#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int MAXN = 3e5;
int N;
char S[MAXN+10];
vector<int> adj[MAXN+10];
int sz[MAXN+10], del[MAXN+10];
void getsz(int now, int bef)
{
sz[now]=1;
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
getsz(nxt, now);
sz[now]+=sz[nxt];
}
}
int getcen(int now, int bef, int S)
{
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
if(sz[nxt]>S/2) return getcen(nxt, now, S);
}
return now;
}
vector<int> V;
int cnt[MAXN+10];
ll ans=0;
void dfs(int now, int bef, int p, int q)
{
if(S[now]=='(') p++;
else
{
p--;
q=min(q, p);
}
if(p==q)
{
//printf("%d : %d %d\n", now, p, cnt[p+N]);
ans+=cnt[p+N];
}
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
dfs(nxt, now, p, q);
}
}
void dfs2(int now, int bef, int p, int q)
{
if(S[now]==')') p++;
else
{
p--;
q=min(q, p);
}
if(p==q)
{
V.push_back(p+N);
cnt[p+N]++;
}
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
dfs2(nxt, now, p, q);
}
}
void dfs3(int now, int bef, int p, int q)
{
if(S[now]==')') p++;
else
{
p--;
q=min(q, p);
}
if(p==q)
{
//printf("%d : %d %d\n", now, p, cnt[p+N]);
ans+=cnt[p+N];
}
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
dfs3(nxt, now, p, q);
}
}
void dfs4(int now, int bef, int p, int q)
{
if(S[now]=='(') p++;
else
{
p--;
q=min(q, p);
}
if(p==q)
{
V.push_back(p+N);
cnt[p+N]++;
}
for(int nxt : adj[now])
{
if(nxt==bef) continue;
if(del[nxt]) continue;
dfs4(nxt, now, p, q);
}
}
void decomp(int now)
{
getsz(now, now);
now=getcen(now, now, sz[now]);
del[now]=true;
//printf("CEN %d\n", now);
{
int p=0, q=0;
if(S[now]=='(') p++;
else
{
p--;
q=min(q, p);
}
V.push_back(0+N);
cnt[0+N]++;
for(int i=0; i<adj[now].size(); i++)
{
int nxt=adj[now][i];
if(del[nxt]) continue;
dfs(nxt, now, p, q);
dfs2(nxt, now, 0, 0);
}
for(auto it : V) cnt[it]=0;
V.clear();
V.push_back(0+N);
cnt[0+N]++;
for(int i=adj[now].size()-1; i>=0; i--)
{
int nxt=adj[now][i];
if(del[nxt]) continue;
dfs(nxt, now, p, q);
dfs2(nxt, now, 0, 0);
}
for(auto it : V) cnt[it]=0;
V.clear();
}
{
int p=0, q=0;
if(S[now]==')') p++;
else
{
p--;
q=min(q, p);
}
V.push_back(0+N);
cnt[0+N]++;
for(int i=0; i<adj[now].size(); i++)
{
int nxt=adj[now][i];
if(del[nxt]) continue;
dfs3(nxt, now, p, q);
dfs4(nxt, now, 0, 0);
}
for(auto it : V) cnt[it]=0;
V.clear();
V.push_back(0+N);
cnt[0+N]++;
for(int i=adj[now].size()-1; i>=0; i--)
{
int nxt=adj[now][i];
if(del[nxt]) continue;
dfs3(nxt, now, p, q);
dfs4(nxt, now, 0, 0);
}
for(auto it : V) cnt[it]=0;
V.clear();
}
for(int nxt : adj[now])
{
if(del[nxt]) continue;
decomp(nxt);
}
}
int main()
{
scanf("%d", &N);
scanf(" %s", S+1);
for(int i=1; i<N; i++)
{
int u, v;
scanf("%d%d", &u, &v);
adj[u].push_back(v);
adj[v].push_back(u);
}
decomp(1);
printf("%d\n", ans/2);
}
Compilation message
zagrade.cpp: In function 'void decomp(int)':
zagrade.cpp:146:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
146 | for(int i=0; i<adj[now].size(); i++)
| ~^~~~~~~~~~~~~~~~
zagrade.cpp:180:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
180 | for(int i=0; i<adj[now].size(); i++)
| ~^~~~~~~~~~~~~~~~
zagrade.cpp: In function 'int main()':
zagrade.cpp:223:11: warning: format '%d' expects argument of type 'int', but argument 2 has type 'll' {aka 'long long int'} [-Wformat=]
223 | printf("%d\n", ans/2);
| ~^ ~~~~~
| | |
| int ll {aka long long int}
| %lld
zagrade.cpp:212:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
212 | scanf("%d", &N);
| ~~~~~^~~~~~~~~~
zagrade.cpp:213:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
213 | scanf(" %s", S+1);
| ~~~~~^~~~~~~~~~~~
zagrade.cpp:217:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
217 | scanf("%d%d", &u, &v);
| ~~~~~^~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7404 KB |
Output is correct |
2 |
Correct |
7 ms |
7404 KB |
Output is correct |
3 |
Correct |
7 ms |
7532 KB |
Output is correct |
4 |
Correct |
7 ms |
7404 KB |
Output is correct |
5 |
Correct |
7 ms |
7404 KB |
Output is correct |
6 |
Correct |
7 ms |
7404 KB |
Output is correct |
7 |
Correct |
8 ms |
7404 KB |
Output is correct |
8 |
Correct |
7 ms |
7404 KB |
Output is correct |
9 |
Correct |
7 ms |
7404 KB |
Output is correct |
10 |
Correct |
6 ms |
7404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
834 ms |
47132 KB |
Output is correct |
2 |
Correct |
788 ms |
48224 KB |
Output is correct |
3 |
Correct |
827 ms |
47340 KB |
Output is correct |
4 |
Correct |
818 ms |
47968 KB |
Output is correct |
5 |
Correct |
826 ms |
47212 KB |
Output is correct |
6 |
Correct |
810 ms |
47736 KB |
Output is correct |
7 |
Correct |
804 ms |
47084 KB |
Output is correct |
8 |
Correct |
816 ms |
47648 KB |
Output is correct |
9 |
Correct |
809 ms |
47256 KB |
Output is correct |
10 |
Correct |
708 ms |
48352 KB |
Output is correct |
11 |
Incorrect |
689 ms |
47840 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7404 KB |
Output is correct |
2 |
Correct |
7 ms |
7404 KB |
Output is correct |
3 |
Correct |
7 ms |
7532 KB |
Output is correct |
4 |
Correct |
7 ms |
7404 KB |
Output is correct |
5 |
Correct |
7 ms |
7404 KB |
Output is correct |
6 |
Correct |
7 ms |
7404 KB |
Output is correct |
7 |
Correct |
8 ms |
7404 KB |
Output is correct |
8 |
Correct |
7 ms |
7404 KB |
Output is correct |
9 |
Correct |
7 ms |
7404 KB |
Output is correct |
10 |
Correct |
6 ms |
7404 KB |
Output is correct |
11 |
Correct |
834 ms |
47132 KB |
Output is correct |
12 |
Correct |
788 ms |
48224 KB |
Output is correct |
13 |
Correct |
827 ms |
47340 KB |
Output is correct |
14 |
Correct |
818 ms |
47968 KB |
Output is correct |
15 |
Correct |
826 ms |
47212 KB |
Output is correct |
16 |
Correct |
810 ms |
47736 KB |
Output is correct |
17 |
Correct |
804 ms |
47084 KB |
Output is correct |
18 |
Correct |
816 ms |
47648 KB |
Output is correct |
19 |
Correct |
809 ms |
47256 KB |
Output is correct |
20 |
Correct |
708 ms |
48352 KB |
Output is correct |
21 |
Incorrect |
689 ms |
47840 KB |
Output isn't correct |