With A = {5, 9, 2, 13, 1, 7}, trace the algorithm showing your steps and counting them as you go. How many steps did you go through? What is the time order of this algorithm for a list of size n?

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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Given the following algorithm

Algorithm mystry(list A)

n <-- length(A)

repeat

        swapped = false

        for i <-- 1 to n-1 do

           if A[i-1] > A[i] then

                          swap( A[i-1], A[i] ) //This exchanges the values of A[i-1] and A[i], assume it is 3 steps.

                          swapped = true

    until not swapped

Return A

 

  1. With A = {5, 9, 2, 13, 1, 7}, trace the algorithm showing your steps and counting them as you go.
  2. How many steps did you go through?
  3. What is the time order of this algorithm for a list of size n?
  4. What is Big-Oh for this algorithm? Show how you prove this. 
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