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

using namespace std;

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

struct Punct
{
    long double x, y;
    bool operator<(const Punct &re) const
    {
        return x < re.x;
    }
};

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

int main()
{
    int n, j;
    in >> n;
    vector<Punct> v(n+1);

    for (int i = 1; i <= n; i++)
    {
        in >> v[i].x >> v[i].y;
    }

    sort(v.begin(), v.end());

    long double minim, aux;
    minim = dist(v[1], v[2]);

    for (int i = 3; i <= n; i++)
    {
        j = i - 1;
        while (v[i].x - v[j].x < minim && j >= 1)
        {
            aux = dist(v[i], v[j]);
            if (minim > aux)
                minim = aux;
            j--;
        }
    }

    out << fixed << setprecision(6) << minim;
    return 0;
}