#include<bits/stdc++.h>
#define ll long long
const int nmax = 1e6 + 5, N = 1e5;
const ll oo = 1e18 + 1, base = 311;
const int lg = 15, M = 10;
const ll mod = 998244353, mod2 = 1e9 + 5277;
#define pii pair<int, int>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;
int n;
string a, b;
int dp[nmax][20 + 1][2];
int deg[nmax];
struct node{
int f[3];
}one[nmax];
int sz = 0, g[nmax], stu[nmax];
int F[2][100];
void add(vector<int> &v){
++sz;
g[sz] = v.size();
if(v.size() >= 1) one[sz].f[0] = v[0];
if(v.size() >= 2) one[sz].f[1] = v[1];
if(v.size() >= 3) one[sz].f[2] = v[2];
int res = 0;
for(int i = 0; i < 3; ++i){
res = res * 10 + one[sz].f[i];
}
stu[sz] = res;
deg[res] = sz;
for(int x = 0; x < 2; ++x){
int id = x;
for(int i = 0; i < 3; ++i){
if(one[sz].f[i] == 1) id = 0;
if(one[sz].f[i] == 2) id = 1;
if(one[sz].f[i] == 3) id ^= 1;
}
F[x][sz] = id;
}
}
vector<pii> adj[100], gg[100];
main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
// freopen("code.inp", "r", stdin);
// freopen("code.out", "w", stdout);
cin >> n;
cin >> a;
cin >> b;
swap(a, b);
a = ' ' + a;
b = ' ' + b;
memset(dp, 0x3f, sizeof dp);
dp[0][0][0] = 0;
vector<int> v;
for(int i = 1; i <= 3; ++i){
v.push_back(i);
do{
add(v);
}
while(next_permutation(v.begin(), v.end()));
v.clear();
}
for(int i = 1; i <= 3; ++i){
for(int j = i + 1; j <= 3; ++j){
v.push_back(i); v.push_back(j);
do{
add(v);
}
while(next_permutation(v.begin(), v.end()));
v.clear();
}
}
for(int i = 1; i <= 3; ++i) v.push_back(i);
do{
add(v);
}
while(next_permutation(v.begin(), v.end()));
v.clear();
for(int i = 0; i <= sz; ++i){
for(int j = 0; j <= sz; ++j){
if(g[i] + g[j] <= 3){
bool ok = 1;
for(int x = 0; x < 3; ++x){
if(!one[i].f[x]) break;
for(int y = 0; y < 3; ++y){
if(!one[j].f[y])break;
if(one[i].f[x] == one[j].f[y]) ok = 0;
}
}
if(ok){
int res = 0;
for(int x = 0; x < 3; ++x){
if(!one[i].f[x]) break;
res = res * 10 + one[i].f[x];
}
for(int x = 0; x < 3; ++x){
if(!one[j].f[x]) break;
res = res * 10 + one[j].f[x];
}
int x = 3 - g[i] - g[j];
while(x > 0){
res *= 10;
--x;
}
adj[i].push_back({deg[res], g[j]});
}
}
}
int res = 0;
gg[i].push_back({0, 0});
int p = -1;
for(int x = 0; x < 3; ++x){
if(!one[i].f[x]) break;
p = x + 1;
}
if(p != -1){
for(int msk = 1; msk < (1 << p); ++msk){
int res = 0,cnt =3;
for(int j = 0; j < p; ++j){
if(msk >> j & 1){
cnt--;
res = res * 10 + one[i].f[j];
}
}
while(cnt > 0){
res *= 10;
--cnt;
}
gg[i].push_back({deg[res], 0});
}
}
}
// for(int msk = 0; msk )
F[0][0] =0, F[1][0] = 1;
for(int i = 0; i < n;++i){
int x;
if(i == 0) x = 0;
else x = b[i] - '0';
for(int msk = sz; msk >= 0; --msk){
for(auto [new_msk, cost] : adj[msk]){
dp[i][new_msk][x] = min(dp[i][new_msk][x], dp[i][msk][x] + cost);
}
}
for(int msk = sz; msk >= 0; --msk){
for(auto [new_msk, cost] : gg[msk]){
int y = a[i + 1] - '0';
int id = F[y][new_msk];
dp[i + 1][new_msk][id] = min(dp[i + 1][new_msk][id], dp[i][msk][x] + cost);
}
}
}
int ans = 1e9;
for(int msk = 0; msk <= sz; ++msk) ans = min(ans, dp[n][msk][b[n]-'0']);
cout << ans;
}
/*
10
1111001110
1010100111
*/
Compilation message
lamp.cpp:47:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
47 | main(){
| ^~~~
lamp.cpp: In function 'int main()':
lamp.cpp:116:13: warning: unused variable 'res' [-Wunused-variable]
116 | int res = 0;
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
68 ms |
165456 KB |
Output is correct |
2 |
Correct |
58 ms |
165388 KB |
Output is correct |
3 |
Correct |
62 ms |
165460 KB |
Output is correct |
4 |
Correct |
59 ms |
165460 KB |
Output is correct |
5 |
Correct |
62 ms |
165528 KB |
Output is correct |
6 |
Correct |
63 ms |
165456 KB |
Output is correct |
7 |
Correct |
68 ms |
165460 KB |
Output is correct |
8 |
Incorrect |
65 ms |
165456 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
68 ms |
165456 KB |
Output is correct |
2 |
Correct |
58 ms |
165388 KB |
Output is correct |
3 |
Correct |
62 ms |
165460 KB |
Output is correct |
4 |
Correct |
59 ms |
165460 KB |
Output is correct |
5 |
Correct |
62 ms |
165528 KB |
Output is correct |
6 |
Correct |
63 ms |
165456 KB |
Output is correct |
7 |
Correct |
68 ms |
165460 KB |
Output is correct |
8 |
Incorrect |
65 ms |
165456 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
58 ms |
165456 KB |
Output is correct |
2 |
Correct |
68 ms |
165552 KB |
Output is correct |
3 |
Correct |
67 ms |
165460 KB |
Output is correct |
4 |
Correct |
63 ms |
165460 KB |
Output is correct |
5 |
Correct |
57 ms |
165572 KB |
Output is correct |
6 |
Correct |
58 ms |
165392 KB |
Output is correct |
7 |
Correct |
302 ms |
168680 KB |
Output is correct |
8 |
Incorrect |
305 ms |
169196 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
68 ms |
165456 KB |
Output is correct |
2 |
Correct |
58 ms |
165388 KB |
Output is correct |
3 |
Correct |
62 ms |
165460 KB |
Output is correct |
4 |
Correct |
59 ms |
165460 KB |
Output is correct |
5 |
Correct |
62 ms |
165528 KB |
Output is correct |
6 |
Correct |
63 ms |
165456 KB |
Output is correct |
7 |
Correct |
68 ms |
165460 KB |
Output is correct |
8 |
Incorrect |
65 ms |
165456 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |