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(a) Considering cryptographic hash functions, prove that (strong) collision resistant (statement A) implies second pre-image resistant (statement B). Hint: The original result to be proved

(a) Considering cryptographic hash functions, prove that (strong) collision resistant (statement A) implies second pre-image resistant (statement B). Hint: The original result to be proved is A => B. It is equivalent (and easier) to prove that B => A. (b) Suppose a 64-bit hash was collision resistant. Would it be possible to find a second pre-image? Explain

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