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