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