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

#define endl '\n'
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define test cout<<"test"<<endl;
#define fi first
#define se second
#define MP make_pair
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD = 1e9+7;
//const ll MOD = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T>
void chmin(T &a,T b){if(a>b)a=b;}
template<typename T>
void chmax(T &a,T b){if(a<b)a=b;}
void pmod(ll &a,ll b){a=(a+b)%MOD;}
void pmod(ll &a,ll b,ll c){a=(b+c)%MOD;}
void qmod(ll &a,ll b){a=(a*b)%MOD;}
void qmod(ll &a,ll b,ll c){a=(b*c)%MOD;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>
void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>
void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++)
{for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>
void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];
for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>
vector<vector<T>>vec(ll x, ll y, T w){
  vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,0,-1,0,1,1,-1,-1};
vector<ll>dy={0,1,0,-1,1,-1,1,-1};
template<typename T>
vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>
auto make_v(size_t a,Ts... ts){
  return vector<decltype(make_v(ts...))>(a,make_v(ts...));
}
ostream &operator<<(ostream &os, pair<ll, ll>&p){
  return os << p.first << " " << p.second;
}  
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout<<fixed<<setprecision(10);
  ll res=0,buf=0;
  bool judge = true;
  ld xmi=INF,xmx=-INF,ymi=INF,ymx=-INF;
  ld Rxmi=INF,Lxmx=-INF,Uymi=INF,Dymx=-INF;
  ld Lxmi=INF,Rxmx=-INF,Dymi=INF,Uymx=-INF;
  ll n;cin>>n;
  rep(i,0,n){
    char d;
    ld x,y;cin>>x>>y>>d;
    if(d=='R'){
      chmin(ymi,y);
      chmax(ymx,y);
      chmin(Rxmi,x);
      chmax(Rxmx,x);
    }
    if(d=='L'){
      chmin(ymi,y);
      chmax(ymx,y);
      chmin(Lxmi,x);
      chmax(Lxmx,x);
    }
    if(d=='U'){
      chmin(xmi,x);
      chmax(xmx,x);
      chmin(Uymi,y);
      chmax(Uymx,y);
    }
    if(d=='D'){
      chmin(xmi,x);
      chmax(xmx,x);
      chmin(Dymi,y);
      chmax(Dymx,y);
    }
  }
  auto fx=[&](ld t){
    ld mi=min({-t+Lxmi,xmi,t+Rxmi});
    ld mx=max({t+Rxmx,xmx,-t+Lxmx});
    return fabs(mx-mi);
  };
  auto fy=[&](ld t){
    ld mi=min({-t+Dymi,ymi,t+Uymi});
    ld mx=max({t+Uymx,ymx,-t+Dymx});
    return fabs(mx-mi);
  };
  auto fxy=[&](ld t){
    if(t<0)return (ld)1e18;
    else return fx(t)*fy(t);
  };
  vector<ld>p;
  p.PB(0);
  p.PB(fabs(Rxmi-Lxmi)/2);
  p.PB(fabs(Rxmx-Lxmx)/2);
  p.PB(fabs(Dymx-Uymx)/2);
  p.PB(fabs(Uymx-Dymx)/2);
  p.PB(fabs(Dymi-ymi));
  p.PB(fabs(Uymi-ymi));
  p.PB(fabs(Dymx-ymx));
  p.PB(fabs(Uymx-ymx));
  p.PB(fabs(Rxmx-xmx));
  p.PB(fabs(Lxmx-xmx));
  p.PB(fabs(Rxmi-xmi));
  p.PB(fabs(Lxmi-xmi));
  p.PB(1e15);
  sort(ALL(p));
  ld ret=fxy(p.back());
  rep(i,0,(ll)p.size()-1){
    if(p[i]>1e18)continue;
    chmin(ret,fxy(p[i]));
    ld l=p[i],r=p[i+1];
    ll cnt=0;
    while(r-l>=1e-11&&cnt<=100000){
      ld x=l*2/3+r/3;
      ld y=l/3+r*2/3;
      if(fxy(x)<fxy(y))y=r;
      else l=x;
      chmin(ret,fxy(x));
      chmin(ret,fxy(y));
      cnt++;
    }
    chmin(ret,fxy(l));
    chmin(ret,fxy(r));
  }
  rep(i,0,1e5){
    chmin(ret,fxy(i));
    chmin(ret,fxy(i+0.5));
  }
  cout<<ret<<endl;
  return 0;
}

Measured memory_bytes: 384