What is the space complexity of a queue implemented using two stacks?

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Question: What is the space complexity of a queue implemented using two stacks?

Options:

Correct Answer: O(n)

Solution:

The space complexity of a queue implemented using two stacks is O(n) as it requires space for all elements in the queue.

What is the space complexity of a queue implemented using two stacks?

What is the space complexity of a queue implemented using two stacks?

Step 1: Understand what a queue is. A queue is a data structure that follows the First In First Out (FIFO) principle.
Step 2: Understand what a stack is. A stack is a data structure that follows the Last In First Out (LIFO) principle.
Step 3: Know that we can implement a queue using two stacks. This means we will use two separate stacks to manage the elements of the queue.
Step 4: Realize that when we implement a queue with two stacks, we still need to store all the elements that are in the queue.
Step 5: Count the total number of elements in the queue. If there are 'n' elements, we need space for all of them.
Step 6: Conclude that the space required for the two stacks combined is still proportional to the number of elements, which is 'n'.
Step 7: Therefore, the space complexity of a queue implemented using two stacks is O(n).

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