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