Some solutions for n=3
..0..1..0....0..3..0....0..0..1....0..0..0....0..3..0....2..1..0....0..1..0
..1..1..1....0..2..1....1..4..0....2..6..0....0..2..1....0..5..0....2..3..1
..0..5..0....1..0..1....1..4..0....1..2..0....1..1..0....0..1..0....1..1..0
..1..1..1....0..3..1....0..0..1....1..0..0....2..2..0....0..1..2....0..3..0
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