HashMap Implementation from Scratch in DSA C - 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 compute an index where the value is 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 to quickly find where the value is stored without searching the whole structure.

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 index in the array holds a linked list of key-value pairs that share the same index.

beginner

What is the average time complexity for searching a value in a well-implemented HashMap?

The average time complexity is O(1), meaning it takes constant time to find a value using its key.

What does a hash function do in a HashMap?

A Converts a key into an index

B Sorts the keys alphabetically

C Stores values in a linked list

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 the HashMap is empty

B When two keys have the same value

C When a key is not found

D When two keys produce the same index

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

Which method can handle collisions in a HashMap?

A Chaining with linked lists

B Binary search

C Sorting keys

D Using arrays only

Chaining uses linked lists at each index to store multiple key-value pairs that collide.

What is the average time complexity to find a value in a HashMap?

A O(n)

B O(log n)

C O(1)

D O(n log n)

A well-implemented HashMap allows constant time O(1) lookup on average.

In a HashMap, what data structure is commonly used to store multiple values at the same index due to collisions?

A Array

B Linked list

C Stack

D Queue

Linked lists are commonly used to store multiple key-value pairs at the same index in chaining.

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 efficiency when finding values.

Practice

1. What is the main purpose of a hash function in a HashMap implementation?

easy

A. To sort the keys in ascending order

B. To store values in a linked list

C. To convert a key into an index for storing the value

D. To delete keys from the HashMap

Solution

1. Step 1: Understand the role of a hash function

   A hash function takes a key and converts it into a number (index) that tells where to store the value in the HashMap's internal array.

2. Step 2: Compare other options

   Sorting keys or deleting keys are not the job of the hash function. Storing values in a linked list is a collision handling method, not hashing.

3. Final Answer:

   To convert a key into an index for storing the value -> Option C

4. Quick Check:

   Hash function = key to index [OK]

Hint: Hash function maps keys to array indexes fast [OK]

Common Mistakes:

• Thinking hash function sorts keys
• Confusing hash function with collision handling
• Believing hash function deletes keys

2. Which of the following is the correct way to declare a simple HashMap structure in C that stores integer keys and values?

easy

A. typedef struct { int key; int value; } HashNode;

B. typedef struct { char* key; int value; } HashMap;

C. typedef struct { int key; int value; } HashMap;

D. typedef struct { int key; int value; HashNode* next; } HashMap;

Solution

1. Step 1: Identify the basic node structure

   A HashMap stores key-value pairs. A node with int key and int value is a basic unit, so HashNode struct is correct.

2. Step 2: Check other options

   typedef struct { char* key; int value; } HashMap; uses char* key which is not integer keys. typedef struct { int key; int value; } HashMap; names the struct HashMap but it's actually a node. typedef struct { int key; int value; HashNode* next; } HashMap; adds a pointer for chaining but names it HashMap, which is confusing.

3. Final Answer:

   typedef struct { int key; int value; } HashNode; -> Option A

4. Quick Check:

   Node struct with int key and value = typedef struct { int key; int value; } HashNode; [OK]

Hint: Node struct holds key and value pairs [OK]

Common Mistakes:

• Confusing node and map struct names
• Using wrong key types
• Missing pointer for chaining in basic struct

3. Given the following code snippet for inserting keys into a HashMap with size 5, what will be the index for key 12?

int hash(int key) {
    return key % 5;
}

int index = hash(12);
printf("%d", index);

medium

A. 4

B. 2

C. 3

D. 1

Solution

1. Step 1: Apply the hash function to key 12

   The hash function returns key % 5. For key 12, 12 % 5 = 2.

2. Step 2: Confirm the printed index

   The code prints the index, which is 2.

3. Final Answer:

   2 -> Option B

4. Quick Check:

   12 % 5 = 2 [OK]

Hint: Modulo operator gives index in hash function [OK]

Common Mistakes:

• Calculating 12 % 5 incorrectly
• Confusing modulo with division
• Ignoring hash function logic

4. Consider this buggy code snippet for inserting a key-value pair into a HashMap with chaining:

void insert(HashNode** table, int size, int key, int value) {
    int index = key % size;
    HashNode* newNode = malloc(sizeof(HashNode));
    newNode->key = key;
    newNode->value = value;
    newNode->next = NULL;

    if (table[index] == NULL) {
        table[index] = newNode;
    } else {
        table[index]->next = newNode;
    }
}

What is the main problem in this code?

medium

A. It overwrites the existing chain instead of appending correctly

B. It does not handle memory allocation failure

C. It uses wrong hash function

D. It does not set the key and value fields

Solution

1. Step 1: Analyze insertion logic for chaining

   If the bucket is empty, it sets the new node. Otherwise, it sets table[index]->next = newNode, which overwrites the existing next pointer, losing the chain.

2. Step 2: Identify correct chaining method

   To append, it should traverse to the last node in the chain and then add the new node, not overwrite the first node's next pointer.

3. Final Answer:

   It overwrites the existing chain instead of appending correctly -> Option A

4. Quick Check:

   Chaining requires appending, not overwriting [OK]

Hint: Traverse chain to append new node, don't overwrite next [OK]

Common Mistakes:

• Ignoring chain traversal
• Assuming single node per bucket
• Not checking for NULL before insertion

5. You want to implement a HashMap from scratch in C that supports integer keys and values, handles collisions using chaining, and dynamically resizes when load factor exceeds 0.7. Which of the following steps is NOT necessary for this implementation?

hard

A. Resize the internal array and rehash all keys when load factor is high

B. Create linked lists at each bucket to handle collisions

C. Implement a hash function to convert keys to indexes

D. Sort the keys in each bucket to speed up search

Solution

1. Step 1: Understand necessary components of HashMap

   A hash function, chaining with linked lists, and resizing with rehashing are all essential for correct and efficient HashMap behavior.

2. Step 2: Evaluate sorting keys in buckets

   Sorting keys in buckets is not required because chaining uses linked lists and search is done by traversing nodes. Sorting adds unnecessary overhead.

3. Final Answer:

   Sort the keys in each bucket to speed up search -> Option D

4. Quick Check:

   Sorting buckets is unnecessary in chaining [OK]

Hint: Chaining uses linked lists; sorting buckets is extra work [OK]

Common Mistakes:

• Thinking sorting improves chaining search
• Ignoring rehashing on resize
• Skipping collision handling