Nice problem!
Concept of complex numbers might help
:)
read question carefully!!!
Design test case carefully....
To avoid non-desired usages, like pi, it is necessary to not place pi in the function name. The function can be searched for forbidden function usages. There is an aspect of cat and mouse in Cody Challenges.
I agree. Disallow usage of PI for fairer scoring of your problem. Neat question!
How to find the position of an element in a vector without using the find function
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