Kit Library / Computer Science / Data Structures

⚡ Topic Learning Kit

Hashing

English 32 leveled MCQs 17 flashcards 6 games Free

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💡 Key Idea

Hashing: Direct Access for Fast Lookups

Instant data retrieval, no searching!

Hashing is a technique that maps data of any size to a fixed-size value (called a hash code or hash value) using a hash function. This hash value is used as an index to store and retrieve data in an array-like structure called a hash table

↳ Hashing enables near-instant data access by mapping keys directly to storage locations.

📖 Definition

Hash Function: The Core of Hashing

The magic that turns keys into indices.

A hash function $h(k)$ takes a key $k$ and returns an integer index within the range of the hash table (e.g., $0$ to $m-1$). A good hash function should be fast to compute, minimize collisions, and distribute keys uniformly across the table. Common exa...

↳ A good hash function is fast, uniform, and minimizes collisions.

⭐ Important Fact

O(1) Average Time Complexity

Constant time – the holy grail.

In a well-designed hash table, the average time complexity for search, insert, and delete operations is O(1), independent of the number of elements. This is because the hash function directly computes the location, avoiding any sequential search. However, in the worst case

↳ Hashing offers constant-time operations on average, but worst-case can be linear.

📖 Smart notes

What you'll study, topic by topic

1

Hashing in Data Structures

Hashing is a data structure technique that maps keys to array indices using a hash function, enabling average O(1) time for search, insert, and delete operations. Collisions are handled via chaining or open addressing, a...

  • Hashing maps keys to indices using a hash function, enabling fast data access.
  • Average time complexity for operations is O(1), but worst-case is O(n).
  • Collisions occur when two keys hash to the same index; they must be resolved.

~8 min · full explanation, examples & memory tricks in the app

❓ Leveled MCQ practice

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32 questions laddered from warm-up to topper-level, each with an explanation. A taste:

What is the primary purpose of a hash function in a hash table?

Beginner
A To compress the data to save memory B To map keys to indices in an array C To sort the keys in ascending order D To encrypt the data for security
Show answer & explanation

To map keys to indices in an array

A hash function computes an index from a key, enabling O(1) average-time access in a hash table.

Which of the following is a common hash function for integer keys?

Beginner
A key % table_size B key * table_size C key / table_size D key + table_size
Show answer & explanation

key % table_size

The modulo operation (key % table_size) is a simple and widely used hash function to map keys into the range of table indices.

What is a collision in hashing?

Beginner
A The hash table is full B The hash function returns a negative value C The key is not found in the table D Two different keys map to the same hash index
Show answer & explanation

Two different keys map to the same hash index

A collision occurs when a hash function produces the same index for two or more distinct keys.

Which collision resolution technique uses a linked list at each table slot?

Beginner
A Linear probing B Separate chaining C Double hashing D Quadratic probing
Show answer & explanation

Separate chaining

Separate chaining stores all elements that hash to the same index in a linked list (or similar structure) at that slot.

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