Write a program that lets a teacher convert exam grades for his$/$her class from scores to letter$-$grades, then calculate how many grades are in each letter$-$grade category.

$(1)$ The program first gets a list of integers from input. The input begins with an integer indicating the number of grades $($integers$)$ that follow. As you read each integer representing a grade, transform it into a letter$-$grade, based on the grading scale below, and update a counter variable for that letter$-$grade. For example, if you read in an $88,$ that number is transformed into a $"$B$"$ based on the grading scale, and the counter for how many letter$-$grade $"$B$"$s should be incremented. Hint: you can have a different variable for each letter$-$grade counter.

Grading scale:

$90$ to $100($both inclusive$)=>$ A

$80$ to $89($both inclusive$)=>$ B

$70$ to $79($both inclusive$)=>$ C

$60$ to $69($both inclusive$)=>$ D

$0$ to $59($both inclusive$)=>$ F

$(2)$ Print the numbers of As$,$ Bs$,$ Cs$,$ Ds$,$ and Fs$.$ For example, if the input is:

$9$

$80$

$75$

$100$

$86$

$82$

$93$

$72$

$60$

$55$

where the $9$ indicates that there are nine grades to read, namely $80,75,100,96,82,93,72,60,55.$ Then the output from the program should be:

The distribution of letter grades is: $2$ As$,3$ Bs$,2$ Cs$,1$ Ds$,1$ Fs$.$

Rubric:

Reading all input, and printing the "The distribution of letter grades is:$"$ message, without the actual counts $-5$p$.$

Keeping count for each letter$-$grade $-6$p and printing the statistics $-4$p$.$ Note: keeping count by itself without printing the statistics is not graded automatically. $($Total: $15$p$)$