Greedy Algorithms - Candy DistributionWhat is the time complexity of the optimal two-pass greedy candy distribution algorithm for an input array of length n?AO(n) because each pass scans the array onceBO(n^2) due to nested loops in adjustmentCO(n log n) due to sorting or priority queue usageDO(n) but with O(n) auxiliary space for candies arrayCheck Answer
Step-by-Step SolutionStep 1: Identify loops in the algorithmTwo separate passes over the array, each iterating from start to end or end to start once.Step 2: Analyze complexity of each passEach 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:MISTAKESConfusing repeated adjustment brute force with optimal approachAssuming sorting is neededIgnoring that passes are sequential, not nestedTrap Explanation:PITFALLO(n^2) looks plausible if candidate confuses with brute force repeated adjustment approach.Interviewer Note:CONTEXTChecks if candidate distinguishes optimal linear time from naive quadratic solutions.
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