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


using namespace std;

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

int n;

pair <long long, long long> v[100010], w[100010], q[100010];

long long dist (pair <long long, long long> x, pair <long long, long long> y){
    return (x.first - y.first)*(x.first - y.first) + (x.second - y.second)*(x.second - y.second);
}

void interclasare(int st, int mid, int dr) {
    int i = st;
    int j = mid + 1;
    int k = 0;
    while (i <= mid && j <= dr)
        if (v[i].second < v[j].second)
            w[++k] = v[i++];
        else
            w[++k] = v[j++];
    for(;i<=mid;i++)
        w[++k] = v[i];
    for(;j<=dr;j++)
        w[++k] = v[j];
    for(k=1, i=st; i<=dr; i++, k++)
        v[i] = w[k];
}

long long jas (int st, int dr){
    long long r = 0;
    if(dr - st == 1) {
        r = dist (v[st], v[dr]);
        interclasare (st, st, dr);
        return r;
    }
    if(dr - st == 2) {
        r = min (dist(v[st], v[st+1]), min(dist(v[st+1], v[dr]), dist(v[st], v[dr])));
        interclasare(st, st, st+1);
        interclasare(st, st+1, dr);
        return r;
    }
    int mid = (st + dr)/2;
    long long sol1 = jas (st, mid);
    long long sol2 = jas (mid+1, dr);
    interclasare (st, mid, dr);
    long long minim = min (sol1, sol2);
    int m = 0;
    for (int i=st; i<=dr; i++)
        if (abs (v[mid].first - v[i].first) <= minim)
          q[++m] = v[i];
    for(int i=1; i<m; i++)
        for(int j=i+1; j<=m && j<=i+7; j++)
            minim = min (minim, dist(q[i], q[j]));
    return minim;
}

int main(){
    fin >> n;
    for(int i=1; i<=n; i++)
        fin >> v[i].first >> v[i].second;
    sort (v + 1, v + n + 1);
    fout << setprecision(7) << fixed << (double)sqrt(jas(1,n));
    return 0;
}