This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// ¯\_(ツ)_/¯
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(),(x).end()
#define X first
#define Y second
#define sep ' '
#define endl '\n'
#define debug(x) cerr << #x << ": " << x << endl;
const ll MAXN = 1e6 + 10;
const ll INF = 8e18;
const ll MOD = 1e9 + 7; // 998244353; // 1e9 + 9;
vector<int> adj[MAXN];
bool vis[MAXN];
ll sub_g[MAXN], n, m, ans;
void dfs(int v, int p) {
vis[v] = true;
sub_g[v] = 1;
for (int u : adj[v]) {
if (u == p) continue;
dfs(u, v);
sub_g[v] += sub_g[u];
ans -= sub_g[u] * (sub_g[u] - 1);
}
ll t = n - sub_g[v];
ans -= t * (t - 1);
if (p == 0) ans += sub_g[v] * (sub_g[v] - 1) * (sub_g[v] - 2);
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int i = 1; i <= n; i++)
if (!vis[i])
dfs(i, 0);
cout << ans << endl;
return 0;
}
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