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Heap Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Heap Setup

Heap Operations

Heap Visualization

Operation Steps

How to Use

  1. Choose Heap Type: Select Max Heap or Min Heap
  2. Insert Values: Enter a number and click "Insert"
  3. Random Heap: Click Random Heap to instantly generate a sample heap with random values.
  4. Extract Root: Remove and return the root element
  5. Peek Root: View the root element without removing it
  6. Reset: Clear the heap

Heap Concept

Heap is a complete binary tree that satisfies the heap property. It's commonly used to implement priority queues.

Key Characteristics:

  • Complete binary tree structure
  • Heap property: parent-child relationship
  • Efficient insertion and extraction
  • Array-based implementation

Max Heap: Parent nodes are greater than or equal to their children. The largest element is at the root.

Min Heap: Parent nodes are less than or equal to their children. The smallest element is at the root.

Purpose & Applications

  • Priority queues
  • Heap sort algorithm
  • Graph algorithms (Dijkstra's, Prim's)
  • Task scheduling
  • Memory management

Time & Space Complexity

Operation Time Complexity Space Complexity
Insert O(log n) O(1)
Extract Root O(log n) O(1)
Peek Root O(1) O(1)
Build Heap O(n) O(1)

Strengths & Limitations

Strengths:

  • Efficient priority queue operations
  • Space-efficient array representation
  • Guaranteed logarithmic time complexity
  • Cache-friendly due to array structure

Limitations:

  • No efficient search for arbitrary elements
  • Not suitable for sorted traversal
  • Limited flexibility compared to other trees

Heap Code Implementation

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