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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Expert Solution & Answer
Chapter 16.1, Problem 16.2CP
Explanation of Solution
Insertion sort:
- This is sorting
algorithm in which the first two elements of the array are taken and these elements are compared. If the swap is required, then it swaps the elements and places the elements in proper order. - Now, this becomes a sorted portion of an array. Then it starts with the third element of the array and it is compared with the already sorted portion.
- This is done to insert the elements relatively in correct position according to first two elements.
- If the swap is required on comparison, then it is need to shift the elements until the third elements is placed in it correct position.
- Now, the first three elements will be in sorted manner.
- This process is continued for the fourth and subsequent elements until all of the elements are inserted into proper positions.
Example:
Consider the elements to sort (3, 6, 5, 2, 1, 4).
- The number 3 is less than 6; so no changes are made; next number 6 is greater than 5. So, number 5 is inserted in between 3 and 6.
Expert Solution & Answer
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
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The correct proof will use 8 of the statements below.
Statements to choose from:
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9a0 + 8.
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Your Proof: Put chosen statements in order in this
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Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
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solution to the recurrence relation an = 9an-1 +8
with ao = 0."
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Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
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= 1 − 1 = 0, as required.
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ak
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By the recurrence relation, we have
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Is this true? The first recorded use of the phrase "when pigs fly" in print is in a 1616 play by Ben Jonson called "The Devil is an Ass," in which a character says, "When pigs fly, good-night!!"
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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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