#include <bits/stdc++.h>

using namespace std;

const long long inf=1e18;
struct punct
{
    int x,y;
} v[100010],v1[100010];

int cmp1(punct a,punct b)
{
    return a.x<b.x;
}

int cmp2(punct a,punct b)
{
    return a.y<b.y;
}

long long sqr(int x)
{
    return 1LL*x*x;
}

long long dist(punct a,punct b)
{
    return sqr(a.x-b.x)+sqr(a.y-b.y);
}

long long solve(int st,int dr)
{
    if(st>=dr) return inf;
    if(st+1==dr)
    {
        if(cmp2(v[dr],v[st])) swap(v[st],v[dr]);
        return dist(v[st],v[dr]);
    }
    int mid=(st+dr)/2,midx=v[mid].x;
    long long sol=min(solve(st,mid),solve(mid+1,dr));
    merge(v+st,v+mid+1,v+mid+1,v+dr+1,v1+st,cmp2);
    int nr=0;
    for(int i=st; i<=dr; i++)
    {
        v[i]=v1[i];
        if(sqr(v1[i].x-midx)<=sol) v1[++nr]=v1[i];
    }
    for(int i=1; i<=nr; i++)
        for(int j=i+1; j<=nr && sqr(v1[i].y-v1[j].y)<=sol; j++) sol=min(sol,dist(v1[i],v1[j]));
    return sol;
}

int main()
{
    freopen("cmap.in", "r",stdin);
    freopen("cmap.out", "w", stdout);
    int n;
    scanf("%d",&n);
    for(int i=1; i<=n; i++) scanf("%d%d",&v[i].x,&v[i].y);
    sort(v+1,v+1+n,cmp1);
    printf("%.9f",sqrt(solve(1,n)));
    return 0;
}