*Root to root
Problem
For a given natural number m, calculate:
\(x =\sqrt{m+\sqrt{2 \cdot m+...+\sqrt{n \cdot m + . ..}}}\).
Input data
The input to the program is a natural number m<=100.
Output
Print the value of the specified expression up to 6 significant digits after the decimal point (it is known that this expression consists of an infinite number of nested roots, for all specified m values, of course).
Examples
| # |
Input |
Output |
| 1 |
2 |
2.158477 |