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