#include <bits/stdc++.h>
#define For(i, a, b) for(int (i)=(a); (i)<(b); ++(i))
#define rFor(i, a, b) for(int (i)=(a)-1; (i)>=(b); --(i))
#define rep(i, n) For((i), 0, (n))
#define rrep(i, n) rFor((i), (n), 0)
#define fi first
#define se second
using namespace std;
typedef long long lint;
typedef unsigned long long ulint;
typedef pair<int, int> pii;
typedef complex<double> xy_t;
typedef pair<xy_t, int> pci;
typedef vector<lint> poly;
template<class T>bool chmax(T &a, const T &b){if(a<b){a=b; return true;} return false;}
template<class T>bool chmin(T &a, const T &b){if(a>b){a=b; return true;} return false;}

constexpr lint mod = 1e9+7;
constexpr lint INF = mod*mod;
constexpr int MAX = 100010;

constexpr double eps=1e-9;

inline int sgn(double x){
    if(x<-eps) return -1;
    if(x>eps) return 1;
    return 0;
}

inline bool EQ(double x, double y){
    return sgn(x-y)==0;
}

inline bool GE(double x, double y){
    return sgn(x-y)==1;
}

inline bool LE(double x, double y){
    return sgn(x-y)==-1;
}

inline bool GEQ(double x, double y){
    return sgn(x-y)>=0;
}

inline bool LEQ(double x, double y){
    return sgn(x-y)<=0;
}

struct Point{
    double x, y;
    Point(double x, double y): x(x), y(y){}

    Point operator+(const Point &p){
        return {x+p.x, y+p.y};
    }

    Point operator-(const Point &p){
        return {x-p.x, y-p.y};
    }

    Point operator*(const double k){
        return {k*x, k*y};
    }

    Point operator/(const double k){
        return {x/k, y/k};
    }

    double operator*(const Point &p){
        return x*p.x+y*p.y;
    }

    double operator^(const Point &p){
        return x*p.y-y*p.x;
    }

    bool operator==(const Point &p){
        return EQ(x, p.x) && EQ(y, p.y);
    }
};

using Vec=Point;
using pdi=pair<double, int>;

double abs(Point p){
    return hypot(p.x, p.y);
}

double arg(Point p){
    return atan2(p.y, p.x);
}

constexpr int CCW_COUNTER_CLOCKWISE=1;
constexpr int CCW_CLOCKWISE=-1;
constexpr int CCW_ONLINE_BACK=-2;
constexpr int CCW_ONLINE_FRONT=2;
constexpr int CCW_ON_SEGMENT=0;

inline int ccw(Point a, Point b, Point c){
    Vec v=b-a, w=c-a;
    if(GE(v^w, 0)) return CCW_COUNTER_CLOCKWISE;
    if(LE(v^w, 0)) return CCW_CLOCKWISE;
    if(LE(v*w, 0)) return CCW_ONLINE_BACK;
    if(LE((a-b)*(c-b), 0)) return CCW_ONLINE_FRONT;
    return CCW_ON_SEGMENT;
}

bool isParallel(Vec v, Vec w){
    return EQ(v^w, 0);
}

bool isOrthogonal(Vec v, Vec w){
    return EQ(v*w, 0);
}

bool intersectSS(Point a, Point b, Point c, Point d){
    return ccw(a, b, c)*ccw(a, b, d)<=0 && ccw(c, d, a)*ccw(c, d, b)<=0;
}

Point getCrossPointLL(Point a, Vec v, Point b, Vec w){
    double t=((b-a)^w)/(v^w);
    return a+v*t;
}

double getDistanceLP(Point a, Vec v, Point p){
    return abs(v^(p-a)/abs(v));
}

double getDistanceSP(Point a, Point b, Point p){
    if(LE((b-a)*(p-a), 0)) return abs(p-a);
    if(LE((a-b)*(p-b), 0)) return abs(p-b);
    return getDistanceLP(a, b-a, p);
}

double getDistanceLL(Point a, Vec v, Point b, Vec w){
    if(isParallel(v, w)) return getDistanceLP(a, v, b);
    return 0;
}

double getDistanceLS(Point a, Vec v, Point c, Point d){
    Point b=a+v;
    if(ccw(a, b, c)*ccw(a, b, d)<=0) return 0;
    return min(getDistanceLP(a, v, c), getDistanceLP(a, v, d));
}

double getDistanceSS(Point a, Point b, Point c, Point d){
    if(intersectSS(a, b, c, d)) return 0;
    return min({getDistanceSP(a, b, c), getDistanceSP(a, b, d),
                getDistanceSP(c, d, a), getDistanceSP(c, d, b)});
}

int main(){
    int q;
    scanf("%d", &q);
    while(q--){
        vector<Point> p;
        rep(i, 4){
            double x, y;
            scanf("%lf%lf", &x, &y);
            p.emplace_back(x, y);
        }
        printf("%.20lf\n", getDistanceSS(p[0], p[1], p[2], p[3]));
    }
}


Measured memory_bytes: 3288