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?
2
1
3
4
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 situations is MOST likely to benefit from using a priority queue?
Implementing a Last-In-First-Out (LIFO) data structure
Managing tasks based on their urgency level
Performing a breadth-first search in a graph
Storing a collection of sorted integers
In a priority queue, elements with the same priority are dequeued in what order?
The order they were enqueued
Sorted order based on an additional attribute
Random order
It depends on the specific priority queue implementation
What is the key advantage of using a linked list implementation for a queue over an array-based implementation?
Dynamic resizing to prevent overflow
Lower memory usage
Faster enqueue and dequeue operations
Easier to implement
What is the time complexity of inserting an element into a priority queue implemented using a binary heap (in the average case)?
O(1)
O(n log n)
O(n)
O(log n)
In Dijkstra's algorithm, how does a priority queue help in finding the shortest path?
It keeps track of visited nodes to avoid cycles
It prioritizes nodes based on their distance from the source node
It optimizes the relaxation step by providing efficient updates
It stores all possible paths and their lengths
You have a queue implemented using a linked list. What is the time complexity of finding the kth element from the front of the queue?
O(log k)
O(k)
When implementing a circular queue, what happens when you try to enqueue an element into a full queue?
The queue dynamically resizes to accommodate the new element
The oldest element is overwritten to make space
The enqueue operation is blocked until space becomes available
An error is thrown, preventing the operation
In a circular queue implemented using an array, what is the purpose of the rear pointer?
To point to the element that was most recently enqueued.
To indicate the next available position for enqueuing an element.
To track the number of elements currently present in the queue.
To mark the beginning of the queue in the circular array.