#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define N 300010
using namespace std;
typedef long long ll;
map<int,int> mp;
vector <int> g[N];
int sz[N], n, bl[N], need[N], res[N];
ll ans = 0;
bool mk[N];
string s;
void dfs(int v, int p)
{
sz[v] = 1;
for (auto it : g[v])
{
if (it == p || mk[it]) continue;
dfs(it, v);
sz[v] += sz[it];
}
}
int fnd_cent(int v, int p)
{
if (p != -1) {sz[p] -= sz[v]; sz[v] += sz[p];}
for (auto it : g[v])
if (!mk[it] && sz[it] + sz[it] > sz[v]) return fnd_cent(it, v);
return v;
}
void rec(int v, int p, bool f)
{
if (need[v] == abs(bl[v]) && bl[v] <= 0 && res[v] == 0) mp[abs(bl[v])]++;
if (!f && bl[v] == 0 && need[v] == 0 && res[v] == 0) ans++;
for (auto it : g[v])
{
if (mk[it] || it == p) continue;
if (!f)
{
bl[it] = bl[v];
need[it] = need[v];
res[it] = res[v];
if (s[it] == '(') {res[it]++; bl[it]++;}
else {bl[it]--; if (res[it] > 0) res[it]--; else need[it]++;}
}
rec(it, v, f);
}
}
void dec(int v, int p)
{
if (need[v] == abs(bl[v]) && bl[v] <= 0 && res[v] == 0) mp[abs(bl[v])]--;
for (auto it : g[v])
{
if (mk[it] || it == p) continue;
dec(it, v);
}
}
void dfser(int v, int p, int need, int b)
{
if (s[v] == '(') {b++; need--; need = max(need, 0);}
else {need++; b--;}
if (b >= 0 && need == 0) ans += ll(mp[b]);
for (auto it : g[v])
{
if (mk[it] || it == p) continue;
dfser(it, v, need, b);
}
}
void calc(int v)
{
mp.clear();
mk[v] = 1;
bl[v] = need[v] = res[v] = 0;
if (s[v] == '(') {res[v]++; bl[v]++;}
else {bl[v]--; need[v] = 1;}
rec(v, -1, 0);
for (auto it : g[v])
{
if (mk[it]) continue;
dec(it, -1);
dfser(it, -1, 0, 0);
rec(it, -1, 1);
}
for (auto it : g[v])
{
if (mk[it]) continue;
int root = fnd_cent(it, -1);
if (root != -1)
{
dfs(root, -1);
calc(root);
}
}
}
int main()
{
ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
cin >> s;
for (int i = 1; i < n; i++)
{
int x, y;
cin >> x >> y;
x--; y--;
g[x].pb(y);
g[y].pb(x);
}
dfs(0, -1);
int root = fnd_cent(0, -1);
dfs(root, -1);
calc(root);
cout << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
7424 KB |
Output is correct |
2 |
Correct |
6 ms |
7424 KB |
Output is correct |
3 |
Correct |
6 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
7424 KB |
Output is correct |
5 |
Correct |
6 ms |
7424 KB |
Output is correct |
6 |
Correct |
6 ms |
7424 KB |
Output is correct |
7 |
Correct |
8 ms |
7424 KB |
Output is correct |
8 |
Correct |
7 ms |
7424 KB |
Output is correct |
9 |
Correct |
6 ms |
7424 KB |
Output is correct |
10 |
Correct |
5 ms |
7424 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
581 ms |
45024 KB |
Output is correct |
2 |
Correct |
933 ms |
47776 KB |
Output is correct |
3 |
Correct |
592 ms |
45048 KB |
Output is correct |
4 |
Correct |
903 ms |
47120 KB |
Output is correct |
5 |
Correct |
657 ms |
45068 KB |
Output is correct |
6 |
Correct |
656 ms |
45968 KB |
Output is correct |
7 |
Correct |
577 ms |
45200 KB |
Output is correct |
8 |
Correct |
596 ms |
46092 KB |
Output is correct |
9 |
Correct |
602 ms |
45452 KB |
Output is correct |
10 |
Correct |
1012 ms |
52236 KB |
Output is correct |
11 |
Correct |
452 ms |
45068 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
7424 KB |
Output is correct |
2 |
Correct |
6 ms |
7424 KB |
Output is correct |
3 |
Correct |
6 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
7424 KB |
Output is correct |
5 |
Correct |
6 ms |
7424 KB |
Output is correct |
6 |
Correct |
6 ms |
7424 KB |
Output is correct |
7 |
Correct |
8 ms |
7424 KB |
Output is correct |
8 |
Correct |
7 ms |
7424 KB |
Output is correct |
9 |
Correct |
6 ms |
7424 KB |
Output is correct |
10 |
Correct |
5 ms |
7424 KB |
Output is correct |
11 |
Correct |
581 ms |
45024 KB |
Output is correct |
12 |
Correct |
933 ms |
47776 KB |
Output is correct |
13 |
Correct |
592 ms |
45048 KB |
Output is correct |
14 |
Correct |
903 ms |
47120 KB |
Output is correct |
15 |
Correct |
657 ms |
45068 KB |
Output is correct |
16 |
Correct |
656 ms |
45968 KB |
Output is correct |
17 |
Correct |
577 ms |
45200 KB |
Output is correct |
18 |
Correct |
596 ms |
46092 KB |
Output is correct |
19 |
Correct |
602 ms |
45452 KB |
Output is correct |
20 |
Correct |
1012 ms |
52236 KB |
Output is correct |
21 |
Correct |
452 ms |
45068 KB |
Output is correct |
22 |
Correct |
1288 ms |
26508 KB |
Output is correct |
23 |
Correct |
1525 ms |
26376 KB |
Output is correct |
24 |
Correct |
1137 ms |
26504 KB |
Output is correct |
25 |
Correct |
1231 ms |
26636 KB |
Output is correct |
26 |
Correct |
681 ms |
32648 KB |
Output is correct |
27 |
Correct |
678 ms |
29836 KB |
Output is correct |
28 |
Correct |
693 ms |
28780 KB |
Output is correct |
29 |
Correct |
1025 ms |
52156 KB |
Output is correct |
30 |
Correct |
1036 ms |
52032 KB |
Output is correct |
31 |
Correct |
131 ms |
26116 KB |
Output is correct |
32 |
Correct |
460 ms |
44988 KB |
Output is correct |