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 nax = 1e5 + 2;
vector<int>g[nax];
int n, m;
bool vis[nax];
int cr, sm;
void dfs(int v) {
vis[v] = true;
sm += g[v].size();
++cr;
for(int u : g[v]) if(!vis[u]) {
dfs(u);
}
}
long long C(int n, int r) {
long long ret = 1;
for(int i=n-r+1; i<=n; ++i) {
ret *= i;
}
for(int i=1; i<=r; ++i) {
ret /= i;
}
return ret;
}
void PlayGround() {
cin>>n>>m;
for(int i=0; i<m; ++i) {
int u, v;
cin>>u>>v;
g[u].push_back(v);
g[v].push_back(u);
}
long long ans = 0;
for(int i=1; i<=n; ++i) if(!vis[i]) {
cr = sm = 0;
dfs(i);
if(sm==cr * 2) {
if(cr>=3) ans += C(cr, 3) * 6;
} else {
long long cur = 0;
for(int i=1; i<=cr-2; ++i) {
cur += C(cr-i, 2);
}
cur *= 2;
ans += cur;
}
}
cout<<ans<<'\n';
// cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
PlayGround();
return 0;
}
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