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sorting algorithm is used for the “A”collection with n positive round members that are less than “k”. Would you please proof the correction of this algorithm using induction; and then say if it is stable or no and why?

sorting algorithm is used for the “A”collection with n positive round members that are less than “k”. Would you please proof the correction of this algorithm using induction; and then say if it is stable or no and why?

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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This sorting algorithm is used for the “A”collection with n positive round members that are less than “k”. Would you please proof the correction of this algorithm using induction; and then say if it is stable or no and why?

1 Assignment-Sort(A, B, k) for i <- 0 to k 3 do C[i] <- 0 4 for j <- 1 to length[A] 5 do C[A[j]] <- c[A[j]] + 1 6 for i <- 1 to k 7 do C[i] <- [[i] + C[i-1] 8 for j <- 1 1 to length[A] do B[C[A[j]]] <- A[j] 10 do C[A[j]] <- C[A[j]] 2.
Transcribed Image Text:1 Assignment-Sort(A, B, k) for i <- 0 to k 3 do C[i] <- 0 4 for j <- 1 to length[A] 5 do C[A[j]] <- c[A[j]] + 1 6 for i <- 1 to k 7 do C[i] <- [[i] + C[i-1] 8 for j <- 1 1 to length[A] do B[C[A[j]]] <- A[j] 10 do C[A[j]] <- C[A[j]] 2.
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