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