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