Final answer:
One problem in Open addressing that does not exist in chaining is clustering, where multiple elements hash to the same index in the hash table. Open addressing is more sensitive to the load factor than chaining. Open addressing also requires a larger hash table size compared to chaining.
Step-by-step explanation:
One problem that exists in Open addressing that does not exist in chaining is clustering. Clustering occurs when multiple elements hash to the same index in the hash table, causing them to be stored adjacent to each other. This results in longer search times as the linear probing process must traverse through these clusters to find an available slot.
Another issue with Open addressing is that it is more sensitive to the load factor. When the load factor exceeds a certain threshold, the number of collisions increases significantly. In comparison, chaining is more tolerant of high load factors as it uses a linked list to store multiple elements at the same index.
Finally, Open addressing requires the hash table to be larger than the number of elements to accommodate for potential collisions. This is because every element must occupy a unique slot in the hash table. In contrast, chaining allows for a smaller hash table size, as multiple elements can be stored at the same index using a linked list.