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