Inspired by Lakshya Sinha

Algebra Level 2

a2+b2+c2+d2a^2 +b^2+c^2+d^2

If a,b,ca,b,c and dd are positive reals satisfying a2016+b2016+c2016+d2016=4032a^{2016}+b^{2016}+c^{2016}+d^{2016}=4032, maximize the expression above to 3 decimal places

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