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Fill in the blanks in each of the following: a. A self-_____ class is used to form dynamic data structures that can grow and shrink at execution time b. The _____ operator is used to dynamically allocate memory and construct an object; this operator returns a pointer to the object. c. A(n)_____ is a constrained version of a linked list in which nodes can be inserted and deleted only from the start of the list and node values are returned in last-in, first-out order. d. A function that does not alter a linked list, but looks at the list to determine whether it is empty, is an example of a(n)_____ function. e. A queue is referred to as a(n)_____ data structure, because the first mnodes inserted are the first nodes removed. f. The pointer to the next node in a linked list is referred to as a(n) _____. g. The _____ operator is used to destroy an object and release dynamically allocated memory. h. A(n)_____ is a constrained version of a linked list in which nodes can be inserted only at the end of the list and deleted only from the start of the list. i. A(n) _____ is a nonlinear, two-dimensional data structure that contains nodes with two or more links. j. A stack is referred to as a(n)_____ data structure, because the last node inserted is the first node removed. k. The nodes of a(n)_____ tree contain two link members. l. The first node of a tree is the _____ node. m. Each link in a tree node points to a(n) _____ or _____ of that node. n. A tree node that has no children is called a(n) _____ node. o. The four traversal algorithms we mentioned in the text for binary search trees are _____, _____, _____ and ______.

Short Answer

Expert verified
The completed blanks are: a) Self-Referential, b) new, c) Stack, d) Predicate, e) FIFO, f) Link, g) delete, h) Queue, i) Tree, j) LIFO, k) Binary, l) Root, m) Child or Subtree, n) Leaf, o) Inorder, Preorder, Postorder, Level-order.

Step by step solution

01

Recognize Self-Defined Class

The blank space for 'a' pertains to a class known for working with dynamic structures. Answer: Self-Referential
02

Identify Memory Allocation Operator

In 'b', the term refers to allocation of memory for object construction. Answer: new
03

Constrained Linked List Type

A 'c' refers to a structure where elements follow a Last-In-First-Out order. Answer: Stack
04

Function Type that Checks List

For 'd', the function checks, but does not change, the list. Answer: Predicate
05

Queue Characteristic

In 'e', the structure processes elements in a First-In-First-Out manner. Answer: FIFO
06

Node Link in List

For 'f', this pointer directs to the subsequent node in a list. Answer: Link
07

Memory Deallocation Operator

The term in 'g' is an operator responsible for releasing memory. Answer: delete
08

Constrained List Type

In 'h', this structure only permits insertion at one end and removal at the other. Answer: Queue
09

Description of a Tree Structure

For 'i', this describes a data structure with nodes having multiple links. Answer: Tree
10

Stack Data Structure Type

The 'j' describes a Last-In-First-Out structure. Answer: LIFO
11

Tree with Two Links

In 'k', each node contains two link members. Answer: Binary
12

Initial Tree Node

The 'l' term refers to the start node of a tree. Answer: Root
13

Tree Node Links

In 'm', the links reference a node's Offspring. Answer: Child or Subtree
14

Tree Node Without Children

For 'n', such a node is characterized by having no descendants. Answer: Leaf
15

Binary Tree Traversal Methods

The 'o' response includes specific strategies for traversing a tree. Answer: Inorder, Preorder, Postorder, Level-order

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Dynamic Data Structures
Dynamic data structures are a pivotal concept in C++ programming. They allow a program to manage data efficiently during runtime by growing and shrinking as needed. Unlike static data structures, such as arrays, that need a predefined size, dynamic data structures can expand or contract, offering flexibility.

This adaptability is achieved using self-referential classes. These are classes whose objects, or instances, contain references to other objects of the same class. This characteristic enables the creation of complex and changing structures like linked lists or binary trees that better manage storage in applications where data size changes unpredictably.

An example of this is a stack, a constrained linked list, where items are added and removed in a last-in, first-out (LIFO) manner. Similarly, a queue allows insertion at the end and deletion from the front, following a first-in, first-out (FIFO) order.
Memory Management in C++
Proper memory management in C++ is crucial to prevent resource leaks and ensure efficient application performance. This is done through dynamic memory allocation and deallocation. Memory is allocated with the `new` operator, which constructs an object or array, and returns a pointer to the newly allocated memory.

Once the memory's purpose is complete, the `delete` operator is employed to deallocate it. This releases the memory back to the system, avoiding memory leaks which could degrade performance.

Efficient memory handling requires careful tracking of allocated memory, especially in large-scale applications. C++ provides tools such as smart pointers in the Standard Library to automate some aspects of memory management, minimizing the risk of leaks and errors. Properly understanding and applying these principles and tools enables the development of robust, efficient C++ applications.
Linked Lists
Linked lists are a fundamental dynamic data structure composed of nodes connected via pointers. Each node typically contains data and a pointer to the next node, forming a chain. This structure allows for efficient insertion and deletion, unlike arrays which require elements to be shifted.

There are variations of linked lists, such as singly linked lists, where each node points to the next; doubly linked lists, with nodes that point both to the next and previous nodes; and circular linked lists, where the last node links back to the first, creating a circle.

A significant aspect of linked lists is traversal. A methodical approach is required to navigate through the nodes, often utilizing a `current` pointer to iterate from the head to the desired element or position. Employing linked lists effectively requires an understanding of these traversal methods and other list operations like insertion and deletion.
Binary Trees
Binary trees are a type of dynamic data structure that organizes data in a hierarchical manner. Each tree node contains a value and two pointers: left and right. The top node is known as the root, and nodes without children are called leaf nodes.

Binary trees are efficient for various operations such as searching, insertion, and deletion because they allow data to be quickly navigated using comparisons, reducing the need for sequential checks.

There are several traversal algorithms for binary trees, which define the order in which nodes are visited. These include inorder traversal (left subtree, root, right subtree), preorder traversal (root, left subtree, right subtree), postorder traversal (left subtree, right subtree, root), and level-order traversal (visits nodes level by level from root to leaves).

Understanding these traversal techniques, along with the general structure and operation of binary trees, is essential for leveraging their efficiency and power in problem-solving and application development.

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Most popular questions from this chapter

Write a program that inputs a line of text and uses a stack object to print the line reversed.

(Binary Tree Delete) In this exercise, we discuss deleting items from binary search trees. The deletion algorithm is not as straightforward as the insertion algorithm. There are three cases that are encountered when deleting an itemthe item is contained in a leaf node (i.e., it has no children), the item is contained in a node that has one child or the item is contained in a node that has two children. If the item to be deleted is contained in a leaf node, the node is deleted and the pointer in the parent node is set to null. If the item to be deleted is contained in a node with one child, the pointer in the parent node is set to point to the child node and the node containing the data item is deleted. This causes the child node to take the place of the deleted node in the tree. The last case is the most difficult. When a node with two children is deleted, another node in the tree must take its place. However, the pointer in the parent node cannot be assigned to point to one of the children of the node to be deleted. In most cases, the resulting binary search tree would not adhere to the following characteristic of binary search trees (with no duplicate values): The values in any left subtree are less than the value in the parent node, and the values in any right subtree are greater than the value in the parent node. Which node is used as a replacement node to maintain this characteristic? Either the node containing the largest value in the tree less than the value in the node being deleted, or the node containing the smallest value in the tree greater than the value in the node being deleted. Let us consider the node with the smaller value. In a binary search tree, the largest value less than a parent's value is located in the left subtree of the parent node and is guaranteed to be contained in the rightmost node of the subtree. This node is located by walking down the left subtree to the right until the pointer to the right child of the current node is null. We are now pointing to the replacement node, which is either a leaf node or a node with one child to its left. If the replacement node is a leaf node, the steps to perform the deletion are as follows: 1\. Store the pointer to the node to be deleted in a temporary pointer variable (this pointer is used to delete the dynamically allocated memory 2\. Set the pointer in the parent of the node being deleted to point to the replacement node. [Page \(1042]\) 3\. Set the pointer in the parent of the replacement node to null. 4\. Set the pointer to the right subtree in the replacement node to point to the right subtree of the node to be deleted. 5\. Delete the node to which the temporary pointer variable points. The deletion steps for a replacement node with a left child are similar to those for a replacement node with no children, but the algorithm also must move the child into the replacement node's position in the tree. If the replacement node is a node with a left child, the steps to perform the deletion are as follows: 1\. Store the pointer to the node to be deleted in a temporary pointer variable. 2\. Set the pointer in the parent of the node being deleted to point to the replacement node. 3\. Set the pointer in the parent of the replacement node to point to the left child of the replacement node. 4\. Set the pointer to the right subtree in the replacement node to point to the right subtree of the node to be deleted. 5\. Delete the node to which the temporary pointer variable points. Write member function deleteNode, which takes as its arguments a pointer to the root node of the tree object and the value to be deleted. The function should locate in the tree the node containing the value to be deleted and use the algorithms discussed here to delete the node. The function should print a message that indicates whether the value is deleted. Modify the program of Figs. 21.2021 .22 to use this function. After deleting an item, call the inorder, preorder and postorder TRaversal functions to confirm that the delete operation was performed correctly.

(Modifications to the Simple Compiler) Perform the following modifications to the Simple compiler. Some of these modifications may also require modifications to the Simpletron Simulator program written in Exercise 8.19 a. Allow the modulus operator (s) to be used in let statements. Simpletron Machine Language must be modified to include a modulus instruction. b. Allow exponentiation in a let statement using \(\wedge\) as the exponentiation operator. Simpletron Machine Language must be modified to include an exponentiation instruction. c. Allow the compiler to recognize uppercase and lowercase letters in Simple statements (e.g., 'A' is equivalent to 'a'). No modifications to the Simulator are required. d. Allow input statements to read values for multiple variables such as input \(x, y .\) No modifications to the Simpletron Simulator are required. [Page \(1055]\) e. Allow the compiler to output multiple values in a single print statement such as print a, \(b, c .\) No modifications to the Simpletron Simulator are required. f. Add syntax-checking capabilities to the compiler so error messages are output when syntax errors are encountered in a Simple program. No modifications to the Simpletron Simulator are required. g. Allow arrays of integers. No modifications to the Simpletron Simulator are required. h. Allow subroutines specified by the Simple commands gosub and return. Command gosub passes program control to a subroutine, and command return passes control back to the statement after the gosub. This is similar to a function call in \(\mathrm{C}++.\) The same subroutine can be called from many gosub commands distributed throughout a program. No modifications to the Simpletron Simulator are required. i. Allow repetition statements of the form for \(x=2\) to \(1 \theta\) step 2 simple statements next This for statement loops from 2 to 18 with an increment of \(2 .\) The next line marks the end of the body of the for. No modifications to the Simpletron Simulator are required. j. Allow repetition statements of the form for \(x=2\) to 10 simple statements next This for statement loops from 2 to 10 with a default increment of \(1 .\) No modifications to the Simpletron Simulator are required. k. Allow the compiler to process string input and output. This requires the Simpletron Simulator to be modified to process and store string values. [Hint: Each Simpletron word can be divided into two groups, each holding a two-digit integer. Each two-digit integer represents the ASCII decimal equivalent of a character. Add a machine-language instruction that will print a string beginning at a certain Simpletron memory location. The first half of the word at that location is a count of the number of characters in the string (i.e., the length of the string). Each succeeding half word contains one ASCII character expressed as two decimal digits. The machine-language instruction checks the length and prints the string by translating each two-digit number into its equivalent character. I. Allow the compiler to process floating-point values in addition to integers. The Simpletron Simulator must also be modified to process floating- point values. (A simple Interpreter) An interpreter is a program that reads a high-level language program statement, determines the operation to be performed by the statement and executes the operation immediately. The high-level language program is not converted into machine language first. Interpreters execute slowly because each statement encountered in the program must first be deciphered. If statements are contained in a loop, the statements are deciphered each time they are encountered in the loop. Early versions of the BASIC programming language were implemented as interpreters.

Write a program that uses a stack object to determine if a string is a palindrome (i.e., the string is spelled identically backward and forward). The program should ignore spaces and punctuation.

Write a function depth that receives a binary tree and determines how many levels it has.

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