#include <iostream>
#include <fstream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <iomanip>

using namespace std;

ifstream f("cmap.in.txt");
ofstream g("cmap.out.txt");

struct punct
{
    int x,y;
};

long long distanta(punct p1, punct p2)
{
    return pow((p1.x-p2.x),2)+pow((p1.y-p2.y),2);
}
bool comparX(punct p1,punct p2)
{
    return p1.x<p2.x;
}
bool comparY(punct p1,punct p2)
{
    return p1.y<p2.y;
}
long long DistantaMinima(vector<punct> &v,int stg,int dr)
{
   int mijloc=(stg+dr)/2;
   long long dist,distdr,diststg,delta;
   int i,j;
   vector<punct> temp;
   if(dr-stg==1)
   {
        return distanta(v[stg],v[dr]);
   }
   if(dr-stg==2)
   {
       long long dist1,dist2,dist3;
       dist1=distanta(v[stg],v[dr]);
       dist2=distanta(v[stg+1],v[dr]);
       dist3=distanta(v[stg],v[stg+1]);
       return min(dist1,min(dist2,dist3));
   }
   diststg=DistantaMinima(v,stg,mijloc);
   distdr=DistantaMinima(v,mijloc+1,dr);
   dist=min(diststg,distdr);
   delta=(int) ceil(sqrt(dist));
   for(i=stg;i<=dr;i++)
   {
        if(abs(v[i].x-v[mijloc].x)<=delta)
        {
           temp.push_back(v[i]);
        }
   }
    sort(temp.begin(),temp.end(),comparY);
    for(i=0; i<temp.size(); i++)
    {
        for(j=i+1; j<=i+7 && j<temp.size(); j++)
        {
            dist=min(dist,distanta(temp[i],temp[j]));
        }
    }
    return dist;
}
int main()
{
    int n,i,x,y;
    vector<punct> v;
    punct p;
    f>>n;
    for(i=0;i<n;i++)
    {
        f>>p.x>>p.y;
        v.push_back(p);
    }
    sort(v.begin(),v.end(),comparX);
    g<<fixed<<setprecision(6)<<sqrt(DistantaMinima(v,0,n-1));
    f.close();
    g.close();
    return 0;
}