Shortest Palindrome | Multiple Ways | KMP Zindabaad | Leetcode 214 | codestorywithMIK
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This is the 43rd Video of our Playlist "Strings : Popular Interview Problems" by codestorywithMIK
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In this video we will try to solve a standard Recursion problem : Shortest Palindrome | Multiple Ways | KMP Zindabaad | Leetcode 214 | codestorywithMIK
Detailed and full dry run.
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Shortest Palindrome | Multiple Ways | KMP Zindabaad | Leetcode 214 | codestorywithMIK
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My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Intervie...
Leetcode Link : https://leetcode.com/problems/shortes...
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Summary :
1. Approach: Using Simple Substring Check for Prefix and Suffix
Time Complexity: O(n2)
Space Complexity: O(n)
Description: This approach checks if a prefix of the input string s matches a suffix of the reversed string rev. It iterates through the string s and, for each position i, it compares the substring of s from the beginning with the substring of rev from index i onwards. This comparison checks whether the prefix of s matches the suffix of rev, which would indicate the point at which the palindrome begins. The string is made a palindrome by adding the unmatched portion from the reversed string to the beginning of s.
Advantages: The logic is straightforward and intuitive.
Drawbacks: Since substring comparison takes O(n) time and this is done in a loop O(n) times, the total time complexity is O(n2), making it inefficient for longer strings.
2. Approach: Using LPS (Longest Prefix Suffix) from KMP Algorithm
Time Complexity: O(n)
Space Complexity: O(n)
Description: This approach uses the LPS array, a concept from the KMP (Knuth-Morris-Pratt) string matching algorithm, to efficiently compute the shortest palindrome. The core idea is to concatenate the string s, a separator (-), and the reversed string rev. The LPS array is built for this concatenated string, which helps in identifying the longest prefix of s that is also a suffix. The unmatched part of the reversed string is then added to the beginning of s to make it a palindrome.
Advantages: This approach is optimal with a linear time complexity of O(n), significantly faster than the previous approach.
Drawbacks: Slightly more complex due to the LPS computation, but still relatively efficient in both time and space.
✨ Timelines✨
00:00 - Introduction
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