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<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<cassert>
#include<unordered_map>
#include <queue>
#include <cstdint>
#include<cstring>
#include<limits.h>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric>
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-lopps")
using namespace std;
const int mod=1e9+7,mxn=1e6+5,inf=1e9,minf=-1e9,lg=25;
int n;
vector<int>adj[mxn+10];
int found=-1;
struct dsu{
int pa[mxn+10],ans=1,deg[mxn+10],sz[mxn+10];
void init(){for(int i=0;i<n;i++)pa[i]=i,deg[i]=0,sz[i]=1;}
int find(int u){
return (pa[u]==u)?u:pa[u]=find(pa[u]);
}
bool merg(int a,int b){
int x=a,y=b;
a=find(a),b=find(b);
deg[x]++,deg[y]++;
if(deg[x]==3||deg[y]==3)ans=0;
if(a==b){
ans=0;
return 0;
}
pa[a]=b;
sz[b]+=sz[a];
return 1;
}
}t[5];
vector<pii>event;
vector<int>have;
int havecycle=-1;
void Init(int N_){
found=-1;
havecycle=-1;
n=N_;
t[0].init();
}
void make(int node,int pos){
t[pos].init();
for(auto i:event)if(i.f!=node&&i.s!=node)t[pos].merg(i.f,i.s);
}
void Link(int a,int b){
event.pb({a,b});
if(found!=-1){
t[0].merg(a,b);
for(int i=0;i<have.size();i++)if(a!=have[i]&&b!=have[i])t[i+1].merg(a,b);
}
else{
if(t[0].merg(a,b)==0){
if(havecycle==-1)havecycle=t[0].sz[b];
else havecycle=-2;
}
adj[a].pb(b);
adj[b].pb(a);
if(t[0].deg[a]==3)found=a;
else if(t[0].deg[b]==3)found=b;
if(found!=-1){
have.pb(found);
for(auto i:adj[found])have.pb(i);
for(int i=0;i<have.size();i++)make(have[i],i+1);
}
}
}
int CountCritical(){
if(found!=-1){
int sum=0;
for(int i=0;i<have.size();i++)sum+=t[i+1].ans;
return sum;
}
else if(havecycle!=-1)return havecycle;
else if(havecycle==-2)return 0;
return n;
}
/*
if we can find intersect from all these set:
1. in every cycle
2. have deg >=3
3. directly connected to deg 3
if there are no deg>3 then there can be atmost 4 candidates
because the node has to be directly connected to all deg 3 and every node deg<=3
if theres a node deg>3 we just have to check 1 node but the deg can be a lot
how to know if a node is in cycle?
*/
Compilation message (stderr)
rings.cpp:32:40: warning: bad option '-funroll-lopps' to pragma 'optimize' [-Wpragmas]
32 | #pragma GCC optimize ("03,unroll-lopps")
| ^
rings.cpp:40:13: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
40 | void init(){for(int i=0;i<n;i++)pa[i]=i,deg[i]=0,sz[i]=1;}
| ^
rings.cpp:41:17: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
41 | int find(int u){
| ^
rings.cpp:44:24: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
44 | bool merg(int a,int b){
| ^
rings.cpp:61:17: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
61 | void Init(int N_){
| ^
rings.cpp:67:27: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
67 | void make(int node,int pos){
| ^
rings.cpp:71:22: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
71 | void Link(int a,int b){
| ^
rings.cpp: In function 'void Link(int, int)':
rings.cpp:75:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
75 | for(int i=0;i<have.size();i++)if(a!=have[i]&&b!=have[i])t[i+1].merg(a,b);
| ~^~~~~~~~~~~~
rings.cpp:89:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
89 | for(int i=0;i<have.size();i++)make(have[i],i+1);
| ~^~~~~~~~~~~~
rings.cpp: At global scope:
rings.cpp:93:19: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
93 | int CountCritical(){
| ^
rings.cpp: In function 'int CountCritical()':
rings.cpp:96:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
96 | for(int i=0;i<have.size();i++)sum+=t[i+1].ans;
| ~^~~~~~~~~~~~
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