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