**Binary Tree Construction from Traversals****Problem Statement:**You are given the preorder and inorder traversals of a binary tree of integers that contain no duplicates. Using this information, reconstruct the binary tree and draw it.**Inorder Traversal:** [4, 9, 7, 3, 1, 5, 2, 6, 8, 0]**Preorder Traversal:** [1, 7, 4, 9, 3, 2, 5, 8, 6, 0]**Explanation:**1. **Understanding Traversals:** - **Inorder Traversal** lists the nodes as they appear from left to right. - **Preorder Traversal** begins with the root and then lists nodes from left to right.2. **Reconstruction Steps:** - Use the first element of the preorder list as the root (1 in this case). - Locate the root in the inorder list to divide it into left and right subtrees.3. **Detailed Steps:** - **Root Node:** The first element of the preorder traversal is 1. - **Left Subtree:** Based on the inorder list, elements left of 1 are [4, 9, 7, 3]. - **Right Subtree:** Elements right of 1 in the inorder list are [5, 2, 6, 8, 0].4. **Continuing Recursively:** - For the left subtree, use the next element in preorder (7) to find its position in the inorder list [4, 9, 7, 3] and repeat. - For the right subtree, continue using the preorder sequence starting immediately after elements allocated to the left subtree.5. **Drawing the Tree:** - Use the above logic to iteratively divide and assign elements to build the tree from root, then left to right.**Result:**A binary tree constructed using the provided preorder and inorder traversals, achieving a balanced structure as defined by the traversal orders.

The In order , pre order and post order are the different types of tree traversal techniques . The…

You are given the preorder and inorder traversals of a binary tree of integers that contains no duplicates. Using this information, reconstruct the binary tree and draw it. Inorder: [4, 9, 7, 3, 1, 5, 2, 6, 8, 0] Preorder: [1, 7, 4, 9, 3, 2, 5, 8, 6, 0]

You are given the preorder and inorder traversals of a binary tree of integers that contains no duplicates. Using this information, reconstruct the binary tree and draw it. Inorder: [4, 9, 7, 3, 1, 5, 2, 6, 8, 0] Preorder: [1, 7, 4, 9, 3, 2, 5, 8, 6, 0]

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Chapter1: Introduction

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Question

**Binary Tree Construction from Traversals**

**Problem Statement:**
You are given the preorder and inorder traversals of a binary tree of integers that contain no duplicates. Using this information, reconstruct the binary tree and draw it.

**Inorder Traversal:** [4, 9, 7, 3, 1, 5, 2, 6, 8, 0]

**Preorder Traversal:** [1, 7, 4, 9, 3, 2, 5, 8, 6, 0]

**Explanation:**

1. **Understanding Traversals:**
- **Inorder Traversal** lists the nodes as they appear from left to right.
- **Preorder Traversal** begins with the root and then lists nodes from left to right.

2. **Reconstruction Steps:**
- Use the first element of the preorder list as the root (1 in this case).
- Locate the root in the inorder list to divide it into left and right subtrees.

3. **Detailed Steps:**
- **Root Node:** The first element of the preorder traversal is 1.
- **Left Subtree:** Based on the inorder list, elements left of 1 are [4, 9, 7, 3].
- **Right Subtree:** Elements right of 1 in the inorder list are [5, 2, 6, 8, 0].

4. **Continuing Recursively:**
- For the left subtree, use the next element in preorder (7) to find its position in the inorder list [4, 9, 7, 3] and repeat.
- For the right subtree, continue using the preorder sequence starting immediately after elements allocated to the left subtree.

5. **Drawing the Tree:**
- Use the above logic to iteratively divide and assign elements to build the tree from root, then left to right.

**Result:**
A binary tree constructed using the provided preorder and inorder traversals, achieving a balanced structure as defined by the traversal orders.

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