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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.
Aside from rotation, there is another invariant between the two sets which is much simpler to calculate and allows it to become a matching problem. I think it's worth pointing this out because it is really possible on this kata to get lost in linear algebra.