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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.
I was thinking on the same approach, good to know it might not be the most efficient. Now I am thinking of calculating the sum for each path at a time and compare its value the one from the previous path and keep the bigger one. There should be no problems of not having enough memory.