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

using namespace std;

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

bool compByX(const pair<int,int> &P1,const pair<int,int> &P2)
{
    return P1.first < P2.first;
}

bool compByY(const pair<int,int> &P1,const pair<int,int> &P2)
{
    return P1.second < P2.second;
}

vector< pair<int, int> > Points;

long long divideClosPoints(long left,long right)
{
    if(right - left == 1)
        return returnDist(Points[left], Points[right]);

    if(right - left == 2)
        return min(returnDist(Points[left], Points[left+1]),
            min(returnDist(Points[left+1], Points[right]),
                returnDist(Points[left], Points[right])));

    long middle = (left + right) / 2;
    long long dLeft = divideClosPoints(left, middle);
    long long dRight = divideClosPoints(middle + 1, right);

    long long d = min(dLeft, dRight);

    long i, j;

    vector< pair<int, int> > verticalSec;

    auto delta = ceil( sqrt(d) );

    for(i = left ; i <= right; i++)
    {
        if( abs(Points[i].first - Points[middle].first) <= delta)
           verticalSec.push_back(Points[i]);
    }
    sort(verticalSec.begin(),verticalSec.end(),compByY);

    long long sizeV = verticalSec.size();

    for(i = 0; i < sizeV ; i++)
        for(j = i + 1; j <= i + 7 && j < sizeV ; j++)
        {
            d = min(d, returnDist(verticalSec[i],verticalSec[j]) );
        }
    return d;
}

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

    pair<int, int> P;
    fileRead >> nrPoints;

    for(i = 0 ; i < nrPoints; i++)
    {
        fileRead >> P.first >> P.second;
        Points.push_back(P);
    }
    sort(Points.begin(),Points.end(),compByX);
    fileWrite << fixed << setprecision(6) << sqrt(divideClosPoints(0,Points.size() - 1));

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