Some solutions for n=4
..0..0..1..1..2..2..3....0..1..0..2..1..3..3....0..1..2..2..2..3..0
..3..0..0..1..1..3..3....0..0..2..1..2..2..0....0..1..1..2..3..3..0
..0..3..1..0..2..2..3....3..1..0..2..2..3..3....0..1..1..2..3..3..0
..2..1..0..2..1..3..2....1..3..1..1..2..3..0....1..1..2..2..3..3..0
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