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


#define INF		(4e18L)

#define x		first
#define y		second

typedef long long int64;
typedef std::pair<int64, int64> Point;


int64 distance(const Point& a, const Point &b)
{
	return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}

int64 cmap(const std::vector<Point> &points, std::vector<Point> &pointsY, int left, int right)
{
	if (right - left == 2) {
		if (pointsY[left] > pointsY[left+1]) {
			std::swap(pointsY[left], pointsY[left+1]);
		}
		return distance(points[left], points[left+1]);
	}
	if (right - left <= 1) {
		return INF;
	}
	
	int mid = (left + right) / 2;
	
	int64 minLeft = cmap(points, pointsY, left, mid);
	int64 minRight = cmap(points, pointsY, mid, right);
	
	int64 minDist = minLeft;
	if (minRight < minDist) minDist = minRight;
	
	std::vector<Point> cand(right - left);
	std::merge(pointsY.begin() + left, pointsY.begin() + mid, pointsY.begin() + mid, pointsY.begin() + right, cand.begin());
	std::copy(cand.begin(), cand.begin() + (right - left), pointsY.begin() + left);
	
	int el = 0;
	for (int i = left; i < right; ++ i) {
		if (abs(pointsY[i].y - points[mid].x) <= minDist) {
			cand[el++] = pointsY[i];
		}
	}
	
	for (int i = 0; i < el; ++ i) {
		for (int j = i+1; j < el && j - i < 8; ++ j) {
			int64 dist = distance(cand[i], cand[j]);
			if (minDist > dist) {
				minDist = dist;
			}
		}
	}
	
	return minDist;
}

int main (int argc, char const *argv[])
{	
	std::ifstream in("cmap.in");
	
	int N;
	in >> N;
		
	std::vector<Point> points(N);
	std::vector<Point> pointsY(N);
	for (int i = 0; i < N; ++ i) {
		int64 x, y;
		in >> x >> y;
		points[i].x = x;
		points[i].y = y;
	}
	
	in.close();
	
	std::sort(points.begin(), points.end(), [](const Point& a, const Point &b) {
		if (a.x == b.x)
			return a.y < b.y;
		return a.x < b.x;
	});
	int cnt = 0;
	for (auto &a : points) {
		pointsY[cnt].y = a.x;
		pointsY[cnt++].x = a.y;
	}
	
	std::ofstream out("cmap.out");
	
	out << std::fixed << std::setprecision(6) << sqrt(cmap(points, pointsY, 0, N)) << "\n";
	
	out.close();
	
	return 0;
}