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;
using ll = long long;
#define int ll
#define endl '\n'
#define pb push_back
using pi = array<int, 2>;
const int N = 1e5 + 5;
int par[N], cnt[N];
set<int> in[N], out[N];
int find(int u) {
if (par[par[u]] != par[u]) par[u] = find(par[u]);
return par[u];
}
void unite(int u, int v) {
u = find(u); v = find(v);
if (u == v) return;
if (cnt[u] < cnt[v]) swap(u, v);
in[u].erase(v);
in[v].erase(u);
out[u].erase(v);
out[v].erase(u);
for (int x : in[v]) {
assert(x == find(x));
in[u].insert(x);
out[x].erase(v);
out[x].insert(u);
}
for (int x : out[v]) {
assert(x == find(x));
out[u].insert(x);
in[x].erase(v);
in[x].insert(u);
}
cnt[u] += cnt[v];
par[v] = u;
in[v].clear();
out[v].clear();
cnt[v] = 0;
}
int get_cost(int u) {
int cost = 0;
cost += cnt[u] * (cnt[u] - 1); // between them
cost += in[u].size() * cnt[u]; // coming in
return cost;
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m;
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
par[i] = i;
cnt[i] = 1;
}
int ans = 0;
for (int i = 0; i < m; ++i) {
int u, v;
cin >> u >> v;
u = find(u); v = find(v);
if (u == v) {
cout << ans << endl;
continue;
}
ans -= get_cost(u) + get_cost(v);
out[u].insert(v);
in[v].insert(u);
if (in[u].count(v) && out[u].count(v)) unite(u, v);
u = find(u); v = find(v);
ans += get_cost(u);
if (u != v) ans += get_cost(v);
cout << ans << endl;
}
}
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