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

using namespace std;

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

const int N = 1e5 + 7;
const double INF = 1e10;

struct Point {
    double x, y;

    bool operator < (const Point &a) const {
        if (x == a.x)
            return y < a.y;
        return x < a.x;
    }
};

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

Point v[N];

struct Elm {
    int poz;

    bool operator < (const Elm &a) const {
        if (v[poz].y == v[a.poz].y)
            return poz < a.poz;
        return v[poz].y < v[a.poz].y;
    }
};

int main()
{
    int n;
    fin >> n;
    for (int i = 1; i <= n; ++i)
        fin >> v[i].x >> v[i].y;
    sort(v, v + n);
    int st(1);
    set < Elm > s;
    double mind(INF);
    for (int i = 1; i <= n; ++i) {
        while (s.size() && v[s.begin()->poz].x + mind <= v[i].x)
            s.erase(s.begin());
        v[i].y -= mind;
        auto top = s.lower_bound((Elm){i});
        v[i].y += 2 * mind;
        auto bottom = s.upper_bound((Elm){i});
        v[i].y -= mind;
        while (top != bottom)
            mind = min(mind, dist(v[i], v[top->poz])),
            top++;
        s.insert((Elm){i});
    }
    fout << fixed << setprecision(7);
    fout << mind;
    return 0;
}