#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <algorithm>
#include <cmath>
#define X first
#define Y second

using namespace std;

typedef pair<long long, long long> point;
vector<point> points;

void read() {

    ifstream in("cmap.in");

    int n;
    long long x, y;

    for (in >> n; n; --n) {

        in >> x >> y;

        points.push_back(make_pair(x, y));
    }

    in.close();
}

bool compareY(const point &p1, const point &p2) {

    return (p1.Y <= p2.Y);
}

long long dist(const point& p1, const point &p2) {

    return (p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y);
}

long long bruteMinDist(int left, int right) {

    long long minValue = 0;

    for (int i = left; i < right; i++)
        for (int j = i + 1; j <= right; j++) {

            if (minValue == 0)
                minValue = dist(points[i], points[j]);
            else
                minValue = min(minValue, dist(points[i], points[j]));

        }

    return minValue;
}

long long stripMinDist(const vector<point>& strip, long long delta) {

    long long minDist = delta;

    for (unsigned int i = 0; i < strip.size(); i++)
        for (unsigned int j = i + 1; j < strip.size() && (strip[i].Y - strip[j].Y) * (strip[i].Y - strip[j].Y) <= delta; j++)
            minDist = min(minDist, dist(strip[i], strip[j]));

    return minDist;
}

long long mergeSort(int left, int right) {

    if (right - left <= 2) {

        sort(points.begin() + left, points.begin() + right + 1, compareY);
        return bruteMinDist(left, right);

    } else {

        int mid = left + (right - left) / 2;

        long long dist1 = mergeSort(left, mid);
        long long dist2 = mergeSort(mid + 1, right);
        long long delta = min(dist1, dist2);
        long long midX = points[mid].X;

        /** Merging the points **/
        vector<point> result;
        result.resize(right - left + 1);

        merge(points.begin() + left, points.begin() + mid + 1, points.begin() + mid + 1, points.begin() + right + 1, result.begin(), compareY);
        copy(result.begin(), result.end(), points.begin() + left);

        /** Building the strip **/

        vector<point> strip;

        for (int i = left; i <= right; i++)
            if ((midX - points[i].X) * (midX - points[i].X) <= delta)
                strip.push_back(points[i]);

        long long dist3 = stripMinDist(strip, delta);

        return min(delta, dist3);
    }
}

int main() {

    read();
    sort(points.begin(), points.end());

    long long minDist = mergeSort(0, points.size() - 1);

    ofstream out("cmap.out");
    out << fixed << setprecision(6) << sqrt(minDist) << "\n";
    out.close();

    return 0;
}