An algebra problem by Wildan Bagus W. Hafidz

Algebra Level 3

A function \(f\) is defined on the original number satisfying \(f (1)\) \(= 2017\) and\( f (1) + f (2) + f (3) + ... + f(n) = n ^ 2f (n) \)with \(n > 1\). Determine the result of \(2018 \cdot f(2017)\).

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