# [1143\. Longest Common Subsequence](https://leetcode.com/problems/longest-common-subsequence/)

:::spoiler

class Solution {
public:
    int longestCommonSubsequence(string text1, string text2)
    {
        int m = text1.size(), n = text2.size();
        vector<vector<int>> dp(m + 1, vector<int>(n + 1));
        for (int i = 1; i < m + 1; ++i)
        {
            for (int j = 1; j < n + 1; ++j)
            {
                if (text1[i - 1] == text2[j - 1])
                {
                    dp[i][j] = dp[i - 1][j - 1] + 1;
                }
                else
                {
                    dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
                }
            }
        }
        return dp[m][n];
    }
};

- T: $O(M \cdot N)$
- S: $O(M \cdot N)$
:::