Greedy Algorithms - Candy Distribution
What is the time complexity of the optimal two-pass greedy candy distribution algorithm for an input array of length n?
What is the time complexity of the optimal two-pass greedy candy distribution algorithm for an input array of length n?
medium🪤 Complexity Trap Q13 of Q15
Step-by-Step Solution
Step 1: Identify loops in the algorithm
Two separate passes over the array, each iterating from start to end or end to start once.Step 2: Analyze complexity of each pass
Each pass is O(n), no nested loops or sorting involved, so total time is O(n). Also, the candies array requires O(n) auxiliary space.Final Answer:
Option D -> Option DQuick Check:
Two linear scans and O(n) space for candies array [OK]
Quick Trick: Two linear passes -> O(n) time and O(n) space [OK]
Common Mistakes:
MISTAKES- Confusing repeated adjustment brute force with optimal approach
- Assuming sorting is needed
- Ignoring that passes are sequential, not nested
Trap Explanation:
PITFALL- O(n^2) looks plausible if candidate confuses with brute force repeated adjustment approach.
Interviewer Note:
CONTEXT- Checks if candidate distinguishes optimal linear time from naive quadratic solutions.
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