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