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Very funny picture to explain what it is!

Source: @Tgrall

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It would make more sense to start with the fully formed sandwiches, map these to the number of ingredients in each sandwich, then shuffle/sort the ingredients so that each reducer has their own full collection of ingredient, then reduce the total number of each ingredients across all sandwiches. Never thought I'd be talking about MR in this fashion. 

Nice way to visualize Map Reduce paradigm

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