This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 1e6 + 10;
int dp[maxn][65];
int mab(int fi, int se, int th){
return fi + se * 4 + 16 * th;
}
int transform(int x, int query){
if (query == 0)
return x;
else if (query == 1)
return 0;
else if (query == 2)
return 1;
else
return 1 ^ x;
}
int transfer(int q, int fi, int se, int th){
q = transform(q, fi);
q = transform(q, se);
q = transform(q, th);
return q;
}
bool C(int x){
return x > 0;
}
int lcs[5][5];
int pd[5][5][5][5][5][5];
int cost(int fi, int se, int th, int all){
int Fi = (all / 1) % 4;
int Se = (all / 4) % 4;
int Th = (all / 16) % 4;
if (pd[fi][se][th][Fi][Se][Th] != -1)
return pd[fi][se][th][Fi][Se][Th];
vector<int> a = {fi, se, th};
vector<int> b = {Fi, Se, Th};
int cnt = C(Fi) + C(Se) + C(Th);
for (int i = 1; i <= 3; i++){
for (int j = 1; j <= 3; j++){
lcs[i][j] = max(lcs[i - 1][j], lcs[i][j - 1]);
if (a[i - 1] == 0 or b[i - 1] == 0)
continue;
lcs[i][j] = max(lcs[i][j], (lcs[i - 1][j - 1] + 1) * (a[i - 1] == b[j - 1]));
}
}
// cout << fi << " " << se << " " << th << " ----- " << cnt - lcs[3][3] << " -----> " << Fi << " " << Se << " " << Th << endl;
return pd[fi][se][th][Fi][Se][Th] = cnt - lcs[3][3];
}
vector<int> go[2][2];
int main(){
ios_base::sync_with_stdio(false);
memset(pd, -1, sizeof pd);
int n;
string s, t;
cin >> n >> s >> t;
memset(dp, 63, sizeof dp);
dp[0][0] = 0;
int answer = n;
for (int i = 0; i <= 3; i++){
for (int j = 0; j <= 3; j++){
for (int k = 0; k <= 3; k++){
int nex = transfer(0, i, j, k);
go[0][nex].push_back(mab(i, j, k));
nex = transfer(1, i, j, k);
go[1][nex].push_back(mab(i, j, k));
}
}
}
for (int i = 1; i <= n; i++){
int me = (int)(s[i - 1] - '0');
int nex = (int)(t[i - 1] - '0');
for (auto it : go[me][nex]){
for (int x = 0; x <= 3; x++){
for (int y = 0; y <= 3; y++){
for (int z = 0; z <= 3; z++){
dp[i][it] = min(dp[i][it], dp[i - 1][mab(x, y, z)] + cost(x, y, z, it));
}
}
}
if (i == n)
answer = min(answer, dp[i][it]);
}
}
cout << answer << endl;
}
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