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Learn Data Structures and Algorithms in C#

Problem:Construct Binary Tree from Preorder and Inorder Traversal

Explore how to reconstruct a binary tree from given preorder and inorder traversal sequences. Understand the recursive approach to identify root nodes and divide subtrees, using dictionary lookups for efficient index retrieval. This lesson helps you build a clear, step-by-step solution and analyze its time and space complexities.

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Statement

You are given two integer arrays, preorder and inorder, representing the preorder traversal and inorder traversal of the same binary tree, respectively. Your task is to reconstruct and return the binary tree from these two traversal sequences.

Note: All values in the tree are unique, and every value present in inorder is also present in preorder.

Constraints:

  • 1≤1 \leq preorder.Length ≤3000\leq 3000

  • inorder.Length == preorder.Length

  • −3000≤-3000 \leq preorder[i], inorder[i] ...