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