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