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