Step 1: Write the recurrence relation for merge sort: Step 2: Guess its complexity Step 3: Prove it using mathematical induction
Step 1: Write the recurrence relation for merge sort: Step 2: Guess its complexity Step 3: Prove it using mathematical induction
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Give the complexities of these three algorithms. In particular, give the proof of the complexity of the MergeSort
algorithm.
Select Sort
Insertion Sort
Merge Sort
Time complexity in Big O notation
Step 1: Write the recurrence relation for merge sort:
Step 2: Guess its complexity
Step 3: Prove it using mathematical induction
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