#include <bits/stdc++.h>
using namespace std;
#define dbgv(v) cout<<#v<<" = "; f(i,0,v.size()) cout<<v[i]<<" "; cout<<endl
#define dbga(a,x,y) cout<<#a<<" = "; f(i,x,y) cout<<a[i]<<" "; cout<<endl
#define erorp(x) cout<<#x<<"={"<<x.F<<" , "<<x.S<<"}"<<endl
#define eror(x) cout<<#x<<'='<<(x)<<endl
#define f_(i,a,b) for(int i=a;i>=b;i--)
#define f(i,a,b) for(int i=a;i<b;i++)
#define nb(x) __builtin_popcount(x)
#define all(v) v.begin(),v.end()
#define bit(n,k) (((n)>>(k))&1)
#define Add(x,y) x=(x+y)%mod
#define maxm(a,b) a=max(a,b)
#define minm(a,b) a=min(a,b)
#define lst(x) x[x.size()-1]
#define sz(x) int(x.size())
#define mp make_pair
#define ll long long
#define pb push_back
#define S second
#define F first
const int N=1e6+99;
int n,m,t,centroid,a[N],cnt[N],sz[N],vis[N];
pair<int,int> dp[N],pd[N];
ll ans;
string s;
vector<int> g[N];
void dfs1(int u,int p){
sz[u]=1;
for(auto v : g[u]){
if(v==p || vis[v]) continue ;
dfs1(v,u);
sz[u]+=sz[v];
}
if(centroid==0 && 2*sz[u]>=m) centroid=u;
}
void dfs2(int u,int p){
sz[u]=1;
dp[u]=dp[p];
if(s[u]=='(') dp[u].F++,dp[u].S=min(0,dp[u].S+1);
else dp[u].F--,dp[u].S--;
for(auto v : g[u]){
if(v==p || vis[v]) continue ;
dfs2(v,u);
sz[u]+=sz[v];
}
if(dp[u].S==0){
ans+=cnt[dp[u].F];
}
if(dp[u].F==0 && dp[u].S==0 && t==1){
ans++;
}
}
void dfs3(int u,int p){
pd[u]=pd[p];
if(s[u]==')') pd[u].F++,pd[u].S=min(0,pd[u].S+1);
else pd[u].F--,pd[u].S--;
for(auto v : g[u]){
if(v==p || vis[v]) continue ;
dfs3(v,u);
}
if(pd[u].S==0){
cnt[pd[u].F]++;
}
if(s[centroid]=='(' && pd[u].F==1 && pd[u].S==0 && t==1){
ans++;
}
}
int calc(int u,int _t){
t=_t;
f(i,0,m+1) cnt[i]=0;
pd[u]={0,0};
if(s[u]=='(') dp[u]={1,0};
else dp[u]={-1,-1};
for(auto v : g[u]){
if(vis[v]) continue ;
dfs2(v,u);
dfs3(v,u);
}
}
void solve(int x,int _m){
m=_m;
centroid=0;
dfs1(x,x);
int rt=centroid;
calc(rt,0); reverse(all(g[rt]));
calc(rt,1);
vis[rt]=1;
for(auto v : g[rt]){
if(vis[v]) continue ;
solve(v,sz[v]);
}
}
int32_t main(){
ios:: sync_with_stdio(0), cin.tie(0), cout.tie(0);
cin>>n>>s;
s=' '+s;
f(i,1,n){
int u,v;
cin>>u>>v;
g[u].pb(v);
g[v].pb(u);
}
solve(1,n);
cout<<ans;
}
Compilation message
zagrade.cpp: In function 'int calc(int, int)':
zagrade.cpp:84:1: warning: no return statement in function returning non-void [-Wreturn-type]
84 | }
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
111 ms |
48212 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
3044 ms |
68180 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
111 ms |
48212 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
