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