This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int main(){
int n, m;
cin >> n >> m;
vector<vector<int>> E(n);
for (int i = 0; i < m; i++){
int u, v;
cin >> u >> v;
u--;
v--;
E[u].push_back(v);
E[v].push_back(u);
}
vector<int> p(n, -1);
vector<vector<int>> c(n);
vector<int> r(n);
vector<int> bfs;
for (int i = 0; i < n; i++){
if (p[i] == -1){
queue<int> Q;
Q.push(i);
while (!Q.empty()){
int v = Q.front();
Q.pop();
bfs.push_back(v);
r[v] = i;
for (int w : E[v]){
if (w != p[v]){
p[w] = v;
c[v].push_back(w);
Q.push(w);
}
}
}
}
}
reverse(bfs.begin(), bfs.end());
vector<int> dp(n, 1);
for (int v : bfs){
for (int w : c[v]){
dp[v] += dp[w];
}
}
long long ans = 0;
for (int v = 0; v < n; v++){
ans += (long long) (dp[r[v]] - 1) * (dp[r[v]] - 2);
for (int w : c[v]){
ans -= (long long) dp[w] * (dp[w] - 1);
}
ans -= (long long) (n - dp[v]) * (n - dp[v] - 1);
}
cout << ans << endl;
}
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