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.