Algorithm design, analysis, optimization techniques, and computational problem-solving strategies for efficient and elegant solutions.
Priority queues are data structures that surface the most important item first. Learn how heaps power priority queues, where they appear in real systems, and how to implement them efficiently.
A practical deep dive into Heap Sort—how binary heaps work, why heap sort guarantees O(n log n), and how it compares to quicksort, mergesort, and selection sort across real systems.
A deep, honest exploration of Quick Sort—how partitioning creates order, why average-case performance beats guarantees, and how design choices shape real-world speed.
A methodical deep dive into Merge Sort—how divide-and-conquer beats quadratic time, why merging is where correctness lives, and how O(n log n) changes what is possible at scale.
A practical exploration of Selection Sort—how it works, why its invariant matters, when it performs well, and how it compares to Bubble Sort and Insertion Sort. Includes pseudocode, diagrams, benchmarks, and implementations across major languages.
A deep, practical exploration of Insertion Sort—how it works, why its loop invariant matters, when it outperforms more complex algorithms, and how it adapts across major programming languages.
