#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
//#define ll long long
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
#define rep(i, n) REP(i, 0, n)
#define rep_rev(i, n) for (int (i) = (int)(n) - 1 ; (i) >= 0 ; --(i))
#define ALL(v) v.begin(), v.end()
#define MSG(a) cout << #a << " " << a << endl;
#define REP(i, x, n) for(int i = x; i < n; i++)
#define all(x) (x).begin(),(x).end()
ll t1,t2;
const ll mod = 1000000007;
const int INF = 1e9;
const ll INFLONG = 1e18;
void swap(ll *x,ll *y){
  ll tmp;
  tmp = *x;
  *x = *y;
  *y = tmp;
}

#define EPS (1e-10)
#define equals(a,b) (fabs((a) - (b)) < EPS)

class Point {
public:
    double x,y;
    Point(double x,double y):x(x),y(y){}
    Point():x(0),y(0){}

    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 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;
    }

    void set(double x,double y) {
      this->x = x;
      this->y = y;
    }


};

struct Segment{
    Point p1,p2;
};

typedef Point Vector;
typedef Segment Line;

double norm(Point a){
  return a.x * a.x + a.y * a.y;
}

double abs(Point 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;
}

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){
  Point vec1,vec2;
  vec1 = s.p2 - s.p1;
  vec2 = p - s.p1;
  return s.p1 + vec1 * dot(vec1,vec2) / vec1.norm();
}

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

bool intersect(Segment s1,Segment s2){
  return ((cross(s1.p1 - s2.p1,s1.p1 - s2.p2) < 0 ^ cross(s1.p2 - s2.p1,s1.p2 - s2.p2) < 0)
  && (cross(s2.p1 - s1.p1,s2.p1 - s1.p2) < 0 ^ cross(s2.p2 - s1.p1,s2.p2 - s1.p2) < 0));
}

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

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

// Segment : Point
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 getDistance(Segment s1,Segment s2){
  if(intersect(s1,s2)){
    return 0.0;
  }
  double ans = INF;
  chmin(ans,getDistanceSP(s1,s2.p1));
  chmin(ans,getDistanceSP(s1,s2.p2));
  chmin(ans,getDistanceSP(s2,s1.p1));
  chmin(ans,getDistanceSP(s2,s1.p2));
  return ans;
}



int main() {
  ll n;
  cin >> n;
  double x, y;
  vector<Vector> p(4);
  Segment s1, s2;
  rep(i, n) {
    rep(j, 4) {
      cin >> x >> y;
      p[j] = Point(x, y);
    }
    s1.p1 = p[0];
    s1.p2 = p[1];
    s2.p1 = p[2];
    s2.p2 = p[3];
    printf("%.15f\n",getDistance(s1,s2));
  }
}


Measured memory_bytes: 3296