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Hashing is the transformation of a string of characters into a generally shorter fixed-length key or a value that presents the original string. Hashing is used to index and retrieve values in a database because it is faster to search the item using the shorter hashed value than to search it using the original value. It is also used in many encryption operations.
(a) Using the extended Euclidean algorithm, find the multiplicative inverse of 504 mod 67. (b) Decrypt the following ciphertext, which has been encrypted using Caesar cipher:
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