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A hash table is a very important data structure in computer science. It is used for fast information retrieval. It stores data as a pair,

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A hash table is a very important data structure in computer science. It is used for fast information retrieval. It stores data as a pair, where the value is indexed by the key. Note that keys must ne unique. Consider the example of storing persons name using the social security number (ssn) as the key. For each ssnx, a hash function h is used, where h(x) is the location to store the name of x. Once we have created a table, to look up the name for ssn x, we can recomputes h(x) and then look up what is stored in that location. In Python, dictionaries are based on hash tables. Typically, the hash function h is deterministic; we do not want to get different results every time we compute h(x). But h is often chosen to be pseudo-random. For this problem, we will assume that h is truly random. Suppose there are k people, with each person's name stored in a random location (independently), represented by an integer between 1 and n,k<.>

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