# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
1129750 | PieArmy | 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) | C++20 | 749 ms | 69368 KiB |
typedef long long ll;
ll pie(ll army){return (1ll<<army);}
#include <bits/stdc++.h>
#define fr first
#define sc second
#define pb push_back
#define endl '\n'
#define mid ((left+right)>>1)
const ll inf=2000000000000000005;
const int sonsuz=2000000005;
using namespace std;
ll fpow(ll x,ll y,ll m=0){if(y<0){cout<<"powError";return -1;}if(m)x%=m;ll res=1;while(y>0){if(y&1)res*=x;x*=x;if(m){x%=m;res%=m;}y>>=1;}return res;}
int n,m;
set<int>gel[100001],git[100001],gel2[100001],st[100001];
int par[100001];
ll siz[100001],ans=0;
queue<pair<int,int>>v;
int get(int x){
if(x==par[x])return x;
return par[x]=get(par[x]);
}
void add(int a,int b){
git[a].insert(b);
gel[b].insert(a);
if(git[b].find(a)!=git[b].end()){
v.push({a,b});
}
}
void unite(int x,int y){
x=get(x);y=get(y);
if(x==y)return;
if(siz[x]+gel[x].size()+git[x].size()+gel2[x].size()<siz[y]+gel[y].size()+git[y].size()+gel2[y].size())swap(x,y);
ans+=siz[x]*siz[y]*2ll+siz[x]*ll(gel2[y].size())+siz[y]*ll(gel2[x].size());
for(int a:gel2[y]){
if(get(a)==x){
ans-=siz[y]+siz[x];
}
else if(gel2[x].find(a)!=gel2[x].end()){
ans-=siz[y]+siz[x];
}
else gel2[x].insert(a);
}
for(int a:st[y]){
if(gel2[x].find(a)!=gel2[x].end()){
ans-=siz[y]+siz[x];
gel2[x].erase(a);
}
st[x].insert(a);
}
for(int a:gel[y]){
git[a].erase(y);
if(a==x)continue;
add(a,x);
}
for(int a:git[y]){
gel[a].erase(y);
if(a==x)continue;
add(x,a);
}
st[y].clear();
gel2[y].clear();
gel[y].clear();
git[y].clear();
par[y]=x;
siz[x]+=siz[y];
}
void code(){
cin>>n>>m;
for(int i=1;i<=n;i++){
siz[i]=1;
par[i]=i;
st[i].insert(i);
}
while(m--){
int a,b;cin>>a>>b;
b=get(b);
if(get(a)!=b&&gel2[b].find(a)==gel2[b].end()){
gel2[b].insert(a);
ans+=siz[b];
a=get(a);
add(a,b);
}
while(v.size()){
unite(v.front().fr,v.front().sc);
v.pop();
}
cout<<ans<<endl;
}
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);
bool usaco=0;if(usaco){freopen(".in","r",stdin);freopen(".out","w",stdout);}
int t=1;
if(!t)cin>>t;
while(t--){code();}
return 0;
}
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