Part $1$: Arrays

Open up the following code: Arrays.cs

Come up with a plan on how to implement the MultiplesOf function. The function should create and return an array of multiples of a number. The starting number and the number of multiples are provided as inputs to the function. For example, MultiplesOf$(3,5),$ where the $3$ is the starting number and $5$ is the number of multiples, would result in $\{3,6,9,12,15\}.$

Using comments in your program, write down your process for solving this problem by step before you write the code.

Implement the MultiplesOf function. $($Make sure to leave your comments in the code, even after you have implemented it$.)$

Part $2$: Solving a Complicated Problem Using a List

Come up with a plan on how to implement the RotateListRight function. This function receives a list of data and an amount to rotate to the right.

For example, if the data is $\{1,2,3,4,5,6,7,8,9\}$ and an amount is $5$ then the list after the function runs should be $\{5,6,7,8,9,1,2,3,4\}.$ If the data is $\{1,2,3,4,5,6,7,8,9\}$ and an amount is $3$ then the list after the function runs should be $\{7,8,9,1,2,3,4,5,6\}.$ The value of amount will be in the range of $1$ and data.Count, inclusive.

Using comments in your program, write down your process for solving this problem by step before you write the code.

Hint: There are multiple ways to solve this problem. Don't worry about trying to find the most elegant solution this week. Your solution could use modulo $(\%)$ to deal with wrapping around the index number back to $0.$

Your solution alternatively could use a technique called list slicing. While you can use the syntax array$[3..]$ for arrays, List in C# uses methods that include the word $\_\_$Range to get the slice. For example, if you had a list data $=\{1,2,3,4,5\}$ then data.GetRange$(0,3)$ will give you a new list $\{1,2,3\}$ which goes from the beginning of the list $($index $0)$ up for $3$ values. If you wrote the slice as data.GetRange$(3,$ data.Count $-3)$ then you would get the list $\{4,5\}$ which is index $3$ to the end.

Other methods you might find helpful are:

GetRange$($index$,$ count$)$

RemoveRange$($index$,$ count$)$

AddRange$($list or array$)$

InsertRange$($index$,$ list or array$)$

Add$($value$)$

Insert$($index$,$ value$)$

RemoveAt$($index$)$

See the documentation for a C# List to see all the methods available.

Implement the RotateListRight function. $($Make sure to leave your comments in the code, even after you have implemented it$.)$