2016 is coming!

Algebra Level 4

x12016+x22016++x20162016x_{1}^{2016} + x_{2} ^{2016} +\cdots+ x_{2016}^{2016}

If x1,x2,,x2016x_{1}, x_{2},\ldots, x_{2016} are the roots of the equation x20162016x2=0,x^{2016} - 2016x - 2 = 0, then find the value of the expression above.

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