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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.
Let's just say the "state of the art statistical model" isn't really accurate.
(I'm presumming you are talking about cases such as n = 5, score = 7, but I'd say that's covered by the "If this is not possible, return -1" part, if you're referring to something else, please clarify in a comment)