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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