Longest Palindromic Subsequence

The longest palindrome subsequence problem (LPS) is the problem to find longest subsequences of a string that is also a palindrome. Unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. We will see two solutions one which is a naive solution and the other is a dynamic programming approach where we will reduce the time complexity from O(2^N) to O(N^2).

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