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 quickly find where the value is stored without searching the whole data 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 special methods to handle collisions so data is not lost.

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 this list.

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 to 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 two keys have the same value

B When the HashMap is empty

C When two keys map to the same index

D When a key is missing

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

Which method can handle collisions by storing multiple pairs at one 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 to find a value in a HashMap?

A O(n)

B O(1)

C O(log n)

D O(n^2)

HashMaps provide average constant time O(1) for searching values by key.

What data structure is commonly used inside a HashMap bucket to handle collisions?

A Linked List

B Array

C Stack

D Queue

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

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

Think about how keys become indexes and what happens if two keys share the same index.

Describe the steps to implement a simple HashMap from scratch.

Focus on array, hash function, collision handling, and basic operations.

Practice

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

easy

A. To store data sequentially like a list

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

C. To store data in a sorted order

D. To perform mathematical calculations

Solution

1. Step 1: Understand the role of HashMap

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

2. Step 2: Compare with other data structures

   Unlike lists or arrays, HashMaps do not store data sequentially or sorted but focus on fast lookup.

3. Final Answer:

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

4. Quick Check:

   HashMap = key-value fast access [OK]

Hint: HashMap = fast key to value lookup [OK]

Common Mistakes:

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

2. Which of the following is the correct way to declare a simple HashMap in C# using generics?

easy

A. Hashtable map = new Hashtable();

B. HashMap map = new HashMap();

C. Map map = new Map();

D. Dictionary map = new Dictionary();

Solution

1. Step 1: Recall C# standard HashMap equivalent

   In C#, Dictionary<K,V> is the built-in generic collection similar to HashMap.

2. Step 2: Check syntax correctness

   Dictionary map = new Dictionary(); correctly declares a Dictionary with int keys and string values.

3. Final Answer:

   Dictionary map = new Dictionary(); -> Option D

4. Quick Check:

   C# HashMap = Dictionary [OK]

Hint: Use Dictionary for HashMap in C# [OK]

Common Mistakes:

• Using non-existent HashMap class in C#
• Confusing Hashtable with generic Dictionary
• Wrong generic syntax

3. Consider this simple HashMap implementation snippet in C#:

class SimpleHashMap {
  private int[] keys = new int[5];
  private string[] values = new string[5];

  public void Put(int key, string value) {
    int index = key % 5;
    keys[index] = key;
    values[index] = value;
  }

  public string Get(int key) {
    int index = key % 5;
    if (keys[index] == key) return values[index];
    return null;
  }
}

SimpleHashMap map = new SimpleHashMap();
map.Put(1, "One");
map.Put(6, "Six");
string result = map.Get(1);

What is the value of result after this code runs?

medium

A. null

B. "One"

C. "Six"

D. Runtime error

Solution

1. Step 1: Calculate index for key 1

   Index = 1 % 5 = 1. So keys[1] = 1, values[1] = "One".

2. Step 2: Calculate index for key 6

   Index = 6 % 5 = 1. This overwrites keys[1] = 6, values[1] = "Six".

3. Step 3: Get value for key 1

   Index = 1 % 5 = 1. keys[1] is now 6, not 1, so Get returns null.

4. Final Answer:

   null -> Option A

5. Quick Check:

   Collision overwrites key 1, so Get(1) = null [OK]

Hint: Check key collision and overwrite in simple hash arrays [OK]

Common Mistakes:

• Ignoring key collision overwrite
• Assuming values are stored separately
• Expecting 'One' despite collision

4. Identify the bug in this simple HashMap Put method and choose the correct fix:

public void Put(int key, string value) {
  int index = key % 5;
  if (keys[index] != key) {
    keys[index] = key;
    values[index] = value;
  }
}

medium

A. Change modulus to key % 10 for bigger array

B. Remove the if check to always overwrite key and value

C. Add linear probing to handle collisions

D. Use keys[index] == key instead of != in if condition

Solution

1. Step 1: Understand current behavior

   The if (keys[index] != key) inserts only if the existing key differs: overwrites on collisions (data loss for previous keys) and skips updates for matching keys.

2. Step 2: Identify collision handling

   Without collision handling like linear probing, new keys that hash to occupied slots overwrite existing data.

3. Step 3: Fix by adding linear probing

   Linear probing searches next slots to find an empty or matching key slot, preventing overwrites.

4. Final Answer:

   Add linear probing to handle collisions -> Option C

5. Quick Check:

   Collision fix = linear probing [OK]

Hint: Handle collisions with probing, not just overwrite [OK]

Common Mistakes:

• Removing if causes overwrites
• Changing modulus without resizing array
• Wrong if condition logic

5. You want to implement a HashMap from scratch in C# that supports storing string keys and integer values. Which approach correctly handles collisions and allows retrieval of values?

class MyHashMap {
  private List>[] buckets;
  private int size = 10;

  public MyHashMap() {
    buckets = new List>[size];
    for (int i = 0; i < size; i++) buckets[i] = new List>();
  }

  private int GetBucketIndex(string key) {
    return Math.Abs(key.GetHashCode()) % size;
  }

  public void Put(string key, int value) {
    int index = GetBucketIndex(key);
    var bucket = buckets[index];
    for (int i = 0; i < bucket.Count; i++) {
      if (bucket[i].Key == key) {
        bucket[i] = new KeyValuePair(key, value);
        return;
      }
    }
    bucket.Add(new KeyValuePair(key, value));
  }

  public int? Get(string key) {
    int index = GetBucketIndex(key);
    var bucket = buckets[index];
    foreach (var kvp in bucket) {
      if (kvp.Key == key) return kvp.Value;
    }
    return null;
  }
}

MyHashMap map = new MyHashMap();
map.Put("apple", 5);
map.Put("banana", 3);
map.Put("apple", 10);
int? val = map.Get("apple");

What is the value of val after this code runs?

hard

A. 10

B. 5

C. 3

D. null

Solution

1. Step 1: Understand Put method behavior

   When inserting "apple" the second time, the code finds the existing key and updates its value to 10.

2. Step 2: Understand Get method behavior

   Get("apple") searches the bucket and returns the updated value 10.

3. Final Answer:

   10 -> Option A

4. Quick Check:

   Updated value for "apple" = 10 [OK]

Hint: Update existing key value, else add new pair [OK]

Common Mistakes:

• Returning old value instead of updated
• Ignoring collision handling with buckets
• Returning null if key exists