#include <bits/stdc++.h>
#include <limits>

using namespace std;
 
vector <pair<long,long> > v;

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


long long divide(long long st,long long dr)
{
    long long m, dist_min;

    if(dr-st<=3)
    {
        long long dist = std::numeric_limits<long long>::infinity();
        for(int i=st;i<=dr;i++)
        {
            for(int j=i+1;j<=dr;j++)
            {
                dist = min(dist,get_distance(v[i],v[j]));
            }
        }
        return dist;
    }

    m = st + (dr - st) / 2;

    dist_min = min(divide(st,m),divide(m,dr));

    vector  < pair<long,long> > band;
    for(int i=st;i<=dr;i++)
    {
        if(abs(v[m].first-v[i].first)<dist_min)
        {
            band.push_back({v[i].second,v[i].first});
        }
    }

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

    for(int i=0;i<band.size();i++)
    {
        for(int j=i+1;j<band.size() &&  j < i + 8;j++)
        {
                long long dist;
                dist = get_distance(band[i],band[j]);
                if(dist < dist_min)
                {
                    dist_min = dist;
                }
            }
    }
    return dist_min;
}
int main()
{
    ifstream fin("cmap.in");
    ofstream fout("cmap.out");

    int n;
    long long x,y,dist_min;

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

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

    dist_min = divide(0,n-1);

    fout<<fixed<<setprecision(6)<<sqrt((double)dist_min);
    fin.close();
    fout.close();
    return 0;
}