5. Longest Palindromic Substring - cocoder39/coco39_LC GitHub Wiki

5. Longest Palindromic Substring

O(n ^ 2)

string longestPalindrome(string s) {
        int len = s.length();
        vector<vector<bool>> dp(len, vector<bool>(len));
        
        string res;
        for (int i = 0; i < len; i++) {
            dp[i][i] = true;
            if (res.empty() || res.length() < 1) {
                res = s.substr(i, 1);
            }
            if (i > 0 && s[i] == s[i - 1]) {
                dp[i - 1][i] = true;
                if (res.empty() || res.length() < 2) {
                    res = s.substr(i - 1, 2);
                }
            }
        }
        
        for (int i = 3; i <= len; i++) {
            for (int j = 0; j + i <= len; j++) {
                int k = j + i - 1;
                if (dp[j + 1][k - 1] && s[j] == s[k]) {
                    dp[j][k] = true;
                    if (res.empty() || res.length() < i) {
                        res = s.substr(j, i);
                    }
                }
            }
        }
        return res;
    }
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