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You have a list of intervals and a list of queries. For each query, you want to find the length of the smallest interval that includes it. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15
Intervals - Minimum Interval to Include Each Query
You have a list of intervals and a list of queries. For each query, you want to find the length of the smallest interval that includes it. Which algorithmic pattern best fits this problem?
ASliding window to find maximum coverage of queries
BOffline queries with sorting intervals and queries plus a min-heap for active intervals
CTwo pointers to merge overlapping intervals
DDynamic programming on interval endpoints
Step-by-Step Solution
Solution:
  1. Step 1: Identify problem requirements

    The problem requires finding the smallest interval covering each query, which suggests processing queries offline and efficiently managing intervals.
  2. Step 2: Match pattern to approach

    Sorting intervals and queries and using a min-heap to track active intervals is a classic pattern for minimum interval coverage queries.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Offline sorting + min-heap is the standard pattern [OK]
Quick Trick: Offline sorting + min-heap fits minimal covering interval queries [OK]
Common Mistakes:
MISTAKES
  • Confusing with interval merging or DP patterns
Trap Explanation:
PITFALL
  • Candidates often pick DP or sliding window because intervals are involved, but those don't efficiently handle queries for minimal covering intervals.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to recognize interval-query offline processing pattern
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