代码随想录：编辑距离

class Solution {
public:
    int minDistance(string word1, string word2) {
        int m = word1.length();
        int n = word2.length();
        vector<vector<int>> dp =
            vector<vector<int>>(m + 1, vector<int>(n + 1, 0));
        for (int i = 1; i <= m; i++) {
            dp[i][0] = i;
        }
        for (int j = 1; j <= n; j++) {
            dp[0][j] = j;
        }

        for (int i = 1; i <= m; i++) {
            for (int j = 1; j <= n; j++) {
                if (word1[i - 1] == word2[j - 1])
                    dp[i][j] = dp[i - 1][j - 1];
                else {
                    //删除/增加为一种
                    dp[i][j] =
                        1 + min({dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]});
                }
            }
        }
        return dp[m][n];
    }
};