214. Shortest Palindrome || Leetcode 214 || Efficient Solution Using KMP Algorithm || Explained

In this video, we dive deep into solving the Shortest Palindrome problem using the KMP (Knuth-Morris-Pratt) algorithm. We'll walk through how to efficiently transform a given string into the shortest palindrome by adding characters in front of it. The problem is explained step by step in a simple and easy-to-understand manner, along with detailed Java code implementation.

Topics Covered:
Understanding the Shortest Palindrome Problem
Explanation of the KMP Algorithm
Building the Longest Prefix Suffix (LPS) Array
Complete Java Code Walkthrough
Time and Space Complexity Analysis
Example Inputs:

Input: "aacecaaa" - Output: "aaacecaaa"
Input: "abcd" - Output: "dcbabcd"
Code and Explanation:
The KMP algorithm helps us in finding the longest palindromic prefix efficiently, allowing us to construct the shortest palindrome by adding the minimum number of characters.

Time Complexity: O(n)
Space Complexity: O(n)

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[santhoshdasari]

By using KMP which is optimal for this problem because it efficiently identifies the longest palindromic prefix by leveraging its prefix-suffix matching mechanism. This avoids unnecessary recomparisons, ensuring a linear time complexity of O(n). Thus, it quickly finds the shortest palindrome by minimizing additional characters. So its a perfect algorithm to use for the problem. Thanks for the wonderful video