If a stack is implemented using an array, what is the time complexity of resizin

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Question: If a stack is implemented using an array, what is the time complexity of resizing the array when it is full?

Options:

Correct Answer: O(n)

Solution:

Resizing the array involves creating a new array and copying all elements, which takes O(n) time.

If a stack is implemented using an array, what is the time complexity of resizing the array when it is full?

If a stack is implemented using an array, what is the time complexity of resizing the array when it is full?

Step 1: Understand that a stack is a data structure that stores elements in a last-in, first-out (LIFO) manner.
Step 2: Know that when a stack is implemented using an array, it has a fixed size.
Step 3: Realize that when the stack is full and you want to add another element, you need to resize the array.
Step 4: Resizing the array means creating a new, larger array to hold more elements.
Step 5: Copy all the existing elements from the old array to the new array.
Step 6: Understand that copying all elements takes time proportional to the number of elements, which is O(n), where n is the number of elements in the stack.

Time Complexity of Resizing – Understanding how the time complexity of operations like resizing an array impacts the overall performance of data structures.