이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "bits/stdc++.h"
using namespace std;
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T a, U ...b) {
cout << a << ' ', abc(b...);
}
template <typename T> void printv(T l, T r) {
while (l != r) cout << *l << " \n"[++l == r];
}
template <typename A, typename B> istream& operator >> (istream& o, pair<A, B> &a) {
return o >> a.first >> a.second;
}
template <typename A, typename B> ostream& operator << (ostream& o, pair<A, B> a) {
return o << '(' << a.first << ", " << a.second << ')';
}
template <typename T> ostream& operator << (ostream& o, vector<T> a) {
bool is = false;
for (T i : a) {o << (is ? ' ' : '{'), is = true, o << i;}
return o << '}';
}
#ifdef local
#define test(args...) abc("[" + string(#args) + "]", args)
#else
#define test(args...) void(0)
#endif
using ll = long long;
ll sz[100005], par[100005];
int findset(int i) {
return (par[i] == i? i : par[i] = findset(par[i]));
}
ll ans = 0;
set<ll> in[100005], out[100005];
queue<pair<ll, ll>> q;
void join(int a, int b) {
a = findset(a);
b = findset(b);
if (a == b) return;
if (sz[a] > sz[b]) swap(a, b);
ans -= (sz[a] * in[a].size() + sz[b] * in[b].size());
par[a] = b;
sz[b] += sz[a];
for (auto a : in[a]) {
in[b].insert(a);
out[findset(a)].insert(b);
if (findset(a) != b && out[b].find(findset(a)) != out[b].end()) {
q.push({a, b});
}
}
for (auto cur : out[a]) {
out[b].insert(cur);
if (findset(cur) != b && out[findset(cur)].find(b) != out[findset(cur)].end()) {
q.push({cur, b});
}
}
ans += sz[b] * in[b].size();
}
void add(int a, int b) {
b = findset(b);
if (in[b].find(a) != in[b].end() || findset(a) == b) return;
if (out[b].find(findset(a)) != out[b].end()) {
// join them
q.push({a, b});
while (!q.empty()) {
auto [c, d] = q.front();
q.pop();
join(c, d);
}
return;
}
in[b].insert(a);
out[findset(a)].insert(b);
ans += sz[b];
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("", "r", stdin);
// freopen("", "w", stdout);
int n, m; cin >> n >> m;
for (int i = 1; i <= n; i++) {
sz[i] = 1; par[i] = i;
in[i].insert(i);
out[i].insert(i);
}
for (int i = 0; i < m; i++) {
int a, b; cin >> a >> b;
add(a, b);
cout << ans << "\n";
}
}
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