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: for _ in range(int(input())):
      x1, y1, x2, y2, x3, y3 = map(float, input().split())
      d = 2 * (x2 * y3 - x3 * y2 + x3 * y1 - x1 * y3 + x1 * y2 - x2 * y1)
      px = (
          (y2 - y3) * (x1**2 + y1**2)
          + (y3 - y1) * (x2**2 + y2**2)
          + (y1 - y2) * (x3**2 + y3**2)
      ) / d
      py = (
          -1
          * (
              (x2 - x3) * (x1**2 + y1**2)
              + (x3 - x1) * (x2**2 + y2**2)
              + (x1 - x2) * (x3**2 + y3**2)
          )
          / d
      )
      print(
          "{0:.3f} {1:.3f} {2:.3f}".format(
              px, py, ((x1 - px) ** 2 + (y1 - py) ** 2) ** 0.5
          )
      )
  
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"}]