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Binary heap: Build heap proof

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The binary heap data structure supports a build heap operation that runs in O(n). Intuitively it might seem that it should run in O(n \log n) time since it performs an O(\log n) operation n/2 times. This article provides a proof of the linear run time.

Textbooks

Here are two CS textbooks I personally recommend; the Algorithm Design Manual (Steven S. Skiena) is a fantastic introduction to data structures and algorithms without getting to deep into the maths side of things, and Introduction to Algorithms (CLRS) which provides a much deeper, math heavy look.

 

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