Edward the confectioner is making a new batch of chocolate covered candy. Each candy center is shaped as a cylinder with radius r mm and height h mm.
The candy center needs to be covered with a uniform coat of chocolate. The uniform coat of chocolate is d mm thick.
You are asked to calcualte the volume and the surface of the chocolate covered candy.
Input
There are multiple test cases. The first line of input contains an integer T(1≤ T≤ 1000) indicating the number of test cases. For each test case:
There are three integers r, h, d in one line. (1≤ r, h, d ≤ 100)
Output
For each case, print the volume and surface area of the candy in one line. The relative error should be less than 10-8.
Sample Input
2 1 1 1 1 3 5
Sample Output
32.907950527415 51.155135338077 1141.046818749128 532.235830206285