Some solutions for n=5
..0..0....1..0....2..1....0..0....0..2....0..0....0..1....2..0....1..0....0..2
..3..0....1..1....2..1....3..1....2..0....0..1....0..1....1..2....2..1....0..3
..2..1....1..1....1..3....1..3....1..1....0..1....1..1....2..2....2..1....3..1
..2..2....3..1....1..3....3..2....0..3....0..1....1..1....2..3....3..1....2..2
..2..3....2..3....1..3....2..3....3..1....1..0....2..0....2..3....1..3....3..1
..2..3....2..3....3..2....2..3....1..3....1..3....1..3....2..3....1..3....1..3