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Introduction to Longest Common Substring

Explore the Longest Common Substring pattern to identify the longest consecutive matching substring between two strings using dynamic programming. Understand problem characteristics, applications like plagiarism detection and bioinformatics, and learn how to apply this pattern effectively in coding interviews.

Overview

In this pattern, we will be discussing 12 problems related to this pattern. The following diagram shows an overview of this pattern.

Problems explored in Longest Common Substring pattern

The Longest Common Substring (LCS) is defined as the longest substring that is common in the given two strings. In the longest common substring problems, the elements of a substring must be consecutive as in the original strings. A slight variation of LCS is the Longest Common Subsequence, in which the elements of the substrings are not necessarily required to occupy consecutive positions within the original strings. In either case, the indices of the common ...

Mathematically, it can be written as:

Given two strings XX and ...