using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
static class Program{
	const int mod=(int)1e9+7;
	static List<int>[] li;
	static bool[] b;
	static int[] f,h;
	static void Main(){
		Sc sc=new Sc();
		var s=sc.Ia;
		int n=s[0],m=n-1;
		li=new List<int>[n+1];
		b=new bool[n+1];
		f=new int[n+1];
		for(int i=1;i<=n;i++){li[i]=new List<int>();}
		for(int i=0;i<m;i++){
			var e=sc.Ia;
			li[e[0]].Add(e[1]);
			li[e[1]].Add(e[0]);
		}
		h=new int[n+1];
		var c1=Fc1(1,1);
		h=new int[n+1];
		var c2=Fc2(c1,1);
		long ans=0;
		if(h[c2.Item1]%2==0){
			f=new int[(h[c2.Item1]>>1)+1];
			h=new int[n+1];
			h[c2.Item3]=1;
			Fu(c2.Item2,1);
			Fu(c2.Item3,1);
			ans=2;
			for(int i = 1;f[i]!=0;i++) {ans*=f[i];}
			Console.WriteLine("{0} {1}",f.Length-1,ans);
		}
		else{
			f=new int[(h[c2.Item1]>>1)+2];
			int p=f.Length-1;
			h=new int[n+1];
			Fu(c2.Item2,1);
			ans=li[c2.Item2].Count;
			for(int i = 2;f[i]!=0;i++) {ans*=f[i];}
			for(int i = 0;i<li[c2.Item2].Count;i++) {
				f=new int[p+1];
				h=new int[n+1];
				h[c2.Item2]=1;
				Fu(li[c2.Item2][i],1);
				Fu(c2.Item2,1);
				long z=2;
				for(int j = 1;f[j]!=0;j++) {z*=f[j];}
				ans=Min(ans,z);
			}
			Console.WriteLine("{0} {1}",p,ans);
		}
	}
	static void Fu(int a,int g){
		h[a]=g;
		f[g]=Max(f[g],li[a].Count-1);
		for(int i=0;i<li[a].Count;i++){
			if(h[li[a][i]]==0){Fu(li[a][i],g+1);}
		}
	}
	static int Fc1(int a,int g){
		h[a]=g;
		int c=a;
		for(int i=0;i<li[a].Count;i++){
			if(h[li[a][i]]==0){
				var d=Fc1(li[a][i],g+1);
				if(h[c]<h[d]){c=d;}
			}
		}
		return c;
	}
	static Tuple<int,int,int> Fc2(int a,int g){
		h[a]=g;
		int c=a,e=-1,f=-1;
		for(int i=0;i<li[a].Count;i++){
			if(h[li[a][i]]==0){
				var d=Fc2(li[a][i],g+1);
				if(h[c]<h[d.Item1]){c=d.Item1;e=d.Item2;f=d.Item3;}
			}
		}
		if((h[c]&1)==0){
			if((h[c])>>1==g){e=a;}
			else if(((h[c])>>1)+1==g){f=a;}
		}
		else if((h[c]+1)>>1==g){e=a;}
		return Tuple.Create(c,e,f);
	}
}
public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),int.Parse);}
	public int[] Ia3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),long.Parse);}
	public long[] La3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),long.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
}

Measured memory_bytes: 13396