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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.
Get started now by creating a new collection.
If you program recursively, the intermediate fractions need to be stored in memory. But this probably only takes up a little more space on the stack until the function finally returns, so even with millions of calls it doesn't really matter.
I guess it's neglectable, the amount of recursions cannot be very high in any case.