#include <bits/stdc++.h>

using namespace std;

using int64 = long long;

int64 Min(const vector<int64>& xs) {
  int64 value = INT64_MAX;
  for (int64 x : xs) value = min(x, value);
  return value;
}

double Min(const vector<double>& xs) {
  double value = DBL_MAX;
  for (double x : xs) value = min(x, value);
  return value;
}

int64 Max(const vector<int64>& xs) {
  int64 value = INT64_MIN;
  for (int64 x : xs) value = max(x, value);
  return value;
}

double Max(const vector<double>& xs) {
  double value = -DBL_MAX;
  for (double x : xs) value = max(x, value);
  return value;
}

void Process(
    const vector<int64>& xs_pos, const vector<int64>& xs_neg,
    const vector<int64>& xs_still, vector<double>* check_points) {
  if (xs_pos.size() > 0 && xs_neg.size() > 0) {
    int64 pos_max = Max(xs_pos);
    int64 neg_max = Max(xs_neg);
    if (neg_max > pos_max) {
      check_points->push_back((neg_max - pos_max) / 2.0);
    }

    int64 pos_min= Min(xs_pos);
    int64 neg_min = Min(xs_neg);
    if (neg_min > pos_min) {
      check_points->push_back((neg_min - pos_min) / 2.0);
    }
  }
  if (xs_pos.size() > 0 && xs_still.size() > 0) {
    int64 pos_max = Max(xs_pos);
    int64 still_max = Max(xs_still);
    if (still_max > pos_max) {
      check_points->push_back(still_max - pos_max);
    }

    int64 pos_min = Min(xs_pos);
    int64 still_min = Min(xs_still);
    if (still_min > pos_min) {
      check_points->push_back(still_min - pos_min);
    }
  }
  if (xs_neg.size() > 0 && xs_still.size() > 0) {
    int64 neg_max = Max(xs_neg);
    int64 still_max = Max(xs_still);
    if (neg_max > still_max) {
      check_points->push_back(neg_max - still_max);
    }

    int64 neg_min = Min(xs_neg);
    int64 still_min = Min(xs_still);
    if (neg_min > still_min) {
      check_points->push_back(neg_min - still_min);
    }
  }
}

double Range(
    const vector<int64>& xs_pos, const vector<int64>& xs_neg,
    const vector<int64>& xs_still, double t) {
  vector<double> xs;
  for (int64 x : xs_pos) {
    xs.push_back(x + t);
  }
  for (int64 x : xs_neg) {
    xs.push_back(x - t);
  }
  for (int64 x : xs_still) {
    xs.push_back(x);
  }
  return Max(xs) - Min(xs);
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout << fixed << setprecision(10);

  int n;
  cin >> n;
  vector<int64> xs_pos, xs_neg, xs_still;
  vector<int64> ys_pos, ys_neg, ys_still;
  for (int i = 0; i < n; i++) {
    int64 x, y;
    string c;
    cin >> x >> y >> c;
    if (c == "R") {
      xs_pos.push_back(x);
      ys_still.push_back(y);
    } else if (c == "L") {
      xs_neg.push_back(x);
      ys_still.push_back(y);
    } else if (c == "U") {
      xs_still.push_back(x);
      ys_pos.push_back(y);
    } else if (c == "D") {
      xs_still.push_back(x);
      ys_neg.push_back(y);
    }
  }

  vector<double> check_points;
  check_points.push_back(0);

  Process(xs_pos, xs_neg, xs_still, &check_points);
  Process(ys_pos, ys_neg, ys_still, &check_points);
  double solution = DBL_MAX;

  vector<double> new_check_points;

  for (double t : check_points) {
    double x_range = Range(xs_pos, xs_neg, xs_still, t);
    double y_range = Range(ys_pos, ys_neg, ys_still, t);
    // cout << "t: " << t << " " << x_range * y_range << endl;
    // cout << "x_range: " << x_range << endl;
    // cout << "y_range: " << y_range << endl;
    solution = min(x_range * y_range, solution);

    new_check_points.push_back(t + abs(x_range - y_range));
    new_check_points.push_back(t + abs(x_range - y_range) / 2.0);
    new_check_points.push_back(t + abs(x_range - y_range) / 3.0);
    new_check_points.push_back(t + abs(x_range - y_range) / 4.0);
  }

  for (double t : new_check_points) {
    double x_range = Range(xs_pos, xs_neg, xs_still, t);
    double y_range = Range(ys_pos, ys_neg, ys_still, t);
    // cout << "t: " << t << " " << x_range * y_range << endl;
    solution = min(x_range * y_range, solution);
  }

  cout << solution << endl;
}


Measured memory_bytes: 3900