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Solution: Recover a Tree From Preorder Traversal

Explore reconstructing a binary tree from its preorder traversal string by implementing a depth-first search algorithm. Understand how to parse node depths and values, and recursively build the tree while maintaining correct parent-child relationships. This lesson equips you to handle tree recovery problems efficiently in coding interviews.

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 ...