This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/APIO18_duathlon > p520
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 1e5;
vector<int> adj[MAXN];
ll sz[MAXN]; ll sum_dist[MAXN];
bool vis[MAXN];
ll ans = 0;
void dfs(int v, int pai) {
vis[v] = true;
sz[v] = 1; sum_dist[v] = 1;
for (int viz : adj[v]) {
if (viz == pai) continue;
dfs(viz, v);
sz[v] += sz[viz];
sum_dist[v] += sum_dist[viz] + sz[viz];
}
ll less = 0;
for (int viz : adj[v]) {
if (viz == pai) continue;
ans += 2*(sum_dist[viz] - sz[viz]); // lca sendo ponta
ans += sum_dist[viz] * (sz[v] - sz[viz] - 1);
less += sz[viz] * (sz[v] - sz[viz] - 1);
}
ans -= less / 2;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
int n, m; cin >> n >> m;
for (int i=0; i<m; i++) {
int u, v; cin >> u >> v;
u--; v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int i=0; i<n; i++) {
if (vis[i]) continue;
dfs(i, -1);
}
cout << ans << '\n';
return 0;
}
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