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B Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

B Tree Setup

B Tree Operations

Tree Visualization

(B Tree maintains balance with order = 3)

Operation Steps

How to Use

  1. Set Order: Choose tree order (3-5) and click "Set Order"
  2. Insert: Enter a value and click "Insert"
  3. Delete: Enter a value and click "Delete"
  4. Search: Enter a value and click "Search"
  5. Get Height: Click to retrieve tree height
  6. Get Size: Click to count total nodes
  7. Random B Tree: Click to generate a random tree
  8. Reset: Click to clear the tree

B Tree Concept

B Tree is a self-balancing tree data structure that maintains sorted data and allows searches, insertions, and deletions in logarithmic time.

Key Properties:

  • All leaves are at the same level
  • Internal nodes store keys and data together
  • Node capacity m: max m-1 keys, m children
  • Minimum degree t: each node has at least t-1 keys
  • Except root, all nodes are at least half full

Applications

  • Database and file system indexing
  • Disk-based data structures
  • Efficient multi-level indexing
  • Reducing I/O operations
  • NTFS and ext4 file systems

Strengths & Limitations

Strengths:

  • Always balanced
  • Efficient for disk storage
  • Reduces number of disk accesses
  • Guaranteed O(log n) operations

Limitations:

  • Complex implementation
  • More space overhead
  • Slower for in-memory operations

Time & Space Complexity

Operation Time Space
Insert O(log n) O(n)
Delete O(log n) O(n)
Search O(log n) O(n)
Get Min O(log n) O(1)

B Tree Code Implementation

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