Data Types and Structures Quiz

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Questions and Answers

What happens when trying to push an item onto a stack that is already full?

  • The stack automatically resizes to accommodate the new item.
  • The item replaces the top item of the stack.
  • The item is added to the bottom of the stack.
  • An OverflowError is raised. (correct)

What is the purpose of the peek method in the stack implementation?

  • To return the top item without removing it. (correct)
  • To remove the top item from the stack.
  • To clear the stack without removing items.
  • To check if the stack is full.

In the pop method, what occurs after an item is retrieved from the top of the stack?

  • The value is set to None at the top index. (correct)
  • An error is raised regardless of the stack's state.
  • The stack is cleared entirely.
  • The corresponding index is incremented.

What condition must be true for the pop operation to successfully execute?

<p>The stack must contain at least one item. (A)</p> Signup and view all the answers

Which of the following methods would you use to check if a stack is empty?

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

What operation is used to remove the top item from a stack?

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

What is a key characteristic of arrays regarding memory allocation?

<p>Contiguous memory allocation (B)</p> Signup and view all the answers

Which of the following statements about stack implementation is true?

<p>Items are removed in the reverse order of their addition. (A)</p> Signup and view all the answers

Which data structure allows for efficient insertion and deletion of elements?

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

What does the Peek operation do in a stack?

<p>Returns the top item without removing it. (A)</p> Signup and view all the answers

How does the access time of an array compare to that of a linked list?

<p>Array has O(1) access time, linked list has O(n) (D)</p> Signup and view all the answers

What structure is ideal for scenarios where reversal or tracing back actions is required?

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

What is a disadvantage of using arrays in terms of size?

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

In a linked list, what is represented by the 'next' attribute within a Node class?

<p>A reference to the next node. (C)</p> Signup and view all the answers

Which data structure typically has better cache performance due to locality of reference?

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

Which method would you use to check if a stack has no elements?

<p>IsEmpty (C)</p> Signup and view all the answers

Which of the following operations cannot be performed on a stack without first checking its state?

<p>Pop (C)</p> Signup and view all the answers

What type of memory usage do linked lists typically require?

<p>More memory due to pointers (A)</p> Signup and view all the answers

What describes the complexity of implementing linked lists compared to arrays?

<p>Complex due to pointer management (D)</p> Signup and view all the answers

In which data structure do you typically encounter the Last In, First Out (LIFO) principle?

<p>Stack (C)</p> Signup and view all the answers

What is a strength of arrays regarding element access?

<p>Fast access through direct indexing (B)</p> Signup and view all the answers

What is the primary purpose of a data structure?

<p>To organize data for efficient access (A)</p> Signup and view all the answers

Which of the following describes primitive data types?

<p>Data types supported directly by programming languages (D)</p> Signup and view all the answers

What distinguishes non-linear data structures from linear data structures?

<p>Non-linear data structures are not arranged in a sequential manner (B)</p> Signup and view all the answers

What does an abstract data type (ADT) primarily define?

<p>The operations that can be performed on the data structure (B)</p> Signup and view all the answers

Which of the following best illustrates a non-primitive data type?

<p>Array (D)</p> Signup and view all the answers

Which of the following is a characteristic of linear data structures?

<p>They operate in a sequential manner (D)</p> Signup and view all the answers

What is a key feature of derived non-primitive data types?

<p>They aggregate multiple elements or data types (B)</p> Signup and view all the answers

Which of the following statements about data is incorrect?

<p>Data does not require classification. (C)</p> Signup and view all the answers

What does the method is_full() in the Stack class check?

<p>If the stack has reached its maximum size. (B)</p> Signup and view all the answers

What happens when an element is pushed onto a full stack?

<p>The stack is resized to accommodate the new element. (A)</p> Signup and view all the answers

In the provided code, how is the new stack created when resizing?

<p>By creating an array filled with None of double the current size. (B)</p> Signup and view all the answers

What does the process in the INPUT-PROCESS-OUTPUT model indicate when the top is -1?

<p>The stack is empty and underflow occurs. (D)</p> Signup and view all the answers

When the push method is executed successfully, what does it print after the element is added?

<p>The current contents of the stack up to the top index. (C)</p> Signup and view all the answers

How is the stack's size managed upon initialization?

<p>The stack's initial size can be set and later adjusted. (C)</p> Signup and view all the answers

Which line of code in the push method actually adds an element to the stack?

<p>self.stack[self.top] = element (C)</p> Signup and view all the answers

What is the purpose of the line 'Decrement top by 1' in the INPUT-PROCESS-OUTPUT model?

<p>To indicate the last element's index once popped. (A)</p> Signup and view all the answers

What does the peek method return when the stack is empty?

<p>An IndexError exception (B)</p> Signup and view all the answers

What happens when you call the pop method on an empty stack?

<p>Raises an IndexError exception (A)</p> Signup and view all the answers

In a linked list-based stack, what is the purpose of the Node class?

<p>Create a linked list representation of the stack (A)</p> Signup and view all the answers

What does the is_empty method check for in the LinkedListStack?

<p>If the top node is None (D)</p> Signup and view all the answers

What will be the output of the push method in the LinkedListStack upon adding an item?

<p>The value of the item being pushed (B)</p> Signup and view all the answers

What type of data structure is being implemented in the LinkedListStack?

<p>Linked list (C)</p> Signup and view all the answers

How does the push method update the top of the stack?

<p>It points the new node to the current top and then assigns it to top (C)</p> Signup and view all the answers

Which method retrieves the current top item without removing it from the stack?

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

What data structure can be differentiated by its operations and structure from a simple array?

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

Which statement correctly describes the relationship between the next attribute in the Node class and the stack functionality?

<p>It points to the next node, forming a chain (D)</p> Signup and view all the answers

Flashcards

What is data?

Data is raw facts or information that we process or store.

What is a data type?

A classification of data that specifies what kind of data a variable can hold and what operations can be performed on it.

What is a data structure?

An organized way to store and manage data so that it can be accessed and modified efficiently.

What is an abstract data type (ADT)?

A conceptual model that defines the behavior and operations of a data structure without specifying how it's implemented.

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What is the role of data?

The raw information that is stored or processed.

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What is the role of a data type?

To classify and define how data is stored and what operations are allowed on it.

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What is the role of a data structure?

To provide efficient ways to store and manage data.

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What is the role of an abstract data type?

To define rules and behavior for managing data.

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Array

A data structure where elements of the same type are stored in consecutive memory locations. Each element is identified by an index.

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Linked List

A data structure made up of nodes, each containing data and a pointer to the next node. Nodes don't have to be stored in contiguous memory.

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Access Time in Arrays

Accessing elements in an array is fast because you can directly jump to the element using its index.

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Access Time in Linked Lists

Accessing elements in a linked list requires traversing from the beginning, following the pointers to reach the desired element.

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Insertion/Deletion in Arrays

Adding or removing elements in an array can be costly as it requires shifting existing elements to accommodate the change.

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Insertion/Deletion in Linked Lists

Adding or removing elements in a linked list is efficient as it only involves modifying pointers.

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Array Size

Arrays have a fixed size, and resizing requires copying elements to a new location.

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Linked List Size

Linked Lists are dynamic and can grow or shrink as needed, without requiring the overhead of resizing.

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What is a stack?

A stack is a data structure that follows the LIFO (Last-In, First-Out) principle. This means the last item added is the first one removed.

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What does LIFO mean?

LIFO stands for Last-In, First-Out. It describes how elements are added and removed from a stack: the last element added is the first one removed.

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What is the 'push' operation in a stack?

The 'push' operation adds a new item to the top of the stack.

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What is the 'pop' operation in a stack?

The 'pop' operation removes the top item from the stack.

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What does 'peek' do in a stack?

'Peek' returns the top item of the stack without removing it.

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What is the 'isEmpty' operation in a stack?

'isEmpty' checks if a stack is empty. It usually returns True if the stack is empty, False otherwise.

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What is the 'isFull' operation in a stack?

'isFull' checks if a stack has reached its maximum capacity (only relevant in fixed-size stacks).

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How do you add an element to a stack?

You add an element to the top of the stack using the 'push' operation. If the stack is full, it's an overflow error.

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How do you remove an element from a stack?

You remove the top element from the stack using the 'pop' operation. If the stack is empty, an error occurs.

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How do you check if a stack is empty?

You can use the 'is_empty' operation to determine if the stack contains any elements.

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How is a stack implemented?

A stack is typically implemented using an array or linked list. The top of the stack is where new elements are added (pushed) and removed (popped).

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What is the 'top' of a stack?

The 'top' of a stack refers to the index of the last element added (the most recently added element).

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What is the 'is_full' function for a stack?

The 'is_full' function checks if the stack is full. In an array-based implementation, it checks if space is available to add new elements.

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What is the 'resize_stack' function?

The 'resize_stack' function dynamically increases the size of the stack when it becomes full. This prevents overflow errors.

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What is the 'INPUT-PROCESS-OUTPUT' (IPO) model of a stack?

The IPO model explains the workflow of a stack's 'pop' operation: Input - the stack and its top index; Process - the algorithm to remove the top element; Output - the popped element (or an error if empty).

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Stack (Data Structure)

A linear data structure that follows the Last-In, First-Out (LIFO) principle. Think of a stack of plates—you can only access and remove the topmost plate.

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Array-Based Stack (Python)

A stack implemented using an array, where items are added and removed from the 'top' of the array. Limited by the fixed size of the array.

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Linked List-Based Stack (Python)

A stack built with linked lists, where items are nodes linked together. No fixed size limit, more flexible for growth.

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peek() Method

A stack operation that allows you to view the top item on the stack without removing it. Useful for inspecting the next item without changing the stack's state.

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pop() Method

A stack operation that removes and returns the top item from the stack. Decreases stack size.

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push() Method

A stack operation that adds an item to the top of the stack, increasing its size. The newly added item becomes the top element.

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is_empty() Method

A method used to check if the stack is empty. In Python, an empty stack is usually represented by a 'top' value of -1 or None.

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Top of the Stack

The top element of a stack, the most recently added item. It's the one that is accessed or removed first.

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Stack Underflow

A condition that arises when trying to pop an element from an empty stack. It's an error similar to trying to remove a plate from an empty stack.

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Stack Overflow

A condition that occurs when trying to push an element into a full stack. It's like trying to add another plate to a stack that's already full.

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Study Notes

Data

  • Data represents raw facts or information that is processed or stored.
  • Data types classify data specifying what kind of data a variable can hold and the operations that can be performed on that data.
  • Categories include primitive data types (e.g., int, float, char) directly supported by languages.
  • Also, non-primitive data types organize data (e.g., arrays, lists, classes).

Data Types

  • Data types specify the kind of data and the operations that can be performed on that data.
  • Examples include integer (int) for whole numbers and string (str) for text strings.

Data Structures

  • Data structures are organized ways to store and manage data for efficient access and modification.
  • Linear data structures are arranged sequentially (e.g., arrays, queues, stacks, linked lists).
  • Non-linear data structures (e.g., graphs, trees) do not have a linear arrangement.

Abstract Data Types (ADTs)

  • ADTs are conceptual models defining the behavior and operations of a data structure without specifying implementation details.
  • They focus on what operations can be performed, not how data is stored.
  • Rules and behavior for managing data are defined clearly.

Arrays

  • Arrays are linear data structures where elements of the same data type are stored in contiguous locations in memory.
  • Elements are identified by an index or key.
  • Access time is O(1) meaning it's extremely fast.
  • Resizing is fixed, not dynamically flexible.
  • Insertion/deletion is expensive, requiring shifting of elements to maintain order.

Linked Lists

  • Linked lists are linear data structures comprised of nodes where each node contains data and a pointer to the next node.
  • Accessing elements requires traversal, making access time O(n), which is slower.
  • Dynamic resizing.
  • Insertion/deletion operation is efficient.

Stacks

  • Stacks are linear data structures that follow the LIFO (Last-In, First-Out) principle.
  • Think of a stack of plates; the last plate added is the first one removed.
  • Operations include push (add to the top), pop (remove from the top), peek (inspect the top without removing it).

Queues

  • Queues are linear data structures that follow the FIFO (First-In, First-Out) principle.
  • Think of a line; the first person in line is the first one served.
  • Operations include enqueue (add to the rear), dequeue (remove from the front), peek (view the front without removing, optional).

Graphs

  • Graphs are non-linear data structures representing relationships between objects (vertices) using edges connecting them.

Trees

  • Trees are non-linear data structures with a hierarchical relationship.
  • Each node can have multiple children.
  • Examples include family trees, organizational hierarchies.

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