Intervals - Count of Intervals Containing Each Point
Given the following partial output of the line sweep algorithm result array: [3, 1, 0], and points [2, 5, 7], which of the following interval sets could produce this output?
Given the following partial output of the line sweep algorithm result array: [3, 1, 0], and points [2, 5, 7], which of the following interval sets could produce this output?
hard🔄 Reverse Engineer Q9 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze coverage at points
At point 2: 3 intervals cover it; at 5: 1 interval; at 7: 0 intervals.Step 2: Check each interval set
[[1,3],[4,5],[6,8]] intervals cover point 2 with intervals [1,3], point 5 with [4,5], and point 7 with none, matching output.Final Answer:
Option D -> Option DQuick Check:
Coverage counts match given output for points [2,5,7] [OK]
Quick Trick: Match coverage counts at each point to interval sets [OK]
Common Mistakes:
MISTAKES- Ignoring inclusive interval boundaries
- Miscounting intervals covering points
- Assuming intervals must be disjoint
Trap Explanation:
PITFALL- Candidates often miscount coverage or ignore interval boundaries when reasoning backwards.
Interviewer Note:
CONTEXT- Tests deep understanding of interval coverage and ability to reason backwards from output.
Master "Count of Intervals Containing Each Point" in Intervals
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