To prove that BUBBLESORT terminates and A ′ [ 1 ] ≤ A ′ [ 2 ] ≤ … ≤ A ′ [ n ] where n = A . l e n g t h . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

Question

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Answer 1

Question

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

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Answer 2

Question

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Expert Solution & Answer

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Answer 3

Question

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Expert Solution & Answer

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Answer 4

Question

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Expert Solution & Answer

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See solution

Answer 5

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Answer 6

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

Answer 7

Chapter 2, Problem 2P

(a)

Program Plan Intro

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

Answer 8

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

Answer 9

(b)

Program Plan Intro

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

Answer 10

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

Answer 11

(c)

Program Plan Intro

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

Answer 12

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Answer 13

(d)

Program Plan Intro

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.3 - Prob. 1E Ch. 2.3 - Prob. 2E

To prove that BUBBLESORT terminates and A ′ [ 1 ] ≤ A ′ [ 2 ] ≤ … ≤ A ′ [ n ] where n = A . l e n g t h . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

Solution Summary: The author explains the algorithm of BUBBLESORT, which uses the swapping of elements with their neighborhood elements if the elements are not in correct order.

To prove that BUBBLESORT terminates and A′[1]≤A′[2]≤…≤A′[n] where n=A.length . Also, for showing the BUBBLESORT actually sort, what other things need to be proved.

To state loop invariant for the for loop in line 2-4 and also prove that it holds.

To state loop invariant for the for loop in line 1-4 and also prove that will allow to prove the inequality 2.3.

To find the worst case running time bubble sort and compare it with the running time of the insertion sort.

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Chapter 2 Solutions