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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.
To be less obscure, they are saying you climb the difference between the number given and where you came from, not the actual number.
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Project Euler problem 54 has a clearer explanation of the comparison/ranking rules.
Yet another case for including SymPy