Queues and Stacks
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Questions and Answers

What is a key characteristic of an abstract class?

  • It has no methods.
  • It has at least one unimplemented method. (correct)
  • It cannot have constructors.
  • It can be instantiated directly.
  • A class inheriting from an abstract class must implement all abstract methods.

    False (B)

    Why can't you create instances of an abstract class?

    Because it has unimplemented methods

    A trait is seen as a property that we ____ in different classes.

    <p>mix</p> Signup and view all the answers

    What is a major limitation of using abstract classes according to the text?

    <p>They do not allow multiple inheritance. (D)</p> Signup and view all the answers

    Traits can only have unimplemented methods.

    <p>False (B)</p> Signup and view all the answers

    Match the following concepts with their descriptions:

    <p>Abstract Class = A class with at least one unimplemented method. Trait = A property that can be mixed into different classes. Inclusion Polymorphism = Allows a variable of a supertype to refer to objects of subtypes.</p> Signup and view all the answers

    The method signature in a subclass, that implements an abstract method, must _____ the signature in the abstract super class.

    <p>fit</p> Signup and view all the answers

    In the LinkedNodesStack implementation, what does the Node class primarily store?

    <p>An item and a reference to the next node (A)</p> Signup and view all the answers

    The topNode variable in LinkedNodesStack always points to the most recently added element.

    <p>True (A)</p> Signup and view all the answers

    What value does size hold for an empty stack in the LinkedNodesStack implementation?

    <p>0</p> Signup and view all the answers

    The push method in LinkedNodesStack creates a new Node object and puts it at the ______ of the linked list.

    <p>front</p> Signup and view all the answers

    Match the stack operations with their descriptions:

    <p><code>isEmpty</code> = Checks if the stack is empty <code>size</code> = Returns the number of elements in the stack <code>push</code> = Adds a new element to the top of the stack <code>pop</code> = Removes and returns the top element from the stack</p> Signup and view all the answers

    Which of the following best describes how the push method updates the stack?

    <p>It creates a new node and places it such that current top node is its <code>next</code>. (C)</p> Signup and view all the answers

    In the pop method, if the topNode is the last node in the list, the topNode becomes null after pop operation.

    <p>True (A)</p> Signup and view all the answers

    If the size of the LinkedNodesStack is 5 and the pop() method is called once, what will the size be after the method call?

    <p>4</p> Signup and view all the answers

    When an element is popped from an ArrayStack, where is the element temporarily stored?

    <p>At the position <code>amount - 1</code> (C)</p> Signup and view all the answers

    In the ArrayStack implementation presented, after an element is popped, the array slot is nulled to allow garbage collection.

    <p>True (A)</p> Signup and view all the answers

    What exception is thrown by the pop() method if the stack is empty?

    <p>Exception(&quot;Stack is empty&quot;)</p> Signup and view all the answers

    The running time of all methods in both implementations is considered to be ______ in terms of O-notation.

    <p>constant</p> Signup and view all the answers

    Match the memory behavior with stack implementations:

    <p>Linked nodes stack memory = Dynamically changes with the number of elements Array stack memory = Depends on the capacity of the underlying array Linked nodes stack = uses references to the elements and next node Array stack = stores elements next to each other</p> Signup and view all the answers

    Which of the following statements is true regarding the memory usage of different stack implementations?

    <p>Linked nodes stack memory changes dynamically with memory (C)</p> Signup and view all the answers

    Array implementations are always slower due to extra time required for memory access.

    <p>False (B)</p> Signup and view all the answers

    What two issues regarding array stack's memory usage were discussed?

    <p>wasted space and the restrictions</p> Signup and view all the answers

    In the ListStack implementation, what happens if the stack is empty when pop is called?

    <p>It throws an exception. (D)</p> Signup and view all the answers

    In the ArrayStack implementation, the capacity is the actual number of elements currently stored in the array.

    <p>False (B)</p> Signup and view all the answers

    In the ArrayStack implementation, which variable stores the index of the next available slot in the array when push is called?

    <p>amount</p> Signup and view all the answers

    In the ArrayStack implementation, the oldest element is stored at index ______ of the array.

    <p>0</p> Signup and view all the answers

    Match the following concepts with their descriptions within the provided stack implementations:

    <p><code>topNode</code> = Reference to the most recently added element in <code>ListStack</code> <code>amount</code> = Number of elements currently stored in <code>ArrayStack</code> <code>capacity</code> = Maximum number of elements <code>ArrayStack</code> can hold</p> Signup and view all the answers

    In the ListStack implementation, what is the purpose of topNode = topNode.next in the pop method?

    <p>It moves the top reference to the next element in the list, effectively removing the top one. (D)</p> Signup and view all the answers

    If the amount in ArrayStack is equal to the array length, pushing a new element will result in exception being thrown.

    <p>True (A)</p> Signup and view all the answers

    What does ClassTag indicate in the ArrayStack class definition?

    <p>It is needed for creating arrays of arbitrary types.</p> Signup and view all the answers

    What is the main purpose of the resize() method in the DynamicArrayStack implementation?

    <p>To adjust the size of the underlying array when needed. (D)</p> Signup and view all the answers

    The resize() method is called every time an element is pushed or popped.

    <p>False (B)</p> Signup and view all the answers

    What is the amortized running time of push and pop operations in the dynamic array stack implementation?

    <p>O(1)</p> Signup and view all the answers

    The dynamic array implementation of the stack guarantees that the ratio between the number of elements in the stack and the size of the allocated arrays is always between _______ and 1.

    <p>0.25</p> Signup and view all the answers

    Match each scenario with the corresponding array size adjustment in the resize() method:

    <p>Current amount of elements is less than 1/4 of the array size = Array size is halved Current amount of elements is greater than or equal to the array size = Array size is doubled Current amount of elements is between 1/4 and 1 of the array size = No change in array size</p> Signup and view all the answers

    What happens to the old array when a new array is allocated in the resize method?

    <p>The old array is removed. (B)</p> Signup and view all the answers

    Dynamic array stack implementations have better caching performance than the linked nodes implementation.

    <p>True (A)</p> Signup and view all the answers

    What is a potential disadvantage of the dynamic array stack implementation?

    <p>Copying all elements when resizing.</p> Signup and view all the answers

    In a ArrayQueue, what condition indicates that the queue is empty?

    <p><code>front</code> is equal to <code>back</code> (B)</p> Signup and view all the answers

    In the ArrayQueue implementation, the back index always points to an occupied slot in the array.

    <p>False (B)</p> Signup and view all the answers

    What is the term used to describe the cyclic ordering of elements in the ArrayQueue?

    <p>ring buffer</p> Signup and view all the answers

    The capacity of the ArrayQueue is always one less than the number of positions in the array because the back index always indicates an ______ slot.

    <p>empty</p> Signup and view all the answers

    When does the enqueue method throw an exception?

    <p>When the queue is full (D)</p> Signup and view all the answers

    In the dequeue method, the element is removed from the array by setting the content at the front to null before moving the index front.

    <p>True (A)</p> Signup and view all the answers

    What is the formula to calculate the next position in the cyclic ordering when enqueuing an element where back is the current back index and n is array length?

    <p>(back + 1) % n</p> Signup and view all the answers

    Match the queue condition with their description within this code block:

    <p>Queue is empty = <code>front == back</code> Queue is full = (back + 1) % n == front Enqueue element = store the element in <code>array(back)</code>, and update <code>back</code> Dequeue element = store the element at <code>front</code>, update <code>front</code></p> Signup and view all the answers

    Flashcards

    Abstract Class

    An abstract class is a class that has at least one unimplemented (abstract) method. Abstract classes can't be directly instantiated but serve as blueprints for concrete subclasses.

    Subclasses of Abstract Classes

    A class that inherits from an abstract class must either implement the abstract methods or be declared abstract itself.

    Traits in OOP

    A trait is a construct that combines properties from different sources into a single entity.

    Traits for Reusability

    Traits are often used to define functionality that can be reused across different classes, promoting code reusability and modularity.

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    Capabilities of Traits

    Traits can include abstract methods, attributes, concrete methods, constructors and even inherit from other traits.

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    Stack

    A data structure that follows the Last-In-First-Out (LIFO) principle, allowing you to add (push) or remove (pop) elements only from the top.

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    Linked Node

    A node in a linked list storing data and a reference to the next node.

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    Node

    A private inner class within the LinkedNodesStack class, representing a single element in a stack.

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    topNode

    A reference to the node at the top of a linked list stack.

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    Stack Size

    The number of elements currently stored in a stack, a positive integer.

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    push(x)

    A method that adds an element to the top of a stack.

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    pop()

    A method that removes and returns the element at the top of a stack.

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    top()

    A method that returns the element at the top of a stack without removing it.

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    top of the stack

    The element at the top of the stack.

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    Array Implementation of a Stack

    An array implementation of a stack uses a fixed-size array to store elements. The stack grows by adding elements to the end of the array.

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    Amount in Array Stack

    The amount variable in an array-based stack keeps track of how many elements are currently in the stack.

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    Empty Stack

    A stack is considered empty when there are no elements in it.

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    Last Added Element Index

    In an array stack, the index amount - 1 points to the most recent element added.

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    Push Operation

    The push operation adds a new element to the top of the stack. In an array-based stack, it adds the element to the next available index in the array.

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    Pop Operation

    The pop operation removes and returns the element at the top of the stack. In an array-based stack, it removes the element at index amount - 1 and decrements the amount variable.

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    Constant Time Complexity

    In data structures, this refers to the time needed for an operation to complete. Operations with constant time complexity execute in the same amount of time regardless of the size of the data structure.

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    Linked List

    A data structure that allows for access to elements in a sequential way, where each element points to the next element. This type of structure offers flexibility in memory allocation.

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    Array

    A data structure where all elements are stored in contiguous memory locations, offering efficient access to elements at specific indices.

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    Memory Consumption

    This refers to the amount of memory a data structure requires. It can change based on the number of elements stored.

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    Memory Utilization Ratio

    The ratio between the actual number of elements used in a data structure and its maximum capacity. A large gap indicates wasted space.

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    Dynamic Memory Allocation

    The ability to dynamically change the size of a data structure as needed, responding to changes in data volume.

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    Ring Buffer in ArrayQueue

    The ArrayQueue class utilizes a fixed-size array to store elements. This array is treated as a circular buffer, where the front and back indices wrap around to create a continuous loop.

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    front and back Indices

    In the ArrayQueue, the front index points to the first element in the queue, and the back index points to the next available position for adding a new element.

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    Empty ArrayQueue

    An empty queue is characterized by the condition front == back. This means that both indices point to the same location, indicating no elements are present.

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    Full ArrayQueue

    A full queue is identified when (back + 1) % n == front, where n is the size of the array. This constraint ensures that there's always at least one empty slot for adding elements.

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    Enqueue in ArrayQueue

    The enqueue operation adds an element to the queue by storing it at the back index and then advancing the back index to the next available position in the circular buffer.

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    Dequeue in ArrayQueue

    The dequeue operation retrieves and removes the first element from the queue. It involves storing the element at the front index, setting that array position to null, and then moving the front index to the next position.

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    Capacity of ArrayQueue

    The array used in ArrayQueue is created with a specific capacity. This capacity represents the maximum number of elements the queue can hold. The actual number of elements in the queue (its size) can vary but never exceed the capacity.

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    Array Size vs. Capacity

    In the ArrayQueue implementation, the actual number of elements stored in the queue is one less than the capacity of the array. This is because the back index always points to an available slot, leaving one position unused.

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    DynamicArrayStack: resize() Function

    The resize() method in a DynamicArrayStack is responsible for adjusting the underlying array's size to accommodate changes in the number of elements in the stack.

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    DynamicArrayStack: resize() Purpose

    When the number of elements in the stack exceeds the array capacity (or falls below a quarter of the capacity), the resize() function dynamically resizes the array to either double or half its size. This maintains efficiency by preventing unnecessary memory waste.

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    DynamicArrayStack: resize() Trigger

    In a DynamicArrayStack, the resize() method is called after a push() or pop() operation to maintain an optimal ratio of elements to array size. This ensures that the array isn't too large or too small, preventing wasted memory and inefficient operations.

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    DynamicArrayStack push() Operation

    The push() operation adds an element to the top of the stack. In DynamicArrayStack, it also checks if the array needs resizing. If it does, resize() is called to ensure sufficient space.

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    DynamicArrayStack pop() Operation

    The pop() operation removes and returns an element from the top of the stack. It also involves a size check and potential resizing to handle a shrinking stack.

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    DynamicArrayStack: Ideal Ratio

    The DynamicArrayStack implementation aims to maintain a balance between array size and the number of elements in the stack. It targets a ratio between 0.25 and 1, signifying a good utilization of memory.

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    DynamicArrayStack: resize() Complexity

    While the resize() function might handle resizing the array, it involves copying all existing elements. This can lead to a worst-case time complexity of O(n) for individual push() and pop() operations.

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    DynamicArrayStack: Amortized Complexity

    Despite the potential for O(n) complexity in individual operations, resize() is strategically triggered to ensure optimal array size. As a result, the amortized time complexity of push() and pop() in a DynamicArrayStack is considered O(1) because the costly resize() operations are infrequent relative to the overall number of operations.

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    Study Notes

    Queues and Stacks

    • Abstract classes have at least one unimplemented method
    • Abstract classes cannot be instantiated, but they serve as templates for subclasses
    • Subclasses must implement abstract methods or be declared as abstract
    • Methods in subclasses must have the same signature as their abstract superclass counterparts
    • Traits are like abstract classes but can also include concrete methods and attributes
    • Traits define a new type, such as Ordering
    • Traits can inherit from other traits
    • Traits can't have multiple methods with the same signature
    • A student is a person who learns, and a lecturer/professor is a person who learns and works
    • Stacks use a Last-In, First-Out (LIFO) principle, so the last element added is the first one removed
    • Stacks are used in recursive function calls and for the back button in web browsers
    • Stacks are used for depth-first search in graph theory
    • Linked nodes store elements in nodes that reference the next element in a chain
    • The size and the top node is stored in a header
    • An empty stack or a stack with 3 elements consists of nodes, containing data and referencing the next node
    • Array stacks use a static sized array, and the number of elements is stored in a variable
    • Array implementation requires ClassTag for arbitrary data types that are stored in the array
    • Arrays have fixed capacity, meaning the size of the array does not change
    • Dynamic arrays adjust their size to accommodate the number of elements
    • Dynamic arrays use an invariant array.length /4 <= amount <= array.length
    • Dynamic arrays resize to accommodate the number of elements when the invariant is violated
    • Methods push, pop, top, isEmpty, and size are part of the stack specification
    • A queue uses a First-In, First-Out (FIFO) principle, so the first element added is the first one removed
    • Queues are used in operating systems for scheduling processes
    • In graph theory, queues are part of breadth-first search

    Abstract Data Types

    • Abstract data types (ADTs) describe the functionality of a data structure without specifying the concrete implementation
    • They have a specification that defines the data stored and operations on the data
    • The ADTs can have different implementations

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    Queues and Stacks PDF

    Description

    Explore the fundamental concepts of queues and stacks in this quiz. Learn about abstract classes, traits, and the principles of Last-In, First-Out (LIFO) used in stacks. Test your understanding of linked nodes and their applications in programming and algorithms.

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