Practice Recursion Tree (12.7) - Recursion - ICSE 11 Computer Applications

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6 sample questions

Question 1.
What does a recursion tree represent?
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Think about each call's relation to the next.
Question 2.
Why is the base case important in recursion?
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What happens if we don't have a stopping condition?
3Question 3.
What is a recursion tree used for?
- Visualizing array sorting
- Displaying recursive calls
- Simplifying algorithms
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Recall the primary function of a tree in recursion.
4Question 4.
True or false: A base case in recursion allows the function to call itself indefinitely.
- True
- False
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What does a base case actually do?
Question 5.
Create a recursion tree for sum(n) = n + sum(n-1) starting from sum(5) and identify the base case.
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Trace how the function reduces to the base condition.
Question 6.
Analyze the performance impact of a recursion tree with overlapping subproblems by comparing it to an iterative solution for calculating Fibonacci numbers.
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Explore how many times each value is recomputed in the recursive case.

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