An algebra problem by Paola Ramírez

Algebra Level 4

\[A=1+0+0+4+0+6+7+0+9+0+11+\cdots+2014+2015+2016\]

The sum above \(A\) gets numbers from 1 to 2016. The numbers alongside one square number have been replaced by a 0. Find the value of \(A\).

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