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