If above function is a pseudorandom generator then is the same $G$ a one way function. I tried to prove this but failed a lot of time. Would be helpful if someone could provide some insight on this.


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Prove by contradiction. Assume that it is not a one-way function and that it can be inverted with non-negligible probability. Use this to construct a distinguisher that can distinguish truly random from $G(s)$ with non-negligible advantage. I leave the rest to you...


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