Improve the hash table implementation of Program 5.2: a. Double the size of the array when the average bucket length grows larger than 2 (so table is now ref(array)). To double an array, allocate a bigger one and rehash the contents of the old array; then discard the old array. b. Allow for more than one table to be in use by making the table a parameter to insert and lookup. c. Hide the representation of the table type inside an abstraction module, so that clients are not tempted to manipulate

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Problem 1 (5 Points): One of the earlier applications of cryptographic hash functions was the storage ofpasswords for user authentication in computer systems. With this method, a password is hashed after itsinput and is compared to the stored (hashed) reference password. People realized early that it is sufficientto only store the hashed versions of the passwords.a) Assume you are a hacker and you got access to the hashed password list. Of course, you would like torecover the passwords from the