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Lecture
Analysis of Randomized Quick Sort
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Entropy and Algorithms: Applications in Sorting and Weighing
Covers the application of entropy in algorithms, focusing on sorting and decision-making strategies.
Merge Sort: Divide-and-Conquer Approach
Introduces the merge sort algorithm through the divide-and-conquer approach, emphasizing correctness and time analysis.
Heapsort and Priority Queues
Covers the Heapsort algorithm, which sorts arrays efficiently using max-heaps and introduces priority queues.
Insertion Sort: Basics and Analysis
Introduces Insertion Sort, explaining its basics, insertion process, and correctness analysis.
Parallel Sorting: Merge Sort Algorithm
Covers the implementation of a parallel merge sort algorithm in Scala, comparing its performance with quicksort.
Recursive Sorting: Merge Sort
Explains recursive sorting using Merge Sort and its linearithmic complexity.
Derivatives, O-Notation
Explores derivatives, O-Notation, extrema, and algorithm complexity in Analysis 1.
Heaps and Priority Queues
Explores heaps, heapsort, and priority queues, including operations and analysis.
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Covers the concept of Merge Sort, a highly efficient recursive sorting algorithm.
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Explores recursive sorting algorithms, recursion, dynamic programming, and the efficiency of recursive solutions.