<h1 id="heading-1-data-structure-vs-algorithm">1. Data Structure v/s Algorithm</h1>
<div class="hn-table">
<table>
<thead>
<tr>
<td><strong>Aspect</strong></td><td><strong>Data Structure</strong></td><td><strong>Algorithm</strong></td></tr>
</thead>
<tbody>
<tr>
<td>Definition</td><td>A way of organizing and storing data efficiently.</td><td>A step-by-step procedure or set of instructions.</td></tr>
<tr>
<td>Purpose</td><td>Provides a means to manage and manipulate data.</td><td>Defines how data is processed to solve a problem.</td></tr>
<tr>
<td>Example</td><td>Arrays, linked lists, stacks, queues, trees, etc.</td><td>Searching algorithms, sorting algorithms, etc.</td></tr>
<tr>
<td>Operations</td><td>Insertion, deletion, searching, traversal, etc.</td><td>Searching, sorting, traversing, modifying, etc.</td></tr>
<tr>
<td>Efficiency</td><td>Efficiency depends on the chosen data structure.</td><td>Efficiency depends on the chosen algorithm.</td></tr>
<tr>
<td>Relationship</td><td>Algorithms operate on data structures.</td><td>Algorithms manipulate data within data structures.</td></tr>
<tr>
<td>Importance</td><td>Provides efficient storage and retrieval of data.</td><td>Determines the efficiency and performance of a program.</td></tr>
<tr>
<td>Usage</td><td>Used in designing and implementing software systems.</td><td>Used in problem-solving and optimization tasks.</td></tr>
</tbody>
</table>
</div><h2 id="heading-aworst-case-time-complexities-for-popular-data-structures"><strong>a.Worst case Time Complexities for popular data structures:</strong></h2>
<p><img src="https://cdn.hashnode.com/res/hashnode/image/upload/v1707311148209/84ee7517-e0fd-49a1-8ec4-4a2dd8bb49c5.png" alt class="image--center mx-auto" /></p>
<h2 id="heading-b-time-complexities-for-popular-sorting-algorithms">b. <strong>Time Complexities for popular sorting algorithms:</strong></h2>
<p><img src="https://cdn.hashnode.com/res/hashnode/image/upload/v1707311209894/6affee5b-6579-4cd6-91d8-ce63e03285a4.png" alt class="image--center mx-auto" /></p>


# 1\. Data Structure v/s Algorithm

| **Aspect** | **Data Structure** | **Algorithm** |
| --- | --- | --- |
| Definition | A way of organizing and storing data efficiently. | A step-by-step procedure or set of instructions. |
| Purpose | Provides a means to manage and manipulate data. | Defines how data is processed to solve a problem. |
| Example | Arrays, linked lists, stacks, queues, trees, etc. | Searching algorithms, sorting algorithms, etc. |
| Operations | Insertion, deletion, searching, traversal, etc. | Searching, sorting, traversing, modifying, etc. |
| Efficiency | Efficiency depends on the chosen data structure. | Efficiency depends on the chosen algorithm. |
| Relationship | Algorithms operate on data structures. | Algorithms manipulate data within data structures. |
| Importance | Provides efficient storage and retrieval of data. | Determines the efficiency and performance of a program. |
| Usage | Used in designing and implementing software systems. | Used in problem-solving and optimization tasks. |

## **a.Worst case Time Complexities for popular data structures:**

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1707311148209/84ee7517-e0fd-49a1-8ec4-4a2dd8bb49c5.png align="center")

## b. **Time Complexities for popular sorting algorithms:**

![](https://cdn.hashnode.com/res/hashnode/image/upload/v1707311209894/6affee5b-6579-4cd6-91d8-ce63e03285a4.png align="center")

(Theory) Data Structure & Algorithm

Table of contents

1. Data Structure v/s Algorithm

a.Worst case Time Complexities for popular data structures:

b. Time Complexities for popular sorting algorithms:

Aspect	Data Structure	Algorithm
Definition	A way of organizing and storing data efficiently.	A step-by-step procedure or set of instructions.
Purpose	Provides a means to manage and manipulate data.	Defines how data is processed to solve a problem.
Example	Arrays, linked lists, stacks, queues, trees, etc.	Searching algorithms, sorting algorithms, etc.
Operations	Insertion, deletion, searching, traversal, etc.	Searching, sorting, traversing, modifying, etc.
Efficiency	Efficiency depends on the chosen data structure.	Efficiency depends on the chosen algorithm.
Relationship	Algorithms operate on data structures.	Algorithms manipulate data within data structures.
Importance	Provides efficient storage and retrieval of data.	Determines the efficiency and performance of a program.
Usage	Used in designing and implementing software systems.	Used in problem-solving and optimization tasks.