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