Greedy Algorithms - Two City SchedulingWhat is the space complexity of the optimal greedy solution for Two City Scheduling that sorts and assigns in-place?AO(n^2) due to memoization tableBO(n) for storing sorted costs and auxiliary variablesCO(log n) due to recursion stack in sortingDO(1) constant space if sorting is in-placeCheck Answer
Step-by-Step SolutionSolution:Step 1: Consider sorting spaceIn-place sorting algorithms like Timsort use O(1) or O(log n) auxiliary space.Step 2: Consider assignment spaceAssignment uses constant extra variables, no additional data structures.Final Answer:Option D -> Option DQuick Check:In-place sorting and simple assignment yield O(1) space [OK]Quick Trick: In-place sorting + simple assignment -> O(1) space [OK]Common Mistakes:MISTAKESAssuming DP memoization spaceForgetting recursion stack in sortingCounting input storage as extra spaceTrap Explanation:PITFALLCandidates confuse DP space with greedy or forget sorting auxiliary space.Interviewer Note:CONTEXTTests understanding of space complexity in greedy approach
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