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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Suppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z]
a. Draw a complete TERNARY tree from array A.b. Write preorder and postorder traversal for the created complete ternary.c. 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 adjacencymatrix and list]
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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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- 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.arrow_forwardFind the inorder, preorder and postorder traversals for the following tree.arrow_forwardWhat problems do you encounter when you try to define the concept of an inorder traversal for ternary trees?arrow_forward
- 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_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, 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.arrow_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_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_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_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
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