You are a tired professor and need help determining the final grades at the end of your C$++$ Programming course. You decide to write a program that converts a numerical grade into a letter grade and corresponding GPA.

Specifications:

You must use a switch statement to solve the problem,

Prompt the user to enter a numerical grade $($assume it is an integer$).$ Then use the following scores to determine the final letter grade and GPA:

$\backslash$table$[[$Numerical Score,Letter Grade,GPA$],[90-100,$A$,4\mathrm{.}0],[80-89,$B$,3\mathrm{.}0],[70-79,$C$,2\mathrm{.}0],[60-69,$D$,1,0],[0-59,$F$,0\mathrm{.}0]]$

Print an error message if the grade is larger than $100$ or less than $0.$

HINT: Use an if$-$else statement to determine if you have an invalid grade, and if so$,$ print an error message. Otherwise jump into your switch statement. Additionally, break the grade into two digits and use the switch statement to test the ten's digit.

If you execute the program with the following underlined inputs, the output will be:

$($First Run$)$:

Welcome to the Grade Calculation Program

Enter Numerical Grade: $-{67}_{?}$

Error: Invalid Numerical Grade

$($Second Run$)$:

Welcome to the Grade Calculation Programming

Enter Numerical Grade: ${88}_{?}$

Letter Grade: B

GPA: $3\mathrm{.}0$