Set in C++

Set in C++ internally implemented as (Self-Balancing Binary Search Tree)

Set in C++ STL are a type of associative container in which each element has to be unique because the value of the element identifies it. The values are stored in a specific sorted order, i.e., ascending or descending.

The std::set class is the part of C++ Standard Template Library (STL) and it is defined inside the <set> header file.

Types of set in C++ STL:

Syntax:

std::set <data_type> set_name;

Datatype: The set can take any data type depending on the values, e.g. int, char, float, etc.

Introduction to Set – Data Structure and Algorithm Tutorials

Set Data Structure is a type of data structure which stores a collection of distinct elements. In this article, we will provide a complete guide for Set Data Structure, which will help you to tackle any problem based on Set.

Table of Content

  • What is Set Data Structure?
  • Need for Set Data Structure
  • Types of Set Data Structure
  • Set Data Structure in Different Languages
    • Set in C++
    • Set in Java
    • Set in Python
    • Set in C#
    • Set in JavaScript
  • Difference between Array, Set, and Map Data Structure
  • Internal Implementation of Set Data Structure
  • Operations on Set Data Structure
  • Implementation of Set Data Structure
  • Complexity Analysis of Operations on Set Data Structure:
  • Some Basic Operations/Terminologies Associated with Set Data Structure
  • Properties of Set Data Structure
  • Applications of Set Data Structure
  • Advantages of Set Data Structure
  • Disadvantages of Set Data Structure
  • Some Standard Problems Associated with Set Data Structure
  • Frequently Asked Questions on Set Data Structure

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What is Set Data Structure?

In computer science, a set data structure is defined as a data structure that stores a collection of distinct elements. It is a fundamental Data Structure that is used to store and manipulate a group of objects, where each object is unique . The Signature property of the set is that it doesn’t allow duplicate elements....

Need for Set Data Structure:

Set data structures are commonly used in a variety of computer science applications, including algorithms, data analysis, and databases. The main advantage of using a set data structure is that it allows you to perform operations on a collection of elements in an efficient and organized way....

Types of Set Data Structure:

The set data structure can be classified into the following two categories:...

Set Data Structure in Different Languages:

1. Set in C++...

1. Set in C++

Set in C++ internally implemented as (Self-Balancing Binary Search Tree)...

2. Set in Java

Set in Java internally implemented as (Hash-Table)...

3. Set in Python

Set in Python internally implemented as (Hash-Table)...

4. Set in C#

Set in C# internally implemented as (Hash-Table)...

5. Set in JavaScript

Set in JavaScript internally implemented as (Hash-Table)...

Difference between Array, Set, and Map Data Structure:

Features : Array Set Map Duplicate values Duplicate Values Unique Values keys are unique, but the values can be duplicated Order Ordered Collection Unordered Collection Unordered Collection Size Static Dynamic Dynamic Retrieval Elements in an array can be accessed using their index Iterate over the set to retrieve the value. Elements can be retrieved using their key Operations Adding, removing, and accessing elements Set operations like union, intersection, and difference. Maps are used for operations like adding, removing, and accessing key-value pairs. Memory Stored as contiguous blocks of memory Implemented using linked lists or trees Implemented using linked lists or trees...

Internal Implementation of Set Data Structure:

A set is a data structure that stores a collection of unique elements , with no duplicates allowed. Sets can be implemented using a variety of data structures, including arrays, linked lists, binary search trees, and hash tables....

Operations on Set Data Structure:

Here are some common operations that can be performed on a set data structure in C++ using the set container....

Implementation of Set Data Structure:

Below is the Implementation of the above operations:...

Complexity Analysis of Operations on Set Data Structure:

Operation Time Complexity Explanation Insertion O(log n) Inserting an element into a balanced binary search tree takes O(log n) time due to the tree’s height balancing. Searching O(log n) Searching for an element in a balanced binary search tree takes O(log n) time due to the tree’s height balancing. Deletion O(log n) Deleting an element from a balanced binary search tree takes O(log n) time due to the tree’s height balancing. Accessing Minimum/Maximum O(1) Accessing the minimum/maximum element in a set implemented as a balanced binary search tree can be done in O(1) time. Size of the Set O(1) Accessing the number of elements in the set takes constant time as it is stored separately....

Some Basic Operations/Terminologies Associated with Set Data Structure:

Some Basic Operations/Terminologies Associated with Set Data Structure...

Properties of Set Data Structure:

Storing order – The set stores the elements in sorted order. Values Characteristics – All the elements in a set have unique values . Values Nature – The value of the element cannot be modified once it is added to the set, though it is possible to remove and then add the modified value of that element. Thus, the values are immutable. Search Technique – Sets follow the Binary search tree implementation. Arranging order – The values in a set are unindexed ....

Applications of Set Data Structure:

Sets are abstract data types that can be used to store unique elements in a collection. Here are some common applications of sets:...

Advantages of Set Data Structure:

Set can be used to store unique values in order to avoid duplications of elements present in the set. Elements in a set are stored in a sorted fashion which makes it efficient to check if an element is present in the set or not. Set is dynamic, so there is no error of overflowing of the set. Searching operation takes O(logN) time complexity. Sets can be implemented using different data structures, such as HashSets and TreeSets , each with its own advantages and use cases. Sets can be used in a variety of applications, including algorithms, data analysis, and databases....

Disadvantages of Set Data Structure:

Elements in a set can only be accessed with pointers, there is no indexing in a set like arrays. Set is very complex to implement because of its structure and properties. A set takes O(logN) time complexity for basic operations like insertion and deletion. Sets can only store elements of a specific data type. Sets can use more memory than other data structures, such as arrays or lists because they store each element in a separate location....

Some Standard Problems Associated with Set Data Structure:

1. Find Union and Intersection of two unsorted arrays 2. Count distinct elements in an array 3. Longest Consecutive Subsequence 4. Remove duplicates from sorted array 5. K’th Smallest/Largest Element in Unsorted Array...

Frequently Asked Questions on Set Data Structure

1. What is a Set Data Structure?...