Which algorithmic approach guarantees an optimal solution for this problem?
easy🔍 Pattern Recognition Q11 of Q15
Intervals - Minimum Interval to Include Each Query
You are given a list of intervals and a list of queries. For each query, you need to find the length of the smallest interval that contains that query point. Which algorithmic approach guarantees an optimal solution for this problem?
AUse a greedy approach by always picking the interval with the earliest start time that covers the query.
BUse dynamic programming to build a table of minimum intervals covering each possible query point.
CSort intervals by their length and use binary search combined with interval coverage checks for each query.
DFor each query, iterate over all intervals and pick the smallest covering interval (brute force).
Step-by-Step Solution
Solution:
Step 1: Understand problem constraints
The problem requires finding the smallest interval covering each query, which suggests sorting intervals by length to efficiently check coverage.
Step 2: Identify optimal approach
Sorting intervals by length and using binary search to limit checks to intervals up to a certain length allows efficient coverage verification for each query.
Final Answer:
Option C -> Option C
Quick Check:
Binary search on sorted intervals by length is optimal and avoids brute force [OK]
Quick Trick:Sort intervals by length and binary search coverage [OK]
Common Mistakes:
MISTAKES
Assuming greedy earliest start time always works
Trying DP over all points is inefficient
Using brute force for large inputs
Trap Explanation:
PITFALL
Greedy by start time looks plausible but fails when smaller intervals start later; DP is overkill and inefficient.
Interviewer Note:
CONTEXT
Tests if candidate can recognize the pattern and optimal approach beyond brute force.
Master "Minimum Interval to Include Each Query" in Intervals
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