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

using namespace std;
  
  
#define x first
#define y second


typedef long long llong; 
typedef pair<llong,llong> Pair;
 
const int Nmax = 100010;
const llong oo = 1LL << 60;
int N;
Pair A[Nmax], B[Nmax];

bool cmpx( Pair a, Pair b ){

	if( a.x == b.x ) return a.y < b.y;
	return a.x < b.x;
	
}

bool cmpy( Pair a, Pair b ){

	if( a.y == b.y ) return a.x < b.x;
	return a.y < b.y;
	
}
llong square( llong a ){
	return a*a;
}

llong  distance1( Pair& a, Pair& b ){

	return square(a.x-b.x) + square(a.y-b.y);
	
}



void merge( int left, int mid, int right ){

	int i = left, j = mid+1;
	int k = 0;
	Pair V[Nmax];
	
	while( i <= mid && j <= right ){
	
		if( B[i].y < B[j].y ){
			V[k] = B[i];
			k++; i++;
		}
		
		else{
			V[k] = B[j];
			k++;j++;
			
		}
		//V[k++] = B[i++];
		//V[k++] = B[j++];
		
	}
	
	while( i <= mid ){
		V[k] = B[i];
		k++; i++;
	}
	
	while( j <= right ){
		V[k] = B[j];
		k++;j++;
	}
	
	
	for( int i = left, t=0 ; t<k; t++,i++ )
		B[i] = V[t];
		
}
		

llong go( int left, int right ){

	if( left >= right )
		return oo;
	if( right - left == 1){
		//llong min1 = distance1( A[left], A[left+1] );
		if( !cmpy(B[left], B[right]) ) 
			swap( B[left], B[right] );
		//for( int i = left; i <= right; i++ )
			//for( int j = i+1; j <=right; j++)
				//min1 = min( min1, distance1( A[i], A[j] ) );
		//sort( B+left, B+right+1, cmpy);
			
		return distance1( A[left], A[right] );
	}
	
	int mid = (left+right)/2;
	
	long long delta = min( go(left, mid), go(mid+1,right) );
	
	merge( left, mid, right );
	
	int k = 0;
	Pair V[Nmax];
	
	for( int i = left; i <= right; i++ )
		if( abs( B[i].x - A[mid].x ) <= delta ){
			V[k] = B[i];
			k++;
		}
			
	
	for( int i = 0; i < k; i++ )
		for( int j = i+1; j < k && j-i < 8; j++ )
			delta = min(delta, distance1( V[i], V[j] ) );
	
	return delta;
	
}
		
			
int main(){

	
	freopen( "cmap.in", "r", stdin );
	freopen( "cmap.out", "w", stdout );
	scanf("%d", &N );
	
	int x1,y1;
	
	for( int i = 0; i < N; i++ ){
		scanf("%d%d", &x1, &y1 );
		A[i] = make_pair( x1, y1 );
	}
	
	sort( A, A+N, cmpx );
	for( int i = 0; i < N; i++ )
		B[i] = A[i];
	
	llong rez = go( 0, N-1 );
	printf("%lf\n", sqrt( rez ) );
	
	return 0;
	
}