#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"
#define NDEBUG
#define SHOW(...) static_cast<void>(0)
//!===========================================================!//
//!  dP     dP                          dP                    !//
//!  88     88                          88                    !//
//!  88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b.  !//
//!  88     88  88ooood8 88'  '88 88'  '88 88ooood8 88'  '88  !//
//!  88     88  88.  ... 88.  .88 88.  .88 88.  ... 88        !//
//!  dP     dP  '88888P' '88888P8 '88888P8 '88888P' dP        !//
//!===========================================================!//
template <typename T>
T read()
{
    T v;
    return std::cin >> v, v;
}
template <typename T>
std::vector<T> readVec(const std::size_t l)
{
    std::vector<T> v(l);
    for (auto& e : v) { std::cin >> e; }
    return v;
}
using ld = long double;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr unsigned int MOD = 1000000007;
template <typename T>
constexpr T INF = std::numeric_limits<T>::max() / 4;
template <typename F>
constexpr F PI = static_cast<F>(3.1415926535897932385);
std::mt19937 mt{std::random_device{}()};
template <typename T>
bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template <typename T>
bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template <typename T>
std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); }
template <class... Args>
auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); }
template <typename T>
constexpr T popCount(const T u)
{
#ifdef __has_builtin
    return u == 0 ? T(0) : (T)__builtin_popcountll(u);
#else
    unsigned long long v = static_cast<unsigned long long>(u);
    return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f);
#endif
}
template <typename T>
constexpr T log2p1(const T u)
{
#ifdef __has_builtin
    return u == 0 ? T(0) : T(64 - __builtin_clzll(u));
#else
    unsigned long long v = static_cast<unsigned long long>(u);
    return v = static_cast<unsigned long long>(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v);
#endif
}
template <typename T>
constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); }
template <typename T>
constexpr T msbp1(const T v) { return log2p1(v); }
template <typename T>
constexpr T lsbp1(const T v)
{
#ifdef __has_builtin
    return __builtin_ffsll(v);
#else
    return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1);
#endif
}
template <typename T>
constexpr bool ispow2(const T v) { return popCount(v) == 1; }
template <typename T>
constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); }
template <typename T>
constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); }
//!=====================================!//
//!  8888ba.88ba           oo           !//
//!  88  '8b  '8b                       !//
//!  88   88   88 .d8888b. dP 88d888b.  !//
//!  88   88   88 88'  '88 88 88'  '88  !//
//!  88   88   88 88.  .88 88 88    88  !//
//!  dP   dP   dP '88888P8 dP dP    dP  !//
//!=====================================!//
int main()
{
    constexpr ll INF = 1000000000LL;
    const int N = read<int>();
    std::vector<ll> x(N), y(N);
    std::string d(N, 'A');
    for (int i = 0; i < N; i++) { std::cin >> x[i] >> y[i] >> d[i], x[i] *= 2, y[i] *= 2; }
    auto xmin = [&](const ll t) {
        ll min = INF;
        for (int i = 0; i < N; i++) { chmin(min, x[i] + (d[i] == 'L' ? -1LL : d[i] == 'R' ? 1LL : 0LL) * t); }
        return -min;
    };
    auto xmax = [&](const ll t) {
        ll max = -INF;
        for (int i = 0; i < N; i++) { chmax(max, x[i] + (d[i] == 'L' ? -1LL : d[i] == 'R' ? 1LL : 0LL) * t); }
        return max;
    };
    auto ymin = [&](const ll t) {
        ll min = INF;
        for (int i = 0; i < N; i++) { chmin(min, y[i] + (d[i] == 'D' ? -1LL : d[i] == 'U' ? 1LL : 0LL) * t); }
        return -min;
    };
    auto ymax = [&](const ll t) {
        ll max = -INF;
        for (int i = 0; i < N; i++) { chmax(max, y[i] + (d[i] == 'D' ? -1LL : d[i] == 'U' ? 1LL : 0LL) * t); }
        return max;
    };
    auto dxmin = [&](const ll t) { return xmin(t + 1) - xmin(t); };
    auto dxmax = [&](const ll t) { return xmax(t + 1) - xmax(t); };
    auto dymin = [&](const ll t) { return ymin(t + 1) - ymin(t); };
    auto dymax = [&](const ll t) { return ymax(t + 1) - ymax(t); };
    std::vector<ll> T;
    auto f = [&](auto df) {
        for (ll d = -1; d <= 1; d++) {
            ll inf = -1LL, sup = INF + 1;
            while (sup - inf > 1) {
                const ll mid = (inf + sup) / 2;
                (df(mid) > d ? sup : inf) = mid;
            }
            T.push_back(sup), T.push_back(inf);
        }
    };
    f(dxmin), f(dxmax), f(dymin), f(dymax);
    ll ans = 1LL << 60;
    for (const ll t : T) {
        if (t >= 0) { chmin(ans, (xmax(t) + xmin(t)) * (ymax(t) + ymin(t))); }
    }
    std::cout << std::fixed << std::setprecision(3) << (ld)ans / 4 << std::endl;
    return 0;
}


Measured memory_bytes: 1920