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

using namespace std;

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

int n;
pair < int, int > V[100010];

class cmp
{
    public :
        bool operator () (const pair < int, int > &a, const pair < int, int > &b)
        {
            return (a.second < b.second);
        }
};

long long Modul(const long long &a)
{
	if (a < 0) return -a;
	return a;
}

long long Minim(const long long &a, const long long &b)
{
	if (a < b) return a;
	return b;
}

long long Euclid_Dist(const pair < int, int > &a, const pair < int, int > &b)
{
	return (a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second);
}


long long Solve(int left, int right)
{
	if (right - left == 1)
	{
		return Euclid_Dist(V[left], V[right]);
	}
	else if (right - left == 2)
	{
		return Minim(Euclid_Dist(V[left], V[left + 1]), Minim(Euclid_Dist(V[left], V[left + 2]), Euclid_Dist(V[left + 1], V[left + 2])));
	}
	
	int middle = (left + right) >> 1;
	long long d = Minim(Solve(left, middle), Solve(middle + 1, right));
	vector < pair < int, int > > A;
	for (int i = left; i <= right; i ++)
	{
		if (Modul(1LL * (V[i].first - V[middle].first)) <= d)
		{
			A.push_back(V[i]);
		}
	}
	sort(A.begin(), A.end(), cmp());
	for (int i = 0; i < A.size(); i ++)
	{
		for (int j = i + 1; j <= i + 10 && j < A.size(); j ++)
		{
			d = Minim(d, Euclid_Dist(A[i], A[j]));
		}
	}
	return d;
}

int main()
{
	fin >> n;
	for (int i = 1; i <= n; i ++) fin >> V[i].first >> V[i].second;
	sort(V + 1, V + 1 + n);
	
	fout << fixed << setprecision(6) << sqrt(Solve(1, n)) << '\n';
	return 0;
}