 4, 5, 6, 2, 6, 4, 5, 3, 5, 2, 3, 3, 4, 4, 5, 3, 5, 1, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 4, 5, 5, 4, 3, 4, 5, 6, 9, 3, 4, 5, 5, 3, 5, 6, 6, 3, 6, 3, 4, 5, 1, 4, 3, 9, 4, 5, 6, 3, 4, 4, 3, 6, 4, 5, 3, 3, 3, 2, 6, 3, 6, 6, 6, 7, 4, 6, 5, 6, 5, 9, 2, 5, 4, 4, 3, 5, 3, 5, 6, 3, 6, 2, 6, 7, 9, 3, 6, 5, 6, 4, 4, 5, 4, 5, 4, 4, 7, 5, 4, 4, 7, 2, 2, 2, 5, 3, 5, 6, 7, 4, 6, 5, 2, 5, 8, 4, 4, 2, 3, 6, 8, 3, 4, 6, 4, 2, 4, 6, 2, 5, 3, 5, 6, 5, 3, 8, 1, 6, 5, 4, 6, 4, 4, 5, 5, 2, 6, 6, 4, 2, 5, 2, 4, 5, 4, 5, 3, 3, 2, 5, 4, 3, 1, 4, 6, 6, 4, 4, 5, 4, 5, 5, 4, 5, 6, 3, 8, 5, 3, 4, 6, 4, 4, 5, 6, 5, 3, 8, 0, 2, 2, 8, 4, 8, 5, 4, 2, 4, 6, 2, 2, 5, 1, 4, 5, 2, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 4, 6, 4, 7, 7, 4, -1 7, 4, 7, 6, 2, 5, 4, 4, 8, 3, 4, 3, 5, 4, 6, 4, 5, 6, 5, 3, 3, 5, 3, 6, 4, 2, 4, 3, 6, 4, 5, 5, 5, 5, 3, 6, 2, 6, 4, 5, 5, 3, 3, 2, 3, 2, 4, 4, 5, 3, 6, 5, 2, 5, 4, 7, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 3, 5, 3, 5, 4, 3, 3, 5, 4, 4, 6, 4, 6, 7, 3, 4, 1, 3, 3, 2, 6, 5, 5, 2, 4, 5, 6, 3, 3, 7, 3, 3, 4, 4, 5, 4, 2, 6, 3, 6, 7, 4, 2, 3, 3, 2, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 3, 6, 6, 4, 5, 3, 6, 7, 5, 4, 7, 6, 2, 4, 8, 6, 5, 4, 5, 7, 2, 5, 4, 9, 6, 3, 7, 4, 4, 5, 7, 4, 4, 8, 4, 3, 5, 6, 6, 2, 6, 8, 3, 6, 5, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 6, 3, 3, 4, 3, 5, 5, 6, 6, 5, 5, 5, 5, 6, 4, 5, 5, 5, 5, 4, 6, 4, 2, 6, 7, 4, 6, 5, 5, 3, 6, 3, 5, 4, 7, 4, 5, 5, 3, 4, 5, 6, 3, 5, 5, 4, 4, 5, 3, 5, 3, 3, 4, 4, 7, 2, 2, 0, 3, 4, 5, 6, 6, 4, 4, 3, 5, 5, 2, 3, 5, 3, 4, 4, 4, 3, 6, 3, 3, 5, 3, 6, 7, 6, 4, 4, 3, 5, 3, 4, 2, 3, 2, 2, 3, 7, 5, 6, 4, 4, 3, 8, 7, 6, 4, 6, 4, 3, 4, 3, 3, 4, 5, 5, 3, 4, 7, 3, 3, 4, 1, 6, 8, 4, 4, 6, 7, 5, 5, 4, 6, 6, 4, 5, 3, 5, 7, 7, 1, 8, 8, 7, 5, 8, 4, 4, 6, 4, 1, 6, 3, 3, 1, 7, 3, 2, 6, 3, 5, 4, 6, 4, 2, 5, 7, 3, 3, 5, 5, 6, 5, 5, 4, 5, 4, 8, 3, 3, 5, 4, 6, 5, 3, 6, 6, 1, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 6, 2, 6, 6, 5, 5, 3, 2, 4, 5, 4, 3, 6, 4, 5, 5, 4, 4, 6, 6, 6, 2, 4, 5, 3, 5, 3, 5, 4, 2, 5, 3, 4, 5, 6, 4, 5, 4, 3, 5, 5, 4, 3, 5, 6, 4, 9, 3, 4, 5, 7, 4, 4, 5, 5, 5, 3, 5, 5, 5, 4, 6, 6, 5, 7, 5, 5, 2, 5, 4, 6, 2, 3, 2, 5, 6, 5, 4, 6, 4, 5, 3, 4, 2, 8, 4, 3, 3, 5, 4, 5, 4, 6, 6, 4, 3, 4, 7, 5, 4, 3, 5, 3, 4, 4, 7, 3, 6, 6, 7, 3, 6, 9, 4, 3, 5, 3, 6, 5, 7, 5, 6, 3, 4, 4, 5, 4, -1 4, 3, 6, 1, 5, 3, 4, 4, 3, 6, 5, 3, 6, 4, 5, 6, 2, 6, 4, 3, 5, 5, 6, 5, 5, 4, 5, 4, 6, 4, 5, 5, 3, 5, 4, 4, 4, 3, 9, 2, 5, 5, 4, 5, 3, 3, 7, 4, 6, 4, 8, 4, 5, 4, 5, 5, 4, 5, 2, 2, 5, 6, 7, 3, 5, 4, 5, 4, 3, 4, 4, 6, 3, 7, 4, 5, 2, 2, 5, 2, 3, 4, 5, 3, 6, 6, 2, 5, 4, 6, 4, 6, 7, 3, 7, 3, 4, 7, 4, 3, 3, 6, 4, 5, 3, 6, 5, 5, 5, 5, 4, 3, 7, 5, 5, 5, 2, 4, 4, 5, 4, 5, 6, 4, 6, 6, 7, 5, 6, 5, 4, 5, 4, 7, 7, 3, 7, 3, 4, 5, 6, 4, 4, 3, 2, 5, 4, 6, 5, 7, 5, 5, 4, 6, 5, 5, 4, 5, 3, 4, 5, 5, 6, 2, 6, 4, 5, 5, 4, 6, 5, 5, 6, 6, 6, 3, 5, 4, 5, 4, 7, 5, 5, 4, 2, 6, 4, 5, 5, 3, 4, 4, 3, 6, 5, 4, 5, 4, 6, 4, 7, 4, 3, 5, 4, 3, 6, 4, 5, 5, 3, 4, 5, 5, 4, 6, 3, 6, 4, 3, 3, 5, 6, 4, 4, 4, 5, 7, 3, 5, 3, 3, 3, 7, 3, 5, 5, 4, 5, 3, 4, 6, 2, 5, 6, 2, 5, 3, 4, 4, 1, 7, 6, 6, 4, 6, 2, 4, 6, 3, 7, 5, 4, 4, 5, 3, 2, 3, 3, 2, 4, 3, 7, 3, 4, 5, 4, 4, 3, 5, 5, 6, 5, 5, 5, 4, 5, 3, 4, 4, 6, 3, 2, 3, 5, 4, 4, 3, 5, 6, 6, 4, 5, 5, 2, 8, 4, 3, 3, 8, 4, 5, 4, 4, 3, 4, 4, 3, 7, 4, 5, 5, 5, 5, 4, 3, 6, 6, 5, 3, 6, 6, 4, 5, 4, 4, 5, 2, 2, 4, 3, 4, 8, 7, 6, 4, 4, 6, 5, 6, 6, 3, 3, 4, 2, 5, 6, 5, 1, 6, 6, 5, 6, 4, 5, 4, 5, 5, 6, 5, 3, 4, 7, 4, 5, 4, 5, 5, 6, 4, 5, 2, 4, 5, 5, 5, 3, 7, 6, 4, 4, 4, 5, 5, 4, 5, 5, 6, 3, 4, 3, 5, 6, 8, 3, 5, 5, 3, 3, 6, 3, 3, 2, 3, 5, 1, 4, 5, 7, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 5, 2, 6, 8, 3, 6, 7, 5, 5, 4, 4, 1, 3, 6, 6, 4, 3, 5, 1, 4, 6, 3, 4, 6, 6, 4, 3, 5, 5, 6, 2, 5, 5, 3, 6, 6, 6, 2, 6, 3, 3, 1, 5, 4, 6, 7, 3, 6, 3, 2, 3, 9, 4, 3, 6, 6, 6, 2, 4, 4, 2, 8, 3, 6, 4, 5, 5, 2, 5, 1 4, 2, 3, 3, 6, 1, 7, 7, 3, 6, 6, 2, 1, 5, 6, 4, 3, 4, 3, 5, 6, 5, 8, 7, 4, 5, 3, 5, 4, 4, 4, 2, 4, 2, 4, 7, 5, 3, 6, 4, 3, 7, 2, 4, 4, 6, 4, 3, 5, 4, 4, 3, 7, 4, 8, 7, 3, 6, 3, 4, 6, 4, 3, 5, 3, 4, 5, 4, 9, 5, 6, 4, 5, 5, 4, 3, 6, 4, 5, 3, 4, 4, 2, 4, 6, 6, 5, 6, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 2, 5, 4, 5, 3, 5, 4, 6, 6, 6, 6, 6, 5, 3, 7, 6, 4, 3, 3, 5, 6, 3, 5, 4, 4, 3, 4, 3, 5, 6, 7, 5, 4, 4, 6, 5, 4, 3, 5, 5, 5, 4, 2, 3, 5, 4, 6, 4, 3, 5, 8, 5, 5, 3, 4, 3, 4, 2, 3, 3, 6, 5, 4, 2, 5, 8, 2, 3, 3, 2, 7, 3, 6, 2, 6, 4, 5, 3, 6, 4, 7, 5, 4, 3, 2, 4, 4, 6, 4, 6, 6, 6, 6, 6, 4, 8, 5, 4, 7, 7, 6, 4, 5, 4, 6, 5, 1, 5, 4, 4, 3, 5, 5, 4, 7, 5, 6, 5, 4, 2, 3, 5, 2, 6, 2, 6, 5, 5, 4, 5, 4, 2, 5, 5, 4, 2, 5, 4, 4, 3, 4, 7, 8, 4, 4, 7, 5, 9, 8, 7, 6, 2, 3, 5, 5, 5, 5, 4, 4, 7, 5, 2, 6, 5, 5, 5, 6, 1, 7, 7, 5, 2, 6, 3, 6, 3, 5, 5, 7, 3, 4, 3, 2, 3, 4, 5, 4, 5, 4, 3, 5, 4, 4, 3, 4, 6, 5, 5, 3, 3, 4, 5, 6, 5, 2, 6, 4, 3, 3, 4, 5, 5, 5, 4, 6, 5, 5, 3, 4, 5, 5, 6, 3, 4, 2, 2, 5, 5, 5, 5, 5, 3, 6, 6, 4, 4, 6, 3, 3, 5, 5, 4, 2, 8, 6, 5, 8, 4, 6, 5, 6, 5, 5, 7, 2, 4, 6, 5, 4, 7, 4, 5, 7, 7, 4, 4, 5, 2, 7, 4, 3, 4, 4, 6, 2, 5, 7, 5, 4, 7, 5, 3, 3, 4, 3, 6, 2, 3, 2, 4, 3, 4, 6, 5, 3, 3, 3, 6, 4, 3, 5, 2, 6, 3, 4, 6, 7, 6, 5, 4, 4, 5, 4, 3, 5, 6, 1, 3, 4, 3, 7, 2, 3, 4, 3, 7, 5, 6, 8, 5, 3, 7, 4, 4, 6, 3, 4, 5, 4, 7, 4, 5, 8, 6, 6, 3, 3, 5, 4, 8, 6, 6, 6, 4, 5, 6, 3, 2, 3, 4, 5, 4, 6, 4, 4, 4, 3, 4, 6, 5, 2, 7, 4, 7, 6, 2, 6, 4, 4, 5, 4, 5, 7, 3, 3, 6, 5, 6, 6, 4, 3, 7, 5, 4, 7, 5, 4, 5, 6, 7, 6, 3, -1 6, 3, 5, 6, 4, 4, 4, 2, 5, 7, 5, 4, 5, 4, 7, 4, 4, 5, 7, 5, 7, 5, 3, 5, 5, 5, 6, 5, 3, 6, 4, 1, 3, 6, 5, 4, 3, 4, 4, 5, 4, 2, 3, 5, 4, 5, 4, 4, 2, 5, 4, 3, 7, 2, 5, 4, 5, 5, 3, 2, 5, 3, 3, 3, 3, 3, 6, 3, 4, 6, 2, 5, 4, 3, 3, 6, 5, 6, 4, 6, 2, 4, 3, 4, 1, 6, 4, 5, 4, 6, 2, 3, 4, 4, 4, 5, 6, 3, 2, 5, 2, 5, 4, 5, 3, 4, 6, 5, 3, 7, 5, 3, 5, 4, 6, 6, 4, 3, 3, 4, 4, 4, 7, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 8, 4, 4, 3, 8, 6, 5, 5, 6, 3, 5, 4, 5, 2, 6, 3, 5, 3, 2, 5, 3, 3, 5, 5, 6, 3, 5, 7, 4, 2, 4, 5, 5, 6, 4, 6, 7, 4, 6, 4, 3, 4, 0, 4, 4, 0, 3, 4, 5, 4, 3, 6, 7, 3, 5, 6, 3, 5, 4, 3, 3, 5, 4, 3, 4, 5, 2, 3, 4, 7, 6, 4, 4, 4, 3, 4, 6, 6, 5, 3, 3, 4, 5, 4, 3, 4, 5, 5, 2, 4, 3, 4, 3, 5, 6, 4, 4, 4, 7, 4, 4, 5, 4, 5, 7, 4, 3, 5, 6, 6, 4, 3, 4, 4, 4, 4, 7, 3, 4, 3, 2, 3, 4, 4, 2, 4, 5, 5, 3, 6, 6, 5, 1, 5, 5, 6, 6, 5, 4, 6, 1, 8, 7, 7, 3, 6, 5, 4, 3, 5, 3, 5, 6, 6, 4, 4, 6, 4, 3, 4, 4, 3, 4, 3, 4, 5, 5, 5, 6, 2, 4, 5, 5, 2, 7, 5, 6, 4, 7, 5, 4, 2, 4, 5, 4, 3, 4, 4, 7, 4, 4, 4, 7, 5, 4, 8, 5, 5, 4, 5, 6, 4, 3, 2, 5, 5, 4, 5, 3, 4, 4, 2, 5, 2, 5, 5, 5, 4, 8, 4, 5, 1, 6, 5, 3, 4, 4, 3, 3, 2, 3, 5, 6, 3, 2, 2, 3, 4, 3, 6, 4, 1, 4, 2, 5, 2, 2, 6, 5, 3, 7, 4, 6, 5, 2, 5, 3, 5, 2, 2, 5, 3, 5, 3, 5, 4, 2, 4, 3, 6, 5, 5, 6, 5, 5, 3, 6, 4, 4, 7, 4, 3, 3, 6, 6, 5, 3, 6, 5, 5, 4, 3, 4, 3, 5, 5, 2, 6, 5, 6, 3, 4, 3, 5, 4, 6, 5, 4, 3, 6, 7, 2, 3, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 5, 7, 5, 4, 1, 7, 5, 4, 4, 3, 5, 3, 5, 6, 5, 3, 6, 5, 5, 6, 4, 5, 5, 6, 4, 5, 6, 4, 5, 5, 5, 7, 6, 4, 4, 3, 6, 3, 5, 6, 5, 1, 5, 5, -1 5, 4, 4, 4, 6, 3, 5, 3, 7, 3, 4, 4, 7, 3, 4, 6, 4, 2, 5, 5, 6, 6, 3, 4, 4, 5, 0, 4, 3, 3, 5, 4, 2, 5, 5, 5, 2, 3, 4, 4, 3, 4, 4, 3, 6, 6, 4, 6, 7, 4, 7, 3, 6, 1, 2, 6, 4, 4, 5, 3, 6, 5, 3, 2, 3, 5, 4, 6, 3, 5, 4, 4, 6, 6, 5, 6, 3, 7, 3, 5, 3, 2, 5, 5, 5, 5, 5, 6, 7, 6, 7, 2, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 6, 4, 3, 7, 5, 4, 2, 6, 4, 4, 6, 5, 5, 6, 5, 4, 8, 4, 6, 4, 2, 6, 7, 4, 5, 4, 7, 3, 3, 6, 6, 3, 4, 5, 6, 5, 4, 6, 6, 4, 6, 6, 6, 7, 2, 5, 5, 5, 5, 7, 6, 6, 6, 2, 6, 3, 6, 5, 4, 7, 4, 4, 4, 6, 4, 3, 3, 5, 7, 5, 5, 4, 5, 3, 6, 5, 3, 5, 3, 4, 3, 4, 6, 6, 5, 4, 3, 4, 7, 2, 5, 6, 3, 5, 6, 3, 6, 4, 4, 7, 5, 6, 5, 3, 4, 6, 6, 5, 4, 7, 4, 3, 4, 4, 4, 2, 3, 4, 5, 4, 4, 3, 6, 5, 4, 3, 4, 2, 4, 2, 2, 6, 3, 5, 7, 5, 4, 4, 4, 6, 2, 4, 5, 5, 8, 4, 4, 8, 2, 3, 3, 5, 5, 3, 2, 4, 2, 2, 4, 3, 7, 5, 4, 4, 6, 4, 2, 5, 5, 3, 6, 5, 2, 4, 7, 4, 4, 4, 4, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 5, 4, 6, 5, 3, 6, 3, 5, 8, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 2, 4, 4, 3, 4, 3, 3, 7, 4, 7, 4, 3, 5, 5, 5, 2, 5, 4, 6, 8, 4, 6, 3, 6, 3, 4, 2, 4, 5, 3, 6, 3, 5, 3, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 4, 6, 5, 4, 2, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 6, 6, 5, 2, 4, 6, 5, 4, 4, 5, 5, 5, 4, 9, 4, 6, 5, 2, 3, 4, 6, 6, 7, 6, 3, 4, 4, 2, 3, 5, 2, 7, 5, 5, 6, 5, 7, 3, 4, 4, 6, 4, 5, 6, 5, 4, 1, 4, 5, 4, 4, 6, 5, 3, 3, 5, 5, 6, 5, 6, 6, 2, 4, 6, 5, 4, 5, 6, 6, 5, 6, 6, 4, 3, 4, 6, 7, 5, 3, 4, 7, 5, 2, 7, 5, 3, 6, 4, 6, 4, 4, 3, 6, 5, 3, 5, 2, 7, 3, 5, 2, 4, 6, 7, 4, 3, 4, 4, 2, 3, 5, 5, 3, 4, 4, 3, 6, 5, 4, 2, 7, 7, 4, 5, 6, 5, 4, 1 5, 6, 6, 2, 3, 5, 4, 4, 5, 4, 3, 6, 5, 5, 6, 5, 4, 6, 5, 6, 4, 4, 4, 5, 2, 7, 5, 5, 6, 4, 5, 5, 4, 5, 4, 6, 5, 6, 5, 1, 6, 3, 6, 3, 2, 5, 4, 3, 3, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 3, 3, 6, 4, 3, 2, 6, 4, 6, 4, 6, 5, 5, 2, 3, 4, 3, 4, 4, 7, 4, 6, 2, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 2, 4, 4, 5, 6, 6, 6, 4, 5, 3, 3, 4, 6, 7, 4, 6, 4, 4, 6, 6, 5, 3, 6, 6, 4, 6, 5, 5, 3, 5, 5, 2, 4, 7, 6, 7, 6, 2, 2, 4, 7, 7, 5, 6, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 6, 3, 4, 6, 5, 6, 4, 5, 2, 3, 3, 5, 5, 4, 5, 4, 6, 5, 4, 5, 4, 6, 7, 5, 2, 4, 6, 5, 5, 7, 6, 4, 3, 4, 4, 4, 4, 4, 5, 8, 3, 8, 5, 4, 4, 6, 4, 3, 3, 4, 5, 7, 3, 4, 6, 5, 3, 4, 4, 6, 5, 7, 4, 3, 6, 5, 5, 3, 4, 5, 5, 5, 2, 3, 6, 1, 6, 8, 2, 7, 5, 3, 6, 7, 4, 6, 5, 4, 4, 4, 7, 5, 3, 3, 6, 3, 5, 4, 2, 3, 4, 7, 3, 4, 7, 6, 4, 4, 4, 6, 5, 3, 3, 7, 5, 4, 4, 4, 4, 6, 5, 4, 4, 5, 8, 5, 3, 5, 3, 4, 3, 6, 6, 7, 4, 6, 5, 6, 5, 5, 5, 3, 2, 4, 7, 3, 5, 5, 2, 5, 3, 5, 7, 7, 5, 5, 4, 7, 5, 2, 5, 5, 6, 7, 4, 6, 8, 4, 3, 6, 3, 6, 7, 3, 5, 4, 4, 6, 4, 6, 4, 8, 6, 2, 5, 7, 5, 5, 7, 1, 7, 3, 4, 3, 7, 5, 5, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 2, 5, 5, 2, 4, 6, 5, 4, 4, 5, 5, 5, 2, 3, 5, 5, 4, 6, 3, 4, 3, 4, 5, 4, 3, 4, 3, 5, 5, 4, 5, 5, 2, 3, 2, 3, 2, 5, 6, 4, 6, 9, 7, 4, 3, 5, 7, 6, 7, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 1, 5, 5, 5, 2, 3, 5, 4, 4, 4, 7, 5, 3, 5, 5, 7, 3, 4, 4, 4, 5, 5, 2, 1, 4, 5, 4, 4, 2, 6, 3, 4, 4, 6, 3, 4, 6, 2, 5, 4, 2, 4, 4, 5, 4, 3, 4, 2, 7, 4, 4, 3, 2, 3, 4, 4, 6, 4, 3, 4, 6, 3, 5, 3, 3, 5, 3, 4, 4, 4, 6, 7, 7, 4, 3, 6, 2, 7, 5, 5, 5, 5, 4, 5, 4, 1 2, 3, 5, 6, 3, 6, 4, 6, 2, 7, 5, 5, 2, 3, 6, 4, 3, 5, 8, 3, 4, 5, 3, 3, 5, 3, 6, 6, 1, 5, 5, 3, 2, 7, 8, 2, 6, 1, 5, 1, 4, 5, 3, 4, 6, 5, 6, 4, 4, 6, 5, 5, 4, 6, 6, 6, 9, 5, 3, 4, 3, 4, 4, 3, 4, 5, 3, 2, 4, 4, 4, 8, 3, 5, 6, 5, 3, 3, 4, 5, 3, 2, 3, 6, 4, 6, 5, 6, 2, 7, 7, 5, 6, 5, 5, 3, 6, 4, 5, 4, 5, 5, 4, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 2, 5, 4, 3, 5, 5, 4, 6, 4, 5, 5, 4, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 3, 4, 6, 5, 3, 5, 6, 6, 5, 5, 7, 4, 6, 7, 3, 6, 5, 7, 5, 4, 2, 5, 5, 4, 3, 4, 4, 5, 5, 2, 4, 5, 6, 4, 4, 5, 5, 5, 5, 3, 2, 5, 4, 5, 4, 4, 3, 6, 3, 4, 4, 8, 5, 2, 2, 3, 3, 4, 6, 5, 4, 5, 5, 6, 7, 3, 5, 5, 5, 7, 5, 5, 4, 6, 5, 2, 3, 4, 4, 4, 6, 3, 5, 2, 6, 5, 4, 6, 5, 8, 3, 7, 4, 5, 4, 5, 2, 3, 5, 6, 4, 4, 6, 5, 5, 5, 2, 6, 4, 6, 5, 3, 5, 4, 1, 4, 5, 6, 4, 4, 5, 6, 3, 5, 5, 5, 3, 5, 2, 4, 5, 4, 4, 5, 1, 4, 4, 4, 3, 5, 4, 4, 3, 6, 5, 3, 5, 5, 4, 6, 6, 9, 2, 5, 4, 4, 6, 2, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 5, 4, 4, 6, 5, 4, 2, 4, 3, 3, 5, 2, 3, 5, 1, 6, 4, 3, 2, 6, 2, 5, 2, 4, 1, 2, 5, 6, 3, 4, 4, 6, 5, 5, 5, 5, 5, 3, 5, 7, 7, 4, 4, 5, 4, 4, 7, 4, 6, 3, 1, 8, 4, 5, 2, 5, 3, 4, 4, 4, 3, 6, 4, 4, 4, 4, 8, 6, 8, 2, 7, 4, 3, 7, 6, 4, 4, 3, 7, 8, 4, 5, 6, 5, 5, 4, 9, 4, 5, 5, 3, 5, 6, 5, 5, 5, 2, 1, 7, 8, 2, 4, 6, 6, 3, 4, 5, 4, 4, 7, 6, 6, 4, 3, 5, 2, 4, 6, 4, 3, 3, 6, 6, 7, 5, 5, 3, 3, 2, 3, 7, 6, 4, 5, 4, 6, 7, 3, 3, 4, 4, 5, 8, 8, 2, 4, 4, 4, 5, 4, 3, 4, 2, 7, 5, 5, 1, 6, 3, 6, 3, 4, 5, 6, 3, 6, 4, 4, 6, 5, 3, 3, 2, 4, 4, 5, 5, 7, 6, 6, 6, 3, 3, 2, 5, 4, 3, 6, 6, 4, 4, 3, 4, 1 2, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 7, 5, 5, 3, 5, 5, 6, 5, 6, 7, 6, 5, 6, 3, 4, 6, 4, 4, 6, 3, 6, 6, 4, 3, 6, 2, 4, 5, 6, 6, 4, 7, 1, 6, 2, 3, 2, 3, 3, 2, 3, 7, 6, 4, 4, 3, 4, 6, 4, 3, 6, 1, 5, 3, 6, 3, 3, 2, 6, 4, 4, 3, 5, 4, 3, 3, 3, 5, 2, 4, 5, 4, 5, 5, 5, 5, 3, 7, 3, 4, 0, 5, 4, 4, 3, 5, 5, 6, 3, 3, 1, 4, 6, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 2, 2, 5, 4, 3, 4, 6, 7, 4, 4, 1, 6, 7, 5, 3, 3, 7, 3, 4, 5, 5, 2, 3, 6, 3, 4, 5, 4, 7, 5, 2, 5, 6, 7, 6, 5, 4, 4, 5, 2, 4, 3, 5, 5, 5, 5, 6, 4, 5, 7, 4, 2, 4, 3, 6, 7, 5, 4, 5, 3, 5, 3, 5, 4, 6, 5, 4, 6, 5, 4, 5, 2, 5, 4, 5, 2, 3, 3, 3, 5, 5, 4, 6, 4, 5, 6, 4, 3, 5, 3, 6, 1, 3, 6, 5, 5, 1, 5, 5, 5, 3, 4, 3, 5, 4, 3, 4, 6, 6, 4, 6, 5, 8, 4, 4, 7, 1, 4, 6, 5, 3, 4, 5, 2, 5, 7, 5, 5, 6, 4, 6, 6, 7, 2, 6, 4, 4, 6, 5, 4, 5, 7, 3, 1, 7, 5, 6, 5, 4, 3, 3, 6, 2, 6, 3, 5, 5, 4, 3, 7, 4, 4, 7, 3, 3, 4, 6, 2, 5, 3, 2, 0, 8, 3, 6, 2, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 6, 3, 4, 4, 6, 4, 0, 7, 4, 4, 3, 0, 6, 4, 2, 5, 4, 3, 7, 7, 3, 6, 7, 5, 3, 6, 4, 5, 3, 3, 1, 5, 2, 5, 5, 6, 7, 3, 5, 2, 4, 2, 5, 3, 5, 3, 3, 4, 2, 7, 4, 6, 5, 7, 5, 3, 5, 4, 5, 3, 6, 4, 3, 7, 2, 3, 4, 5, 4, 6, 6, 4, 3, 3, 5, 4, 2, 6, 3, 5, 6, 3, 5, 5, 4, 3, 4, 5, 3, 4, 3, 2, 7, 4, 5, 3, 5, 5, 5, 2, 5, 4, 3, 7, 6, 5, 4, 5, 3, 4, 4, 6, 4, 5, 4, 5, 3, 4, 6, 4, 6, 5, 5, 4, 4, 2, 4, 4, 2, 3, 2, 3, 5, 3, 6, 4, 4, 4, 3, 5, 5, 4, 4, 8, 3, 6, 4, 5, 3, 2, 4, 4, 3, 7, 6, 7, 6, 7, 6, 7, 5, 3, 3, 6, 3, 5, 4, 5, 3, 6, 3, 4, 5, 2, 5, 5, 5, 3, 1, 3, 4, 6, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 1 6, 4, 3, 5, 4, 4, 5, 2, 5, 4, 3, 5, 5, 6, 4, 6, 5, 5, 3, 3, 6, 5, 7, 3, 5, 4, 5, 5, 4, 7, 5, 0, 4, 6, 7, 5, 6, 5, 5, 6, 5, 1, 3, 5, 4, 3, 2, 5, 3, 5, 5, 5, 5, 4, 3, 4, 6, 1, 4, 5, 6, 5, 3, 2, 3, 6, 2, 4, 2, 6, 5, 6, 3, 3, 2, 4, 5, 5, 3, 5, 2, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 6, 7, 6, 4, 4, 3, 4, 5, 3, 5, 6, 3, 5, 5, 4, 6, 5, 4, 4, 5, 4, 6, 5, 2, 6, 3, 3, 5, 3, 4, 3, 5, 3, 7, 4, 2, 8, 5, 5, 3, 5, 5, 6, 3, 5, 5, 4, 4, 5, 4, 7, 5, 5, 2, 5, 2, 5, 3, 5, 5, 4, 6, 4, 5, 4, 5, 4, 4, 5, 2, 3, 8, 6, 3, 6, 3, 5, 3, 3, 8, 2, 6, 3, 4, 6, 7, 3, 5, 7, 3, 4, 2, 6, 6, 2, 4, 6, 4, 5, 6, 3, 2, 3, 6, 3, 3, 5, 3, 3, 5, 5, 5, 5, 4, 6, 5, 5, 4, 2, 4, 4, 1, 6, 4, 5, 1, 5, 3, 6, 3, 5, 4, 4, 5, 4, 7, 6, 4, 4, 1, 4, 3, 5, 4, 5, 5, 5, 6, 5, 4, 6, 8, 4, 5, 3, 6, 5, 4, 7, 6, 5, 4, 7, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 7, 3, 7, 5, 2, 4, 5, 3, 2, 3, 3, 4, 5, 7, 7, 3, 3, 5, 3, 7, 3, 4, 4, 4, 6, 3, 6, 4, 2, 6, 2, 4, 5, 6, 4, 6, 4, 6, 0, 5, 2, 4, 6, 4, 6, 4, 4, 7, 5, 5, 4, 7, 4, 4, 6, 4, 4, 3, 4, 6, 2, 4, 8, 6, 3, 5, 4, 4, 3, 6, 6, 2, 4, 4, 6, 7, 4, 2, 4, 4, 4, 6, 4, 4, 2, 7, 4, 3, 4, 3, 6, 2, 5, 3, 2, 4, 5, 4, 5, 4, 7, 5, 4, 3, 9, 6, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 6, 3, 4, 4, 5, 3, 1, 6, 4, 7, 6, 9, 5, 3, 5, 5, 3, 7, 4, 5, 5, 4, 3, 4, 3, 6, 1, 4, 5, 3, 4, 5, 6, 4, 4, 4, 6, 3, 1, 4, 1, 5, 5, 4, 5, 4, 2, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 2, 4, 2, 5, 7, 7, 3, 4, 4, 3, 5, 5, 5, 1, 6, 5, 7, 3, 4, 4, 8, 5, 6, 6, 5, 5, 5, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 8, 7, 2, -1 4, 5, 4, 3, 4, 4, 5, 6, 5, 5, 4, 4, 4, 3, 5, 5, 7, 4, 5, 5, 5, 4, 5, 4, 5, 6, 4, 5, 7, 4, 4, 6, 2, 5, 7, 9, 3, 3, 4, 2, 5, 2, 4, 2, 4, 5, 5, 4, 3, 4, 6, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 3, 8, 3, 2, 6, 1, 5, 6, 6, 7, 3, 6, 6, 2, 5, 4, 3, 3, 3, 1, 2, 2, 4, 4, 7, 4, 7, 5, 5, 7, 4, 6, 5, 4, 7, 2, 5, 4, 1, 4, 3, 8, 0, 0, 7, 6, 3, 4, 5, 5, 3, 5, 6, 3, 6, 3, 4, 3, 4, 3, 5, 5, 5, 4, 1, 5, 6, 7, 5, 6, 2, 5, 3, 4, 3, 2, 5, 6, 4, 4, 4, 5, 3, 7, 3, 3, 6, 5, 4, 8, 6, 7, 6, 4, 3, 3, 4, 7, 5, 4, 2, 4, 3, 6, 3, 6, 5, 3, 3, 5, 4, 6, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 6, 7, 4, 4, 3, 3, 7, 4, 4, 2, 4, 4, 2, 3, 6, 2, 4, 5, 4, 5, 5, 6, 5, 4, 2, 4, 6, 5, 4, 4, 3, 2, 4, 2, 5, 4, 4, 2, 2, 4, 6, 5, 6, 4, 5, 3, 6, 4, 6, 4, 5, 6, 5, 3, 4, 6, 4, 4, 5, 7, 7, 6, 7, 5, 7, 6, 4, 3, 4, 3, 4, 5, 3, 6, 5, 5, 4, 5, 3, 4, 7, 3, 5, 3, 8, 3, 5, 1, 4, 2, 7, 7, 3, 6, 4, 6, 6, 5, 2, 4, 7, 6, 3, 3, 5, 5, 4, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 3, 8, 3, 5, 3, 6, 5, 4, 3, 2, 5, 2, 8, 5, 3, 7, 4, 1, 4, 5, 3, 6, 4, 5, 5, 2, 5, 4, 3, 2, 9, 4, 3, 2, 6, 1, 4, 3, 5, 2, 4, 3, 4, 4, 5, 6, 3, 5, 3, 3, 5, 4, 6, 3, 5, 4, 3, 4, 4, 7, 5, 7, 2, 3, 5, 8, 0, 6, 2, 4, 7, 6, 8, 5, 3, 3, 3, 2, 4, 5, 4, 5, 2, 3, 4, 2, 7, 4, 8, 6, 6, 6, 6, 4, 3, 5, 5, 5, 1, 5, 7, 5, 4, 7, 3, 4, 8, 3, 1, 5, 6, 1, 6, 5, 3, 5, 5, 4, 5, 6, 7, 5, 6, 6, 5, 5, 5, 6, 4, 4, 6, 4, 2, 3, 5, 5, 3, 4, 5, 3, 3, 4, 2, 4, 5, 4, 5, 5, 6, 5, 6, 5, 2, 7, 8, 5, 5, 2, 3, 5, 6, 5, 6, 3, 4, 5, 5, 7, 3, 3, 3, 5, 6, 4, 5, 4, 5, 5, 5, 6, 3, 4, 4, 6, 4, 2, 6, 4, 6, 5, 5, 6, 5, 3, 3, 4, 5, -1 5, 7, 3, 5, 4, 8, 5, 4, 5, 3, 4, 4, 3, 3, 7, 6, 4, 5, 3, 3, 5, 5, 2, 5, 4, 5, 4, 4, 6, 6, 2, 5, 4, 4, 4, 3, 5, 6, 4, 2, 3, 7, 4, 3, 6, 5, 1, 4, 3, 3, 7, 5, 5, 1, 3, 5, 4, 3, 5, 6, 6, 3, 5, 4, 5, 2, 2, 6, 7, 5, 3, 6, 4, 4, 3, 5, 4, 4, 4, 4, 6, 6, 2, 4, 4, 3, 5, 5, 5, 6, 4, 6, 4, 3, 7, 4, 4, 6, 5, 5, 3, 5, 4, 4, 5, 4, 3, 4, 6, 6, 5, 4, 5, 2, 5, 3, 5, 0, 5, 4, 1, 4, 4, 4, 2, 3, 4, 7, 4, 4, 4, 4, 3, 5, 5, 4, 3, 6, 4, 4, 3, 7, 6, 4, 6, 4, 3, 3, 7, 3, 5, 8, 6, 1, 4, 5, 6, 5, 5, 4, 4, 3, 7, 6, 2, 5, 3, 2, 2, 4, 4, 4, 8, 2, 7, 6, 5, 4, 5, 5, 4, 3, 5, 4, 4, 4, 8, 5, 8, 4, 4, 4, 2, 6, 6, 6, 1, 7, 5, 1, 4, 4, 6, 4, 3, 2, 4, 3, 4, 4, 3, 4, 6, 5, 3, 2, 1, 7, 4, 4, 2, 3, 4, 2, 5, 2, 5, 4, 4, 6, 4, 4, 6, 4, 5, 5, 5, 3, 4, 4, 3, 3, 3, 8, 4, 3, 7, 4, 6, 4, 7, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 6, 2, 4, 4, 5, 4, 2, 7, 2, 5, 5, 5, 6, 7, 5, 6, 2, 4, 1, 7, 5, 4, 3, 7, 6, 4, 6, 5, 6, 2, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 3, 4, 5, 4, 6, 4, 5, 3, 6, 4, 3, 2, 3, 6, 4, 6, 5, 4, 5, 3, 3, 4, 3, 5, 3, 5, 3, 4, 8, 4, 4, 3, 5, 5, 3, 7, 6, 4, 5, 4, 5, 4, 4, 3, 7, 3, 2, 4, 1, 3, 4, 4, 1, 2, 5, 6, 5, 6, 5, 4, 4, 7, 5, 5, 4, 5, 5, 1, 3, 2, 6, 4, 6, 5, 5, 3, 2, 3, 5, 3, 4, 3, 3, 6, 3, 4, 4, 4, 4, 3, 2, 3, 5, 7, 4, 4, 3, 4, 6, 7, 6, 1, 2, 4, 4, 4, 6, 4, 4, 3, 5, 5, 5, 5, 4, 2, 5, 1, 6, 7, 7, 5, 5, 3, 4, 6, 5, 6, 3, 5, 1, 5, 4, 4, 5, 3, 6, 5, 5, 6, 7, 4, 6, 3, 4, 3, 7, 4, 6, 4, 4, 6, 5, 5, 4, 4, 6, 6, 5, 4, 3, 4, 7, 7, 6, 4, 5, 3, 6, 6, 5, 2, 2, 3, 3, 4, 3, 4, 6, 3, 5, 4, 5, 2, 4, 4, 2, 2, 4, 4, 3, 7, 4, 6, 6, 6, 4, -1 3, 3, 5, 2, 2, 4, 4, 2, 7, 4, 7, 3, 5, 4, 4, 7, 3, 5, 7, 3, 5, 4, 6, 3, 4, 4, 4, 8, 8, 3, 3, 6, 3, 5, 5, 4, 2, 5, 4, 5, 7, 5, 5, 5, 5, 4, 4, 2, 3, 5, 7, 6, 6, 2, 3, 7, 4, 4, 5, 5, 2, 2, 2, 5, 3, 4, 4, 7, 5, 4, 4, 3, 4, 4, 5, 4, 1, 1, 3, 5, 4, 4, 5, 4, 4, 3, 5, 6, 5, 2, 7, 6, 7, 3, 6, 1, 7, 5, 5, 3, 4, 6, 2, 4, 5, 5, 8, 4, 4, 6, 4, 5, 6, 5, 2, 4, 6, 5, 4, 5, 6, 6, 3, 3, 5, 6, 4, 5, 5, 2, 6, 5, 4, 2, 5, 6, 5, 5, 5, 4, 1, 4, 2, 4, 5, 6, 4, 3, 4, 6, 2, 5, 4, 2, 4, 6, 4, 5, 3, 3, 7, 3, 4, 2, 5, 6, 8, 6, 4, 5, 5, 5, 5, 3, 5, 5, 4, 6, 8, 5, 5, 7, 3, 4, 8, 5, 7, 6, 5, 3, 5, 2, 3, 6, 4, 3, 4, 4, 7, 4, 1, 3, 4, 6, 4, 5, 3, 6, 3, 6, 5, 5, 3, 5, 4, 7, 6, 3, 5, 2, 5, 4, 5, 4, 6, 4, 4, 3, 1, 6, 6, 4, 6, 5, 3, 5, 4, 2, 3, 4, 4, 7, 3, 4, 5, 6, 5, 3, 4, 5, 6, 5, 3, 2, 3, 3, 4, 6, 4, 6, 4, 4, 5, 4, 4, 3, 3, 5, 5, 5, 4, 5, 5, 6, 3, 2, 4, 3, 5, 6, 1, 2, 4, 6, 6, 3, 5, 3, 6, 4, 6, 3, 3, 2, 0, 6, 3, 5, 3, 6, 3, 2, 4, 4, 3, 5, 6, 5, 4, 5, 7, 2, 4, 5, 3, 5, 6, 6, 9, 4, 4, 6, 5, 4, 5, 5, 7, 5, 3, 5, 4, 8, 5, 4, 6, 3, 2, 5, 4, 5, 3, 4, 7, 3, 4, 6, 3, 5, 3, 4, 3, 2, 6, 7, 4, 4, 0, 7, 3, 6, 6, 3, 5, 4, 7, 3, 7, 5, 2, 6, 4, 4, 3, 6, 4, 4, 6, 6, 2, 4, 2, 3, 5, 4, 3, 3, 3, 4, 5, 6, 6, 5, 3, 8, 4, 6, 5, 4, 5, 5, 6, 5, 6, 5, 5, 5, 6, 6, 3, 4, 3, 0, 6, 2, 5, 0, 3, 4, 4, 4, 4, 3, 3, 4, 1, 6, 4, 4, 5, 5, 5, 5, 4, 2, 3, 3, 4, 7, 5, 3, 3, 4, 2, 6, 2, 2, 3, 4, 4, 5, 6, 7, 4, 1, 2, 6, 5, 2, 4, 4, 4, 6, 4, 5, 3, 3, 1, 3, 5, 4, 2, 2, 2, 4, 5, 8, 3, 4, 4, 5, 5, 5, 4, 3, 6, 4, 5, 3, 3, 7, 3, 6, 7, 1, 4, 6, 5, 3, 4, 4, -1 5, 1, 5, 3, 3, 6, 4, 5, 6, 6, 6, 4, 6, 3, 5, 4, 5, 4, 6, 2, 6, 4, 6, 3, 6, 4, 2, 6, 3, 7, 5, 8, 4, 7, 3, 4, 6, 5, 5, 4, 4, 4, 4, 4, 7, 6, 3, 5, 3, 5, 6, 2, 3, 2, 3, 4, 7, 4, 3, 3, 6, 3, 4, 4, 5, 4, 6, 5, 6, 5, 6, 6, 2, 7, 2, 4, 2, 4, 5, 7, 5, 3, 4, 6, 7, 3, 4, 6, 5, 3, 4, 4, 4, 5, 2, 2, 2, 6, 3, 3, 4, 5, 4, 5, 3, 3, 6, 7, 3, 3, 6, 3, 6, 5, 4, 1, 5, 4, 5, 6, 5, 5, 4, 4, 4, 1, 7, 4, 4, 7, 5, 4, 5, 4, 3, 5, 6, 4, 4, 6, 5, 4, 3, 3, 3, 4, 3, 7, 5, 7, 6, 5, 4, 7, 5, 2, 5, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 7, 6, 3, 5, 5, 6, 7, 4, 5, 5, 5, 5, 3, 2, 5, 4, 6, 7, 5, 5, 4, 2, 6, 5, 7, 4, 6, 2, 2, 7, 6, 2, 6, 4, 3, 7, 3, 3, 3, 5, 4, 5, 3, 5, 5, 3, 5, 6, 3, 6, 4, 4, 4, 3, 7, 5, 4, 3, 3, 6, 0, 4, 5, 1, 5, 6, 6, 4, 3, 4, 7, 6, 8, 5, 3, 7, 1, 6, 2, 5, 9, 4, 3, 7, 9, 3, 4, 6, 4, 6, 5, 7, 3, 5, 3, 5, 2, 3, 3, 6, 1, 4, 4, 8, 4, 7, 5, 3, 6, 3, 6, 5, 5, 3, 4, 5, 5, 2, 5, 6, 6, 4, 5, 5, 6, 4, 3, 6, 4, 6, 6, 3, 5, 5, 2, 4, 3, 6, 6, 3, 5, 2, 6, 3, 4, 7, 3, 3, 6, 4, 4, 5, 5, 6, 4, 3, 3, 5, 1, 3, 8, 2, 3, 3, 7, 4, 6, 3, 5, 2, 4, 4, 6, 5, 4, 4, 6, 5, 5, 5, 5, 4, 5, 3, 3, 4, 3, 5, 4, 4, 7, 5, 4, 5, 3, 5, 4, 5, 3, 7, 4, 6, 6, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 6, 5, 5, 3, 4, 5, 4, 5, 4, 2, 4, 4, 6, 6, 3, 7, 3, 5, 5, 5, 4, 5, 5, 4, 5, 3, 1, 4, 5, 3, 6, 2, 5, 5, 4, 3, 6, 6, 4, 5, 3, 5, 5, 5, 7, 5, 2, 3, 6, 4, 3, 4, 5, 4, 4, 5, 7, 3, 5, 3, 9, 5, 4, 7, 5, 3, 3, 4, 4, 3, 6, 4, 5, 3, 4, 4, 4, 2, 3, 6, 4, 3, 5, 5, 3, 4, 4, 3, 4, 3, 6, 4, 2, 3, 7, 4, 3, 5, 4, 5, 5, 4, 7, 6, 4, 2, 5, 2, 4, 4, 5, 5, 4, 6, 3, -1 5, 5, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 6, 2, 6, 5, 5, 4, 5, 3, 7, 4, 4, 3, 1, 6, 3, 5, 3, 5, 5, 4, 3, 4, 5, 4, 6, 4, 4, 5, 6, 2, 3, 4, 6, 2, 4, 6, 3, 6, 5, 4, 6, 3, 5, 4, 5, 2, 3, 4, 5, 3, 4, 3, 4, 6, 4, 7, 5, 5, 7, 6, 3, 5, 7, 3, 4, 5, 5, 6, 6, 2, 6, 2, 4, 5, 8, 4, 6, 7, 4, 3, 5, 5, 2, 3, 4, 7, 3, 4, 4, 7, 5, 5, 2, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 3, 5, 2, 6, 6, 2, 5, 3, 6, 7, 6, 4, 6, 4, 2, 4, 4, 4, 3, 5, 2, 6, 4, 7, 3, 3, 4, 6, 3, 5, 7, 2, 5, 6, 4, 6, 4, 5, 4, 5, 3, 7, 6, 5, 3, 7, 4, 3, 4, 5, 4, 6, 3, 3, 2, 4, 7, 5, 3, 3, 6, 8, 5, 5, 4, 6, 5, 4, 6, 5, 4, 6, 4, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 6, 5, 3, 6, 2, 5, 3, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 6, 4, 4, 4, 5, 4, 4, 8, 4, 5, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 2, 4, 4, 3, 3, 6, 3, 4, 3, 5, 3, 4, 5, 2, 7, 5, 4, 6, 5, 5, 5, 7, 3, 5, 6, 3, 7, 4, 4, 4, 5, 3, 6, 3, 2, 5, 4, 7, 5, 4, 4, 3, 4, 3, 6, 5, 6, 4, 2, 4, 6, 4, 3, 7, 5, 4, 4, 3, 4, 2, 6, 4, 3, 5, 5, 7, 3, 5, 4, 6, 3, 4, 4, 5, 4, 5, 8, 6, 3, 4, 5, 8, 5, 6, 6, 3, 6, 5, 2, 2, 4, 3, 5, 3, 3, 4, 4, 4, 6, 5, 5, 5, 4, 3, 3, 5, 5, 2, 4, 4, 4, 6, 4, 7, 7, 6, 3, 6, 5, 6, 4, 5, 3, 3, 7, 4, 5, 4, 6, 5, 4, 4, 7, 6, 3, 9, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 5, 3, 5, 3, 5, 5, 6, 4, 3, 9, 6, 7, 6, 2, 3, 3, 5, 6, 3, 6, 5, 5, 3, 5, 2, 2, 6, 2, 2, 3, 3, 4, 5, 1, 5, 3, 4, 4, 6, 3, 5, 2, 4, 3, 5, 3, 2, 4, 5, 4, 3, 7, 3, 6, 5, 5, 8, 6, 3, 4, 5, 7, 6, 6, 4, 3, 7, 6, 4, 3, 5, 3, 2, 2, 5, 4, 4, 4, 3, 6, 3, 4, 5, 4, 5, 6, 7, 3, 4, 3, 2, 3, 7, 6, 5, 5, 5, 3, 7, 5, 4, 4, 3, 5, 5, 2, 3, 6, 5, 4, 4, 3, 4, 6, 1 7, 5, 3, 3, 3, 3, 7, 3, 4, 4, 4, 4, 5, 5, 4, 6, 4, 6, 5, 6, 9, 5, 6, 4, 7, 4, 3, 2, 3, 3, 5, 6, 5, 5, 6, 5, 5, 4, 5, 7, 4, 1, 5, 3, 4, 5, 4, 5, 5, 5, 2, 6, 5, 4, 4, 2, 5, 3, 5, 5, 3, 1, 2, 4, 4, 2, 7, 5, 6, 4, 5, 6, 3, 7, 6, 5, 5, 2, 6, 6, 6, 1, 5, 5, 5, 5, 5, 4, 3, 6, 4, 4, 4, 2, 5, 4, 6, 6, 5, 5, 4, 5, 3, 3, 2, 5, 3, 5, 3, 5, 3, 5, 3, 4, 4, 3, 3, 6, 7, 3, 4, 6, 5, 3, 8, 5, 4, 6, 5, 6, 6, 3, 4, 5, 4, 3, 6, 3, 4, 3, 6, 4, 6, 2, 5, 4, 4, 2, 5, 8, 8, 4, 3, 6, 3, 2, 6, 5, 3, 3, 7, 3, 5, 4, 5, 5, 6, 4, 7, 7, 5, 8, 5, 4, 7, 7, 3, 7, 3, 5, 3, 6, 1, 2, 4, 2, 8, 5, 5, 7, 6, 5, 4, 4, 2, 3, 3, 5, 5, 4, 4, 4, 4, 2, 5, 5, 5, 4, 5, 3, 1, 3, 3, 6, 4, 4, 4, 1, 5, 5, 6, 6, 3, 4, 5, 2, 4, 5, 6, 5, 4, 4, 2, 6, 2, 3, 5, 3, 4, 7, 5, 6, 3, 2, 3, 4, 6, 6, 4, 5, 6, 5, 4, 4, 6, 6, 2, 6, 8, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 5, 3, 6, 3, 5, 5, 4, 6, 6, 3, 2, 6, 4, 2, 5, 4, 5, 3, 6, 7, 5, 3, 2, 4, 5, 5, 4, 2, 4, 3, 3, 5, 1, 5, 5, 5, 3, 5, 5, 6, 7, 4, 4, 5, 4, 7, 5, 5, 3, 6, 5, 5, 5, 3, 4, 4, 6, 4, 5, 5, 4, 6, 4, 5, 6, 4, 4, 6, 3, 3, 5, 5, 5, 3, 5, 4, 6, 3, 5, 6, 7, 5, 2, 3, 3, 6, 4, 2, 7, 7, 4, 2, 5, 3, 4, 4, 6, 5, 4, 5, 4, 6, 3, 5, 2, 4, 7, 6, 5, 3, 3, 7, 3, 7, 4, 6, 5, 7, 6, 6, 5, 4, 3, 5, 0, 4, 5, 5, 4, 2, 6, 6, 5, 7, 5, 4, 3, 5, 5, 5, 5, 3, 5, 4, 4, 2, 1, 5, 6, 5, 5, 3, 5, 7, 5, 5, 3, 4, 4, 4, 7, 2, 1, 6, 5, 4, 5, 6, 4, 5, 4, 6, 5, 4, 3, 5, 5, 6, 4, 6, 6, 3, 4, 6, 6, 4, 6, 4, 3, 4, 6, 4, 4, 5, 5, 3, 6, 7, 4, 5, 2, 4, 5, 4, 2, 5, 3, 8, 4, 4, 4, 3, 6, 4, 3, 7, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 3, 2, 1 4, 5, 4, 5, 5, 2, 6, 5, 5, 9, 5, 4, 3, 4, 4, 5, 6, 6, 4, 4, 8, 6, 7, 5, 4, 7, 5, 5, 4, 5, 3, 5, 3, 5, 5, 4, 6, 5, 5, 4, 4, 2, 3, 5, 4, 4, 1, 7, 2, 2, 4, 5, 3, 5, 5, 5, 4, 3, 3, 6, 5, 4, 5, 6, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 2, 5, 4, 4, 7, 2, 2, 4, 4, 5, 5, 3, 2, 6, 6, 5, 7, 2, 5, 4, 4, 2, 5, 5, 4, 5, 5, 5, 1, 5, 4, 3, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 9, 4, 6, 4, 5, 3, 5, 7, 4, 5, 3, 5, 3, 5, 5, 3, 6, 7, 3, 6, 1, 1, 3, 6, 4, 4, 4, 3, 6, 5, 6, 5, 5, 7, 4, 4, 6, 5, 5, 5, 3, 3, 3, 3, 6, 2, 6, 5, 4, 5, 5, 5, 6, 5, 4, 3, 4, 6, 3, 6, 5, 6, 4, 4, 4, 4, 5, 6, 5, 4, 3, 7, 4, 5, 7, 6, 5, 6, 4, 4, 2, 4, 6, 3, 5, 7, 2, 5, 5, 6, 6, 5, 5, 5, 4, 3, 4, 4, 5, 3, 5, 2, 3, 6, 4, 4, 4, 7, 7, 5, 5, 4, 6, 5, 7, 4, 5, 5, 5, 2, 4, 5, 3, 6, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 6, 5, 4, 5, 6, 0, 2, 6, 4, 6, 5, 4, 4, 6, 5, 5, 5, 6, 3, 5, 7, 6, 5, 3, 4, 2, 4, 2, 5, 6, 6, 4, 3, 3, 5, 3, 5, 5, 4, 3, 6, 2, 3, 6, 4, 4, 4, 3, 3, 7, 5, 6, 4, 2, 3, 3, 5, 5, 3, 5, 5, 6, 6, 4, 4, 4, 5, 4, 4, 3, 5, 4, 2, 4, 4, 5, 3, 4, 6, 4, 6, 5, 2, 4, 5, 4, 4, 2, 5, 2, 3, 4, 4, 4, 4, 3, 4, 5, 1, 4, 4, 2, 4, 5, 5, 4, 3, 8, 4, 3, 3, 6, 4, 6, 7, 5, 4, 6, 3, 4, 2, 5, 5, 7, 5, 6, 4, 6, 1, 7, 2, 4, 2, 3, 2, 3, 5, 4, 4, 7, 4, 5, 4, 5, 5, 7, 5, 3, 6, 5, 4, 4, 6, 4, 7, 3, 6, 4, 4, 7, 5, 3, 7, 5, 4, 5, 4, 5, 3, 2, 5, 4, 2, 4, 7, 4, 3, 5, 5, 5, 5, 2, 7, 5, 7, 5, 3, 6, 6, 3, 7, 3, 5, 3, 4, 5, 5, 4, 6, 3, 4, 4, 4, 4, 3, 5, 2, 2, 6, 5, 5, 4, 8, 2, 7, 2, 4, 3, 3, 6, 5, 6, 5, 4, 5, 5, 3, 3, 4, 6, 5, 4, 3, 7, 5, 5, 4, 4, 5, 6, 7, 2, 7, 4, 5, 4, 3, 2, 5, 2, -1 3, 1, 6, 4, 4, 4, 6, 4, 6, 3, 5, 4, 5, 5, 6, 6, 4, 7, 3, 3, 4, 5, 5, 4, 3, 3, 5, 7, 4, 4, 4, 6, 5, 3, 5, 5, 4, 2, 4, 5, 5, 2, 5, 4, 3, 5, 5, 4, 3, 9, 6, 6, 8, 2, 4, 4, 2, 3, 4, 3, 5, 4, 3, 3, 3, 7, 3, 3, 4, 4, 6, 5, 5, 5, 4, 7, 3, 5, 6, 3, 4, 3, 4, 5, 5, 5, 7, 5, 5, 5, 4, 2, 5, 3, 3, 4, 7, 4, 5, 5, 2, 5, 4, 6, 6, 4, 7, 4, 7, 4, 3, 3, 5, 6, 5, 5, 4, 3, 6, 4, 2, 5, 4, 6, 7, 5, 2, 8, 4, 5, 3, 3, 8, 6, 2, 0, 3, 5, 6, 5, 5, 3, 3, 4, 4, 3, 3, 6, 7, 4, 7, 4, 4, 3, 6, 4, 6, 4, 6, 5, 4, 2, 5, 4, 3, 3, 4, 7, 4, 4, 4, 5, 6, 4, 4, 5, 7, 6, 2, 4, 4, 4, 3, 4, 2, 5, 6, 3, 5, 7, 8, 5, 6, 3, 4, 5, 6, 6, 4, 2, 7, 4, 5, 6, 5, 7, 4, 4, 4, 3, 4, 5, 3, 7, 5, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 5, 4, 3, 5, 5, 6, 5, 5, 7, 7, 4, 5, 4, 3, 3, 6, 4, 5, 4, 4, 3, 3, 4, 4, 1, 6, 5, 7, 3, 4, 3, 7, 5, 5, 4, 5, 3, 4, 4, 2, 7, 4, 5, 1, 4, 6, 7, 4, 6, 3, 5, 7, 6, 6, 5, 5, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 6, 2, 5, 5, 4, 3, 4, 5, 3, 3, 2, 5, 5, 0, 5, 3, 3, 2, 4, 4, 4, 5, 5, 7, 2, 5, 5, 4, 5, 5, 5, 8, 8, 5, 4, 5, 5, 3, 3, 4, 5, 6, 4, 3, 2, 3, 4, 6, 5, 4, 2, 4, 5, 4, 6, 4, 4, 5, 7, 7, 7, 5, 7, 5, 6, 6, 5, 4, 5, 6, 5, 7, 6, 6, 1, 5, 5, 4, 4, 5, 3, 4, 6, 4, 4, 4, 3, 4, 6, 5, 5, 4, 3, 4, 5, 6, 5, 6, 3, 4, 7, 4, 4, 6, 5, 5, 5, 4, 6, 5, 3, 4, 4, 5, 5, 4, 2, 2, 4, 2, 6, 3, 4, 5, 4, 7, 4, 4, 2, 5, 4, 3, 4, 2, 2, 4, 5, 5, 6, 4, 5, 5, 6, 5, 4, 2, 5, 4, 5, 3, 4, 3, 6, 3, 4, 3, 5, 6, 7, 5, 7, 3, 5, 5, 5, 6, 1, 3, 7, 3, 4, 3, 3, 5, 4, 2, 5, 7, 6, 4, 6, 4, 5, 3, 6, 4, 4, 6, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 6, 4, 4, 2, 1 4, 4, 6, 3, 5, 7, 8, 5, 3, 5, 3, 5, 6, 3, 6, 3, 4, 3, 4, 5, 8, 7, 5, 4, 5, 3, 1, 4, 3, 4, 3, 4, 2, 4, 5, 4, 2, 4, 3, 4, 5, 4, 2, 3, 3, 3, 5, 4, 2, 5, 6, 4, 6, 3, 6, 4, 3, 6, 4, 6, 5, 5, 1, 7, 4, 3, 4, 5, 4, 2, 3, 6, 4, 5, 5, 6, 5, 7, 8, 4, 4, 5, 2, 2, 3, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 2, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 6, 7, 5, 4, 2, 6, 4, 6, 7, 4, 5, 6, 4, 3, 4, 5, 2, 3, 4, 9, 2, 3, 3, 5, 3, 7, 5, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 6, 7, 3, 3, 4, 4, 5, 6, 5, 4, 5, 4, 3, 4, 4, 3, 4, 8, 7, 4, 5, 1, 7, 4, 4, 4, 6, 6, 4, 4, 5, 4, 5, 5, 3, 3, 4, 5, 3, 6, 5, 6, 4, 4, 5, 6, 6, 5, 3, 3, 4, 5, 4, 3, 5, 2, 4, 4, 7, 4, 6, 4, 6, 5, 4, 6, 5, 6, 3, 5, 2, 4, 3, 5, 4, 4, 4, 4, 5, 0, 5, 5, 5, 6, 0, 5, 3, 4, 2, 3, 3, 5, 5, 2, 4, 4, 2, 6, 5, 3, 4, 3, 4, 3, 3, 4, 6, 4, 3, 3, 3, 2, 5, 4, 6, 6, 5, 6, 3, 5, 2, 6, 5, 5, 6, 5, 5, 3, 3, 5, 7, 3, 4, 6, 7, 3, 6, 4, 4, 4, 5, 5, 7, 6, 4, 3, 5, 3, 3, 5, 4, 4, 5, 3, 7, 4, 4, 5, 6, 6, 5, 4, 6, 6, 5, 7, 5, 4, 5, 3, 1, 5, 7, 3, 3, 5, 5, 6, 5, 3, 4, 4, 5, 1, 6, 2, 4, 6, 5, 3, 5, 5, 3, 4, 5, 6, 2, 4, 4, 5, 2, 4, 4, 3, 3, 5, 5, 5, 3, 5, 5, 4, 2, 4, 1, 8, 3, 6, 5, 4, 4, 5, 4, 3, 3, 5, 4, 6, 4, 4, 3, 5, 5, 4, 2, 6, 4, 4, 5, 3, 4, 6, 8, 3, 7, 5, 4, 5, 3, 5, 4, 1, 4, 5, 4, 4, 6, 4, 4, 6, 5, 3, 5, 5, 4, 4, 3, 1, 5, 3, 1, 4, 6, 3, 5, 4, 3, 5, 4, 4, 7, 3, 5, 6, 4, 4, 5, 2, 3, 4, 5, 2, 4, 2, 5, 6, 5, 3, 4, 5, 4, 7, 5, 5, 6, 5, 6, 3, 4, 3, 2, 7, 5, 6, 6, 4, 3, 4, 7, 6, 4, 3, 4, 4, 6, 7, 5, 4, 4, 4, 4, 6, 6, 5, 4, 2, 7, 4, 4, 3, 7, 5, 5, 4, 3, 3, 5, 3, 4, 2, 4, 4, 4, 5, 5, 2, -1 1, 2, 4, 6, 1, 3, 4, 6, 5, 4, 6, 5, 7, 6, 5, 4, 5, 5, 5, 4, 7, 3, 7, 4, 5, 2, 5, 5, 3, 5, 5, 4, 3, 4, 4, 5, 6, 3, 2, 4, 4, 4, 4, 4, 4, 5, 4, 5, 6, 4, 6, 5, 2, 5, 4, 7, 7, 0, 2, 5, 1, 2, 4, 3, 6, 6, 4, 4, 7, 6, 5, 4, 4, 3, 3, 2, 7, 2, 4, 3, 4, 6, 3, 6, 3, 6, 5, 4, 4, 4, 4, 6, 3, 5, 5, 4, 2, 6, 3, 6, 5, 4, 0, 4, 4, 4, 6, 6, 5, 4, 0, 7, 5, 2, 4, 5, 7, 4, 5, 1, 3, 3, 5, 4, 6, 3, 5, 6, 4, 5, 2, 4, 6, 6, 3, 5, 6, 4, 5, 3, 3, 6, 7, 5, 5, 4, 3, 4, 4, 5, 3, 5, 3, 4, 6, 3, 6, 5, 4, 5, 6, 6, 6, 6, 6, 5, 6, 4, 4, 3, 3, 3, 5, 7, 7, 5, 6, 3, 7, 6, 5, 5, 3, 2, 4, 8, 7, 6, 4, 5, 4, 5, 1, 6, 5, 2, 3, 4, 5, 4, 4, 5, 2, 8, 5, 4, 4, 6, 1, 3, 2, 7, 6, 4, 4, 4, 4, 5, 5, 3, 5, 9, 4, 3, 3, 6, 6, 5, 6, 6, 7, 3, 5, 5, 4, 6, 5, 5, 6, 5, 6, 3, 5, 4, 3, 3, 6, 3, 3, 4, 2, 3, 3, 4, 4, 3, 1, 4, 3, 5, 7, 5, 7, 6, 4, 8, 5, 5, 5, 4, 4, 4, 6, 2, 2, 4, 4, 5, 5, 3, 6, 4, 4, 4, 4, 6, 5, 6, 6, 3, 5, 4, 5, 0, 7, 6, 2, 4, 7, 6, 5, 5, 3, 7, 4, 4, 3, 2, 5, 5, 3, 3, 1, 3, 7, 5, 5, 6, 3, 6, 4, 4, 2, 3, 5, 4, 4, 3, 8, 5, 6, 6, 4, 3, 5, 3, 6, 5, 5, 5, 2, 5, 4, 6, 2, 4, 5, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 2, 3, 6, 3, 4, 6, 3, 4, 3, 4, 6, 4, 5, 6, 3, 6, 5, 2, 5, 6, 2, 6, 4, 5, 3, 4, 3, 6, 3, 6, 4, 7, 3, 5, 2, 4, 6, 6, 5, 4, 5, 4, 6, 4, 6, 4, 8, 3, 4, 7, 3, 4, 5, 4, 5, 4, 2, 6, 6, 4, 6, 4, 3, 4, 1, 3, 2, 4, 3, 6, 3, 6, 4, 6, 1, 3, 5, 7, 5, 5, 2, 4, 5, 4, 3, 6, 4, 3, 5, 4, 6, 7, 5, 4, 3, 3, 5, 2, 6, 5, 5, 6, 6, 4, 0, 4, 7, 7, 5, 5, 4, 3, 7, 3, 7, 5, 2, 4, 3, 4, 5, 4, 4, 4, 3, 7, 7, 5, 4, 4, 2, 4, 7, 3, 4, 6, 5, 5, 4, 5, 6, 3, 4, -1 6, 6, 4, 2, 2, 0, 5, 3, 3, 5, 6, 5, 5, 3, 6, 6, 3, 4, 4, 7, 6, 5, 5, 6, 5, 4, 3, 4, 7, 5, 5, 3, 5, 2, 7, 3, 5, 4, 6, 5, 1, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 4, 6, 3, 4, 4, 4, 3, 4, 6, 8, 6, 4, 4, 5, 6, 5, 5, 4, 7, 4, 3, 4, 5, 6, 4, 5, 6, 4, 2, 2, 1, 3, 3, 3, 3, 4, 3, 5, 4, 6, 4, 2, 4, 3, 3, 6, 4, 4, 4, 4, 7, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 6, 6, 3, 5, 3, 4, 3, 4, 7, 4, 2, 5, 5, 4, 7, 5, 5, 0, 4, 5, 2, 9, 5, 7, 6, 2, 5, 0, 4, 2, 4, 2, 6, 4, 5, 4, 8, 5, 6, 5, 6, 6, 5, 4, 5, 3, 4, 4, 3, 5, 6, 4, 3, 5, 2, 2, 5, 3, 5, 6, 4, 6, 3, 2, 4, 2, 3, 5, 4, 4, 5, 7, 4, 4, 4, 6, 7, 5, 4, 6, 6, 6, 6, 6, 5, 5, 4, 8, 4, 4, 2, 4, 1, 8, 7, 3, 6, 4, 4, 3, 3, 4, 5, 1, 4, 5, 4, 4, 1, 5, 5, 6, 6, 7, 3, 4, 4, 2, 4, 2, 4, 5, 5, 5, 4, 8, 2, 5, 7, 4, 5, 3, 1, 4, 5, 3, 3, 5, 6, 6, 2, 6, 2, 4, 4, 6, 5, 5, 4, 5, 5, 2, 6, 6, 5, 5, 2, 3, 5, 6, 4, 4, 2, 4, 3, 6, 6, 5, 6, 4, 3, 8, 5, 8, 4, 4, 6, 7, 5, 5, 4, 3, 5, 7, 3, 4, 6, 5, 4, 4, 3, 4, 3, 4, 6, 3, 6, 4, 6, 6, 3, 3, 6, 6, 5, 7, 8, 2, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 3, 5, 6, 5, 4, 3, 5, 2, 3, 4, 5, 5, 3, 7, 5, 4, 5, 2, 5, 5, 5, 3, 4, 1, 2, 5, 6, 5, 5, 2, 3, 6, 4, 7, 3, 4, 2, 4, 6, 8, 3, 3, 5, 5, 8, 5, 3, 3, 2, 5, 2, 4, 5, 4, 4, 3, 4, 6, 5, 3, 4, 1, 5, 5, 6, 4, 4, 5, 5, 4, 2, 4, 5, 5, 4, 6, 6, 3, 6, 6, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 7, 2, 5, 4, 4, 5, 1, 7, 2, 5, 6, 4, 3, 5, 4, 6, 5, 2, 6, 1, 4, 5, 7, 3, 3, 5, 4, 6, 6, 3, 4, 5, 6, 4, 6, 4, 4, 2, 3, 5, 4, 3, 3, 4, 3, 5, 4, 4, 3, 1, 5, 3, 6, 3, 4, 6, 4, 7, 4, 4, 5, 5, 5, 4, 4, 4, 4, 6, 4, 6, 3, 5, 3, 4, 7, 3, 4, 1 5, 5, 3, 6, 5, 4, 4, 5, 5, 1, 6, 5, 5, 4, 7, 3, 4, 5, 4, 6, 6, 8, 5, 2, 5, 5, 4, 2, 9, 5, 6, 2, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 2, 3, 6, 1, 4, 2, 5, 1, 6, 6, 3, 2, 6, 5, 3, 4, 5, 5, 2, 4, 1, 5, 3, 5, 5, 3, 5, 4, 5, 4, 4, 3, 3, 4, 5, 3, 2, 1, 3, 4, 3, 6, 3, 5, 3, 3, 7, 4, 3, 5, 2, 8, 8, 4, 2, 5, 6, 4, 5, 3, 3, 2, 5, 5, 3, 5, 5, 3, 3, 5, 5, 6, 3, 2, 5, 5, 4, 4, 6, 4, 5, 3, 6, 5, 5, 5, 5, 1, 3, 2, 8, 4, 7, 5, 6, 2, 6, 4, 6, 6, 3, 7, 4, 3, 5, 3, 6, 5, 3, 6, 6, 3, 4, 3, 4, 6, 2, 3, 3, 3, 4, 3, 5, 5, 7, 2, 0, 3, 1, 5, 6, 4, 2, 5, 3, 3, 2, 5, 2, 5, 4, 5, 3, 6, 6, 5, 5, 4, 3, 4, 5, 7, 3, 3, 5, 4, 4, 7, 6, 7, 4, 3, 6, 3, 5, 5, 3, 5, 6, 1, 4, 5, 3, 5, 5, 3, 5, 4, 4, 5, 5, 6, 1, 6, 3, 4, 7, 4, 2, 5, 4, 4, 5, 6, 3, 4, 3, 5, 5, 4, 3, 3, 2, 3, 3, 4, 5, 5, 7, 4, 3, 5, 3, 3, 8, 6, 5, 6, 3, 4, 5, 4, 6, 4, 5, 5, 3, 7, 3, 7, 3, 5, 4, 2, 5, 7, 3, 4, 6, 7, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 6, 6, 5, 2, 3, 7, 4, 5, 5, 3, 4, 4, 1, 6, 3, 5, 6, 6, 3, 4, 1, 4, 7, 6, 9, 5, 4, 7, 4, 6, 5, 4, 6, 5, 6, 2, 5, 7, 2, 3, 6, 4, 4, 4, 2, 6, 2, 7, 5, 6, 4, 4, 5, 6, 5, 2, 5, 3, 5, 5, 2, 5, 6, 5, 6, 5, 5, 5, 3, 1, 6, 2, 7, 4, 3, 3, 4, 4, 5, 6, 4, 2, 3, 4, 1, 2, 3, 4, 5, 6, 6, 3, 5, 5, 6, 4, 4, 4, 8, 7, 5, 2, 4, 6, 5, 4, 4, 3, 7, 6, 5, 7, 5, 6, 4, 4, 4, 2, 4, 3, 3, 3, 3, 3, 5, 4, 6, 2, 6, 4, 7, 5, 4, 4, 6, 3, 5, 5, 4, 6, 7, 5, 6, 4, 6, 5, 2, 4, 1, 6, 3, 6, 5, 4, 3, 7, 6, 8, 5, 4, 5, 5, 5, 7, 4, 5, 5, 6, 2, 4, 2, 5, 3, 4, 2, 5, 6, 5, 2, 4, 5, 5, 3, 5, 4, 6, 5, 5, 6, 4, 8, 6, 5, 2, 4, 4, 3, 4, 6, 4, 4, 3, 6, 3, 4, 4, 1 4, 5, 6, 6, 5, 1, 5, 3, 5, 3, 3, 4, 5, 4, 6, 4, 5, 6, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 3, 5, 5, 3, 1, 1, 7, 3, 4, 6, 4, 5, 5, 4, 4, 6, 4, 3, 7, 6, 5, 6, 4, 2, 4, 3, 5, 5, 7, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 2, 4, 5, 6, 3, 6, 4, 2, 5, 7, 2, 3, 2, 3, 3, 5, 6, 6, 3, 4, 4, 7, 5, 4, 4, 5, 6, 8, 8, 6, 3, 5, 6, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 4, 4, 8, 5, 4, 6, 6, 3, 3, 7, 2, 7, 5, 4, 4, 6, 5, 3, 3, 7, 4, 5, 4, 5, 2, 2, 6, 6, 8, 5, 6, 7, 6, 5, 5, 3, 6, 4, 2, 4, 6, 6, 6, 5, 5, 8, 5, 5, 4, 7, 3, 4, 5, 5, 8, 3, 3, 5, 6, 7, 6, 7, 3, 5, 4, 6, 5, 4, 4, 1, 6, 3, 4, 5, 5, 6, 2, 5, 5, 3, 5, 6, 5, 3, 5, 5, 3, 4, 1, 4, 4, 3, 3, 4, 9, 4, 3, 5, 4, 2, 4, 5, 5, 2, 5, 5, 4, 6, 4, 4, 4, 3, 6, 3, 4, 6, 5, 5, 6, 5, 4, 3, 5, 4, 4, 4, 4, 5, 3, 5, 3, 3, 5, 3, 4, 6, 5, 3, 5, 3, 4, 5, 2, 3, 5, 5, 4, 6, 4, 3, 5, 5, 4, 4, 5, 3, 6, 6, 5, 6, 4, 0, 3, 4, 2, 7, 7, 6, 7, 5, 3, 6, 2, 6, 5, 3, 5, 5, 3, 3, 4, 7, 3, 3, 3, 6, 4, 4, 3, 4, 4, 4, 5, 4, 7, 2, 6, 3, 3, 5, 2, 4, 4, 4, 4, 3, 4, 3, 2, 5, 3, 4, 4, 6, 5, 4, 4, 5, 5, 4, 6, 5, 4, 5, 5, 3, 7, 6, 7, 6, 2, 4, 5, 2, 5, 4, 3, 4, 3, 6, 4, 4, 4, 5, 6, 4, 5, 6, 5, 5, 2, 4, 4, 3, 6, 4, 4, 3, 3, 3, 5, 6, 4, 4, 6, 5, 5, 6, 3, 4, 4, 3, 3, 5, 2, 4, 4, 3, 4, 4, 6, 7, 6, 5, 5, 6, 4, 5, 4, 5, 5, 5, 5, 6, 4, 5, 3, 3, 4, 5, 3, 6, 3, 6, 2, 8, 4, 5, 6, 7, 7, 5, 3, 5, 5, 6, 5, 5, 5, 5, 7, 6, 4, 4, 6, 7, 4, 5, 6, 6, 6, 5, 2, 6, 5, 6, 4, 5, 3, 6, 8, 7, 3, 5, 6, 5, 6, 6, 5, 4, 4, 4, 3, 2, 5, 5, 5, 4, 4, 6, 3, 4, 3, 5, 4, 3, 3, 5, 4, 6, 4, 5, 4, 5, 5, 5, 4, 5, 3, 6, 7, 5, 6, 4, 4, 4, 4, 1 4, 5, 3, 3, 2, 3, 4, 7, 7, 6, 5, 3, 7, 4, 6, 4, 6, 5, 6, 3, 5, 5, 3, 2, 6, 5, 3, 5, 7, 2, 3, 6, 5, 4, 5, 4, 7, 5, 3, 3, 4, 5, 4, 4, 4, 6, 6, 3, 4, 3, 6, 5, 7, 3, 7, 4, 6, 2, 3, 6, 5, 2, 3, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 3, 5, 4, 4, 5, 5, 2, 4, 5, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 6, 4, 7, 4, 2, 5, 5, 5, 5, 6, 6, 5, 4, 2, 5, 5, 5, 4, 6, 2, 2, 4, 3, 4, 7, 5, 4, 5, 3, 4, 7, 6, 5, 4, 4, 4, 5, 5, 2, 6, 6, 0, 3, 2, 5, 7, 3, 1, 5, 3, 4, 6, 8, 7, 3, 4, 5, 5, 3, 2, 4, 6, 4, 3, 4, 7, 6, 5, 5, 4, 5, 1, 6, 4, 7, 4, 6, 6, 5, 5, 6, 3, 3, 3, 4, 5, 5, 4, 6, 6, 6, 6, 6, 4, 3, 6, 4, 5, 4, 4, 4, 5, 1, 3, 5, 4, 7, 2, 3, 3, 7, 3, 4, 3, 5, 5, 5, 5, 4, 3, 6, 6, 5, 4, 5, 4, 3, 5, 5, 6, 3, 3, 7, 5, 5, 7, 5, 6, 3, 6, 5, 3, 4, 3, 4, 2, 7, 6, 4, 6, 4, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 3, 6, 5, 4, 2, 4, 5, 5, 4, 3, 5, 2, 4, 6, 4, 3, 8, 5, 7, 4, 5, 5, 7, 5, 8, 2, 6, 4, 4, 4, 5, 5, 4, 3, 4, 4, 6, 4, 4, 4, 4, 4, 4, 3, 7, 1, 3, 3, 4, 5, 3, 5, 3, 4, 2, 6, 3, 5, 2, 6, 6, 4, 4, 5, 5, 2, 5, 2, 5, 4, 5, 4, 2, 6, 7, 3, 5, 5, 4, 2, 4, 5, 5, 6, 3, 5, 4, 8, 3, 4, 6, 6, 5, 5, 4, 5, 1, 3, 5, 4, 4, 5, 5, 5, 5, 2, 5, 2, 5, 3, 4, 5, 4, 3, 2, 6, 5, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 3, 2, 4, 4, 5, 3, 4, 5, 6, 1, 5, 5, 3, 4, 2, 4, 3, 4, 6, 6, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 4, 6, 5, 3, 5, 4, 3, 5, 8, 3, 5, 3, 4, 4, 3, 4, 4, 5, 6, 4, 4, 4, 6, 4, 6, 5, 4, 4, 5, 4, 6, 5, 4, 4, 5, 3, 3, 7, 7, 4, 5, 4, 5, 4, 2, 3, 4, 4, 3, 3, 4, 5, 4, 5, 6, 7, 7, 6, 4, 2, 4, 5, 3, 4, 5, 2, 4, 1, 4, 7, 4, 1 5, 6, 3, 4, 5, 4, 6, 5, 4, 4, 6, 5, 3, 6, 3, 4, 4, 5, 2, 4, 5, 5, 2, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 6, 5, 4, 3, 5, 5, 5, 2, 4, 3, 4, 5, 4, 3, 6, 1, 5, 4, 5, 3, 3, 4, 8, 7, 6, 4, 6, 3, 5, 3, 2, 4, 5, 4, 5, 6, 7, 7, 4, 4, 5, 5, 6, 4, 3, 8, 4, 4, 4, 2, 4, 2, 5, 5, 6, 3, 5, 2, 3, 4, 3, 3, 3, 1, 3, 6, 5, 5, 6, 4, 6, 6, 3, 5, 4, 2, 3, 2, 4, 5, 2, 4, 5, 6, 4, 6, 4, 3, 6, 5, 3, 5, 3, 6, 4, 4, 4, 5, 2, 8, 5, 0, 4, 3, 4, 6, 4, 4, 3, 4, 4, 4, 5, 4, 6, 2, 6, 4, 6, 6, 3, 3, 5, 6, 3, 4, 5, 6, 3, 2, 4, 2, 2, 6, 5, 3, 5, 6, 6, 6, 3, 7, 4, 7, 4, 4, 5, 2, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 6, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 5, 5, 2, 3, 6, 5, 3, 4, 3, 4, 3, 6, 5, 6, 5, 6, 0, 3, 6, 5, 5, 4, 8, 3, 3, 3, 5, 3, 2, 5, 4, 5, 3, 4, 4, 7, 6, 5, 1, 5, 3, 4, 5, 4, 6, 4, 6, 3, 6, 5, 6, 5, 3, 4, 6, 6, 5, 6, 5, 4, 3, 4, 5, 8, 6, 3, 3, 7, 3, 4, 6, 4, 3, 4, 6, 2, 4, 4, 4, 2, 4, 5, 3, 7, 8, 5, 5, 3, 4, 6, 5, 4, 5, 3, 7, 5, 4, 4, 5, 7, 3, 6, 5, 5, 4, 5, 4, 5, 3, 6, 3, 7, 3, 6, 4, 5, 5, 2, 6, 2, 4, 3, 3, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 3, 6, 6, 8, 6, 4, 3, 5, 3, 3, 5, 3, 4, 6, 5, 4, 5, 4, 5, 2, 7, 6, 5, 4, 4, 5, 2, 5, 4, 1, 1, 4, 4, 4, 5, 4, 4, 6, 1, 4, 4, 4, 3, 6, 3, 4, 4, 6, 5, 6, 7, 3, 7, 7, 6, 7, 3, 5, 4, 6, 3, 4, 6, 3, 3, 2, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 5, 6, 6, 5, 6, 3, 5, 4, 5, 3, 5, 5, 5, 3, 5, 5, 7, 4, 6, 4, 5, 4, 4, 1, 6, 2, 6, 4, 5, 4, 6, 4, 6, 7, 4, 5, 7, 4, 2, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 8, 4, 5, 4, 6, 5, 5, 4, 5, 4, 6, 8, 4, 4, 2, 8, 6, 3, 4, 4, 3, 6, 6, 2, 5, 5, 1 7, 4, 4, 5, 0, 6, 6, 4, 4, 4, 3, 6, 6, 3, 6, 4, 6, 5, 4, 6, 6, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 6, 5, 0, 5, 4, 5, 5, 5, 4, 5, 3, 6, 5, 5, 5, 6, 7, 3, 2, 4, 4, 5, 7, 3, 5, 5, 5, 2, 4, 4, 6, 4, 2, 5, 3, 4, 6, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 5, 4, 2, 8, 4, 4, 4, 3, 2, 5, 4, 3, 7, 5, 4, 4, 3, 2, 6, 3, 6, 5, 4, 6, 1, 4, 2, 4, 7, 2, 3, 5, 1, 4, 5, 5, 4, 3, 5, 4, 4, 6, 3, 4, 7, 7, 7, 7, 4, 8, 4, 6, 5, 4, 5, 4, 4, 4, 6, 4, 8, 2, 3, 0, 4, 3, 3, 6, 3, 4, 3, 4, 6, 3, 6, 6, 6, 0, 5, 2, 5, 4, 3, 7, 6, 4, 5, 7, 8, 5, 6, 2, 6, 3, 2, 6, 4, 4, 6, 4, 4, 4, 7, 5, 2, 7, 5, 2, 5, 6, 4, 4, 8, 2, 2, 3, 5, 2, 3, 3, 0, 4, 6, 7, 2, 6, 2, 2, 5, 5, 3, 3, 3, 3, 5, 1, 5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 5, 6, 5, 3, 2, 6, 4, 5, 5, 4, 3, 5, 6, 6, 4, 2, 3, 2, 6, 4, 6, 6, 1, 5, 4, 3, 3, 2, 3, 3, 4, 6, 5, 7, 3, 5, 4, 5, 6, 6, 3, 7, 4, 5, 5, 5, 3, 6, 5, 3, 3, 4, 2, 4, 2, 3, 6, 6, 4, 5, 3, 4, 4, 9, 3, 3, 6, 3, 7, 4, 4, 4, 2, 6, 7, 2, 5, 5, 2, 5, 5, 3, 6, 4, 5, 4, 3, 3, 5, 5, 3, 5, 4, 3, 2, 3, 7, 3, 5, 4, 3, 5, 3, 3, 4, 4, 4, 5, 7, 6, 4, 5, 2, 4, 4, 3, 5, 5, 2, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 3, 6, 4, 6, 6, 4, 4, 4, 3, 2, 7, 6, 7, 3, 4, 3, 3, 2, 3, 5, 7, 5, 5, 3, 3, 2, 3, 5, 6, 6, 4, 5, 4, 4, 8, 2, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 6, 5, 7, 3, 4, 4, 6, 3, 4, 4, 5, 5, 3, 5, 5, 4, 4, 3, 5, 4, 6, 5, 7, 4, 5, 4, 5, 3, 4, 5, 6, 4, 6, 5, 4, 3, 9, 2, 5, 2, 3, 6, 5, 4, 4, 4, 5, 6, 3, 6, 3, 5, 7, 3, 4, 3, 5, 5, 0, 4, 5, 5, 3, 3, 3, 4, 5, 5, 4, 5, 6, 6, 4, 5, 3, 3, 4, 5, 2, 5, 3, 5, 5, 2, 3, 6, 5, 4, 5, 4, 4, 9, 6, 5, 5, 5, 3, 5, 2, -1 6, 3, 4, 3, 5, 4, 4, 5, 5, 6, 6, 4, 4, 7, 4, 7, 6, 5, 7, 4, 3, 5, 4, 4, 3, 4, 5, 3, 3, 3, 4, 6, 5, 2, 7, 2, 6, 6, 5, 5, 3, 4, 5, 1, 4, 5, 4, 4, 6, 4, 3, 3, 4, 7, 5, 5, 5, 2, 5, 1, 4, 6, 2, 3, 5, 4, 4, 6, 7, 6, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 2, 4, 0, 4, 2, 4, 4, 2, 5, 3, 4, 5, 5, 4, 4, 2, 4, 3, 5, 5, 4, 9, 2, 3, 1, 4, 5, 4, 4, 6, 6, 4, 7, 5, 3, 5, 6, 3, 7, 5, 4, 4, 6, 6, 6, 6, 6, 7, 4, 3, 6, 5, 7, 6, 7, 4, 2, 4, 6, 5, 2, 4, 3, 4, 4, 5, 4, 4, 2, 6, 4, 4, 6, 3, 4, 5, 6, 2, 9, 4, 6, 4, 4, 4, 5, 6, 7, 7, 4, 3, 8, 5, 6, 3, 4, 6, 7, 5, 5, 2, 2, 7, 5, 6, 5, 7, 8, 4, 4, 5, 5, 3, 3, 5, 4, 6, 2, 4, 4, 2, 3, 7, 3, 3, 4, 3, 4, 4, 3, 6, 4, 4, 4, 7, 5, 3, 4, 2, 6, 4, 4, 2, 4, 4, 5, 4, 2, 4, 4, 5, 5, 4, 6, 5, 4, 4, 5, 5, 5, 3, 6, 6, 5, 7, 4, 5, 4, 4, 6, 6, 5, 6, 5, 2, 5, 3, 3, 4, 6, 3, 6, 4, 4, 5, 4, 5, 3, 4, 6, 4, 4, 2, 6, 4, 6, 5, 4, 5, 6, 5, 5, 3, 5, 2, 5, 3, 5, 3, 4, 4, 2, 6, 3, 6, 4, 4, 4, 2, 4, 3, 5, 5, 6, 3, 6, 6, 4, 5, 4, 5, 6, 5, 5, 7, 2, 3, 5, 5, 3, 8, 5, 6, 7, 7, 5, 6, 4, 5, 4, 5, 1, 4, 7, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 2, 3, 4, 5, 2, 3, 5, 7, 3, 5, 6, 3, 5, 6, 5, 4, 3, 5, 2, 6, 3, 2, 5, 4, 4, 5, 7, 6, 3, 5, 2, 3, 5, 3, 7, 4, 3, 4, 5, 4, 4, 6, 5, 5, 7, 5, 4, 4, 6, 1, 5, 4, 5, 6, 4, 3, 7, 5, 9, 4, 3, 6, 4, 4, 3, 5, 5, 4, 2, 5, 7, 4, 5, 5, 5, 4, 6, 3, 4, 2, 4, 5, 7, 4, 4, 2, 4, 5, 3, 3, 5, 4, 9, 6, 1, 4, 4, 4, 4, 6, 4, 3, 6, 3, 5, 7, 6, 3, 4, 3, 2, 7, 3, 2, 5, 3, 4, 2, 3, 1, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 3, 6, 3, 5, 4, 4, 4, 5, 8, 4, 5, 4, 3, 7, 3, 6, 6, 4, 5, 2, 5, 6, 4, 4, 4, 3, -1 7, 6, 4, 6, 5, 4, 3, 6, 4, 8, 4, 7, 6, 5, 4, 6, 5, 5, 6, 5, 4, 6, 7, 4, 5, 7, 3, 4, 5, 3, 3, 4, 4, 7, 4, 3, 4, 4, 3, 4, 4, 3, 5, 6, 5, 3, 5, 7, 4, 3, 6, 3, 4, 6, 6, 6, 4, 4, 5, 5, 5, 4, 2, 6, 6, 5, 4, 6, 6, 5, 2, 5, 3, 5, 2, 5, 6, 3, 3, 4, 6, 3, 1, 4, 4, 3, 5, 4, 3, 6, 4, 3, 6, 4, 5, 3, 6, 5, 5, 3, 5, 2, 4, 4, 4, 4, 6, 4, 4, 6, 3, 4, 4, 6, 5, 6, 4, 5, 6, 6, 5, 7, 5, 6, 2, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 6, 3, 3, 5, 4, 3, 5, 2, 6, 7, 2, 5, 5, 5, 5, 6, 4, 3, 4, 4, 5, 5, 2, 5, 3, 7, 4, 4, 2, 5, 7, 5, 4, 4, 5, 3, 5, 5, 6, 6, 3, 5, 3, 4, 5, 7, 3, 5, 4, 5, 2, 2, 5, 5, 4, 3, 4, 5, 4, 1, 4, 3, 4, 5, 4, 7, 4, 4, 8, 4, 6, 6, 6, 5, 3, 2, 4, 4, 7, 4, 6, 2, 4, 4, 3, 5, 7, 6, 8, 6, 3, 5, 5, 4, 6, 5, 8, 5, 6, 3, 2, 1, 3, 4, 4, 7, 3, 3, 5, 6, 5, 3, 5, 5, 3, 5, 4, 4, 5, 6, 3, 4, 5, 1, 2, 5, 3, 3, 3, 4, 5, 7, 3, 4, 5, 4, 6, 5, 5, 2, 5, 6, 5, 4, 3, 6, 4, 4, 4, 8, 5, 7, 5, 6, 6, 4, 4, 5, 5, 6, 6, 6, 4, 5, 3, 4, 4, 4, 6, 3, 6, 4, 6, 3, 4, 4, 4, 5, 6, 3, 6, 4, 1, 5, 5, 8, 3, 4, 6, 5, 5, 7, 4, 4, 9, 6, 5, 5, 3, 2, 3, 3, 3, 5, 4, 6, 6, 4, 3, 6, 3, 6, 4, 2, 5, 4, 4, 5, 5, 7, 5, 6, 4, 5, 4, 7, 2, 2, 3, 5, 5, 2, 3, 5, 6, 5, 4, 4, 6, 5, 4, 3, 3, 6, 4, 3, 7, 4, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 4, 8, 5, 5, 6, 5, 3, 5, 6, 2, 1, 7, 0, 4, 1, 6, 1, 5, 3, 5, 3, 4, 5, 5, 4, 6, 5, 5, 3, 7, 4, 7, 5, 6, 6, 4, 5, 3, 8, 4, 8, 5, 3, 6, 6, 2, 4, 4, 1, 5, 6, 5, 4, 2, 7, 4, 4, 4, 3, 2, 3, 4, 4, 5, 7, 4, 6, 3, 4, 5, 5, 5, 4, 5, 2, 4, 2, 7, 5, 3, 5, 5, 5, 4, 5, 5, 1, 5, 5, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 3, 2, -1 4, 3, 5, 6, 4, 4, 3, 6, 7, 1, 6, 5, 6, 2, 6, 4, 6, 6, 1, 4, 6, 3, 5, 5, 7, 5, 4, 3, 4, 2, 4, 5, 2, 5, 8, 4, 5, 2, 8, 2, 5, 4, 3, 4, 3, 3, 2, 5, 3, 6, 3, 7, 5, 2, 5, 5, 5, 5, 6, 2, 5, 4, 4, 4, 3, 3, 4, 7, 4, 5, 8, 3, 3, 7, 4, 7, 3, 3, 7, 6, 5, 4, 2, 4, 3, 5, 4, 6, 4, 3, 4, 8, 4, 5, 4, 5, 5, 2, 4, 5, 8, 6, 5, 6, 3, 5, 6, 5, 7, 4, 6, 4, 6, 6, 6, 4, 5, 3, 6, 8, 6, 9, 6, 0, 4, 3, 3, 6, 5, 5, 4, 3, 7, 4, 8, 3, 5, 4, 4, 4, 4, 4, 5, 5, 2, 4, 2, 3, 5, 6, 4, 4, 6, 5, 3, 6, 5, 4, 6, 5, 8, 4, 3, 6, 5, 4, 7, 4, 4, 4, 4, 4, 4, 6, 2, 5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 1, 6, 6, 4, 7, 5, 3, 3, 3, 4, 4, 3, 3, 5, 6, 9, 6, 5, 5, 2, 3, 3, 3, 2, 3, 3, 5, 3, 3, 6, 8, 6, 3, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 8, 4, 4, 3, 2, 3, 4, 4, 3, 7, 4, 5, 6, 6, 2, 5, 6, 4, 4, 4, 5, 5, 4, 5, 6, 4, 6, 5, 4, 3, 6, 6, 6, 4, 5, 4, 6, 3, 6, 6, 4, 5, 4, 4, 7, 2, 4, 6, 7, 5, 5, 4, 4, 5, 3, 6, 4, 3, 6, 3, 3, 6, 2, 5, 4, 3, 4, 3, 6, 4, 4, 7, 5, 5, 4, 4, 7, 4, 4, 5, 4, 5, 5, 5, 7, 5, 6, 4, 4, 9, 4, 3, 3, 6, 6, 4, 3, 5, 4, 2, 5, 4, 5, 4, 5, 5, 3, 6, 2, 2, 3, 3, 5, 5, 4, 4, 3, 6, 4, 6, 4, 4, 3, 7, 7, 4, 4, 4, 3, 6, 4, 4, 6, 5, 7, 4, 7, 5, 3, 3, 5, 3, 5, 3, 5, 5, 5, 6, 7, 6, 3, 3, 4, 3, 4, 4, 6, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 6, 6, 3, 6, 4, 6, 1, 5, 8, 5, 4, 5, 4, 6, 4, 5, 4, 6, 6, 6, 3, 6, 5, 4, 4, 4, 5, 5, 4, 6, 5, 5, 3, 5, 4, 3, 3, 7, 5, 5, 4, 5, 3, 5, 5, 2, 3, 5, 5, 4, 1, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 7, 7, 4, 3, 3, 5, 7, 7, 9, 3, 4, 4, 2, 7, 4, 5, 1, 6, 5, 4, 6, 4, 5, 6, 3, 5, 3, 3, 3, 6, 3, 5, 5, 4, 4, 5, 4, 5, 6, 3, 4, 6, 1 4, 4, 4, 4, 3, 4, 5, 5, 3, 7, 4, 3, 7, 5, 4, 3, 5, 4, 6, 7, 5, 6, 4, 5, 8, 6, 6, 3, 7, 5, 4, 6, 3, 7, 5, 5, 2, 6, 6, 6, 3, 4, 5, 3, 7, 3, 4, 3, 4, 5, 5, 0, 3, 3, 5, 6, 5, 3, 4, 4, 4, 3, 5, 5, 3, 5, 4, 4, 7, 7, 6, 3, 3, 6, 4, 4, 5, 4, 4, 4, 3, 6, 5, 5, 5, 5, 3, 4, 4, 3, 4, 6, 5, 3, 5, 3, 7, 1, 5, 4, 6, 6, 2, 5, 5, 6, 7, 5, 4, 4, 6, 5, 5, 4, 6, 6, 6, 3, 3, 4, 6, 4, 6, 4, 5, 4, 4, 6, 6, 5, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 5, 8, 5, 5, 4, 6, 7, 5, 4, 6, 4, 4, 4, 7, 4, 5, 4, 4, 3, 5, 5, 7, 4, 6, 5, 5, 3, 4, 2, 1, 3, 5, 6, 6, 5, 2, 4, 6, 3, 7, 3, 2, 5, 6, 4, 3, 4, 5, 6, 2, 5, 5, 3, 4, 5, 3, 5, 5, 4, 7, 3, 3, 8, 3, 4, 5, 6, 6, 3, 2, 5, 6, 5, 5, 5, 3, 2, 5, 2, 5, 3, 6, 4, 2, 6, 3, 5, 6, 2, 5, 4, 6, 4, 3, 4, 6, 6, 4, 5, 7, 6, 3, 3, 3, 3, 3, 2, 4, 6, 5, 6, 3, 3, 6, 2, 5, 5, 4, 5, 4, 5, 6, 3, 5, 5, 9, 4, 4, 4, 5, 4, 7, 5, 3, 6, 7, 4, 5, 3, 1, 4, 4, 4, 7, 4, 6, 4, 6, 5, 4, 7, 2, 4, 5, 4, 3, 3, 7, 5, 4, 7, 5, 5, 6, 6, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 7, 6, 8, 6, 3, 7, 5, 6, 6, 3, 5, 5, 4, 4, 6, 3, 4, 4, 6, 4, 2, 6, 3, 5, 3, 2, 5, 3, 5, 6, 5, 7, 5, 6, 7, 5, 6, 7, 4, 6, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 1, 6, 3, 6, 5, 7, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 6, 3, 4, 6, 3, 6, 4, 3, 5, 6, 6, 4, 6, 4, 6, 1, 6, 6, 7, 4, 4, 3, 3, 9, 4, 5, 5, 4, 5, 4, 3, 4, 2, 2, 4, 3, 2, 5, 4, 5, 2, 6, 4, 5, 4, 3, 4, 4, 3, 6, 4, 5, 2, 4, 2, 5, 4, 5, 3, 3, 4, 7, 4, 2, 4, 6, 4, 5, 7, 4, 4, 5, 4, 5, 4, 4, 5, 3, 1, 6, 4, 6, 4, 3, 5, 3, 2, 2, 4, 2, 7, 4, 6, 3, 5, 3, 4, 6, 4, 5, 6, 5, 5, 3, 5, 2, 4, 6, 2, 4, 3, 6, 3, 4, 5, 4, 6, 1 3, 6, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 7, 6, 4, 7, 7, 7, 4, 7, 5, 5, 5, 5, 4, 4, 7, 2, 4, 4, 5, 4, 4, 5, 5, 5, 4, 2, 3, 4, 4, 5, 4, 6, 3, 5, 4, 7, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 3, 5, 5, 6, 4, 4, 4, 4, 4, 5, 7, 6, 5, 3, 6, 4, 4, 4, 7, 5, 6, 6, 5, 4, 4, 5, 7, 5, 4, 7, 5, 4, 5, 4, 7, 4, 4, 4, 3, 5, 4, 5, 3, 6, 5, 2, 6, 6, 3, 5, 6, 1, 3, 5, 5, 4, 4, 3, 6, 8, 6, 3, 5, 5, 5, 3, 4, 6, 4, 6, 5, 4, 6, 6, 8, 3, 4, 3, 2, 4, 8, 3, 2, 6, 4, 4, 5, 3, 4, 6, 5, 5, 7, 4, 5, 4, 4, 5, 3, 4, 3, 5, 4, 5, 7, 4, 4, 5, 7, 3, 6, 5, 6, 4, 2, 6, 4, 1, 3, 3, 3, 5, 6, 6, 6, 5, 2, 5, 2, 6, 4, 4, 5, 5, 6, 2, 3, 6, 6, 5, 4, 4, 3, 4, 7, 5, 3, 4, 6, 6, 3, 3, 3, 6, 5, 5, 3, 4, 4, 5, 6, 5, 6, 5, 7, 3, 4, 5, 5, 4, 5, 4, 5, 6, 5, 5, 2, 4, 4, 4, 8, 6, 5, 5, 0, 7, 3, 5, 4, 2, 7, 6, 5, 2, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 6, 3, 4, 3, 4, 4, 7, 5, 5, 5, 4, 5, 5, 4, 6, 5, 5, 5, 5, 5, 3, 5, 4, 2, 4, 4, 5, 3, 5, 3, 5, 5, 4, 5, 5, 3, 3, 2, 6, 5, 4, 4, 5, 5, 3, 5, 6, 5, 2, 8, 6, 6, 5, 6, 6, 5, 6, 4, 3, 3, 5, 3, 2, 4, 6, 5, 4, 4, 4, 3, 3, 6, 3, 5, 2, 5, 6, 4, 3, 2, 4, 6, 4, 6, 3, 6, 3, 4, 4, 4, 7, 5, 7, 4, 4, 2, 3, 5, 4, 5, 4, 5, 6, 4, 4, 4, 6, 2, 7, 4, 4, 4, 4, 4, 0, 3, 5, 2, 7, 3, 5, 6, 2, 1, 3, 5, 4, 6, 5, 6, 3, 2, 3, 3, 3, 5, 4, 5, 3, 6, 7, 4, 4, 5, 3, 3, 8, 8, 5, 6, 3, 4, 4, 2, 5, 4, 5, 3, 7, 3, 5, 3, 3, 5, 3, 4, 2, 3, 6, 5, 4, 4, 6, 6, 4, 6, 5, 3, 5, 7, 6, 2, 6, 7, 4, 3, 3, 4, 6, 1, 6, 4, 5, 3, 5, 3, 5, 5, 5, 6, 4, 5, 6, 5, 3, 5, 5, 3, 3, 4, 4, 3, 5, 6, 6, 8, 6, 5, 5, 6, 4, 4, 4, 7, 5, 4, 6, 3, 5, 5, 1 4, 3, 6, 3, 4, 2, 6, 5, 4, 3, 4, 1, 6, 4, 4, 4, 3, 6, 5, 5, 6, 6, 3, 4, 4, 5, 3, 3, 2, 4, 3, 9, 6, 4, 3, 1, 2, 6, 4, 4, 4, 2, 5, 5, 5, 5, 6, 5, 6, 3, 4, 3, 5, 3, 3, 7, 5, 4, 2, 1, 6, 6, 6, 2, 7, 5, 4, 3, 4, 6, 5, 8, 3, 3, 5, 4, 1, 5, 1, 1, 4, 2, 4, 6, 4, 4, 3, 5, 4, 3, 4, 6, 4, 3, 2, 3, 7, 5, 7, 4, 6, 5, 4, 5, 6, 3, 7, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 5, 2, 3, 3, 5, 3, 5, 5, 3, 9, 4, 5, 3, 3, 8, 5, 5, 3, 4, 3, 4, 7, 4, 6, 3, 3, 5, 3, 7, 6, 5, 4, 5, 3, 7, 6, 5, 4, 4, 5, 2, 4, 6, 6, 4, 4, 4, 6, 6, 6, 4, 5, 6, 7, 8, 3, 5, 3, 3, 4, 5, 3, 4, 5, 2, 4, 4, 5, 3, 2, 5, 4, 4, 4, 4, 4, 2, 7, 9, 6, 5, 6, 2, 4, 6, 4, 2, 4, 6, 5, 1, 4, 8, 5, 2, 3, 7, 0, 6, 3, 4, 5, 4, 4, 4, 5, 4, 2, 5, 3, 3, 3, 6, 6, 4, 5, 5, 6, 7, 5, 3, 4, 5, 3, 7, 2, 5, 3, 4, 4, 4, 4, 5, 4, 2, 3, 3, 2, 5, 2, 5, 3, 7, 5, 5, 4, 3, 6, 5, 5, 5, 3, 7, 4, 5, 4, 3, 3, 7, 6, 5, 5, 4, 6, 5, 2, 4, 4, 6, 5, 4, 2, 3, 4, 3, 6, 3, 5, 6, 5, 5, 4, 6, 3, 2, 2, 5, 5, 5, 3, 2, 5, 7, 5, 3, 3, 3, 3, 6, 5, 3, 4, 5, 6, 4, 3, 4, 2, 4, 4, 4, 1, 3, 6, 1, 4, 5, 6, 7, 6, 5, 5, 1, 6, 4, 3, 3, 4, 5, 4, 4, 6, 4, 5, 3, 7, 3, 3, 5, 5, 3, 4, 3, 7, 6, 4, 7, 4, 3, 5, 5, 2, 6, 6, 7, 8, 5, 5, 4, 4, 6, 2, 5, 6, 3, 6, 4, 4, 5, 4, 7, 5, 4, 8, 4, 3, 5, 3, 1, 4, 7, 4, 6, 3, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 7, 4, 4, 7, 4, 4, 2, 4, 4, 5, 3, 5, 2, 3, 7, 7, 4, 4, 7, 6, 4, 4, 4, 5, 7, 3, 5, 6, 5, 4, 5, 5, 2, 4, 7, 4, 6, 4, 4, 5, 5, 2, 6, 4, 4, 3, 4, 7, 4, 6, 4, 2, 7, 6, 4, 4, 2, 5, 8, 6, 3, 5, 4, 7, 4, 4, 3, 4, 3, 2, 6, 6, 4, 7, 6, 3, 6, 4, 4, 6, 4, 1 2, 0, 4, 3, 5, 3, 5, 4, 4, 6, 3, 3, 4, 5, 9, 5, 3, 4, 4, 3, 7, 2, 4, 6, 5, 3, 2, 6, 6, 6, 8, 5, 5, 3, 5, 2, 4, 3, 7, 3, 3, 3, 5, 7, 2, 6, 4, 4, 9, 6, 8, 4, 5, 3, 5, 7, 7, 5, 2, 3, 5, 2, 5, 5, 7, 3, 7, 6, 7, 4, 6, 7, 6, 4, 6, 5, 5, 5, 7, 5, 5, 2, 3, 5, 5, 4, 4, 5, 6, 5, 2, 5, 5, 3, 5, 3, 6, 6, 5, 4, 4, 7, 6, 2, 4, 6, 6, 2, 4, 6, 3, 4, 6, 4, 5, 3, 5, 6, 2, 3, 4, 5, 4, 1, 6, 7, 4, 6, 6, 4, 6, 4, 8, 5, 5, 5, 6, 6, 4, 5, 7, 3, 4, 5, 4, 4, 4, 5, 6, 5, 8, 4, 7, 6, 6, 4, 5, 2, 5, 5, 5, 2, 4, 4, 3, 3, 4, 2, 4, 5, 6, 3, 4, 4, 6, 3, 6, 4, 6, 4, 4, 4, 1, 2, 4, 5, 8, 4, 5, 5, 4, 5, 2, 3, 4, 7, 6, 4, 3, 6, 7, 4, 2, 4, 4, 5, 6, 6, 4, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 7, 5, 4, 7, 6, 2, 3, 5, 8, 5, 9, 5, 1, 4, 6, 5, 5, 3, 6, 6, 5, 4, 4, 7, 4, 5, 5, 2, 3, 5, 2, 5, 3, 4, 7, 1, 4, 5, 4, 3, 4, 4, 5, 0, 8, 4, 4, 4, 4, 4, 6, 5, 6, 6, 4, 6, 4, 4, 7, 2, 3, 6, 6, 3, 3, 5, 5, 5, 5, 6, 7, 5, 3, 4, 4, 7, 5, 4, 4, 5, 7, 3, 5, 8, 4, 3, 5, 3, 5, 7, 4, 5, 4, 4, 3, 5, 6, 4, 7, 5, 7, 4, 4, 3, 7, 4, 6, 5, 5, 5, 7, 5, 2, 5, 4, 4, 7, 4, 3, 3, 4, 4, 5, 5, 2, 2, 3, 7, 2, 4, 6, 7, 5, 6, 3, 5, 5, 4, 7, 5, 5, 3, 4, 4, 2, 3, 5, 3, 5, 2, 5, 5, 4, 4, 6, 5, 5, 3, 9, 4, 5, 7, 6, 5, 2, 5, 8, 4, 4, 6, 4, 5, 4, 2, 4, 4, 6, 6, 6, 5, 4, 5, 5, 5, 7, 3, 5, 4, 6, 3, 4, 4, 5, 6, 5, 4, 4, 4, 3, 3, 2, 7, 4, 4, 5, 5, 4, 4, 6, 6, 5, 3, 5, 6, 6, 5, 4, 6, 7, 5, 1, 4, 2, 5, 4, 4, 4, 3, 5, 5, 5, 6, 5, 6, 4, 6, 5, 3, 4, 3, 3, 6, 6, 4, 4, 3, 7, 4, 3, 4, 6, 6, 2, 4, 4, 3, 5, 6, 4, 4, 4, 3, 6, 4, 5, 6, 5, 4, 5, 3, 3, 3, 5, 5, 4, 3, 6, 5, 6, 5, -1 4, 3, 5, 5, 3, 5, 4, 3, 7, 5, 6, 3, 4, 3, 6, 5, 6, 5, 4, 5, 6, 3, 5, 3, 6, 6, 4, 4, 6, 5, 4, 3, 4, 2, 5, 7, 4, 4, 7, 3, 3, 4, 7, 4, 4, 4, 2, 1, 1, 5, 3, 4, 3, 5, 3, 4, 3, 6, 3, 5, 4, 4, 3, 4, 2, 4, 6, 2, 3, 3, 5, 8, 3, 3, 5, 6, 3, 6, 5, 3, 4, 2, 7, 4, 3, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 3, 5, 3, 3, 9, 2, 4, 3, 3, 5, 6, 7, 2, 4, 7, 4, 5, 7, 3, 6, 6, 4, 4, 4, 3, 6, 6, 7, 6, 5, 6, 5, 6, 4, 2, 5, 5, 5, 4, 2, 6, 6, 8, 5, 3, 6, 3, 4, 5, 3, 4, 4, 8, 5, 3, 6, 3, 7, 4, 6, 5, 3, 1, 4, 7, 2, 5, 9, 4, 3, 5, 5, 3, 7, 7, 5, 6, 4, 3, 7, 7, 5, 5, 7, 7, 4, 1, 4, 4, 3, 6, 4, 5, 5, 6, 4, 5, 3, 5, 6, 2, 4, 6, 2, 1, 3, 3, 6, 3, 3, 3, 6, 4, 3, 3, 3, 5, 5, 6, 5, 4, 5, 2, 6, 4, 4, 4, 4, 5, 2, 4, 5, 4, 4, 5, 4, 4, 4, 4, 6, 5, 2, 4, 3, 2, 8, 4, 3, 4, 5, 6, 5, 5, 3, 5, 2, 5, 4, 2, 1, 2, 7, 6, 6, 6, 3, 3, 6, 4, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 4, 2, 2, 7, 6, 2, 3, 6, 4, 3, 3, 3, 7, 4, 4, 3, 5, 3, 3, 3, 2, 6, 6, 5, 4, 6, 4, 4, 6, 2, 4, 7, 3, 5, 4, 4, 4, 5, 4, 1, 6, 6, 4, 3, 3, 5, 6, 5, 6, 5, 6, 7, 6, 6, 5, 4, 3, 5, 2, 4, 0, 6, 3, 7, 4, 4, 3, 5, 7, 9, 3, 5, 2, 3, 7, 5, 3, 3, 3, 1, 3, 4, 4, 6, 5, 1, 5, 4, 5, 5, 4, 4, 5, 7, 5, 4, 6, 5, 6, 4, 1, 5, 4, 4, 5, 5, 3, 5, 6, 6, 7, 6, 4, 3, 4, 4, 7, 6, 3, 3, 5, 5, 4, 3, 6, 2, 3, 5, 5, 6, 4, 5, 5, 2, 3, 2, 6, 3, 4, 4, 3, 4, 3, 8, 5, 9, 3, 5, 3, 5, 4, 3, 6, 4, 6, 7, 6, 5, 4, 5, 5, 4, 9, 7, 2, 6, 4, 5, 5, 3, 5, 4, 5, 5, 6, 5, 3, 4, 2, 2, 4, 3, 3, 4, 6, 7, 4, 3, 3, 3, 4, 4, 6, 6, 2, 6, 4, 8, 5, 5, 3, 4, 5, 3, 6, 4, 6, 3, 5, 4, 3, 6, 2, 5, 5, 4, 5, 4, 6, 3, 5, 5, -1 5, 3, 5, 4, 4, 4, 3, 4, 4, 5, 4, 6, 6, 5, 5, 5, 6, 2, 5, 5, 6, 6, 8, 6, 5, 6, 4, 3, 3, 4, 5, 5, 4, 5, 6, 4, 2, 4, 5, 4, 5, 4, 2, 6, 5, 3, 5, 3, 2, 3, 4, 5, 6, 4, 4, 5, 5, 4, 5, 3, 3, 5, 5, 2, 5, 4, 2, 7, 5, 4, 4, 4, 4, 5, 5, 5, 6, 4, 6, 3, 2, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 2, 6, 5, 5, 6, 4, 3, 2, 7, 4, 6, 6, 3, 2, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 6, 4, 3, 3, 4, 6, 3, 6, 4, 3, 6, 7, 5, 6, 4, 6, 5, 5, 2, 3, 5, 1, 3, 4, 5, 2, 3, 5, 5, 7, 3, 6, 4, 4, 4, 2, 6, 3, 3, 6, 3, 5, 5, 6, 6, 8, 4, 4, 5, 2, 8, 7, 3, 5, 4, 6, 7, 1, 4, 3, 3, 6, 4, 6, 3, 3, 5, 5, 4, 4, 4, 4, 2, 3, 3, 3, 5, 3, 6, 5, 6, 3, 2, 5, 4, 4, 5, 6, 3, 8, 6, 7, 4, 4, 4, 3, 5, 6, 5, 3, 6, 4, 6, 5, 7, 5, 4, 7, 7, 4, 4, 5, 3, 4, 4, 1, 7, 7, 7, 5, 5, 6, 5, 4, 5, 3, 4, 4, 4, 4, 4, 2, 5, 4, 7, 3, 4, 3, 6, 3, 7, 4, 4, 6, 7, 4, 3, 3, 2, 4, 4, 6, 5, 4, 9, 5, 6, 2, 6, 6, 5, 3, 7, 3, 7, 3, 4, 7, 7, 6, 6, 6, 4, 3, 5, 3, 5, 7, 6, 6, 3, 2, 3, 4, 7, 2, 5, 5, 7, 4, 4, 3, 3, 4, 6, 6, 3, 5, 5, 5, 6, 3, 3, 5, 4, 6, 3, 4, 6, 4, 4, 6, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 6, 5, 3, 6, 5, 6, 2, 5, 1, 5, 5, 5, 4, 4, 5, 3, 3, 6, 3, 4, 6, 6, 6, 3, 5, 5, 3, 5, 2, 3, 3, 4, 4, 8, 1, 6, 5, 4, 6, 1, 4, 6, 4, 5, 3, 9, 4, 4, 4, 1, 5, 4, 5, 6, 3, 4, 6, 4, 6, 5, 5, 3, 2, 4, 2, 2, 5, 5, 6, 4, 6, 6, 3, 4, 5, 6, 1, 3, 4, 6, 6, 2, 3, 6, 4, 5, 9, 6, 5, 4, 4, 5, 4, 6, 5, 6, 5, 4, 4, 8, 5, 3, 5, 4, 4, 6, 4, 3, 7, 6, 3, 4, 2, 4, 3, 5, 3, 3, 5, 6, 6, 5, 4, 2, 4, 5, 3, 5, 1, 3, 3, 5, 5, 6, 9, 4, 5, 3, 2, 4, 3, 2, 5, 4, 4, 6, 5, 6, 3, 5, -1 5, 4, 2, 4, 2, 4, 7, 3, 6, 5, 6, 3, 5, 3, 4, 6, 3, 6, 4, 4, 4, 4, 5, 7, 4, 3, 7, 4, 4, 3, 3, 5, 5, 5, 7, 6, 4, 4, 5, 2, 6, 7, 5, 3, 4, 4, 5, 4, 2, 3, 5, 3, 5, 4, 5, 6, 5, 5, 5, 8, 4, 3, 3, 6, 4, 5, 6, 4, 2, 2, 4, 6, 4, 5, 3, 5, 3, 5, 4, 7, 4, 3, 3, 5, 2, 7, 4, 4, 5, 4, 4, 6, 5, 4, 6, 5, 2, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 7, 4, 6, 6, 7, 7, 3, 2, 4, 5, 6, 4, 5, 5, 5, 2, 4, 2, 6, 3, 5, 6, 3, 3, 5, 5, 4, 1, 4, 5, 6, 3, 1, 5, 3, 5, 4, 5, 5, 1, 5, 6, 8, 4, 2, 5, 3, 6, 4, 4, 6, 6, 7, 6, 3, 4, 5, 4, 3, 4, 4, 3, 5, 6, 6, 2, 6, 8, 5, 2, 4, 5, 6, 4, 5, 4, 4, 3, 6, 4, 5, 4, 6, 3, 5, 5, 2, 5, 2, 2, 4, 3, 5, 4, 7, 4, 6, 2, 2, 4, 7, 6, 4, 6, 6, 7, 6, 5, 5, 5, 6, 5, 5, 4, 2, 1, 4, 3, 5, 5, 1, 6, 6, 2, 4, 4, 4, 3, 5, 7, 6, 4, 5, 3, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 2, 6, 1, 2, 3, 3, 4, 4, 6, 4, 4, 5, 4, 3, 6, 6, 5, 3, 5, 4, 6, 5, 1, 4, 4, 5, 6, 5, 6, 5, 7, 3, 3, 4, 6, 3, 4, 7, 3, 6, 0, 4, 6, 4, 4, 3, 4, 4, 4, 7, 4, 5, 4, 4, 5, 3, 5, 5, 4, 2, 4, 3, 3, 3, 6, 7, 4, 7, 5, 7, 4, 4, 5, 4, 4, 3, 4, 4, 6, 5, 5, 3, 3, 6, 4, 3, 4, 5, 7, 3, 4, 5, 6, 4, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 6, 5, 5, 2, 4, 5, 3, 5, 5, 3, 4, 5, 4, 4, 3, 4, 5, 6, 6, 2, 5, 2, 6, 4, 4, 5, 0, 6, 3, 7, 4, 8, 6, 4, 4, 4, 6, 5, 5, 4, 3, 5, 3, 3, 5, 8, 5, 5, 4, 6, 4, 3, 6, 5, 4, 5, 8, 2, 4, 3, 6, 5, 3, 5, 4, 5, 7, 3, 5, 5, 2, 4, 3, 4, 5, 4, 5, 6, 4, 3, 3, 5, 5, 6, 6, 6, 4, 1, 6, 5, 5, 4, 6, 6, 4, 6, 7, 5, 2, 3, 4, 5, 5, 6, 1, 5, 5, 6, 6, 0, 4, 6, 5, 5, 6, 7, 4, 3, 3, 3, 6, 4, 4, 2, 2, 3, 3, 4, 2, 3, 3, 3, 3, 6, 5, 5, 7, 3, 4, 5, 4, 7, 5, -1 5, 3, 5, 5, 5, 3, 6, 3, 4, 4, 3, 5, 5, 6, 4, 5, 3, 6, 4, 4, 3, 5, 5, 5, 3, 5, 4, 6, 4, 5, 3, 4, 5, 3, 5, 4, 5, 3, 3, 6, 3, 4, 6, 3, 4, 3, 4, 5, 2, 4, 4, 4, 7, 4, 6, 7, 5, 3, 3, 5, 6, 3, 4, 2, 5, 7, 7, 6, 6, 4, 5, 7, 4, 5, 2, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 6, 3, 5, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 2, 4, 3, 3, 3, 4, 4, 6, 5, 1, 5, 3, 1, 4, 3, 5, 8, 5, 3, 4, 4, 4, 7, 2, 5, 5, 3, 5, 5, 4, 3, 3, 6, 6, 6, 3, 5, 6, 4, 6, 4, 3, 4, 6, 3, 5, 6, 4, 5, 6, 4, 3, 4, 4, 5, 4, 6, 5, 7, 4, 6, 2, 1, 5, 3, 5, 3, 3, 6, 7, 5, 7, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 1, 5, 9, 8, 4, 4, 3, 3, 4, 4, 2, 0, 3, 3, 6, 5, 3, 3, 7, 5, 5, 5, 6, 4, 5, 4, 6, 5, 2, 4, 3, 5, 2, 6, 1, 5, 4, 4, 4, 6, 6, 4, 5, 5, 8, 5, 3, 4, 7, 4, 4, 5, 5, 2, 6, 3, 6, 5, 6, 2, 4, 3, 2, 4, 5, 4, 4, 4, 5, 4, 9, 4, 7, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3, 2, 6, 4, 4, 5, 5, 4, 4, 3, 5, 4, 2, 5, 3, 4, 4, 9, 6, 5, 5, 6, 4, 4, 5, 2, 5, 4, 8, 5, 4, 6, 3, 6, 6, 5, 4, 4, 5, 2, 2, 4, 8, 6, 2, 3, 4, 6, 4, 4, 6, 5, 4, 5, 8, 3, 4, 4, 4, 3, 5, 4, 5, 6, 5, 4, 3, 6, 5, 4, 6, 6, 5, 5, 5, 7, 4, 3, 4, 3, 3, 7, 3, 4, 3, 5, 7, 4, 5, 4, 2, 5, 4, 6, 4, 2, 4, 6, 2, 2, 4, 5, 5, 2, 3, 6, 3, 6, 3, 6, 3, 4, 5, 6, 3, 3, 5, 8, 3, 5, 4, 5, 4, 8, 3, 4, 5, 5, 5, 5, 3, 6, 7, 7, 5, 4, 5, 7, 5, 5, 4, 1, 4, 4, 4, 3, 6, 4, 4, 3, 4, 5, 6, 7, 5, 6, 2, 4, 3, 3, 5, 4, 4, 3, 2, 4, 2, 5, 6, 5, 5, 4, 3, 5, 4, 5, 3, 6, 3, 4, 3, 5, 5, 3, 5, 5, 6, 5, 4, 3, 4, 1, 3, 4, 5, 5, 4, 6, 5, 5, 4, 4, 4, 5, 6, 3, 5, 3, 3, 8, 6, 6, 1 6, 3, 6, 3, 4, 4, 3, 5, 4, 1, 3, 3, 6, 7, 3, 9, 6, 5, 3, 6, 5, 6, 6, 6, 6, 8, 3, 4, 4, 8, 5, 7, 3, 5, 5, 6, 3, 7, 3, 6, 4, 4, 6, 4, 5, 3, 4, 7, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 6, 6, 6, 5, 7, 4, 3, 5, 3, 7, 6, 5, 4, 3, 5, 4, 3, 6, 4, 1, 5, 3, 2, 3, 4, 6, 3, 6, 3, 5, 3, 2, 4, 3, 1, 4, 6, 5, 3, 5, 3, 4, 6, 3, 1, 4, 5, 6, 7, 8, 2, 3, 4, 5, 5, 6, 6, 3, 5, 5, 4, 3, 4, 5, 8, 3, 4, 3, 3, 8, 6, 7, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 2, 3, 5, 6, 7, 5, 5, 3, 5, 4, 5, 2, 4, 5, 5, 7, 2, 4, 3, 5, 5, 5, 3, 4, 4, 3, 4, 6, 5, 6, 2, 2, 5, 6, 5, 4, 4, 2, 4, 5, 5, 0, 5, 5, 7, 4, 5, 7, 3, 4, 5, 3, 3, 3, 4, 4, 3, 8, 6, 5, 7, 3, 1, 5, 4, 2, 6, 4, 5, 6, 4, 5, 6, 4, 3, 5, 5, 5, 1, 2, 2, 5, 6, 5, 3, 4, 5, 4, 3, 6, 5, 4, 4, 6, 7, 4, 1, 6, 6, 4, 6, 5, 3, 5, 2, 3, 3, 2, 4, 4, 4, 4, 4, 4, 5, 6, 3, 3, 4, 6, 5, 4, 4, 5, 5, 1, 3, 6, 4, 5, 4, 5, 4, 7, 5, 5, 3, 1, 5, 3, 6, 6, 5, 7, 5, 5, 7, 5, 4, 4, 5, 2, 5, 4, 5, 4, 5, 4, 5, 3, 9, 3, 6, 4, 5, 3, 6, 5, 5, 3, 3, 2, 3, 5, 3, 5, 3, 5, 4, 2, 4, 4, 7, 7, 4, 7, 1, 5, 5, 2, 6, 5, 4, 2, 4, 3, 3, 2, 6, 3, 5, 5, 1, 4, 3, 3, 5, 3, 3, 4, 4, 7, 2, 3, 3, 3, 5, 5, 6, 2, 5, 5, 3, 5, 2, 5, 5, 7, 5, 3, 4, 4, 6, 3, 3, 5, 3, 4, 6, 4, 2, 3, 4, 9, 3, 5, 5, 4, 4, 5, 5, 3, 7, 6, 4, 5, 5, 5, 5, 7, 6, 5, 2, 5, 4, 3, 6, 1, 2, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 4, 6, 6, 7, 4, 3, 3, 6, 3, 5, 5, 3, 5, 5, 6, 4, 6, 4, 7, 5, 6, 4, 6, 4, 2, 6, 7, 4, 4, 2, 6, 4, 3, 7, 5, 4, 2, 7, 5, 4, 6, 6, 4, 6, 4, 4, 5, 4, 5, 4, 6, 2, 6, 6, 5, 5, 3, 6, 4, 4, 3, 4, 5, 6, 5, 4, 6, 6, 3, 7, 5, 5, 6, 4, 5, 6, 3, 1 2, 4, 5, 5, 4, 3, 4, 3, 6, 4, 4, 4, 6, 3, 5, 6, 8, 5, 6, 7, 6, 5, 7, 4, 4, 5, 4, 5, 5, 5, 3, 5, 3, 4, 6, 5, 6, 6, 4, 7, 4, 2, 6, 4, 3, 4, 5, 4, 4, 6, 4, 3, 6, 3, 3, 6, 4, 4, 3, 1, 6, 4, 5, 4, 3, 6, 6, 6, 4, 4, 5, 3, 0, 4, 4, 4, 5, 5, 3, 3, 5, 3, 7, 5, 7, 3, 4, 4, 4, 4, 4, 8, 6, 4, 4, 4, 4, 3, 3, 4, 7, 5, 5, 5, 4, 5, 6, 4, 3, 4, 6, 4, 4, 5, 3, 3, 4, 5, 4, 2, 6, 5, 7, 2, 6, 4, 3, 5, 5, 7, 3, 5, 5, 6, 5, 3, 4, 5, 3, 7, 5, 5, 4, 1, 4, 6, 4, 4, 5, 4, 3, 3, 8, 3, 6, 4, 5, 4, 2, 6, 4, 4, 5, 6, 4, 3, 5, 4, 6, 5, 5, 5, 3, 3, 7, 5, 4, 6, 5, 3, 5, 3, 3, 2, 3, 4, 4, 3, 5, 7, 7, 4, 3, 3, 4, 5, 3, 5, 5, 7, 7, 5, 5, 5, 4, 4, 5, 6, 5, 6, 5, 4, 4, 5, 7, 1, 4, 1, 2, 6, 4, 8, 7, 3, 4, 3, 4, 5, 6, 5, 5, 5, 6, 5, 6, 6, 6, 4, 3, 3, 4, 6, 6, 5, 6, 5, 5, 6, 3, 5, 6, 8, 7, 3, 5, 7, 3, 6, 6, 4, 6, 3, 5, 4, 3, 5, 7, 4, 3, 3, 5, 6, 7, 3, 4, 6, 4, 3, 4, 4, 5, 3, 6, 5, 8, 7, 5, 4, 5, 4, 3, 4, 6, 5, 5, 3, 4, 4, 6, 8, 5, 4, 3, 3, 5, 7, 5, 2, 5, 4, 5, 5, 6, 4, 4, 2, 7, 4, 5, 4, 6, 3, 5, 6, 4, 2, 6, 4, 5, 4, 3, 2, 4, 2, 6, 6, 2, 5, 5, 5, 5, 3, 4, 6, 4, 5, 5, 7, 4, 4, 4, 5, 6, 4, 4, 6, 3, 5, 3, 6, 2, 3, 4, 3, 2, 2, 4, 3, 5, 4, 6, 5, 4, 7, 6, 5, 5, 3, 3, 5, 5, 8, 6, 3, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 6, 2, 1, 5, 6, 4, 1, 0, 7, 6, 3, 5, 6, 6, 4, 5, 3, 6, 5, 3, 6, 6, 5, 6, 3, 4, 5, 5, 4, 4, 6, 4, 4, 4, 7, 3, 2, 3, 7, 4, 6, 3, 5, 6, 5, 6, 4, 2, 5, 3, 5, 5, 6, 5, 4, 4, 4, 3, 2, 5, 6, 3, 2, 5, 4, 6, 6, 4, 6, 5, 5, 5, 4, 3, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 5, 6, 3, 4, 6, 4, 4, 5, 5, 4, 5, 6, -1 6, 6, 4, 3, 3, 3, 4, 6, 5, 5, 3, 4, 5, 3, 2, 6, 4, 5, 3, 5, 5, 4, 5, 6, 6, 4, 5, 4, 6, 5, 5, 5, 2, 4, 4, 3, 6, 5, 6, 5, 5, 2, 5, 0, 6, 4, 4, 5, 2, 4, 3, 4, 5, 4, 3, 3, 5, 6, 4, 7, 1, 3, 6, 4, 6, 3, 4, 6, 2, 5, 5, 5, 3, 5, 4, 7, 4, 6, 3, 5, 3, 6, 3, 5, 4, 4, 4, 3, 6, 4, 4, 3, 7, 6, 4, 1, 2, 3, 5, 3, 5, 5, 6, 4, 5, 3, 4, 5, 2, 5, 2, 4, 5, 5, 7, 3, 2, 3, 4, 6, 3, 4, 5, 4, 6, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 9, 5, 5, 6, 5, 4, 7, 6, 5, 3, 5, 6, 3, 4, 3, 5, 4, 4, 4, 4, 6, 6, 6, 6, 4, 3, 4, 4, 6, 4, 5, 5, 4, 7, 4, 3, 3, 8, 4, 3, 4, 3, 3, 3, 5, 5, 5, 4, 6, 4, 6, 5, 3, 4, 6, 2, 3, 2, 4, 5, 6, 4, 5, 3, 3, 3, 3, 5, 4, 6, 3, 4, 3, 3, 3, 4, 2, 5, 5, 3, 4, 4, 5, 2, 5, 6, 3, 6, 4, 6, 3, 4, 4, 5, 5, 4, 4, 5, 7, 4, 2, 6, 2, 3, 7, 5, 5, 3, 4, 3, 5, 5, 6, 5, 6, 4, 5, 1, 4, 5, 5, 7, 5, 5, 2, 8, 4, 3, 5, 5, 5, 6, 4, 8, 3, 6, 0, 7, 2, 5, 4, 3, 3, 7, 4, 3, 4, 4, 4, 2, 3, 8, 3, 2, 5, 4, 5, 5, 4, 5, 6, 7, 6, 3, 8, 4, 3, 1, 4, 6, 5, 8, 5, 5, 5, 4, 2, 5, 6, 6, 5, 3, 3, 7, 5, 4, 3, 6, 6, 4, 4, 8, 5, 5, 5, 2, 3, 5, 5, 6, 6, 4, 4, 2, 6, 2, 5, 5, 6, 4, 3, 3, 2, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 3, 5, 7, 6, 2, 3, 7, 3, 7, 4, 5, 5, 3, 6, 4, 2, 3, 3, 5, 6, 3, 5, 5, 6, 6, 1, 5, 6, 4, 4, 3, 6, 3, 5, 4, 2, 3, 5, 0, 7, 6, 1, 6, 8, 4, 2, 4, 8, 3, 6, 1, 3, 3, 7, 4, 5, 3, 4, 5, 4, 4, 2, 4, 7, 3, 4, 6, 8, 5, 4, 3, 6, 3, 4, 4, 4, 5, 6, 3, 6, 3, 7, 3, 4, 4, 4, 5, 7, 5, 5, 5, 8, 4, 5, 3, 4, 5, 5, 6, 4, 3, 4, 0, 3, 5, 6, 3, 5, 3, 6, 7, 4, 2, 5, 7, 6, 3, 7, 6, 5, 6, 2, 3, 6, 6, 2, 2, 8, 4, 2, 4, 7, 4, 4, 3, 5, 3, -1 4, 6, 0, 2, 5, 2, 5, 5, 5, 8, 5, 5, 5, 5, 4, 3, 5, 6, 3, 6, 7, 5, 7, 5, 7, 4, 3, 5, 7, 6, 4, 5, 5, 4, 6, 7, 3, 4, 4, 4, 5, 4, 7, 5, 5, 5, 4, 4, 3, 4, 5, 6, 5, 4, 5, 5, 3, 4, 6, 5, 5, 2, 4, 2, 4, 6, 3, 4, 5, 4, 5, 6, 5, 6, 5, 7, 3, 5, 6, 5, 2, 4, 1, 4, 3, 5, 3, 3, 4, 4, 7, 3, 5, 4, 3, 5, 6, 4, 6, 4, 4, 3, 3, 3, 2, 5, 2, 6, 6, 4, 4, 1, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 6, 4, 3, 5, 2, 3, 6, 7, 6, 3, 4, 4, 6, 6, 3, 4, 4, 3, 3, 6, 7, 3, 2, 6, 3, 6, 3, 3, 5, 5, 7, 4, 5, 3, 4, 5, 5, 6, 3, 4, 5, 8, 5, 2, 7, 2, 3, 1, 4, 4, 6, 6, 4, 5, 5, 6, 5, 4, 5, 4, 2, 5, 3, 5, 6, 4, 6, 5, 5, 2, 3, 2, 2, 5, 6, 5, 2, 4, 4, 4, 4, 5, 3, 6, 4, 3, 5, 4, 2, 5, 1, 7, 4, 6, 3, 5, 6, 5, 5, 3, 4, 3, 5, 4, 5, 2, 6, 5, 3, 6, 5, 3, 4, 4, 3, 4, 6, 7, 7, 4, 5, 6, 6, 5, 5, 5, 3, 7, 3, 4, 4, 4, 5, 5, 5, 2, 6, 4, 4, 4, 2, 4, 4, 2, 5, 5, 4, 3, 6, 6, 3, 5, 7, 4, 4, 5, 4, 4, 2, 3, 6, 4, 4, 3, 4, 4, 2, 5, 9, 6, 5, 3, 3, 6, 5, 4, 5, 5, 5, 7, 2, 5, 6, 6, 5, 8, 4, 5, 7, 6, 3, 3, 5, 7, 6, 6, 8, 3, 3, 6, 6, 3, 4, 6, 5, 5, 6, 5, 4, 5, 4, 3, 5, 3, 3, 5, 4, 3, 1, 5, 3, 6, 2, 5, 3, 6, 4, 3, 6, 4, 7, 7, 6, 4, 5, 4, 5, 6, 6, 7, 5, 4, 4, 4, 5, 2, 6, 4, 4, 6, 4, 6, 9, 4, 6, 6, 3, 5, 4, 4, 3, 4, 3, 5, 4, 5, 7, 2, 5, 6, 4, 5, 2, 4, 5, 3, 6, 3, 5, 6, 6, 4, 5, 3, 7, 9, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 6, 6, 6, 6, 2, 6, 2, 5, 4, 4, 7, 3, 5, 4, 6, 6, 4, 4, 3, 4, 5, 6, 6, 7, 3, 4, 7, 4, 5, 5, 3, 2, 5, 6, 5, 6, 3, 6, 1, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 6, 5, 3, 6, 5, 4, 3, 5, 4, 7, 4, 7, 6, 4, 2, 9, 4, 1 2, 5, 6, 6, 4, 3, 5, 4, 6, 3, 5, 4, 7, 5, 6, 4, 3, 7, 2, 3, 5, 5, 6, 4, 6, 5, 1, 5, 3, 1, 4, 5, 5, 5, 7, 4, 3, 3, 5, 2, 3, 5, 4, 3, 6, 5, 5, 5, 4, 5, 5, 6, 3, 3, 4, 6, 3, 3, 4, 2, 5, 3, 3, 4, 6, 4, 6, 3, 7, 6, 6, 4, 4, 4, 2, 7, 3, 4, 3, 3, 5, 3, 5, 4, 3, 4, 6, 4, 5, 6, 4, 6, 5, 4, 4, 3, 4, 5, 3, 6, 4, 9, 4, 5, 3, 4, 3, 5, 1, 5, 3, 3, 5, 5, 2, 2, 2, 5, 3, 5, 3, 5, 4, 6, 6, 6, 5, 7, 5, 4, 3, 7, 6, 4, 2, 3, 3, 1, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 6, 5, 2, 6, 5, 6, 5, 6, 4, 2, 7, 5, 5, 5, 4, 4, 4, 2, 4, 3, 3, 6, 6, 5, 4, 4, 7, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 6, 4, 6, 3, 4, 5, 4, 7, 4, 7, 4, 3, 4, 4, 3, 7, 2, 4, 4, 5, 5, 5, 3, 3, 1, 3, 2, 4, 7, 7, 6, 5, 5, 2, 2, 7, 6, 8, 2, 6, 3, 6, 4, 3, 6, 5, 4, 4, 6, 5, 5, 3, 5, 3, 4, 4, 3, 4, 5, 5, 4, 2, 6, 2, 7, 5, 4, 5, 4, 2, 4, 4, 6, 4, 4, 3, 5, 3, 4, 4, 5, 2, 4, 2, 5, 8, 1, 3, 5, 4, 7, 2, 4, 7, 5, 5, 6, 5, 3, 4, 4, 7, 4, 6, 5, 4, 6, 3, 7, 6, 5, 5, 4, 5, 4, 4, 3, 6, 0, 4, 5, 5, 4, 4, 4, 5, 6, 1, 6, 5, 3, 7, 4, 3, 6, 5, 5, 3, 4, 4, 2, 5, 3, 7, 6, 2, 6, 4, 2, 3, 5, 5, 5, 5, 2, 4, 3, 5, 5, 4, 5, 3, 5, 6, 5, 5, 2, 7, 5, 4, 4, 4, 6, 3, 5, 7, 3, 4, 4, 5, 1, 5, 2, 3, 4, 4, 4, 5, 5, 7, 5, 6, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 4, 6, 3, 4, 6, 3, 4, 4, 5, 4, 4, 4, 4, 2, 6, 5, 4, 5, 7, 5, 7, 6, 6, 5, 2, 4, 3, 2, 5, 4, 2, 5, 6, 5, 5, 4, 2, 5, 4, 6, 4, 5, 3, 5, 6, 3, 6, 4, 4, 5, 4, 8, 5, 1, 4, 6, 5, 2, 3, 5, 4, 2, 5, 5, 3, 4, 8, 4, 3, 6, 6, 1, 4, 3, 7, 2, 9, 3, 3, 2, 5, 4, 3, 1, 3, 6, 4, 5, 2, 7, 5, 2, 2, 3, 6, 3, 4, 7, 3, 7, 4, 3, 5, 4, 2, 6, 6, 3, 8, 7, 7, 4, 3, -1 6, 6, 5, 4, 2, 3, 5, 3, 4, 7, 4, 5, 4, 4, 4, 5, 6, 5, 4, 4, 5, 4, 6, 4, 4, 3, 5, 3, 4, 4, 5, 6, 4, 6, 7, 6, 2, 4, 5, 2, 2, 4, 4, 5, 6, 6, 3, 4, 2, 5, 5, 4, 4, 5, 4, 7, 4, 7, 5, 2, 6, 5, 6, 5, 3, 4, 4, 4, 3, 6, 6, 6, 2, 3, 4, 2, 3, 4, 4, 3, 5, 6, 1, 2, 5, 5, 6, 1, 4, 4, 7, 5, 4, 3, 4, 4, 6, 5, 5, 5, 4, 4, 4, 5, 5, 4, 6, 4, 5, 4, 3, 3, 3, 7, 3, 4, 4, 1, 6, 6, 4, 5, 3, 3, 5, 5, 5, 6, 5, 6, 5, 6, 2, 7, 6, 6, 2, 7, 6, 6, 5, 6, 6, 5, 4, 5, 4, 5, 3, 5, 7, 5, 4, 4, 5, 4, 3, 4, 5, 6, 5, 2, 5, 4, 4, 6, 7, 3, 8, 2, 6, 2, 4, 3, 4, 7, 3, 1, 5, 3, 4, 7, 4, 4, 5, 6, 4, 4, 4, 5, 8, 4, 4, 6, 4, 5, 3, 3, 6, 3, 4, 4, 5, 4, 7, 3, 3, 5, 4, 7, 4, 5, 5, 3, 2, 5, 2, 5, 4, 4, 6, 4, 0, 5, 5, 4, 6, 4, 4, 4, 6, 3, 6, 6, 2, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 6, 8, 5, 4, 8, 5, 3, 3, 5, 4, 7, 5, 5, 4, 6, 6, 4, 5, 7, 5, 3, 5, 3, 3, 5, 4, 3, 5, 3, 6, 3, 4, 4, 1, 3, 2, 4, 4, 5, 6, 3, 6, 4, 5, 5, 3, 5, 6, 5, 5, 2, 6, 2, 5, 4, 7, 8, 4, 3, 2, 7, 6, 7, 5, 6, 7, 4, 1, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 6, 5, 6, 4, 2, 3, 5, 3, 2, 4, 3, 4, 4, 1, 5, 6, 5, 3, 5, 4, 5, 5, 4, 5, 6, 4, 4, 4, 4, 6, 5, 6, 2, 3, 7, 5, 3, 4, 5, 2, 7, 3, 4, 4, 6, 5, 5, 6, 6, 5, 5, 6, 2, 4, 3, 3, 4, 4, 3, 3, 6, 4, 5, 5, 4, 2, 5, 3, 3, 5, 5, 4, 5, 3, 6, 5, 4, 6, 3, 4, 6, 3, 5, 5, 6, 7, 5, 3, 2, 5, 5, 3, 8, 6, 5, 4, 6, 7, 6, 6, 3, 4, 6, 6, 5, 4, 4, 4, 6, 5, 5, 4, 4, 4, 4, 3, 5, 2, 2, 6, 5, 6, 3, 5, 2, 4, 5, 5, 2, 4, 7, 4, 5, 5, 5, 6, 4, 4, 9, 4, 7, 5, 6, 4, 1, 5, 5, 4, 5, 5, 4, 7, 4, 3, 3, 5, 5, 6, 6, 7, 5, 6, 6, 4, 5, 2, 4, 4, 6, 6, 6, 3, 7, 2, -1 6, 3, 5, 1, 4, 2, 5, 3, 7, 5, 7, 4, 6, 5, 4, 6, 3, 6, 3, 5, 7, 4, 4, 4, 4, 5, 2, 3, 6, 4, 4, 3, 5, 3, 4, 6, 5, 4, 3, 6, 6, 6, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 2, 4, 4, 4, 5, 2, 3, 7, 5, 2, 3, 4, 3, 4, 6, 4, 4, 4, 6, 5, 4, 5, 5, 3, 2, 2, 2, 2, 3, 4, 6, 3, 5, 5, 3, 4, 7, 7, 6, 6, 3, 5, 4, 2, 3, 5, 6, 4, 7, 5, 6, 3, 6, 7, 6, 2, 1, 3, 6, 5, 6, 2, 5, 7, 4, 4, 4, 4, 7, 4, 6, 7, 5, 4, 5, 6, 5, 6, 6, 3, 8, 5, 5, 2, 6, 5, 7, 2, 8, 4, 3, 3, 6, 6, 7, 2, 3, 4, 6, 5, 6, 6, 2, 5, 4, 5, 1, 6, 5, 4, 6, 6, 5, 6, 2, 6, 3, 5, 2, 3, 1, 5, 4, 6, 4, 4, 8, 4, 4, 6, 4, 6, 7, 5, 3, 4, 4, 2, 3, 3, 5, 3, 5, 5, 5, 6, 5, 4, 5, 7, 6, 3, 4, 4, 3, 4, 5, 5, 6, 1, 5, 5, 2, 3, 6, 7, 4, 1, 4, 7, 3, 4, 0, 5, 5, 6, 3, 4, 3, 4, 5, 8, 3, 4, 8, 7, 6, 5, 5, 3, 5, 5, 2, 7, 7, 4, 6, 5, 0, 5, 7, 4, 6, 4, 3, 3, 5, 5, 4, 3, 2, 3, 1, 2, 5, 3, 4, 5, 3, 6, 2, 3, 5, 7, 4, 7, 5, 1, 7, 5, 4, 5, 2, 6, 4, 2, 6, 4, 4, 2, 4, 3, 6, 4, 4, 5, 6, 4, 6, 4, 4, 5, 2, 3, 6, 4, 3, 7, 3, 6, 5, 5, 5, 5, 3, 6, 5, 7, 7, 6, 4, 5, 3, 7, 2, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 2, 4, 2, 5, 6, 4, 4, 3, 7, 4, 3, 5, 5, 3, 5, 4, 2, 7, 4, 5, 5, 5, 6, 3, 6, 1, 3, 4, 6, 2, 7, 6, 3, 8, 2, 5, 2, 4, 3, 5, 4, 3, 1, 6, 2, 3, 5, 5, 4, 3, 2, 4, 4, 4, 6, 7, 4, 6, 4, 5, 8, 4, 3, 5, 4, 6, 5, 5, 3, 5, 2, 7, 6, 3, 3, 6, 6, 5, 3, 3, 6, 6, 5, 5, 5, 4, 2, 3, 3, 4, 3, 3, 6, 4, 6, 7, 3, 5, 6, 4, 3, 7, 5, 5, 3, 3, 4, 8, 2, 4, 7, 4, 5, 6, 3, 6, 3, 3, 1, 5, 3, 5, 5, 5, 3, 3, 3, 3, 7, 5, 5, 6, 4, 8, 3, 4, 7, 5, 3, 7, 3, 3, 5, 3, 3, 4, 6, 5, 1, 6, 2, 6, 4, 4, 5, 6, 3, 5, 6, 5, 5, 6, -1 4, 2, 6, 5, 1, 2, 7, 6, 5, 4, 4, 6, 5, 4, 4, 5, 5, 4, 3, 7, 4, 5, 7, 6, 4, 6, 4, 6, 7, 4, 4, 5, 5, 3, 6, 4, 2, 5, 6, 5, 6, 1, 4, 5, 4, 5, 4, 5, 2, 4, 2, 3, 5, 6, 5, 9, 5, 6, 2, 2, 5, 8, 2, 4, 4, 4, 4, 6, 6, 3, 4, 5, 3, 6, 5, 4, 5, 6, 2, 3, 3, 6, 6, 4, 5, 6, 3, 4, 4, 2, 2, 6, 6, 3, 6, 2, 4, 5, 5, 6, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 1, 3, 5, 4, 7, 4, 7, 3, 4, 6, 6, 6, 6, 5, 6, 6, 7, 5, 4, 4, 4, 4, 6, 8, 5, 1, 3, 4, 6, 4, 2, 4, 4, 3, 3, 4, 3, 1, 3, 6, 4, 5, 5, 3, 3, 6, 6, 5, 7, 5, 6, 2, 8, 4, 4, 5, 6, 7, 1, 8, 6, 5, 5, 6, 7, 2, 3, 7, 4, 5, 4, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 6, 2, 5, 4, 5, 4, 5, 3, 5, 3, 4, 3, 2, 6, 5, 2, 5, 2, 3, 7, 2, 4, 6, 8, 4, 4, 4, 4, 1, 3, 4, 6, 5, 5, 3, 4, 6, 5, 4, 5, 4, 4, 6, 6, 6, 6, 4, 6, 4, 5, 5, 5, 3, 4, 7, 5, 5, 6, 4, 5, 4, 5, 4, 4, 4, 4, 1, 4, 4, 5, 5, 3, 3, 5, 4, 7, 3, 3, 7, 7, 2, 6, 9, 3, 3, 3, 4, 5, 3, 6, 4, 2, 4, 6, 1, 3, 3, 4, 4, 6, 4, 4, 6, 3, 5, 7, 4, 4, 5, 5, 2, 7, 6, 5, 4, 6, 4, 5, 4, 5, 5, 7, 6, 3, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 2, 4, 6, 2, 4, 3, 6, 5, 5, 5, 5, 3, 4, 2, 4, 5, 6, 5, 7, 5, 4, 5, 6, 5, 4, 5, 3, 6, 4, 4, 6, 5, 5, 4, 3, 5, 8, 4, 2, 3, 4, 6, 4, 8, 5, 1, 5, 2, 3, 5, 3, 5, 4, 3, 5, 4, 4, 6, 4, 3, 5, 4, 6, 5, 3, 6, 4, 5, 3, 5, 6, 4, 4, 5, 2, 4, 4, 4, 4, 4, 5, 3, 6, 5, 5, 4, 6, 5, 4, 3, 4, 2, 4, 7, 1, 7, 5, 3, 3, 4, 4, 3, 3, 5, 2, 6, 5, 3, 7, 6, 3, 3, 8, 5, 4, 7, 6, 5, 5, 4, 6, 4, 2, 2, 6, 5, 6, 3, 5, 5, 4, 4, 3, 3, 4, 3, 4, 6, 4, 2, 7, 3, 5, 4, 5, 4, 6, 5, 2, 3, 4, 6, 4, 5, 2, 3, 3, 4, 5, 4, 3, 5, 1, 6, 3, 5, 6, 4, 3, -1 6, 4, 3, 5, 4, 2, 7, 4, 5, 7, 3, 4, 7, 3, 5, 5, 7, 2, 5, 5, 5, 4, 3, 3, 4, 4, 2, 4, 6, 2, 3, 3, 3, 3, 7, 4, 4, 3, 5, 3, 4, 5, 4, 6, 3, 4, 5, 4, 3, 3, 1, 5, 5, 4, 6, 5, 5, 5, 4, 5, 6, 2, 2, 7, 4, 4, 2, 5, 5, 5, 3, 5, 3, 3, 5, 4, 2, 4, 4, 4, 9, 4, 3, 6, 4, 8, 4, 5, 5, 4, 4, 6, 6, 4, 5, 4, 6, 3, 3, 6, 4, 5, 2, 4, 3, 5, 3, 7, 7, 4, 4, 3, 5, 3, 4, 2, 3, 3, 4, 5, 5, 5, 4, 6, 6, 4, 4, 4, 6, 4, 3, 2, 3, 6, 2, 1, 4, 3, 6, 4, 3, 5, 5, 3, 4, 3, 3, 4, 6, 6, 6, 5, 3, 4, 4, 4, 7, 5, 4, 5, 4, 4, 6, 6, 4, 1, 4, 2, 6, 5, 6, 7, 2, 6, 1, 3, 6, 6, 4, 3, 6, 3, 4, 6, 5, 6, 6, 7, 3, 5, 6, 6, 5, 1, 3, 5, 4, 6, 4, 4, 4, 4, 7, 5, 4, 3, 3, 6, 7, 7, 2, 4, 4, 8, 5, 6, 6, 3, 3, 5, 4, 6, 4, 5, 3, 4, 5, 3, 6, 3, 7, 4, 4, 4, 5, 1, 5, 2, 6, 4, 4, 3, 4, 4, 4, 9, 6, 4, 1, 6, 6, 3, 4, 1, 4, 5, 4, 5, 3, 2, 4, 5, 3, 6, 3, 3, 6, 6, 5, 3, 6, 4, 5, 3, 5, 6, 2, 3, 4, 4, 3, 3, 7, 2, 6, 3, 4, 5, 4, 4, 7, 6, 4, 4, 5, 7, 4, 5, 4, 6, 4, 4, 4, 5, 5, 3, 3, 4, 7, 6, 8, 4, 4, 8, 3, 2, 5, 5, 6, 6, 8, 7, 3, 4, 2, 1, 3, 3, 4, 5, 8, 7, 2, 5, 5, 4, 3, 4, 5, 2, 3, 5, 4, 2, 6, 6, 6, 4, 5, 7, 5, 6, 4, 5, 6, 4, 5, 1, 4, 6, 5, 4, 6, 3, 4, 3, 3, 3, 3, 5, 4, 5, 7, 7, 3, 6, 1, 4, 3, 4, 5, 4, 5, 6, 3, 7, 4, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 5, 1, 4, 9, 6, 5, 5, 4, 3, 6, 5, 5, 5, 3, 3, 7, 8, 5, 4, 3, 7, 4, 5, 4, 5, 5, 5, 2, 4, 7, 4, 5, 3, 5, 4, 7, 3, 2, 3, 5, 5, 0, 4, 5, 5, 5, 3, 5, 5, 4, 6, 4, 2, 6, 1, 6, 5, 5, 2, 5, 4, 3, 4, 6, 5, 3, 4, 6, 6, 6, 4, 2, 3, 5, 5, 2, 6, 2, 4, 4, 6, 5, 2, 7, 3, 3, 3, 6, 6, 4, 5, 4, 5, 6, 3, 4, 3, 1 5, 3, 4, 3, 3, 6, 3, 3, 5, 3, 5, 2, 7, 4, 3, 5, 4, 5, 2, 4, 6, 4, 2, 6, 4, 3, 2, 4, 4, 5, 4, 5, 3, 2, 7, 7, 3, 5, 4, 6, 7, 5, 4, 5, 5, 5, 4, 4, 2, 4, 5, 3, 5, 5, 5, 6, 7, 6, 4, 6, 5, 6, 5, 5, 3, 4, 6, 6, 5, 4, 2, 3, 4, 5, 3, 3, 5, 2, 5, 4, 6, 4, 3, 4, 4, 5, 3, 5, 5, 8, 4, 4, 4, 3, 7, 5, 4, 4, 3, 4, 3, 7, 5, 5, 4, 4, 5, 1, 5, 6, 3, 6, 8, 5, 3, 5, 4, 3, 4, 6, 4, 7, 6, 5, 6, 2, 6, 5, 5, 8, 5, 3, 6, 5, 3, 4, 4, 5, 5, 6, 4, 2, 8, 4, 2, 5, 5, 4, 5, 4, 3, 6, 6, 4, 5, 3, 4, 4, 2, 4, 8, 5, 3, 7, 5, 3, 8, 1, 4, 4, 7, 4, 4, 6, 4, 5, 5, 5, 6, 5, 4, 3, 2, 6, 6, 3, 4, 6, 3, 6, 7, 1, 4, 5, 4, 4, 3, 7, 5, 5, 6, 5, 4, 5, 4, 3, 7, 5, 3, 5, 7, 2, 6, 6, 1, 6, 3, 5, 7, 4, 4, 6, 3, 5, 4, 4, 4, 5, 6, 6, 5, 3, 5, 5, 1, 5, 4, 4, 5, 4, 6, 6, 5, 5, 4, 3, 6, 4, 6, 3, 7, 5, 3, 3, 4, 4, 2, 6, 4, 4, 7, 7, 2, 7, 5, 4, 4, 5, 3, 5, 4, 5, 4, 2, 3, 3, 7, 8, 4, 7, 2, 4, 6, 4, 4, 4, 3, 6, 2, 5, 4, 4, 3, 5, 5, 5, 3, 5, 4, 5, 4, 6, 5, 1, 4, 4, 4, 7, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 8, 0, 6, 4, 5, 7, 2, 5, 4, 5, 2, 2, 6, 4, 3, 4, 5, 3, 4, 4, 6, 4, 5, 5, 4, 2, 2, 4, 7, 2, 1, 5, 4, 5, 2, 4, 5, 4, 2, 5, 5, 3, 2, 6, 3, 5, 5, 6, 5, 7, 3, 3, 3, 4, 5, 6, 3, 4, 4, 2, 5, 3, 4, 2, 6, 3, 4, 3, 5, 6, 3, 6, 5, 3, 4, 4, 5, 5, 5, 4, 6, 3, 5, 7, 7, 5, 5, 7, 5, 3, 5, 4, 2, 4, 5, 5, 4, 4, 5, 8, 5, 3, 4, 4, 4, 7, 2, 5, 4, 3, 5, 5, 6, 2, 4, 4, 5, 5, 7, 4, 3, 5, 6, 6, 5, 6, 6, 5, 3, 4, 3, 6, 3, 4, 5, 6, 3, 4, 4, 6, 6, 3, 6, 6, 7, 4, 4, 2, 4, 3, 4, 3, 2, 6, 4, 4, 5, 3, 2, 3, 4, 3, 4, 4, 4, 4, 1, 7, 2, 3, 5, 4, 2, 5, 5, 6, 8, 2, 3, 5, 5, -1 3, 4, 3, 6, 4, 8, 6, 3, 4, 4, 3, 6, 4, 6, 5, 8, 2, 3, 4, 5, 4, 6, 5, 4, 3, 5, 4, 4, 6, 5, 3, 3, 7, 9, 6, 4, 4, 7, 4, 4, 2, 5, 6, 3, 2, 6, 5, 5, 3, 2, 5, 6, 5, 3, 2, 6, 4, 6, 2, 4, 5, 5, 2, 5, 3, 6, 6, 4, 4, 4, 5, 6, 4, 3, 4, 5, 3, 4, 5, 3, 4, 2, 3, 4, 4, 5, 5, 4, 4, 7, 4, 4, 4, 4, 2, 3, 4, 7, 5, 5, 5, 5, 6, 3, 5, 6, 7, 3, 3, 7, 2, 4, 5, 6, 5, 4, 7, 4, 6, 2, 3, 2, 2, 3, 4, 5, 5, 5, 6, 5, 4, 1, 5, 5, 2, 5, 5, 7, 5, 3, 3, 7, 4, 2, 6, 3, 4, 4, 3, 2, 3, 5, 2, 6, 5, 3, 6, 5, 5, 4, 5, 3, 3, 2, 3, 3, 7, 5, 6, 3, 5, 4, 5, 4, 2, 7, 9, 5, 6, 3, 2, 7, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 2, 6, 6, 5, 3, 5, 6, 5, 3, 6, 3, 5, 6, 6, 5, 3, 5, 6, 3, 7, 5, 6, 4, 3, 3, 6, 4, 6, 6, 3, 3, 1, 5, 5, 4, 4, 3, 5, 3, 5, 5, 4, 1, 6, 7, 3, 6, 6, 5, 6, 7, 4, 5, 5, 5, 4, 4, 6, 1, 4, 3, 3, 4, 7, 3, 7, 3, 3, 6, 2, 6, 3, 4, 3, 5, 3, 3, 4, 4, 2, 4, 5, 3, 7, 7, 5, 6, 5, 2, 6, 5, 5, 6, 5, 5, 5, 1, 5, 5, 5, 1, 6, 3, 6, 4, 4, 4, 5, 6, 5, 4, 3, 6, 6, 5, 1, 2, 4, 4, 5, 4, 4, 3, 4, 6, 5, 6, 7, 4, 3, 4, 6, 5, 6, 3, 4, 6, 2, 5, 4, 4, 6, 5, 5, 3, 5, 2, 6, 6, 4, 1, 6, 4, 6, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 6, 6, 6, 5, 6, 5, 3, 5, 5, 5, 4, 7, 4, 5, 4, 4, 5, 5, 5, 2, 7, 3, 4, 7, 5, 2, 1, 3, 6, 6, 4, 8, 5, 2, 4, 4, 3, 4, 6, 3, 5, 5, 3, 4, 5, 3, 4, 3, 5, 3, 5, 4, 6, 5, 4, 4, 4, 6, 4, 1, 5, 3, 4, 4, 3, 4, 2, 5, 1, 5, 3, 4, 4, 6, 2, 6, 6, 5, 3, 8, 2, 5, 3, 6, 5, 3, 3, 3, 3, 3, 1, 3, 5, 6, 6, 5, 6, 4, 3, 4, 6, 4, 3, 5, 5, 3, 5, 3, 4, 5, 5, 4, 5, 3, 5, 3, 4, 7, 6, 5, 7, 2, 1, 5, 4, 4, 6, 5, 6, 3, 5, 3, 2, 6, 2, 5, 5, 4, 6, 4, 3, 4, 3, -1 3, 4, 6, 4, 5, 3, 4, 6, 3, 0, 5, 5, 3, 6, 5, 4, 7, 5, 5, 5, 6, 6, 4, 4, 3, 4, 5, 4, 6, 5, 5, 6, 3, 4, 7, 6, 6, 4, 3, 3, 6, 6, 5, 2, 6, 4, 6, 4, 6, 3, 3, 4, 5, 4, 3, 5, 5, 3, 1, 5, 5, 7, 5, 5, 6, 4, 5, 4, 5, 3, 4, 7, 3, 6, 6, 3, 3, 4, 6, 1, 3, 4, 1, 6, 4, 2, 5, 5, 4, 5, 4, 6, 3, 5, 4, 6, 4, 5, 4, 6, 5, 4, 6, 5, 3, 6, 7, 7, 4, 5, 3, 4, 5, 3, 6, 6, 6, 5, 6, 5, 6, 5, 3, 7, 4, 7, 4, 7, 6, 6, 4, 3, 4, 5, 4, 5, 6, 6, 5, 5, 3, 7, 3, 4, 2, 6, 4, 4, 5, 5, 4, 4, 6, 6, 3, 1, 7, 4, 2, 6, 6, 3, 4, 7, 4, 2, 3, 4, 4, 3, 3, 6, 2, 3, 6, 2, 5, 4, 1, 6, 8, 5, 6, 5, 5, 6, 6, 5, 5, 4, 5, 6, 5, 4, 4, 5, 3, 4, 4, 5, 4, 7, 6, 4, 3, 3, 5, 6, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 5, 4, 2, 4, 5, 7, 3, 3, 3, 3, 3, 6, 5, 4, 4, 4, 3, 8, 6, 4, 3, 5, 2, 5, 4, 5, 5, 4, 4, 3, 1, 4, 4, 5, 5, 6, 3, 2, 4, 6, 6, 5, 3, 7, 5, 4, 3, 4, 5, 6, 4, 3, 3, 5, 5, 4, 4, 5, 4, 3, 6, 5, 1, 4, 3, 5, 8, 2, 5, 2, 5, 8, 5, 6, 6, 8, 5, 5, 5, 7, 3, 0, 6, 5, 4, 6, 6, 3, 2, 9, 4, 3, 5, 6, 2, 3, 5, 4, 6, 7, 3, 6, 4, 5, 2, 4, 5, 4, 6, 3, 4, 4, 7, 5, 3, 5, 6, 3, 2, 4, 2, 4, 7, 6, 5, 5, 2, 4, 3, 5, 5, 4, 4, 3, 4, 6, 6, 5, 5, 5, 6, 4, 6, 5, 5, 6, 2, 7, 5, 2, 6, 5, 6, 6, 4, 5, 5, 5, 5, 4, 4, 5, 3, 3, 4, 6, 4, 7, 5, 4, 3, 3, 7, 5, 5, 4, 6, 4, 3, 5, 4, 3, 4, 7, 5, 3, 7, 5, 5, 2, 2, 7, 5, 2, 6, 2, 4, 6, 3, 5, 6, 3, 3, 7, 6, 7, 6, 5, 7, 5, 5, 2, 5, 7, 4, 6, 4, 6, 5, 5, 7, 4, 3, 3, 4, 4, 6, 4, 7, 4, 4, 5, 3, 6, 4, 5, 5, 6, 6, 4, 4, 2, 3, 5, 7, 5, 5, 6, 6, 4, 6, 5, 6, 4, 5, 4, 5, 5, 3, 3, 7, 7, 3, 3, 3, 3, 4, -1 5, 5, 3, 4, 2, 4, 6, 5, 3, 4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 6, 5, 4, 4, 6, 5, 5, 4, 2, 6, 5, 5, 4, 5, 3, 7, 4, 3, 5, 6, 5, 6, 5, 5, 6, 4, 2, 4, 2, 5, 5, 7, 3, 5, 4, 5, 5, 5, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 6, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 1, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 2, 6, 3, 4, 5, 2, 4, 3, 7, 6, 5, 2, 4, 7, 6, 6, 2, 4, 3, 7, 2, 4, 4, 1, 5, 5, 4, 5, 7, 7, 6, 7, 3, 3, 4, 3, 7, 3, 4, 4, 3, 4, 4, 4, 7, 5, 4, 5, 5, 4, 6, 4, 6, 5, 4, 5, 7, 6, 2, 4, 4, 4, 4, 3, 4, 9, 6, 7, 6, 4, 5, 7, 5, 4, 4, 4, 6, 5, 8, 5, 8, 6, 2, 6, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 8, 6, 5, 2, 3, 6, 2, 4, 5, 5, 4, 4, 4, 6, 4, 3, 3, 4, 5, 6, 5, 8, 6, 4, 3, 3, 5, 4, 6, 5, 5, 4, 2, 3, 4, 4, 6, 5, 3, 5, 6, 2, 8, 4, 3, 4, 5, 4, 5, 6, 2, 2, 5, 4, 4, 4, 5, 5, 7, 5, 4, 4, 3, 6, 5, 4, 6, 5, 5, 6, 5, 6, 3, 7, 5, 3, 5, 5, 6, 6, 3, 5, 3, 4, 6, 4, 3, 1, 6, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 5, 2, 6, 6, 1, 6, 7, 3, 5, 5, 2, 6, 2, 5, 4, 4, 6, 4, 6, 3, 6, 4, 4, 5, 6, 4, 3, 6, 6, 1, 3, 6, 6, 3, 2, 3, 5, 5, 3, 4, 2, 5, 5, 4, 4, 3, 4, 4, 2, 5, 1, 5, 6, 6, 6, 5, 3, 4, 7, 6, 5, 6, 4, 6, 5, 3, 4, 4, 5, 3, 7, 6, 3, 5, 6, 7, 5, 6, 5, 6, 5, 5, 4, 5, 3, 2, 5, 6, 4, 5, 5, 5, 5, 4, 3, 4, 6, 4, 5, 3, 4, 6, 5, 1, 6, 8, 3, 4, 2, 4, 2, 7, 5, 3, 6, 6, 2, 4, 2, 4, 3, 3, 3, 5, 5, 4, 5, 3, 3, 2, 5, 5, 7, 5, 2, 6, 4, 3, 3, 7, 4, 6, 6, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 4, 7, 4, 2, 6, 4, 6, 6, 5, 3, 5, 6, 4, 5, 2, 5, 3, 6, 4, 4, 4, 4, 5, 4, 5, 6, 6, 4, 4, 4, 5, 5, 2, 5, 6, 3, 4, 4, 4, 4, 4, 6, 5, 6, 2, 2, 7, 6, -1 5, 5, 5, 4, 4, 3, 6, 4, 6, 3, 4, 2, 6, 5, 6, 7, 4, 5, 7, 5, 3, 6, 4, 5, 6, 3, 4, 3, 3, 3, 2, 5, 3, 3, 3, 6, 4, 5, 4, 4, 4, 4, 7, 4, 5, 3, 3, 4, 6, 5, 8, 5, 5, 1, 4, 6, 4, 5, 0, 3, 6, 5, 2, 6, 7, 4, 5, 6, 6, 6, 5, 5, 3, 4, 3, 4, 3, 5, 5, 4, 2, 1, 2, 5, 5, 8, 4, 5, 4, 3, 4, 2, 4, 3, 5, 5, 4, 3, 5, 2, 3, 4, 7, 7, 5, 4, 6, 5, 3, 3, 4, 1, 5, 3, 3, 3, 3, 6, 4, 3, 2, 3, 6, 3, 5, 3, 4, 6, 5, 6, 4, 4, 5, 3, 5, 6, 4, 3, 3, 2, 2, 2, 6, 4, 3, 8, 2, 4, 3, 9, 4, 5, 4, 5, 4, 3, 6, 6, 5, 3, 4, 4, 6, 6, 4, 3, 4, 5, 4, 2, 5, 3, 6, 4, 4, 3, 2, 6, 4, 5, 6, 4, 5, 4, 2, 2, 5, 9, 6, 5, 6, 4, 2, 5, 5, 4, 4, 5, 6, 5, 4, 7, 6, 3, 7, 7, 4, 4, 5, 5, 3, 4, 5, 3, 5, 3, 4, 3, 5, 4, 6, 5, 3, 0, 4, 3, 5, 5, 8, 3, 5, 6, 6, 2, 1, 4, 5, 7, 4, 4, 6, 3, 3, 7, 3, 1, 5, 5, 7, 5, 5, 4, 4, 1, 5, 6, 3, 4, 5, 5, 6, 5, 7, 7, 4, 1, 6, 4, 2, 4, 5, 4, 6, 2, 6, 3, 7, 3, 8, 5, 4, 5, 5, 5, 4, 5, 4, 1, 4, 6, 6, 5, 2, 4, 4, 4, 3, 3, 8, 5, 4, 7, 2, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 3, 3, 6, 4, 4, 7, 5, 5, 5, 5, 4, 2, 2, 3, 4, 2, 3, 1, 2, 5, 5, 5, 6, 5, 6, 4, 1, 2, 6, 4, 3, 3, 2, 4, 6, 6, 4, 3, 5, 5, 2, 4, 6, 4, 4, 5, 5, 5, 6, 1, 4, 3, 4, 2, 4, 3, 2, 4, 4, 5, 3, 6, 5, 5, 6, 4, 4, 3, 4, 2, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 4, 7, 4, 5, 3, 4, 3, 3, 4, 8, 5, 5, 3, 5, 6, 5, 4, 5, 6, 4, 6, 4, 2, 6, 3, 5, 6, 3, 4, 4, 5, 5, 7, 2, 6, 4, 5, 3, 4, 5, 5, 6, 3, 5, 6, 4, 5, 4, 5, 9, 5, 3, 5, 4, 6, 5, 5, 3, 4, 6, 6, 5, 4, 3, 2, 6, 3, 4, 2, 6, 5, 7, 7, 3, 0, 5, 2, 5, 5, 4, 5, 3, 3, 4, 5, 3, 6, 5, 2, 5, 3, 3, 7, 5, 3, 6, 6, 5, 5, 5, 4, 1, 4, 3, 5, 5, -1 3, 2, 4, 4, 3, 4, 3, 4, 5, 4, 6, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 6, 2, 4, 2, 5, 5, 3, 4, 3, 4, 3, 2, 4, 3, 3, 5, 6, 6, 3, 6, 4, 2, 6, 4, 6, 4, 7, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 0, 6, 4, 3, 3, 3, 7, 7, 4, 6, 5, 2, 5, 6, 5, 4, 6, 4, 5, 4, 3, 3, 2, 3, 2, 6, 5, 8, 7, 4, 5, 5, 3, 2, 1, 7, 5, 4, 4, 4, 6, 3, 5, 1, 7, 5, 6, 5, 6, 1, 4, 7, 5, 6, 4, 4, 3, 3, 2, 3, 6, 6, 7, 7, 7, 5, 5, 7, 6, 5, 3, 5, 6, 5, 4, 4, 6, 4, 3, 5, 4, 6, 4, 5, 6, 6, 3, 8, 3, 4, 5, 4, 1, 3, 3, 4, 5, 5, 4, 5, 4, 6, 4, 5, 4, 6, 4, 4, 3, 6, 4, 5, 6, 5, 6, 4, 5, 6, 3, 6, 3, 3, 4, 1, 7, 5, 7, 5, 5, 4, 3, 4, 3, 5, 4, 3, 5, 4, 6, 5, 7, 4, 8, 7, 5, 6, 7, 4, 7, 5, 3, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 4, 5, 5, 6, 3, 3, 6, 6, 6, 4, 4, 4, 1, 6, 4, 6, 3, 4, 5, 2, 6, 5, 7, 3, 4, 3, 4, 6, 5, 5, 6, 4, 5, 2, 3, 5, 4, 3, 6, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 2, 4, 2, 5, 4, 4, 4, 6, 3, 4, 1, 4, 3, 5, 4, 4, 6, 3, 3, 6, 4, 5, 3, 3, 5, 6, 1, 6, 2, 7, 6, 4, 1, 5, 5, 2, 3, 5, 6, 6, 2, 1, 4, 3, 2, 4, 6, 6, 7, 2, 4, 4, 4, 4, 5, 5, 4, 6, 6, 4, 3, 4, 4, 5, 5, 3, 6, 6, 5, 7, 3, 3, 3, 6, 5, 5, 6, 5, 5, 2, 5, 4, 3, 4, 6, 5, 5, 4, 5, 6, 4, 6, 6, 4, 5, 2, 5, 2, 4, 5, 6, 5, 4, 3, 4, 6, 3, 7, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 6, 3, 3, 8, 4, 4, 5, 2, 4, 4, 4, 5, 1, 5, 3, 4, 6, 6, 5, 6, 2, 3, 4, 3, 4, 4, 5, 4, 3, 1, 4, 3, 4, 7, 4, 5, 4, 6, 6, 3, 7, 3, 2, 1, 1, 3, 6, 4, 5, 2, 5, 5, 7, 6, 2, 3, 4, 4, 3, 4, 4, 5, 5, 6, 4, 1, 4, 5, 5, 6, 4, 4, 4, 4, 3, 3, 3, 2, 7, 4, 3, 4, 7, 6, 5, 2, 5, 7, 3, 4, 6, 4, 3, 5, 6, 3, 4, 3, 3, 2, 3, 3, 6, 6, 5, 6, 5, 6, 4, 5, -1 5, 4, 7, 4, 5, 6, 5, 6, 3, 3, 3, 2, 4, 7, 6, 5, 5, 2, 6, 5, 5, 6, 5, 5, 3, 1, 4, 6, 2, 3, 7, 5, 5, 6, 4, 2, 2, 6, 2, 4, 3, 4, 5, 4, 3, 3, 5, 5, 2, 3, 5, 4, 3, 4, 7, 5, 4, 4, 3, 4, 5, 2, 3, 2, 6, 2, 6, 4, 4, 7, 5, 5, 4, 6, 3, 4, 4, 3, 6, 8, 2, 3, 4, 4, 7, 7, 4, 5, 5, 5, 4, 5, 6, 6, 6, 6, 4, 8, 3, 3, 5, 7, 3, 4, 5, 2, 6, 4, 6, 4, 2, 6, 8, 7, 5, 6, 5, 4, 6, 5, 3, 4, 5, 7, 5, 6, 4, 5, 2, 5, 3, 4, 6, 5, 7, 4, 5, 3, 7, 4, 4, 5, 6, 0, 3, 6, 3, 3, 5, 5, 5, 3, 4, 3, 6, 5, 4, 4, 3, 5, 7, 2, 4, 4, 5, 3, 7, 6, 4, 3, 5, 3, 3, 4, 3, 6, 5, 4, 4, 3, 7, 4, 6, 5, 2, 5, 4, 4, 6, 6, 5, 5, 5, 7, 4, 5, 6, 4, 3, 3, 4, 5, 1, 4, 3, 4, 4, 4, 4, 3, 5, 4, 1, 4, 6, 8, 4, 4, 7, 3, 4, 3, 5, 3, 3, 8, 5, 3, 3, 5, 6, 5, 4, 4, 3, 3, 3, 3, 6, 4, 3, 2, 8, 4, 5, 5, 5, 4, 4, 1, 4, 4, 4, 6, 4, 4, 3, 3, 5, 8, 5, 6, 4, 6, 5, 3, 4, 5, 4, 3, 4, 5, 3, 3, 5, 4, 4, 2, 4, 6, 3, 3, 6, 5, 5, 5, 8, 5, 5, 4, 6, 4, 4, 5, 3, 3, 5, 4, 5, 2, 5, 4, 6, 4, 6, 6, 7, 2, 3, 4, 4, 6, 3, 7, 4, 6, 6, 6, 3, 6, 1, 6, 4, 6, 3, 3, 6, 2, 6, 4, 2, 3, 2, 6, 5, 6, 5, 3, 8, 8, 5, 5, 4, 7, 5, 3, 5, 8, 5, 4, 5, 3, 6, 3, 4, 4, 4, 6, 5, 6, 5, 3, 6, 3, 7, 1, 3, 3, 5, 2, 4, 5, 6, 5, 4, 3, 3, 5, 2, 5, 2, 4, 4, 5, 3, 3, 3, 3, 5, 3, 5, 5, 4, 6, 3, 2, 5, 4, 5, 5, 4, 4, 5, 7, 7, 3, 5, 6, 5, 5, 5, 5, 4, 5, 3, 5, 5, 2, 4, 1, 6, 7, 3, 4, 4, 6, 4, 4, 7, 5, 6, 4, 5, 3, 3, 4, 6, 7, 4, 4, 6, 3, 7, 6, 7, 5, 3, 2, 7, 2, 4, 2, 4, 5, 5, 5, 3, 5, 2, 4, 2, 4, 4, 3, 6, 3, 5, 4, 8, 2, 4, 7, 7, 4, 5, 2, 4, 6, 2, 5, 5, 3, 6, 4, 3, 5, 4, 7, 3, 4, 2, 6, 7, 4, 5, 6, 4, 5, 4, 5, 1 8, 2, 4, 3, 5, 5, 1, 4, 3, 3, 3, 4, 5, 8, 3, 6, 5, 5, 3, 5, 6, 6, 6, 5, 4, 5, 3, 5, 7, 5, 4, 5, 2, 1, 5, 6, 3, 5, 4, 4, 5, 5, 5, 5, 4, 7, 5, 4, 1, 5, 6, 5, 5, 5, 5, 3, 5, 4, 5, 3, 6, 5, 5, 3, 4, 4, 6, 5, 4, 6, 4, 6, 3, 3, 4, 3, 3, 2, 6, 7, 6, 2, 3, 6, 4, 6, 7, 4, 4, 3, 4, 7, 6, 5, 5, 3, 5, 6, 3, 4, 6, 5, 2, 4, 3, 5, 4, 6, 2, 4, 5, 4, 4, 3, 5, 5, 4, 4, 2, 5, 4, 3, 7, 7, 4, 7, 4, 4, 5, 5, 2, 5, 7, 4, 6, 7, 6, 3, 5, 2, 8, 4, 5, 4, 5, 7, 3, 4, 8, 4, 0, 6, 5, 5, 5, 4, 6, 4, 6, 3, 5, 4, 5, 4, 6, 4, 5, 6, 6, 5, 5, 5, 7, 2, 5, 5, 6, 6, 5, 6, 5, 8, 4, 4, 4, 4, 4, 5, 5, 5, 6, 2, 4, 4, 6, 2, 2, 4, 6, 4, 2, 6, 2, 7, 1, 3, 5, 4, 5, 3, 3, 4, 5, 4, 7, 8, 3, 5, 4, 8, 6, 6, 3, 5, 4, 6, 6, 5, 4, 6, 4, 3, 3, 5, 2, 3, 5, 4, 5, 5, 5, 5, 4, 3, 4, 1, 4, 5, 6, 4, 2, 7, 4, 5, 3, 4, 5, 3, 5, 4, 4, 5, 4, 2, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 3, 4, 2, 4, 5, 4, 5, 4, 2, 7, 5, 4, 0, 4, 3, 4, 5, 3, 4, 4, 6, 4, 5, 5, 5, 4, 7, 4, 5, 5, 8, 4, 6, 5, 4, 6, 4, 4, 3, 4, 5, 5, 4, 7, 5, 4, 2, 3, 4, 4, 7, 5, 4, 6, 7, 4, 4, 4, 6, 4, 2, 3, 3, 3, 5, 4, 2, 3, 4, 6, 7, 5, 4, 4, 4, 1, 5, 2, 4, 1, 4, 2, 4, 7, 4, 4, 4, 5, 6, 4, 3, 5, 5, 5, 6, 4, 5, 4, 6, 6, 4, 4, 5, 1, 5, 4, 6, 4, 4, 3, 7, 4, 3, 3, 4, 1, 5, 6, 6, 4, 9, 2, 4, 6, 3, 3, 4, 4, 3, 3, 4, 6, 8, 4, 7, 6, 5, 5, 2, 3, 2, 6, 2, 5, 7, 3, 4, 5, 4, 4, 5, 6, 5, 4, 2, 7, 3, 6, 5, 5, 4, 4, 6, 4, 5, 7, 5, 4, 5, 5, 6, 3, 5, 3, 8, 7, 7, 4, 5, 5, 3, 3, 4, 5, 4, 5, 5, 6, 7, 5, 3, 8, 3, 3, 3, 5, 7, 4, 4, 3, 4, 6, 5, 6, 1, 4, 3, 4, 3, 5, 4, 6, 4, 2, 6, 5, 1, 6, 4, 3, 6, 6, 4, 6, 4, -1 0, 2, 5, 3, 5, 3, 5, 4, 4, 5, 3, 2, 4, 3, 7, 7, 4, 4, 4, 6, 4, 5, 6, 5, 5, 5, 2, 5, 5, 5, 2, 4, 4, 3, 4, 4, 2, 5, 6, 7, 7, 6, 2, 3, 4, 5, 3, 5, 5, 5, 6, 7, 4, 3, 5, 5, 4, 5, 4, 5, 4, 6, 5, 2, 3, 2, 4, 4, 6, 1, 6, 5, 6, 7, 3, 5, 1, 1, 4, 2, 5, 5, 5, 4, 5, 6, 4, 3, 5, 0, 7, 5, 5, 6, 5, 5, 2, 5, 3, 5, 4, 5, 4, 6, 5, 6, 5, 5, 6, 4, 3, 4, 6, 5, 4, 5, 3, 3, 3, 5, 4, 5, 5, 5, 6, 1, 5, 8, 7, 5, 5, 1, 6, 5, 4, 6, 3, 7, 3, 4, 5, 5, 5, 3, 4, 4, 6, 4, 6, 7, 6, 4, 4, 3, 5, 4, 3, 5, 5, 4, 7, 2, 6, 4, 4, 3, 4, 2, 7, 3, 5, 6, 4, 7, 5, 4, 6, 7, 3, 3, 4, 3, 7, 4, 7, 5, 3, 5, 4, 4, 4, 4, 2, 8, 4, 6, 6, 5, 5, 3, 4, 6, 5, 6, 4, 5, 4, 6, 5, 5, 3, 7, 4, 4, 5, 5, 5, 5, 2, 4, 4, 3, 8, 4, 5, 4, 5, 5, 4, 6, 6, 3, 6, 5, 6, 5, 4, 4, 2, 3, 5, 3, 5, 6, 7, 5, 4, 4, 1, 5, 7, 6, 3, 5, 3, 4, 4, 3, 5, 4, 5, 6, 5, 5, 4, 5, 7, 4, 4, 4, 6, 6, 5, 3, 4, 4, 7, 6, 3, 4, 2, 3, 4, 4, 6, 6, 6, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 4, 4, 7, 5, 3, 3, 3, 4, 3, 3, 7, 6, 5, 2, 7, 6, 3, 2, 4, 5, 4, 7, 6, 4, 3, 6, 3, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 2, 5, 5, 2, 3, 3, 6, 4, 5, 4, 5, 3, 4, 4, 7, 3, 6, 4, 2, 1, 4, 3, 4, 6, 5, 5, 5, 6, 4, 3, 6, 4, 4, 4, 3, 3, 4, 3, 6, 4, 3, 5, 5, 3, 4, 4, 3, 4, 3, 6, 2, 5, 5, 6, 4, 6, 3, 5, 4, 4, 5, 5, 5, 7, 5, 6, 5, 5, 3, 4, 4, 3, 4, 5, 4, 4, 2, 5, 4, 1, 6, 3, 5, 5, 2, 5, 5, 4, 5, 5, 5, 4, 6, 4, 4, 0, 3, 3, 5, 4, 5, 4, 4, 5, 6, 5, 7, 4, 4, 3, 5, 2, 7, 4, 4, 5, 5, 7, 2, 0, 3, 3, 5, 6, 5, 5, 3, 3, 6, 4, 5, 4, 5, 5, 4, 0, 8, 7, 4, 3, 7, 4, 0, 0, 5, 4, 3, 6, 4, 4, 4, 3, 4, 4, 5, 4, 5, 7, 2, 2, 5, 4, 5, 4, -1 3, 4, 3, 4, 4, 2, 6, 6, 6, 6, 6, 6, 6, 7, 4, 9, 5, 3, 4, 4, 7, 4, 5, 5, 2, 5, 3, 5, 2, 4, 6, 6, 2, 5, 5, 1, 4, 6, 3, 5, 5, 3, 5, 5, 8, 7, 5, 6, 5, 5, 3, 3, 3, 4, 3, 7, 5, 6, 6, 3, 6, 6, 6, 4, 6, 4, 5, 7, 4, 4, 7, 6, 4, 4, 4, 4, 4, 4, 5, 6, 3, 5, 1, 5, 2, 2, 6, 4, 4, 4, 4, 4, 6, 4, 4, 4, 0, 5, 3, 4, 3, 6, 7, 6, 5, 4, 7, 3, 3, 5, 4, 3, 6, 6, 5, 5, 4, 6, 3, 4, 3, 6, 6, 4, 5, 7, 4, 6, 4, 6, 5, 3, 5, 6, 6, 5, 4, 2, 5, 4, 5, 6, 6, 3, 4, 8, 4, 3, 5, 6, 4, 5, 5, 7, 6, 4, 7, 6, 2, 3, 5, 6, 5, 4, 2, 5, 5, 4, 4, 2, 6, 5, 8, 6, 8, 5, 7, 3, 5, 4, 4, 5, 5, 4, 5, 3, 7, 4, 5, 5, 8, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 8, 5, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 7, 4, 1, 5, 5, 6, 4, 6, 3, 4, 5, 5, 6, 5, 6, 6, 5, 4, 3, 4, 3, 4, 6, 2, 7, 5, 3, 3, 2, 4, 6, 5, 4, 7, 3, 3, 5, 6, 4, 4, 5, 5, 4, 6, 7, 6, 7, 5, 6, 5, 5, 3, 4, 5, 3, 4, 5, 5, 8, 5, 3, 5, 7, 4, 6, 5, 5, 7, 4, 5, 5, 4, 6, 5, 5, 3, 4, 3, 4, 5, 3, 7, 6, 5, 5, 4, 5, 6, 3, 5, 6, 3, 4, 5, 5, 6, 5, 5, 4, 6, 5, 2, 4, 5, 2, 6, 4, 4, 5, 6, 4, 7, 2, 8, 5, 2, 5, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 3, 5, 3, 5, 2, 6, 5, 5, 4, 3, 6, 5, 5, 4, 6, 7, 4, 5, 6, 4, 4, 7, 3, 3, 4, 4, 4, 4, 4, 6, 5, 2, 6, 5, 5, 5, 5, 4, 4, 7, 4, 6, 3, 4, 4, 3, 4, 6, 7, 4, 5, 4, 4, 6, 4, 7, 1, 4, 4, 1, 3, 5, 5, 7, 3, 4, 4, 6, 6, 2, 4, 4, 6, 5, 5, 4, 3, 7, 7, 4, 5, 6, 4, 3, 4, 2, 5, 7, 3, 3, 4, 5, 7, 5, 6, 4, 4, 4, 3, 5, 3, 7, 3, 3, 4, 5, 4, 5, 5, 6, 2, 5, 8, 3, 4, 7, 4, 5, 3, 3, 6, 7, 3, 5, 2, 6, 3, 4, 4, 3, 3, 6, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 6, 7, 4, 3, 3, 4, 6, 7, 2, 4, 3, 5, 5, 4, -1 6, 6, 3, 3, 4, 4, 2, 4, 4, 3, 4, 5, 4, 3, 3, 6, 3, 5, 3, 6, 3, 3, 4, 6, 6, 5, 3, 6, 2, 5, 2, 4, 3, 3, 5, 6, 3, 3, 5, 3, 4, 5, 5, 6, 5, 5, 3, 6, 6, 5, 7, 2, 3, 4, 5, 6, 3, 3, 5, 0, 3, 3, 3, 3, 3, 6, 3, 7, 7, 5, 3, 4, 4, 3, 6, 6, 3, 4, 2, 4, 6, 4, 5, 3, 2, 1, 4, 6, 6, 7, 2, 4, 4, 4, 6, 5, 5, 4, 3, 4, 6, 6, 3, 5, 7, 5, 5, 6, 5, 7, 5, 4, 7, 6, 6, 3, 6, 3, 5, 1, 3, 5, 3, 1, 8, 6, 6, 3, 6, 6, 5, 3, 4, 4, 6, 1, 5, 6, 6, 5, 4, 5, 4, 5, 7, 5, 3, 5, 5, 4, 5, 3, 5, 3, 3, 4, 6, 6, 6, 4, 7, 2, 6, 4, 6, 1, 4, 5, 2, 6, 3, 6, 3, 3, 4, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 6, 5, 5, 7, 3, 4, 7, 4, 4, 6, 2, 4, 3, 4, 5, 2, 4, 4, 5, 3, 4, 5, 4, 0, 0, 2, 5, 3, 4, 1, 5, 6, 4, 5, 4, 5, 7, 4, 5, 4, 4, 5, 4, 3, 4, 5, 8, 7, 5, 4, 5, 6, 5, 4, 5, 4, 3, 4, 7, 5, 3, 4, 3, 4, 4, 5, 2, 5, 6, 5, 2, 7, 5, 6, 5, 5, 3, 5, 2, 4, 5, 5, 4, 5, 5, 2, 2, 6, 4, 4, 3, 8, 2, 4, 6, 6, 5, 5, 5, 7, 4, 5, 3, 5, 5, 4, 4, 3, 4, 3, 3, 2, 2, 7, 6, 1, 3, 3, 6, 6, 4, 2, 4, 5, 5, 4, 5, 2, 7, 4, 6, 3, 4, 9, 1, 4, 5, 4, 3, 7, 5, 4, 5, 4, 4, 3, 5, 5, 5, 6, 4, 7, 6, 3, 5, 6, 4, 4, 3, 6, 5, 4, 3, 6, 3, 4, 5, 6, 4, 4, 5, 5, 3, 4, 5, 7, 3, 7, 2, 3, 5, 5, 2, 4, 4, 6, 4, 6, 4, 1, 4, 5, 5, 2, 3, 4, 3, 4, 4, 5, 3, 6, 9, 6, 5, 4, 5, 5, 3, 6, 4, 5, 5, 5, 2, 4, 3, 2, 7, 6, 3, 5, 3, 5, 3, 5, 5, 5, 3, 4, 3, 4, 2, 6, 4, 5, 5, 8, 6, 5, 2, 4, 3, 6, 4, 8, 6, 4, 5, 4, 7, 7, 5, 4, 4, 3, 5, 3, 5, 5, 2, 4, 6, 4, 3, 3, 4, 2, 2, 7, 6, 3, 4, 4, 3, 6, 5, 3, 8, 8, 6, 7, 3, 2, 5, 3, 5, 7, 4, 4, 4, 6, 4, 5, 3, 7, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 3, 2, -1 4, 4, 6, 3, 2, 3, 4, 3, 5, 3, 4, 3, 6, 5, 3, 4, 4, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 3, 4, 3, 5, 2, 5, 3, 5, 2, 3, 6, 3, 3, 3, 4, 5, 5, 2, 6, 3, 4, 6, 4, 5, 3, 5, 2, 8, 5, 6, 6, 4, 2, 6, 5, 5, 3, 7, 5, 2, 6, 7, 0, 4, 6, 7, 5, 4, 7, 5, 4, 7, 5, 2, 2, 3, 6, 4, 4, 5, 3, 3, 2, 4, 5, 4, 6, 3, 6, 4, 4, 6, 4, 5, 5, 3, 5, 3, 4, 7, 6, 4, 5, 3, 3, 7, 6, 5, 5, 4, 4, 5, 4, 3, 4, 3, 2, 5, 6, 4, 6, 4, 4, 4, 4, 6, 5, 5, 5, 5, 3, 5, 5, 5, 7, 5, 4, 4, 6, 4, 7, 2, 4, 5, 5, 5, 6, 5, 4, 6, 4, 4, 5, 6, 1, 4, 4, 2, 2, 5, 4, 6, 6, 5, 7, 6, 8, 5, 4, 6, 4, 8, 2, 6, 5, 5, 4, 4, 2, 5, 5, 4, 5, 5, 6, 5, 3, 5, 3, 3, 3, 3, 4, 6, 4, 7, 5, 2, 5, 3, 4, 4, 2, 4, 4, 3, 5, 5, 3, 4, 3, 3, 5, 6, 6, 6, 6, 2, 8, 5, 5, 4, 7, 5, 5, 5, 5, 3, 4, 5, 2, 5, 5, 3, 3, 5, 5, 7, 6, 6, 4, 3, 7, 4, 5, 2, 5, 6, 4, 6, 5, 4, 5, 4, 4, 7, 3, 5, 4, 6, 3, 6, 4, 6, 4, 6, 5, 4, 4, 7, 6, 5, 6, 4, 6, 5, 5, 5, 3, 3, 2, 3, 3, 4, 1, 4, 2, 5, 3, 4, 6, 3, 5, 5, 4, 7, 4, 4, 5, 4, 4, 3, 6, 5, 2, 3, 4, 4, 8, 7, 4, 4, 7, 3, 4, 4, 6, 5, 3, 3, 4, 4, 5, 5, 3, 4, 3, 4, 6, 6, 4, 4, 6, 5, 4, 4, 3, 2, 4, 4, 4, 6, 4, 5, 6, 5, 4, 6, 5, 5, 3, 4, 6, 5, 6, 8, 6, 5, 5, 8, 4, 7, 5, 3, 3, 4, 2, 3, 5, 6, 4, 5, 4, 6, 4, 3, 4, 6, 4, 2, 4, 6, 6, 2, 3, 2, 6, 4, 5, 3, 2, 6, 5, 4, 5, 7, 6, 1, 6, 4, 7, 4, 4, 6, 6, 5, 3, 2, 3, 3, 7, 4, 4, 6, 5, 5, 4, 1, 4, 4, 3, 4, 4, 5, 2, 5, 6, 6, 4, 3, 4, 2, 4, 6, 5, 5, 6, 4, 4, 3, 4, 2, 6, 8, 3, 4, 6, 5, 6, 5, 6, 6, 6, 2, 4, 3, 9, 6, 6, 3, 4, 7, 4, 4, 3, 4, 2, 3, 3, 4, 7, 5, 6, 2, 4, 5, 3, 3, 5, 4, 5, 1, 5, 3, 6, 4, 5, 5, 5, 3, 4, 6, 4, 1 6, 7, 5, 3, 4, 3, 4, 7, 6, 7, 7, 5, 5, 4, 5, 4, 4, 5, 2, 5, 4, 4, 7, 6, 5, 5, 3, 3, 2, 5, 5, 6, 4, 4, 8, 5, 3, 5, 5, 7, 4, 2, 3, 4, 5, 4, 5, 3, 2, 4, 4, 3, 3, 6, 3, 5, 4, 2, 4, 5, 5, 4, 2, 4, 6, 4, 3, 6, 4, 4, 7, 3, 3, 7, 3, 4, 3, 3, 6, 3, 3, 3, 2, 6, 4, 4, 6, 3, 4, 5, 4, 4, 6, 6, 4, 9, 6, 2, 5, 2, 6, 5, 4, 4, 2, 2, 9, 9, 4, 6, 5, 6, 5, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 6, 6, 1, 3, 6, 2, 6, 5, 3, 5, 4, 6, 7, 5, 7, 4, 3, 4, 5, 4, 5, 4, 6, 4, 4, 4, 8, 5, 4, 8, 3, 5, 3, 4, 3, 4, 2, 3, 7, 4, 6, 4, 4, 5, 4, 2, 3, 5, 3, 6, 3, 4, 4, 6, 6, 4, 5, 5, 3, 2, 4, 4, 4, 7, 5, 5, 6, 6, 4, 5, 3, 5, 6, 4, 4, 3, 3, 7, 4, 5, 7, 5, 4, 2, 4, 7, 2, 4, 4, 4, 5, 2, 3, 4, 1, 8, 6, 4, 7, 2, 6, 1, 6, 5, 5, 4, 5, 5, 2, 5, 7, 6, 4, 5, 4, 3, 2, 5, 3, 3, 2, 5, 5, 9, 2, 4, 3, 3, 4, 5, 3, 4, 3, 5, 4, 6, 3, 5, 5, 6, 6, 4, 2, 7, 4, 5, 4, 6, 5, 5, 3, 7, 5, 7, 4, 4, 4, 3, 3, 5, 4, 5, 5, 3, 5, 3, 4, 5, 3, 3, 3, 5, 4, 6, 3, 3, 6, 4, 4, 5, 6, 6, 5, 5, 2, 5, 6, 3, 6, 5, 7, 5, 3, 4, 5, 3, 6, 6, 6, 3, 1, 8, 3, 4, 3, 4, 3, 6, 4, 4, 3, 5, 5, 6, 7, 7, 5, 2, 8, 3, 3, 4, 2, 6, 4, 4, 2, 5, 3, 7, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 6, 5, 6, 3, 3, 8, 4, 7, 2, 5, 6, 5, 3, 3, 3, 3, 4, 0, 5, 6, 4, 7, 4, 6, 3, 8, 5, 2, 2, 5, 5, 5, 4, 4, 3, 1, 3, 5, 3, 6, 4, 5, 5, 6, 5, 3, 4, 5, 5, 7, 5, 6, 4, 4, 5, 3, 2, 6, 5, 7, 2, 4, 4, 6, 0, 4, 3, 5, 5, 3, 3, 4, 4, 2, 5, 2, 7, 4, 6, 7, 3, 3, 6, 5, 5, 4, 6, 7, 3, 5, 4, 3, 7, 4, 3, 3, 4, 4, 1, 6, 4, 6, 5, 5, 5, 4, 4, 2, 5, 6, 6, 4, 3, 5, 6, 7, 5, 4, 7, 5, 6, 5, 5, 4, 3, 5, 5, 5, 5, 6, 3, 4, 4, 5, 6, 4, 2, 1 4, 3, 3, 5, 3, 6, 7, 4, 6, 4, 7, 4, 5, 3, 4, 4, 3, 4, 8, 3, 9, 7, 8, 6, 9, 4, 5, 4, 3, 5, 4, 6, 3, 5, 8, 5, 4, 2, 1, 2, 4, 6, 3, 4, 3, 5, 5, 7, 3, 5, 5, 7, 4, 4, 5, 4, 4, 3, 3, 2, 6, 6, 4, 2, 7, 2, 3, 5, 4, 3, 7, 5, 3, 4, 5, 5, 3, 3, 4, 5, 3, 3, 5, 6, 4, 5, 4, 3, 4, 5, 4, 5, 6, 7, 7, 3, 4, 8, 5, 5, 5, 3, 3, 5, 4, 2, 6, 6, 7, 7, 4, 4, 4, 4, 7, 2, 5, 3, 3, 3, 3, 7, 4, 4, 3, 4, 7, 7, 2, 1, 2, 3, 7, 6, 4, 5, 3, 3, 4, 5, 3, 3, 7, 2, 5, 3, 5, 6, 5, 5, 4, 4, 4, 6, 3, 3, 7, 5, 4, 4, 6, 4, 6, 4, 5, 6, 6, 3, 6, 3, 4, 3, 7, 4, 3, 8, 6, 4, 3, 5, 4, 3, 3, 3, 5, 6, 3, 6, 5, 4, 6, 3, 2, 4, 5, 6, 4, 3, 7, 6, 5, 6, 5, 4, 5, 3, 2, 6, 3, 4, 1, 6, 5, 5, 5, 3, 3, 0, 5, 5, 5, 8, 3, 4, 4, 5, 6, 7, 6, 5, 3, 3, 5, 3, 5, 6, 4, 0, 4, 7, 8, 3, 4, 5, 4, 1, 3, 4, 4, 8, 4, 6, 3, 6, 4, 3, 6, 4, 5, 4, 6, 4, 4, 4, 6, 3, 6, 7, 4, 3, 9, 4, 6, 2, 5, 6, 4, 4, 5, 1, 5, 6, 5, 4, 6, 4, 5, 5, 1, 2, 6, 4, 4, 3, 3, 4, 5, 2, 2, 3, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 4, 3, 3, 4, 1, 2, 4, 5, 3, 5, 5, 4, 5, 5, 3, 2, 5, 5, 7, 5, 6, 5, 4, 4, 2, 6, 7, 4, 5, 5, 5, 4, 5, 4, 6, 5, 5, 7, 5, 4, 3, 4, 4, 7, 8, 3, 3, 5, 6, 8, 2, 6, 3, 3, 5, 5, 3, 3, 3, 4, 5, 4, 3, 5, 3, 3, 3, 4, 2, 3, 5, 4, 5, 5, 4, 3, 7, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 2, 7, 3, 5, 6, 5, 4, 7, 6, 6, 6, 7, 3, 5, 6, 2, 3, 4, 6, 3, 3, 4, 8, 4, 4, 3, 5, 3, 4, 6, 4, 6, 4, 4, 7, 4, 6, 2, 3, 5, 5, 7, 5, 6, 5, 3, 4, 5, 6, 6, 7, 6, 3, 4, 6, 3, 6, 1, 5, 3, 3, 7, 6, 4, 4, 6, 3, 4, 4, 6, 4, 6, 2, 5, 5, 3, 2, 6, 4, 4, 4, 4, 4, 5, 2, 4, 2, 4, 6, 3, 5, 8, 2, 4, 5, 5, 4, 5, 3, 5, 1, -1 4, 3, 5, 3, 5, 3, 8, 4, 5, 7, 5, 2, 5, 4, 4, 6, 0, 4, 7, 4, 4, 5, 5, 7, 5, 4, 1, 4, 6, 6, 5, 7, 4, 5, 4, 6, 4, 5, 6, 3, 4, 6, 3, 4, 4, 7, 3, 3, 2, 5, 5, 5, 4, 3, 7, 6, 4, 3, 2, 4, 6, 3, 2, 7, 8, 5, 5, 3, 7, 3, 3, 6, 3, 6, 5, 4, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 2, 6, 7, 6, 6, 8, 2, 4, 3, 3, 4, 5, 4, 6, 2, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 8, 3, 5, 4, 3, 5, 5, 3, 3, 3, 6, 4, 6, 4, 4, 4, 2, 8, 4, 3, 3, 4, 5, 4, 2, 4, 6, 5, 1, 4, 4, 7, 6, 7, 5, 5, 4, 5, 3, 4, 3, 7, 3, 5, 3, 4, 3, 5, 4, 5, 3, 4, 2, 4, 5, 6, 6, 4, 5, 6, 5, 6, 5, 5, 3, 4, 4, 6, 3, 4, 8, 5, 6, 3, 4, 4, 5, 3, 3, 3, 4, 4, 4, 2, 6, 5, 3, 4, 2, 2, 2, 3, 5, 5, 5, 1, 5, 3, 3, 6, 4, 9, 7, 4, 4, 7, 5, 4, 6, 5, 4, 3, 3, 6, 2, 4, 5, 5, 4, 6, 2, 3, 4, 3, 5, 4, 5, 3, 1, 3, 4, 6, 5, 4, 5, 4, 4, 4, 2, 3, 5, 4, 4, 5, 5, 7, 3, 4, 3, 4, 2, 5, 5, 4, 7, 4, 3, 5, 3, 8, 5, 7, 3, 2, 5, 3, 7, 5, 6, 3, 3, 5, 5, 3, 6, 6, 4, 7, 7, 4, 4, 4, 6, 8, 5, 6, 1, 9, 1, 9, 5, 7, 5, 3, 4, 4, 1, 5, 3, 4, 2, 2, 3, 4, 2, 4, 5, 4, 4, 8, 3, 5, 4, 5, 4, 4, 3, 2, 4, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 4, 7, 4, 2, 5, 5, 4, 7, 5, 3, 5, 6, 6, 3, 4, 4, 4, 4, 6, 5, 3, 2, 4, 4, 4, 6, 6, 2, 3, 1, 5, 2, 3, 4, 6, 3, 6, 2, 5, 6, 6, 5, 5, 7, 3, 6, 6, 5, 4, 5, 5, 5, 6, 3, 3, 5, 6, 4, 3, 1, 5, 6, 2, 6, 3, 2, 7, 5, 4, 2, 4, 6, 4, 8, 6, 5, 6, 3, 4, 4, 6, 4, 5, 5, 3, 4, 5, 6, 6, 4, 3, 3, 5, 5, 6, 2, 5, 1, 7, 2, 3, 6, 2, 4, 5, 5, 8, 5, 4, 5, 6, 8, 5, 4, 4, 3, 2, 4, 1, 3, 4, 4, 6, 3, 3, 3, 3, 7, 4, 4, 4, 1, 5, 5, 4, 6, 5, 5, 5, 3, 4, 4, 4, -1 5, 5, 6, 5, 5, 3, 2, 3, 3, 4, 2, 6, 4, 4, 4, 2, 5, 5, 3, 2, 6, 5, 2, 4, 4, 3, 5, 5, 3, 3, 6, 3, 5, 4, 6, 5, 4, 7, 3, 3, 3, 5, 4, 7, 4, 4, 7, 7, 6, 4, 3, 4, 6, 1, 3, 4, 5, 3, 4, 6, 5, 4, 3, 2, 8, 4, 7, 2, 3, 3, 2, 5, 3, 6, 4, 4, 2, 3, 4, 3, 6, 4, 4, 5, 8, 4, 5, 4, 4, 3, 4, 5, 6, 2, 5, 5, 0, 3, 3, 2, 2, 4, 4, 6, 4, 3, 6, 6, 5, 8, 4, 4, 5, 3, 2, 5, 3, 3, 4, 3, 3, 5, 5, 6, 7, 1, 6, 7, 3, 5, 5, 5, 4, 3, 2, 6, 4, 3, 5, 4, 5, 5, 3, 5, 5, 5, 3, 2, 4, 7, 4, 6, 3, 5, 5, 2, 6, 4, 6, 6, 9, 3, 4, 6, 5, 5, 5, 7, 4, 2, 4, 3, 7, 4, 4, 4, 4, 7, 4, 2, 5, 6, 5, 6, 4, 3, 6, 4, 5, 4, 6, 2, 3, 5, 5, 5, 2, 4, 2, 5, 7, 4, 3, 3, 5, 3, 6, 4, 5, 3, 4, 2, 6, 7, 4, 3, 4, 8, 5, 5, 6, 4, 5, 4, 5, 4, 5, 5, 4, 6, 5, 5, 6, 6, 5, 3, 5, 4, 6, 4, 4, 3, 5, 4, 4, 8, 5, 0, 5, 2, 8, 7, 4, 6, 3, 3, 4, 6, 3, 7, 3, 4, 4, 7, 4, 5, 6, 4, 4, 3, 3, 5, 5, 4, 2, 3, 7, 3, 5, 5, 5, 5, 6, 5, 6, 2, 4, 6, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 2, 8, 1, 4, 4, 5, 4, 5, 6, 6, 5, 2, 5, 5, 3, 5, 3, 6, 3, 4, 4, 6, 4, 3, 4, 5, 5, 4, 4, 5, 6, 2, 7, 4, 5, 3, 3, 6, 4, 4, 3, 4, 4, 6, 4, 5, 2, 3, 4, 6, 3, 4, 4, 5, 3, 6, 3, 5, 6, 3, 5, 5, 4, 3, 4, 5, 2, 3, 5, 7, 2, 7, 5, 4, 6, 3, 3, 3, 3, 2, 1, 3, 4, 4, 5, 4, 3, 8, 4, 4, 4, 4, 6, 6, 5, 3, 3, 4, 1, 3, 5, 3, 5, 7, 7, 6, 5, 6, 5, 6, 3, 4, 4, 5, 4, 5, 4, 4, 5, 7, 4, 5, 4, 2, 5, 6, 5, 6, 6, 5, 4, 3, 8, 3, 3, 5, 4, 5, 5, 6, 2, 5, 7, 3, 5, 6, 8, 3, 4, 6, 2, 6, 6, 3, 6, 3, 4, 5, 4, 8, 5, 5, 9, 4, 6, 3, 3, 3, 5, 4, 3, 2, 2, 5, 4, 3, 5, 4, 9, 7, 5, 6, 3, 4, 3, 3, 6, 5, 5, 5, 7, 3, 6, 3, 5, 4, 1 3, 6, 4, 6, 5, 7, 3, 4, 4, 6, 3, 3, 3, 5, 5, 5, 6, 5, 5, 4, 7, 3, 3, 1, 4, 7, 2, 3, 6, 7, 7, 4, 4, 4, 4, 6, 5, 5, 2, 4, 5, 8, 3, 1, 6, 2, 3, 5, 3, 6, 4, 4, 3, 6, 5, 4, 6, 4, 5, 7, 6, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 3, 3, 5, 4, 5, 5, 6, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 3, 5, 3, 4, 5, 6, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 4, 5, 5, 4, 6, 4, 5, 6, 4, 6, 6, 4, 5, 5, 5, 5, 5, 2, 3, 2, 3, 5, 3, 6, 5, 3, 4, 0, 4, 4, 4, 3, 5, 4, 5, 4, 6, 3, 6, 6, 4, 5, 3, 7, 4, 4, 4, 8, 3, 5, 8, 8, 1, 4, 4, 4, 2, 4, 4, 6, 4, 5, 8, 8, 5, 5, 1, 4, 4, 2, 5, 4, 4, 3, 7, 4, 4, 1, 5, 4, 5, 4, 4, 2, 2, 5, 4, 4, 3, 4, 5, 3, 4, 4, 5, 2, 1, 4, 5, 4, 6, 2, 5, 3, 5, 4, 5, 3, 6, 4, 5, 3, 4, 4, 5, 3, 2, 5, 2, 6, 4, 1, 4, 4, 3, 5, 2, 5, 5, 4, 1, 4, 2, 6, 4, 4, 3, 7, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 6, 7, 2, 3, 4, 3, 4, 3, 1, 6, 7, 5, 2, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 5, 4, 1, 4, 2, 6, 3, 4, 5, 2, 4, 5, 3, 5, 5, 4, 5, 6, 5, 6, 7, 5, 7, 5, 4, 3, 6, 3, 4, 4, 7, 4, 3, 5, 6, 5, 4, 5, 4, 8, 5, 5, 4, 0, 4, 4, 5, 4, 6, 6, 5, 2, 5, 4, 4, 5, 2, 6, 2, 5, 4, 3, 8, 6, 6, 6, 4, 4, 7, 4, 5, 3, 6, 2, 5, 6, 2, 4, 3, 5, 6, 5, 4, 5, 3, 4, 5, 6, 9, 6, 4, 1, 3, 2, 3, 5, 4, 5, 2, 5, 3, 6, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 4, 5, 5, 4, 0, 3, 2, 5, 5, 6, 4, 3, 6, 5, 3, 6, 4, 5, 4, 4, 4, 7, 6, 3, 7, 5, 3, 5, 2, 4, 4, 4, 5, 4, 4, 4, 6, 6, 3, 6, 3, 3, 5, 5, 4, 5, 5, 4, 6, 6, 4, 5, 5, 4, 5, 2, 3, 4, 4, 4, 5, 3, 3, 1, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 7, 4, 3, 6, 4, 4, 3, 5, 2, 6, 5, 3, 3, 9, 4, 4, 5, 3, 6, 4, 6, 5, 5, 1 4, 5, 5, 4, 3, 4, 8, 4, 2, 3, 5, 4, 4, 4, 3, 5, 7, 4, 4, 4, 8, 4, 4, 3, 3, 3, 1, 5, 3, 5, 6, 6, 4, 3, 5, 5, 4, 3, 3, 5, 7, 2, 5, 5, 4, 8, 3, 2, 2, 5, 6, 3, 5, 2, 2, 6, 4, 5, 1, 3, 6, 6, 4, 5, 4, 3, 2, 5, 2, 5, 3, 5, 6, 3, 6, 5, 3, 3, 5, 2, 6, 5, 3, 6, 4, 6, 5, 4, 5, 7, 4, 3, 4, 4, 6, 5, 4, 6, 5, 6, 5, 3, 2, 6, 4, 4, 3, 6, 8, 2, 3, 5, 3, 6, 2, 5, 4, 3, 3, 4, 4, 4, 4, 5, 7, 4, 6, 5, 5, 6, 3, 2, 3, 4, 4, 6, 4, 6, 3, 3, 3, 5, 5, 5, 4, 2, 4, 5, 4, 4, 6, 6, 6, 6, 8, 6, 7, 6, 6, 4, 3, 3, 3, 5, 4, 3, 5, 5, 3, 5, 6, 3, 7, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 6, 3, 5, 4, 5, 4, 3, 5, 5, 3, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 5, 3, 5, 5, 6, 4, 4, 1, 6, 2, 4, 4, 6, 5, 5, 8, 7, 4, 6, 8, 3, 4, 5, 5, 5, 3, 8, 4, 6, 5, 6, 6, 5, 4, 2, 6, 6, 8, 4, 4, 4, 4, 5, 6, 4, 4, 9, 3, 7, 3, 2, 6, 6, 7, 3, 7, 7, 5, 5, 4, 3, 3, 4, 5, 5, 2, 6, 3, 4, 8, 3, 5, 4, 4, 3, 6, 4, 5, 6, 6, 3, 5, 2, 3, 5, 6, 4, 4, 4, 7, 3, 4, 3, 3, 4, 5, 6, 6, 5, 4, 4, 4, 6, 6, 5, 4, 5, 6, 7, 5, 2, 3, 5, 5, 4, 3, 7, 5, 4, 5, 4, 5, 2, 5, 6, 5, 3, 3, 6, 5, 4, 4, 4, 4, 6, 4, 6, 4, 2, 4, 3, 3, 6, 3, 4, 3, 3, 4, 4, 3, 4, 8, 4, 3, 4, 4, 6, 5, 6, 5, 4, 5, 2, 2, 8, 5, 3, 6, 4, 6, 7, 5, 5, 4, 3, 2, 5, 3, 5, 5, 5, 3, 7, 5, 5, 7, 7, 4, 4, 4, 6, 2, 4, 4, 3, 5, 5, 4, 3, 4, 5, 5, 5, 6, 5, 3, 5, 4, 3, 5, 5, 2, 5, 5, 5, 6, 6, 7, 6, 3, 4, 6, 7, 3, 6, 5, 3, 4, 3, 6, 6, 3, 5, 3, 2, 7, 4, 6, 6, 6, 3, 2, 3, 5, 2, 6, 6, 3, 3, 5, 7, 5, 3, 4, 5, 7, 5, 5, 2, 3, 4, 4, 4, 4, 6, 6, 3, 4, 5, 6, 5, 6, 3, 4, 5, 3, 5, 3, 4, 5, 6, 4, 4, 6, 4, 4, 5, 4, 5, 7, 7, 5, 8, 5, 4, 5, 4, -1 5, 2, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 4, 3, 5, 6, 5, 6, 8, 9, 3, 5, 6, 4, 4, 6, 2, 5, 6, 6, 3, 4, 5, 5, 3, 6, 7, 4, 4, 4, 5, 3, 6, 4, 3, 5, 6, 7, 4, 4, 3, 4, 3, 6, 6, 3, 4, 6, 6, 6, 3, 5, 4, 3, 4, 4, 2, 7, 5, 6, 5, 4, 4, 5, 4, 6, 6, 2, 3, 5, 5, 2, 5, 3, 8, 5, 4, 4, 2, 6, 5, 2, 4, 7, 4, 6, 3, 5, 5, 4, 4, 3, 4, 6, 4, 3, 7, 3, 2, 4, 7, 5, 5, 4, 5, 4, 4, 2, 3, 5, 4, 3, 5, 3, 3, 7, 7, 7, 1, 4, 5, 6, 4, 6, 5, 3, 3, 4, 3, 6, 2, 3, 5, 4, 5, 4, 6, 9, 5, 4, 5, 5, 5, 4, 3, 2, 4, 5, 7, 3, 5, 4, 4, 5, 5, 4, 2, 6, 3, 3, 5, 4, 4, 4, 6, 7, 3, 4, 4, 6, 4, 5, 6, 4, 4, 5, 7, 3, 9, 4, 3, 7, 5, 4, 2, 4, 6, 4, 6, 3, 4, 5, 4, 3, 2, 3, 2, 7, 5, 4, 6, 5, 5, 4, 1, 5, 6, 8, 7, 2, 5, 3, 6, 4, 5, 3, 6, 5, 7, 6, 6, 4, 4, 3, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 4, 3, 2, 6, 7, 5, 5, 0, 7, 4, 4, 6, 6, 5, 3, 4, 4, 7, 6, 2, 4, 5, 4, 2, 4, 4, 4, 5, 5, 5, 7, 6, 4, 5, 7, 3, 7, 5, 5, 6, 5, 5, 7, 4, 3, 4, 6, 5, 4, 8, 5, 5, 6, 5, 5, 6, 5, 6, 7, 4, 3, 3, 7, 6, 2, 4, 3, 5, 5, 6, 4, 3, 5, 7, 5, 5, 6, 5, 5, 1, 6, 6, 3, 5, 4, 4, 6, 3, 5, 5, 5, 3, 8, 7, 4, 5, 4, 4, 3, 4, 2, 6, 3, 5, 4, 4, 5, 4, 5, 4, 7, 3, 4, 6, 6, 7, 5, 3, 6, 6, 5, 4, 3, 4, 7, 6, 5, 7, 4, 5, 2, 2, 3, 6, 3, 4, 6, 3, 6, 2, 2, 6, 5, 7, 3, 5, 5, 4, 3, 3, 7, 6, 6, 5, 5, 7, 7, 3, 1, 5, 2, 4, 6, 6, 4, 5, 2, 5, 3, 4, 4, 6, 5, 3, 5, 4, 6, 5, 6, 5, 3, 5, 5, 4, 5, 8, 4, 3, 7, 5, 2, 2, 5, 2, 4, 4, 6, 2, 4, 7, 3, 2, 4, 3, 5, 5, 5, 6, 5, 4, 2, 3, 5, 3, 4, 3, 5, 6, 6, 5, 3, 4, 6, 6, 3, 4, 3, 5, 3, 5, 4, 3, 5, 4, 3, 4, 5, 3, 5, 7, 2, 5, 5, 4, 6, 3, -1 2, 5, 4, 5, 3, 5, 2, 4, 5, 5, 6, 6, 3, 4, 4, 6, 4, 5, 5, 4, 4, 2, 4, 3, 5, 5, 7, 2, 6, 4, 5, 2, 4, 7, 5, 5, 5, 6, 6, 6, 4, 4, 3, 5, 6, 4, 2, 6, 2, 6, 6, 3, 3, 3, 4, 4, 5, 2, 6, 7, 4, 4, 5, 5, 8, 3, 4, 8, 2, 5, 4, 6, 1, 5, 4, 7, 2, 4, 6, 2, 3, 5, 4, 6, 4, 4, 2, 3, 3, 0, 4, 5, 6, 2, 5, 5, 6, 3, 4, 3, 5, 5, 3, 5, 3, 2, 7, 4, 4, 6, 3, 5, 5, 4, 5, 4, 7, 4, 6, 2, 2, 4, 3, 6, 2, 4, 4, 5, 2, 6, 5, 3, 4, 5, 5, 3, 6, 7, 4, 3, 2, 3, 2, 6, 4, 3, 7, 5, 4, 7, 4, 5, 5, 6, 6, 5, 5, 6, 2, 4, 3, 3, 5, 3, 3, 3, 7, 6, 3, 5, 5, 3, 4, 7, 5, 5, 5, 7, 4, 4, 4, 6, 0, 3, 4, 6, 3, 3, 4, 5, 4, 5, 3, 4, 6, 3, 5, 6, 4, 3, 3, 6, 6, 5, 6, 3, 5, 4, 5, 5, 4, 3, 6, 2, 5, 6, 5, 5, 4, 3, 3, 5, 3, 5, 4, 4, 8, 5, 3, 5, 3, 4, 6, 6, 2, 4, 3, 3, 3, 6, 7, 2, 6, 2, 4, 5, 5, 4, 5, 6, 4, 5, 2, 3, 6, 2, 4, 6, 7, 3, 4, 6, 5, 4, 5, 3, 5, 4, 3, 4, 4, 3, 6, 3, 2, 8, 4, 6, 6, 3, 2, 5, 4, 4, 6, 4, 5, 2, 0, 5, 4, 3, 6, 3, 6, 7, 5, 5, 5, 6, 4, 2, 6, 4, 5, 5, 1, 4, 2, 4, 6, 5, 3, 5, 5, 4, 4, 4, 6, 5, 5, 6, 3, 7, 4, 6, 4, 2, 9, 5, 5, 6, 4, 2, 3, 5, 7, 5, 5, 4, 3, 6, 4, 5, 2, 4, 4, 7, 4, 3, 7, 4, 3, 5, 5, 2, 5, 2, 7, 6, 5, 5, 5, 4, 4, 3, 4, 3, 5, 5, 3, 3, 5, 4, 4, 6, 6, 3, 2, 3, 3, 5, 4, 6, 6, 8, 6, 7, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 5, 6, 4, 6, 6, 4, 3, 4, 5, 3, 3, 6, 5, 3, 3, 7, 3, 6, 3, 6, 8, 4, 4, 2, 4, 4, 6, 3, 1, 5, 4, 3, 5, 2, 5, 6, 4, 5, 6, 4, 6, 5, 4, 7, 4, 6, 3, 5, 6, 4, 4, 6, 7, 6, 4, 5, 4, 7, 1, 4, 5, 4, 5, 7, 5, 6, 5, 5, 5, 4, 5, 6, 3, 5, 3, 7, 3, 2, 4, 5, 3, 5, 5, 4, 5, 6, 8, 4, 6, 4, 4, 5, 6, 4, 6, 4, 4, 5, 3, 3, 7, 5, -1 4, 5, 3, 4, 5, 6, 6, 6, 1, 5, 5, 2, 4, 4, 2, 3, 4, 4, 3, 4, 7, 5, 5, 5, 3, 4, 4, 2, 2, 6, 5, 6, 4, 5, 4, 4, 3, 5, 5, 3, 4, 3, 2, 4, 5, 4, 3, 4, 6, 5, 6, 4, 4, 3, 5, 5, 6, 4, 4, 5, 6, 2, 3, 3, 4, 2, 6, 4, 5, 5, 4, 5, 1, 4, 5, 4, 5, 5, 2, 6, 1, 5, 5, 5, 7, 5, 4, 5, 4, 5, 7, 7, 5, 2, 5, 5, 5, 3, 5, 6, 5, 4, 3, 6, 5, 5, 7, 6, 4, 7, 2, 5, 4, 4, 2, 7, 3, 3, 4, 4, 4, 5, 5, 6, 3, 2, 5, 4, 6, 5, 2, 4, 2, 4, 8, 4, 7, 6, 7, 5, 6, 7, 3, 3, 4, 4, 3, 4, 7, 5, 3, 3, 6, 5, 7, 5, 5, 6, 4, 4, 6, 5, 4, 6, 5, 5, 5, 4, 4, 5, 5, 4, 7, 3, 5, 4, 5, 7, 6, 4, 6, 7, 2, 2, 5, 4, 6, 3, 4, 6, 6, 4, 6, 4, 5, 6, 2, 6, 3, 6, 4, 4, 3, 5, 5, 4, 7, 4, 4, 8, 4, 3, 4, 3, 4, 6, 3, 5, 4, 6, 4, 6, 5, 5, 7, 6, 3, 3, 6, 4, 5, 5, 4, 6, 2, 4, 6, 3, 5, 2, 3, 5, 5, 4, 4, 6, 6, 4, 3, 3, 6, 6, 3, 5, 2, 1, 6, 4, 7, 5, 6, 7, 4, 5, 4, 3, 6, 4, 4, 3, 4, 7, 5, 6, 3, 4, 4, 7, 4, 5, 6, 5, 4, 4, 5, 6, 5, 4, 7, 6, 7, 6, 3, 4, 1, 4, 3, 2, 5, 5, 4, 5, 3, 5, 6, 9, 2, 4, 3, 5, 5, 5, 5, 5, 8, 5, 5, 5, 2, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 4, 5, 7, 5, 4, 6, 4, 3, 3, 4, 2, 4, 4, 5, 4, 5, 3, 6, 6, 3, 4, 4, 5, 4, 1, 4, 4, 6, 4, 3, 3, 3, 5, 4, 6, 4, 5, 6, 3, 4, 3, 6, 4, 5, 4, 1, 4, 5, 2, 5, 5, 3, 3, 4, 7, 4, 2, 6, 4, 3, 3, 4, 3, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4, 7, 4, 5, 4, 4, 5, 4, 1, 6, 4, 5, 3, 3, 4, 6, 4, 6, 6, 4, 5, 3, 4, 3, 5, 5, 5, 6, 4, 3, 5, 6, 5, 4, 4, 3, 4, 4, 4, 6, 4, 6, 5, 4, 1, 5, 3, 5, 8, 6, 2, 5, 7, 3, 3, 6, 1, 4, 6, 6, 3, 2, 2, 5, 3, 5, 3, 4, 6, 4, 2, 6, 4, 5, 5, 4, 6, 2, 5, 6, 2, 4, 4, 5, 2, 4, 3, 5, 4, 0, 3, 4, 6, 4, 4, 5, 6, 6, 5, -1 2, 5, 4, 2, 4, 3, 2, 6, 5, 5, 4, 3, 4, 2, 6, 3, 4, 5, 5, 5, 6, 8, 7, 5, 2, 4, 1, 7, 3, 5, 2, 3, 5, 4, 5, 4, 4, 4, 8, 6, 5, 6, 3, 5, 3, 4, 6, 8, 3, 7, 3, 4, 7, 6, 4, 5, 4, 5, 3, 3, 5, 7, 5, 5, 7, 5, 4, 8, 4, 4, 2, 5, 4, 3, 4, 3, 5, 2, 1, 5, 3, 4, 2, 4, 5, 3, 5, 6, 6, 4, 7, 5, 8, 2, 4, 3, 5, 4, 3, 4, 3, 4, 5, 6, 3, 2, 6, 3, 3, 5, 7, 4, 6, 5, 6, 5, 7, 3, 4, 7, 3, 4, 4, 6, 5, 2, 6, 3, 2, 5, 3, 4, 6, 5, 2, 5, 5, 3, 3, 1, 7, 5, 3, 3, 4, 5, 5, 3, 5, 4, 4, 9, 6, 5, 4, 2, 6, 6, 4, 3, 6, 6, 2, 7, 3, 4, 6, 3, 4, 5, 4, 4, 5, 6, 3, 3, 2, 5, 4, 3, 2, 4, 5, 3, 4, 5, 6, 7, 5, 5, 5, 4, 4, 4, 3, 6, 3, 2, 6, 7, 4, 7, 2, 2, 2, 5, 5, 4, 5, 7, 4, 4, 4, 3, 3, 3, 3, 0, 4, 2, 4, 3, 2, 3, 5, 8, 3, 5, 4, 3, 5, 2, 1, 3, 5, 5, 6, 3, 5, 3, 6, 3, 5, 4, 4, 5, 5, 4, 6, 6, 5, 3, 5, 4, 3, 5, 3, 4, 4, 3, 6, 3, 5, 5, 8, 5, 3, 5, 6, 6, 4, 3, 7, 4, 4, 5, 4, 5, 5, 2, 5, 5, 4, 5, 6, 4, 6, 6, 4, 3, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 7, 3, 5, 5, 3, 3, 5, 6, 5, 5, 4, 6, 0, 5, 6, 5, 3, 6, 2, 3, 2, 5, 3, 4, 7, 6, 5, 6, 6, 4, 4, 5, 7, 7, 6, 5, 6, 5, 3, 8, 3, 2, 2, 8, 7, 5, 4, 4, 7, 4, 5, 3, 5, 4, 5, 4, 6, 3, 4, 5, 3, 6, 5, 6, 5, 3, 4, 3, 3, 5, 4, 3, 5, 7, 2, 4, 2, 4, 3, 3, 5, 3, 4, 2, 6, 6, 3, 5, 3, 4, 3, 5, 4, 8, 5, 4, 6, 5, 4, 6, 3, 5, 5, 7, 6, 9, 4, 4, 4, 3, 6, 3, 7, 6, 4, 8, 4, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 8, 4, 3, 5, 6, 5, 2, 6, 4, 4, 4, 6, 6, 4, 4, 5, 5, 4, 4, 5, 6, 3, 6, 5, 4, 6, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 6, 6, 3, 4, 3, 4, 5, 7, 3, 1, 7, 6, 8, 6, 4, 6, 5, 5, 4, 6, 0, 5, 4, 4, 5, 5, 4, 3, 2, -1 4, 2, 5, 4, 4, 5, 2, 4, 3, 4, 3, 5, 4, 7, 3, 4, 4, 4, 3, 5, 5, 5, 4, 3, 3, 4, 4, 5, 6, 4, 5, 4, 6, 4, 6, 6, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 5, 2, 3, 4, 5, 5, 3, 5, 5, 7, 8, 3, 4, 3, 6, 3, 5, 4, 3, 6, 6, 6, 4, 2, 6, 5, 5, 6, 6, 3, 6, 4, 4, 5, 3, 3, 4, 6, 3, 4, 6, 5, 4, 1, 4, 3, 6, 3, 5, 3, 4, 4, 3, 6, 5, 5, 4, 4, 3, 5, 4, 5, 6, 5, 4, 4, 6, 5, 6, 6, 4, 6, 6, 3, 5, 5, 4, 4, 6, 7, 3, 5, 6, 6, 4, 2, 5, 5, 6, 4, 5, 4, 4, 6, 3, 6, 3, 4, 3, 5, 2, 4, 1, 6, 4, 6, 6, 4, 4, 6, 6, 6, 7, 2, 5, 5, 7, 6, 4, 2, 4, 4, 4, 5, 9, 5, 5, 1, 5, 3, 5, 6, 3, 5, 5, 3, 3, 6, 6, 5, 6, 8, 5, 6, 6, 5, 3, 5, 6, 6, 5, 2, 4, 2, 3, 6, 5, 7, 4, 6, 3, 4, 4, 4, 7, 3, 5, 3, 6, 5, 5, 3, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 4, 6, 4, 1, 2, 3, 2, 3, 5, 7, 4, 6, 7, 3, 4, 6, 6, 3, 5, 4, 7, 5, 3, 5, 1, 4, 4, 5, 3, 3, 6, 5, 5, 2, 5, 4, 5, 2, 4, 6, 2, 3, 7, 4, 5, 5, 3, 4, 7, 5, 5, 5, 3, 3, 5, 3, 3, 3, 6, 5, 3, 4, 6, 4, 2, 6, 4, 5, 4, 4, 6, 6, 5, 4, 3, 5, 5, 8, 4, 7, 3, 6, 1, 5, 5, 2, 6, 3, 5, 4, 7, 7, 5, 4, 5, 4, 7, 5, 4, 2, 6, 4, 5, 4, 4, 5, 4, 5, 3, 6, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 6, 3, 5, 3, 4, 6, 3, 5, 4, 5, 6, 4, 6, 4, 4, 3, 6, 4, 5, 6, 9, 6, 5, 3, 6, 3, 5, 3, 2, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 1, 7, 3, 7, 4, 4, 6, 4, 7, 6, 7, 5, 5, 4, 5, 5, 4, 6, 3, 4, 4, 3, 5, 3, 5, 3, 4, 2, 4, 3, 3, 4, 8, 4, 5, 3, 7, 7, 6, 4, 5, 4, 2, 3, 5, 5, 5, 5, 5, 3, 6, 5, 3, 3, 6, 3, 4, 4, 4, 6, 5, 6, 4, 3, 2, 3, 5, 1, 2, 5, 4, 6, 4, 4, 3, 4, 3, 4, 4, 5, 5, 6, 6, 3, 7, 3, 7, 7, 1, 2, 7, 3, 4, 2, 2, 3, 6, 5, 3, 3, 4, 5, 6, 4, 5, 3, 3, 6, 1 3, 3, 7, 5, 5, 3, 4, 3, 5, 6, 6, 4, 4, 5, 7, 6, 6, 5, 5, 4, 6, 7, 5, 7, 4, 5, 5, 3, 3, 8, 6, 1, 2, 3, 4, 4, 3, 5, 5, 2, 4, 4, 5, 6, 8, 3, 6, 3, 3, 5, 4, 1, 5, 2, 0, 5, 5, 5, 5, 4, 4, 4, 6, 4, 6, 4, 4, 5, 4, 3, 5, 7, 6, 5, 6, 5, 4, 4, 5, 4, 3, 4, 4, 6, 3, 3, 7, 4, 4, 2, 2, 2, 5, 4, 1, 4, 2, 4, 2, 6, 4, 5, 3, 5, 4, 2, 5, 6, 4, 4, 3, 5, 6, 3, 3, 5, 4, 3, 4, 4, 6, 6, 8, 4, 6, 7, 7, 6, 2, 4, 6, 5, 6, 2, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 1, 5, 4, 6, 6, 5, 6, 6, 5, 3, 4, 5, 5, 4, 4, 5, 5, 4, 6, 6, 4, 4, 6, 4, 7, 4, 8, 6, 7, 3, 5, 3, 6, 4, 5, 4, 6, 3, 3, 6, 5, 2, 5, 4, 5, 5, 4, 6, 4, 3, 3, 5, 1, 6, 3, 4, 4, 3, 3, 6, 3, 4, 4, 6, 3, 4, 1, 4, 4, 5, 3, 5, 6, 3, 4, 4, 3, 6, 4, 5, 6, 5, 6, 3, 4, 5, 4, 5, 4, 4, 3, 4, 6, 3, 5, 5, 7, 3, 3, 5, 6, 5, 4, 5, 4, 7, 4, 6, 5, 5, 3, 4, 4, 5, 5, 5, 8, 3, 5, 6, 5, 4, 7, 2, 4, 5, 5, 3, 5, 4, 6, 6, 7, 4, 7, 4, 5, 3, 7, 1, 6, 3, 4, 3, 3, 1, 3, 3, 4, 5, 2, 3, 3, 3, 1, 6, 6, 5, 5, 7, 7, 4, 5, 7, 5, 6, 5, 2, 4, 2, 3, 5, 4, 3, 3, 7, 6, 5, 3, 5, 8, 5, 4, 4, 6, 2, 2, 5, 2, 6, 6, 4, 5, 4, 7, 4, 3, 3, 3, 4, 5, 5, 6, 5, 6, 6, 5, 2, 2, 7, 5, 3, 3, 5, 7, 4, 4, 6, 4, 6, 5, 7, 6, 5, 8, 2, 2, 3, 5, 7, 4, 7, 5, 3, 2, 2, 1, 3, 5, 7, 2, 6, 5, 4, 6, 3, 4, 4, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 4, 3, 6, 5, 6, 6, 5, 6, 5, 3, 4, 4, 2, 5, 3, 4, 4, 5, 2, 2, 4, 7, 7, 3, 4, 6, 4, 5, 2, 2, 3, 7, 2, 7, 3, 5, 7, 5, 5, 6, 8, 5, 3, 4, 2, 2, 5, 5, 3, 4, 4, 4, 6, 4, 6, 2, 4, 6, 5, 3, 5, 6, 4, 7, 5, 4, 7, 4, 5, 6, 4, 5, 3, 1, 1, 1, 6, 3, 4, 5, 2, 6, 5, 5, 2, 4, 5, 7, 5, 4, 3, 7, 3, 5, 4, 5, 6, 1 5, 3, 4, 3, 5, 5, 6, 4, 4, 7, 4, 6, 3, 6, 5, 4, 3, 3, 7, 2, 4, 4, 5, 6, 4, 3, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 3, 6, 3, 3, 4, 4, 5, 4, 7, 2, 3, 6, 3, 5, 5, 4, 4, 3, 4, 6, 6, 4, 2, 3, 4, 7, 5, 5, 4, 3, 4, 4, 6, 4, 5, 6, 3, 2, 4, 5, 4, 6, 7, 7, 2, 6, 4, 4, 6, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 6, 4, 5, 6, 3, 3, 2, 5, 6, 5, 5, 7, 5, 5, 6, 2, 4, 4, 5, 5, 3, 6, 1, 5, 4, 4, 4, 5, 4, 3, 6, 3, 4, 6, 6, 3, 5, 4, 7, 5, 2, 4, 3, 4, 6, 6, 3, 5, 2, 4, 4, 8, 3, 1, 4, 3, 4, 5, 5, 5, 4, 7, 5, 5, 8, 7, 2, 6, 4, 4, 5, 4, 4, 3, 5, 3, 3, 6, 7, 5, 7, 4, 7, 6, 1, 3, 5, 5, 3, 6, 7, 6, 5, 4, 5, 4, 4, 2, 2, 3, 5, 5, 3, 6, 3, 5, 5, 2, 4, 5, 3, 4, 6, 1, 3, 2, 6, 4, 5, 5, 2, 5, 5, 6, 5, 6, 4, 7, 3, 3, 2, 7, 3, 4, 5, 5, 4, 7, 4, 4, 6, 4, 2, 6, 5, 3, 4, 5, 2, 5, 1, 5, 3, 6, 5, 2, 8, 6, 4, 5, 3, 3, 4, 3, 6, 4, 3, 6, 5, 5, 6, 4, 6, 4, 4, 3, 5, 6, 3, 6, 4, 4, 4, 4, 5, 3, 5, 4, 3, 9, 4, 6, 4, 7, 5, 4, 4, 3, 4, 5, 7, 4, 3, 4, 4, 6, 3, 3, 4, 4, 4, 1, 4, 5, 5, 6, 4, 3, 3, 5, 4, 3, 5, 5, 4, 3, 5, 3, 7, 6, 6, 4, 4, 5, 1, 5, 4, 5, 3, 6, 6, 3, 4, 4, 4, 4, 4, 3, 3, 3, 6, 3, 6, 5, 2, 4, 6, 4, 3, 4, 5, 3, 6, 6, 7, 4, 5, 3, 4, 7, 3, 7, 5, 3, 3, 4, 4, 5, 4, 7, 6, 3, 4, 3, 2, 4, 4, 4, 6, 4, 4, 5, 4, 5, 4, 3, 6, 4, 3, 5, 4, 6, 6, 7, 5, 4, 5, 2, 5, 1, 5, 5, 4, 5, 6, 4, 6, 6, 3, 4, 5, 5, 6, 3, 6, 2, 3, 5, 4, 3, 5, 4, 1, 3, 4, 4, 4, 4, 6, 4, 3, 6, 6, 4, 6, 3, 6, 5, 4, 4, 2, 3, 4, 4, 6, 5, 5, 4, 7, 5, 3, 6, 4, 5, 3, 4, 4, 2, 7, 6, 4, 3, 3, 6, 1, 4, 3, 5, 6, 5, 4, 3, 2, 5, 3, 4, 6, 4, 2, 5, 2, 6, 3, 4, 6, 5, 6, 7, 6, 5, 3, 4, 5, 4, 4, -1 4, 3, 5, 4, 4, 4, 6, 5, 6, 3, 5, 5, 7, 5, 6, 4, 4, 6, 3, 5, 6, 6, 5, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 6, 6, 7, 4, 3, 6, 3, 5, 4, 4, 5, 2, 5, 2, 4, 3, 8, 5, 4, 3, 4, 3, 6, 6, 3, 3, 3, 6, 5, 4, 7, 4, 6, 4, 6, 7, 3, 4, 4, 3, 4, 3, 6, 6, 5, 4, 2, 4, 4, 0, 4, 6, 3, 5, 3, 5, 3, 4, 2, 6, 5, 7, 5, 5, 6, 2, 6, 6, 4, 3, 3, 2, 5, 5, 5, 7, 5, 5, 2, 6, 6, 3, 4, 7, 3, 5, 4, 4, 4, 5, 4, 5, 3, 7, 7, 6, 5, 2, 4, 3, 3, 6, 4, 4, 5, 8, 4, 6, 3, 3, 4, 6, 4, 6, 4, 4, 5, 5, 5, 4, 6, 7, 5, 3, 3, 5, 4, 6, 3, 6, 7, 5, 3, 6, 7, 1, 4, 6, 3, 4, 7, 6, 5, 5, 3, 6, 7, 6, 4, 4, 3, 5, 4, 5, 3, 4, 5, 5, 3, 3, 6, 6, 3, 4, 6, 4, 4, 2, 4, 5, 3, 5, 3, 3, 4, 3, 4, 5, 2, 0, 6, 6, 4, 7, 5, 3, 4, 4, 4, 7, 5, 6, 4, 4, 5, 6, 6, 4, 5, 4, 5, 3, 4, 5, 7, 7, 3, 5, 4, 4, 8, 4, 4, 2, 3, 3, 4, 5, 3, 4, 5, 5, 2, 6, 5, 4, 5, 4, 3, 5, 7, 8, 4, 3, 2, 4, 5, 9, 3, 5, 3, 3, 4, 4, 3, 2, 4, 4, 7, 4, 3, 7, 6, 4, 6, 2, 6, 7, 5, 3, 3, 6, 5, 6, 4, 4, 6, 4, 6, 4, 3, 4, 6, 3, 3, 3, 5, 4, 2, 5, 5, 6, 3, 4, 4, 3, 5, 5, 5, 1, 5, 4, 6, 5, 4, 4, 2, 5, 5, 7, 2, 3, 5, 3, 7, 3, 5, 4, 4, 6, 3, 5, 4, 2, 4, 2, 3, 5, 3, 7, 5, 3, 5, 6, 7, 5, 5, 6, 4, 3, 0, 4, 6, 3, 4, 2, 3, 4, 4, 4, 4, 5, 5, 3, 5, 2, 4, 4, 3, 6, 3, 6, 4, 4, 6, 7, 6, 4, 3, 3, 5, 4, 3, 7, 4, 7, 2, 6, 4, 3, 3, 1, 4, 5, 3, 6, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 7, 3, 5, 5, 5, 4, 4, 6, 8, 2, 5, 3, 3, 5, 6, 3, 7, 5, 5, 4, 5, 3, 5, 3, 5, 3, 2, 8, 5, 1, 2, 6, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 6, 5, 6, 4, 6, 8, 2, 4, 4, 3, 5, 3, 5, 6, 4, 5, 4, 4, 5, 4, 3, 7, 4, 4, 2, 3, 3, 3, -1 3, 6, 6, 4, 4, 6, 7, 4, 4, 5, 5, 4, 6, 3, 5, 5, 3, 4, 7, 3, 5, 5, 6, 4, 6, 5, 3, 4, 3, 5, 4, 4, 4, 3, 5, 6, 2, 5, 4, 3, 4, 2, 4, 3, 5, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 6, 6, 5, 4, 5, 6, 3, 8, 4, 6, 4, 3, 6, 4, 7, 5, 5, 5, 3, 4, 6, 3, 2, 4, 1, 4, 5, 4, 3, 6, 5, 5, 5, 4, 3, 7, 3, 2, 5, 8, 5, 1, 5, 4, 3, 4, 5, 3, 7, 4, 3, 6, 3, 3, 2, 3, 3, 4, 3, 5, 5, 7, 3, 3, 4, 3, 5, 4, 6, 6, 3, 4, 6, 3, 4, 4, 4, 4, 6, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 1, 7, 3, 5, 3, 4, 6, 4, 4, 4, 7, 4, 5, 3, 6, 3, 6, 3, 3, 5, 5, 2, 3, 8, 3, 4, 4, 6, 4, 4, 6, 5, 5, 4, 3, 4, 0, 5, 3, 3, 4, 3, 5, 4, 5, 2, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 6, 6, 3, 3, 3, 2, 3, 6, 3, 5, 3, 6, 3, 2, 5, 5, 4, 5, 3, 5, 3, 4, 5, 4, 3, 4, 4, 5, 6, 6, 3, 4, 3, 4, 5, 4, 6, 4, 5, 7, 6, 4, 7, 4, 9, 6, 4, 5, 2, 5, 3, 5, 4, 6, 9, 4, 3, 4, 4, 3, 7, 7, 2, 3, 6, 5, 7, 5, 6, 5, 4, 4, 2, 3, 3, 6, 3, 6, 5, 4, 7, 8, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 6, 4, 3, 6, 4, 4, 5, 5, 3, 5, 3, 3, 3, 3, 6, 4, 5, 3, 6, 5, 4, 4, 4, 5, 3, 4, 5, 4, 6, 4, 6, 6, 3, 5, 5, 4, 3, 4, 4, 5, 5, 1, 4, 7, 2, 4, 5, 5, 5, 4, 5, 3, 5, 4, 6, 7, 6, 6, 4, 7, 1, 4, 4, 4, 3, 5, 4, 5, 4, 3, 5, 3, 5, 4, 2, 0, 4, 2, 4, 4, 3, 6, 6, 5, 3, 6, 4, 5, 4, 3, 6, 6, 6, 6, 3, 2, 5, 3, 7, 8, 6, 3, 6, 6, 3, 5, 2, 3, 5, 6, 4, 5, 4, 7, 5, 4, 3, 2, 5, 3, 6, 3, 3, 4, 5, 2, 3, 3, 4, 4, 5, 6, 5, 4, 4, 4, 4, 2, 6, 4, 5, 3, 3, 4, 5, 6, 5, 6, 3, 3, 5, 3, 5, 7, 3, 8, 5, 5, 1, 6, 3, 7, 5, 4, 6, 4, 2, 6, 4, 8, 4, 7, 4, 5, 5, 6, 5, 5, 1, 6, 3, 3, 3, 3, 3, 6, 6, 4, 7, 6, 1 4, 6, 6, 3, 3, 3, 8, 4, 3, 6, 4, 4, 4, 5, 4, 6, 5, 4, 5, 3, 7, 3, 5, 4, 3, 3, 4, 5, 5, 6, 4, 5, 1, 4, 4, 2, 5, 4, 3, 7, 4, 3, 6, 5, 3, 3, 4, 4, 5, 8, 4, 3, 5, 4, 5, 7, 5, 5, 3, 5, 5, 5, 3, 3, 4, 7, 5, 4, 4, 3, 4, 6, 3, 5, 3, 5, 5, 3, 6, 3, 2, 3, 3, 7, 5, 4, 5, 4, 4, 5, 2, 6, 7, 5, 7, 3, 5, 4, 4, 3, 7, 6, 5, 5, 3, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 1, 5, 5, 4, 2, 7, 5, 5, 3, 5, 8, 6, 3, 5, 3, 7, 6, 3, 6, 6, 3, 2, 5, 7, 2, 4, 2, 3, 7, 5, 4, 5, 3, 7, 4, 7, 3, 6, 4, 6, 5, 4, 4, 6, 3, 6, 5, 4, 5, 4, 5, 4, 3, 4, 6, 5, 1, 5, 5, 9, 5, 3, 4, 6, 4, 4, 6, 6, 5, 6, 4, 5, 7, 6, 4, 3, 5, 5, 6, 3, 1, 3, 4, 5, 2, 5, 5, 3, 5, 6, 8, 4, 3, 3, 3, 5, 6, 5, 3, 3, 4, 4, 5, 3, 4, 0, 5, 4, 3, 8, 4, 4, 3, 3, 5, 5, 4, 6, 4, 5, 3, 5, 3, 4, 3, 4, 5, 3, 5, 6, 4, 8, 6, 6, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 7, 6, 5, 4, 3, 7, 5, 1, 3, 5, 5, 5, 4, 5, 3, 4, 4, 5, 4, 3, 4, 6, 3, 3, 4, 5, 4, 7, 4, 3, 5, 5, 7, 3, 5, 4, 5, 4, 4, 6, 5, 5, 7, 5, 4, 4, 5, 5, 6, 5, 5, 3, 2, 5, 3, 5, 4, 5, 3, 4, 5, 2, 4, 5, 4, 6, 5, 2, 3, 5, 2, 5, 5, 5, 3, 3, 4, 5, 5, 2, 4, 3, 4, 3, 1, 5, 4, 3, 2, 5, 5, 4, 2, 4, 5, 5, 6, 5, 4, 4, 4, 5, 3, 6, 4, 4, 4, 2, 6, 1, 2, 2, 4, 3, 6, 5, 5, 4, 4, 4, 2, 5, 4, 4, 6, 6, 2, 4, 5, 6, 5, 1, 5, 3, 5, 4, 6, 6, 5, 5, 3, 7, 5, 5, 4, 4, 5, 2, 8, 4, 3, 4, 2, 2, 4, 7, 3, 5, 3, 4, 2, 7, 2, 6, 4, 5, 5, 3, 2, 3, 4, 6, 4, 5, 6, 2, 2, 4, 4, 2, 4, 7, 5, 4, 4, 6, 2, 5, 4, 6, 4, 8, 7, 4, 2, 4, 5, 3, 6, 5, 3, 2, 3, 6, 7, 4, 1, 5, 5, 2, 5, 7, 4, 5, 3, 5, 4, 4, 2, 2, 4, 6, 7, 5, 4, 7, 4, 3, 4, 3, 4, 3, 6, 3, 5, 3, 5, 4, 4, -1 3, 5, 3, 4, 4, 3, 4, 5, 5, 2, 5, 4, 5, 4, 4, 4, 3, 6, 5, 4, 4, 7, 5, 4, 3, 3, 4, 2, 3, 4, 4, 4, 4, 5, 5, 7, 5, 5, 4, 7, 4, 2, 7, 2, 5, 5, 2, 5, 3, 6, 6, 4, 3, 3, 5, 4, 7, 5, 0, 0, 6, 7, 1, 2, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 6, 5, 2, 4, 8, 3, 2, 0, 2, 2, 6, 5, 5, 4, 5, 6, 4, 5, 2, 4, 6, 5, 4, 6, 6, 2, 7, 2, 4, 3, 5, 3, 5, 2, 3, 6, 4, 5, 6, 5, 4, 3, 8, 1, 5, 2, 6, 3, 5, 3, 5, 4, 2, 6, 4, 2, 3, 1, 3, 6, 4, 5, 7, 6, 6, 6, 6, 3, 4, 3, 3, 5, 3, 4, 7, 5, 6, 7, 5, 3, 3, 6, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 7, 6, 2, 3, 3, 4, 6, 5, 3, 4, 3, 2, 6, 3, 3, 5, 6, 4, 4, 1, 4, 4, 5, 5, 3, 5, 4, 6, 2, 5, 3, 1, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 6, 4, 3, 3, 5, 5, 2, 4, 3, 2, 5, 5, 6, 5, 2, 5, 3, 6, 4, 3, 5, 2, 3, 5, 4, 2, 4, 2, 4, 4, 7, 6, 5, 5, 6, 7, 4, 4, 6, 3, 3, 4, 2, 3, 4, 6, 5, 3, 4, 2, 4, 5, 4, 4, 7, 7, 7, 0, 2, 4, 7, 5, 7, 2, 3, 3, 7, 7, 5, 2, 3, 2, 3, 5, 3, 3, 5, 4, 4, 5, 4, 3, 7, 3, 5, 5, 4, 2, 7, 3, 5, 5, 4, 5, 6, 4, 3, 4, 2, 4, 6, 4, 4, 8, 5, 3, 4, 4, 5, 7, 6, 3, 8, 3, 7, 3, 4, 5, 5, 4, 5, 3, 7, 6, 6, 1, 5, 4, 3, 5, 3, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 5, 6, 6, 5, 2, 3, 2, 6, 5, 6, 4, 6, 4, 5, 7, 3, 3, 4, 6, 3, 3, 4, 6, 4, 5, 4, 2, 7, 4, 7, 3, 5, 5, 5, 5, 5, 3, 6, 4, 5, 5, 5, 3, 5, 3, 5, 5, 7, 3, 4, 5, 4, 4, 2, 5, 2, 6, 5, 6, 4, 8, 4, 5, 3, 2, 3, 5, 6, 7, 7, 4, 3, 4, 7, 4, 6, 4, 4, 4, 4, 7, 7, 5, 3, 2, 4, 3, 6, 4, 3, 4, 6, 5, 4, 6, 6, 6, 4, 3, 7, 6, 7, 5, 4, 3, 4, 2, 3, 4, 2, 8, 4, 3, 2, 5, 6, 3, 3, 3, 4, 6, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 2, 4, 5, 6, 4, 1 2, 2, 5, 2, 4, 5, 3, 6, 4, 5, 3, 3, 6, 7, 3, 5, 5, 5, 7, 5, 6, 4, 6, 3, 6, 4, 3, 5, 3, 5, 3, 6, 2, 4, 4, 5, 3, 3, 1, 3, 6, 6, 4, 3, 5, 7, 3, 3, 3, 5, 6, 4, 4, 4, 3, 7, 4, 4, 3, 5, 6, 4, 5, 4, 7, 7, 6, 7, 7, 5, 3, 7, 4, 7, 5, 4, 5, 5, 3, 5, 5, 4, 6, 4, 1, 2, 6, 3, 6, 2, 4, 6, 4, 3, 4, 4, 3, 4, 7, 6, 4, 4, 4, 4, 7, 3, 4, 5, 5, 4, 4, 4, 6, 3, 4, 4, 3, 6, 6, 2, 3, 4, 6, 5, 6, 4, 7, 9, 3, 5, 3, 3, 4, 4, 5, 3, 3, 3, 5, 3, 2, 5, 5, 4, 4, 7, 5, 5, 4, 6, 5, 3, 8, 6, 6, 6, 5, 4, 4, 5, 6, 5, 4, 4, 5, 6, 5, 4, 4, 4, 0, 6, 5, 6, 3, 6, 4, 3, 3, 4, 6, 3, 6, 4, 3, 6, 7, 7, 5, 8, 6, 6, 4, 3, 5, 5, 7, 4, 6, 5, 4, 6, 1, 9, 8, 5, 5, 1, 3, 5, 3, 4, 4, 4, 5, 5, 4, 2, 5, 4, 5, 4, 3, 4, 4, 5, 7, 6, 4, 4, 2, 4, 3, 4, 1, 1, 4, 3, 8, 3, 5, 3, 6, 6, 8, 4, 6, 7, 3, 4, 5, 3, 4, 3, 3, 3, 4, 3, 4, 5, 6, 3, 4, 4, 3, 5, 4, 4, 3, 6, 4, 5, 6, 3, 2, 6, 7, 4, 5, 6, 6, 6, 6, 2, 6, 2, 5, 4, 5, 6, 5, 4, 5, 4, 3, 5, 3, 4, 4, 6, 7, 1, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 5, 6, 4, 4, 6, 4, 6, 5, 6, 4, 5, 4, 6, 5, 5, 3, 3, 4, 2, 4, 5, 4, 3, 6, 3, 5, 5, 5, 4, 7, 4, 2, 7, 4, 6, 7, 4, 5, 4, 5, 8, 8, 4, 4, 2, 6, 5, 7, 5, 3, 4, 4, 4, 6, 5, 3, 3, 4, 8, 4, 7, 4, 7, 6, 5, 3, 6, 3, 4, 4, 5, 2, 5, 6, 7, 4, 5, 8, 4, 3, 4, 5, 7, 1, 3, 4, 6, 4, 5, 4, 6, 3, 5, 6, 6, 5, 4, 5, 2, 4, 5, 2, 4, 5, 5, 5, 2, 4, 5, 3, 4, 5, 6, 5, 6, 4, 4, 5, 5, 5, 6, 3, 4, 5, 3, 7, 3, 6, 6, 5, 7, 2, 5, 5, 6, 5, 7, 4, 3, 1, 6, 4, 6, 2, 3, 6, 6, 5, 4, 4, 4, 6, 7, 4, 5, 4, 2, 6, 5, 5, 5, 4, 3, 6, 5, 5, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 2, 6, 1, 7, 5, 4, 6, 4, 7, 5, 6, -1 2, 2, 3, 1, 5, 0, 7, 6, 2, 4, 2, 5, 3, 2, 6, 5, 5, 6, 5, 5, 5, 4, 5, 5, 0, 3, 5, 5, 3, 4, 5, 5, 6, 5, 7, 5, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4, 6, 5, 6, 3, 5, 2, 6, 4, 5, 1, 3, 3, 4, 5, 3, 3, 5, 4, 3, 6, 5, 6, 6, 5, 6, 5, 3, 4, 2, 3, 4, 4, 5, 5, 4, 6, 5, 4, 3, 3, 5, 4, 7, 5, 4, 4, 5, 3, 4, 6, 5, 5, 6, 5, 2, 4, 7, 4, 4, 7, 1, 4, 2, 6, 5, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 2, 4, 6, 2, 6, 4, 4, 2, 5, 5, 2, 3, 3, 4, 5, 2, 5, 1, 6, 3, 5, 3, 4, 4, 3, 7, 6, 3, 5, 4, 4, 5, 3, 7, 6, 5, 6, 3, 3, 4, 4, 6, 4, 4, 6, 6, 6, 2, 5, 4, 6, 4, 7, 5, 4, 6, 4, 3, 5, 4, 4, 5, 4, 7, 5, 6, 4, 7, 4, 4, 6, 2, 5, 4, 4, 5, 2, 1, 6, 7, 7, 4, 2, 4, 5, 3, 5, 5, 2, 7, 4, 4, 5, 6, 3, 6, 3, 2, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 7, 5, 4, 7, 6, 6, 5, 7, 6, 3, 5, 4, 4, 5, 3, 7, 1, 5, 6, 5, 4, 4, 5, 1, 3, 2, 6, 3, 2, 6, 6, 6, 2, 4, 6, 7, 3, 5, 4, 3, 3, 5, 1, 3, 4, 4, 6, 4, 4, 3, 4, 9, 2, 6, 6, 6, 4, 4, 5, 2, 5, 5, 3, 4, 5, 3, 4, 2, 4, 4, 4, 2, 2, 3, 6, 6, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 3, 4, 6, 7, 5, 7, 5, 6, 4, 3, 6, 3, 4, 6, 4, 5, 4, 6, 5, 6, 5, 5, 2, 5, 6, 6, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 6, 3, 4, 7, 5, 6, 8, 6, 5, 2, 4, 4, 2, 4, 5, 5, 6, 5, 5, 5, 3, 3, 5, 4, 6, 5, 6, 5, 5, 5, 5, 7, 5, 4, 4, 3, 5, 5, 6, 5, 6, 2, 4, 6, 3, 1, 5, 8, 9, 5, 3, 5, 3, 5, 4, 3, 5, 6, 5, 4, 3, 4, 4, 6, 2, 7, 6, 7, 5, 2, 3, 7, 3, 5, 4, 4, 6, 2, 5, 5, 5, 6, 2, 4, 6, 4, 5, 3, 4, 2, 6, 5, 3, 6, 4, 4, 7, 5, 3, 4, 6, 4, 3, 5, 4, 4, 4, 3, 4, 4, 7, 5, 3, 4, 4, 4, 5, 3, 2, 4, 5, 4, 5, 6, 5, 4, 3, 4, 5, 4, 2, 4, 5, 5, 3, 5, 3, 6, 6, 4, 5, -1 4, 3, 2, 3, 6, 4, 4, 3, 2, 4, 5, 5, 6, 2, 5, 4, 4, 4, 7, 4, 5, 6, 5, 2, 4, 5, 4, 4, 4, 4, 6, 5, 3, 3, 7, 4, 4, 5, 3, 5, 4, 1, 3, 4, 7, 5, 6, 4, 3, 5, 5, 4, 4, 5, 6, 6, 5, 4, 3, 4, 5, 6, 3, 6, 3, 5, 2, 6, 6, 4, 5, 5, 1, 5, 4, 5, 3, 2, 7, 4, 3, 6, 4, 4, 5, 7, 4, 3, 4, 1, 4, 6, 5, 5, 5, 2, 6, 5, 5, 3, 6, 8, 6, 3, 2, 4, 6, 4, 4, 4, 3, 5, 5, 4, 5, 6, 5, 4, 4, 4, 1, 4, 6, 5, 6, 3, 6, 7, 4, 4, 4, 3, 7, 5, 8, 3, 4, 3, 4, 2, 3, 6, 6, 2, 1, 4, 3, 8, 5, 6, 3, 5, 4, 4, 5, 5, 5, 4, 5, 2, 4, 6, 2, 3, 3, 6, 3, 4, 6, 5, 7, 5, 4, 6, 6, 6, 8, 3, 3, 4, 6, 6, 4, 5, 5, 2, 3, 4, 4, 3, 2, 5, 5, 6, 3, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 6, 1, 6, 5, 3, 5, 5, 5, 6, 4, 4, 5, 5, 4, 4, 5, 8, 6, 4, 6, 4, 4, 4, 3, 4, 5, 6, 7, 3, 5, 7, 6, 7, 6, 2, 5, 4, 6, 7, 3, 3, 4, 6, 8, 6, 6, 3, 3, 4, 5, 3, 2, 2, 6, 5, 3, 4, 7, 5, 2, 4, 6, 7, 6, 6, 3, 6, 7, 3, 6, 4, 3, 4, 6, 1, 3, 1, 4, 5, 4, 3, 1, 5, 5, 5, 3, 7, 6, 3, 5, 5, 5, 7, 6, 5, 5, 4, 6, 5, 5, 7, 5, 5, 7, 4, 3, 3, 4, 5, 4, 5, 6, 8, 4, 6, 4, 5, 5, 7, 9, 5, 4, 8, 5, 4, 4, 4, 3, 4, 4, 3, 4, 6, 5, 7, 3, 6, 3, 4, 2, 7, 4, 5, 6, 5, 5, 5, 6, 4, 4, 6, 4, 4, 5, 3, 5, 3, 1, 5, 5, 3, 4, 5, 5, 6, 4, 4, 3, 3, 2, 4, 4, 6, 4, 3, 4, 2, 2, 6, 4, 2, 5, 5, 5, 4, 5, 5, 3, 5, 4, 3, 2, 4, 6, 6, 5, 4, 6, 6, 4, 6, 5, 0, 5, 5, 4, 5, 3, 6, 4, 5, 3, 3, 5, 4, 6, 3, 5, 3, 2, 5, 4, 4, 7, 4, 6, 2, 5, 5, 4, 5, 6, 3, 3, 5, 3, 4, 3, 5, 7, 5, 4, 4, 4, 3, 4, 6, 4, 2, 5, 7, 3, 5, 6, 3, 3, 5, 5, 5, 5, 7, 3, 4, 3, 4, 6, 7, 4, 1, 7, 5, 4, 6, 7, 5, 5, 4, 7, 3, 2, 4, 4, 3, 3, 2, 4, 5, 5, 4, 4, 4, 1 2, 5, 7, 2, 3, 5, 7, 5, 5, 4, 4, 3, 5, 3, 5, 6, 6, 3, 4, 4, 6, 7, 3, 7, 6, 3, 3, 5, 6, 4, 4, 4, 3, 3, 6, 6, 4, 4, 4, 5, 5, 2, 5, 4, 3, 2, 2, 7, 3, 5, 3, 5, 4, 3, 7, 6, 6, 5, 3, 4, 4, 3, 4, 2, 4, 4, 3, 3, 7, 5, 5, 6, 4, 4, 5, 3, 4, 6, 5, 3, 2, 5, 1, 6, 6, 5, 3, 4, 2, 7, 4, 5, 8, 5, 5, 4, 5, 3, 6, 7, 6, 4, 5, 2, 3, 6, 5, 6, 4, 4, 4, 3, 6, 5, 3, 5, 3, 6, 4, 4, 4, 4, 5, 4, 7, 5, 4, 7, 6, 5, 4, 4, 5, 3, 4, 6, 3, 5, 6, 7, 5, 4, 4, 3, 5, 6, 2, 5, 7, 4, 4, 7, 5, 6, 9, 5, 4, 3, 6, 7, 6, 3, 5, 2, 4, 5, 4, 3, 6, 8, 4, 5, 5, 3, 4, 4, 6, 5, 4, 3, 3, 4, 4, 6, 4, 5, 5, 4, 5, 3, 6, 5, 3, 3, 5, 5, 6, 4, 4, 4, 4, 4, 4, 2, 5, 5, 4, 7, 5, 5, 5, 4, 4, 7, 4, 2, 7, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 6, 5, 4, 4, 5, 5, 3, 4, 5, 3, 5, 4, 6, 4, 4, 5, 5, 4, 3, 4, 3, 4, 6, 5, 3, 5, 6, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 7, 5, 4, 4, 4, 5, 4, 6, 3, 5, 3, 7, 4, 6, 3, 5, 6, 5, 6, 5, 5, 7, 3, 5, 5, 7, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 3, 6, 4, 5, 6, 2, 5, 6, 6, 3, 5, 5, 4, 4, 5, 4, 4, 6, 5, 5, 7, 4, 7, 4, 3, 5, 3, 1, 5, 3, 4, 5, 1, 5, 6, 4, 8, 3, 6, 5, 5, 5, 4, 4, 4, 3, 6, 1, 4, 4, 5, 5, 3, 5, 3, 4, 4, 1, 5, 3, 4, 6, 5, 4, 3, 2, 3, 2, 3, 5, 4, 6, 6, 4, 5, 5, 3, 3, 4, 6, 3, 4, 6, 2, 3, 6, 4, 4, 5, 3, 5, 5, 8, 6, 1, 5, 6, 5, 6, 6, 3, 6, 2, 1, 6, 7, 7, 4, 6, 5, 6, 5, 5, 2, 3, 5, 4, 5, 3, 3, 5, 3, 4, 4, 3, 7, 3, 5, 3, 4, 4, 1, 6, 7, 9, 4, 4, 5, 3, 3, 2, 5, 4, 3, 5, 5, 2, 5, 5, 3, 6, 5, 7, 4, 3, 6, 6, 5, 4, 4, 5, 7, 1, 6, 3, 3, 5, 2, 4, 2, 4, 4, 5, 5, 4, 4, 7, 6, 2, 5, 4, 8, 4, 3, 3, 6, 5, 5, 6, 6, 3, 4, 7, 5, 5, 6, 4, 5, 4, -1 2, 3, 6, 4, 3, 4, 3, 4, 4, 6, 5, 3, 5, 6, 7, 4, 2, 6, 1, 4, 6, 5, 5, 6, 5, 5, 4, 4, 2, 5, 6, 6, 5, 3, 5, 5, 2, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 6, 6, 4, 5, 5, 5, 5, 9, 6, 5, 3, 4, 3, 3, 6, 3, 4, 4, 6, 4, 2, 4, 4, 3, 4, 6, 5, 6, 2, 5, 4, 5, 4, 0, 3, 4, 5, 5, 5, 3, 5, 2, 4, 6, 6, 3, 6, 5, 4, 4, 4, 5, 6, 6, 6, 4, 3, 5, 4, 6, 3, 6, 3, 5, 5, 5, 6, 4, 4, 5, 6, 4, 4, 5, 4, 8, 5, 6, 3, 5, 5, 6, 6, 4, 6, 6, 3, 4, 4, 5, 5, 6, 4, 6, 6, 5, 1, 5, 4, 4, 3, 6, 6, 5, 5, 4, 5, 4, 5, 4, 6, 5, 5, 5, 3, 6, 5, 5, 4, 5, 3, 4, 4, 7, 3, 7, 2, 6, 5, 5, 4, 4, 3, 4, 5, 3, 4, 3, 5, 3, 3, 4, 5, 5, 5, 3, 8, 7, 4, 5, 3, 4, 5, 5, 3, 6, 6, 3, 7, 5, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 7, 5, 4, 5, 7, 3, 4, 4, 5, 5, 6, 5, 3, 5, 3, 4, 7, 3, 5, 6, 3, 5, 5, 4, 7, 4, 2, 7, 6, 5, 5, 7, 6, 5, 4, 3, 4, 5, 4, 5, 6, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 6, 5, 1, 3, 4, 4, 3, 5, 1, 3, 4, 6, 5, 4, 4, 5, 2, 3, 3, 4, 5, 6, 4, 9, 2, 5, 3, 6, 4, 4, 8, 5, 5, 5, 4, 4, 6, 2, 6, 5, 3, 4, 4, 3, 6, 3, 4, 2, 4, 1, 3, 5, 6, 5, 6, 5, 2, 3, 3, 5, 4, 5, 5, 5, 5, 4, 3, 6, 2, 3, 4, 5, 6, 5, 3, 8, 5, 4, 5, 5, 3, 4, 6, 4, 4, 5, 5, 3, 6, 2, 5, 4, 5, 7, 3, 4, 0, 5, 5, 1, 4, 4, 5, 5, 5, 3, 6, 6, 3, 5, 4, 1, 3, 5, 5, 5, 4, 6, 6, 4, 3, 1, 5, 2, 7, 3, 5, 3, 8, 4, 2, 6, 6, 5, 3, 6, 4, 4, 5, 3, 4, 2, 3, 6, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 1, 4, 3, 4, 4, 4, 3, 4, 4, 6, 5, 3, 6, 7, 5, 2, 3, 4, 4, 3, 1, 6, 2, 4, 6, 2, 3, 1, 6, 5, 5, 1, 3, 6, 8, 3, 6, 3, 4, 5, 6, 5, 0, 8, 6, 3, 3, 4, 4, 5, 2, 6, 5, 5, 5, 5, 4, 5, 4, 3, 6, 6, 6, 2, 6, 5, 4, 6, 6, 6, 4, 1 3, 4, 4, 4, 3, 3, 2, 3, 4, 4, 5, 3, 5, 3, 3, 5, 4, 7, 3, 3, 4, 4, 6, 6, 6, 4, 7, 3, 4, 2, 3, 6, 3, 7, 5, 4, 5, 3, 4, 5, 7, 5, 4, 5, 3, 4, 3, 5, 3, 3, 6, 3, 3, 6, 3, 6, 4, 3, 3, 2, 4, 2, 6, 3, 6, 6, 3, 5, 5, 6, 5, 4, 4, 5, 5, 4, 4, 6, 7, 4, 3, 4, 4, 3, 2, 4, 6, 4, 5, 4, 7, 4, 6, 2, 5, 5, 6, 5, 3, 4, 5, 4, 5, 3, 5, 3, 7, 2, 6, 5, 7, 5, 3, 6, 6, 4, 4, 2, 6, 4, 6, 5, 4, 5, 5, 3, 5, 8, 3, 7, 3, 4, 4, 6, 5, 5, 6, 5, 5, 4, 6, 5, 5, 2, 5, 5, 6, 6, 3, 6, 7, 5, 4, 5, 6, 4, 4, 3, 3, 4, 5, 7, 2, 4, 5, 5, 4, 4, 6, 4, 6, 6, 4, 4, 4, 6, 5, 4, 4, 4, 7, 5, 5, 5, 3, 5, 5, 4, 6, 6, 6, 3, 4, 4, 4, 5, 4, 8, 4, 4, 7, 5, 4, 3, 2, 4, 5, 3, 4, 4, 3, 7, 2, 6, 6, 5, 3, 6, 3, 4, 3, 4, 4, 6, 5, 2, 6, 5, 6, 6, 5, 1, 3, 4, 2, 2, 7, 3, 4, 7, 5, 4, 2, 3, 3, 3, 6, 4, 3, 3, 5, 6, 4, 3, 2, 5, 6, 3, 6, 4, 6, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 6, 4, 3, 4, 4, 7, 1, 6, 7, 3, 5, 5, 4, 4, 3, 7, 3, 2, 5, 5, 4, 1, 4, 4, 7, 4, 4, 4, 5, 3, 4, 5, 2, 6, 7, 5, 5, 5, 5, 5, 6, 2, 5, 3, 5, 3, 6, 4, 3, 6, 3, 7, 3, 4, 4, 5, 3, 4, 3, 8, 5, 2, 5, 2, 6, 6, 5, 5, 2, 4, 2, 8, 5, 5, 3, 5, 6, 5, 4, 6, 3, 5, 6, 4, 6, 3, 7, 8, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 2, 6, 8, 6, 4, 6, 7, 3, 3, 3, 3, 3, 4, 5, 8, 4, 7, 2, 4, 8, 4, 6, 5, 3, 7, 5, 4, 6, 6, 5, 4, 3, 4, 5, 3, 5, 6, 3, 4, 5, 6, 3, 2, 3, 5, 4, 7, 4, 4, 4, 4, 9, 7, 2, 5, 3, 2, 5, 6, 5, 5, 3, 5, 5, 5, 3, 2, 5, 3, 3, 3, 5, 6, 3, 5, 4, 6, 5, 4, 5, 3, 5, 5, 1, 6, 5, 3, 4, 3, 4, 1, 3, 5, 5, 6, 4, 5, 4, 6, 4, 3, 5, 6, 2, 3, 7, 3, 4, 5, 5, 5, 5, 5, 5, 4, 6, 5, 4, 4, 4, 5, 3, 5, 5, 6, 2, 3, 4, 5, -1 5, 4, 5, 4, 3, 4, 5, 6, 4, 4, 3, 1, 6, 4, 5, 2, 5, 4, 3, 7, 8, 8, 4, 4, 5, 4, 2, 4, 5, 3, 4, 7, 3, 4, 6, 7, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 6, 7, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 6, 3, 6, 6, 5, 4, 5, 5, 4, 4, 2, 7, 5, 5, 5, 6, 1, 6, 7, 5, 4, 4, 5, 4, 4, 5, 4, 4, 2, 4, 8, 4, 4, 4, 2, 4, 6, 6, 2, 5, 5, 4, 3, 6, 7, 5, 3, 3, 6, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 6, 4, 6, 3, 6, 5, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 4, 1, 3, 4, 2, 3, 5, 4, 4, 6, 6, 3, 4, 6, 2, 7, 5, 6, 4, 4, 4, 2, 5, 6, 4, 4, 7, 6, 3, 7, 4, 2, 4, 5, 7, 6, 5, 6, 8, 3, 4, 5, 5, 3, 6, 4, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 6, 3, 5, 4, 4, 6, 8, 2, 4, 3, 3, 5, 3, 5, 2, 3, 4, 3, 6, 4, 4, 6, 4, 5, 3, 5, 3, 5, 5, 8, 6, 4, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 2, 2, 4, 4, 1, 7, 4, 2, 6, 4, 5, 4, 4, 5, 6, 5, 4, 4, 2, 5, 5, 5, 4, 4, 6, 6, 4, 4, 5, 6, 7, 3, 3, 3, 6, 2, 4, 3, 5, 6, 5, 3, 3, 4, 4, 7, 6, 5, 6, 3, 4, 3, 4, 5, 3, 6, 8, 4, 6, 4, 3, 6, 4, 5, 0, 4, 4, 5, 3, 4, 6, 2, 6, 5, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 6, 3, 4, 5, 6, 4, 5, 4, 6, 6, 5, 3, 4, 5, 6, 7, 3, 4, 5, 5, 5, 6, 3, 4, 3, 4, 1, 2, 5, 7, 5, 5, 5, 3, 5, 5, 3, 5, 5, 4, 6, 4, 5, 5, 4, 5, 6, 5, 7, 4, 3, 4, 3, 5, 4, 6, 3, 2, 4, 5, 5, 5, 4, 3, 6, 5, 4, 4, 6, 4, 4, 6, 7, 6, 5, 1, 7, 6, 3, 8, 5, 3, 4, 3, 4, 6, 1, 4, 5, 4, 6, 5, 6, 7, 3, 8, 4, 4, 5, 4, 5, 2, 5, 2, 7, 6, 6, 3, 5, 4, 3, 1, 5, 5, 5, 7, 5, 3, 3, 4, 6, 5, 5, 4, 6, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 7, 3, 5, 4, 4, 3, 4, 5, 6, 5, 3, 2, 5, 7, 4, 6, 5, 4, 3, 3, 4, 2, 3, 5, 3, 5, 4, 3, 3, 5, 3, 1 4, 3, 6, 6, 2, 4, 6, 5, 3, 2, 6, 5, 6, 5, 7, 7, 7, 6, 4, 4, 5, 2, 6, 5, 4, 2, 5, 7, 7, 3, 6, 2, 3, 1, 5, 3, 3, 2, 3, 5, 4, 0, 5, 2, 5, 7, 1, 2, 6, 3, 4, 6, 6, 3, 5, 4, 7, 3, 3, 7, 6, 3, 3, 5, 6, 4, 5, 6, 5, 7, 4, 6, 4, 4, 3, 2, 3, 5, 8, 3, 4, 3, 4, 4, 3, 5, 4, 5, 3, 5, 2, 3, 6, 1, 7, 5, 3, 5, 2, 3, 4, 3, 3, 2, 5, 5, 5, 3, 6, 8, 2, 6, 5, 3, 6, 7, 7, 3, 5, 3, 4, 4, 3, 4, 6, 2, 5, 6, 6, 8, 3, 4, 7, 6, 2, 4, 4, 4, 3, 4, 2, 2, 5, 3, 5, 5, 4, 1, 7, 3, 4, 5, 6, 4, 7, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 1, 8, 6, 3, 2, 3, 5, 5, 6, 4, 6, 6, 5, 4, 4, 6, 5, 0, 6, 5, 5, 5, 5, 5, 5, 6, 6, 3, 4, 5, 3, 3, 4, 3, 6, 4, 5, 7, 3, 2, 6, 3, 5, 5, 2, 4, 3, 3, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 6, 4, 6, 5, 5, 4, 6, 4, 3, 4, 6, 6, 4, 5, 3, 4, 5, 4, 4, 6, 7, 5, 3, 4, 4, 3, 2, 3, 9, 6, 5, 3, 4, 4, 6, 6, 5, 5, 7, 4, 6, 5, 5, 5, 5, 5, 2, 5, 3, 4, 5, 6, 2, 7, 4, 7, 4, 1, 4, 5, 4, 5, 4, 4, 4, 5, 5, 6, 5, 5, 3, 6, 3, 4, 4, 5, 6, 5, 4, 6, 6, 4, 5, 5, 7, 5, 6, 0, 5, 5, 5, 5, 4, 6, 4, 7, 4, 5, 3, 4, 2, 2, 4, 6, 2, 7, 4, 2, 5, 4, 3, 3, 8, 5, 6, 4, 5, 2, 5, 4, 7, 6, 5, 4, 4, 8, 4, 2, 4, 3, 3, 3, 6, 3, 4, 4, 5, 5, 4, 4, 5, 7, 3, 4, 5, 6, 5, 4, 5, 1, 5, 6, 4, 5, 5, 6, 3, 4, 4, 4, 3, 4, 6, 3, 2, 3, 5, 6, 7, 3, 5, 3, 4, 6, 4, 6, 4, 5, 4, 6, 4, 5, 3, 4, 4, 4, 5, 3, 4, 5, 5, 6, 5, 6, 4, 1, 4, 7, 4, 3, 2, 4, 4, 6, 2, 4, 4, 3, 5, 6, 4, 4, 5, 4, 5, 5, 4, 7, 3, 3, 5, 3, 4, 6, 4, 4, 3, 5, 7, 3, 5, 6, 5, 3, 6, 5, 4, 4, 2, 4, 3, 6, 5, 4, 5, 5, 5, 6, 4, 3, 4, 5, 4, 5, 4, 5, 3, 6, 2, 2, 6, 4, 7, 2, 4, 4, 2, 5, 6, 4, 4, 2, 5, 5, 3, 5, 5, -1 4, 3, 6, 4, 6, 4, 2, 4, 5, 5, 1, 7, 4, 3, 4, 4, 8, 5, 4, 8, 3, 3, 6, 5, 2, 7, 2, 5, 2, 4, 5, 5, 4, 8, 6, 4, 6, 7, 3, 3, 5, 5, 2, 4, 5, 4, 3, 7, 6, 6, 5, 4, 4, 2, 4, 4, 6, 4, 4, 5, 6, 3, 3, 7, 5, 6, 4, 6, 4, 5, 6, 6, 3, 4, 6, 4, 2, 3, 6, 4, 4, 5, 5, 6, 5, 5, 2, 6, 3, 2, 2, 6, 3, 6, 5, 5, 3, 5, 4, 6, 1, 3, 6, 4, 3, 5, 7, 3, 4, 6, 5, 5, 5, 5, 4, 7, 7, 5, 6, 3, 4, 5, 3, 4, 4, 4, 5, 4, 5, 6, 8, 5, 5, 5, 5, 3, 3, 4, 5, 6, 3, 3, 1, 4, 4, 3, 3, 2, 3, 7, 4, 2, 6, 5, 8, 5, 4, 5, 5, 6, 4, 2, 4, 5, 4, 3, 6, 5, 4, 2, 5, 5, 3, 4, 6, 4, 6, 3, 5, 6, 4, 6, 3, 5, 6, 3, 6, 3, 3, 5, 4, 4, 0, 7, 4, 4, 3, 4, 5, 8, 7, 4, 4, 2, 4, 2, 4, 2, 5, 5, 5, 5, 4, 7, 4, 5, 3, 1, 3, 3, 4, 2, 5, 4, 3, 3, 4, 5, 4, 5, 4, 3, 1, 4, 5, 3, 3, 2, 7, 4, 3, 3, 6, 5, 4, 7, 6, 1, 4, 9, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 6, 4, 5, 4, 4, 4, 6, 5, 2, 5, 5, 5, 6, 4, 4, 4, 9, 5, 4, 8, 4, 4, 6, 3, 2, 2, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 3, 5, 4, 3, 2, 5, 8, 4, 5, 4, 6, 3, 5, 5, 3, 3, 4, 5, 1, 8, 6, 2, 5, 5, 4, 5, 6, 6, 3, 4, 3, 4, 4, 5, 4, 4, 1, 6, 5, 5, 4, 6, 7, 5, 4, 6, 4, 2, 3, 5, 8, 2, 6, 4, 6, 5, 5, 4, 7, 6, 4, 6, 6, 7, 5, 5, 3, 4, 5, 5, 2, 3, 6, 8, 5, 3, 7, 7, 6, 3, 4, 6, 4, 5, 4, 3, 5, 4, 3, 3, 5, 2, 4, 4, 7, 9, 3, 3, 5, 6, 4, 5, 5, 7, 6, 5, 5, 3, 6, 8, 5, 5, 6, 5, 6, 4, 3, 4, 3, 6, 4, 2, 3, 6, 5, 4, 4, 3, 6, 5, 3, 6, 4, 5, 3, 3, 5, 6, 4, 4, 5, 4, 5, 4, 4, 8, 6, 4, 2, 7, 6, 4, 6, 4, 2, 6, 7, 3, 3, 4, 3, 2, 3, 6, 3, 5, 5, 3, 3, 4, 3, 5, 5, 3, 3, 7, 4, 5, 3, 5, 4, 1, 3, 4, 3, 5, 4, 5, 7, 8, 6, 4, 1, 6, 4, 1, 6, 5, 5, 3, 2, 3, 6, -1 2, 0, 2, 3, 4, 6, 3, 5, 5, 4, 6, 4, 5, 4, 5, 6, 8, 6, 5, 9, 5, 6, 5, 6, 6, 3, 3, 4, 9, 3, 6, 4, 4, 7, 4, 6, 3, 2, 4, 5, 4, 2, 6, 3, 3, 6, 7, 3, 7, 5, 5, 4, 4, 4, 5, 4, 6, 2, 4, 3, 4, 5, 3, 5, 4, 6, 4, 6, 5, 5, 4, 8, 3, 3, 4, 5, 4, 6, 3, 4, 4, 5, 3, 4, 4, 5, 4, 6, 3, 5, 7, 4, 3, 6, 1, 3, 4, 3, 6, 2, 3, 4, 4, 3, 3, 6, 5, 7, 1, 4, 5, 6, 4, 5, 6, 4, 4, 3, 7, 4, 4, 4, 6, 6, 6, 3, 6, 4, 6, 4, 5, 3, 4, 4, 7, 6, 6, 5, 3, 4, 3, 2, 5, 4, 6, 5, 4, 6, 5, 5, 5, 4, 6, 2, 5, 3, 3, 5, 5, 3, 6, 6, 5, 7, 4, 4, 8, 3, 6, 3, 6, 5, 5, 8, 6, 7, 5, 4, 7, 3, 6, 3, 4, 6, 3, 4, 4, 5, 3, 5, 5, 6, 3, 5, 4, 5, 2, 4, 4, 5, 4, 6, 4, 5, 5, 3, 3, 3, 5, 5, 3, 2, 5, 1, 6, 6, 3, 6, 4, 4, 5, 3, 4, 4, 5, 5, 6, 5, 6, 5, 6, 4, 4, 6, 3, 5, 3, 2, 7, 6, 5, 7, 3, 4, 3, 5, 6, 4, 1, 5, 4, 1, 4, 2, 3, 4, 5, 4, 6, 3, 3, 5, 4, 5, 6, 5, 7, 3, 2, 2, 5, 2, 7, 2, 3, 5, 4, 1, 6, 4, 2, 2, 5, 3, 4, 3, 5, 4, 4, 5, 6, 4, 3, 4, 3, 2, 5, 4, 5, 4, 6, 2, 8, 4, 3, 4, 3, 6, 6, 6, 4, 7, 6, 5, 5, 6, 7, 6, 9, 6, 3, 4, 2, 3, 5, 6, 7, 4, 5, 4, 3, 4, 2, 6, 6, 4, 3, 4, 4, 4, 5, 6, 2, 3, 6, 3, 3, 5, 2, 6, 5, 7, 5, 7, 3, 5, 7, 3, 4, 3, 6, 5, 3, 4, 4, 5, 4, 3, 6, 5, 4, 5, 3, 6, 3, 5, 8, 5, 7, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 6, 7, 5, 4, 5, 4, 3, 4, 3, 4, 5, 6, 7, 5, 4, 5, 6, 5, 6, 5, 3, 3, 4, 3, 5, 4, 8, 7, 5, 1, 7, 4, 7, 4, 6, 4, 5, 5, 4, 5, 4, 3, 2, 5, 5, 6, 7, 3, 6, 4, 3, 1, 2, 3, 4, 7, 4, 5, 6, 5, 9, 5, 1, 5, 7, 7, 3, 3, 5, 2, 5, 3, 3, 6, 5, 8, 5, 4, 4, 5, 5, 1, 4, 3, 7, 6, 4, 4, 5, 6, 4, 3, 3, 6, 5, 4, 5, 2, 4, 4, 5, 4, 1, 4, 3, 4, 5, 5, 4, 1 2, 3, 4, 3, 6, 6, 1, 5, 3, 5, 5, 6, 2, 3, 5, 4, 6, 3, 2, 2, 7, 5, 5, 4, 6, 5, 6, 3, 2, 2, 6, 6, 3, 4, 6, 4, 4, 5, 4, 7, 3, 4, 5, 3, 3, 5, 2, 4, 3, 5, 3, 5, 4, 5, 3, 6, 5, 3, 5, 2, 4, 4, 4, 5, 6, 3, 4, 4, 4, 3, 4, 4, 6, 4, 3, 2, 7, 6, 4, 3, 3, 6, 5, 3, 2, 4, 4, 5, 4, 3, 4, 5, 7, 4, 4, 4, 4, 5, 3, 4, 0, 5, 5, 6, 5, 1, 3, 5, 8, 3, 4, 3, 4, 6, 2, 4, 5, 4, 5, 3, 4, 6, 7, 7, 5, 5, 4, 5, 2, 2, 4, 3, 7, 5, 5, 5, 6, 6, 4, 4, 3, 4, 7, 4, 4, 3, 3, 5, 3, 4, 6, 4, 4, 3, 5, 4, 6, 5, 1, 3, 4, 2, 8, 7, 4, 5, 7, 2, 8, 5, 5, 4, 5, 3, 5, 5, 5, 3, 3, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 6, 4, 4, 5, 5, 6, 3, 5, 5, 4, 6, 4, 6, 6, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 5, 5, 6, 7, 5, 2, 4, 5, 8, 6, 4, 2, 5, 5, 1, 2, 4, 2, 6, 4, 3, 4, 5, 2, 6, 5, 4, 5, 7, 5, 4, 5, 3, 4, 3, 4, 3, 4, 7, 5, 6, 6, 5, 5, 4, 5, 2, 5, 5, 4, 4, 1, 5, 4, 3, 4, 2, 3, 7, 2, 6, 3, 4, 3, 3, 4, 7, 2, 4, 2, 3, 3, 5, 4, 6, 4, 3, 3, 3, 4, 6, 7, 2, 5, 4, 4, 6, 6, 4, 7, 7, 6, 4, 6, 5, 3, 8, 5, 2, 5, 6, 4, 4, 3, 2, 3, 4, 3, 4, 3, 7, 3, 8, 3, 5, 5, 6, 3, 7, 5, 4, 4, 4, 3, 6, 5, 4, 4, 7, 4, 4, 7, 4, 3, 7, 5, 6, 6, 7, 7, 5, 5, 5, 6, 5, 6, 5, 4, 6, 4, 4, 4, 3, 7, 3, 5, 2, 6, 3, 4, 3, 5, 5, 5, 3, 3, 5, 3, 2, 4, 3, 7, 2, 2, 4, 3, 5, 6, 5, 3, 1, 4, 3, 5, 5, 4, 6, 6, 4, 4, 3, 3, 5, 5, 4, 2, 5, 6, 5, 5, 6, 4, 4, 4, 3, 7, 3, 2, 2, 4, 7, 5, 4, 3, 6, 5, 4, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 3, 5, 5, 1, 2, 3, 3, 4, 7, 3, 4, 5, 4, 4, 5, 5, 4, 1, 6, 4, 5, 5, 5, 6, 4, 6, 5, 6, 4, 2, 4, 3, 5, 3, 5, 6, 6, 4, 6, 4, 4, 3, 5, 6, 4, 5, 2, 3, 2, 5, 6, 6, 4, 1 7, 3, 4, 4, 5, 4, 6, 5, 5, 2, 3, 4, 6, 2, 3, 4, 5, 2, 5, 6, 4, 4, 3, 4, 3, 4, 1, 4, 6, 5, 3, 1, 4, 5, 6, 5, 4, 4, 5, 2, 5, 5, 4, 5, 4, 5, 3, 5, 8, 6, 5, 5, 3, 3, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 6, 4, 3, 4, 5, 4, 2, 5, 4, 6, 4, 5, 5, 4, 3, 7, 2, 3, 6, 4, 3, 6, 5, 4, 6, 5, 7, 4, 4, 4, 6, 6, 4, 4, 3, 5, 2, 6, 6, 5, 5, 7, 6, 2, 6, 4, 3, 5, 5, 6, 4, 4, 6, 5, 7, 5, 6, 5, 3, 5, 3, 3, 5, 6, 8, 6, 4, 2, 5, 5, 6, 2, 4, 5, 6, 4, 4, 5, 5, 4, 6, 5, 7, 4, 5, 6, 6, 2, 3, 7, 5, 3, 9, 5, 6, 4, 8, 3, 5, 7, 2, 2, 5, 2, 2, 5, 4, 4, 6, 3, 5, 4, 6, 6, 4, 4, 3, 5, 4, 6, 2, 2, 8, 5, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 4, 6, 6, 5, 6, 6, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 5, 7, 4, 5, 7, 3, 4, 6, 4, 5, 2, 3, 6, 6, 4, 4, 5, 4, 3, 5, 3, 4, 6, 6, 3, 6, 2, 5, 4, 6, 3, 4, 6, 6, 3, 3, 5, 4, 3, 3, 5, 6, 4, 5, 3, 7, 6, 3, 3, 5, 6, 5, 5, 4, 6, 7, 2, 5, 4, 7, 3, 4, 6, 3, 6, 7, 7, 2, 3, 7, 5, 3, 4, 4, 7, 4, 4, 4, 5, 5, 2, 4, 6, 4, 6, 8, 3, 8, 4, 5, 4, 4, 5, 4, 5, 4, 6, 3, 4, 8, 2, 7, 5, 3, 4, 2, 6, 3, 5, 5, 5, 5, 4, 5, 4, 2, 6, 4, 3, 5, 6, 3, 6, 3, 7, 2, 3, 5, 3, 4, 4, 6, 2, 6, 2, 5, 5, 2, 5, 5, 6, 4, 4, 6, 3, 5, 4, 5, 2, 6, 2, 3, 7, 3, 3, 4, 7, 3, 4, 3, 5, 9, 4, 4, 5, 6, 3, 3, 6, 3, 4, 7, 3, 5, 3, 3, 1, 5, 8, 4, 4, 3, 5, 6, 3, 6, 2, 3, 5, 4, 7, 5, 6, 4, 3, 6, 4, 2, 2, 6, 1, 4, 2, 4, 5, 4, 4, 3, 2, 3, 6, 3, 3, 7, 3, 5, 7, 5, 4, 7, 6, 3, 5, 4, 3, 4, 4, 6, 4, 6, 5, 6, 5, 5, 6, 5, 8, 4, 3, 4, 5, 3, 5, 4, 5, 1, 4, 6, 6, 7, 3, 5, 4, 3, 6, 4, 5, 5, 2, 5, 6, 5, 5, 5, 4, 4, 3, 4, 4, 6, 5, 3, 4, 5, 4, 3, 6, 4, 3, 4, 2, 7, 4, -1 3, 5, 4, 4, 2, 6, 4, 6, 2, 5, 4, 4, 4, 3, 3, 3, 4, 6, 5, 7, 6, 4, 4, 6, 5, 7, 4, 2, 2, 3, 4, 5, 3, 5, 7, 2, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 6, 7, 1, 6, 5, 5, 7, 1, 3, 6, 5, 3, 3, 7, 3, 5, 4, 5, 9, 5, 6, 8, 6, 7, 2, 5, 4, 3, 4, 2, 2, 5, 4, 6, 4, 5, 3, 4, 3, 1, 4, 2, 5, 5, 4, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 3, 5, 4, 0, 5, 4, 3, 3, 4, 6, 5, 6, 7, 4, 6, 5, 7, 2, 1, 2, 6, 2, 4, 7, 4, 6, 0, 5, 0, 5, 6, 3, 6, 4, 4, 6, 3, 5, 4, 4, 7, 2, 4, 4, 3, 6, 5, 3, 2, 3, 5, 6, 3, 5, 5, 6, 4, 5, 6, 5, 5, 4, 3, 3, 5, 4, 2, 5, 5, 5, 6, 6, 2, 6, 5, 4, 7, 0, 7, 3, 4, 4, 4, 5, 4, 5, 4, 5, 6, 5, 5, 5, 4, 4, 3, 4, 7, 2, 4, 3, 3, 4, 3, 6, 5, 3, 3, 5, 5, 4, 1, 5, 4, 3, 5, 4, 2, 5, 4, 4, 1, 4, 7, 4, 6, 3, 6, 5, 5, 3, 3, 5, 5, 3, 5, 6, 6, 3, 6, 2, 4, 4, 4, 5, 7, 2, 4, 3, 4, 5, 6, 4, 1, 3, 3, 5, 4, 3, 4, 7, 5, 6, 5, 4, 6, 4, 3, 5, 3, 2, 5, 2, 5, 3, 9, 0, 5, 4, 4, 6, 6, 6, 8, 4, 4, 5, 4, 5, 7, 4, 5, 4, 5, 2, 5, 3, 3, 4, 4, 6, 4, 2, 5, 5, 4, 5, 3, 5, 3, 5, 4, 3, 2, 3, 4, 4, 2, 7, 5, 7, 3, 4, 5, 5, 7, 2, 5, 6, 4, 4, 5, 5, 3, 5, 9, 4, 6, 6, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 5, 6, 5, 2, 4, 5, 5, 4, 4, 8, 5, 5, 3, 3, 3, 6, 4, 5, 3, 4, 4, 1, 5, 1, 5, 3, 3, 3, 6, 4, 4, 3, 5, 4, 5, 3, 6, 2, 6, 3, 4, 4, 3, 5, 4, 4, 5, 5, 6, 8, 6, 4, 5, 5, 2, 3, 4, 5, 5, 4, 7, 4, 2, 2, 4, 1, 7, 3, 4, 5, 3, 5, 4, 4, 6, 4, 6, 2, 4, 5, 6, 5, 5, 8, 6, 6, 2, 4, 4, 6, 6, 3, 0, 4, 1, 3, 5, 2, 8, 5, 4, 6, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 1, 3, 6, 6, 6, 1, 0, 7, 3, 4, 6, 4, 6, 7, 5, 3, 4, 3, 2, 4, 5, 3, 4, 5, 5, 6, 2, 4, 5, 5, -1 2, 4, 2, 5, 5, 5, 8, 7, 5, 2, 3, 2, 5, 3, 8, 6, 6, 6, 4, 4, 4, 6, 4, 5, 5, 1, 4, 4, 5, 5, 4, 3, 4, 5, 6, 4, 5, 5, 5, 4, 3, 5, 6, 2, 6, 3, 4, 4, 4, 5, 4, 5, 6, 4, 5, 4, 6, 4, 3, 6, 6, 3, 1, 3, 4, 3, 3, 3, 1, 2, 6, 4, 5, 4, 4, 7, 4, 6, 5, 5, 4, 3, 4, 5, 5, 4, 7, 3, 6, 4, 7, 3, 5, 2, 4, 3, 5, 7, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 6, 3, 2, 3, 7, 4, 5, 5, 4, 4, 7, 6, 5, 4, 5, 4, 5, 5, 2, 7, 6, 6, 5, 5, 3, 4, 6, 6, 5, 5, 6, 2, 5, 4, 6, 3, 4, 6, 3, 6, 5, 4, 5, 5, 5, 4, 6, 3, 3, 3, 6, 6, 7, 6, 3, 4, 4, 2, 3, 6, 3, 6, 4, 3, 5, 6, 4, 6, 5, 7, 4, 2, 3, 2, 4, 7, 2, 5, 6, 5, 6, 5, 4, 4, 2, 5, 3, 6, 2, 4, 4, 3, 6, 6, 7, 9, 5, 4, 5, 4, 4, 2, 5, 7, 4, 6, 4, 4, 5, 5, 5, 3, 6, 6, 5, 4, 5, 5, 4, 5, 8, 3, 3, 3, 5, 4, 8, 5, 6, 3, 5, 4, 5, 4, 5, 6, 2, 3, 6, 3, 6, 6, 6, 7, 4, 3, 7, 3, 3, 6, 4, 5, 5, 3, 6, 3, 5, 3, 4, 6, 0, 5, 3, 6, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 5, 5, 6, 4, 5, 3, 4, 1, 9, 8, 5, 2, 4, 5, 6, 2, 5, 6, 3, 7, 4, 4, 5, 5, 4, 8, 6, 2, 4, 6, 7, 2, 2, 5, 3, 6, 5, 3, 4, 7, 5, 6, 4, 4, 4, 5, 2, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 3, 2, 7, 3, 7, 3, 4, 5, 4, 4, 4, 5, 3, 1, 3, 4, 6, 3, 5, 2, 5, 7, 4, 5, 6, 3, 4, 3, 4, 5, 4, 3, 5, 2, 5, 6, 5, 4, 5, 4, 4, 5, 5, 6, 5, 6, 4, 2, 6, 5, 5, 5, 5, 5, 4, 6, 4, 5, 4, 5, 5, 3, 5, 5, 4, 7, 4, 7, 5, 4, 6, 2, 2, 4, 4, 6, 3, 2, 4, 4, 3, 5, 4, 5, 7, 4, 7, 4, 2, 4, 4, 6, 4, 4, 4, 6, 5, 5, 1, 6, 2, 4, 3, 6, 3, 6, 6, 4, 5, 6, 7, 7, 5, 5, 6, 5, 3, 3, 7, 3, 7, 5, 7, 3, 5, 3, 3, 6, 4, 6, 5, 4, 3, 6, 4, 4, 3, 5, 8, 5, 4, 7, 4, 4, 3, 6, 4, 6, 4, 5, 2, 4, 3, 5, 5, 4, 5, 5, 2, 3, 4, -1 4, 1, 5, 3, 5, 2, 6, 5, 2, 4, 6, 4, 3, 5, 5, 4, 2, 5, 4, 5, 6, 5, 4, 5, 3, 7, 5, 2, 3, 4, 6, 6, 2, 2, 4, 2, 5, 7, 5, 4, 5, 5, 4, 6, 4, 4, 4, 4, 3, 5, 5, 4, 3, 3, 2, 6, 6, 4, 4, 4, 6, 2, 3, 4, 4, 6, 4, 5, 4, 6, 5, 4, 6, 2, 8, 4, 3, 4, 4, 0, 3, 4, 3, 5, 5, 4, 4, 4, 4, 5, 7, 3, 2, 3, 5, 3, 5, 7, 2, 4, 3, 7, 4, 2, 5, 4, 5, 6, 5, 6, 1, 5, 4, 6, 5, 4, 4, 4, 6, 4, 0, 4, 4, 3, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 2, 5, 4, 4, 5, 3, 6, 3, 0, 3, 4, 4, 8, 4, 5, 4, 3, 6, 3, 5, 3, 2, 5, 4, 3, 5, 5, 6, 4, 2, 5, 5, 4, 2, 6, 5, 5, 5, 4, 3, 6, 4, 6, 3, 9, 3, 4, 3, 5, 5, 4, 5, 5, 5, 3, 6, 3, 2, 3, 7, 5, 3, 6, 5, 5, 6, 4, 4, 7, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 8, 4, 4, 6, 5, 3, 4, 4, 4, 7, 3, 4, 4, 4, 5, 4, 4, 8, 2, 7, 5, 4, 3, 6, 3, 4, 6, 6, 2, 7, 6, 4, 4, 5, 6, 4, 3, 6, 6, 4, 6, 4, 4, 5, 4, 4, 5, 5, 3, 6, 2, 4, 5, 2, 9, 6, 3, 3, 2, 2, 6, 5, 5, 3, 3, 7, 5, 5, 6, 4, 4, 7, 4, 5, 6, 2, 2, 5, 6, 5, 4, 6, 7, 4, 5, 5, 3, 6, 5, 5, 5, 4, 5, 4, 5, 4, 3, 3, 4, 5, 3, 3, 3, 5, 9, 4, 4, 2, 3, 4, 6, 1, 4, 5, 4, 2, 4, 5, 5, 4, 4, 6, 6, 7, 4, 5, 3, 5, 4, 4, 4, 2, 3, 5, 1, 4, 4, 4, 3, 5, 6, 2, 3, 4, 4, 5, 4, 4, 4, 3, 6, 4, 3, 4, 3, 5, 7, 5, 5, 4, 4, 3, 3, 2, 3, 5, 5, 8, 5, 3, 4, 6, 6, 2, 6, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 2, 1, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 1, 5, 4, 7, 5, 4, 5, 4, 4, 5, 5, 5, 6, 3, 4, 5, 4, 6, 3, 6, 0, 2, 4, 5, 5, 6, 4, 8, 3, 3, 4, 5, 4, 3, 6, 5, 3, 4, 6, 5, 3, 5, 3, 6, 3, 3, 5, 2, 3, 2, 4, 4, 3, 7, 8, 2, 5, 8, 4, 4, 3, 6, 7, 5, 4, 4, 6, 7, 1, 8, 3, 7, 1, 0, 5, 6, 2, 4, 5, 2, 4, 4, 5, 5, 4, 1 4, 5, 4, 4, 4, 6, 6, 3, 3, 3, 6, 6, 5, 3, 6, 3, 3, 4, 2, 5, 8, 6, 4, 3, 5, 5, 1, 4, 4, 5, 8, 7, 2, 3, 5, 4, 8, 7, 4, 2, 7, 3, 3, 4, 4, 7, 5, 4, 5, 3, 4, 4, 5, 5, 3, 8, 4, 3, 1, 6, 7, 4, 5, 4, 6, 5, 7, 6, 4, 6, 4, 3, 6, 5, 3, 6, 3, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 2, 5, 3, 2, 3, 5, 4, 5, 4, 2, 5, 3, 6, 3, 4, 4, 4, 3, 3, 6, 4, 3, 4, 6, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 7, 3, 5, 5, 6, 4, 8, 4, 8, 3, 2, 2, 4, 4, 7, 7, 6, 4, 4, 4, 5, 5, 4, 3, 4, 4, 2, 4, 3, 5, 4, 6, 3, 3, 5, 5, 6, 4, 4, 5, 3, 6, 4, 5, 2, 6, 6, 4, 2, 7, 4, 5, 4, 4, 5, 8, 6, 5, 3, 6, 2, 3, 4, 5, 5, 6, 6, 6, 5, 7, 6, 4, 3, 7, 4, 1, 5, 5, 6, 4, 4, 5, 3, 2, 5, 1, 6, 4, 6, 3, 5, 4, 4, 4, 5, 5, 2, 6, 2, 5, 7, 5, 5, 3, 4, 5, 5, 4, 5, 5, 2, 5, 5, 2, 2, 5, 6, 4, 5, 5, 4, 3, 1, 3, 3, 3, 7, 4, 4, 5, 5, 6, 7, 4, 4, 3, 4, 2, 4, 5, 1, 5, 5, 6, 5, 6, 2, 3, 3, 4, 6, 4, 4, 6, 2, 7, 5, 8, 5, 4, 3, 1, 7, 4, 6, 7, 6, 4, 5, 7, 6, 4, 3, 5, 5, 2, 4, 2, 5, 3, 4, 4, 4, 4, 6, 4, 3, 5, 7, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 2, 4, 4, 3, 4, 6, 6, 6, 5, 4, 7, 7, 5, 6, 4, 3, 3, 4, 1, 5, 4, 4, 4, 3, 4, 4, 3, 5, 6, 4, 4, 4, 3, 6, 5, 4, 6, 4, 4, 3, 4, 4, 5, 5, 5, 6, 4, 3, 3, 4, 5, 3, 2, 5, 5, 6, 5, 3, 7, 3, 4, 5, 4, 5, 4, 3, 7, 6, 4, 7, 5, 5, 3, 6, 4, 3, 3, 6, 3, 7, 6, 6, 5, 2, 6, 4, 5, 5, 5, 4, 4, 4, 3, 5, 8, 7, 3, 5, 5, 4, 7, 4, 6, 2, 1, 3, 2, 3, 7, 2, 3, 4, 4, 5, 5, 5, 7, 6, 4, 5, 8, 5, 6, 4, 5, 4, 0, 6, 2, 4, 4, 5, 5, 8, 3, 5, 2, 4, 6, 3, 3, 4, 4, 4, 5, 4, 4, 4, 2, 5, 4, 7, 4, 2, 2, 3, 8, 4, 4, 6, 4, 7, 3, 3, 4, 3, 6, 5, 1, 3, 6, 3, -1 5, 6, 6, 5, 6, 2, 3, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 9, 5, 5, 6, 7, 5, 1, 7, 4, 5, 4, 4, 3, 5, 6, 6, 4, 8, 5, 4, 5, 1, 5, 3, 3, 4, 5, 6, 2, 5, 2, 5, 5, 4, 6, 5, 4, 6, 5, 5, 3, 2, 7, 5, 5, 4, 7, 5, 6, 5, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 7, 5, 3, 3, 5, 4, 3, 6, 2, 5, 5, 4, 6, 5, 4, 4, 4, 7, 5, 5, 4, 3, 3, 7, 3, 3, 5, 9, 5, 4, 4, 3, 4, 5, 6, 4, 6, 6, 8, 3, 4, 4, 5, 5, 5, 5, 4, 6, 5, 5, 1, 4, 5, 5, 6, 3, 3, 4, 5, 5, 5, 2, 5, 5, 3, 4, 3, 5, 5, 5, 5, 4, 6, 5, 4, 7, 2, 4, 6, 3, 7, 6, 5, 2, 2, 4, 6, 5, 4, 7, 5, 5, 5, 3, 6, 4, 8, 5, 4, 3, 4, 4, 6, 5, 4, 4, 3, 3, 4, 3, 5, 3, 4, 6, 4, 3, 4, 5, 4, 6, 2, 3, 4, 7, 4, 2, 5, 5, 3, 3, 2, 5, 1, 3, 5, 3, 5, 4, 3, 4, 3, 5, 3, 4, 7, 3, 3, 5, 4, 7, 3, 7, 2, 6, 5, 3, 3, 1, 5, 5, 7, 8, 5, 5, 4, 2, 6, 4, 2, 3, 4, 6, 6, 4, 5, 5, 5, 7, 7, 3, 3, 4, 4, 4, 5, 4, 5, 6, 2, 4, 5, 2, 4, 4, 7, 3, 5, 5, 5, 3, 5, 6, 2, 6, 5, 3, 5, 5, 6, 3, 5, 3, 2, 5, 2, 5, 1, 5, 6, 6, 3, 4, 4, 3, 4, 5, 7, 3, 2, 4, 5, 5, 5, 5, 4, 6, 6, 6, 4, 3, 4, 7, 4, 4, 5, 4, 1, 4, 4, 6, 4, 4, 5, 4, 4, 3, 5, 4, 5, 7, 2, 2, 4, 4, 6, 4, 5, 5, 6, 1, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 7, 2, 5, 6, 3, 3, 6, 5, 2, 5, 5, 5, 2, 5, 3, 3, 5, 5, 4, 6, 6, 4, 5, 4, 4, 4, 4, 5, 3, 6, 5, 7, 5, 4, 4, 4, 4, 3, 3, 4, 6, 6, 4, 5, 4, 4, 4, 6, 3, 4, 5, 4, 5, 4, 5, 6, 5, 4, 4, 5, 6, 4, 5, 3, 7, 4, 6, 5, 5, 4, 4, 3, 7, 7, 3, 4, 6, 4, 4, 5, 4, 5, 6, 5, 3, 4, 5, 7, 4, 3, 4, 2, 4, 4, 5, 6, 5, 7, 3, 5, 9, 3, 3, 5, 4, 5, 6, 4, 6, 3, 4, 4, 4, 7, 7, 2, 6, 5, 3, 4, 5, 3, 4, 7, 2, 5, 3, 6, 5, 5, 3, 3, 5, 2, -1 4, 5, 5, 4, 3, 5, 1, 3, 4, 6, 4, 7, 4, 6, 8, 3, 4, 4, 6, 5, 6, 6, 5, 5, 5, 3, 2, 4, 2, 6, 4, 5, 4, 3, 4, 5, 2, 4, 2, 3, 6, 4, 5, 3, 7, 5, 4, 3, 5, 4, 4, 3, 3, 5, 5, 6, 5, 2, 3, 8, 6, 7, 4, 4, 5, 4, 5, 7, 4, 5, 6, 4, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 1, 7, 2, 5, 5, 5, 4, 6, 7, 4, 5, 2, 5, 4, 4, 5, 5, 3, 5, 6, 4, 5, 2, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 6, 6, 5, 4, 6, 4, 3, 5, 7, 6, 5, 2, 5, 5, 4, 5, 4, 5, 5, 2, 6, 3, 3, 4, 4, 4, 5, 2, 2, 7, 3, 5, 6, 3, 7, 6, 3, 3, 6, 4, 8, 5, 3, 6, 6, 3, 3, 6, 7, 2, 3, 3, 6, 2, 4, 3, 4, 6, 3, 3, 3, 5, 6, 6, 4, 5, 5, 7, 4, 5, 5, 6, 4, 6, 6, 5, 5, 5, 6, 5, 6, 2, 5, 6, 5, 5, 4, 7, 4, 3, 6, 4, 5, 4, 3, 5, 5, 3, 2, 6, 4, 4, 1, 5, 5, 5, 5, 4, 1, 5, 2, 3, 5, 6, 5, 3, 4, 3, 4, 3, 3, 6, 2, 5, 4, 3, 3, 3, 3, 8, 4, 4, 3, 3, 2, 4, 6, 3, 3, 3, 5, 4, 3, 4, 4, 6, 5, 8, 5, 3, 6, 5, 4, 1, 6, 4, 7, 6, 4, 3, 3, 4, 5, 5, 5, 4, 5, 7, 4, 4, 4, 5, 6, 4, 6, 4, 4, 5, 5, 6, 6, 4, 4, 5, 5, 8, 6, 2, 4, 6, 2, 7, 4, 5, 5, 5, 6, 5, 4, 4, 3, 8, 7, 2, 3, 5, 5, 7, 5, 3, 5, 6, 5, 3, 5, 4, 3, 4, 3, 5, 4, 5, 4, 5, 6, 5, 5, 5, 3, 8, 6, 6, 4, 2, 4, 7, 1, 2, 5, 5, 5, 3, 7, 6, 5, 3, 7, 6, 4, 5, 6, 5, 3, 3, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 2, 4, 4, 4, 5, 3, 7, 5, 2, 7, 5, 5, 6, 4, 4, 2, 5, 4, 6, 7, 4, 8, 6, 4, 3, 3, 4, 6, 3, 4, 5, 3, 4, 4, 2, 4, 2, 2, 4, 6, 4, 6, 5, 4, 4, 1, 1, 1, 1, 4, 6, 3, 6, 7, 6, 3, 2, 3, 5, 5, 5, 7, 5, 7, 5, 3, 5, 3, 3, 7, 5, 6, 1, 6, 7, 3, 4, 4, 2, 3, 3, 1, 4, 4, 7, 3, 5, 3, 4, 2, 4, 4, 4, 7, 4, 4, 3, 5, 5, 2, 7, 6, 4, 7, 5, 3, 4, 5, 8, 2, 3, 4, 3, 7, 7, 3, 3, 5, 5, 7, 5, 1 5, 5, 3, 5, 3, 5, 7, 4, 6, 5, 5, 6, 6, 2, 7, 3, 2, 5, 6, 4, 6, 6, 6, 7, 6, 3, 5, 3, 7, 4, 6, 5, 5, 6, 6, 3, 2, 6, 5, 4, 3, 2, 3, 3, 8, 5, 2, 4, 2, 5, 4, 5, 4, 3, 2, 2, 7, 6, 1, 3, 4, 3, 3, 3, 7, 5, 5, 5, 4, 4, 3, 4, 3, 7, 3, 3, 1, 2, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 7, 5, 4, 5, 7, 1, 5, 5, 3, 4, 6, 6, 5, 2, 4, 3, 4, 2, 3, 2, 5, 6, 6, 5, 4, 5, 7, 7, 4, 4, 6, 3, 1, 4, 3, 4, 6, 2, 6, 7, 3, 3, 4, 4, 4, 3, 1, 6, 4, 6, 2, 5, 1, 4, 4, 3, 2, 5, 6, 6, 4, 3, 6, 3, 6, 6, 7, 3, 4, 4, 7, 4, 5, 4, 4, 4, 5, 5, 5, 7, 6, 4, 4, 2, 4, 7, 6, 9, 5, 5, 4, 4, 6, 3, 2, 3, 6, 4, 3, 6, 5, 4, 5, 6, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 2, 4, 2, 6, 4, 7, 4, 4, 3, 4, 3, 4, 5, 4, 6, 6, 3, 5, 4, 6, 3, 4, 5, 4, 5, 5, 4, 4, 3, 4, 7, 4, 4, 4, 6, 6, 4, 3, 5, 3, 3, 4, 5, 3, 4, 2, 5, 4, 5, 5, 4, 5, 9, 5, 4, 2, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 6, 4, 4, 5, 4, 5, 6, 4, 3, 6, 3, 1, 4, 4, 6, 5, 7, 5, 7, 4, 4, 3, 3, 5, 4, 2, 5, 3, 4, 4, 6, 3, 6, 5, 2, 4, 5, 6, 6, 6, 7, 4, 6, 1, 4, 7, 7, 5, 9, 6, 7, 4, 4, 4, 4, 2, 6, 3, 3, 8, 4, 2, 4, 4, 7, 6, 4, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 2, 5, 6, 6, 3, 4, 5, 4, 8, 1, 8, 5, 7, 4, 4, 6, 2, 9, 4, 3, 5, 4, 2, 3, 3, 4, 6, 5, 3, 1, 4, 3, 5, 5, 2, 5, 4, 6, 4, 6, 4, 5, 5, 2, 5, 2, 5, 5, 5, 7, 3, 3, 2, 5, 4, 5, 6, 5, 5, 4, 8, 5, 3, 5, 4, 4, 3, 4, 3, 4, 1, 1, 4, 3, 4, 3, 3, 4, 6, 4, 6, 6, 3, 3, 6, 6, 4, 5, 6, 5, 6, 3, 5, 2, 3, 3, 7, 4, 2, 6, 7, 8, 7, 4, 3, 6, 7, 3, 3, 7, 3, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 6, 2, 4, 2, 3, 5, 5, 3, 3, 5, 7, 3, 5, 3, 6, 5, 4, 5, 4, 4, 6, 5, 3, 6, 5, 6, 4, 6, 3, -1 7, 4, 4, 4, 3, 3, 4, 6, 5, 4, 6, 5, 4, 5, 5, 5, 3, 4, 4, 3, 5, 6, 8, 5, 8, 3, 6, 4, 6, 6, 7, 5, 4, 8, 5, 5, 2, 5, 8, 6, 5, 2, 4, 6, 3, 5, 5, 5, 5, 4, 3, 3, 3, 2, 5, 6, 5, 4, 6, 2, 4, 5, 2, 1, 5, 4, 4, 5, 4, 5, 6, 3, 3, 4, 6, 4, 4, 5, 3, 5, 6, 5, 3, 5, 2, 2, 2, 3, 3, 6, 4, 5, 4, 5, 6, 6, 2, 3, 5, 1, 2, 6, 3, 5, 2, 5, 5, 3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 4, 4, 6, 4, 4, 4, 4, 7, 5, 6, 4, 5, 4, 4, 6, 5, 6, 5, 3, 7, 3, 3, 5, 4, 5, 3, 4, 6, 6, 7, 5, 4, 5, 5, 4, 6, 4, 7, 3, 4, 4, 5, 3, 5, 4, 7, 6, 7, 4, 5, 5, 2, 5, 3, 4, 5, 6, 5, 3, 4, 2, 5, 5, 3, 6, 4, 4, 5, 8, 3, 7, 4, 6, 3, 3, 3, 2, 3, 5, 6, 3, 5, 4, 6, 8, 4, 5, 5, 5, 4, 5, 2, 6, 6, 5, 3, 2, 4, 4, 4, 5, 6, 4, 0, 3, 3, 3, 2, 4, 4, 5, 6, 6, 6, 5, 4, 5, 4, 3, 4, 3, 2, 6, 5, 4, 4, 8, 5, 5, 3, 5, 3, 4, 6, 6, 4, 4, 3, 3, 4, 4, 4, 3, 4, 6, 5, 3, 3, 5, 4, 5, 3, 4, 3, 3, 5, 4, 4, 3, 4, 7, 6, 6, 5, 4, 3, 5, 3, 4, 7, 4, 5, 5, 4, 4, 3, 4, 5, 4, 6, 4, 4, 0, 6, 4, 3, 6, 5, 5, 5, 6, 5, 7, 4, 6, 1, 4, 4, 5, 5, 5, 6, 7, 3, 5, 3, 5, 2, 5, 5, 8, 7, 5, 5, 5, 5, 3, 7, 5, 5, 4, 5, 3, 9, 4, 6, 5, 5, 5, 3, 6, 4, 5, 3, 3, 3, 2, 4, 5, 2, 3, 4, 5, 6, 3, 3, 4, 3, 3, 3, 3, 5, 4, 4, 3, 7, 3, 8, 3, 4, 2, 5, 6, 5, 4, 4, 2, 3, 8, 3, 2, 2, 4, 5, 3, 4, 5, 2, 5, 4, 6, 6, 4, 3, 3, 3, 3, 7, 6, 7, 4, 4, 7, 3, 5, 4, 4, 4, 3, 6, 1, 4, 5, 3, 3, 3, 4, 4, 5, 6, 4, 6, 6, 4, 4, 4, 4, 2, 6, 3, 5, 5, 5, 3, 5, 4, 4, 3, 2, 4, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 4, 3, 6, 4, 6, 2, 5, 6, 3, 6, 4, 3, 4, 4, 4, 4, 7, 4, 4, 6, 4, 4, 3, 8, 4, 3, 3, 6, 6, 6, 5, 4, 6, 6, 6, 7, 4, 5, 5, 5, 2, 2, 4, 1 4, 4, 3, 5, 5, 3, 4, 6, 5, 4, 4, 4, 6, 3, 4, 5, 3, 4, 2, 4, 5, 5, 6, 3, 7, 5, 3, 6, 3, 8, 7, 1, 5, 6, 7, 5, 3, 5, 4, 3, 3, 7, 4, 4, 2, 2, 5, 2, 3, 5, 6, 5, 6, 3, 6, 4, 3, 4, 5, 4, 4, 7, 3, 6, 1, 5, 5, 6, 5, 7, 3, 6, 5, 4, 5, 6, 4, 5, 3, 4, 6, 5, 4, 5, 4, 4, 5, 3, 6, 3, 7, 5, 3, 5, 6, 4, 2, 3, 5, 4, 5, 4, 5, 5, 6, 4, 5, 5, 4, 4, 7, 5, 7, 5, 9, 5, 3, 6, 6, 1, 6, 7, 5, 5, 6, 3, 4, 6, 5, 5, 3, 4, 5, 4, 4, 2, 4, 4, 3, 5, 5, 6, 5, 5, 5, 7, 3, 5, 5, 6, 5, 5, 5, 3, 4, 5, 5, 5, 2, 2, 2, 3, 6, 5, 3, 4, 5, 1, 6, 3, 6, 6, 5, 4, 3, 6, 5, 3, 4, 5, 4, 4, 4, 6, 4, 6, 2, 3, 4, 6, 4, 3, 4, 4, 2, 5, 4, 4, 3, 2, 3, 6, 4, 4, 4, 3, 5, 4, 3, 5, 6, 6, 5, 2, 5, 7, 4, 7, 6, 7, 4, 5, 7, 7, 6, 3, 4, 5, 3, 6, 3, 4, 5, 3, 3, 3, 6, 5, 3, 3, 6, 8, 6, 3, 5, 2, 4, 3, 5, 5, 4, 5, 4, 6, 5, 3, 3, 3, 6, 4, 5, 3, 1, 4, 1, 4, 5, 6, 0, 3, 8, 5, 8, 4, 4, 2, 4, 6, 5, 7, 3, 2, 4, 2, 5, 4, 5, 6, 6, 5, 5, 6, 7, 3, 7, 5, 5, 4, 6, 4, 3, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 5, 6, 6, 4, 4, 6, 5, 4, 6, 3, 3, 4, 5, 4, 6, 7, 4, 5, 5, 5, 5, 1, 4, 4, 5, 4, 3, 5, 4, 5, 2, 5, 4, 3, 4, 2, 7, 5, 5, 0, 4, 6, 3, 3, 6, 5, 2, 4, 1, 7, 4, 4, 2, 4, 6, 2, 3, 2, 4, 5, 5, 3, 6, 2, 5, 6, 3, 3, 6, 7, 6, 4, 3, 7, 4, 5, 5, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 6, 6, 3, 7, 8, 9, 3, 5, 3, 2, 2, 2, 5, 5, 6, 6, 0, 3, 3, 4, 4, 7, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 3, 3, 5, 5, 4, 6, 4, 4, 5, 5, 6, 4, 4, 6, 4, 3, 4, 3, 3, 3, 2, 4, 4, 3, 5, 4, 3, 3, 4, 5, 3, 3, 7, 7, 5, 3, 4, 7, 5, 3, 3, 7, 3, 3, 3, 2, 4, 5, 5, 3, 4, 1, 3, 6, 5, 6, 5, 2, 3, 2, 4, 5, 4, 3, 4, 5, -1 5, 2, 3, 5, 4, 6, 5, 4, 4, 2, 4, 6, 5, 4, 6, 3, 4, 4, 5, 2, 5, 5, 8, 5, 6, 6, 4, 5, 6, 5, 6, 4, 5, 2, 2, 5, 4, 5, 4, 3, 7, 2, 4, 2, 4, 5, 5, 5, 4, 6, 5, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 2, 3, 5, 3, 6, 7, 5, 5, 3, 9, 4, 2, 4, 5, 6, 5, 5, 6, 6, 2, 3, 4, 2, 6, 5, 4, 4, 2, 7, 4, 5, 4, 5, 5, 5, 4, 7, 5, 6, 4, 2, 2, 5, 3, 6, 3, 5, 4, 2, 2, 3, 6, 5, 3, 3, 5, 7, 6, 6, 5, 4, 4, 5, 4, 4, 7, 4, 4, 5, 6, 6, 5, 5, 3, 6, 3, 3, 4, 4, 6, 3, 3, 3, 5, 4, 6, 5, 6, 6, 7, 5, 2, 6, 4, 5, 5, 4, 5, 6, 5, 6, 7, 3, 3, 8, 5, 3, 5, 3, 4, 7, 4, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 1, 4, 5, 8, 5, 5, 5, 4, 4, 2, 5, 3, 4, 5, 4, 4, 3, 6, 3, 4, 2, 5, 4, 6, 4, 4, 4, 5, 4, 4, 4, 6, 4, 5, 5, 4, 6, 6, 2, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 6, 6, 4, 7, 5, 5, 5, 5, 4, 3, 6, 5, 5, 5, 2, 2, 3, 4, 7, 6, 2, 4, 5, 5, 6, 5, 3, 6, 5, 3, 6, 3, 6, 5, 5, 6, 3, 7, 6, 5, 3, 6, 2, 0, 6, 4, 5, 3, 2, 3, 3, 4, 4, 5, 4, 6, 5, 4, 6, 4, 3, 3, 4, 4, 3, 5, 8, 6, 4, 5, 3, 4, 4, 5, 4, 3, 5, 1, 4, 4, 6, 6, 4, 6, 4, 6, 6, 6, 4, 8, 4, 2, 5, 6, 4, 7, 3, 5, 3, 2, 2, 3, 5, 5, 3, 6, 4, 5, 4, 3, 6, 5, 5, 5, 3, 4, 4, 4, 3, 3, 5, 8, 1, 3, 5, 2, 3, 5, 4, 6, 4, 5, 1, 4, 4, 5, 3, 9, 5, 5, 5, 4, 5, 6, 4, 4, 7, 4, 3, 3, 4, 5, 3, 4, 3, 5, 6, 5, 5, 4, 5, 5, 3, 3, 4, 5, 4, 6, 4, 4, 7, 1, 1, 5, 5, 6, 7, 6, 3, 4, 3, 6, 5, 5, 5, 4, 3, 4, 5, 4, 4, 6, 4, 5, 5, 5, 4, 5, 6, 3, 2, 6, 3, 1, 7, 5, 4, 6, 2, 5, 6, 5, 5, 7, 4, 4, 6, 5, 5, 4, 3, 3, 6, 2, 2, 2, 3, 4, 5, 3, 5, 6, 1, 4, 5, 3, 4, 6, 3, 5, 3, 3, 4, 6, 6, 2, 2, 2, 4, 5, 5, 4, 4, 5, 5, 5, 3, 8, 2, 6, 2, 2, 4, 5, 6, 7, 4, -1 3, 4, 6, 4, 4, 4, 5, 4, 4, 4, 6, 3, 4, 5, 5, 7, 1, 6, 4, 6, 5, 6, 3, 4, 5, 4, 2, 4, 6, 5, 5, 4, 6, 6, 3, 4, 5, 6, 5, 1, 4, 4, 3, 4, 4, 6, 4, 4, 2, 5, 7, 5, 4, 6, 4, 6, 5, 3, 3, 5, 4, 4, 4, 5, 7, 5, 3, 5, 5, 4, 2, 4, 3, 7, 5, 7, 3, 6, 4, 4, 5, 3, 1, 6, 5, 4, 5, 7, 5, 3, 2, 4, 5, 5, 5, 5, 2, 6, 2, 5, 4, 5, 4, 4, 2, 3, 5, 7, 5, 6, 5, 6, 5, 5, 6, 3, 6, 3, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 6, 6, 4, 3, 3, 5, 2, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 6, 6, 4, 7, 5, 7, 3, 4, 5, 4, 5, 5, 4, 4, 3, 5, 2, 6, 5, 4, 4, 5, 8, 4, 4, 4, 6, 5, 4, 6, 2, 4, 3, 6, 5, 4, 6, 5, 7, 4, 3, 6, 4, 3, 3, 5, 5, 4, 5, 5, 2, 3, 4, 5, 5, 4, 6, 3, 6, 2, 1, 5, 5, 6, 5, 4, 4, 4, 1, 3, 4, 5, 7, 4, 4, 6, 0, 4, 4, 6, 7, 3, 3, 6, 5, 5, 4, 5, 6, 6, 4, 5, 3, 5, 4, 3, 3, 3, 5, 4, 0, 4, 4, 4, 5, 2, 3, 6, 6, 5, 3, 4, 3, 4, 2, 7, 4, 5, 5, 4, 3, 2, 6, 6, 4, 6, 5, 4, 3, 3, 3, 5, 5, 4, 3, 3, 6, 6, 7, 3, 5, 6, 8, 6, 3, 4, 4, 5, 4, 7, 1, 5, 3, 4, 3, 6, 5, 2, 5, 4, 4, 5, 4, 6, 2, 3, 2, 6, 4, 7, 4, 7, 5, 5, 5, 4, 3, 5, 3, 4, 6, 5, 3, 5, 5, 5, 7, 6, 4, 5, 4, 4, 6, 6, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 6, 2, 3, 4, 2, 5, 6, 5, 2, 3, 6, 5, 4, 2, 6, 5, 3, 4, 2, 5, 5, 5, 6, 6, 3, 2, 5, 4, 6, 4, 3, 6, 6, 4, 3, 2, 4, 4, 2, 2, 6, 4, 2, 5, 5, 4, 6, 4, 1, 5, 5, 3, 5, 6, 7, 5, 5, 6, 5, 4, 6, 4, 4, 5, 6, 6, 2, 6, 3, 2, 4, 2, 4, 3, 4, 4, 4, 6, 6, 2, 5, 4, 3, 5, 4, 5, 4, 5, 5, 3, 3, 5, 4, 4, 3, 0, 5, 3, 6, 6, 3, 4, 7, 3, 5, 5, 4, 4, 6, 5, 7, 3, 4, 5, 5, 5, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 0, 3, 6, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 6, 3, 3, 3, 4, 6, 6, 4, -1 5, 3, 3, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 5, 9, 5, 4, 4, 6, 6, 4, 6, 3, 5, 4, 2, 3, 6, 3, 6, 6, 2, 3, 5, 8, 3, 4, 5, 3, 8, 4, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 5, 6, 4, 3, 5, 1, 4, 8, 5, 5, 2, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 6, 4, 5, 4, 5, 5, 4, 5, 2, 5, 5, 6, 4, 5, 2, 2, 3, 6, 3, 2, 2, 4, 5, 3, 6, 4, 3, 3, 4, 3, 7, 6, 6, 3, 6, 5, 4, 5, 3, 4, 5, 5, 4, 5, 3, 4, 5, 3, 6, 5, 6, 6, 5, 8, 7, 6, 4, 4, 3, 4, 4, 4, 2, 4, 5, 2, 5, 5, 4, 7, 5, 4, 5, 5, 9, 6, 2, 6, 4, 4, 4, 4, 5, 6, 4, 6, 4, 6, 5, 5, 3, 7, 2, 6, 3, 4, 5, 5, 4, 6, 4, 6, 4, 4, 0, 4, 3, 1, 6, 8, 5, 4, 3, 5, 3, 9, 3, 3, 3, 4, 6, 5, 3, 5, 3, 6, 4, 7, 4, 7, 2, 4, 4, 2, 6, 2, 4, 4, 3, 5, 3, 5, 2, 4, 4, 6, 5, 3, 0, 4, 4, 7, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 3, 5, 6, 5, 4, 6, 3, 4, 6, 5, 3, 5, 6, 3, 2, 4, 4, 3, 5, 6, 3, 8, 7, 6, 5, 2, 5, 4, 3, 4, 4, 4, 6, 7, 2, 7, 6, 2, 4, 6, 3, 2, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 6, 4, 3, 5, 5, 5, 5, 5, 4, 4, 7, 3, 2, 3, 5, 3, 2, 5, 4, 3, 5, 5, 5, 6, 4, 3, 7, 4, 4, 5, 5, 5, 3, 7, 7, 5, 2, 4, 3, 5, 6, 2, 4, 3, 5, 5, 5, 4, 6, 3, 5, 6, 5, 5, 3, 6, 5, 3, 3, 5, 3, 5, 8, 5, 1, 3, 4, 6, 7, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 5, 4, 4, 4, 6, 2, 3, 6, 4, 3, 4, 3, 1, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 6, 4, 5, 4, 5, 5, 1, 2, 6, 5, 4, 4, 2, 5, 4, 2, 3, 3, 5, 4, 4, 2, 1, 8, 2, 4, 4, 5, 2, 7, 6, 7, 4, 5, 4, 4, 3, 3, 6, 6, 4, 7, 4, 7, 4, 6, 4, 6, 3, 3, 4, 4, 7, 6, 2, 5, 5, 2, 5, 5, 6, 5, 6, 6, 4, 6, 6, 2, 3, 2, 2, 2, 3, 5, 4, 7, 7, 6, 6, 6, 2, 4, 6, 5, 8, 3, 4, 4, 5, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 3, 4, 6, 1 4, 5, 5, 5, 6, 2, 4, 3, 4, 4, 2, 4, 6, 4, 6, 4, 3, 4, 4, 5, 5, 3, 6, 5, 4, 5, 4, 4, 7, 4, 5, 4, 5, 4, 8, 4, 4, 2, 7, 4, 3, 6, 6, 4, 5, 3, 2, 4, 2, 5, 4, 4, 4, 4, 2, 6, 4, 4, 6, 3, 3, 7, 5, 6, 4, 3, 6, 5, 3, 6, 3, 8, 5, 6, 3, 5, 5, 3, 4, 3, 3, 5, 6, 6, 2, 3, 5, 4, 3, 6, 4, 4, 6, 3, 4, 3, 4, 4, 6, 6, 4, 8, 6, 5, 3, 5, 5, 7, 5, 2, 4, 5, 6, 6, 5, 4, 2, 1, 4, 4, 5, 4, 6, 3, 6, 6, 6, 8, 5, 4, 4, 4, 4, 3, 5, 5, 6, 3, 5, 5, 3, 3, 7, 5, 4, 2, 4, 4, 4, 6, 5, 6, 5, 3, 6, 6, 4, 5, 6, 5, 4, 3, 6, 5, 2, 2, 5, 4, 2, 1, 7, 3, 5, 6, 5, 7, 6, 8, 6, 2, 1, 5, 3, 5, 6, 3, 4, 6, 5, 4, 3, 5, 3, 4, 5, 4, 6, 5, 5, 4, 4, 2, 5, 3, 6, 7, 7, 4, 5, 5, 7, 6, 4, 5, 4, 7, 3, 0, 3, 3, 8, 3, 6, 6, 5, 3, 8, 6, 8, 6, 4, 3, 4, 4, 6, 3, 4, 7, 7, 2, 5, 4, 4, 3, 7, 3, 2, 1, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 3, 6, 4, 4, 3, 4, 4, 2, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 3, 7, 4, 5, 5, 2, 5, 2, 3, 2, 9, 5, 3, 4, 5, 4, 5, 4, 7, 4, 4, 6, 7, 2, 4, 5, 6, 2, 3, 2, 3, 5, 1, 6, 5, 7, 6, 3, 7, 2, 6, 5, 6, 6, 6, 4, 1, 3, 5, 2, 4, 7, 4, 3, 6, 5, 6, 1, 4, 5, 5, 3, 3, 4, 5, 5, 3, 4, 2, 5, 3, 4, 7, 6, 4, 8, 3, 5, 5, 6, 6, 4, 4, 6, 4, 5, 3, 4, 5, 6, 6, 4, 6, 4, 4, 2, 2, 4, 4, 4, 4, 7, 5, 5, 5, 2, 2, 5, 5, 5, 3, 3, 4, 4, 6, 6, 6, 3, 7, 6, 7, 7, 5, 4, 3, 5, 3, 5, 4, 4, 4, 6, 3, 5, 6, 5, 6, 5, 4, 4, 4, 6, 4, 6, 4, 6, 7, 5, 3, 4, 3, 5, 4, 4, 4, 5, 9, 6, 3, 6, 6, 6, 1, 3, 2, 3, 3, 5, 6, 5, 5, 3, 3, 4, 9, 5, 5, 3, 7, 4, 4, 2, 5, 4, 5, 3, 2, 2, 5, 5, 5, 2, 3, 6, 6, 4, 4, 3, 5, 4, 4, 5, 8, 6, 4, 5, 2, 6, 4, 6, 4, 5, 3, 3, 3, 5, 2, 1 5, 4, 3, 4, 6, 3, 6, 6, 7, 3, 4, 4, 9, 3, 3, 5, 4, 6, 7, 5, 4, 5, 6, 2, 8, 4, 4, 3, 4, 5, 3, 6, 4, 6, 5, 8, 7, 3, 4, 5, 2, 3, 4, 3, 6, 3, 6, 4, 8, 5, 5, 2, 3, 4, 4, 6, 5, 5, 3, 3, 6, 4, 3, 5, 7, 3, 2, 5, 2, 5, 5, 5, 5, 3, 5, 5, 4, 5, 6, 3, 4, 8, 3, 6, 1, 4, 9, 6, 3, 0, 4, 4, 5, 9, 4, 4, 3, 5, 2, 6, 6, 5, 3, 3, 5, 4, 4, 6, 4, 6, 4, 4, 6, 5, 5, 6, 5, 2, 6, 4, 4, 5, 5, 5, 3, 3, 6, 5, 4, 5, 4, 5, 4, 5, 4, 1, 5, 3, 4, 5, 4, 5, 6, 0, 4, 4, 2, 5, 2, 6, 6, 3, 6, 4, 3, 4, 6, 4, 5, 5, 7, 5, 6, 6, 5, 4, 4, 0, 4, 7, 4, 2, 4, 6, 3, 5, 4, 4, 6, 4, 5, 5, 2, 6, 4, 2, 4, 5, 5, 5, 6, 4, 5, 4, 1, 3, 4, 5, 4, 4, 5, 2, 4, 3, 5, 5, 3, 7, 5, 5, 2, 4, 4, 5, 5, 6, 6, 4, 5, 6, 4, 4, 6, 5, 6, 5, 4, 4, 4, 5, 4, 3, 3, 5, 6, 5, 5, 6, 5, 3, 4, 3, 4, 4, 7, 3, 6, 3, 5, 5, 5, 8, 3, 3, 1, 2, 2, 6, 5, 3, 5, 4, 5, 4, 2, 2, 5, 6, 1, 4, 4, 6, 5, 3, 3, 5, 4, 6, 6, 2, 4, 4, 3, 4, 2, 7, 4, 4, 5, 3, 8, 5, 2, 1, 5, 3, 6, 4, 4, 3, 6, 4, 6, 2, 2, 7, 2, 7, 6, 5, 4, 4, 5, 4, 5, 2, 4, 5, 4, 3, 7, 4, 6, 4, 3, 3, 6, 4, 4, 3, 6, 3, 4, 3, 6, 4, 7, 4, 6, 5, 1, 2, 2, 2, 4, 3, 5, 5, 4, 4, 4, 6, 4, 5, 5, 4, 4, 3, 5, 4, 6, 4, 4, 7, 5, 5, 4, 5, 3, 6, 4, 5, 4, 6, 4, 4, 2, 2, 8, 5, 4, 6, 5, 4, 4, 4, 5, 4, 7, 5, 4, 6, 4, 6, 4, 6, 5, 2, 3, 4, 2, 3, 5, 4, 5, 4, 7, 6, 5, 3, 5, 2, 8, 3, 3, 3, 4, 6, 5, 5, 4, 4, 4, 4, 4, 3, 5, 6, 4, 4, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 9, 4, 5, 3, 3, 6, 3, 5, 6, 5, 6, 4, 1, 5, 4, 7, 3, 7, 4, 5, 3, 7, 5, 5, 4, 1, 4, 4, 4, 4, 7, 5, 5, 4, 4, 3, 3, 0, 4, 1, 6, 2, 4, 5, 2, 4, 7, 2, 6, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 3, -1 4, 4, 5, 3, 4, 2, 6, 5, 4, 6, 4, 5, 4, 5, 8, 7, 4, 4, 6, 6, 3, 4, 4, 4, 3, 2, 5, 5, 5, 2, 4, 4, 4, 2, 5, 2, 5, 4, 4, 3, 4, 1, 4, 4, 5, 3, 5, 5, 3, 7, 3, 6, 4, 4, 4, 6, 4, 6, 5, 4, 6, 6, 2, 4, 4, 5, 3, 6, 3, 3, 6, 2, 3, 2, 3, 5, 6, 4, 5, 2, 6, 3, 2, 5, 3, 3, 6, 5, 4, 3, 4, 2, 4, 7, 5, 5, 4, 3, 6, 4, 5, 4, 4, 3, 4, 4, 6, 4, 4, 4, 3, 4, 5, 3, 5, 3, 3, 4, 4, 6, 3, 5, 6, 5, 5, 2, 4, 3, 4, 8, 5, 4, 5, 5, 6, 4, 5, 3, 5, 5, 2, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 7, 5, 4, 8, 2, 4, 4, 4, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 2, 5, 3, 5, 8, 4, 5, 4, 4, 3, 4, 7, 3, 4, 4, 2, 4, 5, 4, 6, 3, 5, 5, 4, 4, 7, 5, 3, 6, 5, 6, 5, 4, 1, 5, 4, 6, 8, 2, 4, 5, 3, 3, 3, 4, 6, 4, 4, 4, 3, 5, 4, 6, 4, 4, 7, 7, 8, 4, 6, 4, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 6, 7, 2, 3, 7, 4, 4, 3, 6, 3, 5, 4, 4, 5, 2, 5, 6, 6, 4, 5, 3, 0, 8, 4, 4, 7, 7, 5, 5, 4, 4, 8, 4, 3, 2, 4, 7, 6, 2, 3, 4, 4, 3, 4, 4, 8, 4, 4, 6, 4, 6, 5, 6, 4, 5, 4, 1, 6, 6, 4, 4, 5, 5, 6, 6, 4, 7, 0, 6, 3, 3, 4, 5, 2, 4, 6, 5, 5, 8, 5, 6, 4, 5, 7, 4, 4, 1, 3, 4, 5, 3, 2, 5, 6, 7, 4, 3, 5, 6, 3, 4, 5, 4, 5, 5, 5, 5, 7, 5, 3, 1, 5, 4, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 3, 4, 7, 4, 4, 6, 4, 6, 2, 5, 2, 4, 4, 6, 3, 3, 5, 4, 5, 2, 2, 3, 2, 3, 3, 5, 5, 3, 4, 4, 7, 5, 4, 4, 3, 5, 6, 5, 4, 8, 5, 3, 7, 6, 4, 5, 5, 4, 6, 2, 5, 4, 2, 2, 6, 3, 3, 5, 4, 4, 4, 5, 5, 6, 5, 3, 6, 1, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 4, 6, 4, 5, 6, 3, 3, 5, 5, 5, 3, 3, 4, 6, 2, 2, 4, 6, 3, 4, 2, 2, 6, 4, 5, 4, 3, 6, 5, 4, 4, 5, 7, 5, 1, 6, 4, 6, 4, 5, 4, 3, 5, 4, 7, 3, 4, 4, 4, 3, 8, 2, 6, 5, 5, 5, 3, 5, -1 8, 4, 3, 4, 2, 2, 5, 7, 4, 6, 4, 6, 6, 7, 5, 0, 5, 5, 4, 3, 4, 6, 4, 6, 4, 4, 5, 5, 2, 5, 5, 3, 4, 6, 6, 4, 4, 3, 4, 6, 5, 2, 5, 6, 5, 4, 2, 3, 4, 5, 5, 5, 3, 2, 6, 5, 4, 0, 3, 6, 5, 4, 4, 3, 6, 4, 6, 7, 5, 6, 3, 3, 4, 6, 4, 3, 3, 6, 5, 1, 3, 5, 2, 4, 5, 4, 6, 4, 5, 4, 7, 6, 5, 2, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 5, 4, 5, 6, 6, 5, 2, 6, 3, 6, 4, 2, 6, 4, 4, 2, 3, 6, 5, 4, 3, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 2, 6, 6, 4, 7, 6, 5, 2, 3, 1, 5, 4, 7, 6, 4, 4, 4, 5, 7, 4, 6, 5, 4, 2, 6, 6, 6, 3, 7, 3, 3, 5, 6, 4, 5, 4, 5, 5, 5, 4, 5, 5, 7, 4, 1, 6, 3, 4, 4, 6, 7, 5, 6, 8, 6, 7, 4, 3, 4, 5, 5, 7, 2, 6, 5, 6, 3, 4, 5, 5, 4, 5, 4, 1, 4, 3, 3, 3, 7, 5, 6, 4, 5, 4, 4, 5, 3, 2, 4, 7, 4, 7, 4, 3, 4, 4, 3, 2, 2, 4, 5, 7, 3, 2, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4, 7, 6, 3, 6, 5, 4, 2, 3, 3, 5, 4, 6, 5, 4, 4, 7, 5, 2, 6, 3, 3, 5, 7, 4, 4, 4, 5, 5, 6, 5, 5, 3, 6, 4, 4, 4, 3, 7, 4, 6, 4, 6, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 6, 3, 5, 3, 5, 5, 5, 6, 3, 3, 4, 6, 4, 2, 6, 5, 5, 4, 5, 5, 6, 5, 6, 2, 3, 7, 5, 4, 4, 3, 3, 5, 6, 6, 4, 5, 4, 6, 5, 5, 1, 5, 3, 4, 4, 8, 4, 4, 2, 3, 7, 5, 5, 3, 4, 3, 3, 5, 6, 4, 3, 3, 4, 4, 4, 5, 7, 4, 3, 5, 4, 6, 4, 3, 5, 3, 7, 3, 4, 5, 5, 5, 3, 5, 4, 6, 5, 7, 8, 4, 6, 5, 5, 6, 4, 4, 4, 4, 3, 5, 4, 6, 5, 4, 5, 6, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 6, 5, 3, 7, 5, 5, 7, 5, 4, 7, 5, 5, 7, 2, 3, 6, 4, 5, 3, 4, 8, 6, 3, 3, 5, 6, 3, 3, 3, 8, 5, 5, 2, 4, 6, 4, 3, 5, 6, 7, 4, 6, 2, 3, 5, 3, 6, 7, 4, 5, 3, 6, 5, 7, 3, 3, 5, 5, 3, 5, 7, 2, 3, 6, 6, 4, 3, -1 1, 5, 5, 3, 6, 5, 4, 4, 4, 5, 6, 5, 4, 3, 5, 1, 4, 5, 5, 4, 6, 6, 3, 5, 1, 2, 4, 3, 7, 3, 7, 6, 6, 5, 6, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 7, 5, 5, 3, 3, 3, 4, 6, 5, 4, 6, 5, 3, 4, 2, 5, 3, 2, 6, 7, 4, 4, 5, 3, 7, 3, 5, 3, 5, 3, 6, 3, 5, 3, 5, 2, 4, 2, 6, 1, 6, 5, 5, 6, 4, 4, 7, 5, 4, 4, 6, 4, 5, 4, 4, 5, 5, 4, 4, 2, 3, 8, 5, 5, 4, 5, 7, 5, 6, 4, 4, 4, 5, 4, 3, 3, 1, 7, 4, 5, 3, 4, 7, 3, 6, 3, 2, 3, 6, 7, 3, 3, 6, 3, 5, 4, 7, 5, 3, 6, 5, 4, 6, 5, 6, 5, 5, 5, 4, 4, 4, 5, 4, 6, 2, 4, 4, 3, 4, 1, 3, 4, 3, 6, 6, 5, 1, 3, 6, 4, 3, 5, 4, 3, 2, 7, 2, 4, 4, 2, 6, 5, 3, 5, 4, 6, 4, 3, 4, 7, 5, 5, 5, 5, 6, 3, 3, 3, 5, 6, 4, 4, 4, 1, 5, 5, 3, 3, 4, 5, 4, 7, 1, 5, 4, 6, 3, 3, 2, 6, 5, 3, 5, 3, 5, 5, 3, 6, 8, 4, 5, 4, 5, 5, 5, 5, 3, 5, 8, 3, 7, 5, 5, 3, 6, 4, 5, 6, 3, 3, 5, 1, 8, 8, 5, 4, 6, 8, 3, 4, 4, 4, 4, 5, 2, 4, 5, 4, 3, 5, 6, 4, 6, 4, 4, 3, 4, 4, 7, 5, 7, 6, 5, 3, 5, 5, 3, 4, 6, 4, 7, 5, 5, 5, 4, 5, 3, 6, 4, 5, 9, 4, 4, 7, 6, 2, 4, 5, 5, 3, 4, 4, 6, 7, 6, 3, 3, 4, 5, 6, 3, 3, 3, 7, 1, 3, 6, 5, 3, 7, 4, 6, 4, 6, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 1, 5, 9, 3, 7, 4, 2, 3, 6, 4, 5, 6, 6, 5, 3, 6, 6, 4, 5, 7, 2, 4, 5, 6, 2, 5, 5, 3, 3, 4, 3, 6, 5, 5, 6, 4, 7, 4, 4, 2, 1, 6, 6, 6, 5, 7, 4, 2, 5, 6, 3, 3, 6, 5, 3, 9, 6, 2, 2, 3, 1, 4, 4, 6, 6, 5, 2, 3, 5, 4, 5, 2, 4, 5, 6, 3, 6, 5, 3, 4, 2, 5, 5, 5, 3, 6, 4, 4, 4, 5, 3, 5, 4, 3, 5, 6, 5, 6, 5, 3, 4, 7, 4, 3, 0, 3, 4, 6, 3, 4, 5, 6, 5, 4, 4, 2, 3, 8, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 6, 4, 3, 6, 6, 5, 3, 4, 4, 2, 5, 3, 6, 6, 5, 2, 6, 3, -1 2, 3, 3, 3, 4, 6, 9, 5, 7, 5, 3, 8, 5, 5, 3, 6, 4, 6, 3, 6, 5, 4, 5, 3, 7, 5, 5, 6, 7, 3, 6, 5, 4, 2, 5, 6, 4, 3, 4, 2, 4, 3, 6, 3, 6, 4, 3, 7, 5, 4, 7, 4, 3, 3, 6, 4, 2, 4, 4, 4, 4, 6, 4, 6, 7, 4, 4, 4, 5, 5, 3, 5, 7, 4, 5, 3, 6, 7, 6, 6, 2, 4, 4, 6, 2, 5, 5, 5, 5, 7, 4, 5, 4, 4, 4, 5, 6, 5, 4, 4, 6, 5, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 7, 6, 5, 5, 3, 4, 3, 5, 6, 5, 4, 4, 4, 4, 4, 6, 4, 3, 4, 4, 3, 7, 5, 4, 3, 6, 4, 3, 6, 4, 3, 4, 4, 4, 7, 5, 4, 2, 7, 3, 5, 2, 5, 4, 5, 3, 8, 3, 6, 7, 4, 2, 6, 6, 6, 6, 5, 6, 8, 3, 4, 6, 7, 5, 7, 3, 6, 5, 4, 3, 4, 3, 4, 3, 3, 5, 4, 1, 3, 3, 3, 4, 6, 6, 5, 4, 5, 4, 4, 4, 5, 3, 2, 5, 5, 4, 4, 4, 3, 7, 3, 4, 5, 2, 5, 3, 6, 5, 6, 4, 4, 6, 4, 5, 4, 6, 4, 7, 4, 7, 5, 3, 3, 8, 6, 2, 5, 2, 5, 3, 7, 7, 6, 5, 6, 4, 6, 6, 4, 2, 6, 3, 4, 5, 5, 0, 5, 6, 5, 7, 4, 2, 5, 4, 5, 4, 3, 4, 7, 2, 5, 7, 2, 4, 6, 5, 2, 3, 2, 4, 5, 5, 5, 3, 4, 5, 5, 2, 4, 4, 6, 4, 4, 3, 6, 4, 4, 4, 5, 4, 5, 5, 2, 1, 2, 4, 4, 6, 2, 5, 5, 6, 7, 3, 7, 3, 6, 7, 5, 6, 7, 5, 5, 4, 6, 4, 2, 6, 5, 3, 4, 5, 7, 6, 6, 4, 2, 4, 4, 5, 3, 4, 7, 5, 5, 5, 4, 4, 5, 4, 3, 3, 3, 3, 7, 5, 3, 5, 5, 3, 5, 3, 4, 3, 3, 4, 3, 5, 5, 5, 3, 5, 4, 4, 5, 6, 2, 2, 4, 3, 3, 4, 4, 2, 6, 5, 6, 7, 5, 4, 2, 5, 5, 6, 4, 5, 5, 4, 4, 6, 5, 4, 4, 5, 5, 6, 2, 3, 5, 6, 2, 3, 3, 4, 4, 4, 7, 5, 2, 7, 5, 2, 3, 5, 4, 6, 4, 3, 4, 4, 4, 6, 6, 6, 4, 6, 7, 6, 4, 4, 5, 4, 5, 5, 2, 3, 5, 7, 4, 4, 4, 6, 5, 5, 5, 4, 2, 5, 5, 5, 3, 2, 4, 2, 4, 2, 2, 3, 4, 1, 4, 2, 5, 6, 4, 4, 3, 6, 5, 4, 5, 3, 6, 5, 2, 5, 7, 6, 6, 3, 7, 3, 6, 3, 4, 3, 1 4, 5, 4, 4, 3, 3, 4, 5, 4, 7, 3, 4, 6, 5, 7, 8, 7, 6, 3, 3, 6, 5, 3, 4, 4, 4, 7, 4, 2, 4, 5, 3, 4, 2, 7, 2, 4, 3, 4, 3, 4, 5, 5, 5, 6, 5, 7, 1, 6, 7, 4, 5, 4, 4, 3, 7, 4, 6, 7, 5, 3, 6, 3, 5, 5, 3, 7, 6, 5, 4, 6, 5, 1, 6, 5, 5, 3, 7, 6, 5, 4, 4, 5, 5, 4, 3, 8, 4, 2, 5, 4, 7, 4, 5, 6, 0, 4, 2, 6, 3, 2, 4, 3, 5, 4, 4, 6, 6, 4, 4, 3, 0, 6, 3, 5, 5, 4, 3, 5, 4, 3, 4, 0, 4, 6, 6, 5, 4, 4, 6, 6, 5, 6, 7, 4, 1, 4, 4, 3, 7, 2, 4, 6, 4, 5, 6, 6, 3, 1, 5, 2, 2, 9, 3, 4, 3, 4, 5, 5, 4, 4, 4, 6, 6, 3, 4, 5, 8, 4, 1, 3, 6, 6, 6, 5, 5, 5, 5, 6, 2, 4, 3, 3, 3, 3, 4, 4, 6, 4, 6, 5, 1, 3, 4, 2, 5, 4, 5, 2, 4, 2, 4, 3, 7, 2, 5, 2, 6, 2, 3, 3, 6, 4, 5, 5, 7, 4, 5, 6, 3, 4, 4, 4, 6, 5, 4, 5, 6, 4, 6, 3, 1, 3, 4, 6, 6, 5, 4, 5, 3, 4, 5, 6, 6, 3, 5, 6, 4, 4, 6, 3, 5, 4, 4, 5, 6, 5, 3, 2, 3, 4, 6, 3, 4, 6, 3, 3, 7, 5, 2, 4, 3, 6, 1, 5, 7, 4, 3, 7, 3, 2, 3, 5, 5, 5, 6, 6, 4, 5, 4, 5, 4, 4, 3, 3, 4, 6, 5, 7, 6, 7, 7, 6, 4, 3, 4, 5, 5, 1, 7, 4, 4, 4, 5, 3, 5, 4, 5, 2, 5, 4, 2, 1, 6, 6, 3, 7, 4, 7, 6, 7, 6, 2, 5, 4, 6, 4, 5, 6, 3, 3, 5, 4, 3, 1, 3, 3, 7, 3, 5, 6, 6, 6, 6, 4, 2, 6, 5, 5, 4, 3, 2, 5, 5, 4, 4, 7, 3, 4, 3, 5, 3, 3, 4, 8, 7, 3, 3, 6, 4, 6, 3, 5, 4, 2, 1, 1, 5, 6, 6, 5, 4, 3, 6, 3, 3, 5, 4, 6, 5, 3, 4, 5, 5, 3, 7, 7, 4, 4, 5, 5, 4, 4, 3, 5, 4, 6, 2, 3, 2, 4, 4, 4, 7, 7, 6, 4, 6, 3, 5, 3, 1, 2, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 3, 5, 4, 5, 4, 2, 2, 4, 4, 6, 1, 4, 4, 9, 6, 6, 3, 4, 7, 3, 2, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 6, 4, 7, 4, 7, 5, 6, 4, 3, 4, 4, 2, 5, 4, 6, -1 5, 4, 3, 4, 4, 4, 4, 4, 6, 6, 5, 5, 3, 3, 4, 3, 8, 5, 3, 4, 5, 5, 2, 4, 4, 5, 2, 4, 3, 3, 3, 3, 5, 4, 4, 6, 3, 5, 5, 5, 4, 5, 5, 5, 3, 5, 7, 7, 6, 5, 4, 4, 1, 2, 5, 5, 4, 4, 7, 4, 6, 4, 4, 3, 6, 4, 5, 5, 8, 5, 5, 4, 4, 4, 3, 4, 5, 3, 4, 5, 5, 4, 3, 6, 5, 5, 5, 4, 4, 8, 4, 6, 6, 7, 3, 5, 3, 7, 3, 4, 4, 4, 2, 4, 3, 4, 6, 3, 3, 4, 5, 5, 6, 5, 6, 6, 5, 1, 7, 5, 5, 5, 4, 3, 3, 6, 3, 5, 4, 7, 4, 5, 6, 3, 7, 4, 4, 4, 4, 5, 3, 7, 3, 5, 4, 5, 2, 1, 6, 5, 6, 3, 5, 5, 6, 4, 5, 4, 5, 3, 4, 4, 3, 4, 5, 7, 5, 5, 3, 4, 6, 2, 5, 3, 5, 3, 2, 7, 3, 4, 4, 6, 4, 4, 3, 3, 6, 4, 5, 2, 4, 2, 3, 4, 7, 4, 3, 6, 4, 6, 5, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 6, 1, 3, 6, 7, 3, 4, 4, 4, 3, 3, 4, 4, 3, 6, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 2, 3, 5, 2, 2, 5, 5, 2, 1, 5, 5, 5, 5, 4, 4, 4, 5, 3, 2, 7, 5, 3, 4, 6, 5, 5, 7, 4, 4, 4, 4, 3, 3, 8, 2, 5, 5, 4, 1, 5, 7, 3, 5, 6, 5, 3, 5, 6, 5, 6, 4, 8, 6, 2, 4, 6, 7, 5, 4, 3, 3, 5, 4, 6, 4, 5, 4, 2, 6, 5, 3, 4, 5, 2, 4, 7, 4, 6, 6, 3, 4, 2, 4, 6, 6, 7, 3, 3, 3, 4, 4, 4, 5, 4, 4, 6, 4, 5, 6, 5, 4, 2, 5, 4, 5, 5, 6, 4, 6, 5, 2, 5, 7, 5, 3, 6, 5, 4, 5, 3, 6, 5, 6, 4, 4, 5, 3, 5, 5, 3, 5, 5, 5, 6, 6, 4, 4, 5, 4, 6, 4, 6, 3, 3, 4, 3, 4, 3, 2, 2, 4, 5, 3, 6, 6, 2, 4, 6, 4, 7, 7, 2, 3, 5, 2, 5, 2, 5, 5, 3, 4, 4, 2, 3, 3, 3, 2, 4, 2, 4, 6, 5, 5, 2, 4, 3, 4, 2, 6, 4, 5, 7, 4, 4, 6, 1, 4, 3, 2, 4, 3, 6, 4, 5, 4, 3, 2, 3, 4, 4, 5, 4, 3, 5, 5, 5, 6, 3, 4, 5, 1, 2, 4, 4, 4, 4, 4, 6, 3, 4, 5, 5, 4, 5, 4, 6, 4, 5, 4, 3, 5, 4, 1, 4, 4, 3, 1, 5, 6, 4, 4, 8, 4, 3, 5, 4, 3, 6, 5, 5, 4, 1 3, 3, 3, 6, 3, 4, 7, 7, 3, 5, 5, 3, 4, 2, 4, 5, 6, 5, 4, 6, 4, 6, 4, 3, 4, 3, 4, 3, 7, 4, 5, 5, 2, 4, 6, 6, 2, 4, 4, 3, 7, 3, 3, 4, 4, 4, 7, 6, 8, 4, 6, 4, 2, 4, 6, 4, 5, 4, 5, 3, 6, 4, 5, 5, 6, 7, 6, 5, 5, 6, 6, 7, 4, 7, 3, 4, 5, 7, 7, 5, 2, 5, 4, 5, 3, 3, 6, 5, 4, 4, 4, 6, 6, 4, 7, 4, 2, 3, 3, 3, 7, 6, 4, 6, 4, 6, 7, 6, 3, 4, 4, 6, 4, 5, 3, 4, 3, 3, 5, 3, 6, 3, 6, 4, 4, 5, 5, 6, 7, 8, 3, 5, 7, 5, 6, 3, 4, 4, 4, 3, 6, 7, 4, 2, 3, 5, 7, 6, 4, 6, 8, 6, 6, 6, 4, 5, 3, 4, 1, 5, 5, 2, 7, 2, 4, 5, 7, 5, 6, 4, 6, 3, 7, 4, 4, 7, 4, 5, 2, 5, 6, 4, 5, 5, 5, 3, 3, 3, 5, 4, 8, 3, 4, 4, 3, 4, 4, 3, 5, 1, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 1, 4, 7, 6, 6, 5, 4, 6, 3, 9, 2, 4, 4, 4, 4, 4, 3, 4, 8, 3, 4, 1, 3, 5, 2, 1, 6, 2, 5, 4, 5, 5, 4, 5, 3, 4, 6, 4, 4, 8, 2, 6, 5, 5, 2, 3, 3, 3, 6, 5, 6, 3, 6, 5, 6, 3, 6, 4, 6, 5, 6, 4, 4, 3, 6, 5, 4, 5, 5, 6, 5, 6, 8, 3, 2, 5, 4, 3, 4, 6, 3, 3, 4, 7, 4, 4, 5, 4, 4, 5, 6, 8, 4, 3, 3, 6, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 5, 8, 4, 4, 9, 4, 6, 3, 5, 5, 4, 1, 5, 5, 1, 4, 6, 7, 3, 5, 4, 3, 4, 2, 4, 5, 6, 5, 4, 4, 5, 3, 4, 6, 6, 6, 3, 6, 5, 5, 5, 5, 4, 5, 7, 4, 4, 2, 5, 5, 2, 6, 4, 5, 4, 3, 4, 6, 5, 3, 5, 7, 4, 4, 6, 4, 4, 5, 2, 6, 4, 3, 5, 4, 4, 2, 6, 7, 6, 3, 3, 7, 4, 2, 4, 5, 5, 1, 4, 4, 4, 4, 5, 3, 1, 2, 4, 6, 3, 7, 4, 5, 4, 1, 5, 6, 2, 5, 6, 7, 2, 4, 1, 3, 6, 2, 6, 5, 1, 6, 4, 4, 3, 6, 6, 2, 6, 4, 4, 4, 3, 6, 4, 2, 7, 2, 5, 3, 6, 3, 2, 5, 8, 3, 6, 3, 2, 5, 2, 5, 2, 6, 6, 1, 3, 1, 6, 6, 5, 5, 5, 3, 5, 3, 5, 6, 3, 4, 4, 4, 4, 5, 4, 7, 4, 4, 5, 2, 3, 5, 3, 5, 6, -1 5, 4, 5, 3, 2, 4, 5, 4, 6, 5, 5, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 2, 5, 3, 2, 5, 6, 3, 3, 4, 6, 5, 5, 5, 6, 5, 6, 3, 4, 4, 4, 5, 4, 6, 5, 5, 5, 3, 4, 4, 2, 4, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 3, 6, 9, 4, 4, 3, 4, 4, 7, 1, 6, 3, 5, 3, 4, 4, 2, 5, 4, 2, 5, 2, 3, 4, 6, 6, 7, 7, 6, 4, 4, 7, 2, 4, 5, 6, 6, 7, 4, 4, 3, 4, 2, 9, 3, 5, 4, 4, 4, 1, 5, 4, 5, 5, 4, 6, 4, 4, 3, 6, 5, 4, 5, 7, 5, 2, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 6, 4, 7, 5, 5, 7, 5, 6, 5, 3, 5, 7, 4, 4, 5, 4, 4, 5, 3, 6, 3, 4, 6, 5, 4, 4, 3, 5, 7, 4, 7, 6, 4, 7, 4, 5, 6, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 2, 1, 5, 6, 5, 4, 5, 5, 5, 5, 4, 5, 2, 3, 5, 6, 3, 4, 3, 5, 6, 5, 6, 5, 5, 3, 3, 4, 7, 5, 5, 5, 4, 5, 6, 6, 4, 5, 5, 5, 5, 5, 6, 6, 6, 3, 7, 3, 7, 3, 3, 6, 4, 6, 6, 2, 4, 5, 5, 2, 5, 5, 3, 2, 4, 4, 5, 8, 7, 3, 3, 5, 3, 3, 5, 7, 5, 1, 6, 6, 7, 4, 5, 1, 2, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 6, 4, 4, 5, 5, 7, 2, 3, 4, 5, 4, 7, 4, 3, 6, 3, 3, 7, 8, 3, 4, 4, 5, 5, 4, 3, 6, 1, 5, 6, 3, 3, 4, 5, 5, 4, 6, 5, 6, 8, 2, 5, 1, 5, 1, 4, 4, 4, 7, 6, 5, 7, 4, 2, 5, 6, 3, 6, 5, 6, 7, 6, 3, 5, 4, 4, 5, 5, 2, 3, 5, 4, 6, 6, 8, 2, 5, 4, 3, 7, 1, 3, 7, 4, 5, 6, 3, 4, 5, 5, 3, 2, 7, 7, 6, 4, 5, 3, 4, 5, 2, 7, 2, 4, 3, 5, 5, 2, 3, 4, 4, 5, 7, 6, 1, 7, 4, 5, 6, 3, 4, 5, 3, 5, 4, 2, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 2, 6, 4, 3, 6, 4, 4, 4, 3, 4, 3, 3, 4, 4, 6, 4, 6, 6, 4, 2, 4, 3, 3, 4, 7, 5, 3, 5, 4, 2, 6, 4, 2, 5, 4, 5, 3, 4, 6, 5, 5, 4, 3, 4, 5, 4, 5, 7, 4, 5, 3, 4, 5, 5, 4, 4, 6, 3, 3, 5, 6, 5, 5, 3, 2, 4, 5, 6, 3, 7, 5, 4, 5, 3, 4, 1 5, 4, 3, 4, 5, 2, 5, 6, 4, 2, 6, 2, 5, 6, 4, 0, 5, 7, 2, 7, 4, 4, 2, 3, 5, 5, 2, 6, 5, 8, 4, 5, 1, 3, 2, 4, 2, 3, 6, 5, 7, 3, 5, 6, 5, 6, 3, 3, 3, 7, 5, 1, 5, 4, 2, 5, 4, 4, 1, 5, 6, 4, 5, 4, 3, 3, 3, 4, 4, 4, 6, 4, 1, 1, 4, 7, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 3, 7, 5, 7, 7, 6, 5, 8, 4, 2, 5, 6, 4, 3, 6, 6, 8, 4, 4, 6, 3, 6, 7, 5, 5, 4, 5, 3, 3, 4, 4, 5, 4, 3, 6, 4, 6, 6, 6, 3, 7, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 3, 6, 4, 4, 5, 6, 4, 6, 4, 5, 5, 8, 7, 6, 6, 2, 5, 4, 5, 7, 1, 4, 5, 4, 5, 4, 5, 2, 5, 3, 4, 4, 5, 5, 6, 4, 4, 7, 6, 4, 3, 1, 7, 3, 4, 4, 2, 1, 4, 5, 4, 4, 5, 3, 5, 8, 7, 4, 5, 3, 3, 3, 5, 6, 6, 5, 4, 2, 5, 6, 4, 2, 1, 6, 6, 4, 4, 6, 3, 3, 6, 2, 4, 3, 4, 3, 4, 3, 6, 5, 3, 5, 7, 4, 5, 4, 5, 6, 7, 5, 7, 3, 3, 6, 5, 5, 3, 2, 4, 4, 4, 4, 4, 6, 6, 4, 5, 2, 3, 8, 7, 6, 7, 5, 5, 4, 5, 5, 6, 4, 4, 3, 9, 4, 3, 5, 4, 7, 2, 0, 7, 5, 5, 2, 3, 3, 6, 4, 6, 5, 4, 2, 5, 5, 5, 4, 4, 6, 7, 4, 4, 6, 6, 4, 5, 4, 6, 6, 4, 5, 5, 5, 3, 4, 3, 5, 5, 3, 6, 7, 6, 7, 4, 5, 4, 3, 4, 4, 5, 6, 4, 0, 5, 4, 2, 3, 5, 7, 3, 4, 5, 2, 2, 2, 6, 5, 4, 7, 6, 3, 4, 3, 5, 3, 4, 3, 3, 2, 4, 7, 8, 4, 2, 5, 5, 4, 4, 5, 3, 6, 3, 3, 5, 7, 5, 5, 3, 4, 6, 5, 3, 4, 2, 5, 4, 6, 5, 5, 4, 4, 5, 3, 4, 6, 5, 5, 3, 4, 4, 7, 4, 3, 6, 5, 7, 2, 5, 4, 7, 5, 6, 6, 3, 1, 4, 3, 2, 5, 6, 4, 7, 4, 5, 8, 6, 4, 5, 7, 5, 4, 7, 3, 4, 4, 3, 2, 3, 2, 2, 4, 5, 4, 5, 2, 4, 4, 2, 3, 3, 7, 5, 2, 6, 6, 5, 2, 3, 6, 5, 2, 7, 9, 4, 5, 3, 6, 8, 7, 4, 4, 5, 3, 2, 5, 4, 3, 3, 6, 8, 5, 4, 0, 4, 1, 3, 6, 7, 4, 6, 8, 4, 8, 5, 5, 4, 1, 3, 4, 4, 4, 7, 4, 1 4, 5, 5, 3, 4, 5, 4, 6, 3, 5, 6, 4, 7, 4, 5, 4, 5, 6, 3, 5, 6, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 6, 4, 6, 6, 7, 4, 4, 3, 2, 3, 5, 5, 5, 3, 5, 4, 4, 4, 6, 7, 4, 4, 5, 4, 4, 3, 4, 3, 4, 6, 6, 4, 4, 3, 6, 4, 2, 2, 4, 4, 6, 8, 7, 3, 5, 4, 3, 5, 6, 4, 5, 3, 5, 5, 4, 5, 6, 2, 5, 2, 2, 4, 4, 6, 2, 4, 3, 5, 4, 4, 5, 6, 5, 2, 5, 3, 6, 4, 6, 3, 5, 3, 6, 5, 3, 4, 5, 3, 1, 5, 3, 7, 4, 4, 6, 3, 5, 3, 5, 5, 6, 5, 6, 6, 5, 4, 5, 3, 5, 2, 3, 8, 5, 4, 3, 4, 6, 3, 6, 3, 7, 6, 3, 3, 7, 3, 5, 6, 4, 5, 4, 4, 2, 1, 5, 4, 2, 1, 4, 9, 6, 4, 6, 1, 3, 4, 6, 5, 6, 3, 4, 5, 6, 4, 4, 2, 4, 5, 6, 5, 3, 4, 4, 1, 4, 3, 2, 5, 2, 5, 5, 4, 3, 7, 4, 5, 3, 6, 5, 4, 4, 5, 9, 5, 6, 3, 4, 3, 4, 6, 7, 6, 3, 3, 4, 5, 4, 5, 5, 5, 5, 6, 6, 4, 5, 6, 2, 4, 5, 6, 7, 4, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 5, 6, 5, 6, 6, 2, 5, 6, 5, 4, 3, 7, 5, 6, 4, 3, 4, 3, 4, 5, 6, 5, 3, 3, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 7, 5, 5, 8, 3, 6, 4, 4, 5, 4, 4, 4, 7, 5, 4, 2, 6, 4, 3, 3, 3, 4, 4, 6, 6, 5, 2, 5, 3, 4, 5, 2, 5, 4, 4, 4, 2, 3, 5, 4, 6, 4, 3, 4, 4, 5, 4, 3, 3, 6, 6, 1, 6, 3, 4, 4, 6, 5, 3, 5, 7, 6, 5, 4, 6, 7, 4, 5, 6, 7, 4, 5, 5, 2, 1, 5, 4, 6, 5, 7, 5, 4, 5, 3, 2, 4, 3, 6, 4, 4, 4, 4, 1, 5, 4, 6, 3, 3, 6, 2, 4, 5, 4, 4, 8, 5, 2, 4, 4, 5, 6, 3, 7, 8, 5, 4, 5, 5, 4, 5, 7, 5, 2, 5, 3, 6, 5, 7, 5, 2, 4, 5, 5, 3, 1, 5, 6, 2, 6, 3, 3, 4, 3, 5, 5, 5, 3, 5, 4, 4, 4, 3, 4, 4, 5, 7, 6, 2, 4, 5, 3, 4, 6, 1, 5, 4, 6, 7, 6, 6, 5, 4, 5, 6, 3, 4, 5, 7, 6, 4, 4, 5, 6, 5, 4, 5, 5, 5, 5, 4, 6, 4, 2, 3, 5, 5, 2, 4, 7, 5, 2, 4, 3, 2, 4, 5, 4, 1 4, 6, 7, 6, 5, 4, 6, 6, 3, 6, 5, 4, 5, 5, 6, 3, 6, 6, 5, 4, 7, 5, 4, 5, 5, 4, 2, 2, 6, 4, 6, 4, 5, 6, 6, 3, 4, 4, 6, 4, 2, 7, 4, 7, 5, 4, 4, 5, 3, 5, 3, 5, 4, 3, 2, 5, 4, 4, 2, 5, 6, 3, 5, 5, 1, 4, 5, 4, 1, 5, 5, 4, 3, 6, 4, 5, 6, 5, 5, 4, 2, 6, 4, 2, 4, 7, 1, 4, 4, 3, 0, 4, 3, 3, 5, 5, 5, 4, 4, 2, 5, 6, 4, 5, 5, 6, 9, 3, 7, 5, 3, 4, 5, 2, 4, 4, 5, 5, 4, 7, 3, 4, 7, 5, 4, 3, 5, 8, 7, 5, 3, 2, 5, 4, 2, 7, 6, 5, 1, 4, 1, 4, 4, 3, 7, 5, 6, 2, 4, 2, 6, 4, 7, 5, 5, 4, 4, 3, 5, 3, 4, 4, 6, 4, 4, 5, 4, 3, 3, 4, 6, 4, 3, 7, 5, 4, 6, 5, 7, 3, 4, 4, 4, 6, 3, 3, 4, 5, 4, 4, 5, 4, 6, 0, 4, 4, 6, 5, 4, 5, 4, 5, 4, 5, 3, 6, 1, 4, 4, 4, 3, 5, 4, 3, 6, 4, 0, 6, 4, 4, 6, 6, 4, 1, 4, 3, 8, 4, 6, 5, 5, 4, 5, 4, 6, 3, 6, 2, 6, 5, 4, 7, 4, 4, 5, 4, 5, 3, 4, 3, 7, 5, 0, 4, 3, 6, 5, 6, 6, 4, 6, 4, 6, 6, 7, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 2, 6, 3, 7, 5, 4, 2, 2, 5, 4, 4, 4, 5, 4, 6, 5, 3, 4, 2, 6, 4, 4, 3, 3, 6, 5, 4, 4, 5, 5, 3, 4, 4, 5, 3, 5, 3, 6, 6, 4, 5, 4, 6, 2, 3, 7, 5, 5, 6, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 7, 1, 6, 2, 4, 4, 7, 4, 6, 5, 4, 5, 6, 5, 4, 7, 3, 6, 2, 3, 4, 4, 5, 7, 2, 3, 3, 4, 3, 8, 3, 6, 4, 5, 4, 4, 4, 6, 4, 3, 4, 2, 4, 3, 6, 3, 2, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 7, 4, 0, 5, 5, 3, 5, 4, 6, 6, 6, 6, 3, 4, 6, 6, 4, 6, 4, 4, 5, 4, 6, 2, 6, 4, 1, 3, 3, 6, 4, 7, 6, 4, 7, 3, 5, 6, 3, 4, 4, 5, 5, 6, 4, 2, 3, 3, 3, 5, 4, 4, 1, 5, 2, 5, 4, 3, 6, 6, 1, 5, 4, 2, 6, 6, 4, 3, 4, 4, 3, 5, 5, 3, 2, 4, 3, 5, 0, 5, 3, 4, 5, 7, 3, 2, 6, 2, 4, 8, 3, 4, 6, 4, 7, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 3, 5, 4, -1 2, 4, 7, 4, 5, 3, 6, 5, 5, 2, 5, 4, 7, 3, 4, 5, 6, 6, 5, 5, 5, 3, 3, 7, 6, 5, 4, 5, 7, 3, 7, 6, 4, 5, 6, 5, 5, 5, 6, 1, 6, 4, 9, 5, 5, 4, 4, 4, 3, 7, 4, 4, 2, 1, 4, 6, 3, 5, 5, 4, 4, 6, 2, 4, 3, 6, 4, 5, 5, 6, 4, 4, 5, 6, 4, 3, 4, 4, 6, 3, 4, 3, 4, 5, 3, 4, 7, 4, 6, 6, 4, 1, 2, 2, 7, 6, 0, 0, 6, 3, 1, 3, 6, 7, 4, 4, 5, 6, 8, 6, 1, 5, 4, 6, 3, 7, 4, 5, 6, 3, 4, 3, 3, 3, 5, 6, 3, 6, 5, 4, 5, 3, 6, 6, 4, 4, 3, 7, 9, 5, 5, 4, 4, 2, 3, 5, 3, 5, 6, 6, 7, 5, 5, 3, 6, 4, 4, 7, 4, 4, 3, 4, 5, 2, 4, 3, 5, 4, 2, 2, 7, 5, 4, 7, 5, 5, 5, 2, 3, 2, 6, 4, 4, 5, 5, 3, 3, 6, 6, 4, 4, 4, 3, 3, 8, 3, 5, 5, 3, 3, 5, 5, 6, 5, 2, 1, 5, 7, 7, 2, 5, 4, 3, 5, 5, 4, 2, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 3, 8, 5, 6, 5, 3, 4, 5, 3, 5, 6, 4, 5, 5, 6, 6, 5, 4, 3, 4, 3, 3, 7, 6, 4, 4, 6, 2, 3, 3, 5, 5, 4, 6, 3, 1, 5, 5, 5, 8, 5, 4, 3, 4, 4, 7, 3, 4, 5, 4, 4, 5, 5, 2, 3, 4, 5, 6, 5, 7, 3, 4, 5, 4, 6, 5, 4, 3, 5, 4, 3, 6, 7, 4, 6, 2, 1, 2, 6, 5, 6, 4, 3, 3, 1, 4, 6, 4, 3, 4, 7, 7, 6, 2, 6, 5, 3, 5, 6, 5, 5, 6, 2, 6, 3, 5, 4, 5, 3, 3, 5, 4, 2, 5, 4, 5, 6, 4, 8, 7, 3, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 8, 3, 3, 6, 4, 7, 6, 4, 5, 2, 5, 5, 3, 3, 5, 4, 6, 4, 3, 5, 3, 5, 5, 4, 4, 5, 2, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 6, 4, 6, 4, 5, 1, 5, 3, 6, 4, 6, 5, 3, 3, 5, 2, 3, 3, 6, 5, 3, 3, 1, 3, 4, 3, 5, 4, 6, 5, 4, 7, 4, 3, 3, 5, 4, 6, 8, 6, 6, 2, 3, 3, 9, 3, 4, 5, 6, 6, 7, 5, 7, 4, 1, 3, 6, 3, 5, 4, 3, 6, 4, 4, 3, 9, 5, 2, 4, 3, 0, 3, 4, 2, 4, 5, 6, 7, 5, 4, 4, 3, 6, 4, 6, 7, 4, 5, 4, 3, 6, 6, 6, 7, 1, 3, 4, 7, 3, 3, 4, -1 5, 4, 8, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 7, 5, 3, 7, 4, 1, 7, 8, 3, 4, 7, 2, 5, 8, 1, 5, 5, 4, 0, 5, 5, 5, 3, 6, 5, 1, 6, 4, 3, 3, 6, 6, 4, 6, 7, 4, 3, 6, 6, 3, 4, 5, 6, 5, 3, 3, 5, 5, 5, 2, 6, 6, 3, 6, 6, 3, 6, 4, 3, 4, 3, 4, 4, 4, 2, 2, 6, 5, 6, 4, 4, 6, 6, 4, 5, 5, 1, 1, 3, 6, 6, 3, 5, 3, 4, 4, 5, 6, 5, 4, 6, 4, 6, 4, 4, 7, 4, 3, 6, 5, 3, 5, 4, 4, 4, 5, 4, 7, 4, 6, 5, 5, 2, 6, 4, 5, 6, 5, 3, 6, 7, 7, 5, 5, 4, 3, 2, 6, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 7, 7, 6, 4, 7, 4, 7, 4, 5, 3, 2, 6, 5, 7, 2, 4, 4, 3, 4, 6, 5, 2, 3, 4, 2, 5, 5, 5, 6, 5, 5, 5, 3, 6, 5, 6, 3, 2, 5, 5, 5, 4, 6, 8, 4, 4, 6, 2, 4, 4, 3, 3, 6, 4, 5, 3, 3, 4, 4, 5, 5, 5, 0, 4, 5, 7, 4, 4, 4, 3, 1, 2, 4, 4, 6, 6, 3, 4, 5, 4, 4, 4, 2, 4, 5, 6, 4, 4, 3, 4, 5, 4, 4, 4, 4, 6, 5, 3, 4, 3, 5, 5, 6, 3, 4, 5, 4, 6, 5, 5, 4, 3, 5, 3, 5, 5, 5, 7, 2, 1, 6, 7, 3, 5, 5, 3, 4, 5, 3, 7, 2, 3, 5, 4, 4, 5, 8, 7, 4, 4, 4, 4, 3, 5, 4, 6, 6, 3, 2, 4, 7, 6, 5, 5, 5, 6, 4, 4, 6, 5, 6, 6, 5, 2, 6, 2, 3, 4, 6, 5, 6, 5, 1, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 5, 4, 1, 5, 5, 6, 6, 5, 6, 4, 5, 4, 4, 4, 5, 2, 3, 5, 4, 0, 2, 7, 7, 5, 4, 3, 6, 5, 6, 6, 5, 4, 2, 4, 2, 2, 7, 6, 4, 4, 5, 3, 4, 3, 2, 8, 8, 4, 6, 3, 7, 5, 4, 5, 3, 6, 2, 7, 3, 6, 4, 5, 5, 3, 8, 6, 5, 5, 6, 5, 3, 7, 4, 4, 4, 5, 4, 4, 2, 6, 2, 6, 4, 5, 6, 2, 8, 4, 5, 3, 4, 4, 0, 7, 5, 4, 2, 7, 0, 7, 3, 4, 6, 4, 7, 7, 5, 6, 6, 3, 3, 8, 5, 2, 4, 6, 4, 3, 7, 6, 6, 6, 5, 4, 7, 4, 4, 8, 3, 3, 2, 4, 8, 5, 8, 4, 5, 3, 5, 5, 3, 4, 2, 3, 5, 3, 6, 4, 4, 5, 1, 5, 4, 3, 6, 6, 5, 4, 4, 5, 6, 6, -1 6, 4, 5, 3, 4, 4, 5, 2, 4, 4, 5, 2, 4, 4, 4, 3, 3, 5, 4, 2, 6, 4, 5, 4, 6, 4, 4, 4, 3, 3, 3, 3, 3, 5, 7, 5, 5, 6, 2, 4, 4, 4, 4, 5, 4, 3, 3, 5, 3, 6, 6, 4, 2, 3, 6, 5, 6, 3, 3, 4, 5, 2, 2, 5, 6, 4, 3, 5, 7, 6, 4, 6, 3, 3, 0, 6, 5, 3, 5, 8, 5, 3, 4, 3, 4, 5, 7, 6, 3, 3, 7, 8, 5, 4, 6, 0, 5, 5, 4, 2, 6, 4, 6, 2, 4, 2, 6, 3, 6, 7, 4, 6, 3, 7, 4, 3, 3, 4, 6, 4, 5, 5, 6, 5, 6, 5, 6, 3, 2, 4, 2, 5, 3, 6, 4, 5, 4, 3, 8, 7, 4, 2, 3, 4, 2, 5, 7, 3, 8, 5, 4, 7, 4, 3, 5, 2, 4, 3, 3, 9, 5, 6, 2, 6, 5, 2, 6, 5, 3, 2, 6, 2, 5, 3, 5, 1, 4, 5, 3, 6, 5, 4, 5, 5, 4, 3, 6, 6, 4, 5, 5, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 6, 7, 4, 6, 4, 5, 2, 3, 2, 2, 4, 5, 5, 4, 2, 3, 4, 6, 6, 2, 3, 3, 4, 6, 3, 8, 5, 3, 5, 3, 4, 5, 6, 4, 6, 4, 5, 7, 3, 6, 6, 7, 2, 4, 3, 3, 5, 3, 6, 3, 5, 4, 4, 4, 6, 6, 5, 4, 3, 6, 1, 7, 2, 5, 6, 3, 1, 4, 3, 4, 5, 4, 5, 4, 6, 4, 8, 4, 2, 8, 6, 5, 5, 5, 5, 3, 5, 7, 3, 7, 6, 5, 5, 4, 2, 6, 4, 3, 5, 4, 4, 5, 3, 4, 3, 1, 6, 6, 4, 6, 4, 4, 3, 6, 5, 3, 5, 6, 6, 2, 4, 7, 7, 5, 4, 5, 5, 4, 4, 2, 6, 6, 6, 5, 2, 7, 4, 4, 5, 3, 6, 4, 6, 6, 5, 3, 3, 4, 5, 4, 6, 5, 4, 5, 5, 4, 5, 3, 3, 2, 4, 4, 4, 4, 4, 5, 3, 5, 2, 5, 4, 5, 5, 6, 3, 3, 3, 3, 5, 4, 5, 3, 6, 4, 4, 3, 3, 4, 5, 5, 5, 4, 5, 3, 6, 3, 4, 5, 4, 1, 4, 3, 4, 4, 7, 4, 7, 5, 3, 4, 3, 2, 5, 6, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 6, 4, 4, 5, 3, 4, 3, 2, 4, 4, 6, 5, 5, 2, 3, 7, 2, 5, 3, 5, 4, 6, 6, 4, 3, 3, 4, 5, 6, 3, 9, 5, 6, 5, 6, 5, 5, 2, 5, 3, 5, 3, 3, 4, 4, 6, 2, 4, 3, 4, 5, 5, 7, 4, 4, 4, 3, 2, 5, 4, 3, 4, 6, 6, 5, 4, 3, 6, 4, 4, 5, 5, 2, 1 2, 4, 4, 1, 3, 5, 2, 3, 7, 5, 5, 5, 7, 6, 4, 5, 1, 5, 2, 4, 5, 3, 5, 5, 7, 3, 2, 3, 4, 5, 5, 8, 4, 7, 6, 5, 5, 4, 2, 5, 5, 4, 4, 4, 6, 4, 5, 1, 5, 6, 7, 6, 6, 5, 4, 6, 3, 3, 4, 2, 6, 4, 5, 4, 5, 4, 3, 4, 5, 6, 6, 6, 4, 5, 4, 6, 4, 3, 3, 5, 3, 4, 3, 3, 5, 5, 5, 5, 4, 5, 7, 4, 4, 2, 5, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 6, 6, 6, 5, 4, 2, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 6, 8, 1, 2, 3, 5, 5, 6, 2, 7, 5, 4, 7, 4, 4, 6, 4, 2, 3, 5, 4, 2, 7, 4, 6, 4, 3, 5, 3, 6, 4, 4, 8, 3, 4, 4, 4, 6, 5, 6, 3, 3, 6, 4, 6, 5, 7, 6, 4, 5, 5, 5, 2, 4, 5, 5, 1, 6, 4, 2, 3, 5, 8, 3, 5, 6, 5, 5, 8, 5, 4, 2, 8, 3, 5, 2, 2, 8, 3, 5, 2, 4, 5, 5, 2, 5, 7, 5, 4, 3, 4, 6, 6, 5, 3, 6, 3, 2, 5, 3, 3, 3, 3, 4, 6, 4, 3, 6, 5, 4, 2, 4, 5, 6, 6, 5, 5, 5, 4, 4, 5, 1, 4, 5, 4, 6, 8, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 7, 2, 4, 5, 7, 5, 4, 2, 5, 3, 6, 3, 5, 4, 4, 6, 5, 2, 4, 7, 7, 5, 7, 7, 6, 5, 3, 4, 5, 6, 5, 4, 5, 3, 6, 5, 6, 4, 3, 6, 5, 5, 7, 5, 5, 3, 5, 6, 6, 5, 2, 3, 6, 1, 7, 5, 4, 6, 2, 4, 3, 6, 5, 3, 4, 3, 5, 2, 6, 3, 4, 4, 4, 4, 4, 6, 2, 4, 7, 3, 4, 5, 4, 4, 5, 5, 4, 2, 3, 5, 2, 4, 6, 4, 1, 0, 4, 4, 1, 3, 4, 4, 5, 5, 5, 6, 6, 3, 6, 5, 6, 6, 4, 4, 5, 6, 5, 2, 4, 5, 3, 4, 1, 5, 5, 4, 5, 7, 3, 4, 7, 5, 1, 7, 4, 5, 3, 5, 2, 4, 6, 3, 7, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 4, 5, 4, 7, 3, 4, 4, 6, 7, 2, 5, 6, 7, 4, 4, 4, 7, 5, 6, 4, 4, 5, 5, 5, 2, 4, 4, 3, 5, 4, 3, 3, 5, 5, 4, 4, 8, 3, 3, 4, 4, 3, 3, 2, 4, 5, 1, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 4, 2, 3, 2, 0, 5, 4, 4, 7, 3, 4, 5, 6, 3, 6, 5, 5, 5, 7, 5, 5, 5, 4, 6, 6, -1 5, 3, 5, 4, 5, 7, 6, 4, 4, 1, 5, 5, 5, 8, 5, 4, 5, 3, 2, 3, 5, 5, 4, 5, 7, 6, 5, 3, 4, 5, 6, 6, 3, 5, 4, 5, 4, 6, 4, 4, 6, 4, 4, 6, 4, 5, 2, 3, 5, 5, 6, 6, 4, 2, 6, 3, 5, 4, 5, 4, 6, 3, 1, 5, 6, 4, 5, 4, 5, 3, 8, 6, 3, 4, 5, 5, 4, 3, 3, 6, 3, 4, 4, 6, 4, 7, 4, 5, 3, 5, 4, 5, 7, 4, 6, 5, 6, 4, 5, 5, 4, 7, 3, 3, 3, 4, 6, 4, 2, 6, 5, 5, 3, 4, 3, 4, 2, 4, 3, 4, 4, 1, 3, 5, 6, 4, 7, 8, 5, 6, 3, 4, 4, 6, 5, 3, 4, 2, 6, 3, 5, 4, 4, 4, 5, 6, 4, 4, 5, 6, 3, 4, 3, 3, 5, 3, 2, 3, 5, 5, 4, 1, 5, 2, 5, 4, 4, 3, 6, 2, 6, 3, 3, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 3, 4, 7, 6, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 2, 5, 3, 3, 4, 3, 4, 6, 6, 4, 3, 4, 4, 5, 3, 7, 6, 5, 5, 3, 5, 4, 3, 4, 5, 5, 6, 5, 6, 3, 4, 6, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 2, 5, 5, 4, 5, 5, 7, 4, 4, 3, 4, 3, 6, 7, 6, 3, 5, 5, 4, 4, 5, 3, 4, 2, 1, 5, 4, 3, 6, 3, 5, 4, 2, 4, 5, 4, 6, 6, 8, 3, 3, 4, 4, 7, 3, 7, 4, 2, 2, 4, 4, 4, 6, 5, 5, 6, 2, 7, 7, 3, 6, 4, 5, 8, 4, 7, 4, 0, 4, 2, 4, 5, 3, 2, 4, 6, 3, 5, 6, 7, 4, 6, 3, 4, 2, 5, 3, 3, 4, 6, 5, 7, 2, 5, 7, 5, 3, 7, 4, 4, 5, 3, 3, 3, 4, 5, 6, 5, 4, 6, 3, 5, 4, 6, 5, 2, 3, 4, 5, 5, 3, 4, 8, 5, 4, 8, 5, 4, 3, 5, 4, 8, 5, 3, 5, 6, 5, 5, 6, 4, 3, 3, 5, 7, 3, 4, 4, 5, 5, 4, 5, 6, 4, 3, 5, 4, 3, 2, 6, 5, 7, 7, 4, 5, 3, 5, 5, 5, 3, 4, 1, 6, 7, 3, 2, 2, 6, 3, 4, 5, 7, 6, 4, 4, 4, 5, 6, 6, 5, 4, 3, 5, 3, 4, 5, 6, 3, 5, 4, 5, 6, 6, 5, 4, 3, 5, 2, 3, 6, 4, 4, 5, 5, 4, 5, 3, 4, 6, 4, 4, 3, 5, 4, 5, 2, 4, 5, 6, 5, 1, 5, 6, 4, 3, 2, 6, 3, 4, 6, 6, 3, 4, 5, 2, 6, 3, 6, 4, 5, 5, 4, 4, 4, 3, 5, 5, 7, 5, 4, -1 3, 3, 5, 3, 4, 4, 4, 4, 5, 5, 6, 4, 5, 2, 6, 3, 7, 6, 3, 4, 7, 6, 4, 3, 5, 3, 5, 5, 6, 5, 2, 4, 3, 0, 6, 2, 4, 6, 5, 5, 6, 4, 6, 5, 1, 1, 6, 5, 7, 4, 6, 5, 3, 2, 3, 4, 3, 3, 3, 4, 6, 5, 4, 4, 9, 5, 4, 4, 4, 6, 6, 5, 4, 3, 2, 3, 5, 4, 2, 9, 4, 2, 3, 6, 4, 4, 7, 4, 5, 2, 7, 6, 6, 4, 5, 3, 3, 4, 5, 5, 5, 6, 3, 6, 4, 4, 7, 4, 6, 3, 3, 8, 4, 5, 6, 3, 3, 5, 5, 6, 6, 6, 4, 4, 6, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 6, 7, 6, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 7, 4, 5, 3, 2, 4, 4, 3, 3, 3, 4, 4, 5, 7, 4, 4, 8, 4, 7, 3, 2, 5, 4, 6, 2, 4, 3, 7, 3, 4, 1, 5, 6, 5, 4, 4, 4, 6, 6, 7, 2, 4, 5, 6, 5, 5, 5, 7, 8, 2, 7, 4, 6, 4, 3, 6, 3, 1, 7, 3, 4, 5, 5, 4, 7, 1, 6, 3, 7, 3, 7, 5, 5, 4, 4, 7, 5, 6, 3, 2, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 2, 5, 6, 5, 4, 5, 2, 5, 6, 5, 4, 4, 6, 4, 4, 1, 3, 4, 4, 6, 5, 5, 8, 3, 0, 4, 3, 2, 4, 4, 7, 6, 5, 4, 6, 7, 4, 4, 2, 3, 5, 5, 4, 4, 5, 4, 2, 4, 3, 2, 5, 4, 8, 4, 5, 6, 4, 4, 4, 3, 6, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 2, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 3, 4, 1, 4, 5, 4, 4, 5, 4, 4, 6, 5, 3, 8, 5, 6, 3, 3, 4, 6, 3, 2, 6, 7, 4, 4, 5, 2, 3, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 5, 3, 2, 2, 3, 2, 5, 4, 5, 6, 4, 7, 4, 6, 7, 3, 7, 4, 3, 5, 5, 5, 4, 3, 4, 4, 7, 7, 5, 4, 5, 5, 4, 2, 3, 6, 2, 4, 4, 7, 7, 4, 1, 5, 6, 5, 4, 3, 4, 5, 6, 4, 3, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 6, 5, 2, 6, 3, 6, 1, 4, 5, 4, 4, 4, 6, 6, 3, 5, 5, 3, 5, 3, 6, 4, 2, 6, 1, 6, 5, 4, 5, 3, 8, 5, 3, 3, 6, 7, 7, 3, 5, 3, 3, 4, 5, 6, 6, 4, 3, 3, 5, 3, 1, 3, 4, 4, 4, 7, 6, 5, 4, 7, 4, 6, 3, 3, 6, 3, 2, 4, 4, 4, 5, 5, 5, 4, 4, -1 1, 3, 7, 4, 4, 3, 3, 3, 4, 7, 4, 4, 6, 3, 7, 4, 4, 4, 4, 3, 6, 7, 8, 6, 6, 6, 1, 7, 6, 7, 5, 4, 5, 2, 8, 6, 4, 8, 1, 3, 4, 5, 5, 3, 4, 3, 4, 6, 6, 5, 3, 5, 4, 4, 5, 4, 5, 5, 2, 5, 8, 5, 3, 4, 4, 5, 4, 5, 1, 5, 5, 5, 5, 6, 4, 5, 4, 4, 8, 9, 4, 4, 2, 5, 4, 4, 5, 5, 5, 6, 2, 4, 4, 5, 2, 4, 4, 6, 4, 5, 6, 5, 4, 3, 2, 6, 6, 5, 2, 4, 4, 6, 6, 5, 4, 0, 4, 3, 5, 4, 4, 3, 5, 7, 5, 5, 3, 6, 7, 5, 3, 4, 7, 5, 4, 3, 3, 4, 2, 5, 2, 5, 6, 2, 4, 5, 6, 1, 4, 6, 7, 3, 3, 7, 6, 5, 7, 5, 4, 3, 5, 4, 4, 2, 5, 5, 2, 4, 4, 2, 4, 4, 5, 4, 5, 5, 3, 0, 6, 2, 6, 5, 6, 5, 5, 3, 7, 6, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 5, 2, 6, 4, 5, 6, 3, 3, 4, 4, 3, 5, 3, 3, 0, 7, 6, 3, 5, 2, 5, 5, 4, 3, 4, 3, 4, 4, 4, 2, 3, 5, 4, 2, 5, 5, 4, 5, 5, 5, 6, 5, 4, 6, 6, 6, 5, 6, 7, 3, 4, 7, 2, 5, 1, 6, 4, 3, 4, 4, 4, 4, 6, 4, 6, 4, 5, 2, 5, 6, 2, 3, 3, 6, 7, 3, 5, 5, 4, 5, 4, 5, 3, 7, 7, 4, 5, 3, 6, 2, 5, 5, 6, 4, 7, 6, 5, 4, 5, 4, 4, 6, 5, 6, 6, 4, 3, 6, 7, 6, 6, 4, 3, 4, 5, 7, 7, 4, 5, 4, 7, 7, 4, 6, 5, 6, 6, 4, 4, 4, 5, 3, 7, 4, 4, 1, 4, 3, 4, 3, 1, 5, 5, 5, 3, 3, 5, 4, 5, 6, 4, 3, 8, 4, 6, 3, 6, 6, 3, 5, 3, 4, 3, 6, 5, 3, 6, 6, 5, 2, 8, 4, 5, 4, 3, 5, 4, 6, 3, 5, 6, 4, 3, 5, 5, 3, 6, 3, 4, 3, 5, 4, 3, 3, 4, 3, 3, 2, 7, 4, 4, 2, 3, 5, 5, 1, 3, 5, 3, 4, 5, 5, 4, 6, 3, 5, 3, 5, 6, 3, 4, 3, 5, 5, 7, 7, 2, 5, 5, 4, 6, 5, 5, 4, 5, 7, 4, 5, 5, 2, 4, 5, 5, 5, 2, 2, 3, 6, 5, 2, 4, 6, 3, 7, 8, 6, 4, 4, 6, 5, 7, 5, 4, 3, 2, 3, 6, 4, 2, 3, 6, 7, 3, 3, 2, 4, 5, 5, 5, 6, 6, 5, 6, 6, 6, 3, 6, 4, 5, 3, 5, 2, 2, 3, 6, 6, 3, 6, 6, 3, 5, 4, 1 3, 5, 5, 4, 5, 3, 6, 4, 3, 5, 4, 4, 4, 4, 4, 6, 6, 3, 5, 8, 4, 3, 7, 5, 5, 7, 1, 4, 6, 4, 3, 4, 2, 3, 6, 5, 5, 5, 4, 3, 6, 2, 6, 5, 3, 4, 4, 6, 6, 7, 4, 7, 5, 5, 4, 6, 7, 3, 4, 5, 4, 6, 4, 5, 3, 5, 3, 6, 7, 5, 5, 3, 4, 3, 6, 6, 3, 5, 4, 2, 3, 5, 2, 5, 2, 5, 4, 3, 4, 4, 4, 7, 5, 4, 3, 3, 7, 5, 7, 4, 4, 5, 6, 3, 2, 7, 4, 5, 8, 3, 4, 3, 4, 5, 2, 6, 5, 4, 4, 3, 3, 4, 5, 3, 4, 4, 7, 7, 7, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 7, 6, 6, 3, 5, 5, 5, 6, 7, 3, 3, 3, 6, 7, 4, 5, 4, 6, 3, 5, 6, 7, 3, 4, 3, 5, 4, 8, 5, 4, 6, 6, 4, 5, 5, 2, 4, 3, 2, 5, 6, 6, 6, 7, 5, 4, 6, 4, 3, 4, 2, 5, 3, 4, 4, 4, 6, 6, 6, 6, 4, 5, 1, 4, 4, 5, 3, 5, 4, 6, 5, 2, 3, 1, 5, 4, 3, 4, 6, 3, 6, 3, 5, 2, 4, 6, 4, 7, 5, 4, 5, 4, 6, 3, 1, 3, 4, 6, 2, 7, 3, 2, 5, 5, 3, 5, 6, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 6, 3, 2, 6, 5, 5, 3, 3, 3, 4, 3, 3, 4, 4, 7, 6, 2, 6, 4, 3, 3, 5, 5, 5, 7, 5, 4, 3, 6, 5, 7, 8, 4, 2, 8, 4, 3, 6, 6, 6, 3, 5, 5, 6, 4, 5, 4, 4, 7, 6, 3, 2, 5, 4, 4, 5, 7, 5, 3, 6, 2, 4, 5, 3, 5, 2, 7, 2, 6, 2, 2, 5, 2, 6, 2, 2, 3, 4, 4, 6, 6, 6, 5, 3, 6, 5, 3, 4, 4, 5, 4, 6, 7, 2, 5, 5, 8, 4, 3, 5, 7, 5, 5, 6, 3, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 6, 6, 5, 2, 4, 6, 4, 5, 3, 3, 5, 5, 3, 3, 4, 3, 3, 5, 8, 3, 5, 5, 7, 4, 6, 6, 4, 3, 3, 4, 5, 2, 8, 6, 1, 4, 6, 4, 3, 3, 4, 4, 6, 5, 7, 6, 2, 4, 6, 2, 3, 3, 4, 4, 6, 2, 3, 6, 5, 7, 4, 5, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4, 7, 7, 6, 5, 5, 4, 3, 4, 5, 4, 4, 7, 5, 6, 4, 5, 2, 5, 4, 5, 2, 7, 4, 4, 3, 5, 6, 3, 6, 2, 1, 6, 4, 5, 4, 2, 3, 4, 5, 3, 5, 7, 7, 7, 4, 4, 2, 3, 6, 4, 2, 1 6, 4, 4, 4, 2, 2, 9, 4, 4, 3, 4, 5, 5, 6, 5, 3, 2, 5, 4, 4, 4, 6, 6, 6, 5, 6, 5, 6, 2, 4, 4, 6, 2, 1, 4, 6, 1, 5, 5, 5, 4, 5, 5, 4, 4, 4, 6, 5, 5, 3, 6, 4, 4, 5, 4, 7, 6, 3, 6, 3, 6, 8, 4, 7, 3, 6, 4, 5, 5, 5, 4, 6, 2, 6, 3, 3, 3, 3, 6, 5, 7, 5, 2, 3, 5, 6, 9, 4, 4, 5, 4, 6, 3, 4, 5, 5, 5, 3, 5, 7, 4, 4, 5, 2, 4, 5, 6, 5, 7, 8, 5, 5, 6, 5, 3, 4, 5, 4, 5, 5, 0, 7, 2, 5, 5, 6, 5, 6, 6, 5, 5, 5, 5, 5, 7, 5, 2, 4, 2, 3, 4, 5, 5, 5, 4, 5, 3, 6, 4, 6, 6, 4, 6, 5, 1, 6, 3, 4, 5, 3, 4, 3, 6, 4, 4, 4, 5, 5, 2, 6, 4, 2, 4, 2, 5, 5, 5, 5, 2, 7, 3, 4, 4, 5, 5, 3, 5, 6, 5, 5, 5, 4, 4, 4, 7, 5, 5, 4, 5, 6, 3, 5, 5, 5, 2, 5, 4, 2, 3, 5, 6, 5, 5, 3, 2, 6, 2, 2, 5, 4, 4, 6, 4, 6, 4, 4, 6, 2, 6, 3, 5, 5, 6, 4, 5, 4, 5, 4, 4, 7, 5, 7, 4, 4, 7, 4, 6, 5, 5, 8, 5, 2, 7, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 3, 5, 5, 4, 0, 4, 7, 3, 5, 4, 3, 3, 7, 7, 4, 4, 4, 5, 5, 4, 6, 5, 3, 5, 6, 4, 4, 5, 2, 3, 4, 4, 5, 2, 2, 2, 5, 5, 2, 4, 9, 4, 6, 3, 3, 6, 2, 5, 4, 4, 3, 3, 6, 4, 2, 4, 5, 6, 5, 5, 4, 4, 3, 5, 3, 3, 5, 1, 4, 5, 6, 4, 2, 4, 3, 4, 4, 4, 3, 4, 5, 6, 3, 4, 3, 2, 3, 4, 6, 4, 2, 5, 5, 5, 5, 7, 3, 4, 4, 6, 5, 3, 1, 5, 5, 2, 7, 4, 3, 4, 9, 6, 5, 5, 5, 3, 3, 5, 2, 3, 2, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 6, 6, 5, 2, 2, 7, 6, 6, 3, 3, 7, 3, 4, 5, 6, 5, 4, 3, 3, 4, 5, 7, 4, 4, 4, 6, 6, 4, 4, 5, 4, 4, 5, 3, 6, 2, 3, 6, 6, 3, 4, 3, 5, 4, 6, 4, 5, 7, 5, 3, 5, 3, 4, 4, 6, 2, 5, 6, 4, 3, 2, 3, 5, 6, 6, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 6, 5, 4, 6, 7, 5, 3, 5, 5, 6, 5, 4, 4, 3, 5, 7, 5, 4, 4, 9, 5, 4, 5, 5, 5, 3, 4, 5, 5, -1 4, 3, 5, 4, 3, 2, 6, 5, 4, 4, 5, 4, 3, 8, 4, 4, 6, 5, 4, 3, 8, 6, 6, 3, 4, 4, 3, 7, 6, 5, 4, 5, 2, 5, 6, 7, 4, 5, 6, 5, 4, 3, 4, 3, 3, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 7, 6, 4, 3, 5, 3, 4, 5, 6, 4, 5, 4, 3, 6, 6, 4, 2, 3, 6, 2, 6, 2, 4, 3, 3, 4, 4, 4, 4, 6, 4, 4, 5, 4, 5, 6, 5, 4, 2, 6, 4, 5, 3, 5, 3, 5, 7, 4, 3, 6, 7, 2, 5, 3, 4, 3, 5, 5, 6, 5, 4, 3, 6, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 5, 6, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 2, 3, 5, 4, 5, 6, 2, 5, 3, 7, 3, 6, 3, 6, 4, 5, 5, 4, 6, 4, 2, 5, 7, 7, 4, 4, 3, 3, 7, 5, 4, 6, 3, 3, 1, 5, 4, 2, 6, 6, 7, 5, 3, 5, 4, 6, 3, 3, 6, 6, 6, 4, 6, 6, 4, 4, 6, 3, 5, 5, 4, 4, 3, 7, 3, 5, 4, 3, 5, 6, 5, 5, 5, 4, 4, 4, 7, 3, 3, 7, 4, 6, 5, 4, 6, 6, 3, 4, 4, 4, 3, 4, 5, 7, 4, 3, 3, 2, 3, 5, 3, 5, 3, 2, 4, 5, 8, 5, 3, 7, 4, 5, 5, 3, 5, 3, 4, 4, 5, 2, 6, 6, 4, 4, 4, 7, 3, 6, 2, 5, 4, 7, 5, 7, 3, 4, 3, 4, 6, 6, 4, 5, 5, 5, 4, 5, 5, 5, 3, 6, 4, 3, 5, 3, 5, 4, 3, 4, 3, 8, 5, 3, 4, 6, 5, 6, 7, 5, 4, 3, 5, 6, 6, 7, 5, 5, 6, 5, 7, 7, 4, 3, 2, 5, 2, 0, 5, 5, 7, 5, 4, 5, 4, 5, 4, 5, 1, 3, 4, 1, 5, 5, 4, 2, 4, 3, 5, 6, 3, 3, 1, 4, 3, 5, 6, 2, 6, 6, 5, 5, 3, 4, 2, 4, 3, 6, 3, 5, 4, 8, 6, 3, 6, 5, 4, 3, 3, 2, 5, 3, 7, 3, 3, 5, 7, 4, 4, 3, 4, 3, 4, 6, 5, 5, 6, 5, 4, 4, 5, 3, 7, 6, 4, 4, 8, 5, 5, 4, 2, 3, 2, 3, 4, 4, 3, 3, 4, 5, 4, 2, 4, 5, 3, 5, 6, 6, 6, 4, 3, 5, 3, 4, 6, 2, 5, 3, 6, 5, 6, 4, 4, 3, 3, 6, 6, 8, 6, 4, 6, 3, 3, 4, 5, 5, 4, 3, 6, 6, 6, 5, 2, 5, 3, 4, 5, 6, 6, 5, 5, 4, 2, 4, 5, 6, 6, 5, 4, 5, 5, 6, 3, 5, 5, 2, 4, 7, 6, 5, 5, 7, 3, 5, 7, 4, 4, -1 7, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 7, 4, 1, 5, 5, 3, 5, 6, 5, 6, 3, 5, 3, 4, 7, 6, 6, 5, 3, 3, 4, 6, 4, 5, 4, 4, 6, 4, 4, 4, 4, 6, 6, 4, 2, 6, 5, 2, 4, 4, 4, 5, 6, 3, 4, 5, 2, 4, 4, 2, 3, 6, 2, 4, 5, 1, 6, 5, 6, 4, 5, 4, 4, 5, 4, 8, 5, 2, 4, 2, 4, 4, 6, 6, 3, 7, 4, 4, 6, 5, 1, 4, 6, 4, 5, 8, 3, 5, 3, 5, 7, 7, 4, 3, 7, 2, 4, 5, 2, 4, 4, 7, 5, 6, 5, 3, 5, 3, 5, 5, 8, 6, 7, 5, 7, 4, 5, 4, 4, 3, 7, 4, 5, 3, 4, 4, 8, 4, 6, 4, 5, 4, 6, 3, 4, 4, 5, 7, 5, 5, 3, 5, 5, 5, 4, 4, 0, 4, 5, 6, 5, 5, 4, 5, 4, 4, 3, 1, 5, 5, 4, 4, 5, 3, 5, 6, 3, 7, 3, 2, 2, 5, 6, 5, 7, 6, 6, 6, 1, 3, 5, 5, 4, 4, 7, 4, 3, 3, 3, 5, 5, 3, 2, 4, 7, 4, 7, 6, 4, 3, 3, 5, 6, 3, 6, 6, 4, 6, 6, 2, 4, 5, 6, 6, 7, 3, 4, 5, 3, 5, 5, 4, 7, 6, 3, 6, 4, 6, 4, 4, 5, 4, 3, 4, 6, 2, 3, 1, 5, 4, 3, 3, 5, 5, 5, 4, 2, 6, 2, 5, 5, 4, 6, 6, 2, 3, 7, 5, 3, 6, 3, 5, 2, 7, 2, 5, 3, 2, 3, 9, 3, 7, 5, 3, 5, 5, 4, 2, 4, 6, 5, 4, 4, 6, 4, 4, 5, 6, 4, 3, 3, 6, 2, 3, 6, 3, 5, 5, 5, 2, 4, 4, 4, 5, 4, 6, 4, 7, 7, 4, 3, 5, 4, 6, 6, 4, 8, 6, 1, 4, 5, 5, 3, 6, 4, 6, 4, 7, 5, 4, 2, 4, 5, 5, 5, 6, 4, 2, 5, 3, 5, 6, 4, 2, 8, 6, 3, 4, 5, 5, 4, 5, 2, 6, 5, 9, 4, 4, 6, 6, 6, 5, 4, 3, 6, 6, 4, 3, 4, 4, 5, 3, 0, 2, 4, 3, 4, 4, 7, 2, 4, 4, 3, 4, 4, 4, 5, 6, 2, 5, 5, 5, 4, 7, 4, 3, 5, 3, 5, 3, 6, 3, 4, 6, 4, 5, 5, 5, 4, 4, 4, 5, 7, 6, 4, 5, 8, 5, 5, 3, 3, 5, 6, 2, 3, 4, 7, 6, 4, 4, 4, 5, 5, 4, 7, 3, 6, 4, 5, 4, 3, 6, 6, 4, 4, 6, 5, 5, 3, 3, 3, 4, 5, 7, 3, 4, 5, 6, 3, 4, 6, 6, 3, 4, 4, 5, 1, 4, 3, 8, 2, 3, 4, 7, 4, 5, 4, 4, 2, 4, 3, 5, 4, 3, 5, 4, 5, 1 3, 5, 3, 4, 3, 6, 6, 3, 5, 4, 5, 6, 6, 3, 5, 4, 5, 5, 5, 7, 4, 5, 5, 4, 3, 2, 4, 2, 6, 4, 4, 3, 3, 3, 6, 4, 5, 7, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 2, 5, 7, 5, 4, 5, 5, 4, 9, 1, 5, 1, 4, 6, 3, 5, 6, 3, 5, 5, 6, 5, 6, 8, 6, 4, 4, 4, 3, 6, 4, 6, 4, 2, 4, 4, 7, 4, 4, 5, 4, 4, 2, 6, 6, 3, 3, 3, 3, 6, 2, 4, 6, 6, 6, 2, 3, 3, 4, 2, 4, 5, 5, 3, 7, 4, 4, 4, 3, 4, 4, 1, 6, 4, 7, 7, 5, 8, 7, 6, 3, 4, 6, 5, 7, 5, 6, 4, 6, 3, 6, 6, 4, 6, 3, 5, 2, 5, 5, 5, 2, 9, 7, 6, 3, 6, 5, 5, 7, 6, 5, 5, 5, 5, 4, 4, 5, 5, 7, 2, 2, 4, 5, 5, 4, 4, 5, 7, 4, 6, 6, 3, 6, 1, 2, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 7, 5, 5, 4, 6, 4, 4, 4, 5, 4, 5, 3, 4, 7, 4, 4, 5, 5, 9, 3, 5, 4, 5, 4, 4, 3, 3, 5, 5, 6, 1, 4, 5, 6, 4, 5, 4, 4, 5, 6, 7, 5, 6, 4, 2, 3, 5, 6, 3, 7, 4, 5, 7, 4, 4, 2, 3, 5, 2, 2, 4, 3, 2, 3, 3, 1, 7, 4, 5, 5, 6, 2, 6, 4, 5, 4, 2, 5, 2, 4, 5, 4, 7, 4, 6, 4, 5, 5, 3, 5, 4, 5, 5, 5, 6, 3, 4, 4, 5, 3, 3, 7, 6, 5, 4, 5, 6, 6, 6, 5, 2, 5, 5, 3, 6, 4, 4, 3, 5, 8, 2, 6, 6, 5, 2, 7, 6, 4, 1, 5, 5, 1, 3, 4, 5, 5, 5, 4, 6, 6, 4, 5, 4, 2, 4, 6, 4, 3, 5, 4, 4, 5, 3, 6, 3, 4, 3, 4, 2, 6, 5, 7, 5, 4, 5, 5, 5, 5, 5, 7, 3, 5, 7, 5, 5, 3, 6, 2, 5, 5, 3, 1, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 6, 2, 4, 3, 7, 4, 4, 3, 7, 5, 5, 6, 5, 6, 5, 4, 5, 2, 2, 3, 2, 3, 4, 4, 5, 3, 5, 2, 4, 6, 3, 4, 5, 7, 7, 6, 5, 6, 2, 4, 4, 3, 5, 6, 5, 7, 4, 6, 4, 2, 4, 4, 4, 3, 6, 5, 4, 5, 0, 5, 3, 6, 3, 7, 4, 3, 5, 6, 4, 2, 5, 5, 3, 5, 2, 5, 4, 6, 4, 2, 5, 3, 6, 4, 8, 4, 5, 6, 5, 2, 6, 6, 2, 4, 6, 4, 5, 5, 2, 5, 5, 2, 6, 7, -1 4, 3, 5, 3, 3, 6, 4, 5, 4, 4, 7, 4, 6, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 6, 2, 4, 2, 3, 6, 4, 6, 4, 4, 4, 4, 8, 5, 6, 4, 3, 7, 3, 5, 3, 5, 3, 5, 3, 5, 4, 6, 4, 4, 4, 4, 5, 5, 4, 6, 7, 5, 3, 4, 2, 5, 6, 2, 4, 4, 1, 5, 5, 3, 4, 5, 5, 7, 7, 6, 9, 6, 4, 3, 7, 0, 5, 5, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 4, 7, 5, 5, 6, 4, 6, 4, 4, 4, 6, 4, 2, 4, 6, 6, 4, 4, 3, 6, 4, 5, 5, 6, 3, 5, 5, 5, 3, 0, 2, 6, 1, 6, 4, 4, 4, 5, 6, 4, 4, 6, 4, 5, 6, 7, 5, 5, 5, 5, 4, 6, 4, 5, 5, 3, 4, 8, 5, 3, 3, 5, 6, 3, 4, 6, 5, 3, 2, 3, 9, 6, 2, 7, 3, 4, 5, 7, 6, 4, 8, 7, 6, 4, 5, 3, 4, 4, 6, 3, 3, 7, 5, 6, 7, 6, 3, 6, 3, 5, 5, 5, 5, 7, 2, 4, 4, 6, 6, 1, 4, 3, 4, 5, 6, 6, 6, 5, 4, 2, 5, 4, 4, 6, 3, 3, 4, 7, 4, 5, 6, 2, 3, 6, 6, 5, 5, 3, 4, 5, 8, 2, 4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 7, 5, 6, 1, 3, 6, 5, 5, 3, 4, 3, 2, 7, 3, 7, 4, 5, 3, 7, 4, 4, 5, 3, 5, 2, 1, 4, 6, 6, 4, 2, 3, 6, 6, 2, 6, 3, 4, 4, 4, 6, 4, 6, 4, 5, 3, 5, 5, 5, 4, 6, 5, 6, 6, 5, 4, 3, 9, 8, 3, 6, 5, 4, 4, 3, 6, 2, 5, 5, 4, 1, 3, 5, 5, 2, 7, 3, 3, 5, 6, 4, 5, 5, 4, 3, 2, 3, 5, 6, 5, 7, 4, 5, 3, 6, 4, 9, 5, 4, 3, 5, 8, 4, 5, 2, 5, 4, 4, 6, 5, 4, 4, 4, 5, 6, 7, 6, 3, 7, 7, 4, 2, 4, 1, 3, 4, 1, 4, 3, 4, 5, 5, 5, 4, 3, 7, 3, 3, 5, 3, 3, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 5, 4, 4, 6, 4, 5, 4, 6, 4, 7, 3, 3, 4, 5, 5, 4, 3, 4, 6, 5, 4, 6, 6, 5, 3, 7, 7, 8, 3, 5, 6, 5, 4, 3, 3, 7, 7, 6, 5, 4, 2, 6, 2, 4, 4, 6, 5, 7, 5, 5, 6, 3, 5, 7, 3, 3, 5, 4, 3, 4, 4, 5, 7, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 6, 4, 6, 4, 7, 5, 3, 3, 4, 5, 1 6, 5, 4, 5, 2, 3, 5, 5, 6, 8, 3, 5, 5, 4, 5, 6, 7, 3, 4, 4, 4, 5, 7, 5, 5, 4, 5, 1, 7, 2, 3, 4, 4, 6, 7, 3, 4, 6, 4, 5, 6, 3, 6, 4, 4, 6, 4, 4, 6, 5, 5, 3, 3, 4, 4, 7, 5, 3, 2, 3, 3, 3, 2, 4, 6, 5, 3, 4, 3, 4, 3, 5, 5, 6, 6, 8, 3, 2, 3, 8, 5, 4, 2, 5, 7, 3, 3, 5, 4, 4, 4, 4, 4, 1, 5, 3, 4, 4, 6, 4, 4, 7, 4, 5, 6, 6, 5, 5, 7, 5, 3, 3, 7, 7, 3, 5, 3, 3, 7, 6, 3, 6, 4, 7, 5, 5, 2, 5, 6, 5, 5, 4, 4, 6, 6, 4, 5, 7, 6, 6, 3, 4, 3, 3, 5, 5, 6, 5, 1, 7, 3, 4, 4, 6, 4, 3, 7, 4, 6, 5, 4, 5, 4, 7, 3, 4, 6, 6, 2, 3, 4, 7, 2, 6, 5, 6, 4, 3, 3, 4, 3, 5, 4, 2, 6, 5, 3, 5, 8, 4, 5, 3, 6, 4, 5, 7, 5, 4, 4, 4, 6, 4, 5, 2, 4, 6, 4, 2, 6, 5, 1, 4, 4, 7, 4, 4, 5, 5, 3, 4, 5, 4, 4, 2, 4, 6, 7, 5, 3, 4, 5, 1, 7, 6, 2, 2, 3, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 4, 6, 5, 5, 7, 4, 3, 2, 5, 3, 6, 5, 6, 5, 6, 3, 5, 2, 4, 3, 4, 2, 4, 5, 5, 5, 4, 5, 4, 7, 3, 5, 5, 3, 6, 2, 4, 7, 6, 6, 1, 5, 2, 3, 4, 4, 6, 3, 3, 5, 5, 5, 5, 5, 5, 4, 2, 5, 4, 6, 6, 5, 6, 4, 5, 3, 2, 3, 3, 6, 3, 7, 5, 5, 6, 5, 5, 4, 6, 6, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 3, 3, 1, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 6, 4, 6, 4, 6, 4, 5, 4, 6, 6, 5, 4, 6, 7, 6, 3, 3, 6, 5, 4, 4, 4, 6, 3, 6, 3, 6, 3, 6, 2, 6, 4, 5, 4, 4, 5, 4, 4, 5, 0, 2, 4, 3, 5, 6, 5, 5, 4, 3, 5, 5, 6, 6, 5, 4, 3, 7, 3, 6, 5, 4, 4, 2, 4, 8, 3, 2, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 3, 6, 5, 4, 2, 5, 4, 4, 5, 4, 2, 4, 2, 4, 1, 2, 3, 7, 4, 6, 4, 5, 3, 5, 7, 5, 4, 3, 4, 5, 5, 5, 4, 4, 7, 3, 4, 4, 4, 2, 2, 4, 5, 4, 4, 5, 7, 4, 9, 4, 3, 5, 5, 3, 4, 3, 2, 6, 3, 4, 2, 5, 2, 5, 4, 4, 5, 5, -1