Submit solution

Points:
7 (partial)

Time limit:
1.0s

Java
2.0s

Python
3.0s

Memory limit:
256M

Author:

Problem type

Leon is using a very powerful calculator.

Leon likes to play with calculators whenever he gets bored in class. Such fascinating devices! One day, an intriguing problem occurred to him:

If the equation contains number of 's, then given the values of and , what is the approximate value of ?

Leon is tasked with queries regarding this problem.
Apparently, he didn't perform these *countless calculator computations* well *enough*.

Can you help him?

#### Input Specification

The first line contains integer , the number of queries.

The following lines each contain two space-separated integers and .

#### Output Specification

For each query, output the approximate value of on its own line, accurate within an absolute error of .

For of the points, may be accurate within an absolute error of .

#### Sample Input

```
3
100 2
50 14
3 16
```

#### Sample Output

```
1.414213562
1.4484039
1.99999
```

## Comments