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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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The biggest issue I have is that you want the solver to guess what's in your head. In this case it is woefully inefficient as Fibonacci numbers can be generated in logarithmic time while both bottom up and top down are linear.
On a separate note, there are plenty of recursion and Fibonacci-related katas (e.g., this: https://www.codewars.com/kata/59928e2889d6a01970000051) that test for efficiency. There are also some bottom up vs top down katas; the one that comes to mind is https://www.codewars.com/kata/the-fusc-function-part-2