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