Suppose you are required to make a C$++$ program for inventory management of a grocery store in Ajman. The information that must be stored for each inventory item include code of the item, its, name, its type, its price and its quantity. You must make this program using STL vectors of C$++,$ which supports the following operations: $($a$)$ Add a new item to the inventory along with its quantity. If the item already exists, its quantity will be updated. If it doesnt exist, new item will be added to the list$($b$)$ Update the information of an item including updating quantity and price$($c$)$ Delete an entire item, or some quantity of the item$($d$)$ Search an item by its code$($e$)$ Search an item by its name$($f$)$ Search all the items of the same type$($g$)$ Display all the items in the listNote: The program should be menu$-$driven.