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Introduction to Top K Elements

Explore the top K elements coding pattern to efficiently identify the largest, smallest, or most frequent subsets within unsorted data. Understand how to use min and max heaps to maintain these elements and optimize time complexity from full sorting. This lesson equips you to implement efficient solutions for common problems like sorting by frequency, connecting ropes with minimum cost, and real-world tasks 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 ...