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