Some solutions for n=5
...0...............0...............0...............0...............0
..-3.-1............3..0...........-1.-1............0..3............2..1
..-1.-2.-2.........2..1..3.........2.-1.-4.........1..2..4.........3..3..4
...1..0..0.-3.....-1..2..3..2.....-1.-1.-2.-5......3..3..1..1......3..1..3..5
...3..0.-2.-1..0...1..0..2..1..0...0.-2.-2.-2.-3...2..0..1..2.-1...2..0..3..5..7
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