edit_distance.cpp

#include <bits/stdc++.h>

using namespace std;

void solve(string& str1, string& str2) {
    int n = str1.size();
    int m = str2.size();
    vector<vector<int>> dp(n + 1, vector<int>(m + 1));
    for (int i = 0; i <= n; ++i) {
        for (int j = 0; j <= m; ++j) {
            if (i == 0 && j == 0) {
                dp[i][j] = 0;
            } else if (i == 0) {
                dp[i][j] = j;
            } else if (j == 0) {
                dp[i][j] = i;
            } else if (str1[i - 1] == str2[j - 1]) {
                dp[i][j] = dp[i - 1][j - 1];
            } else {
                dp[i][j] = min({dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]}) + 1;
            }
        }
    }
    cout << dp[n][m] << endl;
}

int main() {
    /* Faster Input/Output */
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);

    /* Input */
    string str1, str2;
    cin >> str1 >> str2;
    
    solve(str1, str2);
    return 0;
}