Some solutions for n=3
..0..2..0....0..0..0....2..0..0....2..0..0....0..0..0....0..0..0....0..0..1
..0..0..0....0..0..4....0..1..0....0..0..2....0..1..0....0..4..0....0..0..3
..0..0..5....0..1..0....0..0..0....0..1..2....0..2..0....1..0..1....0..3..0
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