#include <iostream>
#include <fstream>
#include <cmath>
#include <cstdlib>
#include <climits>
#include <iomanip>

#define ll long long
#define ld long double

using namespace std;

ifstream fin("cmap.in");
ofstream fout("cmap.out");

const int M = 1e5+10;
const int inf = INT_MAX;

struct pont
{
    ld x, y;
};

int comparex(const void* a, const void* b)
{
    pont x1 = *(pont*)a;
    pont x2 = *(pont*)b;

    if(x1.x == x2.x)
        return x1.y - x2.y;
    return x1.x - x2.x;
}

int comparey(const void* a, const void* b)
{
    pont x1 = *(pont*)a;
    pont x2 = *(pont*)b;

    if(x1.y == x2.y)
        return x1.x - x2.x;
    return x1.y - x2.y;
}

ld dist(pont a, pont b)
{
    return sqrt((a.x - b.x)*(a.x - b.x) + (a.y - b.y)*(a.y - b.y));
}

int n;
pont pontok[M];
pont interv[M];

ld solve(int l, int r)
{
    if(l + 3 >= r)
    {
        ld res = inf;

        for(int i = l; i < r; ++i)
        {
            for(int j = i+1; j < r; ++j)
            {
                ld d = dist(pontok[i], pontok[j]);
                if(d < res)
                    res = d;
            }
        }
        return res;
    }

    int mid = (l + r)/2;

    ld res = min(solve(l, mid), solve(mid+1, r));

    int intervS = 0;
    for(int i = l; i < r; ++i)
        if(abs(pontok[i].x - pontok[mid].x) < res)
            interv[intervS++] = pontok[i];

    qsort(pontok, n, sizeof(pont), comparey);

    for(int i = 0; i < intervS; ++i)
    {
        for(int j = i+1; j < intervS && (interv[j].y - interv[i].y) < res; ++j)
        {
            ld d = dist(interv[i], interv[j]);
            if(d < res)
                res = d;
        }
    }

    return res;
}

int main()
{
    ios::sync_with_stdio(false);

    fin >> n;
    for(int i = 0; i < n; ++i)
        fin >> pontok[i].x >> pontok[i].y;

    qsort(pontok, n, sizeof(pont), comparex);


    fout << fixed << setprecision(6) << solve(0, n) << "\n";


    return 0;
}