Open Addressing vs Separate Chaining in Hash Tables

πŸ’‘ Concept Name

Collision Resolution β€” Strategies to handle hash collisions in hash tables, mainly through open addressing and separate chaining.

πŸ“˜ Quick Intro

When two keys map to the same index in a hash tableβ€”a collisionβ€”resolving it efficiently is vital. Open addressing searches for the next free slot, while separate chaining maintains a list of entries per index.

🧠 Analogy / Short Story

Picture a parking lot:

  • Open Addressing: If your assigned spot is taken, you drive forward to find the next empty space.
  • Separate Chaining: If your spot is full, you park behind the existing car, forming a line (like a linked list).

πŸ”§ Technical Explanation

  • πŸ” Open Addressing: All entries reside within the hash table array itself; collisions cause probing for alternate slots.
  • πŸͺ’ Separate Chaining: Each bucket in the array holds a linked list or another collection of items hashing to that slot.
  • ⚑ Performance: Open addressing shines with low load factors; separate chaining excels when the table is densely filled.
  • 🧠 Memory Use: Open addressing uses less memory but may suffer clustering; chaining uses extra memory for pointers.
  • πŸ”„ Load Factor Sensitivity: Open addressing performance deteriorates faster as load factor grows compared to chaining.

🎯 Purpose & Use Case

  • βœ… Choose open addressing to save memory and maintain speed when collisions are rare.
  • βœ… Choose separate chaining when expecting lots of collisions or variable data sizes.

πŸ’» Real Code Example

// Separate chaining example using Dictionary>
var hashTable = new Dictionary<int, List<string>>();
int hash = "John".GetHashCode() % 10;
if (!hashTable.ContainsKey(hash))
    hashTable[hash] = new List<string>();
hashTable[hash].Add("John");

❓ Interview Q&A

Q1: What is a hash collision?
A: When two different keys produce the same hash value in a hash table.

Q2: Why do hash collisions occur?
A: Because the hash function maps a large key space into a smaller fixed-size array.

Q3: What are common techniques to resolve collisions?
A: Separate chaining and open addressing.

Q4: How does separate chaining work?
A: By storing collided elements in a linked list or bucket at the same array index.

Q5: What is open addressing?
A: Finding another empty slot within the hash table array via probing methods.

Q6: Name some probing techniques in open addressing.
A: Linear probing, quadratic probing, and double hashing.

Q7: What is the drawback of linear probing?
A: It can cause clustering, leading to performance degradation.

Q8: How does double hashing improve collision resolution?
A: By using a second hash function to calculate probe steps, reducing clustering.

Q9: What happens when the load factor of a hash table is high?
A: The chances of collisions increase, decreasing performance.

Q10: How can resizing help with collisions?
A: Increasing the table size reduces collisions and improves efficiency.

πŸ“ MCQs

Q1. What is a hash collision?

  • Two keys map to different hashes
  • Two keys map to same hash
  • Keys are equal
  • Hash table overflow

Q2. Why do collisions happen?

  • Keys are equal
  • Hash function compresses keys
  • Keys are hashed randomly
  • Hash table is empty

Q3. Which are common collision resolution methods?

  • Linear search
  • Separate chaining and open addressing
  • Sorting
  • Rehashing only

Q4. How does separate chaining resolve collisions?

  • Overwrite data
  • Linked list at array index
  • Skip insertion
  • Resize table

Q5. What is open addressing?

  • Use linked lists
  • Find empty slot via probing
  • Double hashing only
  • Ignore collisions

Q6. Which probing method causes clustering?

  • Quadratic probing
  • Double hashing
  • Linear probing
  • Random probing

Q7. How does double hashing reduce clustering?

  • Uses third hash
  • Uses second hash for step size
  • Uses fixed step
  • No clustering effect

Q8. What happens when load factor is high?

  • Less collisions
  • More collisions
  • No change
  • Table shrinks

Q9. How does resizing help collision resolution?

  • Increases collisions
  • Lowers load factor
  • Slows down
  • No effect

Q10. Which data structure is used in separate chaining?

  • Array
  • Linked list
  • Stack
  • Queue

erred under heavy collisions?", A="Separate Chaining", Options=new[]{ "Open Addressing", "Separate Chaining", "Linear Probing", "Modulo Hashing" } } })

πŸ’‘ Bonus Insight

Advanced hybrid techniques like Robin Hood hashing and cuckoo hashing merge the benefits of both approaches, pushing collision resolution to new efficiency levels.

πŸ“„ PDF Download

Need a handy summary for your notes? Download this topic as a PDF!

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