What is the time complexity of checking if a stack is empty?

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Question: What is the time complexity of checking if a stack is empty?

Options:

Correct Answer: O(1)

Solution:

Checking if a stack is empty is done in constant time, O(1), by checking if the size is zero.

What is the time complexity of checking if a stack is empty?

What is the time complexity of checking if a stack is empty?

Step 1: Understand what a stack is. A stack is a data structure that stores items in a last-in, first-out (LIFO) manner.
Step 2: Know that a stack has a property called 'size' which tells us how many items are currently in the stack.
Step 3: To check if the stack is empty, we need to see if the size is zero.
Step 4: Checking if the size is zero is a simple operation that does not depend on the number of items in the stack.
Step 5: Since this operation takes the same amount of time regardless of the stack's size, it is considered constant time.
Step 6: Therefore, the time complexity of checking if a stack is empty is O(1).

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