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;
const int mx = 1e5 + 5;
int n, m, ti, bccID, tin[mx], low[mx]; long long ans, curN, sz[mx];
vector<int> adj[mx], bct[mx*2]; stack<int> stk;
void AP(int cur, int p = 0){
tin[cur] = ++ti; low[cur] = 1e9; stk.push(cur); curN++;
int c = 0;
for (int nxt : adj[cur]) if (nxt != p){
if (tin[nxt]) low[cur] = min(low[cur], tin[nxt]);
else{
AP(nxt, cur); c++;
low[cur] = min(low[cur], low[nxt]);
if (low[nxt] >= tin[cur]){
bccID++; bct[cur].push_back(bccID + n);
while (1){
int tp = stk.top(); stk.pop();
bct[bccID + n].push_back(tp);
if (tp == nxt) break;
}
}
}
}
}
void dfs(int cur){
sz[cur] = (cur <= n);
for (int nxt : bct[cur]){
dfs(nxt); sz[cur] += sz[nxt];
if (cur > n) ans -= bct[cur].size() * sz[nxt] * (sz[nxt] - 1);
}
if (cur > n) ans -= bct[cur].size() * (curN - sz[cur]) * (curN - sz[cur] - 1);
}
int main(){
cin >> n >> m;
for (int i = 1; i <= m; i++){
int a, b; cin >> a >> b;
adj[a].push_back(b); adj[b].push_back(a);
}
for (int i = 1; i <= n; i++) if (!tin[i]){
curN = 0; AP(i);
ans += curN * (curN - 1) * (curN - 2);
dfs(i);
}
cout<<ans<<"\n";
}
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