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

using namespace std;


struct Point{
    long long x;
    long long y;
};

long long returnDist(Point& P1, Point& P2)
{
    return  (long long) (P2.x - P1.x) * (P2.x - P1.x) +
            (long long) (P2.y - P1.y) * (P2.y - P1.y);
}

int compByX(const Point& P1,const Point& P2)
{
    return P1.x < P2.x;
}

int compByY(const Point& P1,const Point& P2)
{
    return P1.y < P2.y;
}

vector<Point> 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 = (right - left)/2 + left;
    long long dLeft = divideClosPoints(left,middle);
    long long dRight = divideClosPoints(middle + 1, right);

    long long d = min(dLeft, dRight);

    long i, j;

    vector<Point> verticalSec;

    auto delta = ceil( sqrt(d) );

    for(i = left ; i <= right; i++)
    {
        if( abs(Points[i].x - Points[middle].x) <= 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;
    Point P;
    fileRead >> nrPoints;

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