Intervals - Minimum Interval to Include Each Query
Suppose the problem is extended so that queries are streaming (online) and intervals can be updated dynamically (added or removed). Which approach best adapts to this variant?
Suppose the problem is extended so that queries are streaming (online) and intervals can be updated dynamically (added or removed). Which approach best adapts to this variant?
hard🎤 Interviewer Follow-up Q10 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand problem extension
Queries arrive online and intervals can be added or removed dynamically.Step 2: Evaluate approaches
Binary search and offline sorting approaches require static data, unsuitable for dynamic updates.Step 3: Identify suitable data structure
Segment trees or interval trees support dynamic interval insertion/removal and efficient query coverage checks.Final Answer:
Option B -> Option BQuick Check:
Dynamic interval queries require data structures supporting updates [OK]
Quick Trick: Dynamic queries require interval trees or segment trees [OK]
Common Mistakes:
MISTAKES- Trying to adapt offline approaches to online dynamic data
Trap Explanation:
PITFALL- Candidates often try to reuse offline sorting or binary search approaches, which fail with dynamic updates.
Interviewer Note:
CONTEXT- Tests candidate's ability to adapt to dynamic data and choose advanced data structures
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