Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 23.6, Problem 23.6.7CP
Program Plan Intro
Complete binary tree:
- A binary tree is said to be a complete if every level of the tree are full except the last level.
- The last level need not be full and all the leaves on the last level are placed left most.
Heap:
- A heap is considered to be binary tree if it has following properties
- When it is complete binary tree.
- Every node is greater than or equal to its children.
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Create a min heap by adding the following numbers: 100, 1, 10, 50, 2, 5Draw the heap after each insertion.
Show the heap tree after inserting each of the following keys in the same order given below. and also Trace Heap sort algorithm for the heap you obtained.
44, 66, 33, 88, 77, 55, 22
Starting with an empty minheap, draw the heap after each of the following operations
please see attached image.
Chapter 23 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 23.2 - Prob. 23.2.1CPCh. 23.2 - Prob. 23.2.2CPCh. 23.2 - Prob. 23.2.3CPCh. 23.3 - Prob. 23.3.1CPCh. 23.3 - Prob. 23.3.2CPCh. 23.3 - Prob. 23.3.3CPCh. 23.4 - Prob. 23.4.1CPCh. 23.4 - Prob. 23.4.2CPCh. 23.4 - What is wrong if lines 615 in Listing 23.6,...Ch. 23.5 - Prob. 23.5.1CP
Ch. 23.5 - Prob. 23.5.2CPCh. 23.5 - Prob. 23.5.3CPCh. 23.5 - Prob. 23.5.4CPCh. 23.6 - Prob. 23.6.1CPCh. 23.6 - Prob. 23.6.2CPCh. 23.6 - Prob. 23.6.3CPCh. 23.6 - Prob. 23.6.4CPCh. 23.6 - Prob. 23.6.5CPCh. 23.6 - Prob. 23.6.6CPCh. 23.6 - Prob. 23.6.7CPCh. 23.6 - Prob. 23.6.8CPCh. 23.6 - Prob. 23.6.9CPCh. 23.7 - Prob. 23.7.1CPCh. 23.7 - Prob. 23.7.2CPCh. 23.8 - Prob. 23.8.1CPCh. 23 - Prob. 23.1PECh. 23 - Prob. 23.2PECh. 23 - Prob. 23.3PECh. 23 - (Improve quick sort) The quick-sort algorithm...Ch. 23 - (Check order) Write the following overloaded...Ch. 23 - Prob. 23.7PECh. 23 - Prob. 23.8PECh. 23 - Prob. 23.10PECh. 23 - Prob. 23.11PECh. 23 - Prob. 23.12PECh. 23 - Prob. 23.13PECh. 23 - (Selection-sort animation) Write a program that...Ch. 23 - (Bubble-sort animation) Write a program that...Ch. 23 - (Radix-sort animation) Write a program that...Ch. 23 - (Merge animation) Write a program that animates...Ch. 23 - (Quicksort partition animation) Write a program...Ch. 23 - (Modify merge sort) Rewrite the mergeSort method...
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- Sort the following list of letters in alphabetical order by using heapsort: S, O, R, T, I, N, GShow each step, and represent the heap in an arrayarrow_forwardCreate a Max Heap tree given the following input values. 19, 7, 10, 55, 3, 42, 100, 8arrow_forwardShow the resulting heap after 33, 22, and 8 are added to the following heap 50 30 40 20 10 25 35 10 5arrow_forward
- When inserting an entry into a binary heap, we must perform reheapification. What is the purpose and complexity of this process?arrow_forwardCreate maximum heap using an unsorted array A= [12,4,7,43,89,32,8,1,50]arrow_forwardShow how HeapSort processes the input: 142, 543, 123, 65, 453, 879, 572, 434, 111, 242, 811, 102. Show the initial heap, and the heap after removing 1, 3, and 5 elements.arrow_forward
- 1. a Is this a min-heap or a max-heap?b. What is the value of the root node?c. What is the left child of node 14?d. What is the left child of node 26?arrow_forward2. Show the results of the following operations on an initially empty max heap: a. insert 2, 3, 4, 1, 9, one item at a time; b. delete one item from the heap; c. insert the item 7 and then the item 6; d. delete one item from the heap e. insert the item 5. [7] 3. Show the array presentation of tree that resulted from Question 2.arrow_forwardThe following is a max-heap. After inserting a new node with key equal to 88, what will the array look like? Before inserting: 87 78 30 65 35 28 19 16 28 After inserting:arrow_forward
- Construct a heap with following list of keys:8, 20, 9, 4, 15, lo, 7, 22, 3, 12arrow_forwardWe must perform reheapification when inserting an entry into a binary heap. What is the purpose of this process, and how complicated is it?arrow_forward8. Given a sequence of numbers: 19, 6, 8, 11, 4, 5(I) Draw a binary min-heap (in a tree form) by inserting the above numbers readingthem from left to right. (II) Show a tree that can be the result after the call to deleteMin() on the above heap.(III) Show a tree after another call to deleteMin().arrow_forward
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