#include <bits/stdc++.h>

using namespace std;

const int kMaxN = 100005;

int n;
pair <int, int> p[kMaxN];

double pointDist(const pair <int, int> &a, const pair <int, int> &b) {
   return sqrt(1.0 * (a.first - b.first) * (a.first - b.first) +
               1.0 * (a.second - b.second) * (a.second - b.second));
}

bool sortOrdinate(const pair <int, int> &a, const pair <int, int> &b) {
   if(a.second == b.second)
      return a.first < b.first;
   return a.second < b.second;
}

pair <double, vector <pair <int, int>>> findClosestPair(const int i, const int j) {
   if(i == j) return make_pair(1e16, vector <pair<int, int>>(1, p[i]));
   const int m = (i + j) / 2;
   pair <double, vector <pair <int, int>>> dpLeft = findClosestPair(i, m), dpRight = findClosestPair(m + 1, j);
   double dist = min(dpLeft.first, dpRight.first);
   vector <pair <int, int>> ySorted(dpLeft.second.size() + dpRight.second.size());
   merge(dpLeft.second.begin(), dpLeft.second.end(), dpRight.second.begin(), dpRight.second.end(), ySorted.begin(), sortOrdinate);
   vector <pair <int, int>> strip;
   for (const pair <int, int> &x: ySorted)
      if(abs(p[m].first - x.first) < dist)
         strip.push_back(x);
   for(int k = 0; k < strip.size(); k++)
      for(int q = 1; k + q < strip.size() && q < 8; q++)
         dist = min(dist, pointDist(strip[k], strip[k + q]));
   return make_pair(dist, ySorted);
}

int main() {
   freopen("cmap.in", "r", stdin);
   freopen("cmap.out", "w", stdout);
   scanf("%d", &n);
   for (int i = 1; i <= n; i++) scanf("%d %d", &p[i].first, &p[i].second);
   sort(p + 1, p + n + 1);
   printf("%f\n", findClosestPair(1, n).first);
   return 0;
}