Intervals - Remove Covered Intervals
What is the additional space complexity of the optimal in-place counting solution that sorts intervals and scans once?
What is the additional space complexity of the optimal in-place counting solution that sorts intervals and scans once?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze sorting space
Sorting typically uses O(log n) stack space for recursive quicksort or mergesort.Step 2: Analyze scanning space
Scanning uses O(1) additional variables.Step 3: Combine space usage
Total additional space is O(log n) due to sorting recursion stack.Final Answer:
Option B -> Option BQuick Check:
Sorting recursion stack dominates auxiliary space [OK]
Quick Trick: Sorting recursion stack uses O(log n) space [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack space
- Assuming O(1) total space including sorting
Trap Explanation:
PITFALL- Candidates forget sorting recursion stack space when claiming O(1) space.
Interviewer Note:
CONTEXT- Tests understanding of space complexity beyond obvious variables.
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