#include <fstream>
#include <cmath>
#include <algorithm>
#include <iomanip>
#define nmax 100005
using namespace std;
ifstream f("rubarba.in");
ofstream g("rubarba.out");
int n,k;
long double sol=1LL*(1<<30)*(1<<30);
struct point{int x;int y;} p[nmax],s[nmax];
struct pointdouble{long double x;long double y;};


long long determinant(const point &a,const point &b,const point &c)
{
    return (1LL*b.x-a.x)*(c.y-a.y)-(1LL*c.x-a.x)*(b.y-a.y);
}
int sortcomp(const point &a,const point &b)
{
    return determinant(p[1],a,b)>0;
}
long double distanta(const point &a,const point &b)
{
    return sqrt(double((1ll*a.x-b.x)*(a.x-b.x)+(1ll*a.y-b.y)*(a.y-b.y)));
}
long double distantadouble(const pointdouble &a,const pointdouble &b)
{
    return sqrt(((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y)));
}

void solve(point a,point b)
{
    if (!(a.x<=b.x))
        swap(a,b);
    long double m,b1,b2,dist=0;
    m=(1.0*b.y-a.y)/(b.x-a.x);
    b1=1.0*(1.0*a.y*(b.x-a.x)-1.0*a.x*(b.y-a.y))/(b.x-a.x);

    pointdouble p,l,c,aux;
    l.x=a.x;l.y=a.y;
    c.x=b.x;c.y=b.y;

    for (int i=1;i<=k;i++)
        if ((s[i].x!=a.x||s[i].y!=a.y)&&(s[i].x!=b.x||s[i].y!=b.y)) {
            if (b.x==a.x) {
                p.x=a.x;
                p.y=s[i].y;
            }else
            if (b.y==a.y) {
                p.x=s[i].x;
                p.y=a.y;
            }else {
                b2=s[i].y+1.0*s[i].x/m;

                p.x=m*(1.0*b2-b1)/(m*m+1);
                p.y=m*p.x+b1;
            }
            aux.x=s[i].x;
            aux.y=s[i].y;
            dist=max(dist,distantadouble(aux,p));
            if (b.x!=a.x) {
                if (p.x>=c.x)
                    c=p;
                if (p.x<=l.x)
                    l=p;
            }
            else {
                c.y=max(c.y,p.y);
                l.y=min(l.y,p.y);
            }
        }
    sol=min(sol,dist*distantadouble(l,c));
}
int main()
{
    int i,j=1;
    f>>n;
    for (i=1;i<=n;i++) {
        f>>p[i].x>>p[i].y;
        if (p[i].y<=p[j].y||(p[i].y==p[j].y&&p[i].x<=p[j].x))
            j=i;
    }
    swap(p[1],p[j]);
    sort(p+2,p+n+1,sortcomp);
    for (i=1;i<=n;i++) {
        while (k>=2&&determinant(s[k-1],s[k],p[i])<=0)
            k--;
        s[++k]=p[i];
    }
    s[k+1]=p[1];
    for (i=1;i<=k;i++)
        solve(s[i],s[i+1]);
    g<<setprecision(2)<<fixed<<sol<<'\n';

    return 0;
}