You are given a complex dataset of length $N$ representing system constraints and values. Your task is to calculate the rotated matrix pivot using the **Search Peak Element** methodology. Ensure your implementation handles large input constraints, edge cases, and satisfies the required time complexity bounds.
Explanation: Applying Search Peak Element yields the optimal state of 12.
Explanation: Minimal input processes to 4.
Analyze constraints and compute optimal solutions step-by-step.
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