Greedy Algorithms - Minimum Domino RotationsWhat is the space complexity of the optimal single-pass greedy solution for the Minimum Domino Rotations problem?AO(n) due to auxiliary arrays storing rotationsBO(log n) due to divide and conquer recursionCO(n) due to recursion stack in candidate checksDO(1) constant space as only counters are usedCheck Answer
Step-by-Step SolutionSolution:Step 1: Analyze data structures usedOnly counters for rotations are maintained, no extra arrays.Step 2: Confirm no recursion or auxiliary storageAlgorithm is iterative with constant variables, no recursion stack.Step 3: Determine space complexityOnly constant counters -> O(1) space.Final Answer:Option D -> Option DQuick Check:Only constant counters -> O(1) space [OK]Quick Trick: No recursion or extra arrays used [OK]Common Mistakes:MISTAKESAssuming recursion or auxiliary arrays increase spaceTrap Explanation:PITFALLCandidates confuse iterative counting with recursive or DP space.Interviewer Note:CONTEXTTests space complexity understanding and iterative vs recursive distinction.
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