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Space Complexity of the Call Stack in Recursion

What is Tail Call Optimization?

The answer

It is a compiler feature (supported in languages like C++ and JS) that optimizes specific recursive functions to reuse the same stack frame, reducing space complexity to O(1).

More FAQs in Space Complexity of the Call Stack in Recursion

Yes, every recursive function call allocates memory on the system's Call Stack to store local variables and return addresses.

The space complexity is equal to the maximum depth of the recursion tree at any given time.

Although it makes O(2^N) total calls, the maximum depth of the tree at any one time is N. Therefore, the space complexity is O(N).

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