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