[Solved] Consider the following Python code implementing the min-heap approach... Given the input intervals = [[0,30],[5,10],[15,20]], what is the value of the heap after processing the second interval (i=1)? | Intervals

Intervals - Meeting Rooms II (Minimum Conference Rooms)

Consider the following Python code implementing the min-heap approach to find the minimum number of meeting rooms. Given the input intervals = [[0,30],[5,10],[15,20]], what is the value of the heap after processing the second interval (i=1)?

A[10]

B[30, 10]

C[30, 20]

D[5, 10]

Step-by-Step Solution

Step 1: Trace heap after first interval [0,30].
Heap contains [30] after pushing end time of first meeting.
Step 2: Process second interval [5,10].
Since 5 < 30 (heap[0]), no pop occurs; push 10. Heap now contains [10, 30] (min-heap property).
Final Answer:
Option B -> Option B
Quick Check:
Heap stores end times; after second interval, both 30 and 10 are in heap [OK]

Quick Trick: Heap stores end times; no pop if start < earliest end [OK]

Common Mistakes:

MISTAKES

Popping when start < earliest end
Confusing heap contents order
Forgetting to push current interval's end

Trap Explanation:

PITFALL

Candidates often mistakenly pop heap when start time is less than earliest end, missing that room is still occupied.

Interviewer Note:

CONTEXT

Checks candidate's ability to mentally execute heap operations and understand boundary conditions.

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More Intervals Quizzes

Given the input intervals = [[0,30],[5,10],[15,20]], what is the value of the heap after processing the second interval (i=1)?

Step 1: Trace heap after first interval [0,30].

Step 2: Process second interval [5,10].

Final Answer:

Quick Check:

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