Some solutions for n=3
..0..1..3....1..2..3....2..3..0....0..2..0....2..3..0....0..3..2....0..0..2
..1..3..2....0..0..2....3..2..0....0..2..3....2..2..2....2..3..3....0..3..3
..3..0..0....0..0..1....3..2..0....1..3..2....2..2..2....1..2..2....3..1..0
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