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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.
Fun graph kata and while I probably provided a sub-optimal solution it was still very much enjoyable figuring out all this incestous mess you've given us.