#include<bits/stdc++.h>
using namespace std;
namespace my_std{
	#define ll long long
	#define bl bool
	ll my_pow(ll a,ll b,ll mod){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res=(res*a)%mod;
			a=(a*a)%mod;
			b>>=1;
		}
		return res;
	}
	ll qpow(ll a,ll b){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res*=a;
			a*=a;
			b>>=1;
		}
		return res;
	}
	#define db double
	#define pf printf
	#define pc putchar
	#define fr(i,x,y) for(register ll i=(x);i<=(y);i++)
	#define pfr(i,x,y) for(register ll i=(x);i>=(y);i--)
	#define go(u) for(ll i=head[u];i;i=e[i].nxt)
	#define enter pc('\n')
	#define space pc(' ')
	#define fir first
	#define sec second
	#define MP make_pair
	#define il inline
	#define inf 8e18
	#define random(x) rand()*rand()%(x)
	#define inv(a,mod) my_pow((a),(mod-2),(mod))
	il ll read(){
		ll sum=0,f=1;
		char ch=0;
		while(!isdigit(ch)){
			if(ch=='-') f=-1;
			ch=getchar();
		}
		while(isdigit(ch)){
			sum=sum*10+(ch^48);
			ch=getchar();
		}
		return sum*f;
	}
	il void write(ll x){
		if(x<0){
			x=-x;
			pc('-');
		}
		if(x>9) write(x/10);
		pc(x%10+'0');
	}
	il void writeln(ll x){
		write(x);
		enter;
	}
	il void writesp(ll x){
		write(x);
		space;
	}
}
using namespace my_std;
ll n,head[100010],cnt=0,f[100010],siz[100010],ans=inf;
struct node{
	ll nxt,to;
}e[200020];
void add(ll u,ll v){
	e[++cnt].nxt=head[u];
	e[cnt].to=v;
	head[u]=cnt;
} 
void dfs1(ll fa,ll u){
	go(u){
		ll v=e[i].to;
		if(v==fa) continue;
		dfs1(u,v);
		f[u]+=f[v]+siz[v]+2*siz[u]*siz[v];
		siz[u]+=siz[v];
	}
	siz[u]++;
}
void dfs2(ll fa,ll u){
	ans=min(ans,f[u]);
	go(u){
		ll v=e[i].to;
		if(v==fa) continue;
		ll su=siz[u],sv=siz[v],fu=f[u],fv=f[v];
		siz[u]-=siz[v];
		f[u]-=f[v]+siz[v]+2*(siz[u]-1)*siz[v];
		f[v]+=f[u]+siz[u]+2*(siz[v]-1)*siz[u];
		siz[v]+=siz[u];
		dfs2(u,v);
		siz[u]=su;
		siz[v]=sv;
		f[u]=fu;
		f[v]=fv;
	}
}
int main(){
	n=read();
	fr(i,2,n){
		ll u=read(),v=read();
		add(u,v);
		add(v,u);
	}
	dfs1(0,1);
	dfs2(0,1);
	write(ans);
}