#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = a; i < b; ++i)
#define REP(i, n) FOR(i, 0, n)
#define _ << " " <<
#define sz(x) ((int) x.size())
#define pb(x) push_back(x)
#define TRACE(x) cerr << #x << " = " << x << endl
typedef long long ll;
typedef pair<int, int> point;
const int MAXN = 3e5 + 5;
int n, sz[MAXN];
string s;
vector <int> E[MAXN];
bool bio[MAXN];
ll sol;
void dfs_sz(int x, int p = -1){
sz[x] = 1;
for(auto e : E[x]){
if(bio[e] || e == p) continue;
dfs_sz(e, x);
sz[x] += sz[e];
}
}
void find_centroid(int x, int total, int ¢roid, int p = -1){
int mx = 0;
for(auto e : E[x]){
if(bio[e] || e == p) continue;
find_centroid(e, total, centroid, x);
mx = max(mx, sz[e]);
}
if(max(mx, total - sz[x]) <= total / 2){
centroid = x;
}
}
void dfs_left(int x, vector <int> &v, int add, int sum = 0, int mx = 0, int p = -1){
if(s[x] == '(') sum --, mx --;
else sum ++, mx ++;
mx = max(mx, 0);
if(mx <= 0){
v[-sum] += add;
}
for(auto e : E[x]){
if(bio[e] || e == p) continue;
dfs_left(e, v, add, sum, mx, x);
}
}
void dfs_right(int x, vector <int> &v, int add, int sum = 0, int mn = 0, int p = -1){
if(s[x] == '(') sum --, mn --;
else sum ++, mn ++;
mn = min(mn, 0);
if(mn >= 0){
v[sum] += add;
}
for(auto e : E[x]){
if(bio[e] || e == p) continue;
dfs_right(e, v, add, sum, mn, x);
}
}
void solve(int x){
dfs_sz(x);
int centroid = 0;
vector <int> lt, rt, lt_sum, rt_sum;
lt.resize(sz[x] + 1); rt.resize(sz[x] + 1);
find_centroid(x, sz[x], centroid, -1);
dfs_left(centroid, lt, 1); dfs_right(centroid, rt, 1);
bio[centroid] = true;
for(auto e : E[centroid]){
if(bio[e]) continue;
int val = s[centroid] == '(' ? -1 : 1;
dfs_left(e, lt, -1, val);
dfs_right(e, rt, -1, val);
vector <int> tmp_lt, tmp_rt;
tmp_lt.resize(sz[e] + 1); tmp_rt.resize(sz[e] + 1);
dfs_left(e, tmp_lt, 1);
dfs_right(e, tmp_rt, 1);
REP(i, sz(tmp_lt)){
sol += (ll)tmp_lt[i] * rt[i];
sol += (ll)tmp_rt[i] * lt[i];
}
}
for(auto e : E[centroid]){
if(bio[e]) continue;
solve(e);
}
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n;
cin >> s;
REP(i, n - 1){
int a, b; cin >> a >> b; a --; b --;
E[a].pb(b); E[b].pb(a);
}
solve(0);
cout << sol;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
21 ms |
15224 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 |
Runtime error |
312 ms |
98208 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 |
Runtime error |
21 ms |
15224 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |