Write a $C++$ main function to accomplish the following tasks and name the source code arithmetic.cpp$.$

Select an operator randomly from addition $(\text{'}+\text{'}),$ subtraction $(\text{'}-\text{'}),$ multiplication $(\text{'}*\text{'}),$ division $(\text{'}/\text{'}),$

and remainder $(1\%\text{'}).$

Hint: You can create an array of characters $($type char in C$++)$ with elements $\text{'}+\text{'},\text{'}-\text{'},\text{'}*\text{'},\text{'}//\text{'},$ and

$1\%1.$ Generate a random integer to represent a valid index in this array. Retrieve the operator located

at the chosen index in the array.

Warning: To ensure accurate grading in Gradescope, save operators in the order of $\text{'}+\text{'},\text{'}-\text{'},\text{'}\text{'}*\text{'},1/\text{'},$

and $1\%\text{'}.$ If the chosen operator differs from the grading script's expectation, you may not receive

credits for your work.

Generate the first operand as a single$-$digit integer, that is$,$ an integer in the range $0,9.$

If the operator is either division or remainder, generate the second operand as a non$-$zero single$-$digit

integer, that is$,$ an integer in the range $1,9,$ otherwise, generate the second operand as a single$-$digit

integer in the range $0,9.$

Perform the operation on the operands based on the chosen operator and save the result.

Prompt the user with the problem, receive a reply from the user. If the reply is correct, print "true";

otherwise, print "false".

Here is a sample input$/$output:

what is $7\%6?1$

true

And another sample input$/$output:

what is $\frac{1}{9}?0$

true

Lastly, one more sample input$/$output:

what is $7\%3?2$

false

There are two approaches to generate a random integer in a given range. To ensure compatibility with

Gradescope, it is necessary to use the first approach. Furthermore, generate random integers in the

following order:

Choose an integer representing a valid index in the character array with elements $\text{'}+{?}^{\text{'}},{?}^{\text{'}}{?}^1,{?}^3{?}^{\text{'}},\frac{1}{1},1\%\text{'}.$

Then generate the first operand.

Finally, generate the second operand.

The first approach involves using the rand$()$ from the