#define _CRT_SECURE_NO_WARNINGS

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <limits>
#include <ctime>
#include <cassert>
#include <map>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <sstream>
#include <stack>
#include <queue>
#include <numeric>
#include <iterator>
#include <bitset>
#include <unordered_map>
#include <unordered_set>

using namespace std;
#define FOR(i,n) for(int i = 0; i < (n); i++)
#define sz(c) ((int)c.size())
#define ten(n) ((int)1e##n)
using ll = long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;

template<typename ...> static inline int getchar_unlocked(void) { return getchar(); }
template<typename ...> static inline void putchar_unlocked(int c) { putchar(c); }
#define mygc(c) (c)=getchar_unlocked()
#define mypc(c) putchar_unlocked(c)
void reader(int& x) { int k, m = 0; x = 0; for (;;) { mygc(k); if (k == '-') { m = 1; break; }if ('0' <= k&&k <= '9') { x = k - '0'; break; } }for (;;) { mygc(k); if (k<'0' || k>'9')break; x = x * 10 + k - '0'; }if (m) x = -x; }
void reader(ll& x) { int k, m = 0; x = 0; for (;;) { mygc(k); if (k == '-') { m = 1; break; }if ('0' <= k&&k <= '9') { x = k - '0'; break; } }for (;;) { mygc(k); if (k<'0' || k>'9')break; x = x * 10 + k - '0'; }if (m) x = -x; }
int reader(char c[]) { int i, s = 0; for (;;) { mygc(i); if (i != ' '&&i != '\n'&&i != '\r'&&i != '\t'&&i != EOF) break; }c[s++] = i; for (;;) { mygc(i); if (i == ' ' || i == '\n' || i == '\r' || i == '\t' || i == EOF) break; c[s++] = i; }c[s] = '\0'; return s; }
int reader(string& c) { int i; for (;;) { mygc(i); if (i != ' '&&i != '\n'&&i != '\r'&&i != '\t'&&i != EOF) break; }c.push_back(i); for (;;) { mygc(i); if (i == ' ' || i == '\n' || i == '\r' || i == '\t' || i == EOF) break; c.push_back(i); }; return sz(c); }
template <class T, class S> void reader(T& x, S& y) { reader(x); reader(y); }
template <class T, class S, class U> void reader(T& x, S& y, U& z) { reader(x); reader(y); reader(z); }
template <class T, class S, class U, class V> void reader(T& x, S& y, U& z, V & w) { reader(x); reader(y); reader(z); reader(w); }
void writer(int x, char c) { int s = 0, m = 0; char f[10]; if (x<0)m = 1, x = -x; while (x)f[s++] = x % 10, x /= 10; if (!s)f[s++] = 0; if (m)mypc('-'); while (s--)mypc(f[s] + '0'); mypc(c); }
void writer(ll x, char c) { int s = 0, m = 0; char f[20]; if (x<0)m = 1, x = -x; while (x)f[s++] = x % 10, x /= 10; if (!s)f[s++] = 0; if (m)mypc('-'); while (s--)mypc(f[s] + '0'); mypc(c); }
void writer(const char c[]) { int i; for (i = 0; c[i] != '\0'; i++)mypc(c[i]); }
void writer(const string& x, char c) { int i; for (i = 0; x[i] != '\0'; i++)mypc(x[i]); mypc(c); }
void writer(const char x[], char c) { int i; for (i = 0; x[i] != '\0'; i++)mypc(x[i]); mypc(c); }
template<class T> void writerLn(T x) { writer(x, '\n'); }
template<class T, class S> void writerLn(T x, S y) { writer(x, ' '); writer(y, '\n'); }
template<class T, class S, class U> void writerLn(T x, S y, U z) { writer(x, ' '); writer(y, ' '); writer(z, '\n'); }
template<class T, class S, class U, class V> void writerLn(T x, S y, U z, V v) { writer(x, ' '); writer(y, ' '); writer(z, ' '); writer(v, '\n'); }
template<class T> void writerArr(T x[], int n) { if (!n) { mypc('\n'); return; }FOR(i, n - 1)writer(x[i], ' '); writer(x[n - 1], '\n'); }
template<class T> void writerArr(vector<T>& x) { writerArr(x.data(), (int)x.size()); }

template<class T> void chmin(T& a, const T& b) { if (a > b) a = b; }
template<class T> void chmax(T& a, const T& b) { if (a < b) a = b; }

template<class T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; }
template<class T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
ll mod_pow(ll a, ll n, ll mod) {
	ll ret = 1;
	ll p = a % mod;
	while (n) {
		if (n & 1) ret = ret * p % mod;
		p = p * p % mod;
		n >>= 1;
	}
	return ret;
}
template<class T> T extgcd(T a, T b, T& x, T& y) { for (T u = y = 1, v = x = 0; a;) { T q = b / a; swap(x -= q * u, u); swap(y -= q * v, v); swap(b -= q * a, a); } return b; }
ll mod_inv(ll a, ll m) { ll x, y; extgcd<ll>(a, m, x, y); return (m + x % m) % m; }

#ifdef _MSC_VER
template <typename ... Args>
void debugPrintf(const char *format, Args const & ... args) {
	fprintf(stderr, format, args ...);
	fflush(stderr);
}
#else
#define debugPrintf(...)
#endif
const int MOD = ten(9) + 7;

int ftime(vector<Pii>& vp, int t) {
	int mn = ten(8) * 2, mx = -ten(8) * 2;
	for (auto& kv : vp) {
		chmin(mn, kv.first + kv.second * t);
		chmax(mx, kv.first + kv.second * t);
	}
	return mx - mn;
}

vector<int> events(vector<Pii>& vp) {
	vector<int> dset[3];
	for (auto& kv : vp) {
		dset[kv.second + 1].push_back(kv.first);
	}
	FOR(i, 3) if (sz(dset[i]) == sz(vp)) return {};
	FOR(i, 3) {
		sort(dset[i].begin(), dset[i].end());
		if (sz(dset[i]) > 2) {
			swap(dset[i][1], dset[i].back());
			dset[i].resize(2);
		}
	}

	vector<int> ret;
	FOR(i, 3) for (int j = i + 1; j < 3; j++) {
		for (auto& a : dset[i]) for (auto b : dset[j]) {
			if (a < b) continue;
			int time = (a - b) / (j - i);
			ret.push_back(time);
		}
	}

	return ret;
}

int main() {
	int n; reader(n);
	// double coords
	vector<tuple<int, int, char>> vp;
	FOR(i, n) {
		int a, b; char s[2];
		reader(a, b, s);
		vp.emplace_back(a * 2, b * 2, s[0]);
	}

	vector<Pii> in1;
	for (auto& abc : vp) {
		int a, b; char x; tie(a, b, x) = abc;
		int d = 0;
		if (x == 'U') d = 1;
		else if (x == 'D') d = -1;
		in1.emplace_back(b, d);
	}
	vector<int> time1 = events(in1);

	vector<Pii> in2;
	for (auto& abc : vp) {
		int a, b; char x; tie(a, b, x) = abc;
		int d = 0;
		if (x == 'R') d = 1;
		else if (x == 'L') d = -1;
		in2.emplace_back(a, d);
	}
	vector<int> time2 = events(in2);

	vector<int> ev = { 0 };
	for (auto x : time1)ev.push_back(x);
	for (auto x : time2)ev.push_back(x);

	ll ans = (ll)1e18;
	for (auto x : ev) {
		ll a = ftime(in1, x);
		ll b = ftime(in2, x);
		chmin(ans, a* b);
	}

	double ansd = ans;
	ansd /= 4;
	
	printf("%.10lf\n", ansd);

	return 0;
}


Measured memory_bytes: 4084