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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.
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Without the description there would be two types of people:
those who can (and want) to spend 1,2 maybe 4 hours working on combinatronics to derive working formulas (probably not optimal).
those going to wikipedia to find the straigth-forward description.
The first approach is challenging and very interesting (I've done the NIM kata this way and really enjoed it) but does not correspond to a real life approach of a problem. If you want to reinvent the wheel you can but no one is asking you for that.
I will remove the formulas to let people reinvent the wheel if they want but I will also give a link to wikipedia so that people are not bounded by an afternoon of combinatronics.