Please describe the concept of binary tree sort in data structure.
Then, please use the following data {23,68,1,38,10,45,25,89} to build a binary search tree and its sorting result.

Question

Please describe the concept of binary tree sort in data structure. 
﻿Then, please use the following data {23,68,1,38,10,45,25,89} ﻿to build a binary search tree and its sorting result.

Accepted Answer

⚹ Binary tree sort is a sorting algorithm that builds a binary search tree from the elements to be sorted, and then performs an in-order traversal to generate a sorted list ⚹ ⚹ To build a binary search tree (BST) from the given data {23,68,1,38,10,45,25,89}, we start by inserting the elements one by one into the BST ⚹ ⚹ The binary search tree constructed from the given data set will have the following structure: 1. Insert 23 as the root node 2. Insert 68 to the right of 23 3. Insert 1 to the left of 23 4. Insert 38 to the left of 68 5. Insert 10 to the right of 1 6. Insert 45 to the right of 38 7. Insert 25 to the left of 38 8. Insert 89 to the right of 68 ⚹ ⚹ The in-order traversal of the constructed binary search tree will give us the sorted result: {1, 10, 23, 25, 38, 45, 68, 89} ⚹ ⚹ Here is the binary search tree for the given data set: ``` ⚹ 23 / \ 1 68 \ / \ 10 38 89 / \ 25 45 ``` ⚹ The sorted result of the in-order traversal of this binary search tree is: {1, 10, 23, 25, 38, 45, 68, 89}⚹

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