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