Time Limit: 1 second(s) | Memory Limit: 32 MB |
A parallelogram is a quadrilateral with two pairs of parallel sides. See the picture below:
Fig: a parallelogram
Now you are given the co ordinates of A, B and C, you have to find the coordinates of D and the area of the parallelogram. The orientation of ABCD should be same as in the picture.
Input starts with an integer T (≤ 1000), denoting the number of test cases.
Each case starts with a line containing six integers A_{x}, A_{y}, B_{x}, B_{y}, C_{x}, C_{y} where (A_{x}, A_{y}) denotes the coordinate of A, (B_{x}, B_{y}) denotes the coordinate of B and (C_{x}, C_{y}) denotes the coordinate of C. Value of any coordinate lies in the range [-1000, 1000]. And you can assume that A, B and C will not be collinear.
For each case, print the case number and three integers where the first two should be the coordinate of D and the third one should be the area of the parallelogram.
Sample Input |
Output for Sample Input |
3 0 0 10 0 10 10 0 0 10 0 10 -20 -12 -10 21 21 1 40 |
Case 1: 0 10 100 Case 2: 0 -20 200 Case 3: -32 9 1247 |
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