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array A of distinct integers, inc and f, and an integer k. The al the index of the integer k in th

array A of distinct integers, inc and f, and an integer k. The al the index of the integer k in th

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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The recursive algorithm below takes as input an array A of distinct integers, indexed between s and f, and an integer k. The algorithm returns the index of the integer k in the array A, or -1 if the integer k is not contained within A. Complete the missing portion of the algorithm in such a way that you make three recursive calls to subarrays of approximately one third the size of A. • Write and justify a recurrence for the runtime T(n) of the above algorithm. • Use the recursion tree to show that the algorithm runs in time O(n).
Transcribed Image Text:The recursive algorithm below takes as input an array A of distinct integers, indexed between s and f, and an integer k. The algorithm returns the index of the integer k in the array A, or -1 if the integer k is not contained within A. Complete the missing portion of the algorithm in such a way that you make three recursive calls to subarrays of approximately one third the size of A. • Write and justify a recurrence for the runtime T(n) of the above algorithm. • Use the recursion tree to show that the algorithm runs in time O(n).
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