#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef complex<long double> point;
const int maxn = 1e5 + 10;
string s;
vector<int> t[maxn];
int sz[maxn];
bool mark[maxn];
ll answer = 0, ans2;
int cnt[maxn];
void dfs2(int v, int mnm, int sum, int par = -1){
if (s[v] == '(')
sum ++;
else
sum --;
mnm = min(mnm, sum);
if (mnm == sum){
cnt[-mnm] ++;
if (mnm == 0)
ans2 ++;
}
for (auto u : t[v])
if (!mark[u] and u != par)
dfs2(u, mnm, sum, v);
}
void dfs1(int v, int need, int sum, int par = -1){
if (s[v] == '('){
need = max(need - 1, 0);
sum ++;
}
else{
need ++;
sum --;
}
if (need == 0){
answer += cnt[sum];
}
for (auto u : t[v])
if (!mark[u] and u != par)
dfs1(u, need, sum, v);
}
int dfssz(int v, int par = -1){
sz[v] = 1;
for (auto u : t[v])
if (!mark[u] and u != par)
sz[v] += dfssz(u, v);
return sz[v];
}
void centroidDecomposition(int v){
int Max = dfssz(v), par = -1;
bool found = 1;
while (found){
found = 0;
for (auto u : t[v])
if (!mark[u] and u != par and 2*sz[u] >= Max){
par = v, v = u, found = 1;
break;
}
}
if (s[v] == ')')
cnt[1] ++;
for (auto u : t[v]){
if (mark[u])
continue;
dfs1(u, 0, 0, v);
int mnm = 0, sum = 0;
if (s[v] == '(')
sum ++;
else
mnm = sum = -1;
dfs2(u, mnm, sum, v);
}
cnt[0] = 0;
for (int i = 1; cnt[i] > 0; i++)
cnt[i] = 0;
reverse(t[v].begin(), t[v].end());
for (auto u : t[v]){
if (mark[u])
continue;
dfs1(u, 0, 0, v);
int mnm = 0, sum = 0;
if (s[v] == '(')
sum ++;
else
mnm = sum = -1;
dfs2(u, mnm, sum, v);
}
cnt[0] = 0;
for (int i = 1; cnt[i] > 0; i++)
cnt[i] = 0;
mark[v] = 1;
for (auto u : t[v])
if (!mark[u])
centroidDecomposition(u);
}
int main(){
ios_base::sync_with_stdio(false);
int n;
cin >> n;
cin >> s;
s = "#" + s;
for (int i = 1; i <= n-1; i++){
int v, u;
cin >> v >> u;
t[v].push_back(u);
t[u].push_back(v);
}
centroidDecomposition(1);
cout << answer + ans2/2 << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
2688 KB |
Output is correct |
2 |
Correct |
7 ms |
2688 KB |
Output is correct |
3 |
Incorrect |
7 ms |
2816 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
45 ms |
12132 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
2688 KB |
Output is correct |
2 |
Correct |
7 ms |
2688 KB |
Output is correct |
3 |
Incorrect |
7 ms |
2816 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |