You are given three non-collinear points A,B,C. Find the point that forms an equilateral triangle with point A and reflection of A with respect to the line BC. i.e., let reflection of A with respect to BC be A’. Then, find a point D such that ADA’ forms an equilateral triangle .

Input :

The first line the contains number of test cases t.

The next t lines contains 6 integers x1,y1, x2, y2,x3,y3 representing co-ordinates of A(x1,y1),B(x2,y2),C(x3,y3) .

Output : You should output t lines each containing two space separated real numbers a,b representing the point D(a,b).

The absolute value of difference between any two sides of triangle ADA' should be less than 10^-9.

If there are multiple answers print the point which is close to C.

Constraints :

Sub-task 0(1 point):

1<=t<=20

1<=a,b<=10^9

Sub-task 1(2 points):

1<=t<=200

1<=a,b<=10^9

Sub-task 2(7 points):

1<=t<=4000

1<=a,b<=10^9

Sample Test Case 1:

Input:

3

1 7 4 0 9 4

8 8 2 4 5 5

1 7 1 1 5 2

Output:

15.51297 9.21038

5.48231 5.16077

12.19276 3.79819

Sample Test Case 2:

Input:

3

1 0 0 1 0 -1

1 0 3 3 9 9

0 1 1 0 3 0

Output:

0.00000 -1.73205

1.36603 1.36603

1.73205 0.00000