Longest Palindromic Substring

Palindromes have an undeniable allure that transcends language and time. Whether it’s a word, a phrase, or an entire sentence, palindromes possess a captivating symmetry that fascinates linguists, mathematicians, and even programmers. In this article, we will dive into the realm of palindromes and explore an optimized Java solution for finding the Longest Palindromic Substring. Brace yourself for an exciting journey that combines algorithmic prowess and creative problem-solving!

Source: Leetcode

The Quest for the Longest Palindromic Substring:
Imagine a scenario where you are given a string, and your mission is to find the longest palindromic substring within it. A palindromic substring reads the same forwards and backwards, like “level” or “madam.” As we embark on this quest, we need to develop an efficient Java algorithm that delivers results swiftly while optimizing time and space complexity.

Java-Optimized Code: The Algorithmic Magic:
To accomplish our mission, we will employ a dynamic programming approach, leveraging Java’s powerful capabilities. Here’s the optimized code that will unlock the secrets of the Longest Palindromic Substring:

public String longestPalindromicSubstring(String s) {
 int n = s.length();
 boolean[][] dp = new boolean[n][n];
 int maxLength = 1;
 int start = 0;
// Initialize single…