This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
4 4
1 2
2 3
3 4
4 2
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
//order_of_key #of elements less than x
// find_by_order kth element
typedef long long int ll;
#define ld long double
#define pii pair<int,int>
typedef tree<pii, null_type, less<pii>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
const ll maxn=1e5+10;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
int MOD=2;
const int INF=0x3f3f3f3f;
const ld PI=acos(-1);
const ld eps=1e-9;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET_POS(c,x) (lower_bound(c.begin(),c.end(),x)-c.begin())
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
out<<P.f<<' '<<P.s;
return out;
}
template<typename T>
ostream& operator<<(ostream& out,vector<T> V){
REP(i,sz(V)) out<<V[i]<<((i!=sz(V)-1)?" ":"");
return out;
}
int mult(ll a,ll b){
if(a<0) a+=MOD;
return (a*b)%MOD;
}
ll mypow(ll a,ll b){
if(b<=0) return 1;
ll res=1LL;
while(b){
if(b&1) res=mult(res,a);
a=mult(a,a);
b>>=1;
}
return res;
}
int low[maxn],dep[maxn];
int cur=0;
vector<int> stk;
int cnt;
bool vis[maxn];
vector<int> v[maxn];
vector<int> g[2*maxn];
int val[2*maxn],sz[2*maxn];
int n;
int num=0;
void dfs(int u){
low[u]=dep[u]=cur++;
vis[u]=1;
val[u]=-1;
stk.pb(u);
++num;
for(int x:v[u]){
if(!vis[x]){
dfs(x);
MNTO(low[u],low[x]);
if(low[x]==dep[u]){
while(sz(stk)){
int a=stk.back();
g[a].pb(cnt);
g[cnt].pb(a);
stk.pop_back();
if(a==x) break;
}
g[u].pb(cnt);
g[cnt].pb(u);
val[cnt]=sz(g[cnt]);
++cnt;
}
}
else{
MNTO(low[u],dep[x]);
}
}
}
ll ans=0;
void dfs2(int u,int p){
sz[u]=(u<n);
for(int x:g[u]){
if(x==p) continue;
dfs2(x,u);
ans+=2LL*val[u]*sz[u]*sz[x];
sz[u]+=sz[x];
}
ans+=2LL*val[u]*sz[u]*(num-sz[u]);
}
int32_t main(){
ios::sync_with_stdio(false),cin.tie(0);
int m;
cin>>n>>m;
cnt=n;
REP(i,m){
int a,b;
cin>>a>>b;
--a,--b;
v[a].pb(b),v[b].pb(a);
}
REP(i,n){
if(!vis[i]){
num=0;
dfs(i);
dfs2(i,-1);
}
}
cout<<ans;
}
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