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2016n+20162+20162+…+20162⏟p times=201632016^n+\underbrace{2016^2+2016^2+\ldots+2016^2}_{p \text{ times}}=2016^32016n+p times20162+20162+…+20162=20163
where ppp and nnn are both positive integers.
What is the value of nnn?
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