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#include <fstream>
#include <algorithm>
#include <iomanip>
#include <cmath>
using namespace std;
ifstream fin("cmap.in");
ofstream fout("cmap.out");
typedef long double ll;
const int N=100000+5;
struct point
{
int x;
int y;
ll di;
};
ll p(int x)
{
return x*(long long)x;
}
ll d(point a,point b)
{
int dx=a.x-b.x;
int dy=a.y-b.y;
return p(dx)+p(dy);
}
int n,x=(1<<30),y=(1<<30);
point v[N];
bool cmp(point a,point b)
{
return a.di<b.di;
}
int main()
{
fin>>n;
for(int i=1;i<=n;i++)
{
fin>>v[i].x>>v[i].y;
if(v[i].x<x) x=v[i].x;
if(v[i].y<y) y=v[i].y;
}
for(int i=1;i<=n;i++)
{
v[i].di=d(v[i],{x,y});
}
sort(v+1,v+n+1,cmp);
int val=(int)1e7/n;
ll ans=(1LL<<60);
for(int i=1;i<=n;i++)
{
int dr=min(n,i+val);
for(int j=i+1;j<=dr;j++)
{
ans=min(ans,d(v[i],v[j]));
}
}
long double x=ans;
x=sqrt(x);
fout<<fixed<<setprecision(6)<<x<<"\n";
return 0;
}