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

#define NMAX 120000
using namespace std;

ifstream f("cmap.in");
ofstream g("cmap.out");

int n;

struct Punct {
    int x, y;
}p[NMAX];

double get_dist(Punct p1, Punct p2) {
    return (sqrt((p2.x - p1.x) * (p2.x - p1.x) + (p2.y - p1.y) * (p2.y - p1.y)));
}

bool cmp_points_y(Punct p1, Punct p2) {
    return (p1.y < p2.y ? false: true);
}

double bin_search(int left, int right) {
    if (right - left <= 4) {
        double d_min = get_dist(p[left], p[left + 1]);
        for (int i = left; i <= right; ++i) {
            for (int j = i + 1; j <= right; ++j) {
               d_min = min(d_min, get_dist(p[i], p[j]));
            }
        }
        return d_min;
    }

    int mij = (left + right) / 2;
    double d_min_left = bin_search(left, mij);
    double d_min_right = bin_search(mij + 1, right);

    double d_min = min(d_min_left, d_min_right);
    int left_pointer = left;
    int right_pointer = right;

    Punct *p_curent = new Punct[right - left + 1];
    int p_size = 0;

    while (left_pointer > 0) {
        if (get_dist(p[mij], p[left_pointer]) < d_min) {
            p_curent[p_size].x = p[left_pointer].x;
            p_curent[p_size].y = p[left_pointer].y;
            p_size ++;
        } else {
            break;
        }
    }
    while (right_pointer < n) {
        if (get_dist(p[mij], p[right_pointer]) < d_min) {
            p_curent[p_size].x = p[right_pointer].x;
            p_curent[p_size].y = p[right_pointer].y;
            p_size ++;
        } else {
            break;
        }
    }

    sort(p_curent, p_curent + p_size, cmp_points_y);
    for (int i = 0; i < p_size; ++i) {
        for (int j = 1; j < 9 && j + i < p_size; ++j) {
            d_min = min(d_min, get_dist(p_curent[i], p_curent[i + j]));
        }
    }

    return d_min;

}

bool cmp_points_x(Punct p1, Punct p2) {
    return (p1.x < p2.x ? false: true);
}

int main() {

    f >> n;
    for (int i = 0; i < n; ++i) {
        f >> p[i].x >> p[i].y;
    }

    sort(p, p + n, cmp_points_x);

    double d_min = bin_search(0, n - 1);
    g << fixed << setprecision(7) << d_min;

    return 0;
}