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

using namespace std;

ifstream fin("cmap.in");
ofstream fout("cmap.out");

struct point {
	double x, y;
};

int p;
vector<point>v;
double a, b;

double dist(point a, point b)
{
	return (sqrt((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y)));
}

bool cmpX(point a, point b)
{
	if (a.x == b.x)
		return a.y < b.y;
	return a.x < b.x;
}

bool cmpY(point a, point b)
{
	if (a.y == b.y)
		return a.x < b.x;
	return a.y < b.y;
}

double bruteDistance(vector<point> v)
{
	double d = 2000000000;
	for (int i = 0; i < v.size() - 1; i++)
		for (int j = i + 1; j < v.size(); j++)
			d = min(d, dist(v[i], v[j]));
	return d;
}

double calculateStrip(vector<point> strip, double d)
{
	sort(strip.begin(), strip.end(), cmpY);
	double mi = 2000000000;
	for (int i = 0; i < strip.size() - 1; i++)
		for (int j = i + 1; j < strip.size() && (abs(strip[j].y - strip[i].y) < mi); j++)
			mi = min(mi, dist(strip[i], strip[j]));
	return mi;
}

double closest(vector<point> v)
{
	int n = v.size()-1;
	if (n <= 3)
		return bruteDistance(v);
	int mid = n / 2;
	vector<point>st(v.begin(), v.begin() + mid - 1);
	vector<point>dr(v.begin() + mid, v.end());
	double dLeft = closest(st);
	double dRight = closest(dr);
	double d = min(dLeft, dRight);
	vector<point>strip;
	point Middle(v[mid]);
	for (int i = 0; i < v.size(); i++)
		if (abs(Middle.x - v[i].x) < d)
			strip.push_back(v[i]);
	return min(d, calculateStrip(strip, d));
}

double closestDistance(vector<point> v)
{
	sort(v.begin(), v.end(), cmpX);
	return closest(v);
}

void read()
{
	fin >> p;
	while (p--)
	{
		point temp;
		fin >> temp.x >> temp.y;
		v.push_back(temp);
	}
}

void solve()
{
	fout << setprecision(12) << fixed << closestDistance(v) << "\n";
}


int main()
{
	read();
	solve();
	return 0;
}