Go: package main

import (
	"fmt"
	"math"
)

func main() {
	n := scanInt()
	for i := 0; i < n; i++ {
		circleTriangle()
	}
}

func scanInt() int {
	var n int
	fmt.Scanf("%d", &n)
	return n
}

func circleTriangle() {
	var x1, y1, x2, y2, x3, y3 float64
	fmt.Scanf("%f%f%f%f%f%f", &x1, &y1, &x2, &y2, &x3, &y3)
	a := 2 * (x1 - x2)
	b := 2 * (y1 - y2)
	c := 2 * (x1 - x3)
	d := 2 * (y1 - y3)
	e := x1*x1 - x2*x2 + y1*y1 - y2*y2
	f := x1*x1 - x3*x3 + y1*y1 - y3*y3

	px := (d*e - b*f) / (a*d - b*c)
	py := (a*f - c*e) / (a*d - b*c)

	r := math.Sqrt((x1-px)*(x1-px) + (y1-py)*(y1-py))
	fmt.Printf("%.3f %.3f %.3f\n", px, py, r)
}

C++: #include<iostream>
#include<cmath>
#include<cstdio>

double a,b,c,d,e,f,x,y,r;
int n;

double ifof(double a){
	int n = a*10000;
	if(n%10 >= 5)
		n++;
	else if(n%10 <=-5)
		n--;
	return n/10000.0;
}

double solvex(){
	double k,l;
	k = (c*c)-(a*a)+(d*d)-(b*b)-(2*y*(d-b));
	l = 2*(c-a);
	return k/l;
}

double solvey(){
	double k,l;
	k = ((e-a)*((c*c)-(a*a)+(d*d)-(b*b)))-((c-a)*((e*e)-(a*a)+(f*f)-(b*b)));
	l = 2*(((d-b)*(e-a))-((f-b)*(c-a)));
	return k/l;
}

int main(){
	std::cin >> n;
	for(int i=0; i<n; i++){
		std::cin >> a >> b >> c >> d >> e >> f;
		y = solvey();
		x = solvex();
		r = std::sqrt(((x-a)*(x-a)) + ((y-b)*(y-b)));
		std::printf("%.3f %.3f %.3f\n",ifof(x),ifof(y),ifof(r));
	}
	return 0;
}

C++: #include<iostream>
#include<cmath>
#include<algorithm>
#include<iomanip>
using namespace std;
class Point {
public:
	double x, y;
};
double distance(Point x, Point y) {
	return pow(pow(fabs(x.x - y.x), 2) + pow(fabs(x.y - y.y), 2), 0.5);
}
int main() {
	cout << setprecision(3);
	int n;
	cin >> n;
	for (int i = 0; i < n; i++) {
		Point p[3], s;
		for (int i = 0; i < 3; i++) {
			cin >> p[i].x >> p[i].y;
		}
		double a, b, c, d, e, f;
		a = (-2)*p[0].x + 2 * p[1].x;
		b = (-2)*p[0].y + 2 * p[1].y;
		c = (-2)*p[0].x + 2 * p[2].x;
		d = (-2)*p[0].y + 2 * p[2].y;
		e = pow(p[0].x, 2) + pow(p[0].y, 2) - pow(p[1].x, 2) - pow(p[1].y, 2);
		f = pow(p[0].x, 2) + pow(p[0].y, 2) - pow(p[2].x, 2) - pow(p[2].y, 2);
		s.x = (b*f - d*e) / (a*d - b*c);
		s.y = (a*f - c*e) / (b*c - a*d);
		double k = distance(p[0], s);
		s.x = round(s.x * 1000) / 1000;
		s.y = round(s.y * 1000) / 1000;
		k = round(k * 1000) / 1000;
		cout << s.x << " " << s.y << " " << k << endl;
	}
	return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef complex<double> P;
typedef pair<int,int> pii;
#define REP(i,n) for(ll i=0;i<n;++i)
#define REPR(i,n) for(ll i=1;i<n;++i)
#define FOR(i,a,b) for(ll i=a;i<b;++i)

#define DEBUG(x) cout<<#x<<": "<<x<<endl
#define DEBUG_VEC(v) cout<<#v<<":";REP(i,v.size())cout<<" "<<v[i];cout<<endl
#define ALL(a) (a).begin(),(a).end()

#define MOD (ll)(1e9+7)
#define ADD(a,b) a=((a)+(b))%MOD
#define FIX(a) ((a)%MOD+MOD)%MOD

int main(){
  int n;
  cin>>n;
  while(n--){
    double ax,bx,cx,ay,by,cy;
    cin>>ax>>ay>>bx>>by>>cx>>cy;
    P a(ax,ay),b(bx,by),c(cx,cy);
    double i,j,k;
    i = abs(b-c);
    j = abs(c-a);
    k = abs(a-b);
    double r = i*j*k/sqrt( (i+j+k)*(-i+j+k)*(i-j+k)*(i+j-k) );
    double ii = i*i, jj=j*j,kk=k*k;
    double s = imag(conj(b-a)*(c-a))/2.0;
    P p = (ii*(jj+kk-ii)*a + jj*(kk+ii-jj)*b + kk*(ii+jj-kk)*c) / (16.0*s*s);
    printf("%.3lf %.3lf %.3lf\n",p.real()+0.0, p.imag()+0.0, r);
  }
  return 0;
}

C++: #include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<ctime>
#include<cctype>
#include<climits>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<memory>
#include<functional>

#define REP(i, n) for(int i = 0;i < n;i++)
#define REPR(i, n) for(int i = n;i >= 0;i--)
#define FOR(i, m, n) for(int i = m;i < n;i++)
#define FORR(i, m, n) for(int i = m;i >= n;i--)
#define SORT(v, n) sort(v, v+n);
#define VSORT(v) sort(v.begin(), v.end());
#define llong long long
#define pb(a) push_back(a)
#define INF 999999999
using namespace std;

typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<double> vd;
typedef pair<int, int> pii;
typedef pair<long, long> pll;
typedef long long ll;

int dy[] = { 0, 0, 1, -1, 0 };
int dx[] = { 1, -1, 0, 0, 0 };


int main(){
	ios::sync_with_stdio(false);

	int n;
	vd x(3), y(3);
	double a1, a2, b1, b2, c1, c2;
	double px, py, r;

	cin >> n;

	for (; n > 0; n--){
		cin >> x[0] >> y[0] >> x[1] >> y[1] >> x[2] >> y[2];

		a1 = 2 * (x[1] - x[0]);
		b1 = 2 * (y[1] - y[0]);
		c1 = x[0] * x[0] - x[1] * x[1] + y[0] * y[0] - y[1] * y[1];

		a2 = 2 * (x[2] - x[0]);
		b2 = 2 * (y[2] - y[0]);
		c2 = x[0] * x[0] - x[2] * x[2] + y[0] * y[0] - y[2] * y[2];

		px = (b1*c2 - b2*c1) / (a1*b2 - a2*b1);
		py = (c1*a2 - c2*a1) / (a1*b2 - a2*b1);
		r = sqrt((px - x[0])*(px - x[0]) + (py - y[0])*(py - y[0]));

		printf("%.3lf %.3lf %.3lf\n", px, py, r);
	}

}

C++: #include <cstdio>
#include <algorithm>
#include <complex>
using namespace std;

#define FOR(i,a,b)  for (int i=(a);i<(b);i++)
#define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define REP(i,n)    for (int i=0;i<(n);i++)
#define RREP(i,n)   for (int i=(n)-1;i>=0;i--)
#define pb push_back
#define ALL(a) (a).begin(),(a).end()

typedef long long ll;
typedef complex<double> C;


double dot(C a, C b) {
    return real(conj(a) * b);
}

double cross(C a, C b) {
    return imag(conj(a) * b);
}

C triangle_circumcenter(C a, C b, C c) {
    a -= c;
    b -= c;
    C z = (abs(a) * abs(a) * b - abs(b) * abs(b) * a) / (conj(a) * b - a * conj(b));
    z += c;
    return z;
}

int main() {
    int n;
    scanf("%d", &n);
    while (n--) {
        double x1, y1, x2, y2, x3, y3;
        scanf("%lf%lf%lf%lf%lf%lf", &x1, &y1, &x2, &y2, &x3, &y3);
        C a = C(x1, y1);
        C b = C(x2, y2);
        C c = C(x3, y3);
        C z = triangle_circumcenter(a, b, c);
        printf("%.3f, %.3f, %.3f\n", real(z), imag(z), abs(z-c));
    }
    return 0;
}

C++: # -*- coding: utf-8 -*-
from math import sqrt
# import numpy as np


n = int(input())

for i in range(n):
    tmp = input().split(' ')
    
    a, b, c = [(float(tmp[i]), float(tmp[i+1])) for i in range(0, len(tmp), 2)]
    
    #A = np.array(((a[0], a[1], 1),
    #              (b[0], b[1], 1),
    #              (c[0], c[1], 1)))
    A_tmp1 = 1/(a[0]*b[1] + a[1]*c[0] + b[0]*c[1] - b[1]*c[0] - a[1]*b[0] - a[0]*c[1])
    A_tmp2 = [[b[1]-c[1], -(a[1]-c[1]), a[1]-b[1]],
              [-(b[0]-c[0]),  (a[0]-c[0]), -(a[0]-b[0])],
              [b[0]*c[1] - b[1]*c[0], -(a[0]*c[1] - a[1]*c[0]), a[0]*b[1] - a[1]*b[0]]]
    A = [list(map(lambda x: A_tmp1*x, A_tmp2[i])) for i in range(3)]
    
    #B = np.array((((-(a[0]**2 + a[1]**2))),
    #              ((-(b[0]**2 + b[1]**2))),
    #              ((-(c[0]**2 + c[1]**2)))))
    B = [[-(a[0]**2 + a[1]**2)],
         [-(b[0]**2 + b[1]**2)],
         [-(c[0]**2 + c[1]**2)]]
    
    
    tmp = [sum([A[i][j]*B[j][0] for j in range(3)]) for i in range(3)]
    # tmp = np.dot(np.linalg.inv(A), B)
    print(tmp)
    
    x = -tmp[0]/2
    y = -tmp[1]/2
    r = sqrt((tmp[0]**2 + tmp[1]**2 - 4*tmp[2])/4)
    
    print('{:.3} {:.3} {:.3}'.format(x, y, r))