Hash table with linear probing collision resolution
8
Table Size
0
Entries
0.0%
Load Factor
0
Collisions
Ready for HashMap operations
Hash Function
hash(key) = (Σ key[i] × (i+1)) % 8
Simple hash function for demonstration purposes
Hash Table Structure
Index 0
Empty
Index 1
Empty
Index 2
Empty
Index 3
Empty
Index 4
Empty
Index 5
Empty
Index 6
Empty
Index 7
Empty
Empty Slot
Ideal Position
Collision (Displaced)
Currently Active
HashMap Operations:
Basic Operations:
Put(key, value): Insert or update key-value pair
Get(key): Retrieve value for given key
Remove(key): Delete key-value pair
containsKey(key): Check if key exists
Collision Resolution:
Linear Probing: Check next slot sequentially
Load Factor: Ratio of entries to table size
Characteristics:
Average Time: O(1) for all operations
Worst Case: O(n) when many collisions occur
Space Complexity: O(n) where n is number of entries
Load Factor: Keep below 0.75 for good performance
Use Cases: Caches, databases, symbol tables, associative arrays
Key Insight: Hash functions distribute keys across table slots. Good hash functions minimize collisions, but collision resolution strategies like linear probing handle conflicts when they occur.