#include <bits/stdc++.h>
using namespace std;
ifstream in("cmap.in");
ofstream out("cmap.out");
int n;
pair <int,int> v[100001],inv[100001],vec[100001];
double dist(pair <int,int> a,pair<int,int> b)
{
    return sqrt(1LL*(a.first-b.first)*(a.first-b.first)+1LL*(a.second-b.second)*(a.second-b.second));
}
double solve(int st,int dr)
{
    if(dr-st==1)
        return dist(v[st],v[st+1]);
    if(dr-st==2)
        return min(min(dist(v[st],v[st+1]),dist(v[st+1],v[st+2])),dist(v[st],v[st+2]));
    int mij=(st+dr)/2;
    double delta=min(solve(st,mij),solve(mij+1,dr));
    sort(inv+st,inv+dr+1);
    int cnt=0;
    for(int i=st;i<=dr;i++)
        if(inv[i].second>=v[mij].first-delta&&inv[i].second<=v[mij].first+delta)
            vec[++cnt]=inv[i];
    for(int i=1;i<=cnt;i++)
        for(int j=i+1;j<=min(i+2,cnt);j++)
            delta=min(delta,dist(vec[i],vec[j]));
    return delta;
}
int main()
{
    int i;
    in>>n;
    for(i=1;i<=n;i++)
        in>>v[i].first>>v[i].second;
    sort(v+1,v+n+1);
    for(i=1;i<=n;i++)
        inv[i]={v[i].second,v[i].first};
    out<<fixed<<setprecision(8)<<solve(1,n);
    return 0;
}