#include <iostream>
#include <fstream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <iomanip>
using namespace std;
ifstream fin("cmap.in");
ofstream fout("cmap.out");
long long dist(pair<int,int> p1, pair<int,int> p2)
{
    return (long long)(p1.first-p2.first)*(p1.first-p2.first)+(long long)(p1.second-p2.second)*(p1.second-p2.second);
}
bool CmpX(pair<int,int>p1,pair<int,int>p2)
{ return p1.first<p2.first;
}
bool CmpY(pair<int,int>p1,pair<int,int>p2)
{ return p1.second<p2.second;
}
long long minDistance(vector<pair<int,int> > &v,vector<pair<int,int> > &y,int st,int dr)
{  if(dr-st==1)
        return dist(v[st],v[dr]);
   if(dr-st==2)
   {
       long long d1,d2,d3;
       d1=dist(v[st],v[dr]);
       d2=dist(v[st+1],v[dr]);
       d3=dist(v[st],v[st+1]);
       return min(d1,min(d2,d3));
   }
   int m=(st+dr)/2;
   long long d,d1,d2,delta;
   int i,j;
   d1=minDistance(v,y,m+1,dr);
   d2=minDistance(v,y,st,m);
   d=min(d1,d2);
    delta=(int) ceil(sqrt(d));
   vector<pair<int,int> > temp;

   merge(y.begin() + st, y.begin() + m, y.begin() + m, y.begin() + dr, v.begin());
   copy(v.begin(), v.begin() + (dr - st), y.begin() + st);

   for(i=st;i<=dr;i++)
        if(abs(y[i].second-v[m].first)<=delta)
           temp.push_back(v[i]);
    for(i=0;i<temp.size();i++)
        for(j=i+1;j<=i+7 && j<temp.size();j++)
            d=min(d,dist(temp[i],temp[j]));
 return d;
}
int main()
{   int n,i,x,y;
    vector<pair<int,int> > v,z;
    fin>>n;
    for(i=0;i<n;i++)
    {
        fin>>x>>y;
        v.push_back(make_pair(x,y));
        z.push_back(make_pair(y,x));
    }
    sort(v.begin(),v.end(),CmpX);
    sort(z.begin(),z.end(),CmpY);

    fout<<fixed<<setprecision(6)<<sqrt(minDistance(v,z,0,n-1));
    fin.close();
    fout.close();
    return 0;
}