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