Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 61P
Explanation of Solution
Comparison of experimental analysis of running time of methods:
As referred to code fragment 4.12 in the textbook, the following comparison is made between the running time of methods:
| example1() method | example2() method | example3() method | example4() method | example5() method |
| The method example1() determines the sum of integers in an array. | The method example2() determines the sum of integers in an array | The method example3() determines the sum of integers in an array | The method example4() determines the sum of prefix in an array | The method example5() determines the number of times second array stores the sum of prefix from first |
| It contains only one for loop and it is executed based on the value of “n”. | It contains only one for loop and it is executed based on the value of “n”. |
It contains two for loop. The outer for loop executes based on the value of “n” and the inner for loop executes based on the value of “j | It contains only one for loop and it is executed based on the value of “n” | It contains three for loop. The outer for loop executes based on the value of “n” and the next inner for loop executes based on the value of “n” and the final inner loop executes based on the value of “j”... |
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Analyze the following code fragment and provide an asymptotic (Θ) bound on the running time as a function of n. You do not need to give a formal proof, but you should justify your answer.
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Correct answer will be upvoted else Multiple Downvoted. Computer science.
You need to change this grouping so all components in it are equivalent (I. e. it contains a few events of a similar component).
To accomplish this, you pick some integer x that happens to some extent once in a, and afterward play out the accompanying activity quite a few times (perhaps zero): pick some portion [l,r] of the arrangement and eliminate it. Yet, there is one special case: you are not permitted to pick a fragment that contains x. All the more officially, you pick some adjoining aftereffect [al,al+1,… ,ar] to such an extent that ai≠x if l≤i≤r, and eliminate it. After expulsion, the numbering of components to one side of the eliminated portion changes: the component that was the (r+1)- th is presently l-th, the component that was (r+2)- th is currently (l+1)- th, etc (I. e. the leftover arrangement simply falls).
Note that you can not change x after you picked it.
For instance, assume n=6,…
Chapter 4 Solutions
Data Structures and Algorithms in Java
Ch. 4 - Prob. 1RCh. 4 - The number of operations executed by algorithms A...Ch. 4 - The number of operations executed by algorithms A...Ch. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Prob. 9RCh. 4 - Prob. 10R
Ch. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Prob. 17RCh. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Prob. 20RCh. 4 - Prob. 21RCh. 4 - Prob. 22RCh. 4 - Show that 2n+1 is O(2n).Ch. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - Prob. 34RCh. 4 - Prob. 35CCh. 4 - Prob. 36CCh. 4 - Prob. 37CCh. 4 - Prob. 38CCh. 4 - Prob. 39CCh. 4 - Prob. 40CCh. 4 - Prob. 41CCh. 4 - Prob. 42CCh. 4 - Prob. 43CCh. 4 - Draw a visual justification of Proposition 4.3...Ch. 4 - Prob. 45CCh. 4 - Prob. 46CCh. 4 - Communication security is extremely important in...Ch. 4 - Al says he can prove that all sheep in a flock are...Ch. 4 - Consider the following justification that the...Ch. 4 - Consider the Fibonacci function, F(n) (see...Ch. 4 - Prob. 51CCh. 4 - Prob. 52CCh. 4 - Prob. 53CCh. 4 - Prob. 54CCh. 4 - An evil king has n bottles of wine, and a spy has...Ch. 4 - Prob. 56CCh. 4 - Prob. 57CCh. 4 - Prob. 58CCh. 4 - Prob. 59CCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Perform an experimental analysis to test the...Ch. 4 - Prob. 63P
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