CS 2 Data Structures: Stacks, Queues, Templates

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Questions and Answers

Which characteristic distinguishes a stack from a queue?

  • Stacks utilize LIFO (Last-In-First-Out) ordering, while queues use FIFO (First-In-First-Out). (correct)
  • Stacks utilize FIFO (First-In-First-Out) ordering, while queues use LIFO (Last-In-First-Out).
  • Stacks can only be implemented with linked lists, while queues are implemented with arrays.
  • Stacks are unbounded in size, while queues have a fixed size limit.

In the context of data structures, what is the primary advantage of using a circular queue implemented with arrays?

  • It provides faster access to elements compared to linear queues.
  • It eliminates the need for shifting elements when dequeuing. (correct)
  • It allows for dynamic resizing of the queue.
  • It simplifies the implementation of priority queues.

What is the primary purpose of using stacks in the evaluation of postfix expressions?

  • To store the operators in the expression.
  • To temporarily store operands and compute intermediate results. (correct)
  • To keep track of the precedence of operators.
  • To convert the postfix expression into an infix expression.

Consider a class LinkedList templated on type T. Which of the following scenarios would most benefit from using a template?

<p>When the <code>LinkedList</code> class needs to be used with different data types (e.g., integers, strings, custom objects) across different instances. (C)</p>
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What is a key advantage of defining an overloaded operator directly within a class as opposed to defining it as an external function?

<p>It grants the operator direct access to the class's private members. (A)</p>
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What is the role of the Standard Template Library (STL) in C++?

<p>It provides a set of template classes and functions for common data structures and algorithms. (A)</p>
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In the context of binary search trees (BSTs), which of the following statements is always true regarding the relationship between a node and its descendants?

<p>All nodes in the left subtree have values less than or equal to the node's value. (D)</p>
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Which tree traversal algorithm visits the root node after visiting the left and right subtrees?

<p>Post-order traversal (D)</p>
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Which of the following is a direct implication of a binary search tree being 'balanced'?

<p>The height of the tree is minimized, leading to more predictable search times. (D)</p>
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What is the primary factor that determines whether a binary tree is a valid Binary Search Tree (BST)?

<p>The relationship between node values in the left and right subtrees (C)</p>
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Which data structure is most suitable for implementing a Last-In-First-Out (LIFO) behavior?

<p>Stack (B)</p>
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In a queue implemented using an array, what happens when the tail reaches the end of the array?

<p>The <code>tail</code> is reset to the beginning of the array (index 0) in a circular queue. (B)</p>
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Given a postfix expression 5 2 + 3 *, what is the correct order of operations when evaluating it using a stack?

<p>Push 5, push 2, add, push 3, multiply (D)</p>
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What is the primary benefit of using templates in C++ when creating a data structure like a linked list?

<p>It allows the data structure to work with different data types without rewriting the code. (D)</p>
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Why might you choose to overload an operator as a member function of a class rather than as a standalone function?

<p>To give the operator direct access to the class's private members. (C)</p>
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Which of the following is NOT a standard container provided by the C++ Standard Template Library (STL)?

<p><code>graph</code> (A)</p>
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In the context of trees, what distinguishes a 'leaf node' from other types of nodes?

<p>It has no children. (B)</p>
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What is the 'depth' of a node in a tree data structure?

<p>The number of edges from the root to the node. (D)</p>
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In a binary search tree (BST), which traversal method would typically output the nodes in ascending order?

<p>In-order traversal (B)</p>
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When deleting a node with two children from a binary search tree, a common approach is to replace it with its inorder successor or predecessor. What is the primary goal of this replacement?

<p>To maintain the binary search tree property. (C)</p>
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Flashcards

What is a Stack?

A data structure where the last element added is the first one removed (Last In, First Out).

What is a Queue?

A data structure where the first element added is the first one removed (First In, First Out).

What is LIFO?

Stacks use this ordering; the last element added is the first one removed.

What is FIFO?

Queues use this ordering; the first element added is the first one removed.

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What is a Circular Queue?

A queue implementation using an array where the head and tail pointers wrap around the array's boundaries.

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Reverse Polish Notation (RPN)

A mathematical notation where operators follow their operands.

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What are Templates?

Allow you to write code that can work with different data types without having to rewrite the code for each type.

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What is the Standard Template Library (STL)?

A collection of generic classes and functions provided with the C++ standard library.

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What is a Binary Tree?

A tree data structure where each node has at most two children, referred to as the left child and the right child.

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What is a Binary Search Tree (BST)?

A binary tree that is ordered such that for each node, all nodes in its left subtree are less than the node's value, and all nodes in its right subtree are greater than the node's value.

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What is the Root of a Tree?

The topmost node in a tree data structure.

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What is a Leaf Node?

A node in a tree that has no children.

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What is a Child Node?

A node that is directly connected to another node when moving away from the root. Every node in the tree (except the root) is a child node.

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What is a Parent Node?

A node that is directly connected to another node when moving towards the root.

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What is a Path to a Node?

A sequence of nodes and edges connecting a node to a descendant.

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What is the Depth of a Node?

The number of edges in the path from the root to the node.

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What is the Height of a Tree?

The length of the longest path from the root to any leaf.

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What is an Ancestor of a Node?

The node directly above a given node.

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What is a Descendant of a Node?

The node directly below a given node

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Study Notes

  • The document is a study guide for Midterm 2 of CS 2: Introduction to Data Structures.

Stacks and Queues

  • Stacks and queues are ADTs (Abstract Data Types).
  • Stacks use LIFO (Last In, First Out) ordering.
  • Queues use FIFO (First In, First Out) ordering.
  • Understand circular queue implementations using arrays.
  • Reverse Polish Notation (postfix) can be evaluated using stacks.

Templates

  • Overloaded operators in C++ classes are used to define custom behavior for operators when applied to objects of the class.
  • The syntax for adding an overloaded operator to a C++ class involves defining a function with the operator keyword followed by the operator symbol.
  • Adding the operator directly to the class allows it to access private data members, which is not possible for functions outside the class.
  • Templates enable writing generic code that can work with different data types.
  • The Standard Template Library (STL) provides pre-built template classes like vector, stack, queue, map, and set.

Trees

  • Know the terms related to trees: binary search tree, root, leaf, child node, parent node, path, length of a path, ancestors, descendants, depth, and height.
  • Know the different types of trees: binary tree, subtree, full binary tree, balanced tree, and binary search tree (BST).
  • Know how the following algorithms work and how to implement them:
    • Traversal through a tree using pre-order, in-order, post-order, and level-order traversals.
    • Determine if a tree is a legal BST.
    • Search for an item in a BST.
    • Adding a node to a BST/ Delete a node from a BST
    • Understand the benefits of balanced BST.

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