#include <fstream>
#include <algorithm>
#include <vector>
#include <iomanip>
#include <cmath>

using namespace std;
ifstream fin("cmap.in");
ofstream fout("cmap.out");

struct punct
{
    long long x,y;
};

bool cmp_x(punct A,punct B)
{
    return A.x<B.x;
}

bool cmp_y(punct A,punct B)
{
    return A.y<B.y;
}

long long calc_dist(punct A,punct B)
{
    return (A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y);
}

long long search_dist_min(vector<punct> &P,int left,int right)
{
    long long mn=calc_dist(P[left],P[left+1]);
    for(int i=left; i<right; i++)
        for(int j=i+1; j<=right; j++)
            {
                //fout<<P[i].x<<" "<<P[i].y<<" "<<P[j].x<<" "<<P[j].y<<" "<<calc_dist(P[i],P[j])<<"\n";
                if(calc_dist(P[i],P[j])<mn) mn=calc_dist(P[i],P[j]);
            }
    return mn;
}

long long sol(vector<punct> &P,int left,int right)
{
    if(right-left<=3)
        return search_dist_min(P,left,right);

    int mid=(right+left)/2;
    long long dist_left=sol(P,left,mid);
    long long dist_right=sol(P,mid+1,right);
    long long  dist_min=min(dist_left,dist_right);

    long long val=P[mid].x;
    vector<punct>pct_closest;

    for(int i=left; i<=right; i++)
        if(abs(P[i].x-val)<dist_min)
            pct_closest.push_back(P[i]);
    sort(pct_closest.begin(),pct_closest.end(),cmp_y);

    if(pct_closest.size()>=8)
        {
            for(int i=0; i<=(int)pct_closest.size()-8;  i++)
                for(int j=i+1; j<=i+7; j++)
                    dist_min=min(calc_dist(pct_closest[i],pct_closest[j]),dist_min);
        }
    else
        {
            for(int j=1; j<(int)pct_closest.size(); j++)
                dist_min=min(calc_dist(pct_closest[0],pct_closest[j]),dist_min);
        }

    return dist_min;
}

int main()
{
    vector<punct>pct;
    int n;
    fin>>n;
    for(int i=0; i<n; i++)
        {
            punct p;
            fin>>p.x>>p.y;
            pct.push_back(p);
        }

    sort(pct.begin(),pct.end(),cmp_x);
    fout<<fixed<<setprecision(6)<<(sqrt((long double)sol(pct,0,n-1)));

    return 0;

}