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;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
ll ttt;
const ll INF=1e18;
const ll MOD=1e9+7;
const ll N=3e5+7;
ll n,m,k;
vector<int>g[N];
bool used[N];
bool cu[N];
bool is_cycle(int v, int par){
if(used[v])return true;
used[v]=true;
for(int to:g[v]){
if(to!=par){
if(is_cycle(to, v))return true;
}
}
return false;
}
int length(int v){
cu[v]=true;
int cnt=1;
for(int to:g[v]){
if(!cu[to]){
cnt+=length(to);
}
}
return cnt;
}
int main() {
cin>>n>>m;
for(int i=0;i<m;i++){
int x,y;
cin>>x>>y;
g[x].push_back(y);
g[y].push_back(x);
}
ll ans=0;
for(int v=0;v<n;v++){
if(!used[v]){
ll cnt=length(v);
if(is_cycle(v, v)){
ans+=cnt*(cnt-1)*(cnt-2);
}
else{
ans+=cnt*(cnt-1)*(cnt-2)/3;
}
}
}
cout<<ans<<endl;
}
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