#include<bits/stdc++.h>
#define all(s) s.begin(),s.end()
#define F first
#define S second
using namespace std;
typedef long long ll;
ll n,c[300009],x,y,ans,sz[300009];
bool is[300009];
char cc;
vector<vector<ll> >v;
map<ll,ll>mp;
void dfs(ll d,ll p)
{
sz[d]=1;
for(auto z:v[d])
{
if(z==p||is[z])
continue;
dfs(z,d);
sz[d]+=sz[z];
}
}
ll centroid(ll d,ll p,ll op)
{
for(auto z:v[d])
{
if(z==p||is[z])
continue;
if(sz[z]>op)
return centroid(z,d,op);
}
return d;
}
void best(ll d,ll p,ll cur,ll mx,bool b)
{
cur+=c[d];
mx=max(mx,cur);
if(cur>=mx)
mp[cur]++;
if(cur<0)
b=0;
if(cur>=mx&&cur==0)
ans++;
if(b&&cur==0)
ans++;
for(auto z:v[d])
{
if(z==p||is[z])
continue;
best(z,d,cur,mx,b);
}
}
void rem(ll d,ll p,ll cur,ll mx)
{
cur+=c[d];
mx=max(mx,cur);
if(cur>=mx)
mp[cur]--;
for(auto z:v[d])
{
if(z==p||is[z])
continue;
rem(z,d,cur,mx);
}
}
void add(ll d,ll p,ll cur,ll mx)
{
cur+=c[d];
mx=max(mx,cur);
if(cur>=mx)
mp[cur]++;
for(auto z:v[d])
{
if(z==p||is[z])
continue;
add(z,d,cur,mx);
}
}
void op(ll d,ll p,ll cur,ll mn)
{
cur+=c[d];
mn=min(mn,cur);
if(cur<=mn)
ans+=mp[-cur];
for(auto z:v[d])
{
if(z==p||is[z])
continue;
op(z,d,cur,mn);
}
}
void calc(ll o)
{
dfs(o,o);
o=centroid(o,o,sz[o]/2);
is[o]=1;
mp.clear();
best(o,o,0,0,1);
if(c[o]==1)
mp[1]--;
for(auto z:v[o])
{
if(is[z])
continue;
rem(z,z,c[o],max(0LL,c[o]));
op(z,o,0,0);
add(z,z,c[o],max(0LL,c[o]));
}
for(auto z:v[o])
if(!is[z])
calc(z);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0),cout.tie(0);
cin>>n;
v.resize(n+1);
for(ll i=1; i<=n; i++)
{
cin>>cc;
if(cc=='(')
c[i]=1;
else
c[i]=-1;
}
for(ll i=1; i<n; i++)
{
cin>>x>>y;
v[x].push_back(y);
v[y].push_back(x);
}
/*for(ll i=1;i<n;i++)
v[i].push_back(i+1),v[i+1].push_back(i);*/
calc(1);
cout<<ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
2 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
538 ms |
41020 KB |
Output is correct |
2 |
Correct |
664 ms |
48484 KB |
Output is correct |
3 |
Correct |
522 ms |
44740 KB |
Output is correct |
4 |
Correct |
647 ms |
47484 KB |
Output is correct |
5 |
Correct |
554 ms |
44744 KB |
Output is correct |
6 |
Correct |
688 ms |
46008 KB |
Output is correct |
7 |
Correct |
512 ms |
44740 KB |
Output is correct |
8 |
Correct |
723 ms |
45968 KB |
Output is correct |
9 |
Correct |
523 ms |
44728 KB |
Output is correct |
10 |
Correct |
1091 ms |
54088 KB |
Output is correct |
11 |
Correct |
479 ms |
44828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
2 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
538 ms |
41020 KB |
Output is correct |
12 |
Correct |
664 ms |
48484 KB |
Output is correct |
13 |
Correct |
522 ms |
44740 KB |
Output is correct |
14 |
Correct |
647 ms |
47484 KB |
Output is correct |
15 |
Correct |
554 ms |
44744 KB |
Output is correct |
16 |
Correct |
688 ms |
46008 KB |
Output is correct |
17 |
Correct |
512 ms |
44740 KB |
Output is correct |
18 |
Correct |
723 ms |
45968 KB |
Output is correct |
19 |
Correct |
523 ms |
44728 KB |
Output is correct |
20 |
Correct |
1091 ms |
54088 KB |
Output is correct |
21 |
Correct |
479 ms |
44828 KB |
Output is correct |
22 |
Correct |
1004 ms |
27560 KB |
Output is correct |
23 |
Correct |
1000 ms |
27572 KB |
Output is correct |
24 |
Correct |
953 ms |
27576 KB |
Output is correct |
25 |
Correct |
1006 ms |
27580 KB |
Output is correct |
26 |
Correct |
646 ms |
33480 KB |
Output is correct |
27 |
Correct |
694 ms |
30848 KB |
Output is correct |
28 |
Correct |
651 ms |
29712 KB |
Output is correct |
29 |
Correct |
1051 ms |
54068 KB |
Output is correct |
30 |
Correct |
1004 ms |
54028 KB |
Output is correct |
31 |
Correct |
104 ms |
27316 KB |
Output is correct |
32 |
Correct |
455 ms |
44616 KB |
Output is correct |