output_description: For each dataset, print $p_x$, $p_y$ and $r$ separated by a space in a line.
  Print the solution to three places of decimals. Round off the solution to
  three decimal places.
input_description: Input consists of several datasets. In the first line, the number of datasets
  $n$ is given. Each dataset consists of:  
    
  $x_1$ $y_1$ $x_2$ $y_2$ $x_3$ $y_3$  
    
  in a line. All the input are real numbers.
attempt: p = int(input())
  for i in range(p):
      x1, y1, x2, y2, x3, y3 = map(float, input().split(" "))
      xa, ya, xb, yb = x2 - x1, y2 - y1, x3 - x1, y3 - y1
      a = complex(xa, ya)
      b = complex(xb, yb)
      z0 = abs(a) ** 2 * b - abs(b) ** 2 * a
      z0 /= a.conjugate() * b - a * b.conjugate()
  
      z = z0 + complex(x1, y1)
      zx = "{0:.3f}".format(z.real)
      zy = "{0:.3f}".format(z.imag)
      r = "{0:.3f}".format(abs(z0))
      print(zx, zy, r)
  
problem_description: Circumscribed Circle of A Triangle.
  
  Write a program which prints the central coordinate $(p_x, p_y)$ and the
  radius $r$ of a circumscribed circle of a triangle which is constructed by
  three points $(x_1, y_1)$, $(x_2, y_2)$ and $(x_3, y_3)$ on the plane surface.
samples: [{"input": "0.0 0.0 2.0 0.0 2.0 2.0", "output": ".000 1.000 1.414"}]