#include <cstdio>
#include <algorithm>
#include <vector>
#include <cmath>

using namespace std;

struct point {
	long long x, y;
};

vector<point> points, ypoints, selectedpoints;

bool comp (const point a, const point b) {
	if (a.x < b.x)
		return 0;
	if (a.x > b.x)
		return 1;

	if (a.y < b.y)
		return 0;
	if (a.y > b.y)
		return 1;

	return 0;
}


long long euclid_distance(const point &a, const point &b) {
	return (a.x - b. x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}


long long min(long long a, long long b) {
	return a < b? a:b;
}



long long divide_et_impera(int left, int right) {
	if (right - left <= 2) {
        if (ypoints[left].x > ypoints[left + 1].x || (ypoints[left].x == ypoints[left + 1].x && ypoints[left].y > ypoints[left + 1].y)) {
            point aux = ypoints[left];
            ypoints[left] = ypoints[left + 1];
            ypoints[left + 1] = aux;
        }

		long long res = euclid_distance(points[left], points[right]);
		if (right - left == 1)
			return res;

		return min(res, min(euclid_distance(points[left], points[left + 1]), euclid_distance(points[left+1], points[right])));
	}

	long long left_res = divide_et_impera(left, (left + right) / 2);
	long long right_res = divide_et_impera((left + right) / 2 + 1, right);

	long long current_res = min(right_res, left_res);
	long long midx = points[(left + right) / 2].x;

    sort(ypoints.begin() + left, ypoints.begin() + right + 1, comp);
    int selectedpointsno = 0;
    for(int i = left; i<= right; ++i)
        if (abs(ypoints[i].y - midx) <= current_res)
            selectedpoints[selectedpointsno++] = ypoints[i];

    for(int i=0; i<selectedpointsno - 1; ++i)
        for(int j = i+1; j< selectedpointsno && j-i < 8; ++j)
					current_res = min(current_res, euclid_distance(selectedpoints[i], selectedpoints[j]));

	return current_res;
}


int main() {
	freopen("cmap.in", "r", stdin);
	freopen("cmap.out", "w", stdout);

	int n;
	scanf("%d", &n);
	points.resize(n);
    selectedpoints.resize(n);
	for(int i=0; i<n; ++i)
		scanf("%lld%lld", &points[i].x, &points[i].y);

	sort(points.begin(), points.end(), comp);
	ypoints.resize(n);
	for(int i=0; i<n; ++i) {
        ypoints[i].x = points[i].y;
        ypoints[i].y = points[i].x;
	}
	printf("%.6f\n", sqrt(divide_et_impera(0, n-1)));

	return 0;
}