object Main {
  import java.io.{BufferedReader, InputStream, InputStreamReader}
  import java.util.StringTokenizer
  import scala.reflect.ClassTag

  def main(args: Array[String]): Unit = {
    val out = new java.io.PrintWriter(System.out)
    new Main(out, new InputReader(System.in)).solve()
    out.flush()
  }

  private val oj = System.getenv("ATCODER_DEBUG") == null
  def DEBUG(f: => Unit): Unit = {
    if (!oj){ f }
  }
  def debug(as: Array[Boolean]): Unit = if (!oj){ debug(as.map(x => if(x) "1" else "0").mkString) }
  def debug(as: Array[Int]): Unit = if (!oj){ debug(as.mkString(" ")) }
  def debug(as: Array[Long]): Unit =if (!oj){ debug(as.mkString(" ")) }
  def debugDim(m: Array[Array[Long]]): Unit = if (!oj){
    REP(m.length) { i =>
      debug(m(i))
    }
  }
  def debugDimFlip(m: Array[Array[Long]]): Unit = if (!oj){
    REP(m(0).length) { j =>
      REP(m.length) { i =>
        System.err.print(m(i)(j))
        System.err.print(" ")
      }
      System.err.println()
    }
  }
  def debug(s: => String): Unit = DEBUG {
    System.err.println(s)
  }
  def debugL(num: => Long): Unit = DEBUG {
    System.err.println(num)
  }

  class InputReader(val stream: InputStream) {
    private val reader = new BufferedReader(new InputStreamReader(stream), 32768)
    private var tokenizer: StringTokenizer = _

    def next(): String = {
      while (tokenizer == null || !tokenizer.hasMoreTokens)
        tokenizer = new StringTokenizer(reader.readLine)
      tokenizer.nextToken
    }

    def nextInt(): Int = Integer.parseInt(next())
    def nextLong(): Long = java.lang.Long.parseLong(next())
    def nextChar(): Char = next().charAt(0)

    def ni(): Int = nextInt()
    def nl(): Long = nextLong()
    def nc(): Char = nextChar()
    def ns(): String = next()
    def ns(n: Int): Array[Char] = ns().toCharArray
    def na(n: Int, offset: Int = 0): Array[Int] = map(n)(_ => ni() + offset)
    def na2(n: Int, offset: Int = 0): (Array[Int], Array[Int]) = {
      val A1, A2 = Array.ofDim[Int](n)
      REP(n) { i =>
        A1(i) = ni() + offset
        A2(i) = ni() + offset
      }
      (A1, A2)
    }
    def nm(n: Int, m: Int): Array[Array[Int]] = {
      val A = Array.ofDim[Int](n, m)
      REP(n) { i =>
        REP(m) { j =>
          A(i)(j) = ni()
        }
      }
      A
    }
    def nal(n: Int): Array[Long] = map(n)(_ => nl())
    def nm_c(n: Int, m: Int): Array[Array[Char]] = map(n) (_ => ns(m))
  }

  def REP(n: Int, offset: Int = 0)(f: Int => Unit): Unit = {
    var i = offset
    val N = n + offset
    while(i < N) { f(i); i += 1 }
  }
  def REP_r(n: Int, offset: Int = 0)(f: Int => Unit): Unit = {
    var i = n - 1 + offset
    while(i >= offset) { f(i); i -= 1 }
  }
  def TO(from: Int, to: Int)(f: Int => Unit): Unit = {
    REP(to - from + 1, from) { i =>
      f(i)
    }
  }
  def map[@specialized A: ClassTag](n: Int, offset: Int = 0)(f: Int => A): Array[A] = {
    val res = Array.ofDim[A](n)
    REP(n)(i => res(i) = f(i + offset))
    res
  }

  def sumL(as: Array[Int]): Long = {
    var s = 0L
    REP(as.length)(i => s += as(i))
    s
  }
  def cumSum(as: Array[Int]): Array[Long] = {
    val cum = Array.ofDim[Long](as.length + 1)
    REP(as.length) { i =>
      cum(i + 1) = cum(i) + as(i)
    }
    cum
  }
}

class Main(out: java.io.PrintWriter, sc: Main.InputReader) {
  import sc._
  import Main._
  import java.util.Arrays.sort

  import scala.collection.mutable
  import math.{abs, max, min}
  import mutable.ArrayBuffer

  val INF: Int = 1e9.toInt

  class Pair {
    var min: Int = INF
    var max: Int = -INF
    def nonEmpty = min != INF

    override def toString: String = s"$min:$max"
  }
  case class Axis(L: Pair, R: Pair, UD: Pair)

  // toIntとか+7とかするならvalにしろ
  @inline private def MOD = 1000000007

  def solve(): Unit = {
    val N = ni()
    val X, Y: Axis = Axis(new Pair, new Pair, new Pair)

    def setMinMax(v: Int, pair: Pair): Unit = {
      pair.max = max(pair.max, v)
      pair.min = min(pair.min, v)
    }

    REP(N) { _ =>
      val x, y = ni() * 2
      val d = nc()
      d match {
        case 'R' =>
          setMinMax(x, X.R)
          setMinMax(y, Y.UD)

        case 'L' =>
          setMinMax(x, X.L)
          setMinMax(y, Y.UD)

        // Yの<-に対応させる
        case 'D' =>
          setMinMax(x, X.UD)
          setMinMax(y, Y.L)

        // Yの->に対応させる
        case 'U' =>
          setMinMax(x, X.UD)
          setMinMax(y, Y.R)
      }
    }

    debug(s"X:$X Y:$Y")

    def len(p: Long, ax: Axis) = {
      val ms = min(ax.UD.min, min(ax.R.min + p, ax.L.min - p))
      val mx = max(ax.UD.max, max(ax.R.max + p, ax.L.max - p))
      mx - ms
    }

    def f(p: Long): Long = {
      debug(s"xlen:${len(p, X)} ylen:${len(p, Y)}")
      len(p, X) * len(p, Y)
    }

    def points(ax: Axis): Seq[Int] = {
      for {
        (l, r, w) <- Seq((ax.UD, ax.L, 1), (ax.R, ax.UD, 1), (ax.R, ax.L, 2))
        if l.nonEmpty && r.nonEmpty
        (l, r) <- Seq((l.min, r.min), (l.max, r.min), (l.min, r.max), (l.max, r.max))
        if r - l > 0
      } yield (r - l) / w
    }

    debug(s"pointX: ${points(X)}")
    debug(s"pointY: ${points(Y)}")
    val P = Seq(0) ++ (points(X) ++ points(Y)).distinct
    debug(P.mkString(" "))
    var ans = 1e18.toLong
    REP(P.length) { i =>
      ans = min(ans, f(P(i)))
    }

    out.println(f"${ans.toDouble/4}%.9f")
  }
}

Measured memory_bytes: 39748