using System;
using System.IO;
using System.Collections.Generic;
using System.Globalization;
using System.Linq;
using System.Text;
using E = System.Linq.Enumerable;

partial class Solver
{
    public int[] dx = new int[] { 0, 1, 0, -1 };
    public int[] dy = new int[] { 1, 0, -1, 0 };
    public string ds = "URDL";

    public void Run()
    {
        var N = ni();
        var x = new long[N];
        var y = new long[N];
        var d = new string[N];
        for (int i = 0; i < N; i++)
        {
            x[i] = ni();
            y[i] = ni();
            d[i] = ns();
        }

        double ans = 1e100;

        double lower = 0, upper = 1e15;

        for (int _ = 0; _ < 300; _++)
        {
            var left = (lower + lower + upper) / 3.0;
            var right = (lower + upper + upper) / 3.0;
            double areaL = GetAreaAt(N, x, y, d, left);
            double areaR = GetAreaAt(N, x, y, d, right);
            //cout.WriteLine("{0} {1}", areaL, areaR);
            ans = Math.Min(ans, areaL);
            if (areaL > areaR)
            {
                lower = left;
            }
            else
            {
                upper = right;
            }
        }
        if (ans < 0) ans = 0;

        cout.WriteLine("{0:0.0000000000000}", ans);
    }

    private double GetAreaAt(int N, long[] x, long[] y, string[] d, double mid)
    {
        double xmin = 1e100;
        double ymin = 1e100;
        double xmax = -1e100;
        double ymax = -1e100;

        for (int i = 0; i < N; i++)
        {
            var dindex = ds.IndexOf(d[i][0]);
            var nx = x[i] + dx[dindex] * mid;
            var ny = y[i] + dy[dindex] * mid;
            xmin = Math.Min(xmin, nx);
            ymin = Math.Min(ymin, ny);
            xmax = Math.Max(xmax, nx);
            ymax = Math.Max(ymax, ny);
        }

        return (ymax - ymin) * (xmax - xmin);
    }
}

// PREWRITEN CODE BEGINS FROM HERE
partial class Solver : Scanner
{
    public static void Main(string[] args)
    {
#if LOCAL
        new Solver(Console.In, Console.Out).Run();
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver(Console.In, Console.Out).Run();
        Console.Out.Flush();
#endif
    }

#pragma warning disable IDE0052
    private readonly TextReader cin;
    private readonly TextWriter cout;
#pragma warning restore IDE0052

    public Solver(TextReader reader, TextWriter writer)
        : base(reader)
    {
        this.cin = reader;
        this.cout = writer;
    }
    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer)
    {
    }

#pragma warning disable IDE1006
#pragma warning disable IDE0051
    private int ni() { return NextInt(); }
    private int[] ni(int n) { return NextIntArray(n); }
    private long nl() { return NextLong(); }
    private long[] nl(int n) { return NextLongArray(n); }
    private double nd() { return NextDouble(); }
    private double[] nd(int n) { return NextDoubleArray(n); }
    private string ns() { return Next(); }
    private string[] ns(int n) { return NextArray(n); }
#pragma warning restore IDE1006
#pragma warning restore IDE0051
}

public static class LinqPadExtension
{
    static public T Dump<T>(this T obj)
    {
#if LOCAL
        return LINQPad.Extensions.Dump(obj);
#else
        return obj;
#endif
    }
}
public class Scanner
{
    private readonly TextReader Reader;
    private readonly Queue<string> TokenQueue = new Queue<string>();
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;

    public Scanner()
        : this(Console.In)
    {
    }

    public Scanner(TextReader reader)
    {
        this.Reader = reader;
    }

    public int NextInt() { return int.Parse(Next(), ci); }
    public long NextLong() { return long.Parse(Next(), ci); }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size)
    {
        var array = new string[size];
        for (int i = 0; i < size; i++) array[i] = Next();
        return array;
    }
    public int[] NextIntArray(int size)
    {
        var array = new int[size];
        for (int i = 0; i < size; i++) array[i] = NextInt();
        return array;
    }

    public long[] NextLongArray(int size)
    {
        var array = new long[size];
        for (int i = 0; i < size; i++) array[i] = NextLong();
        return array;
    }

    public double[] NextDoubleArray(int size)
    {
        var array = new double[size];
        for (int i = 0; i < size; i++) array[i] = NextDouble();
        return array;
    }

    public string Next()
    {
        if (TokenQueue.Count == 0)
        {
            if (!StockTokens()) throw new InvalidOperationException();
        }
        return TokenQueue.Dequeue();
    }

    public bool HasNext()
    {
        if (TokenQueue.Count > 0)
            return true;
        return StockTokens();
    }
    static readonly char[] _separator = new[] { ' ' };
    private bool StockTokens()
    {
        while (true)
        {
            var line = Reader.ReadLine();
            if (line == null) return false;
            var tokens = line.Split(_separator, StringSplitOptions.RemoveEmptyEntries);
            if (tokens.Length == 0) continue;
            foreach (var token in tokens)
                TokenQueue.Enqueue(token);
            return true;
        }
    }
}


Measured memory_bytes: 22092