Triangle Height

Time limit1sMemory limit1024 MB

Summary

Given several triangle areas and base lengths, the task prints each triangle's height to two decimal places using h = 2a / b.

Level: Easy1 of 10
Topics: Implementation, Math
Solved: No attempts yet

Problem

Your math teacher asked you to write a program that helps him generate homework solutions. The program must find the height of a triangle from its area and base length.

The formula is:

$a = \frac{h \cdot b}{2}$

Here $a$ is the area, $b$ is the base length, and $h$ is the height.

Input

The first line contains a single integer $n$ , the number of lines that follow. Each line contains the area and base length of a triangle, separated by a single space.

area base

Output

For each input, print the height of the triangle with 2 decimal places in the following format:

The height of the triangle is #.## units

Examples1

Example 1

Input

4
200.533 40.5
10.6 1.11
30 30
3333 50.7

Expected output

The height of the triangle is 9.90 units
The height of the triangle is 19.10 units
The height of the triangle is 2.00 units
The height of the triangle is 131.48 units