# Hard SUM

Algebra Level 4

Giving $$x_1,x_2,.........x_{2016}$$ real numbers in the interval $$[-1,1]$$ such that $$x_1^3+x_2^3+.........+x_{2016}^3=0$$.

Which is the greatest value of $$x_1+x_2+.........+x_{2016}$$?

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