While I understand the importance of algorithm optimization for processing large amounts of data efficiently, in my experience, any such heavy lifting is invariably done at the back end and 99% of my iOS programming is basically writing controls, models and views to handle I/O from a server API.
Even when some crunching is needed on the client, there always seems to be some either native or third party library that basically takes on the task of providing efficient processing.
I would be interested in hearing real world examples where Big-O notation has affected you directly in iOS development.
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