#include<stdio.h>
#include<math.h>
#define Nmax 2005
#define eps -0.000001
int N,X[Nmax],Y[Nmax],N1,N2;
double X1[Nmax],Y1[Nmax],X2[Nmax],Y2[Nmax];
double ang[Nmax];
int main()
{
FILE *fin=fopen("camera.in","r"),
*fout=fopen("camera.out","w");
int i,j,k,Xmin=100000,Xmax=-100000,Ymin=100000,Ymax=-100000;
double gx,gy,aux;
gx=gy=0.0;
fscanf(fin,"%d",&N);
for(i=1;i<=N;i++)
{
fscanf(fin,"%d%d",&X[i],&Y[i]);
gx+=(double) X[i];
gy+=(double) Y[i];
}
/*
gx/=(double)N;
gy/=(double)N;
for(i=1;i<=N;i++)
ang[i] = atan2 ((double)Y[i] - gy, (double)X[i] - gx);
for(i=1;i<=N;i++)
fprintf(fout,"%.3f (%d %d)\n",ang[i],X[i],Y[i]);
//sort
for(i=1;i<=N;i++)
{
j=i;
while(j/2 && ang[j/2] < ang[j])
{
aux=ang[j/2], ang[j/2]=ang[j], ang[j]=aux;
X[j/2]^=X[j], X[j]^=X[j/2], X[j/2]^=X[j];
Y[j/2]^=Y[j], Y[j]^=Y[j/2], Y[j/2]^=Y[j];
j>>=1;
}
}
i=N;
while(i>1)
{
aux=ang[1], ang[1]=ang[i], ang[i]=aux;
X[1]^=X[i], X[i]^=X[1], X[1]^=X[i];
Y[1]^=Y[i], Y[i]^=Y[1], Y[1]^=Y[i];
i--;
j=1;
while(1)
{
k=j<<1;
if(k>i) break;
if(k+1 <= i && ang[k+1] > ang[k]) k++;
if(ang[j] >= ang[k]) break;
aux=ang[j], ang[j]=ang[k], ang[k]=aux;
X[j]^=X[k], X[k]^=X[j], X[j]^=X[k];
Y[j]^=Y[k], Y[k]^=Y[j], Y[j]^=Y[k];
j=k;
}
}
*/
//solve
for(i=1;i<=N;i++)
{
if(X[i] < Xmin) Xmin=X[i];
if(X[i] > Xmax) Xmax=X[i];
if(Y[i] < Ymin) Ymin=Y[i];
if(Y[i] > Ymax) Ymax=Y[i];
}
//init
N1=4;
X1[1]=(double)Xmin; Y1[1]=(double)Ymax;
X1[2]=(double)Xmin; Y1[2]=(double)Ymin;
X1[3]=(double)Xmax; Y1[3]=(double)Ymin;
X1[4]=(double)Xmax; Y1[4]=(double)Ymax;
X[N+1]=X[1],Y[N+1]=Y[1];
//aflare poligon intersectie
double Xi,Yi,A1,B1,C1,vc,vu,A2,B2,C2,det;
for(i=1;i<=N;i++)
{
A1=(double)Y[i+1] - Y[i];
B1=(double)X[i] - X[i+1];
C1=A1*X[i]+B1*Y[i];
//pentru a fi in interior -> <0
N2=0;
X1[N1+1]=X1[1]; Y1[N1+1]=Y1[1];
for(j=1;j<=N1;j++)
{
vc=A1*X1[j]+B1*Y1[j]-C1;
vu=A1*X1[j+1]+B1*Y1[j+1]-C1;
if(vc>=eps && vu>=eps)
{
X2[++N2]=X1[j];
Y2[N2]=Y1[j];
}
else
if(vc>=eps && vu < eps)
{
X2[++N2]=X1[j];
Y2[N2]=Y1[j];
if( vc > eps )
{//punctul de intersectie
A2=Y1[j+1]-Y1[j];
B2=X1[j]-X1[j+1];
C2=A2*X1[j] + B2*Y1[j];
det= A1*B2 - A2*B1;
Xi= (B2*C1 - B1*C2) / det;
Yi= (A1*C2 - A2*C1) / det;
X2[++N2]=Xi;
Y2[N2]=Yi;
}
}
else
if(vc <= eps && vu >= eps)
{//doar punctul de intersectie
A2=Y1[j+1]-Y1[j];
B2=X1[j]-X1[j+1];
C2=A2*X1[j] + B2*Y1[j];
det= A1*B2 - A2*B1;
Xi= (B2*C1 - B1*C2) / det;
Yi= (A1*C2 - A2*C1) / det;
X2[++N2]=Xi;
Y2[N2]=Yi;
}
}
N1=N2;
for(j=1;j<=N1;j++)
X1[j]=X2[j], Y1[j]=Y2[j];
}
// aria poligonului rezultat
double area=0.0;
for(i=2;i<N1;i++)
{
A1= X1[i] - X1[1];
B1= Y1[i] - Y1[1];
A2= X1[i+1] - X1[1];
B2= Y1[i+1] - Y1[1];
area+= A1*B2 - A2*B1;
}
if(area>0.0)
area /= 2.0;
else
area /= -2.0;
fprintf(fout,"%.2f\n",area);
fclose(fin);
fclose(fout);
return 0;
}