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


using namespace std;

ifstream f("cmap.in");
ofstream g("cmap.out");

#define Nmax 100100

struct point{
    int x, y;
}v[Nmax],w[Nmax];

int n;

bool cmp_x (point a, point b){
    return a.x < b.x;
}

bool cmp_y(point a, point b){
    return a.y < b.y;
}

long long dist ( point a, point b){
    long long difx = 1LL * (a.x - b.x );
    long long dify = 1LL * ( a.y - b.y );

    return  difx * difx + dify * dify ;
}

//int coord_x1,coord_y1,coord_x2,coord_y2;
//long long dmin=Nmax;
long long divide ( int left, int right){
    if( right - left == 1){//2 puncte
        /*if(dist( v[left], v[right] )<dmin){
            coord_x1=v[left].x;
            coord_y1=v[left].y;
            coord_x2=v[right].x;
            coord_y2=v[right].y;
        }*/
        return dist( v[left], v[right] );
    }
    if ( right-left == 2 ){//3 puncte
        //return min(dist(v[left], v[left+1]),min(dist(v[left+1], v[right]),dist(v[left], v[right])));
        long long x,y,z;
        x=dist(v[left], v[left+1]);
        y=dist(v[left+1], v[right]);
        z=dist(v[left], v[right]);
        if((x<y)&&(x<z)){
            /*if(x<dmin){
                coord_x1=v[left].x;
                coord_y1=v[left].y;
                coord_x2=v[left+1].x;
                coord_y2=v[left+1].y;
            }*/
            return x;
        }
        if((y<x)&&(y<z)){
            /*if(y<dmin){
                coord_x1=v[left+1].x;
                coord_y1=v[left+1].y;
                coord_x2=v[right].x;
                coord_y2=v[right].y;
            }*/
            return y;
        }
         if((z<x)&&(z<y)){
            /*if(z<dmin)
            coord_x1=v[left].x;
            coord_y1=v[left].y;
            coord_x2=v[right].x;
            coord_y2=v[right].y;*/
            return z;
        }
    }

    int m=( left + right ) / 2;
    long long d1 = divide ( left, m ) ;
    long long d2 = divide ( m+1, right ) ;
    long long d = min( d1, d2);
    int i,j,k=0;
    long long delta = ceil(sqrt(d));
    for( i = left; i <= right; i++){
        if( abs( v[i].x - v[m].x ) <= delta ){
            w[k].x = v[i].x;
            w[k].y = v[i].y;
            k++;
        }
    }

    sort(w,w+k,cmp_y);

    for(i = 0;i < k ; i++)
        for(j = i + 1 ; j <= (i+7) && j < k; j++){
            if(dist(w[i],w[j])<d){
                /*coord_x1=w[i].x;
                coord_y1=w[i].y;
                coord_x2=w[j].x;
                coord_y2=w[j].y;*/
                d=dist(w[i],w[j]);
            }
            //d=min(d,dist(w[i],w[j]))
        }
    return d;
}

int main(){
    int n;
    f>>n;
    for (int i =0;i<n;i++)
        f>>v[i].x>>v[i].y;
    sort(v,v+n,cmp_x);
    g<<fixed<<setprecision(6)<<sqrt(divide(0,n-1));
    f.close();
    g.close();
    /*g<<coord_x1<<" "<<coord_y1<<endl;
    g<<coord_x2<<" "<<coord_y2<<endl;*/
    return 0;
}