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What is the space complexity of the optimal single-pass greedy solution for the Minimum Domino Rotations problem?

medium🪤 Complexity Trap Q6 of Q15
Greedy Algorithms - Minimum Domino Rotations
What is the space complexity of the optimal single-pass greedy solution for the Minimum Domino Rotations problem?
AO(n) due to auxiliary arrays storing rotations
BO(log n) due to divide and conquer recursion
CO(n) due to recursion stack in candidate checks
DO(1) constant space as only counters are used
Step-by-Step Solution
Solution:
  1. Step 1: Analyze data structures used

    Only counters for rotations are maintained, no extra arrays.
  2. Step 2: Confirm no recursion or auxiliary storage

    Algorithm is iterative with constant variables, no recursion stack.
  3. Step 3: Determine space complexity

    Only constant counters -> O(1) space.
  4. Final Answer:

    Option D -> Option D
  5. Quick Check:

    Only constant counters -> O(1) space [OK]
Quick Trick: No recursion or extra arrays used [OK]
Common Mistakes:
MISTAKES
  • Assuming recursion or auxiliary arrays increase space
Trap Explanation:
PITFALL
  • Candidates confuse iterative counting with recursive or DP space.
Interviewer Note:
CONTEXT
  • Tests space complexity understanding and iterative vs recursive distinction.
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