#include<bits/stdc++.h>
const double EPS =  1e-10;
#define equals(a, b) (fabs((a) - (b)) < EPS)

class Point{
    public:
    double x, y;

    Point(double x = 0, double y = 0): 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 * (Point p){
        return Point(x * p.x, y * p.y);
    }
    Point operator * (double r){
        return Point(x * r, y * r);
    }
    Point operator / (Point p){
        return Point(x / p.x, y / p.y);
    }

    double abs(){
        return sqrt(norm());
    }
    double norm(){
        return x * x + y * y;
    }

    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;
    }
    
    
};

typedef Point Vector;

class Segment : public Point{
    public:
    Point p1, p2;
    Segment(Point p1_, Point p2_){
        p1 = p1_;
        p2 = p2_;
    }
    Segment(double a, double b, double c, double d){
        Point(a, b);
        Point(c, d);
    }
    
};

typedef Segment Line;

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;
}
bool isOrthogonal(Point a, Point b){
    return equals(dot(a, b), 0.0);
}
bool isParallel(Point a, Point b){
    return equals(cross(a, b), 0.0);
}
bool isOrthogonal(Segment s1, Segment s2){
    return equals(dot(s1.p2 - s1.p1, s2.p2 - s1.p1), 0.0);
}
bool isParallel(Segment s1, Segment s2){
    return equals(cross(s1.p2 - s1.p1, s2.p2 - s1.p1), 0.0);
}

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

Point reflect(Segment s, Point p){
    return p + (project(s, p) - p) * 2;
}

int ccw(Point p1, Point p2, Point p3){
    Vector a = p2 - p1;
    Vector b = p3 - p1;
    if( cross(a, b) > EPS ) return 1;
    else if( cross(a, b) < -EPS ) return -1;
    else if( dot(a, b) < -EPS ) return 2;
    else if( a.norm() < b.norm() ) return -2;
    //std::cout << std::fixed << std::setprecision(10) << ans.x << " " << ans.y << std::endl;
    else return 0;
}

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);
}

double getDistance(Point a, Point b){
    return (a - b).abs();
}

double getDistanceLP(Line l, Point p){
    return abs(cross(l.p2 - l.p1, p - l.p1)) / (l.p2 - l.p1).abs();
}

double getDistanceSP(Segment s, Point p){
    if(dot(s.p2 - s.p1, p - s.p1) < 0.0) return (p - s.p1).abs();
    if(dot(s.p1 - s.p2, p - s.p2) < 0.0) return (p - s.p2).abs();
    return getDistanceLP(s, p);
}

double getDistance(Segment s1, Segment s2){
    if( intersect(s1, s2) ) return 0.0;
    return std::min(std::min(getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2)), std::min(getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2)));
}

int main(void){
    Point p0, p1, p2, p3;
    
    
    int q;
    std::cin >> q;

    for(int i = 0; i < q; i++){
        std::cin >> p0.x >> p0.y >> p1.x >> p1.y >> p2.x >> p2.y >> p3.x >> p3.y;
        Segment s1(p0, p1);
        Segment s2(p2, p3);

        std::cout << std::fixed << std::setprecision(10) << getDistance(s1, s2) << std::endl;
    }

    return 0;
}




Measured memory_bytes: 3288