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