Some solutions for n=1
..1....5....0....5....5....0....5....0....0....0....5....5....0....4....5....6
..3....2....2....3....0....0....1....0....4....6....0....0....1....1....0....1
..5....0....1....1....3....0....6....4....2....6....0....6....1....6....4....5
..1....5....1....1....5....2....2....0....6....6....0....3....3....4....2....5
..3....3....3....1....2....5....4....3....2....3....0....4....3....4....4....6
..4....0....0....5....6....1....5....3....5....2....1....1....5....4....4....2