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