Math Problem Statement
Add the following elements into a Binary Search Tree and upload an image of the tree you've created. Do not balance the tree.
67, 25, 36, 90, 18, -2, 50, 9
Give the in-order, pre-order, and post-order traversals of the tree you created
Solution
Here is the binary search tree (BST) created using the elements: 67, 25, 36, 90, 18, -2, 50, and 9.
The traversal results are:
- In-order traversal: [-2, 9, 18, 25, 36, 50, 67, 90]
- Pre-order traversal: [67, 25, 18, -2, 9, 36, 50, 90]
- Post-order traversal: [9, -2, 18, 50, 36, 25, 90, 67]
Would you like further details or have any questions?
Here are 5 related questions for further exploration:
- How does in-order traversal work in a binary search tree?
- What are the applications of pre-order traversal in tree structures?
- Why is the post-order traversal useful for deleting a binary tree?
- How does the structure of a BST depend on the order of insertion of elements?
- What are the advantages of using a self-balancing binary search tree?
Tip: In a binary search tree, the in-order traversal always results in a sorted sequence of elements.
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Math Problem Analysis
Mathematical Concepts
Data Structures
Binary Search Tree
Tree Traversals
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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