Intervals - Merge Intervals
Suppose intervals are given as floating-point ranges (e.g., [1.5, 3.7]) instead of integers. Which modification is necessary to correctly merge intervals in this scenario?
Suppose intervals are given as floating-point ranges (e.g., [1.5, 3.7]) instead of integers. Which modification is necessary to correctly merge intervals in this scenario?
hard🎤 Interviewer Follow-up Q10 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand floating-point issues
Floating-point intervals may have precision errors causing incorrect overlap detection.Step 2: Adjust overlap condition
Overlap checks must consider epsilon tolerance to handle floating-point inaccuracies.Step 3: Sorting remains unchanged
Sorting by start time still applies, but overlap condition needs modification.Final Answer:
Option D -> Option DQuick Check:
Floating-point precision requires careful overlap checks [OK]
Quick Trick: Floating-point intervals need epsilon in overlap checks [OK]
Common Mistakes:
MISTAKES- Rounding intervals losing precision
- Ignoring floating-point precision issues
Trap Explanation:
PITFALL- Candidates often assume integer logic applies directly to floats without precision handling.
Interviewer Note:
CONTEXT- Tests ability to adapt merge intervals approach to floating-point inputs.
Master "Merge Intervals" in Intervals
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