# This is ridiculous!

Algebra Level pending

If
$$\Gamma(\frac{1}{2}) \cdot ln(i^i)=a \pi^b$$
$$i^{i}$$ is multivalued and can be written as $$e^{\ x }$$ for multiple values of x. For the question, only consider $$x \in (-\pi, \pi)$$

what is $$a+b$$?

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