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