Let, \(S=\{-50,-49,-48,\dots,0,1,2,\dots,49,50\}\)

\(A\) is a set of products of any three elements of \(S\). That mean \(A=\{x,y,z \in S : x\times y\times z\}\).

Find \(\sum\limits_{i\in A} i\)

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