2.3-1Using Figure 2.4 as a model, illustrate the operation of merge sort on the arrayA = (3, 41, 52, 26, 38, 57, 9, 49).5225merge21425merge4427sorted sequence347mergemerge17initial sequence513merge3672 3merge2266merge6

Answered: Using Figure 2.4 as a model, illustrate…

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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2.3-1
Using Figure 2.4 as a model, illustrate the operation of merge sort on the array
A = (3, 41, 52, 26, 38, 57, 9, 49).
5
2
2
5
merge
2
1
4
2
5
merge
4
4
2
7
sorted sequence
3
4
7
merge
merge
1
7
initial sequence
5
1
3
merge
3
6
7
2 3
merge
2
2
6
6
merge
6

Expert Solution

Step 1

Merge sort is a popular sorting algorithm that sorts an array or a list of elements by recursively dividing it into two halves, sorting each half separately, and then merging the sorted halves to produce a fully sorted list. The basic idea of the merge sort is to divide and conquer, meaning that it breaks down a problem into smaller subproblems that are easier to solve.

The merge sort algorithm works as follows:

Divide the unsorted list into n sublists, each containing one element.
Repeatedly merge sublists to produce newly sorted sublists until there is only one sublist remaining. This will be the sorted list.

The merge operation is key to the merge sort algorithm. it involves merging two sorted sublists into a single sorted list. Here are the steps involved in merging two sorted sublists:

Compare the first element of each sublist.
Select the smaller element and append it to the new list.
Move to the next element of the sublist from which the selected element was taken.
Repeat steps 1 to 3 until one sublist is exhausted.
Append the remaining elements of the other sublist to the new list.

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