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