#ifdef LOCAL111 #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #define _USE_MATH_DEFINES #include const int INF = 1e9; using namespace std; template ostream& operator<< (ostream& os, const pair& p) { cout << '(' << p.first << ' ' << p.second << ')'; return os; } #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef long long int LL; typedef unsigned long long ULL; typedef pair P; int editDist(string s, string t){ using P = pair; const int del_cost = 1, ins_cost = 1, rep_cost = 1; int n = s.size(), m = t.size(); array vec = {P{-1,0}, P{0,-1}, P{-1,-1}, P{-1,-1}}; vector> dp(n+1,vector(m+1,INF)); vector> pre(n+1,vector(m+1,-1)); for(int i = 0; i < n+1; ++i) { pre[i][0] = 0; dp[i][0] = i*del_cost; } for(int i = 0; i < m+1; ++i) { pre[0][i] = 1; dp[0][i] = i*ins_cost; } for(int i = 0; i < n; ++i) { for(int j = 0; j < m; ++j) { if(s[i] == t[j]){ if(dp[i+1][j+1] > dp[i][j]){ dp[i+1][j+1] = dp[i][j]; pre[i+1][j+1] = 3; } }else{ if(dp[i+1][j+1] > dp[i][j]+rep_cost){ dp[i+1][j+1] = dp[i][j]+rep_cost; pre[i+1][j+1] = 2; } } if(dp[i+1][j+1] > dp[i+1][j]+ins_cost){ dp[i+1][j+1] = dp[i+1][j]+ins_cost; pre[i+1][j+1] = 1; } if(dp[i+1][j+1] > dp[i][j+1]+del_cost){ dp[i+1][j+1] = dp[i][j+1]+del_cost; pre[i+1][j+1] = 0; } } } REP(i,n+1) dpite(ALL(dp[i])); DEBUG(endl); REP(i,n) dpite(ALL(pre[i])); DEBUG(n+1); DEBUG(m); vector ope; int i = n, j = m; while(i != 0 or j != 0){ int dx, dy; tie(dx,dy) = vec[pre[i][j]]; ope.push_back(pre[i][j]); i += dx; j += dy; } dpite(ALL(ope)); return dp[n][m]; } void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } int main() { ios_init(); string s,t; int n,m; while(cin >> n >> m >> s >> t) { cout << editDist(s,t) << endl; } return 0; }