Priority Queue (one way list)

In priority queue it's just like a queue, but you have to place values with higher priority on the top of the list. Also available in STL. Read here,

Priority Queue in C++ Standard Template Library (STL) - GeeksforGeeksGeeksforGeeks

And just like queue you can also implement manually.

6.13 Deletion in priority Queue

To delete we just simple delete like the previous time,

    T pop() {
        if (front == -1) {
            cout << "UNDERFLOW!\n";
            return (T)0;
        }
        T item = arr[front];
        if (front == rear) 
            front = -1, rear = -1;
        else if (front == MAX_NUM - 1)
            front = 0;
        else
            front++;
        return item;
    }

6.14 Insertion in priority queue

And for insertion, we can go ahead and implement a one way list. And if you want, you can also try something similar that we did in queue. In this case, we will try to use our free spaces, left in the memory!

    int insert(T item) {
        if ((front == 0 && rear == MAX_NUM - 1) || (front == rear + 1)) {
            cout << "OVERFLOW!\n";
            return -1;
        } 
        if (front == -1) {
            front = 0;
            rear = 0;
        } else if (rear == MAX_NUM - 1) {
            rear = 0;
        } else {
            rear++;
        }
        arr[rear] = item;
        return rear;
    }

Priority Queue (one way list)

So, here's a full implementation.

#include <iostream>
using namespace std;
#define MAX_NUM 3

template <typename T> class queue
{
private:
    long long front;
    long long rear;
    T arr[MAX_NUM];
public:
    queue() {
        front = -1;
        rear = -1;
    }
    int insert(T item) {
        if ((front == 0 && rear == MAX_NUM - 1) || (front == rear + 1)) {
            cout << "OVERFLOW!\n";
            return -1;
        } 
        if (front == -1) {
            front = 0;
            rear = 0;
        } else if (rear == MAX_NUM - 1) {
            rear = 0;
        } else {
            rear++;
        }
        arr[rear] = item;
        return rear;
    }
    T pop() {
        if (front == -1) {
            cout << "UNDERFLOW!\n";
            return (T)0;
        }
        T item = arr[front];
        if (front == rear) 
            front = -1, rear = -1;
        else if (front == MAX_NUM - 1)
            front = 0;
        else
            front++;
        return item;
    }
    T peek() {
        return arr[front];
    }
    T back() {
        return arr[rear];
    }
};

int main() {
    queue<int> data;
    data.insert(1);
    data.insert(2);
    data.insert(3);
    data.pop();
    data.insert(4); // front 1, rear 0
    data.insert(5);
    cout << data.peek();
    cout << data.back();
    return 0;
}

If it's a bit difficult, maybe you can try to do something like,

What is Priority Queue | Introduction to Priority Queue - GeeksforGeeksGeeksforGeeks

But in this case it can be more time-consuming than my implementation, cause, here whenever you pop out an element you actually shift the rest.