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