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What is the auxiliary space complexity of the optimal meeting overlap detection algorithm that sorts intervals in-place?

medium🪤 Complexity Trap Q6 of Q15
Intervals - Meeting Rooms I
What is the auxiliary space complexity of the optimal meeting overlap detection algorithm that sorts intervals in-place?
AO(n) due to recursion stack
BO(log n) due to sorting recursion stack
CO(n) due to auxiliary arrays
DO(1) if sorting is in-place
Step-by-Step Solution
Solution:
  1. Step 1: Consider sorting space

    In-place sorting like Timsort uses O(log n) recursion stack space.
  2. Step 2: Check additional space usage

    Overlap check uses O(1) extra space beyond sorting.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Sorting recursion stack causes O(log n) space [OK]
Quick Trick: In-place sort uses O(log n) stack space [OK]
Common Mistakes:
MISTAKES
  • Forgetting recursion stack space
  • Assuming O(1) always without sorting cost
Trap Explanation:
PITFALL
  • Candidates often ignore recursion stack space in sorting, picking O(1) incorrectly.
Interviewer Note:
CONTEXT
  • Tests understanding of space complexity including recursion stack.
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