#include <bits/stdc++.h>



using namespace std;

void citire (int &n, vector <pair<int, int>> &PCT)
{
    ifstream f("cmap.in");
    f >> n;
    for(int i = 0; i < n; i++)
    {
        int first, second;
        f >> first >> second;
        PCT.push_back (make_pair (first, second));
    }
    f.close();
}

double distanta (pair<int, int> A, pair<int, int> B)
{
    double a = A.first - B.first;
    double b = A.second - B.second;
    return sqrt(pow(a, 2) + pow(b, 2));
}

bool cmp1 (const pair<int, int> &A, const pair<int, int> &B)
{
    return A.first < B.first;
}
bool cmp2 (const pair<int, int> &A, const pair<int, int> &B)
{
    return A.second < B.second;
}

double di (int st, int dr, vector <pair<int, int>> &PCT, vector <pair<int, int>> &PCTsortateY)
{
    if(dr - st == 1)
        return INT_MAX;
    else if(dr - st == 2)
    {
        if (PCTsortateY[st].second > PCTsortateY[st + 1].second)
            swap(PCTsortateY[st], PCTsortateY[st + 1]);
        return distanta(PCT[0], PCT[1]);
    }

    int m = (st + dr) / 2;
    double dist = min (di(st, m, PCT, PCTsortateY), di(m, dr, PCT, PCTsortateY));

    vector<pair<int,int>> temp(dr - st);
    merge(PCTsortateY.begin() + st, PCTsortateY.begin() + m, PCTsortateY.begin() + m, PCTsortateY.begin() + dr, temp.begin(), cmp2);
    copy(temp.begin(), temp.begin() + (dr - st), PCTsortateY.begin() + st);

    vector<pair<int,int>> temp2;
    for(unsigned i = st; i < dr; i++)
        if(abs(PCTsortateY[i].first - PCT[m].first) <= dist)
            temp2.push_back(PCTsortateY[i]);

    for(unsigned i = 0; i < temp2.size(); i++)
        for(unsigned j = i + 1; j < temp2.size() && temp2[j].second - temp2[i].second <= dist; j++)
            dist = min(dist, distanta (temp2[i], temp2[j]));

    return dist;
}

int main()
{
    int n;
    vector <pair<int, int>> PCT;

    citire(n, PCT);
    sort(PCT.begin(), PCT.end(), cmp1);
    vector <pair<int, int>> PCTsortateY = PCT;

    ofstream g("cmap.out");
    g << fixed << setprecision(6) << di(0, n, PCT, PCTsortateY);
    g.close();

    return 0;
}