Some solutions for n=3
..x..0..x..0..x..1....x..0..x..1..x..0....x..0..x..2..x..2....x..0..x..2..x..2
..2..x..1..x..2..x....1..x..2..x..1..x....2..x..1..x..0..x....2..x..1..x..0..x
..x..2..x..1..x..1....x..2..x..1..x..2....x..2..x..0..x..1....x..1..x..0..x..1
..0..x..1..x..2..x....1..x..0..x..0..x....0..x..2..x..2..x....2..x..2..x..2..x
..x..1..x..0..x..1....x..0..x..1..x..2....x..1..x..2..x..1....x..0..x..2..x..1
..0..x..2..x..0..x....2..x..2..x..0..x....0..x..1..x..0..x....2..x..1..x..0..x
|