2015 LOL

Algebra Level 4

\[\left\{\begin{matrix} x^2+y^2=1 & & \\ \sqrt[2013]{x}-\sqrt[2013]{y}=(\sqrt[2014]{y}-\sqrt[2014]{x})(x+y+xy+2015) & & \end{matrix}\right.\] Find \[A=[(x+y)^2-1]^{2015}+1999\]

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