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

using namespace std;

const int MAX_N = 100005;
const long long INFINIT = 4e18;

vector < pair <long long, long long> > verticalSection(MAX_N), PointsOX, PointsOY;

long long distEuclid(const pair <long long, long long>& a, const pair <long long, long long>& b)
{
    return (a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second);
}

long long retClosPoint(int left, int right)
{
    if (left >= right - 1)
        return INFINIT;
    else
    if (right - left == 2)
    {
        if (PointsOY[left] > PointsOY[left + 1])
            swap(PointsOY[left], PointsOY[left + 1]);
        return distEuclid(PointsOX[left], PointsOX[left + 1]);
    }

    int mid = (left + right) / 2;
    long long dist = min(retClosPoint(left, mid), retClosPoint(mid, right));

    merge(PointsOY.begin() + left, PointsOY.begin() + mid, PointsOY.begin() + mid, PointsOY.begin() + right, verticalSection.begin());
    copy(verticalSection.begin(), verticalSection.begin() + (right - left), PointsOY.begin() + left);

    int vSize = 0;
    for (int i = left; i < right; i++ )
        if (abs(PointsOY[i].second - PointsOX[mid].first) <= dist)
            verticalSection[vSize ++] = PointsOY[i];

    for (int i = 0; i < vSize - 1; i ++)
    {
        for (int j = i + 1; j < vSize && j - i < 8; j ++)
            dist = min(dist, distEuclid(verticalSection[i], verticalSection[j]));
    }
    return dist;
}

int main()
{
    int nrPoints;
    ifstream fin("cmap.in");
    ofstream fout("cmap.out");
    fin >> nrPoints;

    PointsOX.resize(nrPoints), PointsOY.resize(nrPoints);
    for (int i = 0; i < PointsOX.size(); ++ i)
        fin >> PointsOX[i].first >> PointsOX[i].second;
    fin.close();

    sort(PointsOX.begin(), PointsOX.end());
    for (int i = 0; i < PointsOX.size(); ++ i)
        PointsOY[i] = make_pair(PointsOX[i].second, PointsOX[i].first);


    fout << fixed << setprecision(6) << sqrt(retClosPoint(0,PointsOX.size())) << "\n";
    fout.close();
    return 0;
}