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