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