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