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