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Introduction to Top K Elements

Explore how to efficiently find the top K elements from unsorted data sets using heap data structures. Learn to apply min heaps for largest elements and max heaps for smallest elements, reducing sorting time and improving algorithmic performance. Understand practical applications like frequency sorting, minimum cost connections, and real-world scenarios such as ride-sharing and social media trend analysis.

About the pattern

The top k elements pattern is an important technique in coding that helps us efficiently find a specific number of elements, known as kk, from a set of data. This is particularly useful when we’re tasked with identifying the largest, smallest, or most/least frequent elements within an unsorted collection.

To solve tasks like these, one might think to sort the entire collection first, which takes O(nlog(n))O(n \log(n)) time, and then select the top k elements, taking additional ...