#include <iostream>
#include <fstream>
#include <algorithm>
#include <vector>
#include <cmath>
#include <iomanip>
#include <climits>
using namespace std;

typedef long long ll;
typedef pair < ll, ll > point;
point points[100001], strip[100001];
point aux[100001];
int n, n_strip;

void read() {

 ifstream in("cmap.in");
 ll x, y;
 in >> n;
 for (int i = 1; i <= n; ++i) {

  in >> x >> y;
  points[i] = make_pair(x, y);
 }
 in.close();
}

bool compareX(const point& f, const point& s) {

 if ((f.first < s.first) || (f.first == s.first && f.second < s.second))
  return true;
 return false;
}

bool compareY(const point& f, const point& s) {

 if ((f.second < s.second) || (f.second == s.second && f.first < s.first))
  return true;
 return false;
}

inline ll dist(const point& p1, const point& p2) {

 return (p1.first - p2.first) * (p1.first - p2.first) + (p1.second - p2.second) * (p1.second - p2.second);
}

ll brute_dist(point points[], int left, int right) {

 ll best_dist = LLONG_MAX;
 for (int i = left; i < right; i++)
  for (int j = i + 1; j <= right; j++)
   best_dist = min(best_dist, dist(points[i], points[j]));

 return best_dist;
}

ll min_dist_strip(ll d_min) {

 ll best_dist = d_min;

 for (int i = 1; i < n_strip; i++)
  for (int j = i + 1, k = 1; j <= n_strip && k <= 7; j++, k++)
   best_dist = min(best_dist, dist(strip[i], strip[j]));

 return best_dist;
}

void merge(int x1, int y1, int x2, int y2) {

 int k = 0;
 while (x1 <= y1 && x2 <= y2) {

  if (compareY(points[x1], points[x2]))
   aux[++k] = points[x1++];
  else
   aux[++k] = points[x2++];
 }
 while (x1 <= y1)
  aux[++k] = points[x1++];
 while (x2 <= y2)
  aux[++k] = points[x2++];
}

ll merge_sort(int left, int right) {

 if (right - left < 4) {

  sort(points + left, points + right + 1, compareY);
  return brute_dist(points, left, right);

 }

 int mid = left + (right - left) / 2;
 ll mid_x = points[mid].first;

 ll d1 = merge_sort(left, mid);
 ll d2 = merge_sort(mid + 1, right);
 ll delta = min(d1, d2);


 merge(left, mid, mid + 1, right);

 for (int i = left; i <= right; ++i)
  points[i] = aux[i - left + 1];


 n_strip = 0;

 for (int i = left; i <= right; i++)
  if (abs(points[i].first - mid_x) <= delta)
   strip[++n_strip] = points[i];
 ll d3 = min_dist_strip(delta);
 return min(delta, d3);
}

int main() {

 read();

 sort(points + 1, points + n + 1, compareX);

 ofstream out("cmap.out");
 out << fixed << setprecision(6) << sqrt(merge_sort(1, n)) << "\n";
 out.close();

 return 0;
}