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