Heap and Priority Queue

They are the built-in form of a tree, which stores all the elements in a particular order.
There are majorly two types of Heaps or priority queues that came into action:
Min-Heap:
Elements are stored in such a way that the minimum element will always be on the top.
Max-Heap:
Elements are stored in such a way that the maximum element will always be on the top.
The time complexity of push and pop operations in heaps and priority queues is O(log(N)) and it requires O(N) space.

Introduction

Heaps and Priority Queues are the data structures that are very helpful when we require to sort elements dynamically which means if we add or remove an element then the remaining elements should still be in a sorted manner. We can implement heaps and priority queues in different ways such as the min-heap or max-heap where min-heap has a minimum element on its top and max-heap has a maximum element on its top.

Applications of Heap - Data Structure

By Gaurish Anand

● Published At Feb 2022

This article will discuss the applications of Data Structure - Heap.... Keep reading ..

Types of Heap

There are two types of the heap: Min Heap and Max heap.
Min Heap: The value of the parent node should be less than or equal to either of its children. In other words, the min-heap can be defined as, for every node i, the value of node i is greater than or equal to its parent value except the root node.
Max Heap: The value of the parent node is greater than or equal to its children. In other words, the max heap can be defined as for every node i; the value of node i is less than or equal to its parent value except the root node.

Binary Heap

A binary heap is a complete binary tree that satisfies the heap ordering property.
The ordering can be one of two types:
The min-heap property: Th

Binomial Heap

The Binomial Heap is a special kind of Binary Heap that has fast union and merge operations. Binomial Heap is essentially a set of Binomial Trees. The

Fibonacci Heap

Fibonacci Heap has the best runtime complexity for all priority queue-related operations. We group the minimum heap trees to form a Fibonacci Heap. Fi

Leftist Heap

A leftist heap is implemented using a priority queue. In a leftist heap, every node contains distance to the nearest leaf node. This property is calle

K-Array Heap

In a binary heap, a node can have at most 2 children. A k-ary heap is a generalization of the binary heap. The ‘K’ in a K-ary heap represents the maxi

Priority Queue

Priority queues are an essential concept in Data Structures and Algorithms, with various applications in Dijkstra, Prim, and scheduling algorithms. Systems that juggle several programs and their execution rely heavily on priority queues. They're also crucial to networking systems, such as the internet, because they may help prioritize vital data so it gets through faster. Unlike a normal queue, the element with the highest priority is always at the front of the queue. If that element is removed, the element with the next highest priority moves to the front. Heap data structures are commonly used to implement it.

Priority Queue using Java

By Saksham Gupta

● Published At Dec 2021

In this blog, we will discuss the priority queue using java and will look at its implementation and its mechanisms. ... Keep reading ..

Priority Queue Implementation using Linked List

By Pranav Gautam

● Published At Oct 2021

Learn priority queue implementation with real-life examples and easy-to-understand code. Application of linked list and OOPS concepts are served as a side dish.... Keep reading ..

Priority Queue Using Doubly Linked List

By Riya

● Published At Feb 2022

This article will discuss the implementation of a priority queue using a doubly-linked list and C++ code for implementing the priority queue and the functions related to it using a doubly-linked list.... Keep reading ..

Priority Queue Using a Linked List

By Rhythm Jain

● Published At Nov 2021

This article discusses the concept of implementation of Priority Queue using a Linked List. ... Keep reading ..

Priority Queue using array in C++

By Yukti Kumari

● Published At Nov 2021

This article provides the introduction to priority queue followed by its implementation using an array in C++.
... Keep reading ..

Priority Queue using C++

By Saksham Gupta

● Published At Jan 2022

In this blog, we will discuss the implementation of priority queue using c++ and look at all the major functions that STL provides us.... Keep reading ..

Applications of Priority Queue

By Aditya Narayan Joardar

● Published At Dec 2021

This article discusses the various applications of the priority queue in our day-to-day life. ... Keep reading ..

Double Ended Priority Queue

By Ayush Prakash

● Published At Feb 2022

In this blog, we will implement a data structure “Double-ended priority queue” from scratch.
... Keep reading ..

Priority Queue of Pairs In C++ with Ordering

By Malay Gain

● Published At Feb 2022

n this article, we will learn how to order the elements in a priority queue of pairs.
... Keep reading ..

Problems

There are many popular problems based on Heap and Priority Queue. Some of them are Special Array Operation, Monk and Champions League, AND choices, and Seating Arrangement.
Let's explore some problems related to Heap and Priority Queues.

Converting a BST to Min Heap

By Akshat Chaturvedi

● Published At Oct 2021

In this blog, we’ll learn how to convert a given Binary Search Tree to a Min Heap.
... Keep reading ..

Kth smallest element in a row-wise and column-wise sorted 2D array

By Akshat Chaturvedi

● Published At Oct 2021

In this blog post, we will learn various algorithms to find the Kth smallest element in a row-wise and column-wise sorted 2D array.... Keep reading ..

N Max Pair Combinations

By Akshat Chaturvedi

● Published At Oct 2021

In this blog post, we’ll learn an interesting problem pair sum related to arrays and heaps.... Keep reading ..

Connect N Ropes

By Malay Gain

● Published At Oct 2021

In this article, we will discuss a problem of Connect N Ropes.... Keep reading ..

Median of Stream of Integers Problem

By Arun Nawani

● Published At Oct 2021

In this problem, our objective would be to print the effective median of a stream of integers after every incoming element.
... Keep reading ..

Connect N ropes with minimum cost

By Urwashi Priya

● Published At Oct 2021

This article will brief you on the problem connect N ropes with minimum cost.... Keep reading ..

Sum and product of K smallest and largest Fibonacci numbers in the array

By Shreya Deep

● Published At Dec 2021

This article discusses how to find the sum and product of K smallest and largest Fibonacci numbers in the array.... Keep reading ..

K-th Smallest Pair Sum in The Given Array

By Rhythm Jain

● Published At Dec 2021

This article discusses the problem of obtaining the K-th Smallest Pair Sum in given Array... Keep reading ..

Maximum product of an Array after subtracting 1 from any element N times

By Debarati Ghatak

● Published At Jan 2022

This blog will discuss the problem of finding the maximum product of an array after subtracting 1 from any element N times.
... Keep reading ..

Find the K closest points to origin using Priority Queue

By Vibhor Bhatnagar

● Published At Nov 2021

In this article, we will discuss the problem find the K closest points to origin using priority queue.... Keep reading ..

Length of longest subsequence such that prefix sum at every element remains greater than zero

By Debarati Ghatak

● Published At Nov 2021

In this blog, we will discuss the approach and solution to the given problem in depth.... Keep reading ..

The maximum sum of two non-overlapping intervals in a list of Intervals | Interval Scheduling Problem

By Vibhor Bhatnagar

● Published At Dec 2021

This article will discuss the maximum sum of two non-overlapping intervals in a list of Intervals | Interval Scheduling Problem.
... Keep reading ..

Minimum Difference Between Maximum and Minimum Value of Array with Given Operations

By Ishita Chawla

● Published At Dec 2021

This blog will discuss the problem to find the Minimum Difference Between the Maximum and Minimum Value of Array with Given Operations and its implementation in different languages.
... Keep reading ..

Find The Minimum Range Size That Contains The Given Element for Q Queries

By Malay Gain

● Published At Dec 2021

In this article, we will see the approaches to find the minimum range size that contains the given element for Q queries.... Keep reading ..

Trapping Rain Water in a Matrix

By Soumya Agrawal

● Published At Feb 2022

In this blog, we will understand the concept behind trapping rainwater in a matrix and solve this problem.... Keep reading ..

Merge K Sorted Arrays

By Harsh Goyal

● Published At Jan 2022

This blog will cover the brute force approach to solve the problem “Merge K sorted Arrays” and take you to the efficient method to solve this problem.
... Keep reading ..

Merge two sorted arrays using a Priority queue

By Vibhor Bhatnagar

● Published At Nov 2021

In this article, we will discuss the problem merge two sorted arrays using a priority queue.... Keep reading ..

K-th Smallest Element in the Unsorted Array using a Priority Queue

By Ayush Tiwari

● Published At Nov 2021

This blog discusses the to find K-th smallest element in the unsorted array by using a Priority queue. Read the whole blog for the detailed solution.... Keep reading ..

Minimize cost to convert all characters of a binary string to 0s

By Riya

● Published At Jan 2022

This article will discuss the problem "Minimize cost to convert all characters of a binary string to 0s" in which we have to find the minimum cost to convert all characters of a binary string to 0s, the approach to solve this problem, its C++ impleme... Keep reading ..

Maximum possible Sum of the Array After performing the given operations

By Vaibhav Agarwal

● Published At Dec 2021

In this article, we will discuss the problem of finding the maximum sum of an array under the given conditions.
... Keep reading ..

Last Element Remaining by Deleting the Two Largest Elements and Replacing them with Their Absolute Difference If They are Unequal

By Saksham Gupta

● Published At Jan 2022

In this blog, we will discuss a famous priority queue question, i.e., the last element remaining by deleting the two largest elements and replacing them with their absolute difference if they are unequal.
... Keep reading ..

Reduce the Array to at Most one Element by the Given Operation

By Firdausia Fatima

● Published At Jan 2022

In this blog, we'll use sorting and a priority queue (max heap) to solve an interesting problem, reduce the array to at most one element by the given operation. ... Keep reading ..

K Closest Points To Origin

By Malay Gain

● Published At Nov 2021

In this article, we will learn how to solve the K Closest Points To Origin problem.... Keep reading ..

Rearranging String

By Sandeep kamila

● Published At Nov 2021

This blog will cover the different approaches to the problem of rearranging string with an explanation and its C++ code.
... Keep reading ..

Car Pooling

By Yogesh Kumar

● Published At Nov 2021

In this blog, we will discuss the solution to the Leetcode problem - Car pooling with brute-force in an optimized manner.
... Keep reading ..

Lexicographically Largest String using at most K Swaps at Same Parity Indices

By Reet Maggo

● Published At Dec 2021

This article will teach how to find the lexicographically largest string using at most K swaps at the same parity indices while discussing the time complexity of the program.... Keep reading ..

Process Tasks Using Servers

By Saksham Gupta

● Published At Jan 2022

In this blog, we will discuss one of the famous questions on Leetcode and an important question from the interview perspective, i.e., Process Tasks Using Servers.
... Keep reading ..

## Top Problems related to Heap and Priority Queue

Insertion in a Priority queue -Max Heap

Running Median

Convert Min-Heap to Max-Heap

Last Stone Weight

String Transformation

Fourth Largest Element in the Array

K Most Frequent Words

Sorted Matrix

Minimum K product

Gary and multiplication

Kth largest element

Minimum Character Deletion

Rearrange The Array

Matrix Median

Permutations

Kth largest element in the unsorted array

Kth Smallest Element

Meetings II

K-th Largest Sum Subarray

Magician and Chocolates

Median in a stream