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URLhttps://www.programiz.com/cpp-programming/priority-queue
Last Crawled2026-04-16 12:36:27 (1 day ago)
First Indexed2022-01-05 10:56:08 (4 years ago)
HTTP Status Code200
Meta TitleC++ Priority Queue
Meta DescriptionIn C++, the STL priority_queue provides the functionality of a priority queue data structure. In this tutorial, you will learn about the STL priority_queue with the help of examples.
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In C++, the STL priority_queue provides the functionality of a priority queue data structure. A priority queue is a special type of queue in which each element is associated with a priority value and elements are served based on their priority. Priority Queue Data Structure To learn more about priority queues, visit our Priority Queue Data Structure . Create a Priority Queue In order to create a priority queue in C++, we first need to include the queue header file. #include <queue> Once we import this file, we can create a priority_queue using the following syntax: priority_queue<type> pq; Here, type indicates the data type we want to store in the priority queue. For example, // create a priority queue of integer type priority_queue<int> pq_integer; // create a priority queue of string type priority_queue<string> pq_string; Note: By default, STL priority_queue gives the largest element the highest priority. C++ Priority Queue Methods In C++, the priority_queue class provides various methods to perform different operations on a queue. Methods Description push() inserts the element into the priority queue pop() removes the element with the highest priority top() returns the element with the highest priority size() returns the number of elements empty() returns true if the priority_queue is empty Insert Element to a Priority Queue We use the push() method to insert an element into the priority queue. For example, #include<iostream> #include <queue> using namespace std; int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Priority Queue: "; // display all elements of numbers while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } cout << endl; return 0; } Output Priority Queue: 20, 7, 1, In the above example, we have created a priority_queue of integers called numbers . Here, we have used the push() method to insert the following elements into the queue: 1 , 20 , 7 . numbers.push(1); Notice that we have pushed elements in random order but when printing them we get the integers sorted in descending order: 20 , 7 , 1 . The top of the queue is the maximum element in the queue since priority_queue is implemented as max-heap by default. Printing Queue Elements We cannot iterate through a priority queue like we can with vectors and other containers. This is why we have used a while loop and various priority_queue methods to print its elements in the program above. while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } This is because priority_queue is an STL Container Adapter that provides restrictive access to make it behave like a standard priority queue data structure. So, we print its top and then pop the element repeatedly inside a loop until the queue is empty. We will see about pop() , top() and empty() in the coming sections. Remove element from the Priority Queue We can remove an element from the priority_queue using the pop() method. This removes the element with the highest priority. #include<iostream> #include <queue> using namespace std; // function prototype for display_priority_queue() void display_priority_queue(priority_queue<int> pq); int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Initial Priority Queue: "; display_priority_queue(numbers); // remove element from queue numbers.pop(); cout << "Final Priority Queue: "; display_priority_queue(numbers); return 0; } // utility function to dislay priority queue void display_priority_queue(priority_queue<int> pq) { while(!pq.empty()) { cout << pq.top() << ", "; pq.pop(); } cout << endl; } Output Initial Priority Queue: 20, 7, 1, Final Priority Queue: 7, 1, In the above example, we have created a priority_queue of integers called numbers . Initially, the content of the priority queue is {20, 7, 1} . We have then used the pop() method to remove the top element: // pop the top element numbers.pop(); This removes the element with the highest priority: 20 . Hence, the final queue contains the elements 7 and 1 . We print the final queue using the display_priority_queue() function. Access Element from the Priority Queue We access the top element of the priority_queue using the top() method. #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // get the element at the top int top = numbers.top(); cout << "Top element: " << top; return 0; } Output Top element: 20 In the above example, we have inserted elements into priority_queue in the following order: 1 , 20 , 7 . Then, we print the top element using: // returns 20 numbers.top(); Here, 20 has the highest priority, so it is at the top. Get the size of the Priority Queue We use the size() method to get the number of elements in the priority_queue . #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of string priority_queue<string> languages; // add items to priority_queue languages.push("C++"); languages.push("Python"); languages.push("Java"); // get the size of queue int size = languages.size(); cout << "Size of the queue: " << size; return 0; } Output Size of the queue: 3 In the above example, we have created a priority_queue of strings called languages and added 3 elements to it. Then we used the size() method to find the number of elements in the queue: int size = languages.size(); Since we have added 3 elements to the queue, languages.size() returns 3 . Check if the Priority Queue is Empty We use the empty() method to check if the priority_queue is empty. This method returns: 1 (true) - if the priority queue is empty 0 (false) - if the priority queue is not empty Example: C++ empty() Method #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of ints priority_queue<string> languages; cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } cout << "Pushing elements..." << endl; // push element into the queue languages.push("Python"); languages.push("C++"); languages.push("Java"); cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes"; } else { cout << "No"; } return 0; } Output Is the queue empty? No Popping all the elements Is the queue empty? Yes In the above example, we have used the empty() method to determine if the languages priority queue is empty, if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } Initially, the queue has no elements in it. So languages.empty() returns true . We then inserted elements into the queue and used the empty() method again. This time, it returns false . Min-Heap Priority Queue We can also create a min-heap priority_queue that arranges elements in ascending order. Its syntax is: priority_queue<type, vector<type>, greater<type>> pq; For example, // integers are arranged in ascending order priority_queue<int, vector<int>, greater<int>> pq_integers; In this type of priority queue, the smallest element gets the highest priority. Example: Min-Heap Priority Queue #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int // arranges elements in ascending order priority_queue<int, vector<int>, greater<int>> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // print element with highest priority cout << "Top element: " << numbers.top(); return 0; } Output Top element: 1
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A priority queue is a special type of queue in which each element is associated with a priority value and elements are served based on their priority. ![In priority queue element with the highest priority is removed first.](https://www.programiz.com/sites/tutorial2program/files/cpp-priority-queue.png) Priority Queue Data Structure To learn more about priority queues, visit our [Priority Queue Data Structure](https://www.programiz.com/dsa/priority-queue). *** ## Create a Priority Queue In order to create a priority queue in C++, we first need to include the `queue` header file. ``` #include <queue> ``` Once we import this file, we can create a `priority_queue` using the following syntax: ``` priority_queue<type> pq; ``` Here, `type` indicates the data type we want to store in the priority queue. For example, ``` // create a priority queue of integer type priority_queue<int> pq_integer; // create a priority queue of string type priority_queue<string> pq_string; ``` **Note:** By default, STL `priority_queue` gives the largest element the highest priority. *** ## C++ Priority Queue Methods In C++, the `priority_queue` class provides various methods to perform different operations on a queue. | Methods | Description | |---|---| | `push()` | inserts the element into the priority queue | | `pop()` | removes the element with the highest priority | | `top()` | returns the element with the highest priority | | `size()` | returns the number of elements | | `empty()` | returns `true` if the priority\_queue is empty | *** ## Insert Element to a Priority Queue We use the `push()` method to insert an element into the priority queue. For example, ``` #include<iostream> #include <queue> using namespace std; int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Priority Queue: "; // display all elements of numbers while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } cout << endl; return 0; } ``` **Output** ``` Priority Queue: 20, 7, 1, ``` In the above example, we have created a `priority_queue` of integers called numbers. Here, we have used the `push()` method to insert the following elements into the queue: **1**, **20**, **7**. ``` numbers.push(1); ``` Notice that we have pushed elements in random order but when printing them we get the integers sorted in descending order: **20**, **7**, **1**. The top of the queue is the maximum element in the queue since `priority_queue` is implemented as **max-heap** by default. *** ### Printing Queue Elements We cannot iterate through a priority queue like we can with vectors and other containers. This is why we have used a `while` loop and various `priority_queue` methods to print its elements in the program above. ``` while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } ``` This is because `priority_queue` is an [STL Container Adapter](https://www.programiz.com/cpp-programming/stl-containers#container-adapter) that provides restrictive access to make it behave like a standard priority queue data structure. So, we print its **top** and then **pop** the element repeatedly inside a loop until the queue is empty. We will see about `pop()`, `top()` and `empty()` in the coming sections. *** ## Remove element from the Priority Queue We can remove an element from the `priority_queue` using the `pop()` method. This removes the element with the highest priority. ``` #include<iostream> #include <queue> using namespace std; // function prototype for display_priority_queue() void display_priority_queue(priority_queue<int> pq); int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Initial Priority Queue: "; display_priority_queue(numbers); // remove element from queue numbers.pop(); cout << "Final Priority Queue: "; display_priority_queue(numbers); return 0; } // utility function to dislay priority queue void display_priority_queue(priority_queue<int> pq) { while(!pq.empty()) { cout << pq.top() << ", "; pq.pop(); } cout << endl; } ``` **Output** ``` Initial Priority Queue: 20, 7, 1, Final Priority Queue: 7, 1, ``` In the above example, we have created a `priority_queue` of integers called numbers. Initially, the content of the priority queue is `{20, 7, 1}`. We have then used the `pop()` method to remove the top element: ``` // pop the top element numbers.pop(); ``` This removes the element with the highest priority: **20**. Hence, the final queue contains the elements **7** and **1**. We print the final queue using the `display_priority_queue()` function. *** ## Access Element from the Priority Queue We access the top element of the `priority_queue` using the `top()` method. ``` #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // get the element at the top int top = numbers.top(); cout << "Top element: " << top; return 0; } ``` **Output** ``` Top element: 20 ``` In the above example, we have inserted elements into `priority_queue` in the following order: **1**, **20**, **7**. Then, we print the top element using: ``` // returns 20 numbers.top(); ``` Here, **20** has the highest priority, so it is at the top. *** ## Get the size of the Priority Queue We use the `size()` method to get the number of elements in the `priority_queue`. ``` #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of string priority_queue<string> languages; // add items to priority_queue languages.push("C++"); languages.push("Python"); languages.push("Java"); // get the size of queue int size = languages.size(); cout << "Size of the queue: " << size; return 0; } ``` **Output** ``` Size of the queue: 3 ``` In the above example, we have created a `priority_queue` of strings called languages and added 3 elements to it. Then we used the `size()` method to find the number of elements in the queue: ``` int size = languages.size(); ``` Since we have added 3 elements to the queue, `languages.size()` returns **3**. *** ## Check if the Priority Queue is Empty We use the `empty()` method to check if the `priority_queue` is empty. This method returns: - **1 (true)** - if the priority queue is empty - **0 (false)** - if the priority queue is not empty *** ### Example: C++ empty() Method ``` #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of ints priority_queue<string> languages; cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } cout << "Pushing elements..." << endl; // push element into the queue languages.push("Python"); languages.push("C++"); languages.push("Java"); cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes"; } else { cout << "No"; } return 0; } ``` **Output** ``` Is the queue empty? No Popping all the elements Is the queue empty? Yes ``` In the above example, we have used the `empty()` method to determine if the languages priority queue is empty, ``` if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } ``` Initially, the queue has no elements in it. So `languages.empty()` returns `true`. We then inserted elements into the queue and used the `empty()` method again. This time, it returns `false`. *** ## Min-Heap Priority Queue We can also create a **min-heap** `priority_queue` that arranges elements in ascending order. Its syntax is: ``` priority_queue<type, vector<type>, greater<type>> pq; ``` For example, ``` // integers are arranged in ascending order priority_queue<int, vector<int>, greater<int>> pq_integers; ``` In this type of priority queue, the smallest element gets the highest priority. *** ### Example: Min-Heap Priority Queue ``` #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int // arranges elements in ascending order priority_queue<int, vector<int>, greater<int>> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // print element with highest priority cout << "Top element: " << numbers.top(); return 0; } ``` **Output** ``` Top element: 1 ``` ### Table of Contents - [Create C++ Priority Queue](https://www.programiz.com/cpp-programming/priority-queue#create) - [Priority Queue Methods](https://www.programiz.com/cpp-programming/priority-queue#priority_queue-methods) - [Insert Elements](https://www.programiz.com/cpp-programming/priority-queue#push) - [Remove Elements](https://www.programiz.com/cpp-programming/priority-queue#pop) - [Access Elements](https://www.programiz.com/cpp-programming/priority-queue#top) - [Find Size of Priority Queue](https://www.programiz.com/cpp-programming/priority-queue#size-empty) - [Check if Queue is Empty](https://www.programiz.com/cpp-programming/priority-queue#empty) - [Min-Heap Priority Queue](https://www.programiz.com/cpp-programming/priority-queue#min-heap) Share on: Did you find this article helpful? 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Readable Markdown
In C++, the STL `priority_queue` provides the functionality of a priority queue data structure. A priority queue is a special type of queue in which each element is associated with a priority value and elements are served based on their priority. ![In priority queue element with the highest priority is removed first.](https://www.programiz.com/sites/tutorial2program/files/cpp-priority-queue.png) Priority Queue Data Structure To learn more about priority queues, visit our [Priority Queue Data Structure](https://www.programiz.com/dsa/priority-queue). *** ## Create a Priority Queue In order to create a priority queue in C++, we first need to include the `queue` header file. ``` #include <queue> ``` Once we import this file, we can create a `priority_queue` using the following syntax: ``` priority_queue<type> pq; ``` Here, `type` indicates the data type we want to store in the priority queue. For example, ``` // create a priority queue of integer type priority_queue<int> pq_integer; // create a priority queue of string type priority_queue<string> pq_string; ``` **Note:** By default, STL `priority_queue` gives the largest element the highest priority. *** ## C++ Priority Queue Methods In C++, the `priority_queue` class provides various methods to perform different operations on a queue. | Methods | Description | |---|---| | `push()` | inserts the element into the priority queue | | `pop()` | removes the element with the highest priority | | `top()` | returns the element with the highest priority | | `size()` | returns the number of elements | | `empty()` | returns `true` if the priority\_queue is empty | *** ## Insert Element to a Priority Queue We use the `push()` method to insert an element into the priority queue. For example, ``` #include<iostream> #include <queue> using namespace std; int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Priority Queue: "; // display all elements of numbers while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } cout << endl; return 0; } ``` **Output** ``` Priority Queue: 20, 7, 1, ``` In the above example, we have created a `priority_queue` of integers called numbers. Here, we have used the `push()` method to insert the following elements into the queue: **1**, **20**, **7**. ``` numbers.push(1); ``` Notice that we have pushed elements in random order but when printing them we get the integers sorted in descending order: **20**, **7**, **1**. The top of the queue is the maximum element in the queue since `priority_queue` is implemented as **max-heap** by default. *** ### Printing Queue Elements We cannot iterate through a priority queue like we can with vectors and other containers. This is why we have used a `while` loop and various `priority_queue` methods to print its elements in the program above. ``` while(!numbers.empty()) { cout << numbers.top() << ", "; numbers.pop(); } ``` This is because `priority_queue` is an [STL Container Adapter](https://www.programiz.com/cpp-programming/stl-containers#container-adapter) that provides restrictive access to make it behave like a standard priority queue data structure. So, we print its **top** and then **pop** the element repeatedly inside a loop until the queue is empty. We will see about `pop()`, `top()` and `empty()` in the coming sections. *** ## Remove element from the Priority Queue We can remove an element from the `priority_queue` using the `pop()` method. This removes the element with the highest priority. ``` #include<iostream> #include <queue> using namespace std; // function prototype for display_priority_queue() void display_priority_queue(priority_queue<int> pq); int main() { // create a queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); cout << "Initial Priority Queue: "; display_priority_queue(numbers); // remove element from queue numbers.pop(); cout << "Final Priority Queue: "; display_priority_queue(numbers); return 0; } // utility function to dislay priority queue void display_priority_queue(priority_queue<int> pq) { while(!pq.empty()) { cout << pq.top() << ", "; pq.pop(); } cout << endl; } ``` **Output** ``` Initial Priority Queue: 20, 7, 1, Final Priority Queue: 7, 1, ``` In the above example, we have created a `priority_queue` of integers called numbers. Initially, the content of the priority queue is `{20, 7, 1}`. We have then used the `pop()` method to remove the top element: ``` // pop the top element numbers.pop(); ``` This removes the element with the highest priority: **20**. Hence, the final queue contains the elements **7** and **1**. We print the final queue using the `display_priority_queue()` function. *** ## Access Element from the Priority Queue We access the top element of the `priority_queue` using the `top()` method. ``` #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int priority_queue<int> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // get the element at the top int top = numbers.top(); cout << "Top element: " << top; return 0; } ``` **Output** ``` Top element: 20 ``` In the above example, we have inserted elements into `priority_queue` in the following order: **1**, **20**, **7**. Then, we print the top element using: ``` // returns 20 numbers.top(); ``` Here, **20** has the highest priority, so it is at the top. *** ## Get the size of the Priority Queue We use the `size()` method to get the number of elements in the `priority_queue`. ``` #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of string priority_queue<string> languages; // add items to priority_queue languages.push("C++"); languages.push("Python"); languages.push("Java"); // get the size of queue int size = languages.size(); cout << "Size of the queue: " << size; return 0; } ``` **Output** ``` Size of the queue: 3 ``` In the above example, we have created a `priority_queue` of strings called languages and added 3 elements to it. Then we used the `size()` method to find the number of elements in the queue: ``` int size = languages.size(); ``` Since we have added 3 elements to the queue, `languages.size()` returns **3**. *** ## Check if the Priority Queue is Empty We use the `empty()` method to check if the `priority_queue` is empty. This method returns: - **1 (true)** - if the priority queue is empty - **0 (false)** - if the priority queue is not empty *** ### Example: C++ empty() Method ``` #include <iostream> #include <queue> using namespace std; int main() { // create a priority queue of ints priority_queue<string> languages; cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } cout << "Pushing elements..." << endl; // push element into the queue languages.push("Python"); languages.push("C++"); languages.push("Java"); cout << "Is the queue empty? "; // check if the queue is empty if (languages.empty()) { cout << "Yes"; } else { cout << "No"; } return 0; } ``` **Output** ``` Is the queue empty? No Popping all the elements Is the queue empty? Yes ``` In the above example, we have used the `empty()` method to determine if the languages priority queue is empty, ``` if (languages.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } ``` Initially, the queue has no elements in it. So `languages.empty()` returns `true`. We then inserted elements into the queue and used the `empty()` method again. This time, it returns `false`. *** ## Min-Heap Priority Queue We can also create a **min-heap** `priority_queue` that arranges elements in ascending order. Its syntax is: ``` priority_queue<type, vector<type>, greater<type>> pq; ``` For example, ``` // integers are arranged in ascending order priority_queue<int, vector<int>, greater<int>> pq_integers; ``` In this type of priority queue, the smallest element gets the highest priority. *** ### Example: Min-Heap Priority Queue ``` #include<iostream> #include <queue> using namespace std; int main() { // create a priority queue of int // arranges elements in ascending order priority_queue<int, vector<int>, greater<int>> numbers; // add items to priority_queue numbers.push(1); numbers.push(20); numbers.push(7); // print element with highest priority cout << "Top element: " << numbers.top(); return 0; } ``` **Output** ``` Top element: 1 ```
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