#include <iostream>
#include<fstream>
#include<cmath>
#include<algorithm>
#include<climits>
#include<iomanip>
using namespace std;
ifstream f("cmap.in");
ofstream g("cmap.out");
struct punct
{
    long long a, b;
};
punct x[100001], y[100001], aux[100001];
bool crit(punct aa, punct bb)
{
    return ((aa.a < bb.a) || (aa.a == bb.a && aa.b < bb.b));
}
double dist(punct aa, punct bb)
{
    return (aa.a - bb.a) * (aa.a - bb.a) + (aa.b - bb.b) * (aa.b - bb.b);
}
long long solutie(int st, int dr, punct *X, punct *Y)
{
    if(st >= dr - 1)
        return LLONG_MAX;
    if(dr - st == 2)
    {
        if(!crit(Y[st] , Y[st + 1]))
            swap(Y[st], Y[st + 1]);
        return dist(X[st], X[st + 1]);
    }
    int m = (dr + st) / 2;
    double minim = min(solutie(st, m, X, Y), solutie(m, dr, X, Y));
    merge(Y + st, Y + m, Y + m, Y + dr, aux, crit);
    copy(aux, aux + (dr - st), Y + st);
    int it = 0;
    for(int i = st; i < dr; i++) if(abs(Y[i].b - X[m].a) <= minim)
            aux[it ++] = Y[i];
    for(int i = 0; i < it; i++)
    {
        for(int j = i + 1; j < it && j - i < 8; j++)
            minim = min(minim, dist(aux[i], aux[j]));
    }
    return minim;
}
int main()
{
    int n;
    f >> n;
    for(int i = 0; i < n; i++)
        f >> x[i].a >> x[i].b;
    sort(x, x + n, crit);
    for(int i = 0; i < n; i++)
    {
        y[i].a = x[i].b;
        y[i].b = x[i].a;
    }
    g << fixed << setprecision(6) << sqrt(solutie(0, n - 1, x, y));
    return 0;
}