#include<stdio.h>
#include<math.h>
#include<algorithm>
using namespace std;
#define inf 1000000000.0
#define nmax 1000002
struct point
{
	int x,y;
};
int n;
point v[nmax],aux[nmax];

double distp(point p1, point p2)
{
	return sqrt((double)((long long)((long long)p1.x-p2.x)*(p1.x-p2.x)+(long long)((long long)p1.y-p2.y)*(p1.y-p2.y)));
}

bool cmp(point p1, point p2)
{
	return p1.y<p2.y;
}

bool cmp2(point p1, point p2)
{
	return p1.x<p2.x;
}

double dist_min(int st, int dr)
{
	int m=(st+dr)>>1;
	if(st>=dr)
		return inf;
	if(st==dr-1)
	{
		if(v[st].y>v[dr].y)
		{
			point aux;
			aux=v[st];
			v[st]=v[dr];
			v[dr]=aux;
		}
		return distp(v[st],v[dr]);
	}
	int mij=v[m].x;
	double d1=dist_min(st,m);
	double d2=dist_min(m+1,dr);
	double d=min(d1,d2);
	int i1=st,i2=m+1,i=st-1;

	while(i1<=m && i2<=dr)
	{
		if(v[i1].y<=v[i2].y)
			aux[++i]=v[i1++];
		else
			aux[++i]=v[i2++];
	}
	for(;i1<=m;i1++)
		aux[++i]=v[i1];
	for(;i2<=dr;i2++)
		aux[++i]=v[i2];
	
	int nr=0;
	for(i=st;i<=dr;i++)
	{
		v[i]=aux[i];
		if(abs(v[i].x-mij)<=d)
			aux[++nr]=v[i];
	}
	
	double mini=inf;
	int j;
	for(i=1;i<=nr;i++)
		for(j=i-1;j>=i-6 && j;j--)
			mini=min(mini,distp(aux[i],aux[j]));

	return min(mini,d);
}

int main()
{
	freopen("cmap.in","r",stdin);
	freopen("cmap.out","w",stdout);
	scanf("%d",&n);
	int i;
	for(i=1;i<=n;i++)
		scanf("%d%d",&v[i].x,&v[i].y);
	sort(v+1,v+n+1,cmp2);
	double sol=dist_min(1,n);
	printf("%lf\n",sol);
	return 0;
}