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 MAXN = 1e6+20;
int deg[MAXN], ha[MAXN], hb[MAXN],N;
int cur,num,cycnum,cycl;
vector<int> adj[MAXN];
struct dsu{
int d[MAXN],sz[MAXN];
void init(int N){
for(int i = 0;i<N;++i){
d[i] = i;
sz[i] = 1;
}
}
int finden(int x){
return (x == d[x] ? x : d[x] = finden(d[x]));
}
int s(int x) {return sz[finden(x)];}
bool unite(int x, int y){
x = finden(x); y = finden(y);
if(x == y) return false;
d[x] = y; sz[y] += sz[x];
return true;
}
}DSU;
struct fall{
dsu D; int u; int deg[MAXN]; bool ok;
void init(int v){
u = v; ok = true;
fill(deg,deg+N,0); D.init(N);
for(int i = 0;i<cur;++i){
if(ha[i] == u || hb[i] == u) continue;
deg[ha[i]]++; deg[hb[i]]++;
if(deg[ha[i]] >= 3 || deg[hb[i]] >= 3) ok = false;
if(!D.unite(ha[i],hb[i])) ok = false;
}
}
void link(){
int pos = cur-1;
if(ha[pos] == u || hb[pos] == u) return;
int a = ha[pos], b = hb[pos];
deg[a]++; deg[b]++;
if(deg[a] >= 3 || deg[b] >= 3) ok = false;
if(!D.unite(a,b)) ok = false;
}
bool check(){
return ok;
}
}falls[4];
void Init(int n){
N = n; DSU.init(N);
}
bool good = false;
void Link(int A, int B){
deg[A]++; deg[B]++; ha[cur] = A; hb[cur] = B; cur++;
adj[A].push_back(B); adj[B].push_back(A);
if(good){
for(int i = 0;i<num;++i) falls[i].link();
return;
}
int u = -1;
if(deg[A] >= 3) u = A;
if(deg[B] >= 3) u = B;
if(u == -1){
if(!DSU.unite(A,B)){
cycnum++;
cycl += DSU.s(A);
}
return;
}
good = true;
falls[num++].init(u);
for(auto v : adj[u]){
falls[num++].init(v);
}
}
int CountCritical(){
if(good){
int ans = 0;
for(int i = 0;i<num;++i){
if(falls[i].check()){
ans++;
}
}
return ans;
}
else{
if(cycnum == 2) return 0;
if(cycnum == 1) return cycl;
return N;
}
}
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