Introduction

Welcome to the Introduction of the Longest Common Subsequence problem!

In this lesson, we will dive into the Longest Common Subsequence problem, its significance, and applications. The Longest Common Subsequence problem is a classic problem in computer science and has various real-world applications.

The Longest Common Subsequence (LCS) problem involves finding the longest subsequence that is common to two given strings. A subsequence is a sequence that can be derived from another sequence by deleting some or no elements, without changing the order of the remaining elements. Unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences.

Why is the Longest Common Subsequence problem important? It serves as a foundation for various other problems in computer science, such as DNA sequence comparison, plagiarism detection, file diffing, and many more.

By understanding and mastering the Longest Common Subsequence problem, you'll be equipped with a powerful algorithmic technique called dynamic programming, which can be applied to solve a wide range of problems efficiently.

So let's get started and explore the world of Longest Common Subsequence!