In a circular queue implemented using an array of size 5, if the front is at index 3 and the rear is at index 1, how many elements are present in the queue?
1
2
3
4
In a scenario simulating a print queue, where print jobs with higher priority should be executed first, which queue implementation is most suitable?
Circular queue
Priority queue
Deque (Double-ended queue)
Simple queue
In a priority queue implementation using a sorted array, what is the time complexity of the dequeue operation in the worst-case scenario?
O(n)
O(1)
O(n log n)
O(log n)
Which data structure is commonly used to implement a priority queue where efficient insertion and removal of the highest-priority element are crucial?
Doubly Linked List
Binary Heap
Hash Table
Binary Search Tree
In Dijkstra's algorithm, how does a priority queue help in finding the shortest path?
It prioritizes nodes based on their distance from the source node
It stores all possible paths and their lengths
It keeps track of visited nodes to avoid cycles
It optimizes the relaxation step by providing efficient updates
Which real-world scenario is best represented using a priority queue?
Storing a history of visited web pages in a browser
Scheduling tasks in an operating system based on their priority levels
Maintaining a list of recently used applications
Managing a print queue where documents are printed in the order they are received
You are designing a system where elements are added and removed from both ends. Which data structure is the most suitable?
Stack
Binary Tree
Deque
Queue
What happens when you dequeue from an empty circular queue?
An error is thrown
The front pointer moves to the next position
The operation has no effect
The queue becomes full
In the context of Breadth-First Search (BFS), how does a queue help explore a graph?
It maintains a list of visited nodes to prevent cycles.
It stores the path from the source node to the current node.
It ensures that nodes are visited in a depth-first manner.
It facilitates visiting all neighbors of a node before moving to the next level.
Which of the following data structures can be efficiently used to implement a priority queue?