Some solutions for n=7
..1..4....3..4....3..3....2..3....3..2....4..3....2..3....4..2....1..4....4..1
..1..1....2..2....4..4....2..4....2..1....2..3....1..1....2..3....1..4....4..1
..4..2....2..2....1..3....2..2....2..1....3..2....2..2....3..1....1..4....3..1
..4..4....3..2....1..3....3..3....3..3....3..4....3..3....2..1....4..4....4..4
..1..2....2..4....4..4....4..2....2..1....3..1....2..2....4..3....1..1....4..3
..1..1....2..3....1..3....2..4....3..1....1..1....1..1....3..1....1..4....4..2
..4..4....3..2....1..3....3..3....2..3....1..3....3..2....1..1....4..4....2..4
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