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