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( Bitcoin mining ) Josh is mining bitcoins where the process uses a 2 5 6 - bit secure hash algorithm ( SHA - 2

(Bitcoin mining) Josh is mining bitcoins where the process uses a 256-bit secure hash algorithm (SHA-256). That is, the hashing operation maps a digital input file of any size to a fixed 256-bit hash value that is used as a fingerprint for that file. Show that the value of n for which the probability of at least 2 different files being hashed to the same value exceeds 0.5 is n 1.4N, where N =2 to the power of 256

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