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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.
Since groups are always very small, and both 2*n and n is O(n) there is no real reson for that kind of optimization unless you are really hurting for more perfomance.