#include <bits/stdc++.h>
#define x first
#define y second
#define DIM 100010
using namespace std;
ifstream fin("cmap.in");
ofstream fout("cmap.out");
long long n,i;
pair<long long,long long> v[DIM],w[DIM],q[DIM];
long long dist(pair<long long,long long> a,pair<long long,long long> b) {
    return (a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y);
}
void interclasare(int st,int mid,int dr) {
    int i=st, j=mid+1, k=0;
    while (i<=mid&&j<=dr) {
        if (v[i].y<v[j].y)
            w[++k]=v[i++];
        else
            w[++k]=v[j++];
    }
    for (;i<=mid;i++)
        w[++k]=v[i];
    for (;j<=dr;j++)
        w[++k]=v[j];
    for (k=1,i=st;i<=dr;i++,k++)
        v[i]=w[k];
}
long long solve(int st,int dr) {
    long long r=0;
    if (dr-st==1) {
        r=dist(v[st],v[dr]);
        interclasare(st,st,dr);
        return r;
    }
    else if (dr-st==2) {
        r=min(dist(v[st],v[dr]),min(dist(v[st],v[st+1]),dist(v[st+1],v[dr])));
        interclasare(st,st,st+1);
        interclasare(st,st+1,dr);
        return r;
    }
    int mid=(st+dr)/2;
    long long sol1=solve(st,mid);
    long long sol2=solve(mid+1,dr);
    interclasare(st,mid,dr);
    long long minim=min(sol1,sol2);
    int m=0;
    for (int i=st;i<=dr;i++)
        if (abs(v[mid].x-v[i].x)<=minim)
            q[++m]=v[i];
    for (int i=1;i<m;i++)
        for (int j=i+1;j<=m&&j<=i+7;j++)
            minim=min(minim,dist(q[i],q[j]));
    return minim;
}
int main() {
    fin>>n;
    for (i=1;i<=n;i++)
        fin>>v[i].x>>v[i].y;
    sort(v+1,v+n+1);
    fout<<setprecision(7)<<fixed<<(double)sqrt(solve(1,n));
    return 0;
}