Greedy Algorithms - Candy Distribution
What is the overall time complexity of the optimal candy distribution algorithm that uses two linear passes over an input array of length n?
What is the overall time complexity of the optimal candy distribution algorithm that uses two linear passes over an input array of length n?
medium📊 Complexity Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze passes
The algorithm performs two separate linear scans over the ratings array.Step 2: Combine complexities
Each pass is O(n), so total is O(n) + O(n) = O(n).Final Answer:
Option B -> Option BQuick Check:
Two linear passes imply linear time [OK]
Quick Trick: Two linear scans equal linear time complexity [OK]
Common Mistakes:
MISTAKES- Assuming nested loops cause O(n^2)
- Confusing sorting complexity with this algorithm
- Ignoring that passes are sequential, not nested
Trap Explanation:
PITFALL- Mistaking two passes as nested loops leads to O(n^2) assumption
Interviewer Note:
CONTEXT- Tests understanding of time complexity for two-pass greedy algorithms
Master "Candy Distribution" in Greedy Algorithms
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