#include<fstream>
#include<algorithm>
#include<iomanip>
#include<cmath>
#define INF 2000000000
using namespace std;
int n,nry;
struct punct
{
    double x,y;
}v[100001],py[100001];
ifstream fin("cmap.in");
ofstream fout("cmap.out");

void citire()
{
    fin>>n;
    for(int i=1;i<=n;i++)
        fin>>v[i].x>>v[i].y;
}

int cmp(punct a,punct b)
{
    if(a.x==b.x)
    return a.y<b.y;

    return a.x<b.x;
}

inline double dist(punct a,punct b)
{
    return sqrt((a.x-b.x)*(a.x-b.x)*1.0+(a.y-b.y)*(a.y-b.y)*1.0);
}

int cmp2(punct a,punct b)
{
    return a.y<b.y;
}

double imparte(int p,int u)
{
    double dmin=INF*1.0;
    int mij;
    if(u-p+1<=3)
    {
        for(int i=p;i<u;i++)
            for(int j=i+1;j<=u;j++)
                dmin=min(dmin,dist(v[i],v[j]));
        return dmin;
    }
    mij=(p+u)/2;
    dmin=min(imparte(p,mij),imparte(mij+1,u));
    nry=0;
    for(int i=mij+1;i<=u && v[i].y-v[mij].y<=dmin+1.0;i++)
    {
        py[++nry].x=v[i].x;
        py[nry].y=v[i].y;
    }
    for(int i=mij;i>=p && v[mij].y-v[i].y<=dmin+1.0;i--)
    {
        py[++nry].x=v[i].x;
        py[nry].y=v[i].y;
    }
    sort(py+1,py+nry+1,cmp2);
    for(int i=1;i<=nry;i++)
    {
        for(int j=i+1;j<=nry && j<=i+8;j++)
        {
            dmin=min(dmin,dist(py[i],py[j]));
        }
    }
    return dmin;
}

int main()
{
    citire();
    sort(v+1,v+n+1,cmp);
    fout<<setprecision(6)<<fixed<<imparte(1,n);
    return 0;
}