What is the time complexity of reversing a stack using recursion?

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Question: What is the time complexity of reversing a stack using recursion?

Options:

Correct Answer: O(n)

Solution:

Reversing a stack using recursion has a time complexity of O(n) as each element is processed once.

What is the time complexity of reversing a stack using recursion?

What is the time complexity of reversing a stack using recursion?

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 reversing a stack means changing the order of elements so that the last element becomes the first and vice versa.
Step 3: Recognize that recursion is a method where a function calls itself to solve smaller parts of a problem.
Step 4: When reversing a stack using recursion, each element is removed from the stack one by one until the stack is empty.
Step 5: After the stack is empty, the elements are added back in reverse order.
Step 6: Each element is processed (removed and added back) exactly once during this process.
Step 7: Since there are 'n' elements in the stack, the total number of operations is proportional to 'n'.
Step 8: Therefore, the time complexity of reversing a stack using recursion is O(n).

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