P4526 [Template] Adaptive Simpson's Method 2

Description

Compute the integral $\displaystyle{\int_0^\infty x^{\frac{a}{x}-x}\mathrm{d}x}$ Keep $5$ digits after the decimal point. If the integral diverges, output $\text{orz}$.

Input Format

One line containing a real number, the value of $a$.

Output Format

One line: the integral value or $\text{orz}$.

Explanation/Hint

$|a|\le50$. Please pay attention to the time and memory limits. Translated by ChatGPT 5