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