#include<iostream>
#include<fstream>
#include<ctime>
#include<cstdlib>
#include<cmath>
#include<iomanip>
typedef struct punct{
long long x;
long long y;
}P;
P v[100000],tmp, pct[100000];
int n;
using namespace std;
long long pivot(int left, int right)
{
long long p1,p2,p3,p,mini,maxi;
p1=v[left + rand() % (right-left+1)].x;
p2=v[left + rand() % (right-left+1)].x;
p3=v[left + rand() % (right-left+1)].x;
if(p1<=p2&&p1<=p3)
mini=p1;
if(p2<=p1&&p2<=p3)
mini=p2;
if(p3<=p1&&p3<=p2)
mini=p3;
if(p1>=p2&&p1>=p3)
maxi=p1;
if(p2>=p1&&p2>=p3)
maxi=p2;
if(p3>=p1&&p3>=p2)
maxi=p3;
p=p1+p2+p3-maxi-mini;
return p;
}
long long dist(P va[], int a, int b)
{
return ((va[b].x-va[a].x)*(va[b].x-va[a].x)+(va[b].y-va[a].y)*(va[b].y-va[a].y));
}
void quicksort( int left, int right)
{
int i=left, j=right;
long long piv, tmpo;
piv=pivot(left,right);
while(i<=j)
{
while(v[i].x<piv)
i++;
while(v[j].x>piv)
j--;
if(i<=j)
{
tmp=v[i];
v[i]=v[j];
v[j]=tmp;
if(v[i].x==v[j].x)
if(v[i].y>v[j].y){
tmpo=v[i].y;
v[i].y=v[j].y;
v[j].y=tmpo;
}
i++;
j--;
}
}
if(left<j)
quicksort(left,j);
if(i<right)
quicksort(i,right);
}
long long cmap(int left, int right)
{
long long a1, d, nr, nr1, nr2;
int t, k, a, b, c, mij, i, j;
if(left<=right)
{
if(left==right)
return 1000000;
if(right-left==1)
return dist(pct, left, right);
else if(right-left==2)
{
a=left;
b=left+1;
c=left+2;
nr=min(dist(pct, a,b),dist(pct, a,c));
nr=min(nr, dist(pct, b,c));
return nr;
}
else{
k=0;
mij=(left+right)/2;
nr1=cmap(left, mij);
nr2=cmap(mij, right);
nr=min(nr1,nr2);
for(i=0;i<n;i++){
if((abs(pct[i].x-pct[mij].x))<nr)
{v[k].x=pct[i].y;
v[k].y=pct[i].x;
k++;}
}
quicksort(0, k-1);
for(i=0;i<k;i++)
for(j=1;j<8;j++)
{
if(i+j<k)
d=dist(v, i,i+j);
if(d<nr)
nr=d;
}
}
}
return nr;
}
int main()
{
int i;
ifstream f("cmap.in");
ofstream g("cmap.out");
f>>n;
for(i=0;i<n;i++)
f>>pct[i].x>>pct[i].y;
quicksort(0,n-1);
g<<fixed<< setprecision(6) << sqrt(cmap(0,n-1));
}