Question: Algorithm CS Problem 4 In class we studied an algorithm which, given the probabilities of query for the nodes and gaps in a binary search


Algorithm CS
Problem 4 In class we studied an algorithm which, given the probabilities of query for the nodes and gaps in a binary search tree, determined the optimal (i.e., least-average-search-cost) structure for the tree. Determine an optimal binary search tree (alphabetically ordered in ascending order containing precisely the following keys, with the indicated corresponding query probabilities: ALPHA BAKER CHARLIE DELTA ECHO FOXTROT GOLF HOTEL 0.12 0.12 0.12 0.13 0.13 0.13 0.12 0.13 and assuming that all queries are for keys that are present in the tree (i.e., all gap probabilities are zero). (a) Give the ROOT table for the optimal binary search tree
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