이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <vector>
#include <iostream>
#include <algorithm>
#include <functional>
using namespace std;
int main() {
int N, M;
cin >> N >> M;
vector<vector<int> > G(N);
for(int i = 0; i < M; ++i) {
int a, b;
cin >> a >> b; --a, --b;
G[a].push_back(b);
G[b].push_back(a);
}
vector<int> C(N), P(N), R(N);
vector<bool> vis(N), cycle(N);
int total = 0, comp = 0;
function<void(int, int, int)> dfs = [&](int pos, int pre, int root) {
P[pos] = pre;
C[pos] = 1;
R[pos] = root;
vis[pos] = true;
++comp;
for(int i : G[pos]) {
++total;
if(vis[i]) continue;
dfs(i, pos, root);
C[pos] += C[i];
}
};
for(int i = 0; i < N; ++i) {
if(C[i] == 0) {
total = 0, comp = 0;
dfs(i, -1, i);
if(comp * 2 == total) {
cycle[i] = true;
}
}
}
long long ans = 0;
for(int i = 0; i < N; ++i) {
int rem = C[R[i]] - 1;
long long sum = 1LL * rem * (rem - 1);
if(!cycle[R[i]]) {
for(int j : G[i]) {
if(j == P[i]) continue;
rem -= C[j];
sum -= 1LL * C[j] * (C[j] - 1);
}
sum -= 1LL * rem * (rem - 1);
}
ans += sum;
}
cout << ans << endl;
return 0;
}
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