Create a struct called "Product" to represent individual products with the following attributes:

Product ID $($integer$)$

Product Name $($string$)$

Product Price $($double$)$

Quantity in Stock $($integer$)$

Create a class called "Inventory" to manage the overall inventory. The class should include the following functionality:

Add a new product to the inventory.

Remove a product from the inventory.

Display information about a specific product.

Display the entire inventory.

Implement a menu$-$driven program that allows the user to interact with the inventory system. The menu should include options to add, remove, display information, and display the entire inventory. Once the user is done with one menu option, the program should ask if they want to run another menu option or if they want to quit.

You need to demonstrates the use of a struct $($product$)$ to represent individual products and a class $($inventory$)$ to manage the overall inventory system.

Input validation should be considered throughout the whole program.