Some solutions for n=1
..5....1....4....5....3....2....0....0....4....5....0....0....0....5....2....2
..2....5....2....4....1....4....2....2....0....0....1....1....5....3....1....3
..2....5....5....3....1....5....4....2....2....2....1....3....4....0....5....4
..0....0....1....0....1....5....5....5....4....2....4....3....4....1....2....5
..3....3....1....5....1....1....5....3....2....2....0....1....1....3....0....5
..4....2....4....2....3....5....2....1....5....4....3....3....3....3....1....3