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