Boboge lives on the -th floor of a building with a total height of . This building has floors and each floor is of equal height, the height of first floor is .

You have to calculate the height of the floor Boboge lives in.

Example of n=3, m=4, k=10:

输入描述:

The first line contains an integer  --- the number of test cases.
Each test case is described by three integers  --- the floor Boboge lives in, number of total floors and total height of the building.

输出描述:

For each test case, output the height of the floor Boboge lives in. Your answer will be accepted if absolute or relative error does not exceed . Formally, let your answer be , and the jury's answer be . Your answer is considered correct if .

3
3 4 10
1 4 10
2 3 10

5.0000000000
0.0000000000
3.3333333333