This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl;
#define debug2(x, y) debug(x) debug(y);
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))
template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }
vi g[100005];
ll tmp = 0, ans = 0;
void dfs(int cur, int prev, vi cnt, vi vis){
if(prev != -1){
cnt[1] += cnt[0];
cnt[0]++;
}
vis[cur] = 1;
int f = 0;
for(int u : g[cur]) if(!vis[u]) dfs(u, cur, cnt, vis), f = 1;
if(!f) tmp += cnt[1];
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
int n, m;
cin >> n >> m;
rep(i, m){
int a, b;
cin >> a >> b;
a--, b--;
g[a].pb(b);
g[b].pb(a);
}
vi v(n, 0);
rep(i, n){
//we fix s to be i
vi cnt(2, 0);
tmp = 0;
dfs(i, -1, cnt, v);
ans += tmp;
}
cout << ans << endl;
return 0;
}
/*
Things to look out for:
- Integer overflows
- Array bounds
- Special cases
Be careful!
*/
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