Hashing Questions Long
The process of inserting an element into a hash table involves the following steps:
1. Hashing: The first step is to compute the hash value of the element to be inserted. This is typically done by applying a hash function to the key of the element. The hash function should distribute the elements uniformly across the hash table to minimize collisions.
2. Collision Handling: Collisions occur when two or more elements have the same hash value. There are various techniques to handle collisions, including separate chaining and open addressing.
- Separate Chaining: In separate chaining, each slot of the hash table contains a linked list. If a collision occurs, the element is inserted at the end of the linked list in the corresponding slot.
- Open Addressing: In open addressing, if a collision occurs, the element is inserted into the next available slot in the hash table. This can be done using different strategies such as linear probing, quadratic probing, or double hashing.
3. Finding an Empty Slot: After determining the appropriate collision handling technique, the next step is to find an empty slot in the hash table. In separate chaining, this step is not required as the element is simply appended to the linked list. However, in open addressing, the algorithm needs to search for the next available slot based on the chosen probing strategy.
4. Insertion: Once an empty slot is found, the element is inserted into that slot. The element can be stored directly in the slot or in a data structure associated with the slot, depending on the implementation.
5. Resizing: As the number of elements inserted into the hash table increases, the load factor (ratio of elements to slots) also increases. To maintain an efficient hash table, it may be necessary to resize the table periodically. This involves creating a new hash table with a larger size and rehashing all the elements from the old table into the new one.
Overall, the process of inserting an element into a hash table involves computing the hash value, handling collisions, finding an empty slot, inserting the element, and potentially resizing the table. The efficiency of the insertion process depends on the quality of the hash function, the collision handling technique, and the load factor of the hash table.