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;
#define ll long long
const int N=1e5+10;
vector<int> ma[N];
bool vis[N];
ll ans=0,sz[N],dp[N],dp_[N];
void dfs(int x,int p=-1)
{
sz[x]=1;
vis[x]=1;
for(auto y:ma[x])
{
if(y!=p)
{
dfs(y,x);
sz[x]+=sz[y];
dp[x]-=(sz[y]*sz[y]);
}
}
dp[x]+=((sz[x]-1)*(sz[x]-1));
}
void ChangeRoot(int x,int y)
{
//
dp[x]+=(sz[y]*sz[y]);
dp[x]-=((sz[x]-1)*(sz[x]-1));
dp[y]-=((sz[y]-1)*(sz[y]-1));
sz[x]-=sz[y];
sz[y]+=sz[x];
dp[x]+=((sz[x]-1)*(sz[x]-1));
dp[y]+=((sz[y]-1)*(sz[y]-1));
dp[y]-=(sz[x]*sz[x]);
}
void dfs_(int x,int p=-1)
{
vis[x]=1;
ans+=dp[x];
for(auto y:ma[x])
{
if(y!=p)
{
ChangeRoot(x,y);
dfs_(y,x);
ChangeRoot(y,x);
}
}
}
void solve()
{
int n,m;
cin>>n>>m;
for(int j=0;j<m;j++)
{
int x,y;
cin>>x>>y;
ma[x].push_back(y);
ma[y].push_back(x);
}
for(int i=1;i<=n;i++)
{
if(!vis[i])
{
dfs(i);
}
}
for(int i=1;i<=n;i++)
vis[i]=0;
for(int i=1;i<=n;i++)
{
if(!vis[i])
{
dfs_(i);
}
}
cout<<ans<<endl;
}
int main()
{
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
solve();
}
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