#include<bits/stdc++.h>
#define ll long long
#define rep(i,n) for(ll i=0;i<n;i++)
using namespace std;
const double pi = acos(-1);
const double eps = 1e-10;

static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;


template<class T>
bool equals(T a,T b){ return fabs((a)-(b)) < eps; }

struct Point{
    double x, y;
    Point(){}
    Point(double x, double y) : x(x), y(y){}
    Point operator + (Point p) { return Point(x+p.x, y+p.y); }
    Point operator - (Point p) { return Point(x-p.x, y-p.y); }
    Point operator * (double a) { return Point(x*a, y*a); }
    Point operator / (double a) { return Point(x/a, y/a); }
    double norm() {return x*x+y*y;}
    double abs() {return sqrt(norm());}

    bool operator < (const Point &p) const {
        return x!=p.x ? x<p.x : y<p.y;
    }
    bool operator == (const Point &p) const {
        return fabs(x-p.x) < eps && fabs(y-p.y) < eps;
    }
};

bool sort_x(Point a, Point b){ return !equals(a.x,b.x)?a.x<b.x:a.y<b.y; }
bool sort_y(Point a, Point b){ return !equals(a.y,b.y)?a.y<b.y:a.x<b.x; }

typedef Point Vector;
typedef vector<Point> Polygon;
double norm(Vector a) { return a.x*a.x+a.y*a.y; }
double abs(Vector a) { return sqrt(norm(a)); }
double dot(Vector a, Vector b) { return a.x*b.x+a.y*b.y; }
double cross(Vector a, Vector b) { return a.x*b.y-a.y*b.x; }

struct Segment {
    Point p1, p2;
    Segment(){}
    Segment(Point p1, Point p2):p1(p1),p2(p2){}
};
typedef Segment Line;

struct Circle{
    Point c;
    double r;
    Circle(){}
    Circle(Point c, double r) : c(c),r(r) {}
};

int ccw(Point p0, Point p1, Point p2){
    Vector a=p1-p0;
    Vector b=p2-p0;
    if(cross(a,b)>eps) return COUNTER_CLOCKWISE;
    if(cross(a,b)< -eps) return CLOCKWISE;
    if(dot(a,b)< -eps) return ONLINE_BACK;
    if(a.norm() < b.norm()) return ONLINE_FRONT;
    return ON_SEGMENT;
}

bool intersect(Point p1, Point p2, Point  p3, Point p4){
    return (ccw(p1,p2,p3)*ccw(p1,p2,p4)<=0&&ccw(p3,p4,p1)*ccw(p3,p4,p2)<=0);
}
bool intersect(Segment s1, Segment s2){
    return intersect(s1.p1, s1.p2, s2.p1, s2.p2);
}

bool isOrthogonal(Vector a, Vector b){
    return equals(dot(a,b), 0.0);
}
bool isOrthogonal(Point a1, Point a2, Point b1, Point b2){
    return isOrthogonal(a1-a2, b1-b2);
}
bool isOrthogonal(Segment s1, Segment s2){
    return equals(dot(s1.p2-s1.p1, s2.p2-s2.p1),0.0);
}

bool isParallel(Vector a, Vector b){
    return equals(cross(a,b), 0.0);
}
bool isParallel(Point a1, Point a2, Point b1, Point b2){
    return isParallel(a1-a2, b1-b2);
}
bool isParallel(Segment s1, Segment s2){
    return equals(cross(s1.p2-s1.p1, s2.p2-s2.p1),0.0);
}

Point project(Segment s, Point p){
    Vector base=s.p2-s.p1;
    double r=dot(p-s.p1,base)/norm(base);
    return s.p1+base*r;
}
Point reflect(Segment s,Point p){
    return p+(project(s,p)-p)*2.0;
}

double getDistance(Point a, Point b){
    return abs(a-b);
}
double getDistanceLP(Line l, Point p){
    return abs(cross(l.p2-l.p1, p-l.p1))/abs(l.p2-l.p1);
}
double getDistanceSP(Segment s, Point p){
    if(dot(s.p2-s.p1,p-s.p1) < 0.0) return abs(p-s.p1);
    if(dot(s.p1-s.p2,p-s.p2) < 0.0) return abs(p-s.p2);
    return getDistanceLP(s,p);
}
double getDistanceSS(Segment s1, Segment s2){
    if(intersect(s1,s2)) return 0.0;
    return min( min(getDistanceSP(s1,s2.p1),getDistanceSP(s1,s2.p2)),
                min(getDistanceSP(s2,s1.p1),getDistanceSP(s2,s1.p2)));
}
int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    ll q;cin>>q;
    rep(Q,q){
        double x0,y0,x1,y1,x2,y2,x3,y3;
        cin>>x0>>y0>>x1>>y1>>x2>>y2>>x3>>y3;
        Point p0(x0,y0),p1(x1,y1),p2(x2,y2),p3(x3,y3);
        Segment s1(p0,p1),s2(p2,p3);
        cout<<getDistanceSS(s1,s2)<<endl;
    }
    return 0;
}



Measured memory_bytes: 3304