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What is the space complexity of a recursive function that uses O(n) stack space?
Practice Questions
Q1
What is the space complexity of a recursive function that uses O(n) stack space?
O(1)
O(n)
O(n^2)
O(log n)
Questions & Step-by-Step Solutions
What is the space complexity of a recursive function that uses O(n) stack space?
Steps
Concepts
Step 1: Understand what space complexity means. Space complexity is a measure of how much memory an algorithm uses in relation to the input size.
Step 2: Recognize that a recursive function calls itself. Each time it calls itself, it adds a new layer to the call stack.
Step 3: Identify that the call stack grows with each recursive call. If the function makes 'n' recursive calls, the stack will have 'n' layers.
Step 4: Note that each layer in the call stack takes up space. Therefore, if there are 'n' layers, the total space used is proportional to 'n'.
Step 5: Conclude that the space complexity of the recursive function is O(n) because it uses O(n) stack space.
No concepts available.
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