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