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