What are the complexities of different data structures?

What are the time complexities of common data structures like arrays, linked lists, and trees?

Arrays have O(1) for access, O(n) for insertion/deletion. Linked lists have O(n) for access, O(1) for insertion/deletion. Trees vary, but binary search trees have O(log n) for access, insertion, and deletion.

How does the complexity differ between a binary tree and a binary search tree?

A binary tree has O(n) for access, while a binary search tree can achieve O(log n) for access if balanced. The search tree's structure allows for faster searches.

What about hash tables? How do they compare?

Hash tables offer average O(1) time complexity for search, insert, and delete operations, but can degrade to O(n) in the worst case due to collisions.

Can you explain the space complexity of these data structures?

Arrays have O(n) space complexity, linked lists also O(n), binary trees O(n), and hash tables O(n) plus the overhead for the hash function.