What is the time complexity of reversing a queue using a stack?

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Question: What is the time complexity of reversing a queue using a stack?

Options:

Correct Answer: O(n)

Solution:

Reversing a queue using a stack involves transferring all elements to the stack and then back to the queue, resulting in a time complexity of O(n).

What is the time complexity of reversing a queue using a stack?

What is the time complexity of reversing a queue using a stack?

Step 1: Understand that a queue is a data structure that follows the First In First Out (FIFO) principle, meaning the first element added is the first one to be removed.
Step 2: Understand that a stack is a data structure that follows the Last In First Out (LIFO) principle, meaning the last element added is the first one to be removed.
Step 3: To reverse a queue, we need to move all elements from the queue to the stack. This requires going through each element in the queue once.
Step 4: After all elements are in the stack, we then need to move them back to the queue. This also requires going through each element in the stack once.
Step 5: Since we go through all n elements of the queue twice (once to the stack and once back to the queue), the total number of operations is proportional to n.
Step 6: Therefore, the time complexity of reversing a queue using a stack is O(n).

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