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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