#include <bits/stdc++.h>
using namespace std;

#define dump(n) cout<<"# "<<#n<<'='<<(n)<<endl
#define repi(i,a,b) for(int i=int(a);i<int(b);i++)
#define peri(i,a,b) for(int i=int(b);i-->int(a);)
#define rep(i,n) repi(i,0,n)
#define per(i,n) peri(i,0,n)
#define all(c) begin(c),end(c)
#define mp make_pair
#define mt make_tuple

typedef unsigned int uint;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<string> vs;

const int INF=1e9;
const int MOD=1e9+7;
const double EPS=1e-9;

template<typename T1,typename T2>
ostream& operator<<(ostream& os,const pair<T1,T2>& p){
	return os<<'('<<p.first<<','<<p.second<<')';
}
template<typename T>
ostream& operator<<(ostream& os,const vector<T>& a){
	os<<'[';
	rep(i,a.size()) os<<(i?" ":"")<<a[i];
	return os<<']';
}

int Signum(double x){
	return x<-EPS?-1:x>EPS?1:0;
}

struct Point{
	double x,y;
	Point(){}
	Point(double x,double y):x(x),y(y){}
	Point& operator+=(Point p){
		x+=p.x,y+=p.y;
		return *this;
	}
	Point& operator-=(Point p){
		x-=p.x,y-=p.y;
		return *this;
	}
	Point& operator*=(double c){
		x*=c,y*=c;
		return *this;
	}
	Point& operator/=(double c){
		x/=c,y/=c;
		return *this;
	}
};
Point operator+(Point a,Point b){
	return a+=b;
}
Point operator-(Point a,Point b){
	return a-=b;
}
Point operator*(Point a,double c){
	return a*=c;
}
Point operator*(double c,Point a){
	return a*=c;
}
Point operator/(Point a,double c){
	return a/=c;
}
bool operator==(Point a,Point b){
	return abs(a.x-b.x)<EPS && abs(a.y-b.y)<EPS;
}
bool operator!=(Point a,Point b){
	return !(a==b);
}

double Abs(Point p){
	return sqrt(p.x*p.x+p.y*p.y);
}
double Abs2(Point p){
	return p.x*p.x+p.y*p.y;
}
double Arg(Point p){
	return atan2(p.y,p.x);
}
double Dot(Point a,Point b){
	return a.x*b.x+a.y*b.y;
}
double Cross(Point a,Point b){
	return a.x*b.y-a.y*b.x;
}
Point Rot(Point p,double t){
	return Point(cos(t)*p.x-sin(t)*p.y,sin(t)*p.x+cos(t)*p.y);
}

struct Line{
	Point pos,dir;
	Line(){}
	Line(Point p,Point d):pos(p),dir(d){}
	Line(double px,double py,double dx,double dy):pos(px,py),dir(dx,dy){}
};

Point Proj(Line l,Point p){
	Point a=p-l.pos,b=l.dir;
	return l.pos+Dot(a,b)/Abs2(b)*b;
}

struct Segment{
	Point pos,dir;
	Segment(){}
	Segment(Point p,Point d):pos(p),dir(d){}
	Segment(double px,double py,double dx,double dy):pos(px,py),dir(dx,dy){}
	explicit Segment(Line l):pos(l.pos),dir(l.dir){}
	explicit operator Line()const{return Line(pos,dir);}
};

int CCW(Point a,Point b,Point c){
	b-=a,c-=a;
	if(int sign=Signum(Cross(b,c)))
		return sign; // 1:ccw,-1:cw
	if(Dot(b,c)<-EPS)
		return -2;   // c-a-b
	if(Abs2(b)<Abs2(c)-EPS)
		return 2;    // a-b-c
	return 0;        // a-c-b (inclusive)
}

bool IntersectSS(Segment a,Segment b){
	int c1=CCW(a.pos,a.pos+a.dir,b.pos),c2=CCW(a.pos,a.pos+a.dir,b.pos+b.dir);
	int c3=CCW(b.pos,b.pos+b.dir,a.pos),c4=CCW(b.pos,b.pos+b.dir,a.pos+a.dir);
	return c1*c2<=0 && c3*c4<=0;
}

double DistLP(Line l,Point p){
	return Abs(Proj(l,p)-p);
}
double DistSP(Segment s,Point p){
	int ccw=CCW(s.pos,s.pos+s.dir,Proj(Line(s),p));
	if(ccw==-2) return Abs(s.pos-p);
	if(ccw== 2) return Abs(s.pos+s.dir-p);
	return DistLP(Line(s),p);
}
double DistSS(Segment a,Segment b){
	if(IntersectSS(a,b)) return 0;
	double d1=min(DistSP(a,b.pos),DistSP(a,b.pos+b.dir));
	double d2=min(DistSP(b,a.pos),DistSP(b,a.pos+a.dir));
	return min(d1,d2);
}

void solve()
{
	Point a,b,c,d;
	cin>>a.x>>a.y>>b.x>>b.y>>c.x>>c.y>>d.x>>d.y;
	printf("%.10f\n",DistSS(Segment(a,b-a),Segment(c,d-c)));
}

int main()
{
	int q; cin>>q;
	rep(_,q) solve();
}

Measured memory_bytes: 1240