Write an efficient algorithm (to the best of your knowledge) for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a backtracking algorithm.Problem: Repeated NumberInput: An array A[1...3n] of positive integers.Output: If any number in the array appears at least n times, then print such a number. Otherwise, print 'none'.Example: Input: A = [1,3,3,3,1,1]. Here 3n = 6 and n =2. Output: 3. Note that here 1 would also be a valid output. You just need to print one if there are many options.Example: Input: A = [4,3,5,7,9,1]. Here 3n = 6 and n =2. Output: 'none'

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Answered: Write an efficient algorithm (to the…

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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Write an efficient algorithm (to the best of your knowledge) for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a backtracking algorithm.

Problem: Repeated Number
Input: An array A[1...3n] of positive integers.
Output: If any number in the array appears at least n times, then print such a number. Otherwise, print 'none'.
Example: Input: A = [1,3,3,3,1,1]. Here 3n = 6 and n =2. Output: 3. Note that here 1 would also be a valid output. You just need to print one if there are many options.
Example: Input: A = [4,3,5,7,9,1]. Here 3n = 6 and n =2. Output: 'none'

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