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