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Learn Sorting as a connected topic across chapters, concepts, simulations, and interview reasoning.

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Article 1Cyclic Sort: Find Missing and Duplicate Numbers in O(n) Time, O(1) SpaceTLDR: If an array holds n numbers in range [1, n], each number belongs at index num - 1. Cyclic sort places every element at its correct index in O(n) time using O(1) space — then a single scan reveal16 minArticle 2Two Heaps Pattern: Find the Median of a Data Stream Without SortingTLDR: Two Heaps partitions a stream into two sorted halves. A max-heap holds everything below the median; a min-heap holds everything above it. Keep the heaps size-balanced and you can read the median15 minArticle 3Top K Elements Pattern: Find the Best K Without Sorting EverythingTLDR: To find the top K largest elements, maintain a min-heap of size K. For every new element, push it onto the heap. If the heap exceeds K, evict the minimum. After processing all N elements, the he14 min

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Two Heaps Pattern: Find the Median of a Data Stream Without Sorting15 min readCyclic Sort: Find Missing and Duplicate Numbers in O(n) Time, O(1) Space16 min readTop K Elements Pattern: Find the Best K Without Sorting Everything14 min read
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