Hash Map

Understanding Hash Maps and their role in efficient data storage and retrieval.

What is a Hash Map?

A hash map is a data structure that lets you store data in key-value pairs. It’s like a dictionary or a phone book, where you can look up a value (like a phone number) using a key (like a person’s name).

What makes hash maps incredibly fast for lookups is their use of a hashing function. This function takes your key and calculates an index to place the value in an underlying array. This is why accessing an element in a hash map has an average time complexity of O(1).

Here’s a visual way to think about it:

When you store a value:

  1. The key is passed to the hashing function, which generates a hash (a number).
  2. This hash determines where in the array the value will be stored.

When you retrieve a value:

  1. You provide the key.
  2. The hashing function calculates the same hash.
  3. The value is retrieved from the corresponding location in the array.

Real-Life Analogy

Think of a hash map as a locker system:

  • You have a key (the locker number).
  • You use this key to directly open the locker (where the value is stored).
  • You don’t need to check all the lockers—just go straight to the one matching the key.

Common Operations

  1. Insert: Add a key-value pair to the hash map. O(1)
  2. Search: Retrieve a value using its key. O(1)
  3. Delete: Remove a key-value pair. O(1)

Code Examples

Here’s how you can implement and use hash maps in C++, Python, and Java. I’ve included comments to explain what each part of the code does.

# Create a hash map
phone_book = {}

# Insert key-value pairs
phone_book["Alice"] = 12345
phone_book["Bob"] = 67890

# Search for a value using a key
print("Alice's number:", phone_book["Alice"])

# Check if a key exists
if "Charlie" not in phone_book:
    print("Charlie is not in the phone book.")

# Remove a key-value pair
del phone_book["Alice"]

Problems to Solve

Important Problems on Hash Tables

Resources