Greedy Algorithms - Jump Game II (Minimum Jumps)
What is the space complexity of the recursive brute force solution for Jump Game II, considering recursion stack and auxiliary space?
What is the space complexity of the recursive brute force solution for Jump Game II, considering recursion stack and auxiliary space?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze recursion depth
Maximum recursion depth equals the number of jumps, worst case up to n.Step 2: Consider auxiliary space
Each recursive call uses O(1) space, total stack space O(n) in worst case.Final Answer:
Option B -> Option DQuick Check:
Recursive stack grows linearly with input size [OK]
Quick Trick: Recursive stack depth equals input size -> O(n) space [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack space
- Assuming constant space for recursion
Trap Explanation:
PITFALL- Candidates often forget recursion stack space, assuming only auxiliary arrays count.
Interviewer Note:
CONTEXT- Tests understanding of recursion space overhead.
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