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: def main():
      import math
  
      while True:
          try:
              for i in range(int(input())):
                  x1, y1, x2, y2, x3, y3 = map(float, input().split())
  
                  a = y1 - y2
                  b = y1 - y3
  
                  if a == 0:
                      x = (x1 + x2) / 2
                      c = (x3 - x1) / (y1 - y3)
                      d = (-x1 - x3) / 2 + (y1 + y3) / 2
                      y = c * x + d
  
                  elif b == 0:
                      x = (x1 + x3) / 2
                      c = (x2 - x1) / (y1 - y2)
                      d = (-x1 - x3) / 2 + (y1 + y3) / 2
                      y = c * x + d
  
                  else:
                      a = (x2 - x1) / (y1 - y2)
                      b = (-x1 - x2) / 2 + (y1 + y2) / 2
                      c = (x3 - x1) / (y1 - y3)
                      d = (-x1 - x3) / 2 + (y1 + y3) / 2
  
                      x = (d - b) / (a - c)
                      y = a * x + b
  
                  r = math.sqrt((x - x1) ** 2 + (y - y1) ** 2)
  
                  print("{0:.3f} {1:.3f} {2:.3f}".format(x, y, r))
          except:
              break
  
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"}]