$\left\{\begin{matrix} \sqrt{1+x_{1}}+\sqrt{1+x_{2}} + ... + \sqrt{1+x_{2013}} = \sqrt{2013.2014} & & \\ \sqrt{1-x_{1}}+\sqrt{1-x_{2}} + ... + \sqrt{1-x_{2013}}= \sqrt{2012.2013} & & \end{matrix}\right.$
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