#include <bits/stdc++.h>
#define int long long
#define ll long long
using ull = unsigned long long;
using namespace std;
const int INF = 1ll << 60;
const int MOD = 1e9 + 7;
#define dump(x)                             \
    if (dbg) {                              \
        cerr << #x << " = " << (x) << endl; \
    }
#define overload4(_1, _2, _3, _4, name, ...) name
#define FOR1(n) for (ll i = 0; i < (n); ++i)
#define FOR2(i, n) for (ll i = 0; i < (n); ++i)
#define FOR3(i, a, b) for (ll i = (a); i < (b); ++i)
#define FOR4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FORR(i, a, b) for (int i = (a); i <= (b); ++i)
#define bit(n, k) ((n >> k) & 1) /*nのk bit目*/
template <class T>
bool chmin(T& a, const T& b) {
    if (a > b) {
        a = b;
        return 1;
    } else
        return 0;
}
template <class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return 1;
    } else
        return 0;
}
void Yes(bool flag = true) {
    if (flag)
        cout << "Yes" << endl;
    else
        cout << "No" << endl;
}
void No(bool flag = true) {
    Yes(!flag);
}
void YES(bool flag = true) {
    if (flag)
        cout << "YES" << endl;
    else
        cout << "NO" << endl;
}
void NO(bool flag = true) {
    YES(!flag);
}
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(v) (v).begin(), (v).end()
#define SZ(x) ((int)(x).size())
#define vi vector<int>
//#define P pair<int, int>
//#define V vector<int>
//#define S set<int>
#define itn int
bool dbg = false;

itn N;
double x[101010], y[101010];
char d[101010];

double area(double t) {
    double xmi = INF, xma = -INF, ymi = INF, yma = -INF;
    FOR(N) {
        double xc, yc;
        if (d[i] == 'R')
            xc = x[i] + t, yc = y[i];
        if (d[i] == 'L')
            xc = x[i] - t, yc = y[i];
        if (d[i] == 'U')
            xc = x[i], yc = y[i] + t;
        if (d[i] == 'D')
            xc = x[i], yc = y[i] - t;
        chmin(xmi, xc);
        chmax(xma, xc);
        chmin(ymi, yc);
        chmax(yma, yc);
    }
    return (xma - xmi) * (yma - ymi);
}

void solve() {
    vector<double> alt;
    alt.pb(0);
    {
        double m1 = INF, m2 = INF, m3 = INF;
        FOR(N)
        if (d[i] == 'L')
            chmin(m1, x[i]);
        else if (d[i] == 'R')
            chmin(m2, x[i]);
        else
            chmin(m3, x[i]);
        if (m1 != INF && m2 != INF)
            alt.eb(abs(m1 - m2) / 2.0);
        if (m1 != INF && m3 != INF)
            alt.eb(abs(m1 - m3));
        if (m2 != INF && m3 != INF)
            alt.eb(abs(m2 - m3));
    }
    {
        double m1 = -INF, m2 = -INF, m3 = -INF;
        FOR(N)
        if (d[i] == 'L')
            chmax(m1, x[i]);
        else if (d[i] == 'R')
            chmax(m2, x[i]);
        else
            chmax(m3, x[i]);

        if (m1 != -INF && m2 != -INF)
            alt.eb(abs(m1 - m2) / 2.0);
        if (m1 != -INF && m3 != -INF)
            alt.eb(abs(m1 - m3));
        if (m2 != -INF && m3 != -INF)
            alt.eb(abs(m2 - m3));
    }

    {
        double m1 = INF, m2 = INF, m3 = INF;
        FOR(N)
        if (d[i] == 'D')
            chmin(m1, y[i]);
        else if (d[i] == 'U')
            chmin(m2, y[i]);
        else
            chmin(m3, y[i]);
        if (m1 != INF && m2 != INF)
            alt.eb(abs(m1 - m2) / 2.0);
        if (m1 != INF && m3 != INF)
            alt.eb(abs(m1 - m3));
        if (m2 != INF && m3 != INF)
            alt.eb(abs(m2 - m3));
    }
    {
        double m1 = -INF, m2 = -INF, m3 = -INF;
        FOR(N)
        if (d[i] == 'D')
            chmax(m1, y[i]);
        else if (d[i] == 'U')
            chmax(m2, y[i]);
        else
            chmax(m3, y[i]);
        if (m1 != -INF && m2 != -INF)
            alt.eb(abs(m1 - m2) / 2.0);
        if (m1 != -INF && m3 != -INF)
            alt.eb(abs(m1 - m3));
        if (m2 != -INF && m3 != -INF)
            alt.eb(abs(m2 - m3));
    }
    double ans = INF;
    for (auto t : alt)
        chmin(ans, area(t));
    cout << ans << endl;
}

signed main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);

    cin >> N;
    FOR(N)
    cin >> x[i] >> y[i] >> d[i];

    solve();
    return 0;
}


Measured memory_bytes: 1920