Question: Hash tables and optimal binary search trees 3. Let Ple) be the probability of an event e, and let n be an integer. The probabilities

Hash tables and optimal binary search trees

Hash tables and optimal binary search trees 3. Let Ple) be the

3. Let Ple) be the probability of an event e, and let n be an integer. The probabilities of n having certain values are shown below. Pn 6) = 0.0125 3a. (10 points.) Suppose we want to search an OBST to see if it has a key n. Using these probabilities, construct an OBST in which search succeeds when ne {1, 3, 5 }, but fails otherwise. 3b. (10 points.) Prove that the OBST you constructed in 3a is optimal. (These two questions are related: answering one may answer the other too.)

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