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