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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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As in "it smells really funky"?
After realizing the assignment makes no sense as given, I had not zero but "negative infinity" motivation to try to divine what the clown who formulated it meant.
Unless completelly rewritten, it should be given as a prime example of how not to write a Kata.
The words before some absurd graph (as in mapping input to output) should actually make sense. It would be better to word it "given such sequence of input/output mappings, divine an algorithm that will pass some BS tests".
Absolutely demented "Kata", the assignment is extremely unclear, the labeling "patients/chairs" on the table is worse than wrong, suggested numbers certainly don't correspond to the insinuated "as far from others as possible, break ties by rounding down".
Extreme re-wording or nuking this brain-fart are the only options.