8/3 women day=83 followers-problem 34.

Algebra Level 5

\[x_{1}^{3}+x_{2}^{3}+\cdots+x_{83}^{3}\]

Given that \(x_{1};x_{2};\ldots ;x_{83}\) are positive real integers and their product is \(83\).Find the maximum value of the expression above.


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