Determine Pythagoras' Position for Parallelogram Formation

Euclid, Pythagoras, Pascal, and Monte decide to gather in a park. Initially, Pascal, Monte, and Euclid choose three different spots. Pythagoras, arriving later, selects a position such that when his point and the others are joined, they form a parallelogram. Specifically, the positions of Euclid and Monte will form one diagonal of this parallelogram.

Your role is to calculate Pythagoras' coordinates so the four positions create a parallelogram.

Input:

The first line provides an integer T, representing the number of test cases. For each test case, the line contains six space-separated integers: x1, y1, x2, y2, x3, y3.

  

   
x1, y1: Coordinates of Euclid
   
x2, y2: Coordinates of Pascal
   
x3, y3: Coordinates of Monte
  

Output:

Output the coordinates of Pythagoras as two space-separated integers for each test case.

Example:

Input:
T = 1
x1 = 2, y1 = 3, x2 = 4, y2 = 5, x3 = 6, y3 = 7
Output:
x = 8, y = 9
[Calculation shows how to achieve this.]

Constraints:

• 1 <= T <= 10^2
• -10^9 <= x1, y1, x2, y2, x3, y3 <= 10^9
• Time Limit: 1sec

Note:

The coordinates of Pythagoras are uniquely determined by the other three coordinates.