Suppose intervals can be real numbers (floating points) instead of integers. Which modification to the optimal solution is necessary?

hard🎤 Interviewer Follow-up Q10 of Q15

Intervals - Remove Covered Intervals

AReplace sorting with a balanced tree structure to handle precision

BUse a stable sort and careful floating-point comparison to avoid precision errors

CNo modification needed; sorting and coverage check work the same

DUse integer rounding to convert intervals before sorting

Step-by-Step Solution

Solution:

Step 1: Identify floating-point issues
Floating points can cause precision errors in comparisons.
Step 2: Modify sorting and comparisons
Use stable sort and epsilon-based comparisons to handle precision safely.
Step 3: Avoid naive rounding
Rounding or replacing sorting with trees is unnecessary and may introduce errors.
Final Answer:
Option B -> Option B
Quick Check:
Stable sort + careful comparison handles floats [OK]

Quick Trick: Floating points require careful comparison, not rounding [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Interviewer Note:

CONTEXT

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