using System;
using System.Linq;
using System.Collections.Generic;
using System.Diagnostics;
using Debug = System.Diagnostics.Trace;
using SB = System.Text.StringBuilder;
using System.Numerics;
using static System.Math;
namespace Program {
	public class Solver {
		Random rnd = new Random();
		public void Solve() {
			var n = ri;
			var g = Enumerate(n, x => new int[n]);
			for (int i = 0; i < n; i++)
				for (int j = i + 1; j < n; j++) g[i][j] = g[j][i] = 100000;
			var G = Enumerate(n, x => new List<int>());
			var pair = new List<int[]>();
			for (int i = 0; i < n; i++) pair.Add(new int[] { i, i });

			for (int i = 0; i < n - 1; i++) {
				var u = ri - 1;
				var v = ri - 1;
				g[u][v] = g[v][u] = 1;
				G[u].Add(v);
				G[v].Add(u);
				pair.Add(new int[] { u, v });
			}
			for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++)
						g[i][j] = Min(g[i][j], g[i][k] + g[k][j]);

			var val = Enumerate(n + 5, x => INF);

			foreach (var p in pair) {
				var c = p[0];
				var d = p[1];
				var pos = Enumerate(n + 5, x => new List<int>());
				for (int i = 0; i < n; i++) {
					var max = Max(g[c][i], g[d][i]);
					pos[max].Add(i);
				}
				var used = new bool[n + 5];
				var sz = new long[n + 5];
				int dep = 0;
				for (int i = n + 3; i >= 0; i--) {
					if (pos[i].Count == 0) continue;
					sz[i] = 1;
					dep = Max(dep, i);
					foreach (var v in pos[i]) {
						var cnt = 0;
						foreach (var t in G[v])
							if (used[t]) cnt++;
						sz[i] = Max(sz[i], cnt * sz[i + 1]);
					}
					foreach (var v in pos[i]) used[v] = true;
				}
				if (c == d) val[dep + 1] = Min(val[dep + 1], sz[0]);
				else val[dep] = Min(val[dep], 2 * sz[1]);
			}
			for (int i = 0; i <= n; i++)
				if (val[i] != INF) { Console.WriteLine($"{i} {val[i]}"); return; }

		}
		const long INF = 1L << 60;
		static int[] dx = { -1, 0, 1, 0 };
		static int[] dy = { 0, 1, 0, -1 };
		int ri { get { return sc.Integer(); } }
		long rl { get { return sc.Long(); } }
		double rd { get { return sc.Double(); } }
		string rs { get { return sc.Scan(); } }
		public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());

		static T[] Enumerate<T>(int n, Func<int, T> f) {
			var a = new T[n];
			for (int i = 0; i < a.Length; ++i) a[i] = f(i);
			return a;
		}
		static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
	}
}

#region main
static class Ex {
	static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
	static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
		return string.Join(st, ie);
	}
	static public void Main() {
		Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = true });
		var solver = new Program.Solver();
		/* 
		var t = new System.Threading.Thread(solver.Solve, 50000000);
		t.Start();
		t.Join();
		*/
		solver.Solve();
		Console.Out.Flush();
	}
}
#endregion
#region Ex
namespace Program.IO {
	using System.IO;
	using System.Text;
	using System.Globalization;

	public class Printer : StreamWriter {
		public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
		public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
	}

	public class StreamScanner {
		public StreamScanner(Stream stream) { str = stream; }

		public readonly Stream str;
		private readonly byte[] buf = new byte[1024];
		private int len, ptr;
		public bool isEof = false;
		public bool IsEndOfStream { get { return isEof; } }

		private byte read() {
			if (isEof) return 0;
			if (ptr >= len) {
				ptr = 0;
				if ((len = str.Read(buf, 0, 1024)) <= 0) {
					isEof = true;
					return 0;
				}
			}
			return buf[ptr++];
		}

		public char Char() {
			byte b = 0;
			do b = read(); while ((b < 33 || 126 < b) && !isEof);
			return (char)b;
		}
		public string Scan() {
			var sb = new StringBuilder();
			for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
			return sb.ToString();
		}
		public string ScanLine() {
			var sb = new StringBuilder();
			for (var b = Char(); b != '\n' && b != 0; b = (char)read()) if (b != '\r') sb.Append(b);
			return sb.ToString();
		}
		public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
		public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
		public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
	}
}

#endregion


Measured memory_bytes: 13520