Some solutions for n=4
..0..1..0..1..0..1....0..1..2..0..1..2....0..1..2..0..1..2....0..1..0..1..0..1
..1..0..1..0..1..0....1..0..3..1..0..3....2..0..1..2..3..4....1..0..1..0..1..0
..0..1..0..1..0..1....0..2..4..5..3..1....0..1..2..4..2..3....0..1..0..1..2..3
..1..0..1..0..1..0....6..0..5..4..0..5....3..5..0..3..1..5....1..4..5..6..3..4
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