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Let $\forall n \in \mathbb{N}$, $z_{n+1}=4z_n(1-z_n)$ where $z_1=\frac{3-\sqrt{5}}{8}$.

Find $z_5 \times z_{10}$.

If answer can be expressed in form $a/b$, where $a$ and $b$ are coprime positive integers, find $a+b$.

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