Last updated on July 18th, 2024 at 10:43 pm

Here, We see Longest Palindromic Subsequence LeetCode Solution. This Leetcode problem is done in many programming languages like C++, Java, JavaScript, Python, etc. with different approaches.

List of all LeetCode Solution

Topics

Dynamic Programming

Companies

Amazon, Uber

Level of Question

Medium

Longest Palindromic Subsequence LeetCode Solution

Problem Statement

Given a string s, find the longest palindromic subsequence‘s length in s.

A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

Example 1:
Input: s = “bbbab”
Output: 4
Explanation: One possible longest palindromic subsequence is “bbbb”.

Example 2:
Input: s = “cbbd”
Output: 2
Explanation: One possible longest palindromic subsequence is “bb”.

1. Longest Palindromic Subsequence LeetCode Solution C++

class Solution {
public:
    int longestPalindromeSubseqTabular(string& s) {
        if(s.empty())
            return 0;
        const int N = s.size();
        vector<vector<int> > dp(N, vector<int>(N, 0));
        for(int i = 0; i < N; i++)
            dp[i][i] = 1;
        for(int l = 1; l < N; l++) {
            for(int i = 0; i < N - l; i++) {
                int j = i + l;
                if((j - i + 1) == 2) {
                    dp[i][j] = 1 + (s[i] == s[j]);
                }
                else {
                    if(s[i] == s[j])
                        dp[i][j] = dp[i+1][j-1] + 2;
                    else
                        dp[i][j] = max(dp[i+1][j], dp[i][j-1]);
                }
            }
        }
        return dp[0][N-1];
    }

    int longestPalindSubseqRec(vector<vector<int> >& dp, string& s, int i, int j) {
        if(i > j)
            return 0;
        if(i == j)
            return dp[i][j] = 1;
        if(dp[i][j] == -1) {
            if(s[i] == s[j])
                dp[i][j] = 2 + longestPalindSubseqRec(dp, s, i+1, j-1);
            else
                dp[i][j] = max(longestPalindSubseqRec(dp, s, i+1, j),
                               longestPalindSubseqRec(dp, s, i, j-1));
        }
        return dp[i][j];
    }
    
    int longestPalindSubseqRecDriver(string& s) {
        if(s.empty())
                return 0;
        const int N = s.size();
        vector<vector<int> > dp(N, vector<int>(N, -1)); 
        return longestPalindSubseqRec(dp, s, 0, N-1);
    }
    
    int longestPalindromeSubseq(string s) {
        return longestPalindSubseqRecDriver(s);
    }
};

2. Longest Palindromic Subsequence LeetCode Solution Java

class Solution {
    public int longestPalindromeSubseq(String s) {
        int n = s.length();
        int[][] dp = new int[n][n];
        for (int i = n-1; i >= 0; i--) {
            dp[i][i] = 1;
            for (int j = i+1; j < n; j++) {
                if (s.charAt(i) == s.charAt(j)) {
                    dp[i][j] = 2 + dp[i+1][j-1];
                } else {
                    dp[i][j] = Math.max(dp[i+1][j], dp[i][j-1]);
                }
            }
        }
        return dp[0][n-1];
    }
}

3. Longest Palindromic Subsequence Solution JavaScript

var longestPalindromeSubseq = function(s) {
    const n = s.length;
    const dp = Array(n).fill().map(() => Array(n).fill(0));
    for (let i = n-1; i >= 0; i--) {
        dp[i][i] = 1;
        for (let j = i+1; j < n; j++) {
            if (s[i] === s[j]) {
                dp[i][j] = 2 + dp[i+1][j-1];
            } else {
                dp[i][j] = Math.max(dp[i+1][j], dp[i][j-1]);
            }
        }
    }
    return dp[0][n-1];
};

4. Longest Palindromic Subsequence Solution Python

class Solution(object):
    def longestPalindromeSubseq(self, s):
        n = len(s)
        dp = [[0]*n for _ in range(n)]
        for i in range(n-1, -1, -1):
            dp[i][i] = 1
            for j in range(i+1, n):
                if s[i] == s[j]:
                    dp[i][j] = 2 + dp[i+1][j-1]
                else:
                    dp[i][j] = max(dp[i+1][j], dp[i][j-1])     
        return dp[0][n-1]