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