#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 3e5 + 5;
int n;
int sz[N], x[N], y[N], f[N], b[N], mx[N], mn[N], dep[N];
bool del[N];
long long res;
string s;
vector<int> g[N];
void dfs(int u, int p) {
sz[u] = 1;
for (int v : g[u]) {
if (!del[v] && v != p) {
dfs(v, u);
sz[u] += sz[v];
}
}
}
int findCen(int u, int p, int tot) {
for (int v : g[u]) {
if (!del[v] && v != p && sz[v] * 2 > tot) {
return findCen(v, u, tot);
}
}
return u;
}
vector<int> ver;
void DFS(int u, int p) {
x[u] = x[p] + (s[u] == '(' ? 1 : -1);
y[u] = y[p] + (s[u] == '(' ? 1 : -1);
mx[u] = max(mx[p], x[u]);
mn[u] = min(mn[p], y[u]);
dep[u] = dep[p] + 1;
ver.push_back(u);
for (int v : g[u]) {
if (!del[v] && v != p) {
DFS(v, u);
}
}
}
void cd(int u) {
dfs(u, u);
u = findCen(u, u, sz[u]);
del[u] = 1;
dep[u] = 1;
++b[0];
f[1] += s[u] == '(';
mn[u] = mx[u] = y[u] = 0;
x[u] = s[u] == '(' ? 1 : -1;
mx[u] = max(mx[u], x[u]);
int d = 1;
for (int v : g[u]) {
if (!del[v]) {
vector<int>().swap(ver);
DFS(v, u);
for (int c : ver) {
d = max(d, dep[c]);
if (y[c] <= mn[c]) {
res += f[-y[c]];
}
if (x[c] >= mx[c]) {
res += b[x[c]];
}
}
for (int c : ver) {
if (y[c] <= mn[c]) {
++b[-y[c]];
}
if (x[c] >= mx[c]) {
++f[x[c]];
}
}
}
}
for (int i = 0; i <= d; ++i) {
f[i] = b[i] = 0;
}
for (int v : g[u]) {
if (!del[v]) {
cd(v);
}
}
}
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> s;
for (int i = 1; i < n; ++i) {
int u, v; cin >> u >> v; --u, --v;
g[u].push_back(v);
g[v].push_back(u);
}
cd(0);
cout << res;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7516 KB |
Output is correct |
2 |
Correct |
3 ms |
7516 KB |
Output is correct |
3 |
Correct |
5 ms |
7520 KB |
Output is correct |
4 |
Correct |
6 ms |
7516 KB |
Output is correct |
5 |
Correct |
3 ms |
7528 KB |
Output is correct |
6 |
Correct |
4 ms |
7516 KB |
Output is correct |
7 |
Correct |
3 ms |
7520 KB |
Output is correct |
8 |
Correct |
5 ms |
7548 KB |
Output is correct |
9 |
Correct |
3 ms |
7516 KB |
Output is correct |
10 |
Correct |
4 ms |
7516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
243 ms |
52660 KB |
Output is correct |
2 |
Correct |
271 ms |
54580 KB |
Output is correct |
3 |
Correct |
255 ms |
55956 KB |
Output is correct |
4 |
Correct |
286 ms |
54860 KB |
Output is correct |
5 |
Correct |
261 ms |
54932 KB |
Output is correct |
6 |
Correct |
248 ms |
54916 KB |
Output is correct |
7 |
Correct |
286 ms |
54932 KB |
Output is correct |
8 |
Correct |
247 ms |
54788 KB |
Output is correct |
9 |
Correct |
313 ms |
54868 KB |
Output is correct |
10 |
Correct |
278 ms |
54820 KB |
Output is correct |
11 |
Correct |
237 ms |
54928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7516 KB |
Output is correct |
2 |
Correct |
3 ms |
7516 KB |
Output is correct |
3 |
Correct |
5 ms |
7520 KB |
Output is correct |
4 |
Correct |
6 ms |
7516 KB |
Output is correct |
5 |
Correct |
3 ms |
7528 KB |
Output is correct |
6 |
Correct |
4 ms |
7516 KB |
Output is correct |
7 |
Correct |
3 ms |
7520 KB |
Output is correct |
8 |
Correct |
5 ms |
7548 KB |
Output is correct |
9 |
Correct |
3 ms |
7516 KB |
Output is correct |
10 |
Correct |
4 ms |
7516 KB |
Output is correct |
11 |
Correct |
243 ms |
52660 KB |
Output is correct |
12 |
Correct |
271 ms |
54580 KB |
Output is correct |
13 |
Correct |
255 ms |
55956 KB |
Output is correct |
14 |
Correct |
286 ms |
54860 KB |
Output is correct |
15 |
Correct |
261 ms |
54932 KB |
Output is correct |
16 |
Correct |
248 ms |
54916 KB |
Output is correct |
17 |
Correct |
286 ms |
54932 KB |
Output is correct |
18 |
Correct |
247 ms |
54788 KB |
Output is correct |
19 |
Correct |
313 ms |
54868 KB |
Output is correct |
20 |
Correct |
278 ms |
54820 KB |
Output is correct |
21 |
Correct |
237 ms |
54928 KB |
Output is correct |
22 |
Correct |
467 ms |
30180 KB |
Output is correct |
23 |
Correct |
397 ms |
29952 KB |
Output is correct |
24 |
Correct |
353 ms |
29476 KB |
Output is correct |
25 |
Correct |
357 ms |
30136 KB |
Output is correct |
26 |
Correct |
258 ms |
38012 KB |
Output is correct |
27 |
Correct |
240 ms |
34876 KB |
Output is correct |
28 |
Correct |
241 ms |
33172 KB |
Output is correct |
29 |
Correct |
242 ms |
54928 KB |
Output is correct |
30 |
Correct |
200 ms |
54860 KB |
Output is correct |
31 |
Correct |
73 ms |
28616 KB |
Output is correct |
32 |
Correct |
217 ms |
54760 KB |
Output is correct |