HashMap Implementation from Scratch in DSA Python - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a HashMap?

A HashMap is a data structure that stores key-value pairs. It uses a hash function to convert keys into an index where values are stored, allowing fast data retrieval.

beginner

Why do we use a hash function in a HashMap?

A hash function converts a key into an index in an array. This helps quickly find where the value for that key is stored, making lookups fast.

intermediate

What is a collision in a HashMap?

A collision happens when two different keys produce the same index from the hash function. We need a way to handle collisions to store both values correctly.

intermediate

Name one common method to handle collisions in a HashMap.

One common method is chaining, where each array index holds a list of key-value pairs. If multiple keys map to the same index, they are stored in that list.

intermediate

What is the average time complexity for get and put operations in a well-implemented HashMap?

The average time complexity is O(1), meaning it takes constant time to get or put a value, thanks to direct indexing using the hash function.

What does a hash function do in a HashMap?

A Sorts the keys alphabetically

B Stores the value directly

C Converts a key into an index

D Deletes duplicate keys

A hash function converts a key into an index to store or find the value quickly.

What is a collision in a HashMap?

A When two keys have the same value

B When two keys map to the same index

C When a key is missing

D When the HashMap is empty

A collision happens when two different keys produce the same index from the hash function.

Which method can handle collisions by storing multiple key-value pairs at the same index?

A Hashing

B Sorting

C Binary Search

D Chaining

Chaining stores multiple key-value pairs in a list at the same index to handle collisions.

What is the average time complexity for searching a key in a good HashMap?

A O(1)

B O(log n)

C O(n log n)

D O(n)

A well-implemented HashMap provides average O(1) time for searching keys.

In a HashMap, what happens if two keys produce the same index and chaining is not used?

A One value overwrites the other

B Both values are stored separately

C The HashMap resizes automatically

D The keys are merged

Without collision handling like chaining, one value overwrites the other at the same index.

Explain how a HashMap stores and retrieves data using a hash function and handles collisions.

Think about how keys become positions and what happens if two keys want the same spot.

Describe the advantages of using a HashMap compared to a simple list for storing key-value pairs.

Focus on speed and how data is found quickly.

Practice

1. What is the main purpose of a HashMap in data structures?

easy

A. To store key-value pairs for fast data retrieval

B. To store data in a sorted order

C. To perform mathematical calculations

D. To store data in a sequential list

Solution

1. Step 1: Understand what a HashMap stores

   A HashMap stores data as key-value pairs, allowing quick access to values using keys.

2. Step 2: Identify the main purpose

   The main purpose is to retrieve data quickly by keys, not to sort or calculate.

3. Final Answer:

   To store key-value pairs for fast data retrieval -> Option A

4. Quick Check:

   HashMap = fast key-value access [OK]

Hint: Remember: HashMap = key-value pairs for quick lookup [OK]

Common Mistakes:

• Confusing HashMap with sorted data structures
• Thinking HashMap stores data sequentially
• Assuming HashMap is for calculations

2. Which of the following is the correct way to define a simple HashMap class constructor in Python?

easy

A. def __init__(self): self.map = set()

B. def __init__(self): self.map = []

C. def __init__(self): self.map = {}

D. def __init__(self): self.map = ()

Solution

1. Step 1: Identify the data structure for storing key-value pairs

   A HashMap stores key-value pairs, so a dictionary {} is appropriate.

2. Step 2: Check each option's data type

   def __init__(self): self.map = {} uses {} which is a dictionary. Others use list, set, or tuple which are not suitable for key-value mapping.

3. Final Answer:

   def __init__(self): self.map = {} -> Option C

4. Quick Check:

   HashMap uses dictionary = {} [OK]

Hint: Use {} to store key-value pairs in Python [OK]

Common Mistakes:

• Using list or tuple instead of dictionary
• Confusing set with dictionary
• Not initializing the map attribute

3. What will be the output of the following code?

class HashMap:
    def __init__(self):
        self.map = {}
    def put(self, key, value):
        self.map[key] = value
    def get(self, key):
        return self.map.get(key, None)

h = HashMap()
h.put('a', 1)
h.put('b', 2)
print(h.get('a'))
print(h.get('c'))

medium

A. 1\nNone

B. 1\n0

C. None\nNone

D. Error

Solution

1. Step 1: Trace the put method calls

   Keys 'a' and 'b' are added with values 1 and 2 respectively.

2. Step 2: Trace the get method calls

   Getting 'a' returns 1. Getting 'c' returns None because 'c' is not in the map and default is None.

3. Final Answer:

   1\nNone -> Option A

4. Quick Check:

   Existing key returns value, missing key returns None [OK]

Hint: get() returns None if key not found by default [OK]

Common Mistakes:

• Expecting 0 instead of None for missing keys
• Confusing print output format
• Assuming error on missing key

4. Find the error in this HashMap implementation snippet:

class HashMap:
    def __init__(self):
        self.map = []
    def put(self, key, value):
        self.map[key] = value

medium

A. Missing return statement in put method

B. No error, code is correct

C. Incorrect method name put instead of add

D. Using list instead of dictionary for self.map

Solution

1. Step 1: Check the data structure used for self.map

   self.map is initialized as a list, but lists do not support key-based assignment.

2. Step 2: Understand why list causes error

   Using self.map[key] = value will cause TypeError because list indices must be integers, not keys.

3. Final Answer:

   Using list instead of dictionary for self.map -> Option D

4. Quick Check:

   List can't use keys as indices [OK]

Hint: Use dictionary {} for key-value storage, not list [] [OK]

Common Mistakes:

• Thinking put method needs return
• Confusing method names
• Ignoring data type of self.map

5. You want to implement a HashMap that handles collisions by chaining (using lists). Which of the following code snippets correctly initializes the internal storage for chaining?

hard

A. self.map = {}

B. self.map = [[] for _ in range(size)]

C. self.map = [None] * size

D. self.map = [0] * size

Solution

1. Step 1: Understand chaining collision handling

   Chaining uses a list of lists where each bucket holds a list of key-value pairs.

2. Step 2: Identify correct initialization

   self.map = [[] for _ in range(size)] creates a list of empty lists, one for each bucket, suitable for chaining.

3. Step 3: Why other options are incorrect

   self.map = [None] * size creates a list of None, which needs extra checks. self.map = {} is a dictionary, not a list of buckets. self.map = [0] * size creates a list of zeros, not suitable for chaining.

4. Final Answer:

   self.map = [[] for _ in range(size)] -> Option B

5. Quick Check:

   Chaining needs list of lists = [[] for _ in range(size)] [OK]

Hint: Use list comprehension to create buckets for chaining [OK]

Common Mistakes:

• Using None or 0 instead of empty lists for buckets
• Confusing dictionary with list of buckets
• Not initializing buckets properly for chaining