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