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