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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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No, this is the correct way to phrase it. You can only apply a break to one continuous piece at a time.
This is a good piece of info; wish it was stated in the problem description!
I agree, although these would probably be called "slices" rather than "breaks" since it's pretty hard to break multiple pieces at once. I would be interested to see a separate kata interpreting the problem in this manner.
Do you think parts of people give birth?