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;
using ll = long long;
using pii = pair<int, int>;
#define ff first
#define ss second
int n, N, M, dfn[100005], dfnn, low[100005], cpnn, sz[100005], Gn;
vector<int> edge[100005], bdge[200005];
ll ans;
bool vis[100005];
void dfs(int x, int p) {
dfn[x] = low[x] = ++dfnn;
N++;
for (auto i : edge[x]) {
if (i == p) continue;
if (dfn[i]) {
if (dfn[i] < dfn[x]) low[x] = min(low[x], dfn[i]);
continue;
}
dfs(i, x);
low[x] = min(low[x], low[i]);
}
}
void bcc(int x, int c) {
vis[x] = 1;
if (c) {
bdge[c].push_back(x);
bdge[x].push_back(c);
}
for (auto i : edge[x]) {
if (vis[i]) continue;
if (low[i] >= dfn[x]) {
++cpnn;
bdge[x].push_back(cpnn);
bdge[cpnn].push_back(x);
bcc(i, cpnn);
}
else bcc(i, c);
}
}
void calc(int x, int p) {
sz[x] = x <= n;
for (auto i : bdge[x]) {
if (i == p) continue;
calc(i, x);
sz[x] += sz[i];
}
if (x > n) for (auto i : bdge[x]) {
if (i == p) ans -= 1ll * (bdge[x].size() - 1) * (N - sz[x]) * (N - sz[x] - 1);
else ans -= 1ll * (bdge[x].size() - 1) * sz[i] * (sz[i] - 1);
}
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
cin >> n >> M;
for (int i = 0; i < M; ++i) {
int x, y; cin >> x >> y;
edge[x].push_back(y);
edge[y].push_back(x);
}
cpnn = n;
for (int i = 1; i <= n; ++i) {
if (dfn[i]) continue;
N = 0;
dfs(i, 0);
ans += 1ll * N * (N - 1) * (N - 2);
bcc(i, 0);
calc(i, 0);
}
cout << ans;
return 0;
}
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