#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
ll sqr(ll x) {
	return x * x;
}
struct point {
	int x, y;
	ll sqrdist(const point &that) {
		return sqr(x - that.x) + sqr(y - that.y);
	}
};
const ll INF = 1e16;
vector<point>p;
int n;
bool xcmp(const point &a, const point &b) {
	return a.x < b.x;
}
bool ycmp(const point &a, const point &b) {
	return a.y < b.y;
}
ll closest_pair(int st, int dr) {
	ll res = INF;
	if (dr - st + 1 <= 3) {
		for (int i = st; i <= dr; ++i) {
			for (int j = i + 1; j <= dr; ++j) {
				res = min(res, p[i].sqrdist(p[j]));
			}
		}
		return res;
	}
	int mid = (st + dr) / 2;
	res = min(closest_pair(st, mid), closest_pair(mid + 1, dr));
	vector<point>useful;
	for (int i = st; i <= dr; ++i) {
		ll horizontal = sqr(abs(p[mid].x - p[i].x));
		if (horizontal < res) {
			useful.push_back(p[i]);
		}
	}
	sort(useful.begin(), useful.end(), ycmp);
	for (int i = 0; i < useful.size(); ++i) {
		auto a = useful[i];
		for (int j = i + 1; j < useful.size() && j - i + 1 <= 8; ++j) {
			auto b = useful[j];
			res = min(res, a.sqrdist(b));
		}
	}
	return res;
}

int main() {
	freopen("cmap.in", "r", stdin);
	freopen("cmap.out", "w", stdout);

	cin >> n;
	p = vector<point>(n);
	for (int i = 0; i < n; ++i)
		cin >> p[i].x >> p[i].y;
	sort(p.begin(), p.end(), xcmp);
	long double answer = sqrt((long double)closest_pair(0, n - 1));
	cout << fixed << setprecision(7) << answer;
	return 0;
}