#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ldb,ldb> pdd;
#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for(auto& a : x)
#define sz(a) (int)(a).size()
#define fi first
#define se second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
const int mod = 1000000007;
const int inf = 1e9 + 5;
const int mxN = 300005;
int n;
string s;
vector<int> g[mxN];
int cnt[mxN];
bool bio[mxN];
void dfs_cnt(int v, int p){
cnt[v] = 1;
for(auto u : g[v]){
if(u != p && !bio[u]){
dfs_cnt(u, v);
cnt[v] += cnt[u];
}
}
}
int centroid(int v, int p, int vel){
for(auto u : g[v]){
if(u == p || bio[u])continue;
if(cnt[v] > vel / 2)return centroid(u, v, vel);
}
return v;
}
ll br = 0;
vector<int> cuvaj;
int kol[2 * mxN + 5];
int X = 0; bool f = 0;
void dfs(int v, int p, int sumA, int dlA, int grB){
int Y = (s[v] == '(' ? 1 : -1);
sumA += Y; dlA = min(dlA, sumA); grB = min(0, grB + Y);
if(dlA >= sumA)br += kol[sumA + mxN];
if(f == 1 && sumA + X == 0)br += (min(0, dlA + X) >= 0) + (grB >= 0);
if(grB == 0)cuvaj.pb(-(sumA + X));
for(auto u : g[v]){
if(u != p && !bio[u]){
dfs(u, v, sumA, dlA, grB);
}
}
}
void decompose(int v){
dfs_cnt(v, -1); int cen = centroid(v, -1, cnt[v]);
bio[cen] = 1; X = (s[cen] == '(' ? 1 : -1);
f = 1; vector<int> svi;
for(auto u : g[cen]){
if(!bio[u]){
dfs(u, cen, 0, 0, min(0, X));
for(auto c : cuvaj){
kol[c + mxN] += 1;
svi.pb(c + mxN);
}
cuvaj.clear();
}
}
for(auto c : svi)kol[c] -= 1;
svi.clear();
reverse(all(g[cen]));
f = 0;
for(auto u : g[cen]){
if(!bio[u]){
dfs(u, cen, 0, 0, min(0, X));
for(auto c : cuvaj){
kol[c + mxN] += 1;
svi.pb(c + mxN);
}
cuvaj.clear();
}
}
for(auto c : svi)kol[c] -= 1;
svi.clear();
// reverse(all(g[cen]));
for(auto u : g[cen]){
if(!bio[u]){
decompose(u);
}
}
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> s; s = ' ' + s;
ff(i,1,n - 1){
int u, v;
cin >> u >> v;
g[u].pb(v);
g[v].pb(u);
}
decompose(1);
cout << br << '\n';
return 0;
}
/*
// probati bojenje sahovski
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
4 ms |
7380 KB |
Output is correct |
5 |
Correct |
5 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
7 ms |
7508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
260 ms |
42048 KB |
Output is correct |
2 |
Correct |
286 ms |
41956 KB |
Output is correct |
3 |
Correct |
262 ms |
42072 KB |
Output is correct |
4 |
Correct |
264 ms |
42036 KB |
Output is correct |
5 |
Correct |
256 ms |
42088 KB |
Output is correct |
6 |
Correct |
289 ms |
43160 KB |
Output is correct |
7 |
Correct |
267 ms |
42052 KB |
Output is correct |
8 |
Correct |
270 ms |
43104 KB |
Output is correct |
9 |
Correct |
252 ms |
42168 KB |
Output is correct |
10 |
Correct |
232 ms |
45148 KB |
Output is correct |
11 |
Correct |
245 ms |
43688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
4 ms |
7380 KB |
Output is correct |
5 |
Correct |
5 ms |
7380 KB |
Output is correct |
6 |
Correct |
4 ms |
7380 KB |
Output is correct |
7 |
Correct |
4 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
7 ms |
7508 KB |
Output is correct |
11 |
Correct |
260 ms |
42048 KB |
Output is correct |
12 |
Correct |
286 ms |
41956 KB |
Output is correct |
13 |
Correct |
262 ms |
42072 KB |
Output is correct |
14 |
Correct |
264 ms |
42036 KB |
Output is correct |
15 |
Correct |
256 ms |
42088 KB |
Output is correct |
16 |
Correct |
289 ms |
43160 KB |
Output is correct |
17 |
Correct |
267 ms |
42052 KB |
Output is correct |
18 |
Correct |
270 ms |
43104 KB |
Output is correct |
19 |
Correct |
252 ms |
42168 KB |
Output is correct |
20 |
Correct |
232 ms |
45148 KB |
Output is correct |
21 |
Correct |
245 ms |
43688 KB |
Output is correct |
22 |
Correct |
671 ms |
20912 KB |
Output is correct |
23 |
Correct |
683 ms |
20444 KB |
Output is correct |
24 |
Correct |
742 ms |
20424 KB |
Output is correct |
25 |
Correct |
679 ms |
19992 KB |
Output is correct |
26 |
Execution timed out |
3064 ms |
32916 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |