Exploring Data Structures and Analysis

Myra is analyzing the performance of different algorithms for her computer science project. What does Big O Notation represent in algorithm analysis?

• Big O Notation indicates the exact runtime of an algorithm.

• Big O Notation measures the average case of an algorithm's space complexity.

• Big O Notation is used to compare the efficiency of different programming languages.

• Big O Notation represents the upper bound of an algorithm's time complexity.

Arjun is organizing his books in a stack. Which of the following is a common operation to add a new book to his stack of books?

• Clear

• Peek

• Pop

• Push

Naira is looking for a specific book in her library, which has all the books arranged in a single row. What is the time complexity of accessing a book by its position in the row?

• O(n)

• O(log n)

• O(1)

• O(n^2)

Explain the purpose of pointers in data structures.

• Pointers are primarily used for sorting data in arrays.

• Pointers are used in data structures to manage memory efficiently and create complex data structures.

• Pointers are used to store string values directly.

• Pointers are only applicable in programming languages like Python.

What is the worst-case time complexity of a linear search?

• O(log n)

• O(1)

• O(n^2)

• O(n)

During a coding session, Tara is working on a project that requires her to manage function calls and implement an undo feature in her text editor. Which data structure should she use for implementing such functionality with minimal complexity?

• Queue

• Array

• Stack

• List

How do you push an element onto a stack?

• Remove the element from the bottom of the stack.

• Replace the top element with the new element.

• Add the element to the top of the stack.

• Add the element to the middle of the stack.

What is the time complexity of the pop operation in a stack?

• O(1)

• O(n)

• O(log n)

• O(n^2)

What is the role of the top pointer in a stack implementation?

• The top pointer manages the memory allocation for the stack.

• The top pointer tracks the most recent element in the stack.

• The top pointer indicates the size of the stack.

• The top pointer is used to store the minimum element in the stack.

Nikita is looking for her favorite book in a messy bookshelf where the books are not arranged in any order. What is the time complexity of searching for her book?

• O(1)

• O(log n)

• O(n log n)

• O(n)