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