516 Longest Palindromic Subsequence 最长回文子序列

Posted 2020-11-01 lina2014

给定一个字符串s，找到其中最长的回文子序列。可以假设s的最大长度为1000。

详见：https://leetcode.com/problems/longest-palindromic-subsequence/description/

C++：

class Solution {
public:
    int longestPalindromeSubseq(string s)
    {
        int n = s.size();
        vector<vector<int>> dp(n, vector<int>(n));
        for (int i = n - 1; i >= 0; --i)
        {
            dp[i][i] = 1;
            for (int j = i + 1; j < n; ++j)
            {
                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];
    }
};

 参考：http://www.cnblogs.com/grandyang/p/6493182.html