#include<iostream>

 #include<cstdio>

 #include<cstring>

 #include<algorithm>

 #include<cmath>

 const double pi=3.14159265;

 using namespace std;

 int n;

 struct Point{

   double x;

   double y;

   double s;

 }num[];

 struct LINE{

    double a,b,c;

    Point s;

 };

 Point HHH(Point o,double alpha,Point p) {//点p绕着o旋转alpha弧度

     Point tp;

     p.x-=o.x;

     p.y-=o.y;

     tp.x=p.x*cos(alpha)-p.y*sin(alpha)+o.x;

     tp.y=p.y*cos(alpha)+p.x*sin(alpha)+o.y;

     return tp;

  }

 bool CCC(LINE l1,LINE l2,Point&p){//两条直线是否相交，如果相交，则交点为p

   double d=l1.a*l2.b-l2.a*l1.b;

     if(abs(d)<1e-)    return false;

     p.x = (l2.c*l1.b-l1.c*l2.b)/d;

     p.y = (l2.a*l1.c-l1.a*l2.c)/d;

     return true;

 }

 LINE DDD(const Point &_a, const Point &_b){//求两点之间垂直平分线

         LINE ret;

         ret.s.x = (_a.x + _b.x)/;

         ret.s.y = (_a.y + _b.y)/;

         ret.a = _b.x - _a.x;

         ret.b = _b.y - _a.y;

         ret.c = (_a.y - _b.y) * ret.s.y + (_a.x - _b.x) * ret.s.x;

         return ret;

 }

 LINE EEE(Point a,Point b){//求经过两点的中垂线

     LINE ret;

     if(abs(a.x-b.x)<1e-){

         ret.a=;

         ret.b=;

         ret.c=-a.x;

         return ret;

     }

     ret.a=a.y-b.y;

     ret.b=b.x-a.x;

     ret.c=a.x*b.y-a.y*b.x;

     return ret;

 }

 int main(){

    int T;

    scanf("%d",&T);

    while(T--){

       scanf("%d",&n);

       double sum=;

       for(int i=;i<=n;i++){

          scanf("%lf%lf%lf",&num[i].x,&num[i].y,&num[i].s);

          sum+=num[i].s;

       }

       Point s1,s2;

       s1.x=2.345,s1.y=4.123;

       s2.x=11.345,s2.y=12.123;

       Point t1=s1,t2=s2;

       for(int i=;i<=n;i++){

          Point temp=HHH(num[i],num[i].s,t1);

          t1=temp;

       }

        for(int i=;i<=n;i++){

          Point temp=HHH(num[i],num[i].s,t2);

          t2=temp;

       }

       LINE one1=DDD(s1,t1);

       LINE one2=DDD(s2,t2);

       Point a;

       if(CCC(one1,one2,a)){

         if(sum>*pi)

         sum-=*pi;

         printf("%lf %lf %lf\n",a.x,a.y,sum);

       }

       else{

           LINE ttt=EEE(s1,s2);

           CCC(one1,ttt,a);

         if(sum>*pi)

          sum-=*pi;

          printf("%lf %lf %lf\n",a.x,a.y,sum);

       }

    }

 }