#include <iostream>
#include <sstream>
#include <regex>
#include <cstdio>
#include <cmath>
#include <cctype>
#include <string>
#include <vector>
#include <list>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <algorithm>
#include <functional>
#include <iomanip>

using namespace std;
using ll = long long int;
#define rep(i,n) for(int i = 0; i < n; i++)
#define FOR(i, a, b)  for(int i = (a); i < (b) ; i++)
#define pb push_back
#define SORT(v,n) sort(v, v+n)
#define ALL(x) (x).begin(),(x).end()
#define debug(x) cerr << #x << ": " << x << '\n'
#define elif else if
#define int ll
//const int INF = 100100100;
const int INF = (1LL << 32);
const int MOD = (int)1e9 + 7;
const double EPS = 1e-9;
int dx[8] = { 1, 0, -1, 0, 1, -1, -1, 1 };
int dy[8] = { 0, 1, 0, -1, 1, 1, -1, -1 };
typedef vector<vector<int>> vvi;
typedef vector<vector<vector<int>>> vvvi;

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

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;

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 sqrt(norm()); }

	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 and fabs(y - p.y) < EPS;
	}
};

typedef Point Vector;
typedef vector<Point> Polygon;

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;
}

class Segment {
public:
	Point p1, p2;
	Segment(Point p1, Point p2) : p1(p1), p2(p2) {}
};

typedef Segment Line;

class Circle {
public:
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0) : c(c), r(r) {}
};

//直交判定
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);
}

//平行判定
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);
}

//線分sに対する点pの射影
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;
}

//線分ｓに対する点ｐの反射
Point refrect(Segment s, Point p) {
	return p + (project(s, p) - p) * 2.0;
}

//2点間の距離
double getDistance(Point a, Point b) {
	Point res = a - b;
	return res.abs();
}
//点と直線の距離
double getDistanceLP(Line l, Point p) {
	return abs(cross(l.p2 - l.p1, p - l.p1) / Vector(l.p2 - l.p1).abs());
}

//線分ｓと点ｐの距離
double getDistanceSP(Segment s, Point p) {
	if (dot(s.p2 - s.p1, p - s.p1) < 0.0) {
		Point r = p - s.p1;
		return r.abs();
	}
	if (dot(s.p1 - s.p2, p - s.p2) < 0.0) {
		Point r = p - s.p2;
		return r.abs();
	}
	return getDistanceLP(s, p);
}

//counter clock wise
int ccw(Point p0, Point p1, Point p2) {
	Vector a = p1 - p0;
	Vector b = p2 - p0;
	if (cross(a, b) > EPS) return COUNTER_CLOCKWISE;
	if (cross(a, b) < -EPS) return CLOCKWISE;
	if (dot(a, b) < -EPS) return ONLINE_BACK;
	if (a.norm() < b.norm()) return ONLINE_FRONT;
	return ON_SEGMENT;
}

//線分と線分の交差判定
bool intersect(Point p1, Point p2, Point p3, Point p4) {
	return (ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 and
		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);
}

//線分と線分の距離
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))
	);
}

signed main() {
	ios::sync_with_stdio(false);
	int q;
	cin >> q;
	rep(i, q) {
		int x0, y0, x1, y1, x2, y2, x3, y3;
		cin >> x0 >> y0 >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		cout << fixed << setprecision(10) << getDistance(Segment(Point(x0, y0), Point(x1, y1)), Segment(Point(x2, y2), Point(x3, y3))) << '\n';
	}
	return 0;
}




Measured memory_bytes: 3284