Some solutions for n=4:
..0..2..3..1..2....1..3..1..2..2....1..2..2..3..1....1..3..0..1..0
..2..2..3..3..3....3..2..0..1..3....1..2..3..3..3....1..3..0..0..0
..3..2..2..2..0....2..3..2..0..0....1..2..2..2..2....1..3..3..3..3
..2..2..1..1..1....0..2..0..3..1....1..1..1..2..3....1..1..3..1..1
..2..1..1..3..2....2..1..3..2..1....0..0..0..2..0....2..1..3..3..1
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