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