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