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 int long long
#define N 100005
#define fi first
#define se second
typedef pair<int, int> ii;
set<int> adj[N], radj[N], st[N];
int pr[N], siz[N], n, m, res = 0;
queue<ii> q;
int find(int u){
if (u == pr[u]) return u;
return pr[u] = find(pr[u]);
}
void bl(int a, int b){
adj[a].insert(b);
radj[b].insert(a);
if (adj[b].count(a)){
q.push({a, b});
}
}
int getsiz(int a){
return st[a].size() + adj[a].size() + radj[a].size();
}
void unin(int a, int b){
if (a == b) return;
res += siz[a] * st[b].size() + siz[b] * st[a].size();
if (getsiz(a) < getsiz(b)) swap(a, b);
pr[b] = a;
siz[a] += siz[b];
for (auto x : st[b]){
if (st[a].count(x)) res -= siz[a];
else st[a].insert(x);
}
adj[a].erase(b);
radj[a].erase(b);
adj[b].erase(a);
radj[b].erase(a);
for (auto x : adj[b]){
radj[x].erase(b);
bl(a, x);
}
for (auto x : radj[b]){
adj[x].erase(b);
bl(x, a);
}
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cin >> n >> m;
for (int i = 1; i <= n; i++){
siz[i] = 1;
pr[i] = i;
st[i].insert(i);
}
while (m--){
int a, b;
cin >> a >> b;
b = find(b);
if (find(a) != b && !st[b].count(a)){
st[b].insert(a);
res += siz[b];
a = find(a);
bl(a, b);
while (!q.empty()){
a = q.front().fi;
b = q.front().se;
q.pop();
unin(find(a), find(b));
}
}
cout << res << "\n";
}
return 0;
}
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