Intervals - Data Stream as Disjoint Intervals
Compare the brute force approach (rebuild intervals after each insert) and the balanced tree approach for maintaining disjoint intervals. When is the brute force approach preferable?
Compare the brute force approach (rebuild intervals after each insert) and the balanced tree approach for maintaining disjoint intervals. When is the brute force approach preferable?
hard⚖️ Approach Comparison Q8 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze brute force approach
Brute force inserts in O(1) but getIntervals costs O(n log n) due to sorting.Step 2: Analyze balanced tree approach
Balanced tree costs O(log n) per insert but getIntervals is O(n).Step 3: Determine trade-off
If insertions are frequent but getIntervals rare, brute force's cheap insertions are preferable.Final Answer:
Option A -> Option AQuick Check:
Brute force better when inserts frequent, queries rare [OK]
Quick Trick: Brute force favors frequent inserts, rare queries [OK]
Common Mistakes:
MISTAKES- Assuming balanced tree always better
Trap Explanation:
PITFALL- Candidates overlook query frequency impact on approach choice.
Interviewer Note:
CONTEXT- Tests trade-off reasoning between approaches.
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