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Solution: Recover a Tree From Preorder Traversal

Understand how to rebuild a binary tree from its preorder traversal string by using a depth-first search algorithm. Learn to parse node depths encoded as dashes and node values in a single pass. This lesson helps you handle tree structures efficiently and grasp the implementation details of tree reconstruction.

Statement

We perform a preorder depth-first traversal on a binary tree starting from its root.

  • For each node, we first write D dashes, where D is the depth of the node in the tree, followed by the node’s integer value.

  • The root node has depth 0.

  • If a node is at depth D, its children (if any) will appear at depth D + 1.

  • If a node has only one child, it will always be the left child.

You are given the string representation of this traversal. Your task is to reconstruct the original binary tree and return its root.

Constraints:

  • The number of nodes in the original binary tree lies within the range [1,500][1, 500].

  • 11 \leq node.data 103 ...