Given a high-dimensional input dataset or state graph of length $N$, calculate the optimal result using the **Trie XOR Maximum Span** algorithm. Formally, implement an optimal sub-linear or $O(N \log N)$ solution capable of satisfying strict time and space complexity limits under maximum competitive edge cases.
Explanation: By applying Trie XOR Maximum Span, the optimal hard constraint value evaluates to 63.
Explanation: Minimal edge input evaluates to 7.
Analyze constraints and compute optimal solutions step-by-step.
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