# Inspired by Lakshya Sinha

Algebra Level 4

$\large a^2 +b^2+c^2+d^2$

If $$a,b,c$$ and $$d$$ are positive reals satisfying $$a^{2016}+b^{2016}+c^{2016}+d^{2016}=4032$$, maximize the expression above to 3 decimal places

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