#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
typedef long long ll;
typedef pair <int, int> pii;
const int MAXN = 3e5 + 5;
int n;
char parentesi[MAXN];
vector <int> connessioni[MAXN];
map <int, int> piu[MAXN];
map <int, int> meno[MAXN];
int subalbero[MAXN];
int shift[MAXN];
int gruppo[MAXN];
ll risposta;
void collegare(int a, int b, int delta) {
int& ga = gruppo[a];
int& gb = gruppo[b];
int nodo = b;
if (false && subalbero[ga] < subalbero[gb]) {
swap(a, b);
swap(ga, gb);
}
for (auto nx : piu[gb]) risposta += 1LL * nx.Y * meno[ga][-nx.X - shift[gb] - shift[ga]];
for (auto nx : meno[gb]) risposta += 1LL * nx.Y * piu[ga][-nx.X - shift[gb] - shift[ga]];
shift[gruppo[nodo]] += delta;
for (auto nx : piu[gb]) piu[ga][nx.X + shift[gb] - shift[ga]] += nx.Y;
for (auto nx : meno[gb]) meno[ga][nx.X + shift[gb] - shift[ga]] += nx.Y;
piu[ga][-1 - shift[ga]] = 0;
meno[ga][1 - shift[ga]] = 0;
subalbero[ga] += subalbero[gb];
cerr << a << ' ' << b << ' ' << delta << '\n';
cerr << shift[ga] << ' ' << shift[gb] << ' ' << risposta << ' ' << nodo << '\n';
cerr << "piu "; for (auto nx : piu[ga]) cerr << nx.X << ' ' << nx.Y << " : "; cerr << '\n';
cerr << "meno "; for (auto nx : meno[ga]) cerr << nx.X << ' ' << nx.Y << " : "; cerr << '\n';
cerr << '\n';
gb = ga;
}
void dfs(int nodo, int pnodo) {
subalbero[nodo] = 1;
if (parentesi[nodo] == '(') piu[nodo][1]++;
else meno[nodo][-1]++;
for (auto nnodo : connessioni[nodo]) {
if (nnodo == pnodo) continue;
cerr << "qui "<< nodo << ' ' << nnodo <<"\n";
dfs(nnodo, nodo);
collegare(nodo, nnodo, (parentesi[nodo] == '(' ? 1 : -1));
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 0; i < n; i++) {
cin >> parentesi[i];
gruppo[i] = i;
}
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
u--, v--;
connessioni[u].push_back(v);
connessioni[v].push_back(u);
}
dfs(0, -1);
cout << risposta << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
104 ms |
35852 KB |
Output is correct |
2 |
Correct |
104 ms |
35892 KB |
Output is correct |
3 |
Correct |
90 ms |
35812 KB |
Output is correct |
4 |
Correct |
93 ms |
35840 KB |
Output is correct |
5 |
Correct |
90 ms |
35940 KB |
Output is correct |
6 |
Correct |
98 ms |
35944 KB |
Output is correct |
7 |
Correct |
94 ms |
35916 KB |
Output is correct |
8 |
Correct |
94 ms |
35908 KB |
Output is correct |
9 |
Correct |
90 ms |
35824 KB |
Output is correct |
10 |
Correct |
74 ms |
35664 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3047 ms |
113356 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
104 ms |
35852 KB |
Output is correct |
2 |
Correct |
104 ms |
35892 KB |
Output is correct |
3 |
Correct |
90 ms |
35812 KB |
Output is correct |
4 |
Correct |
93 ms |
35840 KB |
Output is correct |
5 |
Correct |
90 ms |
35940 KB |
Output is correct |
6 |
Correct |
98 ms |
35944 KB |
Output is correct |
7 |
Correct |
94 ms |
35916 KB |
Output is correct |
8 |
Correct |
94 ms |
35908 KB |
Output is correct |
9 |
Correct |
90 ms |
35824 KB |
Output is correct |
10 |
Correct |
74 ms |
35664 KB |
Output is correct |
11 |
Execution timed out |
3047 ms |
113356 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |