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