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Let's say that the first bit of $s$ $s_0=1$ (the argument will be exactly the same for any bit, just for convenience). You can split the space of inputs $x \in \{0,1\}^n$ in two halves: one half where $x_0 = 0$ and the other half where $x_0 = 1$. For each bitstring $x$ from the first half you'll have a bitstring $\tilde{x}$ from the second half which will ...

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