#include "bits/stdc++.h"
using namespace std;

//諸機能
#pragma region MACRO 
#define putans(x)  std::cerr << "[ answer ]: " ; cout << (x) << endl
#define dputans(x) std::cerr << "[ answer ]: "; cout << setprecision(27) << (double)(x) << endl
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define RREP(i,a,n) for(int i=(int)(n-1); i>= a; i--)
#define rep(i,n) REP(i,0,n)
#define rrep(i,n) RREP(i,0,n)
#define all(a) begin((a)),end((a))
#define mp make_pair
#define exist(container, n) ((container).find((n)) != (container).end())
#define equals(a,b) (fabs((a)-(b)) < EPS)
#ifdef _DEBUG //ファイルからテストデータを読み込む
std::ifstream ifs("data.txt");
#define put ifs >>
#else //ジャッジシステムでいい感じにやる
#define put cin >>
#endif
#pragma endregion
//デバッグなどの支援
#pragma region CODING_SUPPORT
#ifdef _DEBUG
#define dbg(var0) { std::cerr << ( #var0 ) << "=" << ( var0 ) << endl; }
#define dbg2(var0, var1) { std::cerr << ( #var0 ) << "=" << ( var0 ) << ", "; dbg(var1); }
#define dbg3(var0, var1, var2) { std::cerr << ( #var0 ) << "=" << ( var0 ) << ", "; dbg2(var1, var2); }
#define dbgArray(a,n) {std::cerr << (#a) << "=";  rep(i,n){std::cerr <<(a[i])<<",";} cerr<<endl;} 
#else
#define dbg(var0) {}
#define dbg2(var0, var1) {}
#define dbg3(var0, var1, var2) {}
#define dbgArray(a,n) {}
#endif 
#pragma endregion 
//typedef（書き換える、書き足す可能性ある）
#pragma region TYPE_DEF
typedef long long ll;
typedef pair<int, int> pii; typedef pair<string, string> pss; typedef pair<int, string>pis;
typedef vector<string> vs; typedef vector<int> vi;
#pragma endregion
//諸々の定数(書き換える可能性ある)
#pragma region CONST_VAL
#define PI (2*acos(0.0))
#define EPS (1e-10)
#define MOD (ll)(1e9 + 7)
#define INF (ll)(2*1e9)
#pragma endregion

int main() {
	int n, m; put n >> m;
	string s1; put s1;
	string s2; put s2;
	int l1 = s1.size();
	int l2 = s2.size();
	int dp[1001][1001];
	rep(i, l1+1) {
		dp[i][0] = i;
	}
	rep(i, l2+1) {
		dp[0][i] = i;
	}
	rep(i, l1) {
		rep(j, l2) {
			int cost = (s1[i] == s2[j]) ? 0 : 1;
			dp[i + 1][j + 1] = min(dp[i][j+1]+1,min(dp[i+1][j]+1,dp[i][j]+cost));
		}
	}
	cout << dp[l1][l2] << endl;
END:
	return 0;
}