Explain the concept of a hash collision and techniques to handle it.

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Explain the concept of a hash collision and techniques to handle it.

A hash collision occurs when two different keys generate the same hash value in a hash table or hash function. This can lead to data loss or incorrect retrieval of data, as the hash function is unable to uniquely identify the keys. To handle hash collisions, several techniques can be employed:

1. Separate Chaining: In this technique, each bucket in the hash table is implemented as a linked list. When a collision occurs, the colliding elements are stored in the same bucket as a linked list. This allows multiple elements to be stored at the same index, and retrieval can be done by traversing the linked list.

2. Open Addressing: In this technique, when a collision occurs, the hash function is used to find an alternative empty slot in the hash table. There are different methods of open addressing, such as linear probing, quadratic probing, and double hashing. Linear probing checks the next slot in a linear manner, quadratic probing checks slots in a quadratic manner, and double hashing uses a secondary hash function to find the next available slot.

3. Robin Hood Hashing: This technique aims to minimize the variance in the lengths of the linked lists in separate chaining. When a collision occurs, the element is inserted at the end of the linked list. However, if the displacement of the new element is greater than the displacement of the element already present, the elements are swapped. This helps in maintaining a more balanced distribution of elements in the linked lists.

4. Cuckoo Hashing: Cuckoo hashing uses multiple hash functions and multiple hash tables. Each key is hashed using different hash functions and checked in the corresponding hash tables. If a collision occurs, the existing element is evicted and moved to its alternative position in the other hash table. This process continues until a vacant position is found or a maximum number of evictions is reached.

5. Perfect Hashing: Perfect hashing is a technique that guarantees no collisions for a given set of keys. It involves two levels of hashing. The first level uses a hash function to map keys to different buckets, and each bucket contains a secondary hash table. The secondary hash table is designed to have a size equal to the number of keys in the bucket, ensuring no collisions within the bucket.

These techniques help in handling hash collisions and ensure efficient storage and retrieval of data in hash tables or hash functions. The choice of technique depends on factors such as the expected number of collisions, the size of the hash table, and the distribution of the keys.