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