You will be given some points in a 3D co-ordinate system. You have to find the minimum volume of the sphere which can enclose all the points.
The first line of the input contains the number of test cases T (0 < T ≤ 20). Each test case begins with an integer N (1 < N ≤ 55). Next N line each contains three integers representing the x, y, z co-ordinates of the points. Absolute value of all co-ordinates lie between 0 and 100.
For each case print the minimum volume of the sphere. Errors less than 10-4 will be ignored.
Input | Output |
---|---|
2 3 1 2 3 5 -2 3 9 5 -12 2 1 0 0 5 21 -11 | 2757.47031865 7275.96129172 |