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