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