Determine this!

Algebra Level 5

Let \(A=(a_{ij})\) be the \(2016\times 2016\) matrix with \(a_{i,i}=0\) and \(a_{i,j}=1\) when \(i\neq j\), meaning that the diagonal entries are all 0 and the off-diagonal entries are all 1. Find \(\det(A)\).

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