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Algorithm 1: Sort a list in descending order Input: Unsorted list A = [a₁,..., an] of n items Output: Sorted list A' = [a₁,..., ah] of n items in descending order for i= 0, i < n − 1, i++ do // Find the maximum element max_index = i for j=i+1, j A[min_index] then max_index = j // Swap the maximum element with the first element swap(A, i, max_index) return A

Algorithm 1: Sort a list in descending order Input: Unsorted list A = [a₁,..., an] of n items Output: Sorted list A' = [a₁,..., ah] of n items in descending order for i= 0, i < n − 1, i++ do // Find the maximum element max_index = i for j=i+1, j A[min_index] then max_index = j // Swap the maximum element with the first element swap(A, i, max_index) return A

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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We have the following algorithm that sorts a list of integers to descending order. Prove that this algorithm is correct by mathematical induction to provide a rigorous proof.

Algorithm 1: Sort a list in descending order Input: Unsorted list A = [a₁,..., an] of n items Output: Sorted list A' = [a₁,..., an] of n items in descending order for i = 0, i < n − 1, i++ do // Find the maximum element max_index = i for j=i+1, j<n, j++ do if A[j] > A[min_index] then max_index = j // Swap the maximum element with the first element swap(A, i, max_index) return A
Transcribed Image Text:Algorithm 1: Sort a list in descending order Input: Unsorted list A = [a₁,..., an] of n items Output: Sorted list A' = [a₁,..., an] of n items in descending order for i = 0, i < n − 1, i++ do // Find the maximum element max_index = i for j=i+1, j<n, j++ do if A[j] > A[min_index] then max_index = j // Swap the maximum element with the first element swap(A, i, max_index) return A
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