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