Some solutions for n=5
..2...-1....1....1....2....3....3...-2....3....3....1....3....3...-2....4...-2
..3...-2...-2....4...-2....2...-4....1...-1....4...-2....4...-3....3....2...-4
.-1....3...-4...-2...-1...-3...-1...-3....2...-1...-1...-3....4....1....4...-1
..2...-2....4...-1...-4....2....3....4....3....4...-4...-2...-3....4...-2...-3
.-2...-4...-4....3...-3....3....2...-3...-3....2...-1....3...-2....1...-3....2
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