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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.
In maths ( and Wikipedia ), this is called "partitioning".
Question
And how is this a kata issue?? You can ask questions under any specific solution, if that helps. Closing...
Edit: what the hell, sorry. It was showing up as issue to me. But you should use spoiler flag for questions like this.
You can search about fibonacci ladder problem where length of steps not greater than 2. Then think about generalization of this problem.