Determine all integers for which there exist points in the plane, no three collinear, and real numbers such that for , the area of is .
%V0
Determine all integers $n > 3$ for which there exist $n$ points $A_{1},\cdots ,A_{n}$ in the plane, no three collinear, and real numbers $r_{1},\cdots ,r_{n}$ such that for $1\leq i < j < k\leq n$, the area of $\triangle A_{i}A_{j}A_{k}$ is $r_{i} + r_{j} + r_{k}$.
Izvor: Međunarodna matematička olimpijada, shortlist 1995
Školjka 
for which there exist 
points 
in the plane, no three collinear, and real numbers 
such that for 
, the area of 
is 
.