Multimap Data Structure Visualizer

Multimap Visualization

Operation Steps

How to Use

Initialize Multimap: Click to create a new empty multimap
Sample Multimap: Click to populate with example data
Add Value: Enter key and value, click to add (allows duplicates)
Remove Value: Enter key and value, click to remove one instance
Remove All: Enter key, click to remove all values for that key
Search Key: Enter key to find all associated values

Multimap Concept

Multimap is a data structure that stores key-value pairs where each key can map to multiple values, unlike regular maps which enforce one value per key.

Key Characteristics:

One key can have multiple values
Duplicate values allowed for the same key
Uses hash function for key distribution
Efficient insertion and retrieval
Useful for grouping related elements

Applications: Inverted indexing, grouping data by category, multi-valued attributes, and database queries.

Purpose & Applications

Storing relationships (many-to-many)
Grouping elements by properties
Inverted index in search engines
Graph adjacency lists
Database foreign key mapping
Tag systems and categorization

Strengths & Limitations

Strengths:

Fast lookups for all values by key
Natural representation of one-to-many relationships
Flexible grouping mechanism
Efficient range queries by key

Limitations:

Higher memory usage than regular maps
No ordering guarantee
Finding specific key-value pair slower
Duplicate removal requires care

Time & Space Complexity

Operation	Average Time	Worst Time	Space
Add Value	O(1)	O(n)	O(1)
Remove Value	O(m)	O(n)	O(1)
Search Key	O(1)	O(n)	O(1)
Remove All	O(m)	O(n)	O(1)
Space	-	-	O(n+m)

n = number of keys, m = total number of values