#include<stdio.h>
#include<stdlib.h>
#include<math.h>
#include<algorithm>
#define Nmax 100010
#define Inf 1<<30
using namespace std;
struct punct { int x, y;}  v[Nmax],w[Nmax];
int n;

int cmp (punct a, punct b)
{
	if(a.x==b.x) return a.y<b.y;
	return a.x<b.x;
}

double dist ( punct a, punct b)
{
	double difx=a.x-b.x;
	double dify=a.y-b.y;
	
	return sqrt ( difx*difx + dify*dify ) ;
}


double divide ( int st, int dr)
{
	if ( dr-st < 3 )
	{
		double D, Dmin=Inf;
		int i, j;
		
		for(i=st;i<dr;i++)
			for(j=i+1;j<=dr;j++)
			{
				D=dist(v[i],v[j]);
				if(D<Dmin) Dmin=D;
			}
		return Dmin;
	}
	
	
	int m=(st+dr)>>1;
	int d=v[m].x;
	
	double S1 = divide ( st, m ) ;
	double S2 = divide ( m+1, dr ) ; 
	
	double S = S1;
	if(S2<S1) S=S2;
	
	int i,j=m+1,k=0;
	
	for(i=st;i<=m;i++)
		if( abs(v[i].x-dr) <= S ) break;
		
	while( i <= m && j <= dr && abs(v[j].x-d) <= S )
		if( v[i].y < v[j].x ) w[++k]=v[i++];
		else 				  w[++k]=v[j++];
		
	while ( i <= m ) w[++k]=v[i++];
	while ( j <= dr && abs(v[j].x-d) <= S ) w[++k]=v[j++];
	
	double D, Dmin=Inf;
	
	for(i=1;i<k;i++)
		for(j=i+1; j<=k; j++)
		{
			D=dist(w[i],w[j]);
			if(D<Dmin) Dmin=D;
		}
	if(Dmin>S) Dmin=S;

	return Dmin;
}

int main()
{
	freopen("cmap.in","r",stdin);
	freopen("cmap.out","w",stdout);
	
	scanf("%d",&n);
	
	for(int i=1;i<=n;i++)
		scanf("%d %d",&v[i].x,&v[i].y);
	
	sort(v+1,v+n+1,cmp);
	
	printf("%0.6lf",divide(1,n));
	
	return 0;
}