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#include<fstream>
#include<iomanip>
#include<cstring>
#include<algorithm>
#include<cmath>
#define INF 100001
#define N 2010
#define eps 1e-6
using namespace std;
ifstream f("camera.in");
ofstream g("camera.out");
int n,i,ns,m,j,parte[N];
double a,b,c;
struct punct{double x,y;}p[N],sol[N],soln[N];
inline void coordonate(double &a, double &b, double &c, punct p1, punct p2){
a = p2.y - p1.y;
b = p1.x - p2.x;
c = p2.x * p1.y - p1.x * p2.y;
}
inline int afla_parte(punct p){
double ec = p.x * a + p.y * b + c;
if(ec < -eps)
return -1;
if(ec > eps)
return 1;
return 0;
}
inline double aria(punct p[], int n){
double a = 0;
for(i = 1 ; i <= n ; ++ i)
{
a += p[i].x * p[i + 1].y - p[i].y * p[i + 1].x;
}
return a;
}
inline punct punct_intersectie(punct p1 , punct p2){
double a1 , b1 , c1;
coordonate(a1 , b1 , c1 , p1 , p2);
double det = a * b1 - a1 * b;
return (punct){(b * c1 - b1 * c) / det , (a1 * c - c1 * a) /det };
}
int main()
{
f >> n;
for(i = 1 ; i <= n ; ++ i)
{
f >> p[i].x >> p[i].y ;
}
m = 4;
sol[1] = (punct){INF,INF};
sol[2] = (punct){-INF,INF};
sol[3] = (punct){-INF,-INF};
sol[4] = (punct){INF,-INF};
if(aria(p , n) > eps)
reverse(p + 1 , p + n + 1);
p[n + 1] = p[1];
for(i = 1 ; i <= n ; ++ i)
{
coordonate(a , b , c , p[i] , p[i + 1]);
sol[m + 1] = sol [1];
for(j = 1 ; j <= m + 1; ++ j)
parte[j] = afla_parte(sol[j]);
ns = 0;
for(j = 1 ; j <= m ; ++ j)
{
if(parte[j] >= 0 && parte[j + 1] >= 0)
soln [++ ns] = sol[j];
else
if(parte[j] >= 0)
soln[ ++ ns] = sol[j] , soln[++ ns] = punct_intersectie(sol[j] , sol[j + 1]);
else
if(parte[j + 1] >= 0)
soln[++ ns] = punct_intersectie(sol[j] , sol[j + 1]);
}
m = 1;
sol[1] = soln[1];
for(j = 2 ; j <= ns ; ++ j)
if(soln[j].x != sol[m].x || soln[j].y != sol[m].y)
sol[++ m] = soln[j];
// if(sol[m].x == sol[1].x && sol[m].y == sol[1].y)
// -- m;
}
sol[m + 1] = sol[1];
g << fixed << setprecision(2) << fabs(aria(sol , m) / 2) << '\n';
return 0;
}