(b) Consider the two sorting algorithms below, which each take as input array A] indexed from s tof.SwapSort2(A, s, f)SwapSort1(A, s, f)swapped = truewhile (swapped)swapped = falsefor i = s to f-2swapped = truewhile (swapped)swapped = falsefor i = s to f-2if A[i] > A[i+2]Swap A[i] and A[i+2]swapped = trueif A[i] > Ali+2]Swap A[i] and A[i+2]swapped = trueswapped = truewhile (swapped)swapped = falsefor i = s to f-1if A[i] > A[i+1]Swap A[i] and A[i+1]swapped = true• Execute SwapSort1 on array A = [7,6, 5, 4, 3, 2, 1] indexed from s = 1 to f = 7.• Which of the above two algorithms is correct?. Justify your answer.• What is the worst-case number of comparisons are made by SwapSort2 when the input array A haslength n and is sorted in reverse order?• Does your result from above represent the worst-case number of comparisons made by SwapSort2?Justify your answer.• Justify that the worst-case runtime of SwapSort2 is of the form T(n)a, b, c.= an? + bn +c for constants

Answered: Image /qna-images/answer/ea189dc9-c3c7-448c-ae7c-9ab551276e3f.jpg

Answered: SwapSort1 on array A = [7,6, 5, 4, 3 f…

SwapSort1 on array A = [7,6, 5, 4, 3 f the above two algorithms is correc the worst-case number of comparis and is sorted in reverse order?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

(b) Consider the two sorting algorithms below, which each take as input array A] indexed from s to
f.
SwapSort2(A, s, f)
SwapSort1(A, s, f)
swapped = true
while (swapped)
swapped = false
for i = s to f-2
swapped = true
while (swapped)
swapped = false
for i = s to f-2
if A[i] > A[i+2]
Swap A[i] and A[i+2]
swapped = true
if A[i] > Ali+2]
Swap A[i] and A[i+2]
swapped = true
swapped = true
while (swapped)
swapped = false
for i = s to f-1
if A[i] > A[i+1]
Swap A[i] and A[i+1]
swapped = true
• Execute SwapSort1 on array A = [7,6, 5, 4, 3, 2, 1] indexed from s = 1 to f = 7.
• Which of the above two algorithms is correct?. Justify your answer.
• What is the worst-case number of comparisons are made by SwapSort2 when the input array A has
length n and is sorted in reverse order?
• Does your result from above represent the worst-case number of comparisons made by SwapSort2?
Justify your answer.
• Justify that the worst-case runtime of SwapSort2 is of the form T(n)
a, b, c.
= an? + bn +c for constants

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