An algebra problem by Wildan Bagus W. Hafidz

Algebra Level pending

\[\large \sum_{k=1}^m (-1)^k k + \sum_{k=1}^n (-1)^k k + \sum_{k=1}^{m+n} (-1)^k k = 2017 \]

How many positive integer pairs \((m,n)\) satisfy the equation above?

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