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Given an input parameter n, Alice has an unsorted array A of nyn items, and she needs to perform O(log n) search operations on A. She has two algorithms in mind to achieve this: • Algorithm 1: Sort A using MERGE SORT and then perform all of O(log n) search operations using binary search. • Algorithm 2: Perform all of O(log n) search operations directly on A using linear search. Present the running times of each of the two algorithms separately, and select the algorithm you would suggest to Alice by determining which one is asymptotically faster.

Given an input parameter n, Alice has an unsorted array A of nyn items, and she needs to perform O(log n) search operations on A. She has two algorithms in mind to achieve this: • Algorithm 1: Sort A using MERGE SORT and then perform all of O(log n) search operations using binary search. • Algorithm 2: Perform all of O(log n) search operations directly on A using linear search. Present the running times of each of the two algorithms separately, and select the algorithm you would suggest to Alice by determining which one is asymptotically faster.

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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Given an input parameter n, Alice has an unsorted array A of nyn items, and she needs to perform O(log n) search operations on A. She has two algorithms in mind to achieve this: • Algorithm 1: Sort A using MERGE SORT and then perform all of O(log n) search operations using binary search. • Algorithm 2: Perform all of O(log n) search operations directly on A using linear search. Present the running times of each of the two algorithms separately, and select the algorithm you would suggest to Alice by determining which one is asymptotically faster.
Transcribed Image Text:Given an input parameter n, Alice has an unsorted array A of nyn items, and she needs to perform O(log n) search operations on A. She has two algorithms in mind to achieve this: • Algorithm 1: Sort A using MERGE SORT and then perform all of O(log n) search operations using binary search. • Algorithm 2: Perform all of O(log n) search operations directly on A using linear search. Present the running times of each of the two algorithms separately, and select the algorithm you would suggest to Alice by determining which one is asymptotically faster.
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