//A,Elebereth Gilthoniel mantae!
//For Temeria!
#include<iostream>
#include<algorithm>
#include<cmath>
#include<string>
#include<vector>
#include<set>
#include<cstdio>
#include<map>
#include<stack>
#include<queue>
#include<cstring> 
using namespace std;
unsigned long long sum[105];unsigned long long pa[105];unsigned long long cnt[105];
unsigned long long dep[105];unsigned long long opd[105];
vector<unsigned long long> v[105];
void ini()
{
	for(unsigned long long i=0;i<102;i++) sum[i]=pa[i]=dep[i]=0,opd[i]=0;;
}
void dfs(unsigned long long x)
{
	sum[x]=1;
	for(unsigned long long i=0;i<v[x].size();i++)
	{
		unsigned long long t=v[x][i];
		if(t==pa[x]) continue;
		dep[t]=dep[x]+1,pa[t]=x;dfs(t);sum[x]+=sum[t];
	}
}
int main()
{
	unsigned long long n;cin>>n;
	for(unsigned long long i=0;i<n-1;i++)
	{
		unsigned long long a,b;cin>>a>>b;
		v[a].push_back(b),v[b].push_back(a);
	}
	unsigned long long ro=1;
	ini();dfs(1);
	for(unsigned long long i=0;i<=n;i++)
	{
		if(dep[i]>dep[ro]) ro=i;
	}
	ini();dfs(ro);unsigned long long diam=0;
	for(unsigned long long i=1;i<=n;i++)
	{
		diam=max(diam,dep[i]);
	}diam++;
	cout<<(diam+1)/2<<" ";
	
	
	
	
	if(diam%2==0)
	{
	
		unsigned long long ans=1;
		
		vector<unsigned long long> er;unsigned long long op,opd=0;;vector<unsigned long long> sig;
		//	cout<<er[654654];
	//	if(n>3) cout<<er[465654];
		for(unsigned long long i=1;i<=n;i++) if(dep[i]==(diam-2)/2) er.push_back(i),sig.push_back(0);
		for(unsigned long long i=1;i<=n;i++)if(dep[i]==diam/2)er.push_back(i),sig.push_back(2);
		
		for(unsigned long long i=1;i<=n;i++) if(dep[i]>opd) opd=dep[i],op=i;
		ini();dfs(op);vector<unsigned long long> re;
		for(unsigned long long i=0;i<er.size();i++)
		{
			if(dep[er[i]]==((diam)/2-sig[i]/2))
			{
				re.push_back(er[i]);
			}
		}
		unsigned long long a=re[0],b=re[1];//cout<<a<<b;
		ini();pa[a]=b;
		dfs(a); 
		pa[b]=a;
		dfs(b);
		for(unsigned long long i=0;i<=n;i++) cnt[i]=0;
		for(unsigned long long i=1;i<=n;i++)
		{
			unsigned long long t=v[i].size();
			cnt[dep[i]]=max(cnt[dep[i]],t-1);
		}
	//	cnt[0]++;
		for(unsigned long long i=0;i<=n;i++)
		{
			if(cnt[i]==0) break;
			ans*=cnt[i];//cout<<cnt[i]<<" ";
		}
		ans*=2;
		cout<<ans;
	}
	
	
	
	else
	{
		unsigned long long ans=1;vector<unsigned long long> er;unsigned long long op,opd=0;;
		for(unsigned long long i=1;i<=n;i++) if(dep[i]==diam/2) er.push_back(i);
		for(unsigned long long i=1;i<=n;i++) if(dep[i]>opd) opd=dep[i],op=i;
		ini();dfs(op);vector<unsigned long long> re;
		for(unsigned long long i=0;i<er.size();i++)
		{
			if(dep[er[i]]==(diam)/2)
			{
				re.push_back(er[i]);
			}
		}
		unsigned long long a=re[0];
		ini();dfs(a);
		for(unsigned long long i=0;i<=n;i++) cnt[i]=0;
		for(unsigned long long i=1;i<=n;i++)
		{
			unsigned long long t=v[i].size();
			cnt[dep[i]]=max(cnt[dep[i]],t-1);
		}
		cnt[0]++;
		for(unsigned long long i=0;i<=n;i++)
		{
			if(cnt[i]==0) break;
			ans*=cnt[i];//cout<<cnt[i]<<" ";
		}
		
		
		
		for(unsigned long long ii=0;ii<v[a].size();ii++)
		{
			unsigned long long sum=2;
			unsigned long long b=v[a][ii];
			ini();pa[a]=b;
			dfs(a); 
			pa[b]=a;
			dfs(b);
			for(unsigned long long i=0;i<=n;i++) cnt[i]=0;
			for(unsigned long long i=1;i<=n;i++)
			{
				unsigned long long t=v[i].size();
		
				cnt[dep[i]]=max(cnt[dep[i]],t-1);
			}
			
			for(unsigned long long i=0;i<=n;i++)
			{
				if(cnt[i]==0) break;
				sum*=cnt[i];
			}
			ans=min(ans,sum);
		}
		cout<<ans;
	}
	return 0;
}

Measured memory_bytes: 384