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