# A little tricky part 1

Algebra Level 5

$0\leq x\leq2;0\leq y\leq\frac{1}{2}$ $L=(2x-x^2)(y-2y^2)$

Find the sum of the maximum value of $$L$$ and the value of $$x$$ and $$y$$ when the equality holds. Given the conditions above.

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