Some solutions for n=8:
..3....0....1....3....0....0....3....3....0....3....3....3....0....0....4....0
..2....2....5....4....1....4....4....2....4....1....2....4....3....2....0....2
..1....1....4....2....0....5....0....0....0....4....5....1....1....3....4....5
..2....0....3....1....3....1....3....5....1....0....4....5....0....2....3....2
..0....3....5....5....4....3....1....2....5....3....0....0....4....4....5....0
..5....4....0....3....0....4....5....4....4....1....3....1....5....3....0....5
..2....2....3....1....4....5....2....2....1....2....1....0....0....2....2....1
..5....4....4....0....3....1....1....0....5....5....5....5....4....5....1....5
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