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;
#define endl '\n'
#define pb push_back
#define ll long long
const long long inf=1e18;
const int MOD=998244353;
const int N=1e6+5;
vector<int> adj[N];
int n;
bool vis[N];
struct info{
int one;
int two;
int three;
int mx;
};
info dfs(int node,int par){
vis[node]=1;
info rt; rt.one=0; rt.two=0; rt.three=0; rt.mx=adj[node].size();
if(adj[node].size()<=1)rt.one=1;
if(adj[node].size()==2)rt.two=1;
if(adj[node].size()==3)rt.three=1;
for(auto i:adj[node]){
if(vis[i])continue;
info s=dfs(i,node);
rt.one+=s.one;
rt.two+=s.two;
rt.three+=s.three;
rt.mx=max(rt.mx,s.mx);
}
return rt;
}
void dfs2(int node,int par){
vis[node]=1;
for(auto i:adj[node]){
if(!vis[i])dfs2(i,node);
}
}
void Init(int N){
n=N;
}
void Link(int A, int B){
adj[A].pb(B);
adj[B].pb(A);
}
int CountCritical(){
for(int i=1;i<=n;i++)vis[i]=0;
info am; am.one=0; am.two=0; am.three=0; am.mx=0;
for(int i=1;i<=n;i++){
if(!vis[i]){
info you=dfs(i,0);
if(you.mx==0)you.one++;
am.one+=you.one;
am.two+=you.two;
am.three+=you.three;
am.mx=max(am.mx,you.mx);
}
}
//cout<<am.mx<<" "<<am.one<<" "<<am.two<<" "<<am.three<<endl;
if(am.mx>3)return 0;
int ans=0;
for(int i=1;i<=n;i++){
// cout<<am.mx<<" "<<am.one<<" "<<am.two<<" "<<am.three<<endl;
info ar=am;
for(auto j:adj[i]){
if(adj[j].size()==3){
ar.three--;
ar.two++;
}
else if(adj[j].size()==2){
ar.two--;
ar.one++;
}
else{
ar.one++;
}
}
if(adj[i].size()==0)ar.one-=2;
if(adj[i].size()==1)ar.one--;
if(adj[i].size()==2)ar.two--;
if(adj[i].size()==3) ar.three--;
int comp=0;
for(int j=1;j<=n;j++)vis[j]=0;
vis[i]=1;
for(int j=1;j<=n;j++){
if(!vis[j]){
dfs2(j,0);
comp++;
}
}
// if(i==4)cout<<am.mx<<" "<<am.one<<" "<<am.two<<" "<<am.three<<' '<<comp<<endl;
bool flag=1;
if(ar.three>0)flag=0;
if(ar.one!=comp*2)flag=0;
if(flag)ans++;
}
return ans;
}
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