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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.
You are right, I forgot or missed that part of the description and only looked at the base case for that; I fixed it, not that imho that changes much, as you surely need an efficient solution to get there.
Not sure about which language you are talking about, but I checked each one of them and inputs up to 1000000000 seems to be actually checked.
Error handling is usually explicitally requested and consequently checked or not :)