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