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<iostream>
#include<algorithm>
#include<vector>
#include<set>
using namespace std;
typedef long long ll;
typedef pair<ll,ll> P;
#define rep(i,n) for(int i=0;i<n;i++)
#define chmin(a,b) a=min(a,b)
#define chmax(a,b) a=max(a,b)
#define N 100010
ll n,m;
vector<ll> g[N];
ll vcnt,ecnt;
bool vis[N];
void dfs(ll x){
if(vis[x])return;
vis[x]=1; vcnt++;
for(auto y:g[x]){
ecnt++;
dfs(y);
}
}
int main(){
ll n,m; cin>>n>>m;
rep(i,m){
ll a,b; cin>>a>>b;
a--,b--;
g[a].push_back(b);
g[b].push_back(a);
}
ll ans=0;
rep(i,n)vis[i]=0;
rep(i,n){
if(vis[i]==0){
vcnt=ecnt=0;
dfs(i);
ecnt/=2;
if(ecnt==vcnt-1)ans+=vcnt*(vcnt-1)*(vcnt-2)/3;
else ans+=vcnt*(vcnt-1)*(vcnt-2);
}
}
cout<<ans<<endl;
}
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