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


using namespace std;

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



struct point{
    int x, y;
}v[100100],w[100100];

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 ;
}



long long divide ( int left, int right){
    if( right - left == 1){
        return dist( v[left], v[right] );
    }
    if ( right-left == 2 ){

        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)){
            return x;
        }
        if((y<=x)&&(y<=z)){
            return y;
        }
         if((z<=x)&&(z<=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){
                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();


    return 0;
}