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