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