Tianjin University Online Judge
Contests Virtual Contests Problems Submit Runs Status Rank List Forum

3213.   Cup
Time Limit: 1.0 Seconds   Memory Limit: 65536K
Total Runs: 1345   Accepted Runs: 308

The WHU ACM Team has a big cup, with which every member drinks water. Now, we know the volume of the water in the cup, can you tell us it height?

The radius of the cup's top and bottom circle is known, the cup's height is also known.


The input consists of several test cases. The first line of input contains an integer T, indicating the num of test cases.

Each test case is on a single line, and it consists of four floating point numbers: r, R, H, V, representing the bottom radius, the top radius, the height and the volume of the hot water.

Technical Specification

1. T ≤ 20.
2. 1 ≤ r, R, H ≤ 100; 0 ≤ V ≤ 1000,000,000.
3. rR.
4. r, R, H, V are separated by ONE whitespace.
5. There is NO empty line between two neighboring cases.


For each test case, output the height of hot water on a single line. Please round it to six fractional digits.

Sample Input

100 100 100 3141562

Sample Output


Source: The 4th Baidu Cup Central China Invitational Programming Contest
Submit   List    Runs   Forum   Statistics

Tianjin University Online Judge v1.3.0
Maintance:Fxz. Developer: SuperHacker, G.D.Retop, Fxz