For this project, you will develop a program named project$1.$ cpp to determine the final scores, letter grades, and rankings of all students in a course. All records of the course will be stored in an input file, and a record of each student will include the first name, id$,$ five quiz scores, two exam scores, and one final exam score. For each student record, your program should determine the numeric average and letter grade using the following policies:

a$.$ Each quiz is graded on the basis of $10$ points. Among the five quizzes, discard the lowest score and use the remaining four scores for the grade calculation.

b$.$ Each exam is graded on the basis of $100$ points.

c$.$ The final exam is graded on the basis of $100$ points.

d$.$ For the numeric average, the final exam counts for $40$ percent, midterms count for $40$ percent, and quizzes count for $20$ percent, respectively. Any average of $90$ or more is an $\text{'}A\text{'},$ any average of $80$ or more $($but less than $90)$ is a $\text{'}B\text{'},$ any average of $70$ or more $($but less than $80)$ is a $\text{'}C\text{'},$ any average of $60$ or more $($but less than $70)$ is a $\text{'}D\text{'},$ and any average below $60$ is a $\text{'}F\text{'},$

In this project, your program should ask a user for an input file name. Then, it should read the data into your program and store them in a vector of Student type. $($For example:

vector