Central China Agricultural University Preliminaries A

Description

Diao Ze likes math very much, especially problems about equation. Now there are a problem for Diao Ze, but he's too lazy to solve it and he asks you for help:

Giving integers a and b , which satisfied the equation

Then your task was to calculate the value of x in the equation.

Input

The first line contains a integer T , indicating the total number of test cases. In all test case there are only one line contains the positive integers and

Output

For each test case, the output of the answer in one line. The answer should is rounded to 2 digits after the decimal point.

Sample Input

21 23 2

Sample Output

2.000.67

Central China Agricultural University Preliminaries A