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