#include <bits/stdc++.h>
using namespace std;
#define int long long
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
int n;
string a, b;
const int N = 1e6 + 5;
int seg[N * 4];
void Build(int l, int r, int pos)
{
if(l == r)
{
seg[pos] = a[l] - '0';
return;
}
int mid = (l + r) >> 1;
Build(l, mid, pos * 2);
Build(mid + 1, r, pos * 2 + 1);
seg[pos] = seg[pos * 2] + seg[pos * 2 + 1];
}
int Query(int l, int r, int pos, int ql, int qr)
{
if(ql <= l && r <= qr)
{
return seg[pos];
}
if(ql > r || l > qr)
{
return 0;
}
int mid = (l + r) >> 1;
return Query(l, mid, pos * 2, ql, qr) + Query(mid + 1, r, pos * 2 + 1, ql, qr);
}
void Solve()
{
cin >> n >> a >> b;
Build(0, n - 1, 1);
int prev_value = b[0] - '0', start_pos = 0;
vector<array<int, 2> > values; // {update, toggle}
for(int i = 1; i < n; i++)
{
if(prev_value != b[i] - '0')
{
int ans = Query(0, n - 1, 1, start_pos, i - 1);
int len = i - 1 - start_pos + 1;
if((ans == len && prev_value == 1) || (ans == 0 && prev_value == 0)) // no need to "update"
{
values.push_back({0, 1}); //0 for set state, 1 (+ 1) for toggle state
}
else if((ans == len && prev_value == 0) || (ans == 0 && prev_value == 1)) // no need to toggle
{
values.push_back({1, 0});
}
else
{
values.push_back({1, 1});
}
start_pos = i;
prev_value = b[i] - '0';
}
}
int ans = Query(0, n - 1, 1, start_pos, n - 1);
int len = n - 1 - start_pos + 1;
if((ans == len && prev_value == 1) || (ans == 0 && prev_value == 0))
{
values.push_back({0, 1});
}
else if((ans == len && prev_value == 0) || (ans == 0 && prev_value == 1))
{
values.push_back({1, 0});
}
else
{
values.push_back({1, 1});
}
// for(int i = 0; i < values.size(); i++)
// {
// cout << values[i][0] << " " << values[i][1] << "\n";
// }
bool istoggleon = false;
ans = 0;
int cnt = 0;
for(int i = 0; i < values.size(); i++)
{
if(values[i][0] == 0 && values[i][1] == 1)
{
istoggleon = false;
// ans += values[i][0] = 0
}
else if(values[i][0] == 1 && values[i][1] == 0)
{
if(!istoggleon) ans++; // for opening toggle
istoggleon = true;
if(cnt >= 3)
{
ans -= cnt;
ans += cnt / 2 + 1;
}
cnt = 0;
}
else
{
ans++;
// if(istoggleon) ans += values[i][1];
// else ans += values[i][0];
}
if(!istoggleon)
{
cnt++;
}
}
cout << ans << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
Compilation message
lamp.cpp: In function 'void Solve()':
lamp.cpp:89:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::array<long long int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
89 | for(int i = 0; i < values.size(); i++)
| ~~^~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
19 ms |
18984 KB |
Output is correct |
8 |
Correct |
160 ms |
35748 KB |
Output is correct |
9 |
Correct |
151 ms |
35712 KB |
Output is correct |
10 |
Correct |
160 ms |
35780 KB |
Output is correct |
11 |
Correct |
181 ms |
35672 KB |
Output is correct |
12 |
Correct |
19 ms |
18932 KB |
Output is correct |
13 |
Correct |
19 ms |
19048 KB |
Output is correct |
14 |
Correct |
25 ms |
19696 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |