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An open hash table with B buckets and containing N elements is given. We call MEMBER operation with an argument being an element occurring inside

An open hash table with B buckets and containing N elements is given. We call MEMBER operation with an argument being an element occurring inside the hash table. Answer the following questions with justifications.

(a) Find a formula expressing the average number of visited cells in terms of list lengths l₁, l₂, l_B.

(b) What is the average number of visited cells if we assume that all lists have equal length?

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