Calculator Input
Enter integers separated by commas or spaces. The tree inserts duplicates into the right branch.
Example Data Table
| Example Input | Preorder | Inorder | Postorder | Level Order |
|---|---|---|---|---|
| 50,30,70,20,40,60,80 | 50 → 30 → 20 → 40 → 70 → 60 → 80 | 20 → 30 → 40 → 50 → 60 → 70 → 80 | 20 → 40 → 30 → 60 → 80 → 70 → 50 | 50 → 30 → 70 → 20 → 40 → 60 → 80 |
| 45,25,65,15,35,55,75 | 45 → 25 → 15 → 35 → 65 → 55 → 75 | 15 → 25 → 35 → 45 → 55 → 65 → 75 | 15 → 35 → 25 → 55 → 75 → 65 → 45 | 45 → 25 → 65 → 15 → 35 → 55 → 75 |
Formula Used
BST insertion rule: for each node value x, move left if x < node. Move right if x ≥ node.
Preorder formula: Root → Left → Right.
Inorder formula: Left → Root → Right.
Postorder formula: Left → Right → Root.
Level order formula: visit nodes level by level using a queue.
Tree height: height(node) = max(height(left), height(right)) + 1.
Leaf rule: a leaf has no left child and no right child.
How to Use This Calculator
- Enter integer node values separated by commas or spaces.
- Choose the traversal you want emphasized in analysis.
- Press Calculate Traversals.
- Read the traversal sequences shown above the form.
- Review height, leaf count, and internal node count.
- Inspect the node structure table and traversal graph.
- Download the results as CSV or PDF.
FAQs
1. What does this calculator do?
It builds a binary search tree from your integers. Then it returns preorder, inorder, postorder, and level order traversals, plus structural statistics.
2. Why is inorder important in a BST?
Inorder traversal usually produces sorted values in ascending order. That makes it the fastest visual check for BST correctness.
3. How are duplicate numbers handled?
This page inserts duplicates into the right subtree. That keeps the insertion rule consistent and the structure predictable.
4. What is the difference between preorder and postorder?
Preorder visits the root before its children. Postorder visits both children first and the root last.
5. What does tree height mean here?
Height is the longest edge path from the root to a leaf. A single-node tree has height zero in this calculator.
6. When should I use level order traversal?
Use level order when you want breadth-first inspection. It helps show queue behavior and how nodes appear by depth.
7. Can I use negative integers?
Yes. The input accepts positive integers, zero, and negative integers, as long as each value is a valid whole number.
8. What do the CSV and PDF exports contain?
The exports include input values, traversal sequences, and core tree statistics. They are useful for classes, notes, and documentation.