#include<cstdio>
#include<cmath>
#include<cstring>
#include<ctime>
#include<iostream>
#include<algorithm>
#include<set>
#include<vector>
#include<sstream>
#include<typeinfo>
#include<fstream>
 
using namespace std;
 
int n, m;
 
char s[1001],t[1001];
 
int dp[1001][1001];
 
 
 
void solve(){
	for (int i = 0; i <= n; ++i){
		for (int j = 0; j <= m; ++j){
			if (i == 0){
				dp[i][j] = j;
				continue;
			}
			if (j == 0){
				dp[i][j] = i;
				continue;
			}
			if (s[i - 1] != t[j - 1]){
				dp[i][j] = min(dp[i - 1][j] + 1, min(dp[i][j - 1] + 1, dp[i - 1][j - 1] + 1));
			}
			else if (s[i - 1] == t[j - 1]){
				dp[i][j] = dp[i - 1][j - 1];
			}
 
		}
	}
 
}
 
int main(){
 
	cin >> n >> m >> s >> t;
 
 
	solve();
 
 
	cout << dp[n][m] << endl;
 
	return 0;
}