#include <fstream>
#include <algorithm>
#include <cmath>
#include <iomanip>
#define int64 long long
using namespace std;

const int maxN=1e5+2;
const double INF=1e10;

int n;
pair<int64,int64> v[maxN];
pair<int64,int64> aux[maxN];

double getDist(pair<int64,int64> a,pair<int64,int64> b){
    return sqrt((a.first-b.first)*(a.first-b.first)+(a.second-b.second)*(a.second-b.second));
}

void mergeHalves(int st,int mij,int dr){
    int idx1=st;
    int idx2=mij+1;
    int sz=0;

    while(idx1<=mij && idx2<=dr){
        if(v[idx1].second<v[idx2].second){
            aux[++sz]=v[idx1];
            idx1++;
        } else {
            aux[++sz]=v[idx2];
            idx2++;
        }
    }

    while(idx1<=mij){
        aux[++sz]=v[idx1];
        idx1++;
    }

    while(idx2<=dr){
        aux[++sz]=v[idx2];
        idx2++;
    }

    for(int i=1;i<=sz;i++){
        v[st+i-1]=aux[i];
    }
}

double divimp(int st,int dr){
    if(st>=dr){
        return INF;
    }
    
    if(dr-st==1){
        mergeHalves(st,st,dr);
        return getDist(v[st],v[dr]);
    }

    int mij=(st+dr)/2;
    double midX=v[mij].first;

    double leftDist=divimp(st,mij);
    double rightDist=divimp(mij+1,dr);
    double res=min(leftDist,rightDist);

    mergeHalves(st,mij,dr);

    int sz=0;
    for(int i=st;i<=dr;i++){
        if(abs(v[i].first-midX)<=res){
            aux[++sz]=v[i];
        }
    }

    for(int i=1;i<=sz;i++){
        for(int j=i-1;j>0;j--){
            res=min(res,getDist(aux[i],aux[j]));
        }
    }

    return res;
}

int main(){
    ifstream f("cmap.in");
    ofstream g("cmap.out");

    f>>n;
    for(int i=1;i<=n;i++){
        f>>v[i].first>>v[i].second;
    }

    sort(v+1,v+n+1);
    //g<<sqrt(divimp(1,n));
    g<<fixed<<setprecision(6)<<divimp(1,n);

    return 0;
}