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