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