Intervals - Non-overlapping Intervals (Max Non-Overlap)
What is the time complexity of the optimal greedy algorithm that finds the maximum number of non-overlapping intervals by sorting intervals by their end times?
What is the time complexity of the optimal greedy algorithm that finds the maximum number of non-overlapping intervals by sorting intervals by their end times?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze sorting step
Sorting intervals by end time takes O(n log n) time.Step 2: Analyze greedy selection
Iterating through intervals once is O(n).Final Answer:
Option D -> Option DQuick Check:
Sorting dominates, so total is O(n log n) [OK]
Quick Trick: Sorting dominates -> O(n log n) [OK]
Common Mistakes:
MISTAKES- Assuming O(n) due to single pass
- Confusing with DP complexities
- Thinking sorting is O(n^2)
Trap Explanation:
PITFALL- Candidates often forget sorting cost and pick O(n) incorrectly.
Interviewer Note:
CONTEXT- Tests understanding of time complexity of greedy scheduling.
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