Question: 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

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. Justify your answers. (i) Find a formula expressing the average number of visited cells in terms of list lengths l,12,..., le. What is the average number of visited cells if we assume that all lists have equal length? What is the average number of visited cells if we assume that all elements are stored inside one list? (ii) (iii) 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. Justify your answers. (i) Find a formula expressing the average number of visited cells in terms of list lengths l,12,..., le. What is the average number of visited cells if we assume that all lists have equal length? What is the average number of visited cells if we assume that all elements are stored inside one list? (ii) (iii)

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