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Problem F
Bootstrapping Number
Neelix has been working on making the Altonian warp bubble power itself up. While waiting for the system checks to complete, he saw a number on his screen and wondered if there is a number that powers itself up to this number.
Input
The first and only input line consists of a single integer $n$, the number Neelix saw on his screen.
Output
Output the number $x$, where $x^ x = n$. Your answer must have an absolute or relative error of at most $10^{-6}$.
Limits
-
$1 \leq n \leq 10\, 000\, 000\, 000$
| Sample Input 1 | Sample Output 1 |
|---|---|
4 |
2.0 |
| Sample Input 2 | Sample Output 2 |
|---|---|
42 |
3.20720196137 |
