The series expansion of ^{} is given by:

^{}^{}^{}

Evaluate ^{} for given values of by using the above expansion *for the first terms*.

**Input Format**

The first line contains an integer , the number of test cases.

lines follow. Each line contains a value of for which you need to output the value of ^{} using the above series expansion. These input values have exactly decimal places each.

**Output Format**

Output lines, each containing the value of ^{}, computed by your program.

**Constraints**

*Var*, *Val* in Scala and *def* and *defn* in Clojure are blocked keywords. The challenge is to accomplish this without either mutable state or direct declaration of local variables.

**Sample Input**

```
4
20.0000
5.0000
0.5000
-0.5000
```

**Sample Output**

```
2423600.1887
143.6895
1.6487
0.6065
```

**Explanation**

The output has the computed values of ^{} corresponding to each test case. They are correct up to decimal places and on separate lines.

**Scoring**

All test cases carry an equal weight in the final score. For your solution to pass a given test case, all the values of ^{} computed by you must be within of the expected answers. This tolerance level has been kept to account for slightly different answers across different languages.