Binary Trees — Insert, Search, AVL Balance
Mô tả
Demonstrates binary search tree operations step by step: inserting nodes to build a BST, searching for a value with left/right comparisons shown, detecting an unbalanced tree, and performing an AVL left rotation to restore balance. Height and balance factor labels update throughout.
Binary Trees — Insert, Search, AVL Balance
Description
Demonstrates binary search tree operations step by step: inserting nodes to build a BST, searching for a value with left/right comparisons shown, detecting an unbalanced tree, and performing an AVL left rotation to restore balance. Height and balance factor labels update throughout.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | Intro | 3s | Title displayed |
| 2 | BST Insert | 18s | Insert nodes 5,3,7,1,4,6,8 one by one; show comparison path for each |
| 3 | BST Search | 8s | Search for value 4; highlight comparison at each node, path shown in cyan |
| 4 | Imbalance Detection | 5s | Show an unbalanced tree (right-heavy), highlight balance factors in red |
| 5 | AVL Rotation | 10s | Animate left rotation to rebalance; show height labels updating |
| 6 | Outro | 4s | Balanced tree displayed with all balance factors = 0 or ±1 |
Layout
+--------------------------------------------------+
| Title: Binary Trees |
+--------------------------------------------------+
| |
| [5] <- root |
| / \ |
| [3] [7] |
| / \ / \ |
| [1][4][6][8] |
| |
| Height labels: h=0 (leaves), h=1, h=2 |
| Balance factors shown in small text |
| |
| AVL rotation diagram (right side during phase 5)|
+--------------------------------------------------+
Area Descriptions
- Center: Binary tree visualization with nodes as circles
- Labels on nodes: Value inside circle, balance factor below
- Right sidebar: Step-by-step operation description
Assets & Dependencies
- Fonts: LaTeX / sans-serif
- Manim version: ManimCE 0.19.1
Notes
- Nodes fade in along the insertion path
- Search path highlighted in cyan with step-by-step comparison annotations
- Rotation shown with arc animation indicating node pivot
- Balance factors updated after each structural change
Đối tượng: Software EngineerThể loại: Cs