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Acryptographic hash takes a message as input and produces a fixed-length string as output, called the digital fingerprint. a brute force attack involves computing the hash for a largenumber of messages until a pair of distinct messages with the same hash is found. find thenumber of attempts required so that the probability of obtaining a match is ½. how manyattempts are required to find a matching pair if the digital fingerprint is 64 bits long? 128 bitslong?

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