#include <fstream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <iomanip>
#define DIM 100010

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

vector< pair<long long, long long> > P;
pair<long long, long long> R[DIM], Q[DIM];
int n, i, x, y;

inline long long modul(long long x) {
    return (x > 0 ? x : -x);
}

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

void interclasare(int st, int m, int dr) {
    int i = st, j = m+1, k = st-1;
    while (i<=m && j<=dr)
        if (P[i].second < P[j].second) {
            R[++k] = P[i++];
        } else {
            R[++k] = P[j++];
        }
    for (;i<=m;i++)
        R[++k] = P[i];
    for (;j<=dr;j++)
        R[++k] = P[j];

    for (i=st;i<=dr;i++)
        P[i] = R[i];
}

long long rec(int st, int dr) {
    long long r;
    if (dr-st == 1) {
        r = dist(P[st], P[dr]);
        interclasare(st, st, dr);
        return r;
    }
    if (dr - st == 2) {
        r = min(dist(P[st], P[st+1]), min(dist(P[st], P[st+2]), dist(P[st+1], P[st+2])));
        interclasare(st, st, st+1);
        interclasare(st, st+1, dr);
        return r;
    }
    int m = (st + dr)/2;
    long long rst = rec(st, m);
    long long rdr = rec(m+1, dr);

    interclasare(st, m, dr);


    long long minim = min(rst, rdr);

    int t = 0;
    for (int i=st; i<=dr;i++) {
        if (modul( P[m].first - P[i].first  ) <= minim) {
            Q[++t] = P[i];
        }
    }

    for (int i=1; i<t;i++) {
        for (int j = i+1; j<=t && j<=i+7; j++)
            minim = min(minim, dist(Q[i], Q[j]));
    }

    return minim;
}

int min(long long a, long long b) {
    return a < b ? a : b;
}

int main() {
    fin>>n;
    for (i=1;i<=n;i++) {
        fin>>x>>y;
        P.push_back(make_pair(x, y));
    }

    sort(P.begin(), P.end());

    fout<<setprecision(7)<<fixed<<(double)sqrt(rec(1, n))<<"\n";

    return 0;
}