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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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I am yet to find out why this is the correct answer, and the approach with loop over integers (see my solution) is not.
This problem has probably an integer-based arthemetic solution.
And I have to find the pattern in the errors to arrive at this solution.
BTW Does it make sense to have floating point error in this question?