Question

Suppose an initially empty queue $Q$ has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the current size of $Q ?$

Name: Problem 7, Chapter 6: Data Structures and Algorithms in Java (computer science, physics, engineering, chemistry)
Uploaded: 2022-09-05T16:30:47-08:00
Duration: 1 min 22 s
Channel: Sarvesh Somasundaram
Description: Suppose an initially empty queue Q has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the current size of Q ?

   Suppose an initially empty queue $Q$ has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the current size of $Q ?$

Data Structures and Algorithms in Java (computer science, physics, engineering, chemistry)

Michael T. Goodrich,… 6th Edition

Chapter 6, Problem 7

Instant Answer

Solved by Expert Sarvesh Somasundaram

09/05/2022

Step 1

Each enqueue operation increases the size of the queue by 1. Therefore, after these operations, the size of the queue is $32$. Show more…

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Suppose an initially empty queue $Q$ has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the current size of $Q ?$

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Key Concepts

Queue Data Structure

A queue is a fundamental abstract data type that follows the First-In-First-Out (FIFO) principle. This means elements are added at one end (the rear) and removed from the other (the front), ensuring the order of processing is maintained from first to last.

Enqueue Operation

The enqueue operation is used to add an element to the rear of the queue. Each enqueue increases the number of elements in the queue unless there is a restriction or failure, making it essential in determining the overall count of items.

Dequeue Operation

The dequeue operation removes an element from the front of the queue. In cases where the queue is empty, this operation may return a special value such as null, indicating no element was available to remove. Only successful dequeues that remove an element should be counted when assessing the current size of the queue.

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