Let the area of the region $\left\{(x, y): x-2 y+4 \geq 0, x+2 y^2 \geq 0, x+4 y^2 \leq 8, y \geq 0\right\}$ be $\frac{m}{n}$, where $m$ and n are coprime numbers. Then $\mathrm{m}+\mathrm{n}$ is equal to
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