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

using namespace std;

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

struct pct
{
    int x, y;
}a[100001];
int i, j, n;
double dmin = 1999999999;

bool cmp(pct a, pct b)
{
    if (a.x < b.x)
        return 1;
    return 0;
}

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

int main()
{
    f >> n;
    for (i = 1; i <= n; i++)
        f >> a[i].x >> a[i].y;
    sort (a+1, a+n+1, cmp);
    for (i = 3; i <= n; i++)
    {
        j = i-1;
        while (a[i].x - a[j].x < dmin && j >= 1)
            dmin = min( dmin, dist(a[i], a[j]) ), j--;
    }

    g << fixed << setprecision(6) << dmin;
    return 0;
}