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