1 #include<iostream>
2 #include<cmath>
3 #include<cstdio>
4 using namespace std;
5 struct Point{
6 double x,y;
7 Point operator - (const Point& b)const{
8 return (Point){x-b.x,y-b.y};
9 }
10 double operator ^ (const Point& b)const{
11 return x*b.y - b.x*y;
12 }
13 Point operator * (const double b){
14 return (Point){x*b,y*b};
15 }
16 Point operator + (const Point& b)const{
17 return (Point){x+b.x,y+b.y};
18 }
19 };
20 struct Line{
21 Point s,t;
22 };
23 //直线交
24 Point line_inter(Line l1,Line l2){
25 double b = ((l1.t-l1.s)^(l2.s-l1.s))/((l2.t-l2.s)^(l1.t-l1.s));
26 return l2.s + (l2.t - l2.s)*b;
27 }
28 double dis(Point a,Point b){
29 return sqrt((a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y));
30 }
31 //外心
32 Point circumcenter(Point a, Point b, Point c){
33 Line u, v;
34 u.s.x = (a.x + b.x) / 2;
35 u.s.y = (a.y + b.y) / 2;
36 u.t.x = u.s.x - a.y + b.y;
37 u.t.y = u.s.y + a.x - b.x;
38 v.s.x = (a.x + c.x) / 2;
39 v.s.y = (a.y + c.y) / 2;
40 v.t.x = v.s.x - a.y + c.y;
41 v.t.y = v.s.y + a.x - c.x;
42 return line_inter(u, v);
43 }
44
45 //内心
46 Point incenter(Point a,Point b,Point c){ //三角形内心
47 double A=dis(b,c);
48 double B=dis(a,c);
49 double C=dis(a,b);
50 double S=A+B+C;
51 double u=(A*a.x+B*b.x+C*c.x)/S;
52 double v=(A*a.y+B*b.y+C*c.y)/S;
53 return (Point){u,v};
54 }
55
56 //垂心
57 Point perpencenter(Point a, Point b, Point c){
58 Line u, v;
59 u.s = c;
60 u.t.x = u.s.x - a.y + b.y;
61 u.t.y = u.s.y + a.x - b.x;
62 v.s = b;
63 v.t.x = v.s.x - a.y + c.y;
64 v.t.y = v.s.y + a.x - c.x;
65 return line_inter(u, v);
66 }
67
68 //重心
69 //三条中线交点
70 //到三角形三顶点距离的平方和最小的点
71 //三角形内到三边距离之积最大的点
72 Point gravity(Point a, Point b, Point c){
73 return (Point){(a.x+b.x+c.x)/3,(a.y+b.y+c.y)/3};
74 }
75
76 //费马点
77 //到三角形三顶点距离之和最小的点
78 Point fermentpoint(Point a, Point b, Point c){
79 Point u, v;
80 double step = fabs(a.x) + fabs(a.y) + fabs(b.x) + fabs(b.y) + fabs(c.x) + fabs(c.y);
81 int i, j, k;
82 u.x = (a.x + b.x + c.x) / 3;
83 u.y = (a.y + b.y + c.y) / 3;
84 while (step > 1e-10)
85 for (k = 0; k < 10; step /= 2, k++)
86 for (i = -1; i <= 1; i++)
87 for (j = -1; j <= 1; j++){
88 v.x = u.x + step*i;
89 v.y = u.y + step*j;
90 if (dis(u, a) + dis(u, b) + dis(u, c) > dis(v, a) + dis(v, b) + dis(v, c))
91 u = v;
92 }
93 return u;
94 }
95 int main(){
96 int T; scanf("%d",&T);
97 Point a,b,c;
98 while(T--){
99 cin>>a.x>>a.y;
100 cin>>b.x>>b.y;
101 cin>>c.x>>c.y;
102 Point ans = perpencenter(a,b,c);
103 printf("%.4f %.4f\n",ans.x,ans.y);
104 }
105 return 0;
106 }
