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Solution: Recover a Tree From Preorder Traversal

Explore how to reconstruct a binary tree given its preorder traversal string with depth-encoded node values. Learn to implement a depth-first search algorithm that parses node depths and values to build the tree recursively. Understand how this method efficiently processes the traversal string in a single pass, handling left and right children based on node depth.

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 ...