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