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tells us about a small case then were gonna generalize that decision tree and then were gonna solve our generalization and its going to show us something interesting and thats going to tell us why we bound or lower bound comparison based sorting algorithms to n log n 3 steps thats what were gonna do this video so what I want to do is take us to the first step lets start with a really small example and see what we need to pay attention to in order to make sense of this ok so I want you to imagine this imagine we have an array we have an array three items how can I sort this array to sort these items with just comparisons pairwise comparisons I either can have an item be less than or equal to another item or greater than the item two forks two possibilities so thats what we have here and were gonna draw a tree and see how can we insert each of these items into these slots so first off I want to do a pair comparison that remember were working with comparisons here so we compare
