# 2016's maximum

Algebra Level 3

$\large \left( \sum_{\text{cyc}} \dfrac{x^{2016}}{y^{2016} + z^{2016} + 3} \right) + (1-x)(1-y)(1-z)$

If $$0\leq x,y,z \leq 1$$, find the maximum value of the expression above.

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