#include <bits/stdc++.h>
using namespace std;
#define int long long int
const int MAXN = 100'001, MAXM = 200'001;
int n, m;
vector<int> adj[MAXN];
int sz[MAXN], tin[MAXN], low[MAXN], par[MAXN];
bool vis[MAXN];
int ways = 0;
void dfs(int u, int p) {
sz[u] = 1;
par[u] = p;
for (int v : adj[u]) {
if (v == p) continue;
dfs(v, u);
sz[u] += sz[v];
}
}
void dfs2(int u, int p) {
int contrib = 0;
for (int v : adj[u]) {
if (v == p) {
// contrib += sz[u] * (n - sz[v]);
ways -= (n - sz[u]) * (n - sz[u] - 1);
continue;
}
dfs2(v, u);
// contrib += sz[v] * (n - sz[v] - 1);
ways -= sz[v] * (sz[v] - 1);
}
// ways += contrib;
// cout << u << " contributes " << contrib << "\n";
}
signed main() {
cin >> n >> m;
for (int i = 0; i < m; i++) {
int u, v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
if (n <= 2) {
cout << 0;
return 0;
}
ways = n * (n - 1) * (n - 2);
dfs(1, 1);
dfs2(1, 1);
cout << ways;
return 0;
}
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