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← Logic & PuzzlesA binary search tree algorithm traverses a sorted array; which consequence ensures correct operation, particularly with dynamically changing data?
A)Always select the largest element
B)Maintaining the inductive property✓
C)Minimizing memory allocation overhead
D)Ignoring elements with duplicate values
💡 Explanation
Maintaining the inductive property ensures that for each subtree, all nodes to the left are smaller and all nodes to the right are larger, because the search process relies on this ordering to narrow the search space efficiently; therefore, inductive correctness is critical, rather than merely optimizing resource usage.
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