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Segment Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Segment Tree Setup

Segment Tree Operations

Array Visualization

Segment Tree Visualization

Operation Steps

How to Use

  1. Build Tree: Enter comma-separated numbers and click "Build Tree"
  2. Sample Array: Click Sample Array to generate example tree.
  3. Range Sum: Enter left and right indices for range sum query
  4. Update: Change value at specific index

Segment Tree Concept

Segment Tree is a binary tree data structure for efficient range queries and updates on arrays.

Key Characteristics:

  • Each node represents a range of array elements
  • Leaf nodes represent individual array elements
  • Internal nodes store aggregate information
  • Supports range queries in O(log n) time

Applications: Range sum queries, range minimum/maximum queries, and computational geometry.

Purpose & Applications

  • Range sum queries
  • Range min/max queries
  • Lazy propagation
  • Computational geometry
  • Database indexing
  • Statistical analysis

Time & Space Complexity

Operation Time Complexity Space Complexity
Build O(n) O(n)
Range Query O(log n) O(1)
Update O(log n) O(1)
Space - O(n)

n = number of array elements

Strengths & Limitations

Strengths:

  • Fast range queries
  • Efficient updates
  • Versatile for different operations
  • Good cache performance

Limitations:

  • Memory overhead
  • Complex implementation
  • Static array size

Segment Tree Code Implementation

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