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What is the space complexity of the recursive brute force solution for Best Time to Buy and Sell Stock II, and why?

medium🪤 Complexity Trap Q6 of Q15
Greedy Algorithms - Best Time to Buy and Sell Stock II
What is the space complexity of the recursive brute force solution for Best Time to Buy and Sell Stock II, and why?
AO(1) because no extra data structures are used
BO(n) due to recursion call stack depth
CO(n²) because of nested loops inside recursion
DO(log n) due to divide and conquer recursion
Step-by-Step Solution
Solution:
  1. Step 1: Identify recursion depth

    Recursion can go as deep as n calls, one per index.
  2. Step 2: Analyze auxiliary space

    Each recursive call adds to call stack, so space is O(n).
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Recursion depth = n -> O(n) space [OK]
Quick Trick: Recursion depth equals input size -> O(n) space [OK]
Common Mistakes:
MISTAKES
  • Forgetting recursion stack
  • Assuming constant space
  • Confusing time with space
Trap Explanation:
PITFALL
  • Candidates often ignore recursion stack space, assuming O(1).
Interviewer Note:
CONTEXT
  • Tests understanding of recursion space usage.
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