What is the difference between a hash table and an array?

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What is the difference between a hash table and an array?

A hash table and an array are both data structures used to store and retrieve data, but they have some fundamental differences.

1. Structure:
- Array: An array is a linear data structure that stores elements in contiguous memory locations. Each element in an array is accessed using its index, which represents its position in the array.
- Hash table: A hash table is a data structure that uses a hash function to map keys to an array index. It consists of an array of buckets or slots, where each slot can store a key-value pair. The hash function determines the index where the key-value pair will be stored.

2. Access Time:
- Array: In an array, accessing an element is done in constant time O(1) since the index of the element is known.
- Hash table: In a hash table, accessing an element also takes constant time O(1) on average. However, in the worst case scenario, when there are many collisions (multiple keys mapping to the same index), the access time can degrade to O(n), where n is the number of elements in the hash table.

3. Key-Value Storage:
- Array: Arrays store elements in a sequential manner, typically using integer indices. They are suitable for storing a collection of elements where the order is important.
- Hash table: Hash tables store key-value pairs, where the key is used to compute the hash value and determine the index. They are suitable for storing and retrieving data based on a unique key, providing efficient lookup operations.

4. Memory Usage:
- Array: Arrays require contiguous memory allocation, meaning they occupy a fixed amount of memory regardless of the number of elements stored. This can lead to memory wastage if the array size is larger than the number of elements.
- Hash table: Hash tables dynamically resize themselves based on the number of elements stored. They can efficiently utilize memory by allocating more space when needed and releasing it when elements are removed.

5. Collisions:
- Array: Arrays do not have collisions since each element is stored at a specific index.
- Hash table: Hash tables can have collisions when multiple keys map to the same index. Collisions are resolved using techniques like chaining (storing multiple elements in the same slot using linked lists) or open addressing (finding the next available slot).

In summary, the main differences between a hash table and an array lie in their structure, access time, key-value storage, memory usage, and handling of collisions. Arrays are simple and efficient for ordered collections, while hash tables provide efficient key-value storage with dynamic memory allocation but may have performance degradation in case of collisions.