Hash Table Data Structure Visualizer

How to Use

Initialize: Set table size (e.g., 7) and click "Initialize"
Sample Data: Click Sample Data to populate with examples.
Insert: Enter key-value pair (e.g., Key: "name", Value: "John") and click "Insert"
Search: Enter key (e.g., "name") to search for its value
Delete: Enter key (e.g., "name") to remove from table

Hash Table Concept

Hash Table is a data structure that maps keys to values using a hash function for fast access.

Key Characteristics:

Uses hash function to compute array index
Handles collisions with chaining or open addressing
Provides average O(1) time complexity for operations
Dynamic resizing maintains performance

Hash Function: A hash function is a mathematical function that converts input keys into array indices. It takes a key of any size and produces a fixed-size integer that determines where the key-value pair will be stored. A good hash function should distribute keys uniformly across the table to minimize collisions and maintain fast access times.

Hash Calculation Example: For string "Age" with table size 7:
Step 1: Sum ASCII values: A(65) + g(103) + e(101) = 269
Step 2: Apply modulo: 269 % 7 = 3
Therefore, hash("Age") = 3, so "Age" is stored in bucket 3.

Applications

Database indexing and caching
Symbol tables in compilers
Associative arrays and dictionaries
Set implementations
Memoization in dynamic programming

Time Complexity

Operation	Average	Worst
Insert	O(1)	O(n)
Search	O(1)	O(n)
Delete	O(1)	O(n)

Space Complexity

Component	Space
Table Storage	O(n)
Chain Storage	O(k)

Strengths

Fast average-case performance
Simple implementation
Flexible key types
Memory efficient

Limitations

Poor worst-case performance
Hash function quality dependent
No ordering of elements
Collision handling overhead

Hash Table Data Structure Visualizer

Hash Table Setup

Hash Table Operations

Hash Function

Statistics

Hash Table Visualization

Operation Steps