Stacks and Queues - Complexity Analysis for Exam Prep

Stacks and Queues - Complexity Analysis - Numerical Applications

Q. If a queue is implemented using two stacks, what is the time complexity of dequeue operation in the worst case?

A. O(1)
B. O(n)
C. O(log n)
D. O(n^2)

Solution

In the worst case, the dequeue operation can take O(n) time because all elements may need to be transferred from one stack to another.

Correct Answer: B — O(n)

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Q. In a priority queue implemented with a binary heap, what is the time complexity of inserting an element?

A. O(1)
B. O(log n)
C. O(n)
D. O(n log n)

Solution

Inserting an element into a priority queue implemented with a binary heap has a time complexity of O(log n) due to the need to maintain the heap property.

Correct Answer: B — O(log n)

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Q. What is the average time complexity of accessing an element in a queue?

A. O(1)
B. O(n)
C. O(log n)
D. O(n^2)

Solution

Accessing the front element of a queue is done in constant time, O(1), as it does not require traversal.

Correct Answer: A — O(1)

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Stacks and Queues - Complexity Analysis - Numerical Applications

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