How is the efficiency of inserting an element into a hash table determined, and what factors influence it?

The efficiency of inserting into a hash table is usually measured by the execution time — aiming for amortized O(1) time.

The following factors influence efficiency:

• Hash function: should distribute keys evenly across buckets to avoid collisions.
• Collisions: during collisions, insertion may require traversing a chain or probing, which increases time.
• Table load factor: the ratio of the number of elements to the table size. High load increases the likelihood of collisions.
• Collision resolution method: chaining or open addressing (probing) affects insertion speed.
• Table resizing implementation: when the load threshold is reached, the table is expanded, which temporarily slows down insertion.