#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int gcd(int a, int b) { return (b == 0) ? a : gcd(b, a % b); }

#define CIN(T, x) T x; cin >> x;
#define CINS(T, x, N) vector<T> x(N); for(int i = 0; i < (N); i++) { cin >> x[i]; }
#define SHOW(x) for(int i = 0; i < x.size(); i++) { cout << x[i] << " "; } cout << "\n";
#define SHOW2(x) for(int j = 0; j < x.size(); j++) { SHOW(x[j]); } cout << "\n";

ll Lnon = 1e9, Rnon = -1e9, LtoL = 1e9, RtoL = -1e9, LtoR = 1e9, RtoR = -1e9;
ll Dnon = 1e9, Unon = -1e9, DtoD = 1e9, UtoD = -1e9, DtoU = 1e9, UtoU = -1e9;

double getL(double t) {
    double temp = 1e9;
    if (abs(Lnon) < 1e9 ) temp = Lnon;
    if (abs(LtoL) < 1e9 ) temp = min(temp, LtoL - t);
    if (abs(LtoR) < 1e9 ) temp = min(temp, LtoR + t);
    return temp;
}
double getR(double t) {
    double temp = -1e9;
    if (abs(Rnon) < 1e9 ) temp = Rnon;
    if (abs(RtoL) < 1e9 ) temp = max(temp, RtoL - t);
    if (abs(RtoR) < 1e9 ) temp = max(temp, RtoR + t);
    return temp;
}
double getD(double t) {
    double temp = 1e9;
    if (abs(Dnon) < 1e9 ) temp = Dnon;
    if (abs(DtoD) < 1e9 ) temp = min(temp, DtoD - t);
    if (abs(DtoU) < 1e9 ) temp = min(temp, DtoU + t);
    return temp;
}
double getU(double t) {
    double temp = -1e9;
    if (abs(Unon) < 1e9 ) temp = Unon;
    if (abs(UtoD) < 1e9 ) temp = max(temp, UtoD - t);
    if (abs(UtoU) < 1e9 ) temp = max(temp, UtoU + t);
    return temp;
}


int main() {

    CIN(int, N);

    for (int i = 0; i < N; i++) {
        ll x, y;
        char d;
        cin >> x >> y >> d;
        if ( d == 'R' ) {
            LtoR = min(LtoR, x);
            RtoR = max(RtoR, x);
            Dnon = min(Dnon, y);
            Unon = max(Unon, y);
        } else if ( d == 'L' ) {
            LtoL = min(LtoL, x);
            RtoL = max(RtoL, x);
            Dnon = min(Dnon, y);
            Unon = max(Unon, y);
        } else if ( d == 'U' ) {
            DtoU = min(DtoU, y);
            UtoU = max(UtoU, y);
            Lnon = min(Lnon, x);
            Rnon = max(Rnon, x);
        } else {
            DtoD = min(DtoD, y);
            UtoD = max(UtoD, y);
            Lnon = min(Lnon, x);
            Rnon = max(Rnon, x);
        }
    }

    // cout << Lnon << " " << Rnon << " " << LtoL << " " << RtoL << " " << LtoR << " " << RtoR << "\n";
    // cout << Dnon << " " << Unon << " " << DtoD << " " << UtoD << " " << DtoU << " " << UtoU << "\n";

    double ans;
    double dx1, dy1, dx2, dy2;
    dx2 = getR(0) - getL(0);
    dy2 = getU(0) - getD(0);
    ans = dx2 * dy2;

    int i = 0, di = 1e4;

    while (true) {

        double l, r, u, d;
        double temp;
        l = getL((double)i / 2.0);
        r = getR((double)i / 2.0);
        u = getU((double)i / 2.0);
        d = getD((double)i / 2.0);
        dx1 = r - l;
        dy1 = u - d;
        // std::cout << l << " " << r << " " << d << " " << u << "\n";

        temp = dx1 * dy1;
        ans = min(ans, temp);
        if (ans == 0) break;
        if ( (dx1 >= dx2 && dy1 > dy2) || (dx1 > dx2 && dy1 >= dy2) ) {
            if ( di == 1e4 ) {
                i = max(i - di * 2, 0);

                l = getL((double)i / 2.0);
                r = getR((double)i / 2.0);
                u = getU((double)i / 2.0);
                d = getD((double)i / 2.0);
                dx2 = r - l;
                dy2 = u - d;

                di = 1;
                continue;
            } else {
                break;
            }
        }
        dx2 = dx1;
        dy2 = dy1;
        i = i + di;
    }

    printf("%.16f", ans);
    // std::cout << ans << "\n";
    return 0;
}

Measured memory_bytes: 256