Give you an integer number n. Please find out the answer of the expression below.
1KB_img2.png
Please note that the submission limit of this problem is 1KB.
Input
There are multiple test cases (No more than 100). Each test case contains a single integer n (1 <= n <= 100).
Output
For each test case, print the answer in a line. The number should be rounded into 100 decimal digits.
Sample Input
1
2
Sample Output
2.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
2.7071067811865475244008443621048490392848359376884740365883398689953662392310535194251937671638207864