////////////////////////////////////////
///  tu3 pro-con template            ///
////////////////////////////////////////
#include "bits/stdc++.h"
using namespace std;

// -- typedefs -- //
#define EPS 1e-9
typedef long long llong;

// -- loop macros -- //
#define REP(i,n) for (auto i = decltype(n)(0); i < (n); i++)
#define RREP(i,n) for (auto i = (n)-1; i >= 0; i--)
#define FOR(i,s,n) for (auto i = (s); i < (n); i++)
#define FORR(i,s,n) for (auto i = (n)-1; i >= (s); i--)
#define FORE(exp) for (auto && exp)
#define allof(c) c.begin(), c.end()
#define partof(c,s,e) c.begin() + (s), c.begin() + (e)

// -- functors -- //
#define PREDICATE(t,a,...) [&](const t & a) -> bool { return __VA_ARGS__; }
#define PRED(a,...) PREDICATE(auto,a,__VA_ARGS__)
#define COMPARISON(t,a,b,...) [&](const t & a, const t & b) -> bool { return __VA_ARGS__; }
#define COMP(a,b,...) COMPARISON(auto,a,b,__VA_ARGS__)
#define CONV1(a,...) [&](const auto & a) -> auto { return __VA_ARGS__; }
#define CONV2(a,b,...) [&](const auto & a, const auto & b) -> auto { return __VA_ARGS__; }
#define CONV3(a,b,c,...) [&](const auto & a, const auto & b, const auto & c) -> auto { return __VA_ARGS__; }

// -- I/O Helper -- //
struct _Reader { istream& cin; template <class T> _Reader operator ,(T& rhs) { cin >> rhs; return *this; } };
struct _Writer { ostream& cout; const char* d{" "}; bool f{}; template <class T> _Writer operator ,(const T& rhs) { cout << (f ? d : "") << rhs; f = 1; return *this; } };
#define READ(t,...) t __VA_ARGS__; (_Reader{cin}), __VA_ARGS__
#define WRITE(...) do { (_Writer{cout}), __VA_ARGS__; cout << endl; } while (false)
#define WRITELN(...)  do { (_Writer{cout, "\n"}), __VA_ARGS__; cout << endl; } while (false)
#ifdef _DEBUG
#define DEBUG(...) (_Writer{cerr}), "DEBUG -> ", __VA_ARGS__, "\n"
#else
#define DEBUG(...)
#endif

// -- vevector -- //
template <class T> struct vevector : vector<vector<T>> { vevector(size_t n = 0, size_t m = 0, const T & initial = T()) : vector<vector<T>>(n, vector<T>(m, initial)) { } };
template <class T> struct vevevector : vector<vevector<T>> { vevevector(size_t n = 0, size_t m = 0, size_t l = 0, const T & initial = T()) : vector<vevector<T>>(n, vevector<T>(m, l, initial)) { } };
template <class T> struct vevevevector : vector<vevevector<T>> { vevevevector(size_t n = 0, size_t m = 0, size_t l = 0, size_t k = 0, const T & initial = T()) : vector<vevevector<T>>(n, vevevector<T>(m, l, k, initial)) { } };

namespace std {
	template <class T1, class T2> istream& operator >> (istream& in, pair<T1, T2>& p) { in >> p.first >> p.second; return in; }
	template <class T1, class T2> ostream& operator << (ostream& out, const pair<T1, T2>& p) { out << p.first << " " << p.second; return out; }
}

template <class T> T read() { T t; cin >> t; return t; }
template <class T> vector<T> read(int n) { vector<T> v; REP(i, n) { v.push_back(read<T>()); } return v; }
template <class T> vevector<T> read(int n, int m) { vevector<T> v; REP(i, n) v.push_back(read<T>(m)); return v; }
template <class T> vector<T> readjag() { return read<T>(read<int>()); }
template <class T> vevector<T> readjag(int n) { vevector<T> v; REP(i, n) v.push_back(readjag<T>()); return v; }

template <class T> struct iter_range_t { T beg, end; };
template <class T> iter_range_t<T> iter_range(T beg, T end) { return iter_range_t<T>{beg, end}; }
template <class T> ostream& operator << (ostream& out, iter_range_t<T> v) { if (v.beg != v.end) { out << *v.beg++; while (v.beg != v.end) { out << " " << *v.beg++; } } return out; }
template <class T> ostream& operator << (ostream& out, const vector<T>& v) { return out << iter_range(allof(v)); }

// -- etc -- //
template <class T> T infinity_value();
template <> int infinity_value<int>() { return int(1) << 28; }
template <> llong infinity_value<llong>() { return llong(1) << 60; }
template <> double infinity_value<double>() { return 1e+300 * 1e+300; }
#define INF(T) infinity_value<T>()

inline int sign_of(double x) { return (abs(x) < EPS ? 0 : x > 0 ? 1 : -1); }
template <class TInt> bool in_range(TInt val, TInt min, TInt max) { return val >= min && val < max; }
template <> bool in_range<double>(double val, double min, double max) { return val - min > -EPS && val - max < EPS; }
template <class TInt> bool in_range2d(TInt x, TInt y, TInt w, TInt h) { return x >= 0 && x < w && y >= 0 && y < h; }
vector<int> iotavn(int start, int count) { vector<int> r(count); iota(allof(r), start);	return r; }


//// start up ////
void solve();
int32_t main()
{
	//auto classic_table = ctype<char>::classic_table();
	//vector<ctype<char>::mask> ctable(classic_table, classic_table + ctype<char>::table_size);
	//ctable['-'] |= ctype_base::space; // as delimitor
	//cin.imbue(locale(cin.getloc(), new ctype<char>(ctable.data())));

	cin.tie(nullptr);
	ios_base::sync_with_stdio(false);
	cout << fixed;
	cout << setprecision(std::numeric_limits<double>::max_digits10);
	solve();

	return 0;
}

std::vector<double> crossingPoints(double a1, double b1, double c1, double a2, double b2, double c2)
{
	double a = a1 - a2;
	double b = b1 - b2;
	double c = c1 - c2;
	if (abs(a) > EPS)
	{
		auto q = 4 * a * c - b * b;
		if (q < -EPS) { return {}; }
		if (q < EPS) { return { -b / a / 2 }; }
		return { (-b + sqrt(q)) / a / 2, (-b - sqrt(q)) / a / 2, };
	}

	if (abs(b) > EPS)
	{
		return { -c / b };
	}

	return {};
}


void solve()
{
	READ(int, N);

	std::vector<double> Dr, Dl, Du, Dd;
	double xboundma = -INF(double);
	double yboundma = -INF(double);
	double xboundmi = INF(double);
	double yboundmi = INF(double);

	REP(i, N)
	{
		READ(double, x, y);
		READ(char, d);

		switch (d)
		{
		case 'R': { Dr.push_back(x); yboundma = max(yboundma, y); yboundmi = min(yboundmi, y); } break;
		case 'L': { Dl.push_back(x); yboundma = max(yboundma, y); yboundmi = min(yboundmi, y); } break;
		case 'D': { Du.push_back(y); xboundma = max(xboundma, x); xboundmi = min(xboundmi, x); } break;
		case 'U': { Dd.push_back(y); xboundma = max(xboundma, x); xboundmi = min(xboundmi, x); } break;
		}
	}


	sort(allof(Dr));
	sort(allof(Dl));

	sort(allof(Du));
	sort(allof(Dd));

	vector<double> cands = { 0.0 };

	if (!Dl.empty()) FORE(x : crossingPoints(0, -1, Dl.back(), 0, 0, xboundma)) cands.push_back(x);
	if (!Dr.empty()) FORE(x : crossingPoints(0, +1, Dr.back(), 0, 0, xboundma)) cands.push_back(x);
	if (!Dl.empty() && !Dr.empty()) FORE(x : crossingPoints(0, -1, Dl.back(), 0, +1, Dr.back())) cands.push_back(x);
	if (!Dl.empty()) FORE(x : crossingPoints(0, -1, Dl.front(), 0, 0, xboundmi)) cands.push_back(x);
	if (!Dr.empty()) FORE(x : crossingPoints(0, +1, Dr.front(), 0, 0, xboundmi)) cands.push_back(x);
	if (!Dl.empty() && !Dr.empty()) FORE(x : crossingPoints(0, -1, Dl.front(), 0, +1, Dr.front())) cands.push_back(x);

	if (!Du.empty()) FORE(x : crossingPoints(0, -1, Du.back(), 0, 0, yboundma)) cands.push_back(x);
	if (!Dd.empty()) FORE(x : crossingPoints(0, +1, Dd.back(), 0, 0, yboundma)) cands.push_back(x);
	if (!Du.empty() && !Dd.empty()) FORE(x : crossingPoints(0, -1, Du.back(), 0, +1, Dd.back())) cands.push_back(x);
	if (!Du.empty()) FORE(x : crossingPoints(0, -1, Du.front(), 0, 0, yboundmi)) cands.push_back(x);
	if (!Dd.empty()) FORE(x : crossingPoints(0, +1, Dd.front(), 0, 0, yboundmi)) cands.push_back(x);
	if (!Du.empty() && !Dd.empty()) FORE(x : crossingPoints(0, -1, Du.front(), 0, +1, Dd.front())) cands.push_back(x);

	auto fXma = [&](double t) { return max({ (!Dl.empty() ? Dl.back() : -INF(double)) - t, xboundma, (!Dr.empty() ? Dr.back() : -INF(double)) + t, }); };
	auto fYma = [&](double t) {	return max({ (!Du.empty() ? Du.back() : -INF(double)) - t, yboundma, (!Dd.empty() ? Dd.back() : -INF(double)) + t, }); };
	auto fXmi = [&](double t) {	return min({ (!Dl.empty() ? Dl.front() : INF(double)) - t, xboundmi, (!Dr.empty() ? Dr.front() : INF(double)) + t, }); };
	auto fYmi = [&](double t) {	return min({ (!Du.empty() ? Du.front() : INF(double)) - t, yboundmi, (!Dd.empty() ? Dd.front() : INF(double)) + t, }); };
	auto fY = [&](double t) { return fYma(t) - fYmi(t); };
	auto fX = [&](double t) { return fXma(t) - fXmi(t); };
	auto f = [&](double t) { return fY(t) * fX(t); };

	double ans = INF(double);
	FORE(c : cands)
	{
		if (c >= -EPS)
		{
			ans = min(ans, f(c));
		}
	}
	WRITE(ans);
}


Measured memory_bytes: 1276