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Which approach guarantees an optimal and efficient solution?

easy🔍 Pattern Recognition Q11 of Q15
Intervals - Meeting Rooms I
You are given a list of meeting time intervals represented as pairs of start and end times. You need to determine if a single person can attend all meetings without any overlaps. Which approach guarantees an optimal and efficient solution?
AUse dynamic programming to find the maximum number of non-overlapping intervals.
BSort intervals by start time and check for any overlap by comparing each interval's start with the previous interval's end.
CUse a brute force nested loop to compare every pair of intervals for overlap.
DSort intervals by end time and greedily select intervals that finish earliest to maximize the number of meetings attended.
Step-by-Step Solution
  1. Step 1: Understand the problem requirement

    The problem asks if a single person can attend all meetings without overlap, so we must check if any intervals overlap.
  2. Step 2: Identify the correct approach

    Sorting intervals by start time and checking if any interval starts before the previous one ends guarantees detection of overlaps efficiently.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Sorting by start time and checking overlaps is the standard approach [OK]
Quick Trick: Sort by start time and check overlaps [OK]
Common Mistakes:
MISTAKES
  • Confusing sorting by end time with start time for overlap detection
Trap Explanation:
PITFALL
  • Sorting by end time is useful for maximizing non-overlapping intervals, but not for detecting any overlap among all intervals.
Interviewer Note:
CONTEXT
  • Tests if candidate can recognize the correct pattern for overlap detection, not interval scheduling optimization.
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