In the following Quick Sort algorithm, the last element in the array is selected as Pivot. We are going to select the Median of the data in the array as Pivot. Make the appropriate changes in the following algorithms. Indicate which line (line number) in each algorithm is to be modified and what are the changes. In the original algorithm, the complexity of Quick Sort is "n Log (n)". What would be the complexity with Median as Pivot? Why? PARTITION(A, p,r)x = A[r]2 i = p– 13 for j1-= p to r – 1if A[j] < xi = i +1exchange A[i] with A[j]-46.7 exchange A[i + 1] with A[r]8 return i +1QUICKSORT(A, p, r)1 if p

1)PARTITION(A[], p, r) x = A[r] i = p // place for swapping for j := p to r – 1 do…

Answered: In the following Quick Sort algorithm,…

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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In the following Quick Sort algorithm, the last element in the array is selected as Pivot. We are going to select the Median of the data in the array as Pivot.

Make the appropriate changes in the following algorithms. Indicate which line (line number) in each algorithm is to be modified and what are the changes.
In the original algorithm, the complexity of Quick Sort is "n Log (n)". What would be the complexity with Median as Pivot? Why?

PARTITION(A, p,r)
x = A[r]
2 i = p– 1
3 for j
1
-
= p to r – 1
if A[j] < x
i = i +1
exchange A[i] with A[j]
-
4
6.
7 exchange A[i + 1] with A[r]
8 return i +1
QUICKSORT(A, p, r)
1 if p <r
q = PARTITION(A, p, r)
QUICKSORT(A, p,q – 1)
QUICKSORT(A, q + 1, r)
234

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