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binary heaps are especially useful data structures used in a variety of contexts but why would we want to use one how do they work and what problems do they solve to answer these questions lets start with a problem lets say you have some tasks to complete and each task has a priority some number representing the tasks importance one for your most important tasks two for the next tier of importance and so forth you want to organize tasks such that you can easily access your most important tasks first this way of organizing data is called a priority queue a collection of values where at any time we always want access to the most important item how would you store this data in a data structure you could use an array sorted by priority that makes it pretty quick to access high-priority items but with a fixed size array youll run into trouble if you ever need to add a new element into your priority queue theres no space for another item another option is a linked list with each node of