#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll INF = 1e16;
const ll mod = 1000000007;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)

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;
}
int ctoi(char c) {
  if (c >= '0' && c <= '9') {
    return c - '0';
  }
  return 0;
}
ll factorial(ll n) {
  if (n == 1) {
    return 1;
  }
  ll ans = factorial(n-1);
  return ans*n;
}
ll gcd(ll a, ll b) {
  if (b == 0) return a;
  return gcd(b, a%b);
}
ll lcm(ll a, ll b) {
  return (a/gcd(a, b))*b;
}
bool is_prime(ll n) {
  for (ll i = 2; i*i <= n; i++) {
    if (n%i == 0) return false;
  }
  return n != 1;
}
ll mod_pow(ll x, ll n, ll mod) {
  if (n == 0) return 1;
  ll res = mod_pow(x*x%mod, n/2, mod);
  if (n & 1) res = res * x % mod;
  return res;
}

#define 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 * (double a) { return Point(a * x, a * y); }
  Point operator / (double a) { return Point(x / a, y / a); }
  double norm() { return x*x + y*y; }
  double abs() { return pow(norm(), 0.5); }
  bool operator < (const Point &p) const {
    return x != p.x ? x < p.x : y < p.y;
  }
};
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;
}
Point project(Segment s, Point p) {
  Vector base = s.p2 - s.p1;
  double r = dot(p-s.p1, base) / base.norm();
  return s.p1 + base * r;
}
Point reflect(Segment s, Point p) {
  return p + (project(s, p) - p) * 2.0;
}
double cross(Point a, Point b) {
  return a.x*b.y - a.y*b.x;
}
ll ccw(Point p0, Point p1, Point p2) {
  Vector a = p1 - p0, b = p2 - p0;
  if (cross(a, b) > EPS) return 1;
  if (cross(a, b) < -EPS) return -1;
  if (dot(a, b) < -EPS) return 2;
  if (a.norm() < b.norm()) return -2;
  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 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 min(min(getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2)),
             min(getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2)));
}
int main() {
  ll n;
  cin >> n;
  cout << fixed << setprecision(10);
  rep(i, n) {
    Point p1, p2, p3, p4;
    cin >> p1.x >> p1.y >> p2.x >> p2.y >> p3.x >> p3.y >> p4.x >> p4.y;
    Segment s1, s2;
    s1.p1 = p1; s1.p2 = p2; s2.p1 = p3; s2.p2 = p4;
    cout << getDistance(s1, s2) << endl;
  }
}


Measured memory_bytes: 3488