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Use recursion. If root.val <= V, you split root.right into two halves, then join it's left half back on root.right.
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BST manipulation problems like Split BST are common in technical interviews at large tech companies. They test understanding of tree recursion, pointer manipulation, and the ability to maintain structural invariants in a data structure.
The optimal approach uses recursion while leveraging the Binary Search Tree property. By comparing each node's value with the target, the algorithm decides which subtree to process and reconnects nodes accordingly. This allows the tree to be split in O(h) time where h is the tree height.
The BST property ensures that all values in the left subtree are smaller and all values in the right subtree are larger than the current node. This ordering allows the algorithm to decide quickly which subtree to split, reducing unnecessary traversal.
The problem primarily relies on Binary Search Trees and recursion. The recursive approach helps restructure subtrees while maintaining BST ordering, making the split efficient and clean.