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