Tutorial Series: Algorithm

An algorithm is a set of instructions or a step-by-step procedure for solving a problem or accomplishing a specific task. It is a well-defined computational procedure that takes some input, performs a series of operations, and produces an output.

Algorithms are used in a wide range of fields, including computer science, mathematics, engineering, and more. They are often used to solve complex problems that require a systematic approach and can be used to perform tasks such as sorting, searching, and data analysis.

A good algorithm is efficient, accurate, and easy to understand. It should be designed to produce the correct output for any valid input and should be able to handle errors or unexpected situations gracefully. Algorithmic efficiency is also an important consideration, as it can have a significant impact on the performance of a system or application.

Some common examples of algorithms include:

Sorting algorithms, such as bubble sort, merge sort, and quicksort, arrange a collection of data in a particular order
Search algorithms, such as linear search and binary search, find specific data within a collection
Encryption algorithms, such as AES and RSA, encode data to keep it secure
Optimization algorithms, such as gradient descent, find the best solution to a problem within a set of constraints
Algorithms are a fundamental concept in computer science and are used extensively in programming and software development.

A Brief Introduction to Algorithm

What is an Algorithm?An algorithm is a set of instructions that a computer program or a human follows to solve a particular problem. Algorithms can be thought...

Bubble Sort Algorithm

Bubble sort is one of the simplest sorting algorithms. To sort an array using bubble sort,  we will compare every two elements of the array, If these two are...

Selection Sort Algorithm

Selection sort is a simple sorting algorithm that works by repeatedly finding the minimum element from the unsorted part of an array and placing it at the beginning...

Counting Sort Algorithm

Counting sort is a sorting algorithm that operates by counting the number of occurrences of each value in an input array. It requires that each element in the input...

Merge Sort Algorithm

Merge sort is one of the popular sorting algorithms. The time complexity of this algorithm is O(nlogn). This algorithm is based on divide and conquer. Divide...

Binary Search Algorithm

Suppose we are given a sorted array (0-based indexing) a = {10, 32, 34, 40, 50, 100, 101, 102, 104}, and a number k=40. We have to find out the position of this...

Ternary Search Algorithm

Let us have a function y=f(x)=3+x-x*x. We want to find x for which y is maximumGraph of y=3+x-x*xIn this graph, we can see if you increase x first y is increasing...

Breadth First Search Algorithm (BFS)

Breadth-first search (BFS) is an algorithm for traversing or searching a graph or tree data structure. It starts at a chosen vertex (or node) of a graph and explores...

Depth First Search Algorithm (DFS)

Depth first search in short form DFS is a graph traversal algorithm. The time complexity of DFS is O(V+E) where V is the number of vertex and E is the number of...

Single Source Shortest Path in an Unweighted Graph

In this tutorial, we will discuss how to find the shortest path in an unweighted graph. In an unweighted graph, no edges have weight or all edges have the same weight....

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