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;
typedef long long ll;
typedef long double ld;
const int N = 1e5 + 7;
vector <int> g[N];
int cnt[N];
bool used[N];
int sz[N];
int cmp[N];
int par[N];
int x = 0;
void dfs(int u, int p = -1) {
par[u] = p;
used[u] = 1;
cmp[u] = x;
++sz[x];
cnt[u] = 1;
for (auto v : g[u]) {
if (!used[v]) {
dfs(v, u);
cnt[u] += cnt[v];
}
}
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.setf(ios::fixed); cout.precision(20);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int n, m;
cin >> n >> m;
for (int i = 0; i < m; ++i) {
int u, v;
cin >> u >> v;
--u, --v;
g[u].push_back(v);
g[v].push_back(u);
}
for (int i = 0; i < n; ++i) {
if (!used[i]) {
++x;
dfs(i);
}
}
ll ans = 0;
for (int i = 0; i < n; ++i) {
vector <int> curs;
int have = 0;
for (auto j : g[i]) {
if (j == par[i]) continue;
curs.push_back(cnt[j]);
have += cnt[j];
}
curs.push_back(sz[cmp[i]] - have - 1);
have = sz[cmp[i]] - 1;
for (auto i : curs) {
ans += (ll)i * (have - i);
}
}
cout << ans << '\n';
}
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