This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int nx=1e6+5;
int n, vs[nx], sm[nx], rem[nx], cnt, res, lvl[nx], t, mx, cntt;
vector<int> d[nx];
void dfs(int u, int p)
{
vs[u]=1;
lvl[u]=lvl[p]+1;
for (auto v:d[u])
{
if (v==p) continue;
if (!vs[v]) dfs(v, u);
else if (lvl[v]<lvl[u]) sm[u]++, rem[v]++, cnt++;
}
}
void dfs2(int u, int p)
{
vs[u]=1;
for (auto v:d[u]) if (v!=p&&!vs[v]) dfs2(v, u), sm[u]+=sm[v]-rem[v];
if (sm[u]==cnt)
{
int f=0, tmp=d[u].size()>2;
if (mx>3&&cntt>1) return;
if (mx>3&&cntt==1&&d[u].size()<=3) return;
for (auto v:d[u]) if (d[v].size()==3) tmp++;
if (!f&&tmp==t) res++;
}
}
void Init(int N_) {
n=N_;
}
void Link(int A, int B) {
d[A].push_back(B), d[B].push_back(A);
}
int CountCritical() {
cnt=res=t=mx=cntt=0;
for (int i=0; i<n; i++) vs[i]=sm[i]=rem[i]=lvl[i]=0, t+=d[i].size()>2, mx=max(mx, (int)d[i].size()), cntt+=d[i].size()>3;
for (int i=0; i<n; i++) if (!vs[i]) dfs(i, i);
for (int i=0; i<n; i++) vs[i]=0;
for (int i=0; i<n; i++) if (!vs[i]) dfs2(i, i);
return res;
}
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