using System;
using System.Linq;
using System.Collections.Generic;

namespace Contest
{
    class Program
    {
        static void Main(string[] args)
        {
            ABC130.F();
        }
        class ABC130
        {
            public static void A()
            {
                Console.WriteLine(Read.Int() < Read.Int() ? 0 : 10);
            }
            public static void B()
            {
                var N = Read.Int();
                var X = Read.Int();
                var L = Read.LongN();
                var D = Util.ASum(L);
                Console.WriteLine(D.Count(x => x <= X));
            }
            public static void C()
            {
                var W = Read.Long();
                var H = Read.Long();
                var x = Read.Long();
                var y = Read.Long();
                bool isCenter = W == x * 2 && H == y * 2;
                Console.WriteLine("{0} {1}", 1.0 * H * W / 2, isCenter ? 1 : 0);
            }
            public static void D()
            {
                var N = Read.Int();
                var K = Read.Long();
                var A = Read.LongN();
                long count = 0;
                int right = 0;
                long total = 0;
                for(int left = 0; left < N; ++left)
                {
                    while (right < N && total + A[right] < K)
                    {
                        total += A[right];
                        right++;
                    }
                    count += right - left;
                    if (left == right)
                    {
                        right++;
                    }
                    else
                    {
                        total -= A[left];
                    }
                }
                Console.WriteLine((long)N * (N + 1) / 2 - count);
            }
            public static void E()
            {
                var N = Read.Int();
                var M = Read.Int();
                var S = Read.IntN();
                var T = Read.IntN();
                var dp1 = new long[N + 1, M + 1];
                var dp2 = new long[N + 1, M + 1];
                for (int i = 0; i < N; ++i)
                {
                    for (int j = 0; j < M; ++j)
                    {
                        dp1[i + 1, j + 1] = S[i] == T[j] ? dp2[i, j] + 1 : 0;
                        dp2[i + 1, j + 1] = (dp2[i + 1, j] + dp2[i, j + 1] - dp2[i, j] + dp1[i + 1, j + 1] + Util.P) % Util.P;
                    }
                }
                Console.WriteLine(dp2[N, M] + 1);
            }
            public static void F()
            {
                var N = Read.Int();
                double maxX_UD = Double.MinValue, minX_UD = Double.MaxValue, maxX_L = Double.MinValue, minX_L = Double.MaxValue, maxX_R = Double.MinValue, minX_R = Double.MaxValue;
                double maxY_LR = Double.MinValue, minY_LR = Double.MaxValue, maxY_D = Double.MinValue, minY_D = Double.MaxValue, maxY_U = Double.MinValue, minY_U = Double.MaxValue;
                for (int i = 0; i < N; ++i)
                {
                    var s = Read.StrN();
                    var x  =Convert.ToDouble(s[0]);
                    var y = Convert.ToDouble(s[1]);
                    switch (s[2])
                    {
                        case "U":
                            maxX_UD = Math.Max(maxX_UD, x);
                            minX_UD = Math.Min(minX_UD, x);
                            maxY_U = Math.Max(maxY_U, y);
                            minY_U = Math.Min(minY_U, y);
                            break;
                        case "D":
                            maxX_UD = Math.Max(maxX_UD, x);
                            minX_UD = Math.Min(minX_UD, x);
                            maxY_D = Math.Max(maxY_D, y);
                            minY_D = Math.Min(minY_D, y);
                            break;
                        case "L":
                            maxX_L = Math.Max(maxX_L, x);
                            minX_L = Math.Min(minX_L, x);
                            maxY_LR = Math.Max(maxY_LR, y);
                            minY_LR = Math.Min(minY_LR, y);
                            break;
                        case "R":
                            maxX_R = Math.Max(maxX_R, x);
                            minX_R = Math.Min(minX_R, x);
                            maxY_LR = Math.Max(maxY_LR, y);
                            minY_LR = Math.Min(minY_LR, y);
                            break;
                    }
                }
                List<double> candidate = new List<double>();
                candidate.Add(0);
                candidate.Add(maxX_L - maxX_UD);
                candidate.Add(maxX_L - minX_UD);
                candidate.Add(minX_L - maxX_UD);
                candidate.Add(minX_L - minX_UD);
                candidate.Add(maxX_UD - maxX_R);
                candidate.Add(minX_UD - maxX_R);
                candidate.Add(maxX_UD - minX_R);
                candidate.Add(minX_UD - minX_R);
                candidate.Add((maxX_L - maxX_R) / 2);
                candidate.Add((minX_L - minX_R) / 2);
                candidate.Add(maxY_D - maxY_LR);
                candidate.Add(maxY_D - minY_LR);
                candidate.Add(minY_D - maxY_LR);
                candidate.Add(minY_D - minY_LR);
                candidate.Add(maxY_LR - maxY_U);
                candidate.Add(minY_LR - maxY_U);
                candidate.Add(maxY_LR - minY_U);
                candidate.Add(minY_LR - minY_U);
                candidate.Add((maxY_D - maxY_U) / 2);
                candidate.Add((minY_D - minY_U) / 2);
                candidate = candidate.Distinct().Where(x => x >= 0 && x < 1e9).ToList();
                double min = Double.MaxValue;
                foreach(var t in candidate)
                {
                    double maxX = Math.Max(maxX_UD, Math.Max(maxX_L - t, maxX_R + t));
                    double minX = Math.Min(minX_UD, Math.Min(minX_L - t, minX_R + t));
                    double maxY = Math.Max(maxY_LR, Math.Max(maxY_D - t, maxY_U + t));
                    double minY = Math.Min(minY_LR, Math.Min(minY_D - t, minY_U + t));
                    double v = (maxX - minX) * (maxY - minY);
                    min = Math.Min(min, v);
                }
                Console.WriteLine(min);
            }
        }

        class Util
        {
            public static readonly long P = 1000000007;
            public static long[] ASum(long[] array)
            {
                var res = new long[array.Length + 1];
                for (int i = 0; i < array.Length; ++i)
                {
                    res[i + 1] = res[i] + array[i];
                }
                return res;
            }

        }

        static class Read
        {
            static Queue<string> queue = new Queue<string>();
            static void Enqueue() { var ss = Console.ReadLine().Split(' '); foreach (var s in ss) { queue.Enqueue(s); } }
            public static int Int() { if (queue.Count == 0) { Enqueue(); } return Convert.ToInt32(queue.Dequeue()); }
            public static long Long() { if (queue.Count == 0) { Enqueue(); } return Convert.ToInt64(queue.Dequeue()); }
            public static string Str() { if (queue.Count == 0) { Enqueue(); } return queue.Dequeue(); }
            public static int[] IntN() { return Console.ReadLine().Split(' ').Select(s => Convert.ToInt32(s)).ToArray(); }
            public static long[] LongN() { return Console.ReadLine().Split(' ').Select(s => Convert.ToInt64(s)).ToArray(); }
            public static string[] StrN() { return Console.ReadLine().Split(' '); }
            public static Tuple<int, int>[] TupleInt(int n) { List<Tuple<int, int>> list = new List<Tuple<int, int>>(); for (int i = 0; i < n; ++i) { var ab = Read.IntN(); list.Add(new Tuple<int, int>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<long, long>[] TupleLong(int n) { List<Tuple<long, long>> list = new List<Tuple<long, long>>(); for (int i = 0; i < n; ++i) { var ab = Read.LongN(); list.Add(new Tuple<long, long>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<string, string>[] TupleStr(int n) { List<Tuple<string, string>> list = new List<Tuple<string, string>>(); for (int i = 0; i < n; ++i) { var ab = Read.StrN(); list.Add(new Tuple<string, string>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<double, double>[] TupleDouble(int n) { List<Tuple<double, double>> list = new List<Tuple<double, double>>(); for (int i = 0; i < n; ++i) { var ab = Read.LongN(); list.Add(new Tuple<double, double>(ab[0], ab[1])); } return list.ToArray(); }
            public static long[,] LongMatrix(int r, int c)
            {
                var mat = new long[r, c];
                for (int i = 0; i < r; ++i)
                {
                    var x = Read.LongN();
                    for (int j = 0; j < c; ++j)
                    {
                        mat[i, j] = x[j];
                    }
                }
                return mat;
            }
            public static Dictionary<int, HashSet<int>> AdjacencyList(int N, int M)
            {
                Dictionary<int, HashSet<int>> dict = new Dictionary<int, HashSet<int>>();
                for (int i = 0; i <= N; ++i)
                {
                    dict.Add(i, new HashSet<int>());
                }
                for (int i = 0; i < M; ++i)
                {
                    var ab = Read.IntN();
                    dict[ab[0]].Add(ab[1]);
                    dict[ab[1]].Add(ab[0]);
                }
                return dict;
            }
            public static Dictionary<int, Dictionary<int, long>> AdjacencyListWithWeight(int N, int M)
            {
                Dictionary<int, Dictionary<int, long>> dict = new Dictionary<int, Dictionary<int, long>>();
                for (int i = 0; i <= N; ++i)
                {
                    dict.Add(i, new Dictionary<int, long>());
                }
                for (int i = 0; i < M; ++i)
                {
                    var ab = Read.IntN();
                    dict[ab[0]].Add(ab[1], ab[2]);
                    dict[ab[1]].Add(ab[0], ab[2]);
                }
                return dict;
            }
        }
    }
}


Measured memory_bytes: 17728