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

using namespace std;

const double INF = 4e18;

vector<pair<long long, long long> > Points;
vector<pair<long long, long long> > PointsOY;

long long returnDist(pair<long long, long long>& P1,pair<long long, long long>& P2)
{
    return   (P2.first - P1.first) *  (P2.first - P1.first) +
             (P2.second - P1.second) * (P2.second - P1.second);
}


long long divideClosPoints(long long left, long long right)
{
    if( left >= right -1)
        return INF;
    else if(right - left == 2)
    {
        if(PointsOY[left].second > PointsOY[left + 1].second)
            swap(PointsOY[left],PointsOY[left + 1]);
        return returnDist(Points[left], Points[left + 1]);
    }

    long long middle = (left + right) / 2;
    long long dLeft = divideClosPoints(left, middle);
    long long dRight = divideClosPoints(middle, right);

    long long d = min(dLeft, dRight);
    long i, j;

    vector< pair<long long, long long> > sol;

    merge(PointsOY.begin() + left, PointsOY.begin() + middle, PointsOY.begin() + middle, PointsOY.begin() + right, sol.begin());
    copy(sol.begin(), sol.begin() + (right - left), PointsOY.begin() + left);


    int k = 0;
    for(i = left; i < right; ++i)
    {
        if(abs(PointsOY[i].first - Points[middle].first) <= d)
            sol[k++] = PointsOY[i];
    }

    for(i = 0; i < k - 1 ; ++i)
        for(j = i + 1; j - i < 8 && j < k ; ++j)
        {
            d = min(d, returnDist(sol[i],sol[j]));
        }
    return d;
}


int main()
{
    ifstream fileRead("cmap.in");
    ofstream fileWrite("cmap.out");
    long long nrPoints, i;

    long long x, y;

    fileRead >> nrPoints;

    for(i = 0 ; i < nrPoints; i++)
    {
        fileRead >> x >> y;
        Points.push_back(make_pair(x,y));
        PointsOY.push_back(make_pair(x,y));
    }

    sort(Points.begin(),Points.end());
    fileWrite << fixed << setprecision(6) << sqrt(divideClosPoints(0,nrPoints - 1));

    fileRead.close();
    fileWrite.close();
}