Intervals - Non-overlapping Intervals (Max Non-Overlap)
What is the space complexity of the recursive brute force approach that tries all subsets of intervals to find the maximum number of non-overlapping intervals?
What is the space complexity of the recursive brute force approach that tries all subsets of intervals to find the maximum number of non-overlapping intervals?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand recursion stack depth
Recursion explores subsets, max depth is n, so stack space is O(n).Step 2: Consider auxiliary space
Besides recursion stack, no extra large data structures are used, so total space is O(n).Final Answer:
Option B -> Option BQuick Check:
Recursion stack dominates space, O(n) [OK]
Quick Trick: Recursion stack depth = input size [OK]
Common Mistakes:
MISTAKES- Forgetting recursion stack
- Assuming constant space
- Confusing with DP table space
Trap Explanation:
PITFALL- Candidates often forget recursion stack space and pick O(1).
Interviewer Note:
CONTEXT- Tests understanding of space usage in recursive brute force.
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