Given three concentric circles whose radiuses are respectively, and are the moving points on the given three circles respectively. Determine the expected area of .

输入描述:

The first line contains one integer , denoting the number of test cases.
For each test case:
One line containing three integers , denoting the radiuses of three given concentric circles.

输出描述:

Print  lines each containing one real number with one decimal places after the decimal point, denoting the answer to curresponding test case.
It's guaranteed that the second decimal place after the decimal point is neither 4 nor 5.

2
1 1 1
2 3 5

0.5
5.5

For test case 1, the accurate answer is .