# My Seventh Problem

Algebra Level 5

If a complex number $$j$$ exists such that

$$j^{j}=i$$

where $$i$$ is equal to the square root of $$-1$$, find it in the form

$$j=x+iy$$

and sum the real and imaginary parts correct to two decimal places.

If there is no such complex number $$j$$, write $$0$$ as your answer.

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