.NET Interactive Solving Sudoku using Grover's Algorithm We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules: •No column may contain the same value twice •No row may contain the same value twice If we assign each square in our sudoku to a variable like so: 1 V V₁ V3 V2 we want our circuit to output a solution to this sudoku. Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the conversion of classical decision problems into oracles for Grover's algorithm. Turning the Problem into a Circuit We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit that…

using r language

8. Cash RegisterThis exercise assumes you have created the RetailItem class for Programming Exercise 5. Create a CashRegister class that can be used with the RetailItem class. The CashRegister class should be able to internally keep a list of RetailItem objects. The class should have the following methods: A method named purchase_item that accepts a RetailItem object as an argument. Each time the purchase_item method is called, the RetailItem object that is passed as an argument should be added to the list. A method named get_total that returns the total price of all the RetailItem objects stored in the CashRegister object’s internal list. A method named show_items that displays data about the RetailItem objects stored in the CashRegister object’s internal list. A method named clear that should clear the CashRegister object’s internal list. Demonstrate the CashRegister class in a program that allows the user to select several items for purchase. When the user is ready to check out, the…