Hash Table

A Hash Table is a data structure that implements an associative array, mapping keys to values using a hash function. It provides average O(1) time complexity for insertion, deletion, and lookup operations.

Hash Table Visualization

Hash Table Visualizer — V3 Ultra Premium

Chaining collisions, cinematic motion, synced code, and guided demo.

Current Phase
Standby
Active Value
Bucket Target
Key
0
Empty bucket
Key
1
Empty bucket
Key
2
Empty bucket
Key
3
Empty bucket
Key
4
Empty bucket
Key
5
Empty bucket
Key
6
Empty bucket
Hash Function: value % 7
Collision strategy: Separate Chaining

Execution Code Sync

Highlighted lines track the current operation.

IDLE
1function hash(value) {
2 return value % tableSize;
3}
4
5insert(value) {
6 index = hash(value);
7 bucket = table[index];
8 if (bucket has collision) {
9 chain value into bucket;
10 } else {
11 place value in bucket;
12 }
13}
14
15search(value) {
16 index = hash(value);
17 scan bucket at index;
18 return found ? true : false;
19}

Live Telemetry

Real-time execution logs.

What This Shows

  • • A value is transformed into a bucket index using modulo.
  • • If two values map to the same index, a collision happens.
  • • This visualizer resolves collisions using separate chaining.
  • • The demo intentionally creates collisions to show bucket growth.

Complexity

Time Complexity: O(1) average, O(n) worst for insert/delete/search
Space Complexity: O(n)

Pseudocode

class HashTable:
  function hash(key):
    return hash_function(key) % table_size
  
  function insert(key, value):
    index = hash(key)
    table[index] = value
  
  function get(key):
    index = hash(key)
    return table[index]