bool DBG = false;
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
//#include <boost/multiprecision/cpp_dec_float.hpp>
//#include <boost/multiprecision/cpp_int.hpp>
using namespace std;
using ll = long long;
using ld = long double;
//using i128 = __int128_t;
//using bint = boost::multiprecision::cpp_int
//using d1024 = boost::multiprecision::number<mp::cpp_dec_float<1024>>;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define IFOR(i,a,b) for(int i=(b-1);i>=(a);--i)
#define RPT(i,a,b) for(int i=(a);i<((a)+(b));++i)
#define IRPT(i,a,b) for(int i=((a)+(b)-1);i>=(a);--i)
#define ALL(x) x.begin(),x.end()
#define RALL(x) x.rbegin(),x.rend()
#define fs first
#define sd second
#define couts(x) cout << (x) << (" ")
#define coutn(x) cout << (x) << ("\n")
#define dcouts(x) if(DBG) couts(x)
#define dcoutn(x) if(DBG) coutn(x)
#define endl "\n"
#define psb push_back
#define ppb pop_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define LBIT(x,a) (((x)>>(a))&1LL)
#define IBIT(x,a) (((x)>>(a))&1)
#define BCOUNT(x) (__builtin_popcount(x))
template<typename T> std::istream &operator>>(std::istream &is, std::vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
template<typename T1, typename T2> std::istream &operator>>(std::istream &is, std::pair<T1,T2> &p){is >> p.first >> p.second; return is; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::deque<T> &vec){ os << "deque["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> std::ostream &operator<<(std::ostream &os, const std::map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> std::ostream &operator<<(std::ostream &os, const std::unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }

template<class T> using V = vector<T>;
template<class T> using V2 = V<V<T>>;
template<class T> using V3 = V<V2<T>>;
template<class T> using V4 = V<V3<T>>;

constexpr ll LINF = 1LL << 55;
constexpr ll mod = 1'000'000'007;


void solve(){
  int n; cin >> n;
  V< pair<pair<ll,ll>, pair<int,int>> > p(n);
  FOR(i,0,n){
    ll x, y; char c; cin >> x >> y >> c;
    p[i].fs.fs = x;
    p[i].fs.sd = y;
    if(c=='R') p[i].sd.fs = 1;
    else if(c=='L') p[i].sd.fs = -1;
    else if(c=='U') p[i].sd.sd = 1;
    else p[i].sd.sd = -1;
  }
  auto f = [&](ld t){
    ld LDMAX = 1e100;
    ld xmax = -LDMAX, xmin = LDMAX, ymax = -LDMAX, ymin = LDMAX;
    FOR(i,0,n){
      ld x, y;
      x = p[i].fs.fs + t * p[i].sd.fs;
      y = p[i].fs.sd + t * p[i].sd.sd;
      xmin = min(x, xmin);
      xmax = max(x, xmax);
      ymin = min(y, ymin);
      ymax = max(y, ymax);
    }
    return (ymax-ymin)*(xmax-xmin);
  };
  ld tl = -1e10, tr = 1e10, tml, tmr;tl = 0;
  FOR(i,0,150){
    tmr = (2*tr+tl)/3;
    tml = (tr+2*tl)/3;
    ld f_r = f(tmr), f_l = f(tml);
    if(f_r>f_l) tr = tmr;
    else tl = tml;
    //couts(tl); couts(tr); couts(f_l); coutn(f_r);
  }
  tl = max<ld>(0, tl);
  coutn( f(tl) );
}

int main(void){
  std::cout << std::fixed << std::setprecision(20);
  cin.tie(0);
  ios::sync_with_stdio(false);
  solve();
  return 0;
}



Measured memory_bytes: 2560