#include <iostream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <cmath>
using namespace std;
ifstream f("cmap.in");
ofstream g("cmap.out");
const int NMAX = 100001;
const long long INF = 0x7FFFFFFFFFFFFFFFLL;

struct punct
{
    int x, y;
};

punct P[NMAX], tmp[NMAX];
int N;

bool compx(const punct& P1, const punct& P2)
{
    return P1.x < P2.x;
}

bool compy(const punct& P1, const punct& P2)
{
    return P1.y < P2.y;
}

inline long long sqr(const long long& x)
{
    return x * x;
}

inline long long dist2(const punct& P1, const punct& P2)
{
    return sqr(P1.x - P2.x) + sqr(P1.y - P2.y);
}

long long distmin(int st, int dr)
{
    long long dmin = INF;
    for(int i = st; i < dr; i++)
        for(int j = i + 1; j <= dr; j++)
        {
            long long dij = dist2(P[i], P[j]);
            if(dij < dmin)
                dmin = dij;
        }
    return dmin;
}

void interclas(const int& st, const int& M, const int& dr)
{
    int i = st;
    int j = M + 1;
    int k = st;
    for(; i <= M, j <= dr; k++)
        if(compy(P[i], P[j]))
            tmp[k] = P[i++];
        else
            tmp[k] = P[j++];
    while(i <= M)
        tmp[k++] = P[i++];
    while(j <= dr)
        tmp[k++] = P[j++];
}

long long calcDmin(int st, int dr)
{
    if(dr - st < 4)
    {
        sort(P + st, P + dr + 1, compy);
        return distmin(st, dr);
    }
    int M = (st + dr) / 2;
    int x = P[M].x;
    long long d = min(calcDmin(st, M), calcDmin(M, dr));
    interclas(st, M, dr);
    int k = 0;
    for(int i = st; i <= dr; i++)
    {P[i] = tmp[i];
        if(sqr(P[i].x - x) < d)
            tmp[++k] = P[i];

    }
    for(int i = 1; i < k; i++)
        for(int j = i + 1; j <= k && sqr(tmp[j].y - tmp[i].y) < d; j++)
        {
            long long dc = dist2(tmp[i], tmp[j]);
            if(dc < d)
                d = dc;
        }
    return d;
}

int main()
{
    f >> N;
    for(int i = 1; i <= N; i++)
        f >> P[i].x >> P[i].y;
    sort(P + 1, P + N + 1, compx);
    g << fixed << setprecision(6) << sqrt(calcDmin(1, N));
    return 0;
}