#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define PB push_back
#define all(x) x.begin(),x.end()
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
const int N = 300100;
vector<int> g[N];
ll ans;
int n, siz[N], ad[N], sta[N], ed[N], mn_sta[N], mn_ed[N], mem[N];
bool used[N];
string s;
void build_sz(int v, int p){
siz[v] = 1;
for (int u : g[v]){
if (u == p || used[v]) continue;
build_sz(u, v);
siz[v] += siz[u];
}
}
int search(int v, int pr, int SZ){
for (int u : g[v]){
if (u == pr || used[v]) continue;
if (siz[u] > SZ / 2)
return search(u, v, SZ);
}
return v;
}
void dfs(int v, int pr){
mn_sta[v] = min(mn_sta[pr] + ad[v], 0);
mn_ed[v] = min(mn_ed[pr] - ad[v], 0);
sta[v] = sta[pr] + ad[v];
ed[v] = ed[pr] + ad[v];
for (int u : g[v]){
if (used[u] || u == pr) continue;
dfs(u, v);
}
}
void calc(int v, int pr){
if (mn_sta[v] == 0)
ans += mem[sta[v]];
for (int u : g[v]){
if (used[u] || u == pr) continue;
calc(u, v);
}
}
void upda(int v, int pr){
if (mn_ed[v] == 0)
mem[-ed[v]]++;
for (int u : g[v]){
if (used[u] || u == pr) continue;
upda(u, v);
}
}
void build_cd(int v){
build_sz(v, -1);
int SZ = siz[v];
int cen = search(v, -1, siz[v]);
used[cen] = 1;
// calc subtree sums
sta[cen] = 0;
ed[cen] = ad[cen];
mn_ed[cen] = min(0, -ad[cen]);
mn_sta[cen] = 0;
for (int u : g[cen]){
if (used[u]) continue;
dfs(u, cen);
}
// update ans (left, right)
//left
fill(mem, mem + SZ + 1, 0);
if (mn_ed[cen] == 0)
mem[-ed[cen]]++;
for (int u : g[cen]){
if (used[u]) continue;
calc(u, cen);
upda(u, cen);
}
//right
fill(mem, mem + SZ + 1, 0);
reverse(all(g[cen]));
for (int u : g[cen]){
if (used[u]) continue;
calc(u, cen);
upda(u, cen);
}
if (mn_sta[cen] == 0)
ans += mem[sta[cen]];
// continue process in children subtrees
for (int u : g[cen])
if (!used[u])
build_cd(u);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n >> s;
for (int i = 0; i < n; i++){
if (s[i] == '(')
ad[i] = 1;
else ad[i] = -1;
}
for (int i = 1; i < n; i++) {
int x, y; cin >> x >> y;
x--; y--;
g[x].PB(y);
g[y].PB(x);
}
build_cd(0);
cout << ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7552 KB |
Output is correct |
2 |
Correct |
6 ms |
7552 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
7552 KB |
Output is correct |
5 |
Correct |
8 ms |
7552 KB |
Output is correct |
6 |
Correct |
6 ms |
7552 KB |
Output is correct |
7 |
Correct |
5 ms |
7552 KB |
Output is correct |
8 |
Correct |
6 ms |
7424 KB |
Output is correct |
9 |
Correct |
5 ms |
7424 KB |
Output is correct |
10 |
Correct |
6 ms |
7552 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
491 ms |
44300 KB |
Output is correct |
2 |
Correct |
517 ms |
44304 KB |
Output is correct |
3 |
Correct |
484 ms |
44428 KB |
Output is correct |
4 |
Correct |
515 ms |
44428 KB |
Output is correct |
5 |
Correct |
489 ms |
44428 KB |
Output is correct |
6 |
Correct |
496 ms |
44428 KB |
Output is correct |
7 |
Correct |
490 ms |
44428 KB |
Output is correct |
8 |
Correct |
486 ms |
44416 KB |
Output is correct |
9 |
Correct |
470 ms |
44428 KB |
Output is correct |
10 |
Correct |
446 ms |
44348 KB |
Output is correct |
11 |
Correct |
453 ms |
44428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7552 KB |
Output is correct |
2 |
Correct |
6 ms |
7552 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
7552 KB |
Output is correct |
5 |
Correct |
8 ms |
7552 KB |
Output is correct |
6 |
Correct |
6 ms |
7552 KB |
Output is correct |
7 |
Correct |
5 ms |
7552 KB |
Output is correct |
8 |
Correct |
6 ms |
7424 KB |
Output is correct |
9 |
Correct |
5 ms |
7424 KB |
Output is correct |
10 |
Correct |
6 ms |
7552 KB |
Output is correct |
11 |
Correct |
491 ms |
44300 KB |
Output is correct |
12 |
Correct |
517 ms |
44304 KB |
Output is correct |
13 |
Correct |
484 ms |
44428 KB |
Output is correct |
14 |
Correct |
515 ms |
44428 KB |
Output is correct |
15 |
Correct |
489 ms |
44428 KB |
Output is correct |
16 |
Correct |
496 ms |
44428 KB |
Output is correct |
17 |
Correct |
490 ms |
44428 KB |
Output is correct |
18 |
Correct |
486 ms |
44416 KB |
Output is correct |
19 |
Correct |
470 ms |
44428 KB |
Output is correct |
20 |
Correct |
446 ms |
44348 KB |
Output is correct |
21 |
Correct |
453 ms |
44428 KB |
Output is correct |
22 |
Correct |
1227 ms |
26020 KB |
Output is correct |
23 |
Correct |
1329 ms |
25868 KB |
Output is correct |
24 |
Correct |
1299 ms |
25996 KB |
Output is correct |
25 |
Correct |
1529 ms |
25992 KB |
Output is correct |
26 |
Correct |
610 ms |
31936 KB |
Output is correct |
27 |
Correct |
597 ms |
29140 KB |
Output is correct |
28 |
Correct |
657 ms |
28040 KB |
Output is correct |
29 |
Correct |
463 ms |
44300 KB |
Output is correct |
30 |
Correct |
466 ms |
44428 KB |
Output is correct |
31 |
Execution timed out |
3099 ms |
26648 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |