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