#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000005
#define Inf64 1000000000000000001LL
vector<vector<int>> G;
template <class Ss, Ss (*op0)(Ss, Ss), Ss (*e)(), class Sv, Ss (*op1)(Sv, Ss), class Se, Ss (*op2)(Se, Ss)>
struct rerooting{
	
	int n;
	vector<vector<int>> to;
	vector<vector<Se>> edge;
	
	vector<Ss> subtree,answer;
	
	vector<Sv> vertex;
	
	rerooting(int _n){
		n = _n;
		to.resize(n);
		edge.resize(n);
		subtree.resize(n,e());
		answer.resize(n,e());
		vertex.resize(n);
	}
	
	rerooting(vector<Sv> v){
		n = v.size();
		to.resize(n);
		edge.resize(n);
		subtree.resize(n,e());
		answer.resize(n,e());
		vertex = v;
	}
	
	void add_directed_edge(int u,int v,Se x){
		to[u].push_back(v);
		edge[u].push_back(x);
	}
	
	void add_edge(int u,int v,Se x){
		add_directed_edge(u,v,x);
		add_directed_edge(v,u,x);
	}
	
	void solve(){
		dfs(0,-1);
		//cout<<'a'<<endl;
		redfs(0,-1,e());
	}
	
	void dfs(int cur,int par){
		Ss temp = e();
		for(int i=0;i<to[cur].size();i++){
			int nxt = to[cur][i];
			if(nxt==par)continue;
			dfs(nxt,cur);
			temp = op0(temp, op2(edge[cur][i], subtree[nxt]));
		}
		subtree[cur] = op1(vertex[cur], temp);
	}
	
	void redfs(int cur, int par, Ss ps){
		vector<Ss> P(to[cur].size()+1,e());
		rep(i,to[cur].size()){
			int nxt = to[cur][i];
			if(nxt!=par)P[i+1] = op2(edge[cur][i], subtree[nxt]);
			else P[i+1] = op2(edge[cur][i], ps);
		}
		vector<Ss> S(P.rbegin(),P.rend()-1);
		S.insert(S.begin(),e());
		rep(i,to[cur].size()){
			G[cur].push_back(P[i+1]);
			P[i+1] = op0(P[i], P[i+1]);
			S[i+1] = op0(S[i+1], S[i]);
		}
		answer[cur] = op1(vertex[cur], P.back());

		for(int i=0;i<to[cur].size();i++){
			int nxt = to[cur][i];
			if(nxt!=par){
				redfs(nxt,cur,op1(vertex[cur], op0(P[i],S[to[cur].size()-1-i])));
			}
		}
	}
	
};



int op0(int a,int b){
	return max(a,b);
}
int e(){
	return 0;
}

int op1(long long a,int b){
	return b;
}

int op2(long long a,int b){
	return b+1;
}
int main(){
	int n;
	cin>>n;
	rerooting<int, op0, e, long long, op1,long long, op2> R(n);
	rep(i,n-1){
		int a,b;
		cin>>a>>b;
		a--,b--;
		R.add_edge(a,b,1);
	}
	G.resize(n);
	R.solve();
	int ans = 0;
	rep(i,n){
		sort(G[i].rbegin(),G[i].rend());
		rep(j,G[i].size()){
			ans = max(ans,1 + G[i][j] * (j+1));
		//	cout<<G[i][j]<<' ';
		}
		//cout<<endl;
	}
	cout<<ans<<endl;
	return 0;
}