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?

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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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