Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 16.3, Problem 16.11CP
Explanation of Solution
Basic operations:
The basic operation is the initial step in the
- Normally, the algorithm executes the basic step in constant time rather than considering about the size of the input.
- So, it means that size of the bound does not affect the efficiency of the operations.
- The complexity of an algorithm can be found out by finding the number of basic steps required for an input.
Comparing the efficiency of an algorithm:
In the given question, one algorithm requires “
Expert Solution & Answer
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Students have asked these similar questions
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k – 1 (where k is an integer that is greater than 1). When the
algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 26?
For each integer n 2 1, let s, -1 be the number of operations the algorithm executes when it is run with an input of size n. Then s, =
and s =
for each integer k 2 1. Therefore,
So, S1, S21
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with constant
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|, which is
So, for every integer n 2 0, s,
It follows that for an input of size 26, the number of
... is
operations executed by the algorithm is s
which equals
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Two algorithms A, B sort the same problem. When you go through each algorithm and break them down into their primitive operations, each can be represented as below
A = n4 + 100n2 + 10n + 50
B = 10n3 + 2n2 + nlogn + 200
For very large values of n which of these algorithms explain why B
will run in the shortest time to solve the problem
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of
size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How
many operations does it execute when it is run with an input of size 24?
For each integernz 1, let s,-1 be the number of operations the algorithm executes when it is run with an input of size n. Then
for each integer 2 1. Therefore, So, S3. Sz.
is -Select-
and s,=
with constant
Select-
,which is
. So, for every integer n 2 0, s, =
It follows that for an input of size 24, the number
of operations executed by the algorithm is s
-Select-v
which equals
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Chapter 16 Solutions
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Ch. 16.1 - Prob. 16.1CPCh. 16.1 - Prob. 16.2CPCh. 16.1 - Prob. 16.3CPCh. 16.1 - Prob. 16.4CPCh. 16.2 - Prob. 16.5CPCh. 16.2 - Prob. 16.6CPCh. 16.2 - Prob. 16.7CPCh. 16.2 - If a sequential search is performed on an array,...Ch. 16.3 - Prob. 16.9CPCh. 16.3 - Prob. 16.10CP
Ch. 16.3 - Prob. 16.11CPCh. 16.3 - Prob. 16.12CPCh. 16.3 - Prob. 16.13CPCh. 16.3 - Prob. 16.14CPCh. 16.3 - Let a[ ] and b[ ] be two integer arrays of size n....Ch. 16.3 - Prob. 16.16CPCh. 16.3 - Prob. 16.17CPCh. 16.3 - Prob. 16.18CPCh. 16 - Prob. 1MCCh. 16 - Prob. 2MCCh. 16 - Prob. 3MCCh. 16 - Prob. 4MCCh. 16 - Prob. 5MCCh. 16 - Prob. 6MCCh. 16 - Prob. 7MCCh. 16 - Prob. 8MCCh. 16 - Prob. 9MCCh. 16 - Prob. 10MCCh. 16 - True or False: If data is sorted in ascending...Ch. 16 - True or False: If data is sorted in descending...Ch. 16 - Prob. 13TFCh. 16 - Prob. 14TFCh. 16 - Assume this code is using the IntBinarySearcher...Ch. 16 - Prob. 1AWCh. 16 - Prob. 1SACh. 16 - Prob. 2SACh. 16 - Prob. 3SACh. 16 - Prob. 4SACh. 16 - Prob. 5SACh. 16 - Prob. 6SACh. 16 - Prob. 7SACh. 16 - Prob. 8SACh. 16 - Prob. 1PCCh. 16 - Sorting Objects with the Quicksort Algorithm The...Ch. 16 - Prob. 3PCCh. 16 - Charge Account Validation Create a class with a...Ch. 16 - Charge Account Validation Modification Modify the...Ch. 16 - Search Benchmarks Write an application that has an...Ch. 16 - Prob. 8PCCh. 16 - Efficient Computation of Fibonacci Numbers Modify...
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