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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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So it is not a correct representation.
The only issue I had was that it wasn't immediately clear whether the shift should increase by 1 every character (e.g. n+2 if shift is 2) or by the shift value for every character (e.g. 2n if shift is 2). The answer is that it should increase by 1 every character (n+2 if shift is 2) - which was the first option I tried.
Just so you know, in some non-integer bases (for example base pi), there are multiple possible representations for the same actual number.
For example, in base pi you could write "0.33" but this is actually greater than 1.