What is the time complexity of inserting an element into a stack implemented usi
Practice Questions
Q1
What is the time complexity of inserting an element into a stack implemented using an array?
O(1)
O(n)
O(log n)
O(n log n)
Questions & Step-by-Step Solutions
What is the time complexity of inserting an element into a stack implemented using an array?
Step 1: Understand what a stack is. 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 2: Know how a stack is implemented using an array. An array is a collection of elements stored in contiguous memory locations.
Step 3: Identify the operation for inserting an element into the stack, which is called 'push'.
Step 4: Realize that when you push an element onto the stack, you simply add it to the end of the array where the stack is currently storing its elements.
Step 5: Understand that adding an element to the end of an array (if there is space) is done in constant time, meaning it does not depend on the number of elements already in the stack.
Step 6: Conclude that the time complexity for the push operation in a stack implemented using an array is O(1), which means it takes the same amount of time regardless of how many elements are in the stack.
