#include <cstdio>
#include <math.h>
#include <iomanip>
#include <algorithm>
#include <vector>
#include <utility>
using namespace std;

const int INF = (1<<30);
const int Nmax = 100000;
int n;
pair<int, int> puncte[Nmax];



void getData(){

    freopen("cmap.in","r",stdin);
    scanf("%d",&n);
    for (int i=0; i<n; ++i){
        int x,y;
        scanf("%d %d",&x, &y);
        puncte[i]=pair<int, int>(x,y);
    }

}


bool compAbs(const pair<int, int>& A, const pair<int, int>& B ){

    return (A.first < B.first);
}

bool compOrd(const pair<int, int>& A, const pair<int, int>& B) {

    return (A.second < B.second);
}

double distanta(const pair<int, int>&A, const pair<int, int>& B){

    int x = (A.first-B.first)*(A.first-B.first);
    int y = (A.second-B.second) * (A.second-B.second);
    return sqrt(1.0*x+1.0*y);
}

double divide(const int& st, const int& dr){

    if ( dr - st <=2){
        // sunt pe cazul |p| <=3, caut cea mai apropiata pereche;
        double dMin = INF;
        for (int i = st; i<dr; ++i){
            for (int j = i+1; j<=dr; ++j){

                double aux = distanta(puncte[i],puncte[j]);
                dMin = min(dMin, aux);
            }
        }
        //sortam submultimi dupa ordonata
        sort(puncte+st,puncte+dr+1,compOrd);
        return dMin;
    }else {
        int mij  = (st+dr)/2;

        vector< pair<int, int> > sir;

        double s1 = divide(st,mij);
        double s2 = divide (mij+1,dr);
        double dMin = min(s1,s2);

        int i = st, j = mij+1;

        //INTERCLASRE:

        while (i<=mij && j<=dr)
            if( compOrd(puncte[i],puncte[j])==true){
                sir.push_back(puncte[i]);
                ++i;
            }else{
                sir.push_back(puncte[j]);
                ++j;
            }
        while (i<=mij) {

            sir.push_back(puncte[i]);
            ++i;
        }

        while (j<=dr){
            sir.push_back(puncte[j]);
            ++j;
        }

        //Distanta:

        int sirSize = sir.size();

        for(int i=0; i<sirSize; ++i)

            for (int j=i+1; j<sirSize && (j-i)<8;++j){
                double d = distanta(sir[i],sir[j]);
                dMin = min(d,dMin);

            }
            sir.clear();

        return dMin;
    }
}

int main(){

getData();
sort(puncte, puncte+n, compAbs);
freopen("cmap.out","w",stdout);
double d = divide(0,n-1);
printf("%0.6f",d);
return 0;

}