Intervals - Meeting Rooms II (Minimum Conference Rooms)
What is the auxiliary space complexity of the min-heap approach for Meeting Rooms II, considering the heap and sorting?
What is the auxiliary space complexity of the min-heap approach for Meeting Rooms II, considering the heap and sorting?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Consider sorting space
Sorting can be done in-place or O(log n) auxiliary space.Step 2: Consider heap space
Heap stores at most k end times, where k ≤ n, but heap operations use O(log n) stack space for balancing.Final Answer:
Option A -> Option AQuick Check:
Auxiliary space dominated by recursion/heap balancing O(log n) [OK]
Quick Trick: Heap and sorting use O(log n) aux space [OK]
Common Mistakes:
MISTAKES- Assuming O(n) space for heap storage
- Ignoring recursion/stack space
Trap Explanation:
PITFALL- Candidates confuse total space with auxiliary stack space.
Interviewer Note:
CONTEXT- Tests understanding of space complexity nuances in heap and sorting.
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