IMO Shortlist 2014 problem N2

Determine all pairs $(x, y)$ of positive integers such that $\sqrt[3]{ 7x^2 - 13xy + 7y^2 } = |x - y| + 1 \text{.}$

(U.S.A.)

Izvor: https://www.imo-official.org/problems/IMO2014SL.pdf

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