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Which of the following problems CANNOT be solved efficiently by counting intervals containing each point using line sweep or binary search?

easy🔍 Pattern Recognition Q2 of Q15
Intervals - Count of Intervals Containing Each Point
Which of the following problems CANNOT be solved efficiently by counting intervals containing each point using line sweep or binary search?
ACalculate the total length covered by the union of intervals
BCount the number of intervals overlapping with a given interval
CDetermine the maximum number of intervals overlapping at any point
DFind how many intervals cover each query point
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem types

    Counting intervals covering points or maximum overlaps can be done with line sweep or binary search.

  2. Step 2: Identify problem not solved by counting coverage

    Calculating total union length requires merging intervals or segment tree, not just counting coverage at points.

  3. Final Answer:

    Option A -> Option A

  4. Quick Check:

    Union length needs interval merging, not coverage counts [OK]
Quick Trick: Union length needs merging, not coverage counting [OK]
Common Mistakes:
MISTAKES
  • Assuming coverage counts give union length
  • Confusing maximum overlap with union length
  • Thinking interval overlap count solves union length
Trap Explanation:
PITFALL
  • Candidates often confuse counting coverage with computing union length, which requires different techniques.
Interviewer Note:
CONTEXT
  • Tests candidate's understanding of problem types solvable by interval coverage counting.
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