This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define fast ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0)
#include <bits/stdc++.h>
using namespace std;
#define sqr 340
#define mp make_pair
#define mid (l+r)/2
#define le node * 2
#define ri node * 2 + 1
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define ins insert
#define era erase
#define C continue
#define mem(dp,i) memset(dp,i,sizeof(dp))
#define mset multiset
#define all(x) x.begin(), x.end()
#define gc getchar_unlocked
typedef long long ll;
typedef short int si;
typedef long double ld;
typedef pair<int,int> pi;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pi> vpi;
typedef vector<pll> vpll;
typedef pair<double,ll>pdi;
const ll inf=1e18;
const ll mod=987654321;
const ld Pi=acos(-1);
ll n , m , ans , nodes , edges ;
vll v [100009] ;
ll dp [100009] , done [100009] ; ;
void calc ( int node ) {
if ( done [node] ) return ;
done [node] = 1 ;
nodes ++ , edges += v [node] .size () ;
for ( auto u : v [node] )
calc ( u ) ;
}
void solve ( int node , int p ) {
dp [node] = 1 ;
for ( auto u : v [node] ) {
if ( u == p ) C ;
solve ( u , node ) ;
dp [node] += dp [u] ;
}
ll sum = 0 , up = nodes - dp [node] ;
for ( auto u : v [node] ) {
if ( u == p ) C ;
ans += up * dp [u] * 2ll ;
ans += sum * dp [u] * 2ll ;
sum += dp [u] ;
}
}
int main () {
cin >> n >> m ;
for ( int i = 0 ; i < m ; i ++ ) {
int a , b ;
cin >> a >> b ;
a -- , b -- ;
v [a] .pb ( b ) ;
v [b] .pb ( a ) ;
}
for ( int i = 0 ; i < n ; i ++ ) {
if ( done [i] ) C ;
nodes = 0 , edges = 0 ;
calc ( i ) ;
if ( nodes * 2ll == edges ) {
if ( nodes >= 3ll ) {
ans += ( nodes ) * ( nodes - 1ll ) * ( nodes - 2ll ) ;
}
}
else
solve ( i , i ) ;
}
cout << ans << endl ;
}
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