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