Write C$++$ progtam to answer this question. The overall grade in a course is determined from the grades of $5$ quizzes, $3$ midterms, and a final, using the following scheme: Quizzes: Quizzes are graded on a scale from $0$ to $10.$ The grade of the lowest quiz is dropped and the average of the $4$ quizzes with the higher grades constitutes $25\%$ of the course grade.

Midterms: Midterms are graded on a scale from $0$ to $100.$ If the average of the midterm scores is higher than the score on the final, the average of the midterms is $35\%$ of the course grade. If the final grade is higher than the average of the midterms, then the lowest midterm is dropped and the average of the two midterms with the higher grades is $35\%$ of the course grade.

Final: Finals are graded on a scale from $0$ to $10.$ The final is $40\%$ of the course grade.

Write a computer program in $C++$ that determines the course grade for a student. The program first asks the user to enter the five quiz grades $($in a vector$),$ the three midterm grades $($in a vector$),$ and the grade of the final. Then the program calculates a numerical course grade $($a number between $0$ and $100).$ Finally, the program assigns a letter grade according to the following key: A for Grade $90,B$ for

$80$ Grade $90,C$ for $70$ Grade $80,D$ for $60$ Grade $70,$ and $E$ for a grade lower than $60.$ Execute the program for the following cases: $($a$)$ Quiz grades: $7,9,4,8,7.$ Midterm grades: $93,83,87.$ Final grade: $9.$

$($b$)$ Quiz grades: $8,6,9,6,9.$ Midterm grades: $81,75,79.$ Final grade: $7.$