复杂度大约是nloglog
//#include<bits/stdc++.h>
//#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<stdio.h>
#include<algorithm>
#include<queue>
#include<string.h>
#include<iostream>
#include<math.h>
#include<set>
#include<map>
#include<vector>
#include<iomanip>
#include<bitset>
using namespace std; //
#define ll long long
#define pb push_back
#define FOR(a) for(int i=1;i<=a;i++)
#define sqr(a) (a)*(a)
#define dis(a,b) sqrt(sqr(a.x-b.x)+sqr(a.y-b.y))
ll qp(ll a,ll b,ll mod){
ll t=1;while(b){if(b&1)t=t*a%mod;b>>=1;a=a*a%mod;}return t;
}
struct DOT{ll x;ll y;};
inline void read(int &x){int k=0;char f=1;char c=getchar();for(;!isdigit(c);c=getchar())if(c=='-')f=-1;for(;isdigit(c);c=getchar())k=k*10+c-'0';x=k*f;}
const int dx[4]={0,0,-1,1};
const int dy[4]={1,-1,0,0};
const int inf=0x3f3f3f3f;
const ll mod=1e9+7;
const int maxn=2e5+10;
int n;
struct NODE{
double x,y;
bool bel;
}a[maxn],tmp[maxn];
bool cmpx(NODE a,NODE b){return a.x<b.x;}
bool cmpy(NODE a,NODE b){return a.y<b.y;}
double make(int l,int r){
if(l==r)return 9e18;
int m=l+r>>1;
int cnt=0;
double ans=min(make(l,m),make(m+1,r));
for(int i=l;i<=r;i++){
if(fabs(a[i].x-a[m].x)<=ans)
tmp[++cnt]=a[i];
}
sort(tmp+1,tmp+1+cnt,cmpy);
for(int i=1;i<=cnt;i++){
for(int j=i+1;j<=cnt;j++){
if(tmp[j].y-tmp[i].y>ans)break;
if(tmp[i].bel==tmp[j].bel)continue;
ans=min(ans,dis(tmp[i],tmp[j]));
}
}
return ans;
}
int main(){
int T;scanf("%d",&T);
while(T--){
scanf("%d",&n);
for(int i=1;i<=n;i++){
scanf("%lf%lf",&a[i].x,&a[i].y);
a[i].bel=0;
}
for(int i=1+n;i<=n+n;i++){
scanf("%lf%lf",&a[i].x,&a[i].y);
a[i].bel=1;
}
sort(a+1,a+2*n+1,cmpx);
printf("%.3f\n",make(1,2*n));
}
}