Merge sort analysis

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This document discusses the analysis of insertion sort and merge sort algorithms. It covers the worst-case and average-case analysis of insertion sort. For merge sort, it describes the divide-and-conquer technique, the merge sort algorithm including recursive calls, how it works to merge elements, and analyzes merge sort through constructing a recursion tree to prove its runtime is O(n log n).

Engineering

Insertion Sort Analysis
Dr.AMIT KUMAR @JUET

The problem of sorting
Dr.AMIT KUMAR @JUET

Insertion Sort Example
Dr.AMIT KUMAR @JUET

Analysis of Insertion sort
Dr.AMIT KUMAR @JUET

Worst-case and Average-case
Analysis
Dr.AMIT KUMAR @JUET

Designing Algorithms
Dr.AMIT KUMAR @JUET

Divide and Conquer Sorting
Technique Analysis
Dr.AMIT KUMAR @JUET

Merge Sort Algorithm
Dr.AMIT KUMAR @JUET

Merge-Sort (A, p, r)
Dr.AMIT KUMAR @JUET

Action of Merge Sort
Dr.AMIT KUMAR @JUET

Analysis divide-and-conquer
algorithms
Dr.AMIT KUMAR @JUET

Proof by Picture of Recursion Tree
Dr.AMIT KUMAR @JUET

Construction of recursion tree
Dr.AMIT KUMAR @JUET

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