Maximum with a catch

A function is given by \(f(x)=x^{3}+3\)

\(N\) line separated lists are given in the text file, and let \(S=(f(x_{1})+f(x_{2})+\ldots +f(x_{n})) \bmod {123}\) where \(x_{i}\) is an element picked from the \(i\)th's list. What is the maximum possible value of \(S\)?

Contest problem.
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