#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n); i >= 0; i--)
#define REP(i, m, n) for (int i = (int)(m); i <= (int)(n); i++)
#define REPR(i, m, n) for (int i = (int)(m); i >= (int)(n); i--)
#define all(v) v.begin(), v.end()
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
const long long INF = (1LL<<30);

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

struct Point{
  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 * (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;
  }
};

typedef Point Vector;

struct Segment{
  Point p1, p2;
};

typedef Segment Line;

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;
}

Point project(Segment s, Point p){
  Vector a = s.p2 - s.p1;
  Vector b = p - s.p1;
  return s.p1 + a * (dot(a, b)/a.norm());
}

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

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;

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

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

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

double getDistanceSP(Segment s, Point p){
  Vector a = s.p2 - s.p1;
  Vector b = p - s.p1;
  double n = dot(a, b) / a.norm();
  if(0.0 <= n && n <= 1.0) return getDistanceLP(s, p);
  else return min(getDistance(s.p1, p), getDistance(s.p2, p));
}

double getDistanceSS(Segment s1, Segment s2){
  if(intersect(s1.p1, s1.p2, s2.p1, s2.p2)) return 0.0;
  double res = INF;
  chmin(res, getDistanceSP(s1, s2.p1));
  chmin(res, getDistanceSP(s1, s2.p2));
  chmin(res, getDistanceSP(s2, s1.p1));
  chmin(res, getDistanceSP(s2, s1.p2));
  return res;
}

int main(){
  int q;
  cin >> q;

  rep(i, q){
    double x1, y1, x2, y2;
    double x3, y3, x4, y4;
    cin >> x1 >> y1 >> x2 >> y2;
    cin >> x3 >> y3 >> x4 >> y4;
    Point p1 = Point(x1, y1);
    Point p2 = Point(x2, y2);
    Point p3 = Point(x3, y3);
    Point p4 = Point(x4, y4);
    Segment s1 = {p1, p2};
    Segment s2 = {p3, p4};
    cout << fixed << setprecision(10);
    cout << getDistanceSS(s1, s2) << endl;
  }

  return 0;

}




Measured memory_bytes: 3296