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#include <bits/stdc++.h>
#define x first
#define y second
#define INF 1000000000
using namespace std;
ifstream f("cmap.in");
ofstream g("cmap.out");
int n;
pair <int,int> a[100005];
set<pair<int,int>> v;
double distanta(pair <int, int > a,pair <int, int > b)
{
return sqrt(1LL*(a.x-b.x)*(a.x-b.x)+1LL*(a.y-b.y)*(a.y-b.y));
}
int i;
int limsus,limjos;
int main()
{
f>>n;
for(int i=1; i<=n; i++)
{
f>>a[i].x>>a[i].y;
}
sort(a+1,a+n+1);
double sol=2e9;
int ind=1;
for (i=1;i<=n;i++)
{
while (!v.empty()&&a[i].x-a[ind].x>=sol)
{
v.erase({a[ind].y,a[ind].y});
ind++;
}
limsus=a[ind].y+(int)sol;
limjos=a[ind].y-(int)sol;
set <pair <int,int > > ::iterator jos=v.lower_bound({limjos,1e9});
set <pair <int,int> > ::iterator sus=v.lower_bound({limsus,1e9});
for (set <pair<int,int> > ::iterator j=jos;j!=sus;j++)
{
pair <int,int> nr=*j;
swap(nr.x,nr.y);
double dist=distanta(nr,a[i]);
sol=min(sol,dist);
}
v.insert({a[i].y,a[i].x});
}
g<<setprecision(6)<<fixed;
g<<sol<<'\n';
return 0;
}