An algebra problem by Wildan Bagus Wicaksono

Algebra Level pending

∑ k = 1 m ( − 1 ) k k + ∑ k = 1 n ( − 1 ) k k + ∑ k = 1 m + n ( − 1 ) k k = 2017 \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 ) (m,n) satisfy the equation above?

2017 0 1008 2016 520

Wildan Bagus Wicaksono by Wildan Bagus Wicaksono , 18, Indonesia

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