#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 3e5+5;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
string s;
vector<int> adj[MAXN];
bool erased[MAXN];
int sz[MAXN];
ll ans = 0;
unordered_map<int, int> mp;
void dfs(int v, int pr = -1){
sz[v] = 1;
for(int j: adj[v]){
if(j != pr && !erased[j]){
dfs(j, v);
sz[v] += sz[j];
}
}
}
int cent(int v){
int siz = sz[v];
int pr = -1;
bool cont = 1;
while(cont){
cont = 0;
for(int j: adj[v]){
if(erased[j] || j == pr) continue;
if(2*sz[j] > siz){
pr = v;
v = j;
cont = 1;
break;
}
}
}
return v;
}
void upd(int v, int par, int val, int pre = 0, int tot = 0){
if(s[v] == ')'){
pre--;
tot--;
}else{
pre++;
tot = min(0, tot + 1);
}
//cerr<<v<<" "<<pre<<" "<<tot<<endl;
if(tot == 0 && pre >= 0){
mp[pre] += val;
}
for(int j: adj[v]){
if(j != par && !erased[j]){
upd(j, v, val, pre, tot);
}
}
}
void add(int v, int par, int pre = 0, int tot = 0){
if(s[v] == ')'){
pre++;
tot = max(0, tot - 1);
}else{
pre--;
tot++;
}
if(tot == 0 && pre >= 0){
ans += mp[pre];
}
for(int j: adj[v]){
if(!erased[j] && j != par){
add(j, v, pre, tot);
}
}
}
void do_it(int v){
dfs(v);
v = cent(v);
//cerr<<v<<endl;
upd(v, -1, 1);
ans += mp[0];
int pr, tt;
if(s[v] == ')')
pr = tt = -1;
else{
pr = 1;
tt = 0;
}
for(int j: adj[v]){
if(erased[j])
continue;
upd(j, v, -1, pr, tt);
add(j, v);
upd(j, v, 1, pr, tt);
}
upd(v, -1, -1);
erased[v] = 1;
for(int j: adj[v])
if(!erased[j])
do_it(j);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);cout.tie(nullptr);
#ifdef Local
freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/int.txt","r",stdin);
freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/out.txt","w",stdout);
#endif
cin>>n;
cin>>s;
s = '.' + s;
for(int i = 0; i < n - 1; i++){
int a, b;
cin>>a>>b;
adj[a].push_back(b);
adj[b].push_back(a);
}
do_it(1);
cout<<ans<<endl;
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
7404 KB |
Output is correct |
2 |
Correct |
6 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
6 ms |
7404 KB |
Output is correct |
5 |
Correct |
6 ms |
7404 KB |
Output is correct |
6 |
Correct |
6 ms |
7404 KB |
Output is correct |
7 |
Correct |
10 ms |
7404 KB |
Output is correct |
8 |
Correct |
11 ms |
7404 KB |
Output is correct |
9 |
Correct |
11 ms |
7404 KB |
Output is correct |
10 |
Correct |
6 ms |
7404 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
609 ms |
42712 KB |
Output is correct |
2 |
Correct |
675 ms |
48600 KB |
Output is correct |
3 |
Correct |
662 ms |
46532 KB |
Output is correct |
4 |
Correct |
650 ms |
48088 KB |
Output is correct |
5 |
Correct |
614 ms |
46424 KB |
Output is correct |
6 |
Correct |
660 ms |
47064 KB |
Output is correct |
7 |
Correct |
628 ms |
46296 KB |
Output is correct |
8 |
Correct |
659 ms |
47064 KB |
Output is correct |
9 |
Correct |
617 ms |
46168 KB |
Output is correct |
10 |
Correct |
591 ms |
52860 KB |
Output is correct |
11 |
Correct |
591 ms |
46168 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
7404 KB |
Output is correct |
2 |
Correct |
6 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
6 ms |
7404 KB |
Output is correct |
5 |
Correct |
6 ms |
7404 KB |
Output is correct |
6 |
Correct |
6 ms |
7404 KB |
Output is correct |
7 |
Correct |
10 ms |
7404 KB |
Output is correct |
8 |
Correct |
11 ms |
7404 KB |
Output is correct |
9 |
Correct |
11 ms |
7404 KB |
Output is correct |
10 |
Correct |
6 ms |
7404 KB |
Output is correct |
11 |
Correct |
609 ms |
42712 KB |
Output is correct |
12 |
Correct |
675 ms |
48600 KB |
Output is correct |
13 |
Correct |
662 ms |
46532 KB |
Output is correct |
14 |
Correct |
650 ms |
48088 KB |
Output is correct |
15 |
Correct |
614 ms |
46424 KB |
Output is correct |
16 |
Correct |
660 ms |
47064 KB |
Output is correct |
17 |
Correct |
628 ms |
46296 KB |
Output is correct |
18 |
Correct |
659 ms |
47064 KB |
Output is correct |
19 |
Correct |
617 ms |
46168 KB |
Output is correct |
20 |
Correct |
591 ms |
52860 KB |
Output is correct |
21 |
Correct |
591 ms |
46168 KB |
Output is correct |
22 |
Correct |
1477 ms |
23000 KB |
Output is correct |
23 |
Correct |
1363 ms |
23000 KB |
Output is correct |
24 |
Correct |
1382 ms |
22952 KB |
Output is correct |
25 |
Correct |
1431 ms |
22872 KB |
Output is correct |
26 |
Correct |
698 ms |
30808 KB |
Output is correct |
27 |
Correct |
705 ms |
27224 KB |
Output is correct |
28 |
Correct |
723 ms |
25816 KB |
Output is correct |
29 |
Correct |
589 ms |
52860 KB |
Output is correct |
30 |
Correct |
589 ms |
52980 KB |
Output is correct |
31 |
Correct |
121 ms |
22612 KB |
Output is correct |
32 |
Correct |
591 ms |
46168 KB |
Output is correct |