#include <iostream>
#include <fstream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <iomanip>
#include <climits>
using namespace std;
ifstream f("cmap.in");
ofstream g("cmap.out");
const long long inf=9e18;
const int Max_N=100005;
vector<pair<long long,long long>> temp(Max_N);
long long distanta(const pair<long long,long long> &p1,const pair<long long,long long> &p2)
{
return (long long)(p1.first-p2.first)*(p1.first-p2.first)+(long long)(p1.second-p2.second)*(p1.second-p2.second);
}
bool ComparX(const pair<long long,long long> &p1,const pair<long long,long long> &p2)
{
return p1.first<p2.first;
}
long long distantaMinima(vector<pair<long long,long long>> &v,vector<pair<long long,long long>> &y,int stg,int dr)
{
if(stg>=dr-1)
return inf;
if(dr-stg==2)
{
if(y[stg].first>y[stg+1].first)
swap(y[stg],y[stg+1]);
return distanta( v[stg],v[stg+1]);
}
int mijloc=(stg+dr)/2;
long long dist,d1,d2,delta;
int i,j;
d1=distantaMinima(v,y,mijloc,dr);
d2=distantaMinima(v,y,stg,mijloc);
dist=min(d1,d2);
delta=(int) ceil(sqrt(dist));
merge(y.begin()+stg, y.begin()+mijloc, y.begin()+mijloc, y.begin()+dr, temp.begin());
copy(temp.begin(), temp.begin() + (dr - stg), y.begin() + stg);
int temp_size=0;
for(i=stg;i<=dr;i++)
if(abs(y[i].second-v[mijloc].first)<=delta)
temp[temp_size++]=y[i];
for(i=0;i<temp_size-1;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;
long long x,y;
vector<pair<long long,long long> > v,z;
f>>n;
for(i=0;i<n;i++)
{
f>>x>>y;
v.push_back(make_pair(x,y));
}
sort(v.begin(),v.end(),ComparX);
for(i=0;i<n;i++)
z.push_back(make_pair(v[i].second,v[i].first));
g<<fixed<<setprecision(6)<<sqrt(distantaMinima(v,z,0,n-1))<<"\n";
f.close();
g.close();
return 0;
}