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Solution: Recover a Tree From Preorder Traversal

Explore how to reconstruct a binary tree from a preorder traversal string by implementing a depth-first search approach. Understand parsing techniques for node depth and values, then recursively build and return the binary tree rooted correctly. This lesson helps you master tree traversal reconstruction with efficient time and space complexity.

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 ...