#include <bits/stdc++.h>
#define int long long
using namespace std;
int n, m, i, j, x, y, ans, sz[200001], rt[200001];
bool u[200001];
vector<int> g[200001], v;
void dfs(int x, int r) {
sz[x] = 1;
u[x] = 1;
rt[x] = r;
for (auto y : g[x]) {
if (u[y]) continue;
dfs(y, r);
sz[x] += sz[y];
}
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
cin >> n >> m;
while (m--) {
cin >> x >> y;
g[x].push_back(y);
g[y].push_back(x);
}
v.push_back(1);
dfs(1, 1);
for (i = 1; i <= n; i++) {
if (!u[i]) {
v.push_back(i);
dfs(i, i);
}
}
for (int i : v) {
ans -= (sz[i]) * (sz[i] - 1); // + (x, x)
}
for (i = 1; i <= n; i++) {
//cout << i << " " << rt[i] << " " << sz[i] << " " << sz[rt[i]] << " " << sz[rt[i]] - sz[i] << "\n";
ans += 2 * (sz[i] - 1) * (sz[rt[i]] - sz[i]);
ans += 2 * (sz[rt[i]] - sz[i]); // - (x, x)
}
cout << ans;
}
