[Solved] Consider the following Python function implementi... Given intervals = [[1,4],[2,4],[3,6]] and queries = [2,5], what is the output of the function call min_interval_binary_search(intervals, queries)? | Intervals

Intervals - Minimum Interval to Include Each Query

Consider the following Python function implementing the binary search approach for the minimum interval problem. Given intervals = [[1,4],[2,4],[3,6]] and queries = [2,5], what is the output of the function call min_interval_binary_search(intervals, queries)?

A[3, 4]

B[3, 4]

C[3, 4]

D[3, 4]

Step-by-Step Solution

Solution:

Step 1: Sort intervals by length
Intervals sorted by length: [2,4] length=3, [1,4] length=4, [3,6] length=4.
Step 2: Binary search for each query
Query=2: smallest interval covering 2 is length=3 ([2,4]). Query=5: smallest interval covering 5 is length=4 ([3,6]).
Final Answer:
Option B -> Option B
Quick Check:
Output matches expected minimal interval lengths for queries [OK]

Quick Trick: Trace binary search narrowing on interval lengths [OK]

Common Mistakes:

MISTAKES

Off-by-one in interval length calculation
Incorrect binary search boundaries
Confusing start and end indices

Trap Explanation:

PITFALL

All options look identical but only one matches the correct trace; off-by-one errors are common.

Interviewer Note:

CONTEXT

Tests ability to mentally execute binary search and interval coverage logic.

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More Intervals Quizzes

Given intervals = [[1,4],[2,4],[3,6]] and queries = [2,5], what is the output of the function call min_interval_binary_search(intervals, queries)?

Step 1: Sort intervals by length

Step 2: Binary search for each query

Final Answer:

Quick Check:

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