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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.
While you are correct in pointing out that big O notation ignores multiplication by a constant, in many real life situtations halving runtime is a significant change.