Intervals - Meeting Rooms II (Minimum Conference Rooms)
What is the time complexity of the optimal min-heap approach for the Meeting Rooms II problem given n intervals?
What is the time complexity of the optimal min-heap approach for the Meeting Rooms II problem given n intervals?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze sorting step
Sorting intervals by start time takes O(n log n).Step 2: Analyze heap operations
Each interval is pushed and popped at most once; heap operations cost O(log n) each, total O(n log n).Final Answer:
Option B -> Option BQuick Check:
Sorting dominates; heap operations add log n factor [OK]
Quick Trick: Sorting + heap operations -> O(n log n) [OK]
Common Mistakes:
MISTAKES- Assuming O(n²) due to nested loops
- Ignoring sorting cost
Trap Explanation:
PITFALL- Candidates confuse brute force O(n²) with optimal heap approach.
Interviewer Note:
CONTEXT- Tests understanding of time complexity in interval scheduling.
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