In a stack, what is the time complexity of accessing the top element?

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Question: In a stack, what is the time complexity of accessing the top element?

Options:

Correct Answer: O(1)

Solution:

Accessing the top element of a stack is done in constant time, O(1), as it simply involves returning the last added element.

In a stack, what is the time complexity of accessing the top element?

In a stack, what is the time complexity of accessing the top element?

Step 1: Understand what a stack is. A stack is a data structure that follows the Last In, First Out (LIFO) principle.
Step 2: Know that the top element of a stack is the last element that was added.
Step 3: Realize that to access the top element, you just need to look at this last added element.
Step 4: Understand that this action of looking at the top element does not depend on the number of elements in the stack.
Step 5: Conclude that accessing the top element takes the same amount of time, regardless of how many elements are in the stack.
Step 6: Therefore, the time complexity for accessing the top element is O(1), which means it is done in constant time.

Time Complexity – Understanding how the time required to perform an operation scales with the size of the data structure.
Stack Data Structure – A stack is a collection of elements that follows the Last In, First Out (LIFO) principle.