Question: In a stack, what is the time complexity of the \'top\' operation?
Options:
O(1)
O(n)
O(log n)
O(n^2)
Correct Answer: O(1)
Solution:
The \'top\' operation in a stack, which retrieves the top element without removing it, has a time complexity of O(1).
In a stack, what is the time complexity of the 'top' operation?
Practice Questions
Q1
In a stack, what is the time complexity of the 'top' operation?
O(1)
O(n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
In a stack, what is the time complexity of the 'top' operation?
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 what the 'top' operation does. The 'top' operation retrieves the element that is at the top of the stack without removing it.
Step 3: Consider how the 'top' operation works. It simply looks at the top element and gives it back.
Step 4: Realize that looking at the top element does not require any loops or extra steps. It is a direct access operation.
Step 5: Conclude that since it takes a constant amount of time to access the top element, the time complexity is O(1).
Time Complexity – Understanding how the efficiency of an operation is measured in terms of the time it takes to execute as the size of the input grows.
Stack Data Structure – A stack is a collection of elements that follows the Last In First Out (LIFO) principle, where the most recently added element is the first to be removed.
Top Operation – The 'top' operation retrieves the last element added to the stack without modifying the stack.
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