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You are given a list of intervals and need to count how many intervals remain after removing all intervals that are fully covered by another. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15
Intervals - Remove Covered Intervals
You are given a list of intervals and need to count how many intervals remain after removing all intervals that are fully covered by another. Which algorithmic pattern best fits this problem?
ADynamic Programming with state transitions based on interval endpoints
BBinary search on interval endpoints to find coverage
CGraph traversal to find connected components of overlapping intervals
DSorting intervals by start ascending and end descending, then scanning to count uncovered intervals
Step-by-Step Solution
Solution:
  1. Step 1: Identify problem requirements

    The problem requires removing intervals covered by others, which means containment checks.
  2. Step 2: Recognize pattern

    Sorting intervals by start ascending and end descending allows a single pass to detect coverage efficiently.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    Sorting + single pass is classic for coverage problems [OK]
Quick Trick: Sort by start asc, end desc to detect coverage [OK]
Common Mistakes:
MISTAKES
  • Confusing coverage with overlap
  • Using graph traversal unnecessarily
Trap Explanation:
PITFALL
  • Many candidates confuse coverage with overlap and pick graph or DP approaches incorrectly.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to recognize interval coverage pattern.
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