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

using namespace std;

ifstream cin("cmap.in");
ofstream cout("cmap.out");

struct point {
	double x, y;
};

bool cmpX(point a, point b) {
	if (a.x > b.x) return 1;
	return 0;
}

bool cmpY(point a, point b) {
	if (a.y > b.y) return 1;
	return 0;
}

double twoPointsDistance(point a, point b){
	return sqrt(pow((a.x - b.x), 2) + pow((a.y - b.y), 2));
}

double minDistance(const vector <point> &pt, int left, int right) {

	int separator = (left + right) / 2;
	double delta = 2e9;

	if (right - left > 2)
		delta = min (minDistance(pt, left, separator), minDistance(pt, separator + 1, right));

	else  
		for(int i = left; i < right; ++i)
			for (int j = i + 1; j <= right; ++j) {

				double distance = twoPointsDistance(pt[i], pt[j]);
				if (distance < delta) delta = distance;

			}
	
	vector <point> eligiblePoints;
	for (int i = left; i <= right; ++i)
		if (abs(pt[i].x - pt[separator].x) < delta)
			eligiblePoints.push_back(pt[i]);

	sort(eligiblePoints.begin(), eligiblePoints.end(), cmpY);
	

	for (int i = 0; i < eligiblePoints.size(); ++i) 
		for (int j = i + 1; j < eligiblePoints.size() && j <= i + 7; ++j) 
			delta = min(delta, twoPointsDistance(eligiblePoints[i], eligiblePoints[j]));
		
		
	eligiblePoints.clear();
	return delta;
}


int main()
{
	int n;
	vector <point> pt;

	cin >> n;
	for (int i = 0; i < n; ++i) {
		point x;
		cin >> x.x >> x.y;
		pt.push_back(x);
	}
	sort(pt.begin(), pt.end(), cmpX);

	double minimumDistance = minDistance(pt, 0, n - 1);

	cout << fixed << setprecision(6) << minimumDistance;

}