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 21.1, Problem 21.2CP
Program Plan Intro
Postorder traversal:
It process all the nodes of the tree in the following order.
- First, traverse all the nodes in the left subtree.
- Then, traverse all the nodes in the right subtree.
- Finally, traverse the root node.
Method “postorder” to print the values stored in a binary tree is as follows:
Node postorder(Node bTree)
{
//Check tree is not empty
if (tree != null)
{
//Print value of left subtree
postorder(bTree.left);
//Print value of right subtree
postorder(bTree.right);
//Print the root node value
System.out.print(bTree.value + " ");
}
}
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c. Given 2 Arrays of Inorder and preorder traversal.
Inorder sequence: {D B E A F C}
Preorder sequence: {A B D E C F}
Construct a tree and print the Postorder traversal.
b. Given the array representation of a binary tree [null value means the node is empty]:
[null, P, T, X, null, S, Q, U, null, null, Y, W, R, null, null, V]
i. Draw the binary tree.
i. Write the post-order and in-order traversal sequence of the tree.
i. Convert the tree to a complete binary tree.
What problems do you encounter when you try to define the concept of an inorder traversal for ternary trees?
Chapter 21 Solutions
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Ch. 21.1 - Prob. 21.2CPCh. 21.1 - Prob. 21.3CPCh. 21 - Prob. 1MCCh. 21 - Prob. 2MCCh. 21 - Prob. 3MCCh. 21 - Prob. 4MCCh. 21 - Prob. 5MCCh. 21 - Prob. 6MCCh. 21 - Prob. 7MCCh. 21 - Prob. 8MC
Ch. 21 - Prob. 9MCCh. 21 - Prob. 10MCCh. 21 - Prob. 11TFCh. 21 - Prob. 12TFCh. 21 - Prob. 13TFCh. 21 - Prob. 14TFCh. 21 - Prob. 15TFCh. 21 - Prob. 16TFCh. 21 - Prob. 17TFCh. 21 - Prob. 18TFCh. 21 - Prob. 19TFCh. 21 - Prob. 20TFCh. 21 - Prob. 21TFCh. 21 - Prob. 1FTECh. 21 - Prob. 2FTECh. 21 - Prob. 3FTECh. 21 - Prob. 1SACh. 21 - Prob. 2SACh. 21 - Prob. 3SACh. 21 - Prob. 4SACh. 21 - What is a priority queue?Ch. 21 - Prob. 6SACh. 21 - Prob. 7SACh. 21 - Prob. 1AWCh. 21 - Prob. 2AWCh. 21 - Prob. 3AWCh. 21 - Prob. 4AWCh. 21 - Prob. 5AWCh. 21 - Prob. 6AWCh. 21 - Prob. 7AWCh. 21 - Prob. 4PCCh. 21 - Prob. 6PC
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Similar questions
- Draw a single tree whose inorder traversal is and whose postorder traversal is f, a, g, b, h, d, i, c, j, e f.g, a, h, i, d. j, e, c, barrow_forwardSuppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z] a. Draw a complete BINARY tree from array A. b. Write preorder, inorder, and postorder traversal for the created complete binary tree. c. Draw a complete TERNARY tree from array A. d. Write preorder and postorder traversal for the created complete ternary. Draw the adjacency matrix and adjacency list for the complete ternary tree/graph. [You must consider the tree direction from top to bottom when drawing adjacency matrix and list]arrow_forwardWrite code for this question in C++ language only with proper comments and explaination.arrow_forward
- Suppose the nodes of a binary tree are unique and that you are given the order of elements as they are encountered in a preorder traversal and the order of the elements as they are encountered in a postorder traversal. Under what conditions can you accurately reconstruct the structure of the tree from these two traversal orders?arrow_forwardExamine a traversal of a binary tree. Let's say that visiting a node means to display the data in the node. What are the result of each of the following traversals of the tree included? It is preorder, postorder, inorder or level order?arrow_forwardAssume that the nodes of a binary tree are all unique and that you are provided the order of elements encountered in a preorder traversal and the order of elements encountered in a postorder traversal. Under what situations can you properly recreate the tree structure using these two traversal orders?arrow_forward
- Write the complete code for the problem as given belowarrow_forwardb. Given the array representation of a binary tree (null value means the node is empty]: [null, P, T, X, null, S, Q, U, null, null, Y, W, R, null, null, VM i. Draw the binary tree. [2]arrow_forward2. Create a binary tree for which two given lists of n labels 0, 1,..., n - 1 are formed through the tree's inorder and postorder traversals. Additionally, your method should identify inputs for which there is no solution to the issue.arrow_forward
- Are you familiar with the properties of trees that have minimum spanning? The use of language c is presumed.arrow_forwardQ12arrow_forwardDesign an interface for general trees—trees with unbounded degree. Make this interface as consistent as possible with BinaryTrees when the degree of a tree is no greater than 2arrow_forward
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