#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
int n, m;
vector<int> graph[100001], bcc_graph[200001], stck;
int low[100001], tin[100001], timer = 1, bccs = 1, aps[100001];
ll ans;
void dfs(int node = 1, int parent = 0) {
low[node] = tin[node] = timer++;
stck.push_back(node);
for (int i : graph[node]) if (i != parent) {
if (tin[i]) low[node] = min(low[node], tin[i]);
else {
dfs(i, node);
low[node] = min(low[node], low[i]);
if (low[i] >= tin[node]) {
bcc_graph[node].push_back(n + bccs);
while (!bcc_graph[n + bccs].size() || bcc_graph[n + bccs].back() != i) {
bcc_graph[n + bccs].push_back(stck.back());
stck.pop_back();
}
bccs++;
}
}
}
}
void dfs2(int node = 1, int parent = 0) {
aps[node] = (node <= n);
for (int i : bcc_graph[node]) {
dfs2(i, node);
aps[node] += aps[i];
if (node > n) ans -= (bcc_graph[node].size() - (parent == 0)) * aps[i] * (aps[i] - 1);
}
if (node > n) ans -= bcc_graph[node].size() * (n - aps[node]) * (n - aps[node] - 1);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
while (m--) {
int u, v;
cin >> u >> v;
graph[u].push_back(v);
graph[v].push_back(u);
}
dfs();
// FOR(i, 1, n + bccs) {
// cout << i << ": ";
// for (int j : bcc_graph[i]) cout << j << ' ';
// cout << '\n';
// }
ans = n * (n - 1) * (n - 2);
dfs2();
cout << ans;
return 0;
}
